{"text":"Question: What is the units digit of 168907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 2:58 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 3666, 3679, 3708, 3759, 3838, 3951, 4104?\n\"Answer: z**3 + 2*z**2 + 3663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4879 + -2925. Let i be u*((-1153)\/(-60) - 0). Let a = 37554 - i. What is the common denominator of a and -37\/30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -15 + -1 - (-18 - (-55 - -9) - 27).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2873 and 1394.\nAnswer: 235586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3 - 8. Let b = 29 + -14. Suppose -14*j = -11*j - b. Sort a, j, -3 in ascending order.\nAnswer: a, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9.4 - -13. Let y = q + -4. Which is the biggest value? (a) -3\/2 (b) y (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -c**2\/3 + 2668*c\/3 - 5332\/3.\nAnswer: -(c - 2666)*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 5)*((2*s + s - s)*(-2*s - 4*s + 4*s) - s**2 + 0*s**2 - s**2) + 37 - 14*s**2 - 37 + 0*s + 0*s - 2*s**2 + (-s + 4*s - 5*s)*(2*s + s - s).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:56 PM and 4:39 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-206652)\/(-72) - 6\/36?\nAnswer: 2, 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 400 and 272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5081867.\nAnswer: 7, 725981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 + 19*z**2 + z + 25. Give j(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 846, 850, 856, 864, 874, 886, 900?\nAnswer: 916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*(0 + 0 + 3). Suppose -4*k + 53 = 3*y, r*y + y + 10 = 2*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -501660 divided by -167220?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 2*q**3\/5 + 296964*q**2\/5 + 11024046066*q\/5 + 44091432968\/5 = 0.\nAnswer: -74239, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 543, 539, 535, 531, 527, 523?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 410 is divided by 65.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -105 - 111 - 106 + 323 + 269*z.\nAnswer: 269*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10 - 1230322302?\nAnswer: -1230322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 209043613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hrrr when four letters picked without replacement from hrrhhhyhhhhruhrrh?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 954 + -951. Which is the closest to -1\/3? (a) -0.4 (b) 6 (c) t (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2330830?\nAnswer: 2, 5, 233083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -75772, -151540, -227308, -303076, -378844?\nAnswer: -454612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h - 12 = -27 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Total of -6.8152943 and -5.9.\nAnswer: -12.7152943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-10)\/65 - (-62408)\/52.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5*(-3)\/(-45))\/((-11)\/(-330)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -10, 11407173, 0.5?\nAnswer: 11407173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert a00 (base 14) to base 4.\nAnswer: 132220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1586 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -7451.676 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 - 14. Suppose -5*x = 3*g - 2 - 3, 0 = -g + 5*x - 25. Which is the second biggest value? (a) d (b) 1\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -3*c**3 - c**2 + 6. Let d be z(-2). Let h be d\/300 + 102\/1275. Solve -h*m**3 - 1\/6*m**2 + 0 + 1\/3*m = 0 for m.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(75\/6))\/(-3*110\/(-495)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 593310?\nAnswer: 2, 3, 5, 19777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 AM and 9:24 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 34907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 275818.\nAnswer: 2, 137909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 6) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**2)**45 assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -2*q**2 + 117*q + 163. What is c(60)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.012753 rounded to four decimal places?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.95 + -0.05. Let k = -1.9 - n. Let y = -10 + 14. What is the third smallest value in y, 2, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 6 = 5*n, -5 - 3 = -3*x - n. Let o(p) = 13*p**2 + p + 1 + p - 8*p**x. Let w be o(-1). Sort 5, w, 3 in increasing order.\nAnswer: 3, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 - 34.5. Which is the closest to 0.1? (a) y (b) 25 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2010942883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 - -210?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lbbbulbbbbuububbubb. Give prob of picking 2 u and 2 b.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 5520 a factor of 2647527915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -4298*y - 2527232. Give s(-588).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -12*h + 71 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z - u - 40, 5*u - 60 = -2*z - 3*z. Suppose -z*x = -12*x + 15. Let r = 22 - x. Calculate the remainder when 72 is divided by r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the first derivative of -a**3\/9 + 227*a**2 - 154587*a + 28. Let t(s) = 0. Calculate s.\nAnswer: 681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2563, -3250, -3937, -4624?\nAnswer: -5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4554\/149 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 40 = -2*s. Let w be ((-9)\/36)\/((-14)\/s). Let a be (8\/10)\/((-2)\/(-5)). Sort -1\/9, a, w.\nAnswer: -1\/9, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -12 - (-7 - -2) - (-4 - 15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10691 + 15312. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101 - 1101010001100?\nAnswer: -1101010010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -4 + (-1 + 3 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (320\/(-168))\/((-184)\/322)*3*(-12)\/(-110).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = -i + 7*i. Suppose -i = r - 4*r. Suppose -r*u + k + 0 = -19, -3*k - 8 = u. Solve 2*x - w = 1, 3*x + 31 = -u*w + 2*w for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 46168 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*l + 24*l = -3491 + 1538 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3*4\/(-24)*-6. Let z(o) = 2*o + 13. Let v be z(-7). Let n = 5 + v. Solve -c*d - 5*g + 5 = -4, n*d - 7 = -5*g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssqsqsqrrqoqsrsrq. What is prob of sequence oqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 155072377?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 9*g**3 - g**2 + 13*g - 12. Suppose -19 = -3*o - 16. What is q(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (21\/9 - 3)*-6. Suppose 4*j + 4 = 2*l + 2, -1 = -l + 4*j. Suppose -s + l = 2*q, -3*q + 14 = f*s - 5*s. Solve 3 + q = 2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10715600 rounded to the nearest 100000?\nAnswer: -10700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -3*s + 1. Let z be n(-1). Suppose -5*g = -g - z. Let k = 1 + -4. Put k, g, 0 in descending order.\nAnswer: g, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2380.36 and -37985?\nAnswer: 40365.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*r - r + 2*r)*(-3*r + r + 3*r) - 2595*r + 4*r**2 - 2234*r + 5573*r.\nAnswer: 5*r**2 + 744*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 928\/9 - 102. Let w = -568 - -570. Is w less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -2*a + 4*a + 3*a + a - 15*a. Let n(l) = -240*l**2. Determine n(t(z)).\nAnswer: -19440*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1911) + -2*sqrt(1911))*-6)\/((sqrt(36)\/sqrt(3)*-4)\/sqrt(4)).\nAnswer: -21*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 68.94 times 398\nAnswer: 27438.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(19\/4))**(-41) assuming h is positive.\nAnswer: h**(-779\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 6*c**2 - 364*c - 687. What is a(63)?\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -4\/191?\nAnswer: -4\/191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -379*k**2 + 90*k. Let y(g) = 120*g**2 - 30*g. What is 4*x(d) + 13*y(d)?\nAnswer: 44*d**2 - 30*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaaagaaagagaggaaa. Give prob of sequence agg.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*x**4 + 212*x**3 - 144*x**2.\nAnswer: 2*x**2*(x + 36)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1965.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x**(-30))\/(x\/(x*x**(-2\/19))) assuming x is positive.\nAnswer: x**(-553\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 6 + 19*t - 17*t + (-t + 3*t - 5*t)*(4 - 2 - 1).\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 66*x**3 - 6*x**4 + x + 10 + 36 - 122*x**3 + 55*x**3 wrt x?\nAnswer: -72*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*g + 28 = 34*g. Suppose 2*i = -0*i, i = 3*p - 51. Solve 17 = -2*s + 5*l, 2*s + 5*l + g - p = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**2 - 34*p + 204. Calculate w(25).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 604 (base 12) to base 11.\nAnswer: 71a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -166500*w**3*y**3 + 10*w**3 - 3*w**2 - 44*w*y**3 - 61075 with respect to y.\nAnswer: -499500*w**3*y**2 - 132*w*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 392*f - 368 = 415*f - 4991. Solve 18*j = f - 129 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*f = -193*f + 4529160. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*u**3 - u + u + 1 + u**4 - u**2 + u as p*u + v + s*u**3 + l*u**4 + b*u**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*u - 29 + 629 = 0. Calculate the greatest common divisor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8.15421 - 0.15421. What is the second biggest value in q, -5, -4\/43, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**5)**24\/(a\/a**(3\/2)*a**14))**(5\/2) assuming a is positive.\nAnswer: a**(1065\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l + 7. Let m be (-48)\/9 + 1\/3. Let j be x(m). Let n be -1 - j - (-33)\/12. Is 0.1 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12 + -7. Suppose -u*b + 6 = -4. Suppose -y = -3*h + b*h + 15, 2*y + 48 = 3*h. Calculate the greatest common factor of h and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/(56\/(-16)))\/(10\/70)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -l**3\/5 + 7*l**2 + 168*l\/5 - 468\/5 = 0. What is l?\nAnswer: -6, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (1 - (-16)\/8)*(0 + 20\/(-12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 264 and 3432.\nAnswer: 3432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4891 - 4567. Calculate the highest common factor of x and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -341 + 307 = -2*u. Let l(s) = u*s**2 + s**2 + 0*s**2. Let y(a) = a**2. What is y(l(g))?\nAnswer: 324*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 3:07 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 8 - ((5 - 3) + -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2896 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the first derivative of -w**5\/60 + 7*w**3\/6 + w**2 - 8. Let n(q) be the second derivative of u(q). Differentiate n(k) wrt k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6 times 1639?\nAnswer: 983.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.20467877 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**2 + 33. Let v(n) = -62*n + 27*n + 34*n. What is h(v(t))?\nAnswer: -2*t**2 + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03536 rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o**3 - 689*o**2 + 17089*o - 16399 = 0. What is o?\nAnswer: -713, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2059.9083 months in centuries?\nAnswer: 1.71659025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23 and 138161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2*1*2\/(-14). What is the nearest to b in 4, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 1 = -28. Let p = 14 - q. Put -2, p, 0 in ascending order.\nAnswer: -2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -211244 (base 5) in base 7?\nAnswer: -26424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 29 or 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 11*h**3 - 2*h**2 + 2*h - 1. Suppose -6*j + 2*j + 4 = 0. Let s be u(j). Let k = 6 + -4. What is the highest common divisor of s and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 - 31*t**2 + 154*t - 16. Determine g(25).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 208160, 208157, 208152, 208145, 208136, 208125?\n\"Answer: -u**2 + 208161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) be the third derivative of -262501*v**6\/120 + v**5\/20 - 2*v**3\/3 - 11*v**2. Let r be g(2). Round r to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x = -4*v + 32, 4*x + 2*v - 28 = -0*v. Let q be (4 + 2 - x)*(2 - 3). Solve q = 15*h - 11*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.835 - -0.165. Let m = -0.2 + 0.2. Let z = m - 0. Which is the third smallest value? (a) v (b) 1\/2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes before 8:34 AM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 4, q: 5, e: 1}. What is prob of sequence ez?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00063286372 rounded to 7 decimal places?\nAnswer: -0.0006329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 13 + 35 = 0. Calculate the remainder when 94 is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 243\/31708 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, -2, -3, 917, 5.\nAnswer: -5, -3, -2, 0, 5, 917","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -419 (base 10) in base 2?\nAnswer: -110100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven halves of a decade in months?\nAnswer: 2220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - 6.2. Let k = -1.2 - b. What is the third smallest value in k, 2, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(162) + sqrt(162)*3) + 2)**2 + (sqrt(60)\/(-1*sqrt(3)))\/(sqrt(10) + (-2*sqrt(490) - sqrt(490))))*-1.\nAnswer: -93316 + 17279*sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -32756 + -3?\nAnswer: -32759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -17 * -7\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m = 5*z + 1528 - 1518, -4*z = 2*m + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 575 + -575. Solve -10*j + j - 9 = g for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s**3 - 5*s**2 + 14*s - 11. What is f(-7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j + 120. Let d be h(6). Let t be ((-273)\/d)\/(2\/(-8))*3. What is the greatest common divisor of 52 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000540935 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1628, -3031, -4434?\n\"Answer: -1403*u - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 193 - -27 - 333 - (-27 - 1).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 5*b = 38, -5*l + 5*b + 48 + 2 = 0. Let v(c) = c**3 + c**2 - 5*c - 2. Let g be v(-3). Sort -4, l, g in decreasing order.\nAnswer: l, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -6099575 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -32*b**5\/5 + 26*b**4\/5 + 6*b**3\/5.\nAnswer: -2*b**3*(b - 1)*(16*b + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -133686 greater than -133685?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 53, -4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 3 p when four letters picked without replacement from opjjpzjjjojzpjzzj.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 29\/22868?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fmfm when four letters picked without replacement from {z: 8, m: 5, f: 2}?\nAnswer: 1\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r = 31 - 1 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -94*z**3 - z**2 + 1. Let p be h(1). Let w be (-16 + 0)*(p - 1). Factor 510*j**3 + 1960*j**4 + w*j**3 - 347*j**2 + 200*j + 16 + 686*j**5 + 1287*j**2.\nAnswer: 2*(j + 1)**2*(7*j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1017 = u - 1018. Let q = -0.4 + -0.1. Which is the third smallest value? (a) u (b) -2 (c) q (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(-1\/5)*n)\/(n\/(n\/(n*n**(-3\/5)))*n)*n**(1\/2)\/((n\/n**(-4))\/n) assuming n is positive.\nAnswer: n**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 104, 153, 202, 251?\n\"Answer: 49*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 3\/4 (c) -2 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a decade in years?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d - 5*d. Is 15\/19 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 69273 and 15394.\nAnswer: 138546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(240) + 2*sqrt(240))*3)\/sqrt(4))\/(sqrt(108)\/(sqrt(9)*-2) + 2*sqrt(1728)).\nAnswer: 18*sqrt(5)\/47","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*6*(-4)\/(-36))\/((-885)\/(-15930))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 12 = -2*n, -3*n = 4*c - c + 30. Is (-255)\/(-10) + (-4)\/c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1120211001 - -10?\nAnswer: -1120210221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52 + 77*s - 48*s + 45*s + 27 + 25.\nAnswer: 74*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1028 - 26 - 778 - 59 + 127)*(-1 - 2*o + 1).\nAnswer: 3528*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 46029870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.8525 or 2\/1421?\nAnswer: 2\/1421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3884 is divided by 1291?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8.17 + -0.17. Let x = -8 + a. What is the closest to x in -0.4, -4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 116313 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3\/8, -22, 0.3426.\nAnswer: -22, -5, 0.3426, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.2 + 0.3. Let h = -5 + 7. Suppose -h*n + 10 = 4*t, -t - 3*n + 1 = -n. Which is the nearest to q? (a) -0.4 (b) t (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8\/(-4) - (1 + 0). Which is the nearest to t? (a) -0.5 (b) 3\/7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -66 + 3. Let v = h + -1. Calculate the remainder when v is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 2145*l + 536157. Determine y(-250).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2131436 (base 7) in base 9?\nAnswer: 435428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 4*a**2 - a + 1. Let z be (-1 - 1)\/(1\/(-1)). Let q(u) = -3*u**2. Let d = 9 - 6. Calculate d*q(i) + z*h(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -199349, -4, -1\/6?\nAnswer: -199349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - -2 - (-9)\/90*20\/16?\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -1, -35 = -4*v - 3*l + 6. Let w = -8 + v. What is the second derivative of 6*h**w + 5*h + 3*h**3 + h wrt h?\nAnswer: 54*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -82216604 divided by -1?\nAnswer: 82216604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -z - 153*z**3 - 154*z**3 - 90*z**2 + 308*z**3 as u + y*z + n*z**2 + r*z**3 and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 111 - 103.1. Let m = 3.9 - s. Which is the third smallest value? (a) m (b) -2\/3 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z. Let l = 18 - 15. Let n(x) be the second derivative of -1\/3*x**l + 0*x**2 + 0 + 3*x. Give f(n(j)).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 4 - 3)*(0*r - 2*r - 1 + 0) in the form n + h*r and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*sqrt(209)*1 - sqrt(209))\/(-1*sqrt(1100)).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -v - 2*f - 1, 2*v - 63 = -5*f. Suppose -5 + v = 2*c. What is the remainder when (1 - -1 - -16) + 1 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 158184688?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2 + (5 + 0 + sqrt(325) - ((-1 + sqrt(1300))**2 - ((sqrt(13) + -3*sqrt(13) - sqrt(13)) + 0))))*-5.\nAnswer: -19410 + 330*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/129 and 43\/369.\nAnswer: 15867","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(((sqrt(152) - sqrt(152)*-2)*-3 - sqrt(152) - (sqrt(152) - sqrt(152)*2)*-4)*2)\/((-2*sqrt(32))\/sqrt(4)*4*-6).\nAnswer: -7*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let -2*p**2\/7 + 16460*p\/7 - 33866450\/7 = 0. Calculate p.\nAnswer: 4115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-60)\/8)\/((-4)\/(-8)*-1). Suppose -4*u + r = 5*f, f - 9 - 8 = 2*u. Suppose f*o - o = 360. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000407843 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from xyyyuyfyxyfufybyyyf.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) be the first derivative of -11 + 1\/2*b**2 + 0*b. Let a(i) = 4*i. Calculate k(a(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1925.\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - -12. Suppose 2*t - 54 + s = 0. What is the remainder when 219\/4 + 12\/(-16) is divided by t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 631913 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1005 divided by 1015\nAnswer: 201\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4.33 - 24.57. What is d rounded to 0 decimal places?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*9722\nAnswer: -38888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s = 0, -39*w - 36*s - 76 + 93 = -44*w + 262 for w.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -4, 38, -5, -14?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 73 - 72.8. Which is the fourth biggest value? (a) 0.3 (b) t (c) 4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 179, 184, 191, 200?\n\"Answer: s**2 + 2*s + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve d = 2*a + 3, -568*d + 603*d = -4*a - 191 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 88 + -30 + 31 + -25\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 34 a factor of 20332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(117) + -1 - sqrt(117)) + -3 + 3*(2 + sqrt(117)))**2.\nAnswer: 36*sqrt(13) + 1057","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1450685 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -149235, -298472, -447709, -596946?\n\"Answer: -149237*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1664075 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 AM and 11:23 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -37 + -39 + 2 - -42\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2814.45 * -25\nAnswer: -70361.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the first derivative of -3*s**4\/4 + 2*s**3\/3 - 8. What is the third derivative of w(c) wrt c?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 45347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 31 and 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is (280\/30 + -9)\/((-1)\/(-2697)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410.53604 rounded to the nearest ten?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-8 - ((-2 - -1) + -1)) + -180 + 199\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i + b - 17 + 2 = 0, -24 = 2*i - 4*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 126, 79, 391.\nAnswer: 79, 126, 391","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1, 0.4, 574, 0, 5\/6, 2, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be -7*(2\/(-2) + 0). Let w(j) = -11 - 9*j**2 + 8 + 7*j**2 + 7*j + j**2. Give w(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 14 - (8 + 10 + -10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 854.5143 micrograms in grams?\nAnswer: 0.0008545143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*j - 164472 = -20*j. Suppose 2*a - j = 2*w + 2*w, -2*a + 13746 = 4*w. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 - (1 + -1 + -4 + -40 + -28 + 27)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ddddfdfddddfdddd. What is prob of picking 2 d and 1 f?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 divided by 948.\nAnswer: 1\/474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 5*r = -26, 2*p + 2*r - 2 - 2 = 0. Let y = 334 - 331. Suppose -w - 3*n - 2*n - 8 = 0, p = 5*w + y*n. Solve 0 = -2*o + 4*o - w for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 909 + -409. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 54657 + 28760. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 + -16 - (-10 - (9 + -12))) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 14\/(-6)*(-42)\/5439. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -s + 42050, 50457 + 33643 = 2*s + v. Round s to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -7*x**2 - 21*x + 12. Let l(n) = 8*n**2 + 21*n - 13. Let k(v) = -7*d(v) - 6*l(v). What is the tens digit of k(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a + a. Let m = a - -5. Suppose -m = -2*q + q. Solve -2*h = -2*d + 10, 2*h + q*d = -3*h - 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(171)*2)\/sqrt(9) - (1*sqrt(684))**2.\nAnswer: -684 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(2 + (-32)\/14). Suppose -4*u = -v*u + 9. Suppose 2*z - 3*z + 19 = 0. Solve 5*n = 4*a, 0 = -u*a - 0*n - n - z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1*(-122)\/104 - (-12)\/(-156). Which is smaller: -52 or g?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -4*t + 13. Let v be y(4). Let q = 12 + -18. Let j = -11 - q. Which is the second biggest value? (a) j (b) v (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -230 + 347 + 1370*f**3 - 281*f**3 - 117.\nAnswer: 1089*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2 - 6*c. Let g(n) = -3*n**2 - 17*n - 1. Let t(z) = -6*g(z) + 17*p(z). What is the least common multiple of t(0) and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 983658742.\nAnswer: 2, 11, 44711761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -g + 2*g - 15, -j = 3*g + 11. Suppose 3*n - 3*t = 0, -j*n - t + 30 = 5. Let r(a) = -a**2 + 4*a + 5. Let y be r(n). Solve -3*x + 7 + 5 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 761*s - 6340 = 444*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -39*i**2 - 2*i - 46. Let g(z) = z**2 + z + 5. Let u(n) = -2*g(n) - l(n). What is the thousands digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 - 16*g**2 - 13*g + 7. Let f(l) = -3*l**2 + 18*l + 2. Let t be f(5). List the prime factors of r(t).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 702 by 117.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 9309712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 3*u - 4*u. Suppose -2*z - u - 6 = 0. Let y(i) = -i - 1. Calculate the remainder when 17 is divided by y(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3*k**2 + 1)*(-1447 + 529 + 695).\nAnswer: 669*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 9*v - 42 = 0. Let l(w) = -8*w - 48. Let g(b) = -b + 1. Let t(s) = v*g(s) + l(s). Let x be t(-29). Solve -h = 4*u + u + 5, 17 = x*u + 5*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 17*a*d**2*u**3 + 4*a*d**2*u**2 + 2*a*d**2*u - 2*a*u**3 - d**2*u**3 - d**2 + 7*d*u**2 wrt u?\nAnswer: 102*a*d**2 - 12*a - 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 3, g: 6, f: 2, p: 1}. Give prob of picking 1 x, 1 f, and 2 g.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 21.99232 millilitres in litres?\nAnswer: 0.02199232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2.5 (b) 1 (c) -431 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 20*y**3 + 5*y**2 + 6*y + 2. Let z be k(-2). Is 6 a factor of (6 - 7)*z + (0 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = -3*t - 97, -37641*z - t + 98 + 102 = -37653*z for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 34886670, 1, 0, 5, -4 in ascending order.\nAnswer: -4, 0, 1, 5, 34886670","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2477 + 80?\nAnswer: -23a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (10754*v**2 + 34*v + 80*v - 10756*v**2)*(2*v + 5*v + 4 - 5*v).\nAnswer: -4*v**3 + 220*v**2 + 456*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -236*d*s*z - 5*d*s - 296*s*z + 4*s wrt d.\nAnswer: -236*s*z - 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-352)\/440)\/((-2)\/10*9).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 57*a + 33*a = -182*a - 1278 - 626 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d and 2 v when four letters picked without replacement from {v: 3, d: 11}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*n**6 - 6547*n**4 + 2*n**3 - n**2 - 55112 wrt n.\nAnswer: 360*n**3 - 157128*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/(-3)*48\/(-32). Suppose c - y = 3*n + 11, -3*c + 7 = -n. Solve c + 7 = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 54305 times 0.0524\nAnswer: 2845.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -14 + 37*r**2 + 14*r**2 + 3 + 33*r**2 - 7 as o*r + h + n*r**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 1312 (base 4) to base 6\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 7755808 times -6\nAnswer: -46534848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is a - 38107?\nAnswer: -380db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2524*n*t**4 - 3960237*n*t - 5*t**4 + t**2 wrt t.\nAnswer: 30288*n*t**2 - 60*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001631611 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 17509967 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n**3 - 13*n**3 - 12*n**3)*(1 - 2*n - 1)*(n + 5*n - 4*n).\nAnswer: 84*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 572 and 169312?\nAnswer: 169312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - 2. Suppose -3*f - 9 = 0, -3*r + 2*f + 0*f = -18. Let m be 13\/r + 2\/b. What is the highest common factor of m and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 16) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2 from 614062333487.\nAnswer: 614062333489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -2*h, -2*m = -9*h + 7*h - 6. Put 13, -1, 2, 9, h in decreasing order.\nAnswer: 13, 9, 2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 1904759*y - 2.\nAnswer: 1904759*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*f - 57*f = -1550 - 124 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -0.433?\nAnswer: -0.0866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by 664?\nAnswer: 1\/332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 295*w = 1419212 - 1394432 for w.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 8\/295, -181, 0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 9711 = -2*y, 0 = -h - y - 0*y + 3238. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5573 is divided by 71.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.84922 + -0.85. Round f to four decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -12786.8 - -12786.4. Let b = 14 + -13.87. Sort 1\/5, b, 1, m in increasing order.\nAnswer: m, b, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (114\/(-8))\/((-21)\/(-7)) and 77\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in ten thirds of a minute?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 - -3. Let u = m - 1. Let g = -7.0000003 - u. Round g to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -151*d**6*u + 545*d**3*u**2 - 36*d**2*u**2 - 2*d*u**2 + 831*u**2 - u wrt d.\nAnswer: -18120*d**3*u + 3270*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 443*d**4 + 132 + 115 - 4 wrt d.\nAnswer: 1772*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(1\/5)*m\/(m\/(m**(-6)*m*m))*m*m**(2\/9)*m**(-1\/10)*((m*m\/(((m*m*m*m\/m**0)\/m)\/m))\/m)**(1\/32)\/(((m*m*m**7*m)\/m)\/m**(2\/3)) assuming m is positive.\nAnswer: m**(-15901\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 - 8*j**2 - 16*j - 40. Let f be u(-7). Suppose 5*g = -y + g - 2, y + 5*g = 0. Let z = y + f. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = c**3. Let x(r) = 11*r**3 + 86*r**2 + 14*r - 56*r + 42*r. Let k(i) = 5*j(i) + x(i). What is the third derivative of k(t) wrt t?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 46372 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 - 7*c**2 + 9*c - 6. Let x = 7 - 1. Suppose 0 = 5*j + 5, -2*h + 5*j = h - 59. Calculate the smallest common multiple of h and m(x).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4969?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -5 (b) -0.1 (c) -3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of r**6\/6 - 30*r**5 + 7*r**2\/2 - 16*r - 6655. Find the second derivative of a(x) wrt x.\nAnswer: 20*x**3 - 1800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2609.38 - -124.12. Round o to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 324, 621, 918, 1215?\nAnswer: 1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001847 rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of a**6\/120 - a**5\/12 + a**4\/24 - 11*a**3\/6 - 34*a**2. Give g(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 432.3543 weeks to hours.\nAnswer: 72635.5224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 192.247976 - 812.\nAnswer: -619.752024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w - 21. Suppose 5*j + 361 = 76. Let i = 69 + j. Let q be s(i). Which is smaller: q or -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, z: 8, l: 8}. Give prob of sequence zzz.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3599896.7 and -0.9.\nAnswer: -3239907.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.02, -8, 2\/21, 0 in increasing order.\nAnswer: -8, -0.02, 0, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 4691*h - 5474*h + 10184*h.\nAnswer: 19*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -3077180 to the nearest one hundred thousand.\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*f = -f + 7*f. Let u(z) be the third derivative of 3*z**2 - 1\/30*z**5 + 0 + f*z**4 + 0*z**3 + 0*z. Let p(g) = -2*g**2. Calculate p(u(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6695 is divided by 124?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*o**3 + 16287*o**2 + 10690485*o + 1878072825.\nAnswer: 3*(o + 365)**2*(o + 4699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 188 and 0.1?\nAnswer: 187.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.08 and -9956626.\nAnswer: -796530.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -3631*v + 3635*v + j = -6, 0 = 4*v - 3*j + 14 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the second derivative of 1\/2*s**4 + 0*s**3 + 111*s - 3\/2*s**2 + 0 - 1\/10*s**6 + 0*s**5. What is f in v(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**8\/f)**(4\/19)\/(f*f\/(f*f**(2\/21)*f*f))**(-10) assuming f is positive.\nAnswer: f**(-3782\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 53454*v + 0 - 62959*v + 0 + (2*v + 0 + 0)*(2 - 4 + 5).\nAnswer: -9499*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 + -0.2. Let l be 2\/(-3) + (-7814)\/42. Let j = 187 + l. What is the nearest to j in o, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.59 in -2\/5, -5, -3\/2, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from rrrrrrororrr?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 121843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 42\/22991 and 47\/3047.\nAnswer: 252901","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 31507164*n**2 + 20639*n - 4.\nAnswer: 63014328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1045 + 5?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 640 = 638 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 2*f**2 - 4 + (-7*f - 3*f + f)*(-f - 2 + 2) - f**2 - f**2 + 3*f**2 in the form z + h*f + m*f**2 and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.28956655 rounded to 3 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that 2*v**3 - 62*v**2 - 4376*v - 30016 = 0.\nAnswer: -28, -8, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 108 and 720.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, z: 1}. What is prob of sequence bzz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 34, 4, -5, -2 in increasing order.\nAnswer: -5, -2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n + 3 + 3 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 109721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-2\/11))**(2\/35)\/((s**19\/s)\/s*s**22*s*s*s) assuming s is positive.\nAnswer: s**(-16174\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 546139890*p + p**2 + 3 - 3 + 546139882*p - 1092279772*p.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 + 16 = 5*i - 5*x, -5*x + 2 = 4*i. Let h(l) = 3*l**3 + 4*l**3 + 2*l + i*l**2 + 2 - 4 - 6*l**3. Suppose -a + 2*a + 2 = 0. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s + 2. Let g(r) be the third derivative of -r**4\/8 + 5*r**3\/6 + 2*r**2. Let i(v) = 2*g(v) - 5*h(v). Let c(o) = -2*o + 1. Calculate -3*c(u) + 5*i(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/688 and -69\/20?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -63, -140, -247?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2005*j**3 - 8444*j.\nAnswer: -12030*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 3*o + 4*p - 22, -3*o + 5*p - 19 = 0. Let w(j) be the second derivative of -j**5\/20 + j**4\/12 - j**3\/6 + j**2 - 2*j. What is w(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 76 = 2*f, 28*h - 3*f - 48 = 26*h. Solve -3*y**3 + h - 15*y - 33\/2*y**2 = 0 for y.\nAnswer: -4, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eex when three letters picked without replacement from {b: 1, e: 2, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 65 + -66. Which is the nearest to 0? (a) -3\/4 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 33 - -22. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/9 + 250*u - 8968\/9.\nAnswer: -2*(u - 1121)*(u - 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2012 is divided by 953.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -11*x + 50*x + 79*x - 198*x**2 wrt x.\nAnswer: -396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 638*m**5 - 3246*m.\nAnswer: 12760*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:53 PM and 4:00 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**4 + 76*g**3 - 452*g**2 + 660*g - 288.\nAnswer: 4*(g - 3)*(g - 1)**2*(g + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 21\/(-6)*4\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 74 - 36. Let y = m + -66. Let r = y - -46. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*i + 27*i = 40*i + 62*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 935 (base 16) in base 3?\nAnswer: 10020022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(275)\/(sqrt(11) - (sqrt(11)*-2 + sqrt(11))))\/(sqrt(15)\/sqrt(27)).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m - 394 + 384. Let f be (-3)\/(10\/6 + -2). Suppose -5*w + p = f, 4*w + p = -0*p. Which is greater: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = -22*q**2. Let s(j) = 1 + 953*j + 82 - 1910*j + 956*j. Calculate s(b(l)).\nAnswer: 22*l**2 + 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 73 - 124. Let f = -305\/6 - j. Which is the biggest value? (a) f (b) -2\/17 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*g - 67 = -2*m - 112*g, -3*g + 43 = 2*m. Is 27 bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 926 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 19.77 from 1.3.\nAnswer: -18.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 43899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -19.41 - -0.41. Let g = 18.753 + 0.247. Let r = g + a. Sort r, -2, 2\/5, -3.\nAnswer: -3, -2, r, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-109860)\/12204 + (1 - -8))\/(-7 - (-100)\/15)?\nAnswer: 2\/339","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:24 AM and 11:19 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -129, 70313, -55 in decreasing order.\nAnswer: 70313, -55, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*s - 4*s - s)*(0 + 0 - 2*s + (-4*s + 3*s + 3*s)*(-4 + 6 - 3)) as u*s + p + h*s**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert -79 (base 15) to base 12.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2\/11, 0.792, 4, -4, -2.91?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-1)\/10*2\/1. Which is the second biggest value? (a) 0 (b) k (c) 5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2020*s**3 - 686*s + 26. Let j(m) = 1347*m**3 - 461*m + 18. Let b(l) = -7*j(l) + 5*t(l). What is the second derivative of b(n) wrt n?\nAnswer: 4026*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f**3 + 8*f**2 - 2*f - 146. Let d(h) = 2*h**3 + 10*h**2 - 2*h - 149. Calculate 4*d(u) - 5*g(u).\nAnswer: -2*u**3 + 2*u + 134","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 12*p**3 - p**2 - 2*p**2 + 0*p**2.\nAnswer: 3*p**2*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 28*g**3*q**3 - 46531*g**3 + 2586*g**2*q**5 + 2*g**2*q wrt q.\nAnswer: 168*g**3*q + 51720*g**2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-165)\/490)\/11)\/(66\/44).\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 25*g. Let h = 13 + -24. Let z(j) = -5*j. Let r(x) = h*z(x) - 2*t(x). Suppose -3*k - 25 = 4*d - 6, k - 3*d = 11. Calculate r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 219678174.\nAnswer: 2, 3, 277, 44059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = 2*p - 3, -81*q = -85*q - 4*p + 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (-4 + 2 - -1)) + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(15\/8)*h\/(h**(9\/10)*h))**(-20) assuming h is positive.\nAnswer: h**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 43736 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g - 8. Let s be o(-5). Let v = -5391\/10 + 539. Which is the biggest value? (a) v (b) -0.5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p*p**(-1))**(-3\/32)\/((((p*p*p*p**(1\/4)\/p*p)\/p)\/p)\/(p*p\/p**(3\/4))) assuming p is positive.\nAnswer: p**(-3\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(192) + 4*sqrt(192))*1)\/sqrt(6) - (-3 + (2 + sqrt(2)*3 + sqrt(2))**2 + 4).\nAnswer: -37 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 367 minutes after 5:35 PM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -134667, -134648, -134629, -134610, -134591, -134572?\n\"Answer: 19*d - 134686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 37 (base 15) in base 5?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 291.4 + -291. What is the nearest to 2\/7 in f, 4, 141?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3174*k + 5*b - 19 = 3175*k, -2*k - 4*b + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 291073, 290352, 289629, 288904?\n\"Answer: -y**2 - 718*y + 291792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6*g**3*j - 3*g**3 + 210*g**2 + 2228879*g*j + 12*g - 90 wrt j.\nAnswer: 6*g**3 + 2228879*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -w**3 - 388*w**2 - 2683*w - 294144. Give s(-383).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, c: 2}. What is prob of sequence uucu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 748708.8t in kilograms?\nAnswer: 748708800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -72.2549 and 4070216.\nAnswer: 4070143.7451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 53 = -0*i + 5*i, 40 = 2*b + 2*i. Suppose -5*x + 3*m = b, 4*x - 3*m = -14 - 2. What are the prime factors of (x + 5 + -5)\/(2\/(-304))?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lfl when three letters picked without replacement from {q: 1, l: 5, f: 7}.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 - 258\/9 - 0. Let j = q - -27. Sort 0, -1\/4, j.\nAnswer: -1\/4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) be the first derivative of -4*k**5\/5 + 42*k**4 + 556*k**3\/3 - 360*k**2 - 2068. Factor c(g).\nAnswer: -4*g*(g - 45)*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.06 - -0.06. Let c = -28 + 31. What is the nearest to 2 in s, 1\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(640) + (-4*sqrt(1000) - sqrt(1000)))\/(-1*sqrt(392) + sqrt(392) + sqrt(200) + sqrt(200) + sqrt(200)*-3).\nAnswer: 21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4392 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*g**4 - 2 - 30*g**2 - g + 39*g**2 - g**3 - 10*g**4 - 21*g**2 - 3*g**4 to the form j*g**4 + i*g**3 + o*g**2 + r + a*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 963467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.807 from 0.02.\nAnswer: -0.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = -5*l - 69, -l + 783 = 3*g + 804 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2052529 less than 3?\nAnswer: -2052526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4620*o - 35213 - 10987 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*q**2 + 986064*q + 121540276512.\nAnswer: 2*(q + 246516)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 251010866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qf when two letters picked without replacement from {f: 1, q: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 + -24. Suppose 0*l - s*l = -180. Calculate the highest common factor of 90 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 - 146*g**2 + 742*g - 1953. Calculate z(-151).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Add together 211459 and 650568.\nAnswer: 862027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*a + 4*c, 2*a + 2*a = -4*c + 12. Suppose r = -4*b + 18, r - 5*b + 32 = 14. Solve 5*q - a = 2*n, r*n + 3 = -5*q + 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*g + g - 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1\/356 - -719\/2492. Factor 0 + 0*t + 4\/7*t**2 + 8\/7*t**4 - 10\/7*t**3 - i*t**5.\nAnswer: -2*t**2*(t - 2)*(t - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence si when two letters picked without replacement from {w: 8, s: 2, t: 2, i: 2, p: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 5757*n - 252292 + 154751 = 167281 for n.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -5*y**2. Let a(r) = 11*r**2. Let n be (171\/76)\/(1 - (-33)\/(-24)). Determine n*a(i) - 13*h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 1585, 2059, 2533?\n\"Answer: 474*r + 1111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dtdt when four letters picked without replacement from {d: 6, t: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 225965368.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2208515*s**2 - 2823*s + 4336.\nAnswer: 4417030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-50)\/20*18\/60.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 588 minutes before 5:47 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -6 (b) -4\/9 (c) -3 (d) 5\/4 (e) 28405\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7507986349 + 4797606128870\/639. Let n = h + -4463. Let w = n - -12131\/3195. Which is smaller: 4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2. Let j(q) = 2*q**3 - 3*q**2 - 5*q. Let i = -28 - -36. Suppose 4 = 12*u - i. Determine u*j(l) + 3*f(l).\nAnswer: 2*l**3 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12.2*-5.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 172191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-2831)\/380 - (-2)\/8)*-20?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -24 - -47. Let c = w + -5. Suppose 4*h - c = h. Solve -3 = 3*f + h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 30*t + 6. Let y be n(15). What is the greatest common factor of y and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 15 = 4*t - 0*f, -2*t - f = -3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/5? (a) -0.1203 (b) 197 (c) -2\/9 (d) 1 (e) 0.218\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i + 0 = n - 7, 3*i + 4*n - 10 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-42)\/9*(-231)\/154.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8680 and 241982776.\nAnswer: 1209913880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23*f**2*p**2 + 2*f**2*p + 3471*f**2 - 4*f*p**3 wrt p.\nAnswer: 46*f**2*p + 2*f**2 - 12*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 16) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/69, 4, 2.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bbgg when four letters picked without replacement from bggbgbbbbgbg?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 1663*w + 54*w = -99586 for w.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 9*f**2 + 353*f - 109. What is the hundreds digit of s(-49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 7*h = 2*h + 18, -4*h + 12 = 2*l. Let d = -7 + l. Let u be (d - 0)*8\/(-20). Put 4, -1\/11, u in increasing order.\nAnswer: -1\/11, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -u**3 + 23*u**2 - u + 24. Let n be b(23). Suppose o - 81 - n = 0. Suppose -o = -3*y - 1. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/27560 and -97\/1060?\nAnswer: 27560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-6*sqrt(72))\/sqrt(2)*-4)\/(3*sqrt(1200)*1))**2.\nAnswer: 48\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10488 and 125628.\nAnswer: 5778888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the third derivative of 131*h**5\/60 + h**4\/8 - h**3\/2 + 9*h**2. Is w(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 40769, 38677, 36585?\nAnswer: 34493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**4 + v**4 - 4*v**4 + (0*v + 0*v - v**3)*(0 + 0 + 2*v) + (0*v - v - v)*(18*v + 22*v - 41*v)*(8*v**2 - 5*v + 5*v).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 51936\/53 - 980. Let v = r - 673\/212. What is the common denominator of v and ((65\/20)\/(-2*(-2)\/(-32)))\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -25124, -22130, -17138, -10148, -1160, 9826?\n\"Answer: 999*t**2 - 3*t - 26120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p - 15 = -4*p, 0 = 3*t - 5*p - 1975. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2648*q**4 - 2*q**2 - 6*q - 1152?\nAnswer: -31776*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 4 = l - 3*s, s = 2. Find the third derivative of y - 7*y**2 - y - l*y**6 + 3*y**2 wrt y.\nAnswer: -480*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -25 + 16. Does 5 divide 15*((-6)\/p)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ydyyddyyyyyy. Give prob of picking 4 y.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(304)*-5 - (0 + sqrt(171))*6.\nAnswer: -38*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 5*m**2 + 7*m**2 - 7*m**2 + (44 - 44 + 28*m)*(-3*m + 3*m - 5*m) in the form z + w*m + b*m**2 and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 52 (base 16) to base 4.\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = l**2 - 6*l - 69. Let w be d(0). Let b = -54 - w. What is the third derivative of 90*q**2 - 4*q**6 + b*q**6 - 93*q**2 wrt q?\nAnswer: 1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2532, 2536, 2544, 2556, 2572, 2592?\n\"Answer: 2*o**2 - 2*o + 2532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - 4. Let s(n) = 5*n**2 + 6*n + 13. Let r(z) = -z**2 - z - 1. Let u(o) = g*r(o) - s(o). What is the derivative of u(d) wrt d?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1974 and 9?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 3*d**2 - 5*d + 14. What is the remainder when j(3) is divided by 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 5*g. Let f be p(5). Suppose 5*z - 41 = 4*z. Suppose -2*k + 8 = f, -5*k - 11 = 2*m - z. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-9\/5)\/(w**(-1)*w))**(-2)\/(w**(-9)\/(w**(-10)\/w))**(-21) assuming w is positive.\nAnswer: w**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 43\/2 of a millimeter in micrometers?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 271 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 17, 2\/17, 0?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 242 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 25 = -a, 2*g + 25 = 5*a + 61. Let u(v) = 30*v + 136. What are the prime factors of u(g)?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6625712 and 7.\nAnswer: 46379984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 0 + 158?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 160695284 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*z - 14 + 4 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 - -10. Let c = 2.3 - 2. Let s = 159 + -1435\/9. What is the third biggest value in c, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/3, 0, -5, 0.079, 4 in decreasing order.\nAnswer: 4, 1\/3, 0.079, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v + v - 3*v)*((-4 + 4 - 2*v)*(-2 - 4 + 4) + 3*v + 0*v - 2*v + (-5*v + 3*v - v)*(3 - 3 - 2) - 2*v - 3 + 3).\nAnswer: -45*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(448) + 2 + sqrt(448) - (sqrt(70)*1 - sqrt(70) - sqrt(70))\/sqrt(10))*-2.\nAnswer: -34*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t**3 + 32*t**2 - 32*t + 35. Let w be g(-33). Let k = 6 - 1. Put k, 1, w in ascending order.\nAnswer: 1, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 75a008 - 1?\nAnswer: 75a007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -2*sqrt(147) + -3 - (-5*(sqrt(75)*-1)**2 + 1).\nAnswer: -14*sqrt(3) + 371","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(2*(-11)\/22)*(0 - -1). Which is greater: -8\/1107 or i?\nAnswer: -8\/1107","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 10*w**3 - 2*w**2 + 5*w + 40. Calculate b(3).\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 13504 and 6014766?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -1)**2 + sqrt(3) + sqrt(18)\/sqrt(6) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*c*j**3 - c*j + c - 725*j**3 - 2*j**2 - 38639 wrt j.\nAnswer: 6*c*j**2 - c - 2175*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*t**5\/13 + 382*t**4\/13 - 1128*t**3\/13 + 1112*t**2\/13 - 288*t\/13 = 0.\nAnswer: 0, 2\/5, 4\/3, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1765 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 3*m**5 + 1161*m**4 + 111606*m**3 - 166692*m**2 - 5286888*m - 9032640 = 0. What is m?\nAnswer: -194, -5, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 3*o**2 - 2*o - 2. Determine b(6).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1463, 1458, 1453, 1448?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 26292 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 0 < -1\/408055914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from tjttrtjjjtr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -7*k**2 + k - 1. What is z(-3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8007 - 2291. What are the prime factors of q?\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/623973 and -34\/21.\nAnswer: 623973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -11386 + -3a1?\nAnswer: -11767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*w - b + 1, 0 = w - 3*b + 5*b - 9. Let a(x) = -373*x**3 - x**2 - x - 1. Let m be a(w). Suppose 0 = -y - 3*y + m. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 88 and 5717063?\nAnswer: 45736504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of -19298375 and -4680.\nAnswer: -19303055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -1. Let x be 1 - ((-4)\/1 + 6). Let l(b) = b + 5. Calculate x*l(m) - 5*o(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - -0.019571036.\nAnswer: -1.980428964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k**4 - 2*k**4 + k**4)*(-1 + 2 - 3) + (4*k + 2*k**2 - 4*k)*(4*k**2 + 0*k**2 - 3*k**2).\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 3 = -1. Suppose 1 = -2*q + 5. Calculate the smallest common multiple of q and (-1)\/(k\/(-2)*1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 10*b*c*d*k + 6927*b*c*k - 42*b*d*k + 2*b*k + 123*c*d + 1520*d*k + 178*d wrt c?\nAnswer: 10*b*d*k + 6927*b*k + 123*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1345 + 6338 = 668*q + 755*q - 5124 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -0.4, 0.42, 635.1, 0.14, 3 in descending order.\nAnswer: 635.1, 4, 3, 0.42, 0.14, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*w = 42*w - 16*w - 305 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/57 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v\/(v**(3\/5)*v))\/v)\/v**(5\/4))**(-29)*(v**(-1))**(2\/39)\/(v*(v*v**(-5))\/v*v\/v**(4\/7)) assuming v is positive.\nAnswer: v**(312149\/5460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -479075553326.3.\nAnswer: 479075553324.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -14403 (base 9) in base 8?\nAnswer: -23114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*z**4 - 2*z - 6*z + 2*z**4 wrt z?\nAnswer: 60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.2634 times -0.1?\nAnswer: 0.12634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*w**2\/7 + 4*w\/7.\nAnswer: -2*w*(w - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 376 divide 1677893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -4269000 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 136336321.8 nanoseconds to weeks.\nAnswer: 0.0000002254238125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 323040014?\nAnswer: 2, 11, 19, 23, 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*g = 14*g - 1152. Suppose 6*m - g + 96 = 0. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2551484 + -0.5.\nAnswer: -2551484.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + -6*3*6*(-3 + sqrt(1125)))**2 + 0.\nAnswer: -1053000*sqrt(5) + 13227625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2882 (c) -4 (d) 0.38 (e) 0.4 (f) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5058 + 5057. Let s = 165\/16 + -7457\/720. Which is bigger: s or v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s = -4*u + 4, 4*u = 13*s - 15*s + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 29*m - 223. Determine r(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the second derivative of 6\/7*z**2 + 2\/7*z**4 + z + 25\/21*z**3 + 12 - 1\/10*z**5. Factor c(w).\nAnswer: -2*(w - 3)*(w + 1)*(7*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 4*k. Suppose -5*y + 2 = -4*y. Let u(o) = 11*o**2 - 9*o**y + o**2 - o**2. What is u(g(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 751 - 751. Solve f = -7*m + 11 - 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 103 >= 121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(128)\/sqrt(2) - 1*sqrt(4)*-6)\/(sqrt(32)*-4 - sqrt(72)*1).\nAnswer: -5*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n + 16 = -u, 2 + 30 = -2*u - 4*n. Are u and -205\/14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -343*u**3 + 12*u**2 - 10*u + 5. Let s(g) = 685*g**3 - 22*g**2 + 18*g - 9. Give -5*s(k) - 9*y(k).\nAnswer: -338*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + -13 + 2 + 5 + -17 + 11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = 99*a. Let l(k) = -4*k. Let p(f) = -3*i(f) - 72*l(f). Let h(t) = 8*t + 7. Give p(h(y)).\nAnswer: -72*y - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1150957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -321 divided by -3\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.031 + 0.03099982. Round x to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*x - 102 + 108 = 2*d, 7*d - 4*d = -2*x - 17 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/189489 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -4*h**4 + 2*h**3 - 4*h**2 + h - 25. Let j(x) = 16*x**4 - 9*x**3 + 18*x**2 - 3*x + 99. Let f(a) = 2*j(a) + 9*m(a). Differentiate f(k) wrt k.\nAnswer: -16*k**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**2\/(l**(7\/3)*l))**(12\/5)\/(l**(-2)\/(l*l**0)*(l\/((l*l**1)\/l))\/l**5) assuming l is positive.\nAnswer: l**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/(-25) - 53\/(-5). Let c(k) = k**3 - 3*k**2 - 29*k + 17. What are the prime factors of c(s)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u**3\/15 + 8728*u**2\/15 + 14526*u\/5 - 17436\/5 = 0. Calculate u.\nAnswer: -4359, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 596287 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be (12 - (-400)\/(-32))*9396\/(-3). Is 1567 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 339 a factor of 815206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15436 + -7727. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6.721, 0.2, -0.06 in decreasing order.\nAnswer: 6.721, 0.2, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m - 2. Let o be p(-2). Suppose -2*r + 1 + 5 = o. Let i = r - 0. Sort -5, i, 0 in decreasing order.\nAnswer: i, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 17170 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((1 + sqrt(432)*-1*-3*2)*1)**2.\nAnswer: 144*sqrt(3) + 15550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -s = -7*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxtxxxeeyxxyxux. Give prob of sequence eey.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -178, 2, -193 in decreasing order.\nAnswer: 2, -2, -178, -193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 2522, -36, -314, 5 in increasing order.\nAnswer: -314, -36, 5, 2522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*d + 7*d = 0. Suppose -5*b + 6*b + 313 = 4*u, d = -3*u - b + 226. What is the remainder when 305 is divided by u?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = -x + 1, -5*x + 5 = -3*z - 0*x. Suppose -4*n + 4*f + 48 = 0, 3*n - 4*f - 10 - 31 = z. Let g(l) = l**2 - 14. What is the units digit of g(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -84.55 to 0 decimal places.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -n**2 - 2*n**2 + n**2 + (0 - 1 + 3)*(2*n**2 + 4*n - 4*n) + 2*n**2 + 8*n - 8*n - 9*n**2 + 96*n**2 - 5*n**2 in the form c*n + g*n**2 + m and give g.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 6597025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-6)\/12 + (-3)\/(-12)*-34. Let j(m) be the third derivative of -7*m**4\/24 - m**3\/3 + m**2. Let x(u) = -15*u - 5. What is i*j(d) + 4*x(d)?\nAnswer: 3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1727, -3449, -5169, -6887, -8603, -10317?\nAnswer: -12029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 2*f - 0*f + 116, 2*o = 4*f + 110. List the prime factors of (1 + o)*42\/28.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49 + 9 = -8*w. Suppose 3*x + m - 53 = -4*m, 4*x + w*m = 74. Suppose -3*o = -8*o + 40. Calculate the remainder when x is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1429 - -19?\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 5*b - 121 = 0, 2*x + 3*b - 36 = 25. Which is smaller: x or 30?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.7 in 5, -2\/23, 1, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -4*f**2 - 7*f + 9. Calculate u(-5).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 579.4 * -1\nAnswer: -579.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75*g - 433 + 2807 - 75*g + 6068 - 2*g.\nAnswer: -2*g + 8442","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 141754434?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -44 - 335*a + 45*a**3 - 196 - 100*a**2 + 63*a**3 - 113*a**3 = 0.\nAnswer: -16, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, -4, -4.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 16790, 16788, 16760, 16688, 16554, 16340?\nAnswer: 16028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d + 73 = a, -2*a + 3*d + 142 = -2*d. Suppose 0 = -4*m + c + 68, -4*m - 5*c + 8 = -36. What is the remainder when a is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3807, -4, -2, 2 in descending order.\nAnswer: 3807, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 1465 = 349*f - 53*f - 3567 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -166.28881 + 166.3. What is u rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 239 + -233. Let o be (x - (-371)\/(-63))\/(1\/(-4)). Which is the third biggest value? (a) 2 (b) -0.1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 2\/15 (b) -0.2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1708 divided by -2.\nAnswer: 854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -135, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 821 divide 476125845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/6396 and -57\/128?\nAnswer: 204672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from xyxyxyxxyyxxy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 564 minutes after 3:44 PM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3\/91 (b) -0.5 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/(r**(-11)*r))**(-10\/3)*(r**(-3\/28)*r)**(-1\/2) assuming r is positive.\nAnswer: r**(-6235\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8 + -8. Suppose 4*x + s = 6*x - 58, -3*s - 12 = t. What is the highest common divisor of 3 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + 1 - (19 + 2376\/(-126)). Let w = -0.9 + 2.2. Let j = w + -2.3. What is the nearest to -3 in 1, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 92 and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -57*i**3 - 3*i + 2*i**2 + 2*i**4 + 3*i + 5*i - 3*i in the form j*i**2 + k + t*i**3 + w*i + y*i**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -150, -18, 3, 1, 0, 4210 in ascending order.\nAnswer: -150, -18, 0, 1, 3, 4210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(-8)*-7*-4. Let a(o) = o. Let r be a(q). Let j(z) = -9*z**2 - 3*z - 2. Let i(v) = -4 - 12*v**2 + 5 + v + 16*v**2. Calculate r*i(u) - 3*j(u).\nAnswer: -u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*u - 338*u**3 + 343*u**3 + 67*u.\nAnswer: 5*u**3 + 95*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -133\/77172 and 31\/3270?\nAnswer: 385860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 291*b**3 + 12519*b**2 + 12480*b + 252.\nAnswer: 3*(b + 1)*(b + 42)*(97*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 22904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, h: 3, g: 4}. What is prob of sequence hghg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -3 + (4*sqrt(243)*1 - (-1 + sqrt(243))*-2) + (sqrt(243) + (sqrt(243) - 1*sqrt(243))*-1 - -1*sqrt(243)*-1)*-3)**2.\nAnswer: -756*sqrt(3) + 8797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 5*p**3 - 37 - 41*p**4 + 5 + 43*p**4 + 2*p**2 - 3*p**3 in the form n + i*p**3 + q*p**2 + a*p + r*p**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xrwif. Give prob of sequence rw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2311, 4621, 6931?\n\"Answer: 2310*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 226, 1795, 6068, 14359, 27982, 48251, 76480, 113983?\n\"Answer: 219*z**3 + 38*z**2 - 78*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iiii when four letters picked without replacement from xxixxixxxiii?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -140 - -578. What is the remainder when f is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 5*i - 30 = 0, 0*m - 5*i - 90 = 5*m. Let l = m + 155. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 1350.6804 months?\nAnswer: 0.1125567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 - 4*m**2 - m + 1. Let s be l(4). Let x be s*((-65)\/(-15) + -2). Let k(i) = 16*i**2 + 5*i + 1. Let q be k(x). Round q to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (4 + ((sqrt(180) - (sqrt(180) + 5)) + sqrt(180) - sqrt(180)))**2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14182*w - 9 = 14177*w + n, 10*w - 3*n = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000001957 to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 316*a**2 - 2*a + 15. Let h be m(3). Let z(y) = h*y**3 + 6*y**2 - 10*y - 2854*y**3 - 1 + 4*y. Give z(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*l**3*p**2 - 834*l**3*p*y**4 + 2*l**3*y**2 + 1081*l**2*p**2 + 3*l*p**2*y**4 wrt y?\nAnswer: -20016*l**3*p*y + 72*l*p**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -s - 13. Let n = 228 + -238. What is f(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 173*g**3 - 91*g**3 - 574*g**3 - 355*g**3 - 343*g**3 + (0 - 1 - 1)*(0*g + g**3 + 0*g) to b*g**2 + d*g + c*g**3 + a and give c.\nAnswer: -1192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(378)*1)\/(sqrt(4)\/sqrt(2)*2))\/((sqrt(252) + 2*sqrt(252)*-3)*2).\nAnswer: -sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 209*h - 174*h - 1235 = 130*h for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) - (sqrt(120) + (1*sqrt(120) - sqrt(120)) + sqrt(120))\/sqrt(4))\/(sqrt(1000)*-1).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 21 in 1\/3, -11, 0.17, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 12 + 4 = -2*b, -3*b - 3*y = 48. Let g = -16 - b. Let q be (0 - 3)\/(3\/g). Is q smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34621.\nAnswer: 89, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 4*z**2 + 67*z + 20. Let a be o(-17). Let r(c) = c**3 - 4*c**2 - 5*c - 4. Let x be r(6). Which is bigger: x or a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 288*c**3 - 29*c**3 - 81*c**3 - 67*c**3 - 67*c**3 - 66*c**3.\nAnswer: -22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0 - 0. Let j = -328\/9 + 110\/3. Let s = -1490 - -1495. What is the closest to 0 in j, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -15*j. Suppose 2*k + 5*d + 78 = 103, -5*d = -k - 25. Let x(a) be the second derivative of -1\/6*a**3 + 0*a**2 + k - 5*a. Calculate x(f(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 PM and 4:34 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -1a135 (base 16) to base 7\nAnswer: -623246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 27813*z + 556212. Calculate u(-20).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 161240 and 2320?\nAnswer: 322480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 10.61935km in meters?\nAnswer: 10619.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {v: 2, l: 2, x: 3, w: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.17188203 and -420?\nAnswer: 419.82811797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 350514 divided by 28.\nAnswer: 175257\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 12 - ((5 + -29 - -14) + 19 + -10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is j in 3*j**3\/4 + 1079487*j**2\/4 + 24296474358*j + 3517317014835 = 0?\nAnswer: -179842, -145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -3\/10*i**5 + 5\/4*i**2 - 1\/3*i - 36 + 11\/8*i**4 - 37\/18*i**3. Suppose a(f) = 0. What is f?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*z = -z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.3 and -523.477?\nAnswer: 523.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 261209 is divided by 266.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 442 - -10?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3264 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*y + 420 = -6*y. What is the tens digit of (-7)\/(y\/2) - (-284)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the first derivative of 15*v**5 - 29*v**3\/3 - 3307*v**2\/2 - 1223. What is the second derivative of t(c) wrt c?\nAnswer: 900*c**2 - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38\/6460*-51*20.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 3065*d**2 + 15610*d - 615. Let g(m) = -219*m**2 - 1115*m + 44. Let n(u) = -85*g(u) - 6*w(u). Find b, given that n(b) = 0.\nAnswer: -5, 2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 + 6*t + 118. Determine s(14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3086\/4035 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1931, -1689, -1275, -599, 429, 1899?\nAnswer: 3901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 29998679 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 205144*g**2. Let l(m) = m**2. Give o(l(t)).\nAnswer: 205144*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 19865439 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-71 - (-109 + 67)) + -5 + 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 + 3*y**2 - 2*y + 1. Let s be u(-3). Let k(l) = l**2 - 2*l + 2. Let j(v) = v + 7. Let n be j(-4). Let b be k(n). Solve -s = -4*z + b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6751 + 34017\/5. Let d = k - 2802\/55. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 780 + -752. Suppose -112 = -4*d - 3*x, 2*x - x = 3*d - 84. Are o and d equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 4 = 2*q. Does 1\/21 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6*s**2 - 15*s - 6. Let c be f(-4). Let q = -22 - c. Solve 2*j + 3*j = q for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-13)*p**5*(p\/(p\/(p**(-3)\/p)))\/(p**(-12)\/p) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 5*n + 5 = k - 2, 0 = -2*n + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1014 a factor of 11595090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 4*u - 9. Let j = -4 + 7. Let q be (-2)\/j*45\/(-3). What is the units digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 6) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -188224 - -3763637\/20. Let u = -139\/4 - x. Let b = u + -9\/10. Calculate the common denominator of b and -61\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 501\/2 + -241. Suppose -2*x - 1 = -11. Find the common denominator of 78\/(-8)*(-4)\/x and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 4, y: 2}. Give prob of picking 2 d and 2 y.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 - ((4 - -17) + -17 + 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -20 - -121101?\nAnswer: 121031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the second derivative of -22*d + 25\/6*d**3 + 0 + 17\/2*d**2. Find the first derivative of s(c) wrt c.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 + -2 + 2 - 12) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 - 11 = 5*u - y, 2*u = y - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + 2)*29\/609?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 4 - 4)*(-379*m**4 - 18 + 378*m**4 - 4 + 4*m**4 - m**4 - m**4 + (4*m**3 - 4*m**3 - 2*m**4)*(3 - 2 + 0) + 4*m**4 - 4*m**4 - 2*m**4).\nAnswer: 6*m**5 + 44*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.007 + 4.007. Let w be 0 + 1 + (-7)\/6. Let q = 0.02 + 0.28. Which is the smallest value? (a) u (b) w (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 85759780?\nAnswer: 2, 5, 4287989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2*l**2 - 4*l - 5. Suppose -4*i - 12 + 32 = 0. Let g be p(i). What is the highest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -196935463, -196935465, -196935467?\n\"Answer: -2*j - 196935461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -u - 4. Let q be (1 + (1 - 2))\/2. Suppose q*a + g = 5*a - 32, 3*g + 19 = 4*a. Let p = -12 + a. Calculate h(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6254 and 265?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 3 + 4200?\nAnswer: 4203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -3 + 4*(sqrt(200) + -1)*-2*6.\nAnswer: -480*sqrt(2) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15211535.\nAnswer: 5, 3042307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*t**5 + 3*t**5 + t**5 + 50*t**3 - 4*t**5 - 50*t**3 + (t**4 - t**4 + 2*t**4)*(8*t - 12 + 12) + 4*t**5 + t**5 - 4*t**5.\nAnswer: 14*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -f + t, -3*f - 154*t + 36 = -151*t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -19062? (a) 1 (b) -1\/2 (c) 0 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (((-6)\/(-4))\/((-3)\/16))\/(60\/(-120))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4 - -5)*(-6)\/(-21). Let v = -32 - -68. Let i = 35 - v. What is the closest to -2 in 4, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -659*f - 43407. Calculate o(-66).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-31 + -1)*5\/200*-10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -501 + 507. Suppose 8*g - 1424 = n*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4*(-693)\/88*(-4)\/(-3). Is 1 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 18800 and 97750?\nAnswer: 36754000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 77641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 14 - -8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0\/(-3))\/2 - 4. Let g be z\/(-18) - (-129)\/27. Suppose -2*r = -6*r - 4*k + 24, g*r + 3*k = 28. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 16*j - 14*j + 16*j + 383 - 383. Let y(g) = 7*g + 6. Let l(k) = k + 1. Let f(d) = 6*l(d) - y(d). Give n(f(t)).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -353*j**4 + 485 wrt j.\nAnswer: -1412*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/6, 0, 4\/3, -30, -11\/9 in decreasing order.\nAnswer: 4\/3, 0, -1\/6, -11\/9, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0173 times -0.3?\nAnswer: -0.00519","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 + -3. Let f be (-112)\/(-52) + (-8)\/52. Suppose j - 3*i = 16, j = -f*i + o*i + 13. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3267071386 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -99, 1 in decreasing order.\nAnswer: 1, -5, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*y - 4100 = -326. Let j = 77 - 203. Let g = y + j. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*(t**3*t*t)\/t)**8\/(t\/(t**(-2\/9)*t)*t*t*t*t\/t**4))**(-5\/2) assuming t is positive.\nAnswer: t**(-895\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6403 and 1957.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 414312 - -13?\nAnswer: 414330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 AM and 11:26 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) be the second derivative of n**8\/3360 + n**7\/2520 - n**4\/4 + 2*n. Let x(t) be the third derivative of k(t). Find the third derivative of x(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 204*g**3*m + 104*g**2*m**3 - 3*g*m**3 + 2*g*m**2 + 6*m**3 + m**2 + 313*m wrt g.\nAnswer: 1224*g*m + 208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 979349.\nAnswer: 7, 139907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -5, 2, -9, 418 in descending order.\nAnswer: 418, 2, 0, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Work out 4.59195 + -4.\nAnswer: 0.59195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = 86 - 43. Suppose g = -4*i + b, 5 = -2*g - 5. What is the remainder when 23 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30255 is divided by 1138?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be 31 - 1*0\/(-2). Let h = d - 13. Suppose -5*x = 2*w - 18, -x + 90 = 4*w + h. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-37)\/6 - 1310\/(-1572)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 - 11*r**2 + 15*r - 10. What is m(10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1562812 greater than or equal to 1562816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1206 is divided by 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**3 - 7*z**2 + 40*z + 287. Determine w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {z: 4, e: 4, f: 2, a: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 155174551 a multiple of 404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -8502, -8501, -8500, -8499, -8498, -8497?\n\"Answer: f - 8503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3*((-30)\/(-350))\/((-9)\/10)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(1\/(2\/2*1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1532 - 270. Is 28 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2)*(-i**2 + 0*i**2 + 2*i**2) + (-2 + 0 + 6)*(-2*i + i + 0*i)*(-2*i - 1 + 1).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 - 6*l**2 + 5. Let d be o(-6). Let x(h) = -h**3 + 4*h**2 - h - 2. Let s be x(2). Suppose 3*k - 71 = 2*c, k + s*c + 96 = d*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = 4*v - 6, 2*z - 6 = -3*v + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 5996018 or 11992037\/2?\nAnswer: 11992037\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 32 - 31. Suppose y + 3*y - 7 = 5*h, -4*h + x = -y. Let g = 10 - 14. Sort g, y, -3.\nAnswer: g, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*o**3 - 6*o**3 + 17*o**3 + 21*o**3 - 4*o**3 - o**3.\nAnswer: 67*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -333 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -y, 3*y + 3898 = 4*g - 2*y. Calculate the remainder when g is divided by 89.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 61920 and 23040?\nAnswer: 990720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a be 44 + (20\/25)\/((-4)\/(-50)). Calculate the greatest common divisor of 513 and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 93081071?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(6\/(-13)) - -2. Let d = -36629 + 2087980\/57. Let u = d + r. Which is the nearest to -0.1? (a) 0 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*u + 2*u + 4*u)*(-2 - 21 - 9)*(1600 + 54*u - 1600) in the form h*u + j + d*u**2 and give d.\nAnswer: -3456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1380, -5362, -11952, -21144, -32932, -47310, -64272?\n\"Answer: i**3 - 1310*i**2 - 59*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 659 + -654. Let a be 4\/28 - (7 - d)\/14. Solve a = -4*k + 6*k + 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from krznzsswssnk.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -300*q - 99641 = 2393*q for q.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 58, 95, 110, 103, 74, 23, -50?\n\"Answer: -11*j**2 + 70*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(1 + sqrt(162)) + 3 + 1 + sqrt(162) + 1*(2*sqrt(162) + -4))**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.003211 times -0.3\nAnswer: 0.0009633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {y: 1, a: 5, l: 8, w: 2, n: 2}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 39053\/6 - 6529. Let g = -8 - -6. What is the common denominator of b and (g + -17)*(-10)\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1602\/(-15))\/(15\/75*-2). What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*y*y*y\/y**29*y*y*y*y*(y\/(y*y**34))\/y*y assuming y is positive.\nAnswer: y**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -0.082 * -21\nAnswer: 1.722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + -1 - (-8 + 14 + (-16 + 4 - 15))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**3 - 9*w**2 + 17*w + 14. Let s be y(6). Suppose -6*r - 6 = -s*r. Solve r = 4*t - 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19751 + -19751. Solve -3*k - 66 = -n - 78, 5*k - n - 22 = b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (44\/66)\/(26\/(-6))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -0*c + 5*c. Suppose 0 = -3*r - c*r + 20. Solve -3*w + f - 1 = 0, 12 = -2*w - f - r*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 103.6 + -724.6. Let r = -584 - f. Is r less than or equal to -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -29652145 + 29652148.00000025. Let a = 0.6 - -2.4. Let o = a - t. What is o rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 93 a factor of 4340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/(-64)*30848\/113752?\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 93395533 less than 0.0234?\nAnswer: -93395532.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 10 = 5*u, -2*u - 7 = v + 2*v. Let g be 3\/4*(0 + 4). Calculate the remainder when 2 is divided by 1\/u - (g + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t + 3*t + 13200020 = -h, -4*h = -2*t + 52800008. Round h to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**4*m**(7\/4)\/m)\/(m**(-3\/7)\/(m*m\/((m**(-3\/7)\/m)\/m*m)))*(m**1)**(-27)*((m*m**1)\/m)**(-7) assuming m is positive.\nAnswer: m**(-711\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 91401.12 centuries to months.\nAnswer: 109681344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aw when two letters picked without replacement from {j: 2, w: 2, z: 1, r: 1, a: 1, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 75\/1606 and 19\/198.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a + 20 - 16. Let v be (4\/8*-4)\/(-1). Find the second derivative of -v*k**a + 5*k + 0*k**4 + 6*k**4 - 6*k**4 wrt k.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + (0 - 1) - 28 - (-5567 + 5561)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0\/(-4)*(0 + 2 + -3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -3*k + 15 - 5*k + 3*k + 4*k. Let d(n) = -17*n - 48. Let z(l) = -3*l - 8. Let r(u) = -d(u) + 6*z(u). Give r(i(v)).\nAnswer: v - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 3*v - 21. Let o(k) = k + 11. Let g be o(-4). Let a be m(g). Solve a = f + 2 - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 24 = -3*c, 12 = -5*h + h. Suppose -c*m = 4, 6*m - m = 4*x - 849. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-35)\/14)\/(2\/(-4)). Let k be (-2)\/((-4)\/5)*-2. Sort u, k, 2 in descending order.\nAnswer: u, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 2*b - 916 = -1038, -27*g = b - 1595 for g.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -3*b + 1. Suppose 4*d - b = -4*t + 10, -3*t = -3*d. Find the third derivative of -5*s**5 + 6*s**5 + 3*s**4 - 16*s**d - 3*s**4 wrt s.\nAnswer: 60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 10*z**2 - 86*z - 114. Determine j(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**3 + 15*n**2 + 16*n + 3. Let q be r(16). Let f be q\/(-5) - (-630)\/1175. Do 1 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-27))\/(24\/(-54)) + (-1)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * 5\nAnswer: -0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -964012 and 1?\nAnswer: -964012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -246 + 241. Sort 0, -2, i, 8 in decreasing order.\nAnswer: 8, 0, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(4\/17)*k**(22\/7) assuming k is positive.\nAnswer: k**(402\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + v**2 - v + 4. Let n be o(0). Let m be (48\/(-9))\/(32\/(-48)). Solve -n = 4*k - m*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(637))**2 + 6*-2*sqrt(13).\nAnswer: -12*sqrt(13) + 641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 35231344 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 0 + 2 - 1 - 3 + (2 + 1 - 2)*(0 - 4 + 3) + 4 + 0 - 2 + 2 - 1 + 0)*(-5 + 4*n**3 + 5).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve r**2\/6 + 941*r\/2 + 240331\/3 = 0 for r.\nAnswer: -2641, -182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.058 - -4.842. Let d = f + -4.5. Sort 1\/5, -7, d in decreasing order.\nAnswer: d, 1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 52 (base 10) to base 16\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 106710 divided by -5.\nAnswer: -21342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -174.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the first derivative of -2*h**2 - 56*h - 2803. Calculate n(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/16 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1*-1 - (15 + -9). Let w(r) = r + 11. Let m be w(j). Let q be 97\/4 + (-2)\/8. Solve 7*n = -m*l + 3*n, -3*n = -3*l + q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*c + 130 = -275. What is the nearest to 1 in -0.2, -15, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -14797 by 138.\nAnswer: -14797\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 78 + (-52 - -62 - 42) + -1 + 10?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23732 + 74033. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 23*z + 12*z**2 + 16*z - 66*z + 3 + 25*z in the form j + r*z**2 + q*z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.04061 + 1.738959952.\nAnswer: 1.779569952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 + 3. What is the remainder when 12 is divided by 80\/y + (-1)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 658623 is divided by 329081?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - 11. Let m = 17 + -12. Suppose -y - 11 + 40 = o*b, -m*b - 5*y = -60. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -z**3\/6 + 577375*z**2\/3 + 11547575*z\/6 + 4811500.\nAnswer: -(z - 1154760)*(z + 5)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, o: 6, s: 3}. Give prob of picking 1 k and 1 o.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.506 + 0.12672.\nAnswer: -0.37928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - 500\/16) + (-6)\/(-8). Let z = -27 - s. Which is the nearest to z? (a) -1\/6 (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -50 + 99. Suppose 23*w - 10 = 18*w. Suppose -7 - 31 = -w*o. What is the remainder when i is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 4 (b) 2\/3 (c) -154\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1218412.954 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 + -5. Let b = t - -26. Suppose -175 = -5*q - 5*f, 5*q + 4*f = 20 + 157. What is the remainder when q is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(19) + sqrt(19) + sqrt(19) + 2*-2*sqrt(19))**2 + 4 + 3*(2*sqrt(1900))**2)*5.\nAnswer: 114115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -12, 0.\nAnswer: -12, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**2 + 3*q + 71. Let f be g(0). Let u = -67 + f. Let x(d) = 7 + u - 11 - d**2. Let n(m) = -15*m. Give n(x(o)).\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 400706018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -5, 402089, 4 in descending order.\nAnswer: 402089, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/((-28)\/8)*(-24)\/112?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2.3 + 1.3. Let u(s) = s + 13. Let t be u(-8). Suppose -3*r + g - 4 = 0, 0*g - 28 = r + t*g. Which is the second biggest value? (a) o (b) r (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 1 - 2)*(-5*f + 2*f + 2*f) - 4*f - 2 + 7 - 4.\nAnswer: -6*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 2*j - 11. Let c = j - 9. Determine t so that -7*t**2 + t - 2 + 2 - 4*t**3 + 4*t**c = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-18) - 25\/(-9). Suppose 0 = 14*r - 59 + d. Let g = 40 - 38. Put -7, r, g in descending order.\nAnswer: r, g, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2255 at least as big as -2254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (135\/12)\/(1110\/(-2960)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -55237 + 55169 = -4*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1223868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1310 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t**2 - 13738*t = 0 for t.\nAnswer: 0, 6869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 166008\/(-48419)*(-14)\/52?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -29\/25322 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {f: 2, a: 3, n: 1, o: 2, t: 4, i: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 - 14. What is the derivative of 14*m**b + 4 + 2*m**3 - 2*m**3 - 8*m**4 wrt m?\nAnswer: 24*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1\/20 of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + 4 + 19 + -12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the third derivative of h**4\/12 + 59*h**3\/6 - 4*h**2 - 516*h. Determine o(-31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -247594, -495190, -742786, -990382, -1237978?\n\"Answer: -247596*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -23260 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -80 + 34. Suppose 7*z - 2*z - o = 359, -2*z + 146 = -o. Let c = z + r. Is 10 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 191\/133 + -231\/38. What is the common denominator of m and 11\/420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m = 48.52 + -60.52. Which is the closest to -4? (a) m (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(637) - sqrt(637))*-3 + 5 + (-3 + sqrt(13)*-1*-4)**2*-4.\nAnswer: -863 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -8\/133 and -27\/323.\nAnswer: 2261","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 55987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 47*p**3 - 4*p + 4. Let s be 4\/(-2 + 1)*22\/(-44). What is the tens digit of r(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 144 and 6282.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1302, -1330, -1358?\n\"Answer: -28*t - 1274","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(6*(1 + sqrt(1584)) + (sqrt(1584) + 1)*3 + -4 + -2)*-4)**2.\nAnswer: 93312*sqrt(11) + 18477072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do -277815\/8 and -34727 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 2 + 4 = 0. Suppose -7 = -c*o + 11. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -1 - 9*f**2 + 1 + 4*f**2. Let b(k) = -k. Determine b(r(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*b**2 + 8*b**2 - 3*b**2 + 42*b**3.\nAnswer: 42*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2 - -9. Calculate the remainder when 1740\/30*3\/6 is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 < -2853218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 46135?\nAnswer: 5, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 28255136 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (664\/2324)\/(16\/28).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l**(-14\/9)\/l**(-23) assuming l is positive.\nAnswer: l**(193\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of -w**3\/3 - 6*w**2 - 18*w + 17. Let u be j(-10). Solve -4*l**2 - 10 + 5*l**3 + 61*l - 66*l + l**2 + 13*l**u = 0 for l.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4082 + 4116. What is the remainder when 2785 is divided by g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + 2. Suppose -7 = -r*z - w, 8 = -2*z + 3*z - w. Let s be 1*(9\/z)\/3. Does 0 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 517*x**2 - 129*x - 503. Is v(-23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 1752*y**2 + 5*y + 10. Let l(t) = 1752*t**2 + 6*t + 12. Give 5*l(u) - 6*v(u).\nAnswer: -1752*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 10 + (-8 - 0) + -21?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (541\/(-3) - 1) + (-6)\/(-18). Let h = 688 - k. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.4987um to kilometers.\nAnswer: 0.0000000064987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -133694.2114 rounded to the nearest one hundred?\nAnswer: -133700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1\/3*(-5 + 5 - -3). Which is the closest to 3? (a) 0 (b) 9 (c) 0.5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11 - -32\/3. Suppose v + 14 + 192 = 4*k, 0 = 3*k - v - 154. Suppose k = 5*s - s. What is the second smallest value in s, r, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3*q**2 - 6*q**2 + 4*q**2 - 10*q - 2*q**2. Let y be z(-7). Let b = y - 12. Is b < 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 238\/53 (b) -1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 = -2*y + 18. Let s(l) = l**3 - 10*l**2 + 7*l + 17. Let w be s(9). List the prime factors of 4 + w + -6 - y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 736551 a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -15*c**2*i**3 - 3*c**2*i**2 + 965921*c**2 - 479209*c*i**4 wrt i.\nAnswer: -90*c**2 - 11501016*c*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 3, k: 9}. Give prob of sequence ddd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**2\/3 - 1748296*u\/3 - 582766.\nAnswer: 2*(u - 874149)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 501 + -498. Suppose -3*a + v = -8 - p, -3 = -3*a + 3*v. Solve -8*d + a = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 - 17*c**2 + 63*c + 80. What is f(9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 18 = -5*l - 4, 0 = 3*l + 6. What is the first derivative of 9 + i + 8*h**3 + 17 + 3*h**2 wrt h?\nAnswer: 24*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 276 + -271. Let z be -20 - -20 - p*-1. Let w be 1*(-1 + 2)\/1. Which is the closest to 2\/13? (a) 2\/15 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x = -348*y + 346*y - 62, 3*y + 2*x = -81 for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 + 13 = 3*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 9*g - 105 + 78 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -46*i = -43*i - 21 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1054 is divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 - 18*t**2 - 19*t - 31. Give m(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 24 + 16 - 61 + a**3 + 3*a**2 + 24. Determine h(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 - 6*o + 7. Let j be a(5). Let m be j\/(-6) + (-50)\/(-6). Let v = 11 - m. What is the third smallest value in -6\/7, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7 - -6)*(1 - 1). Suppose 5*w + l - 20 = 0. Let h be -6 + (66\/(-24) - (-3)\/w). Which is the closest to -1\/5? (a) h (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39437 a multiple of 113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 4, 1, 24.\nAnswer: -1, 1, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-7)\/(l*l**(1\/4)*l*l))**(-16))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1443513010.\nAnswer: 2, 5, 17, 43, 181, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -y - 9 = -10 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 4*t + 5*o = 0, 4*t - 16 = -o. Suppose -t*l - 2 = -3*l. Which is the smallest value? (a) l (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 5)*(109*a**5 + 159*a**5 - 62*a**5).\nAnswer: -206*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.5 - -2.5. Which is the third biggest value? (a) p (b) 0 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, a: 1, b: 1, n: 1, s: 1, t: 2}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of -1\/6*l**6 + 6 + 0*l**2 - 4\/5*l**5 + 0*l - 2\/3*l**3 - 5\/4*l**4. Determine g, given that o(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 2*l**2 + 4*l + 4. Let h be n(-3). Suppose 0 + h = -x. Let g = x - -17. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jnjnjxjmo. Give prob of picking 1 n, 1 j, 1 o, and 1 x.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -3 - -1*2600\/10 is divided by 43?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1135992, 1136270, 1136548?\n\"Answer: 278*w + 1135714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 127 minutes after 12:07 PM?\nAnswer: 2:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -133540*u + 667663. Calculate d(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -35*v**4\/6 + 19225*v**3\/3 - 628355*v**2\/6 + 143290*v + 81150 = 0.\nAnswer: -3\/7, 2, 15, 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, 73, -29, 86 in descending order.\nAnswer: 86, 73, 1, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -q, 3*v - 8*q = -3*q + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 119 plus -3465360050?\nAnswer: -3465359931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-18 + 64 + 11 - (-3 - (-9 - -1))) + -4\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 177, -90, -811, -2214, -4527, -7978?\nAnswer: -12795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 458626?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i + 133 = -5. Calculate the remainder when 113 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/1)\/((-51)\/(-34)) - (-29)\/8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 2 = r. Suppose 38 - r = 4*k. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-3\/8)\/d*d*d*d**(2\/11)*d*d**(-2\/15)*d*d*(d*d**(-3)\/d)\/d)**(-2\/15) assuming d is positive.\nAnswer: d**(431\/9900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (8 + -1 - 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163468467.\nAnswer: 3, 18163163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fdr when three letters picked without replacement from {d: 4, f: 1, c: 4, r: 3, b: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17 + 23. Calculate the greatest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -18*x**3 + 2 + 18*x**3 + x**4 - 2*x as a*x**4 + m*x**2 + v + q*x**3 + c*x and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2, -1, 9, 5, 1111 in descending order.\nAnswer: 1111, 9, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*b**3 - 14059*b**2 - 8*b**3 + 12*b**3.\nAnswer: -b**3 - 14059*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (2\/2*-3)\/(12\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -5944?\nAnswer: 1\/2972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -73\/3042 and -77\/2028?\nAnswer: 6084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, a: 4, t: 9, y: 1}. Give prob of picking 1 z and 1 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (6\/7*(-189)\/(-36))\/3. Let d(p) be the second derivative of -6*p + 0 + o*p**2 + 1\/6*p**3. Give d(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 84607 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 - 9*c - 6. Suppose -7*b - 22 - 27 = 0. Calculate the remainder when (-2)\/b - 429\/(-91) is divided by z(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (3 + 2 + (-1 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + sqrt(180) + (sqrt(180) + -1 - sqrt(180)) + sqrt(180) + 2 - -6*(sqrt(180) + -1)*5) + -4)**2 + -1.\nAnswer: -13824*sqrt(5) + 185615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is t in 5*t**3\/4 - 60*t**2 + 1305*t\/4 - 945\/2 = 0?\nAnswer: 3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -185 > 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 3*s + 3 = 0. Suppose -4 = -2*o, -s*a - 2*o + 45 = o. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 2 = -2*d - 0*d, -13 = -3*n + d for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7*a*w**3 + 38010*a*w**2 - 23*a + 9*w**3 - 2*w**2 - 3002098*w wrt w?\nAnswer: 42*a*w + 76020*a + 54*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2915 is divided by 852?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*h - 19*h + h**2 + h**2 + 5*h**2.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 2 + 0 = 0. Suppose 45*c = 55*c - 20. Solve c*h + i*h = -4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffffppf. What is prob of picking 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42015800 divided by 1680632.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.026, -0.5, 0, 1\/3, 7\/22?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*x - 5 + 17. Suppose -3*a - x = -2*f, -5*f - 5*a + 36 = -3*a. Solve 2 = -2*b - f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*y + y - 2*q + 7, 4*y + q - 5 = 0. Solve 0 = 3*c + c + 5*d + 23, 5*c - 3*d = -y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16484 to the power of 1\/2, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -36 - -52. Let s = j + -14. What is the nearest to -0.1 in s, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 856 and 148516?\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 385.7258 hours to seconds.\nAnswer: 1388612.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13 - 13.3. Let s = -32 + 29.2. Let r = -3 - s. Which is the second smallest value? (a) r (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-1)\/(-2)*(-9 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -403 - -433. Which is the fourth smallest value? (a) 0.3 (b) m (c) 0 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19481 = -g + p, -11656 = -2*g + 5*p + 27300. Does 79 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, c: 1, o: 2, s: 1, r: 1, h: 1}. What is prob of sequence dc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 261*n - 262*n + 4. Suppose 0 = 2*z + n*s - 256, -11*s = -5*z - 15*s + 634. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 509.5 + -3878.5. Let d = 3343.832 + s. Let m = d + 25.7. What is m rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1936, 3877, 5818, 7759, 9700, 11641?\n\"Answer: 1941*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 62\/15 and -107\/5964.\nAnswer: 29820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g + 9 - 1. Let f be (1 - g)*(-1)\/1. Let d(j) = -j**2 + 3*j + 1. What is the units digit of d(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 + -4. Let j(m) = -m + 4. Let z be j(4). Let y = 0 + z. Solve y = -0*b + c*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 280\/(-100)*(-13)\/(78\/(-36))*(-10)\/4?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lvl when three letters picked without replacement from {v: 2, l: 8, p: 4}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00001311341 to 7 dps.\nAnswer: -0.0000131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 4, u: 9, v: 3}. Give prob of picking 1 u and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -3*x - 59, 20 = 2*h + x + 3. Let q(y) = 5*y + 7. What is the remainder when q(5) is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 2*f = 42, -3*v + 28 = 4*f - 8. Suppose -5*c + 5*h + 91 = 31, 0 = 3*c + 2*h - v. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4.09 + 0.09. Let r be (-2 - (-316)\/126) + 29\/(-522)*4. What is the third biggest value in o, r, -5, -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 170442 and 15708.\nAnswer: 26248068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.369 + 6.261. Let q = v - -0.37. What is the second smallest value in -3\/4, -2, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -32, -49, -80, -131, -208, -317?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:58 AM and 4:49 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -16820, -16822, -16826, -16832, -16840?\n\"Answer: -k**2 + k - 16820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 38\/14 + 10\/35. Suppose 6 = z*a - 3*d - 0, a + 3*d = 10. Let n be 40\/12*6\/a. Solve -i - 2*i = -2*j - 25, n = j + 2*i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2541785903 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 484191394?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((-221)\/(-51))\/((-22)\/66)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (-1 + -4) - 2 - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -5991 + 6058. Solve r - 79 = 6*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes after 10:37 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 - 7. Suppose 185 = -m*f + 635. Does 22 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 247*h - 248*h + 19 = 0. Solve 3*s + 16 = h for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 times -465?\nAnswer: -46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 6*j + 15, 0 = -2*q - j + 47. Let t be (5 - 187\/33)\/(4\/(-3)). Which is smaller: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17458 and 2842.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 384776143 to the power of 1\/5, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-1000)*-5*40\/30.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110 + 1011101?\nAnswer: 1101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {j: 3, o: 9, d: 2, q: 5}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -10*a + 8. Let u(b) = -b**2 - 11*b + 62. Let h be u(4). What is s(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 4 + 1)*(0*t - t - t)*(t**3 + t**3 + t**3) + 29*t**4 - 5*t**4 + 0*t**4 in the form v*t**2 + o + y*t + u*t**3 + z*t**4 and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 1, d: 1, j: 1, c: 2}. What is prob of picking 1 j and 1 m?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 106613 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in 0.1, -0.22, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.5 - 4. What is the third smallest value in v, -0.5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2 - -3*(-2)\/(-3). Let v(o) = 8*o - 5. Is v(p) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -972*n + 497*n + 476*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (2 + (-2*sqrt(98))**2 - sqrt(4)\/(sqrt(2) - (sqrt(2) - (sqrt(200) - (sqrt(200) - 1*sqrt(200)))))).\nAnswer: -sqrt(2)\/10 + 398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 24788501 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -9*b + 191. Give y(32).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -10*v**2 - 8. Let x be 0 - ((-10)\/(-2) - -1). Let w = x + 5. Let o(t) be the third derivative of t**5\/60 + t**3\/6 - t**2. Give w*m(g) - 8*o(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 28*u + 2*u**4 + 9*u**3 + u**2 + 3*u**3 - 1 - 28*u in the form b*u**4 + x*u**2 + v*u + y*u**3 + k and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (17 - (-11 + 53)) + (-1 - -8 - 3)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 842183775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -110 - 1444211?\nAnswer: -1444321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 834 = 69*k - 63*k. Suppose -w + k = 112. Calculate the remainder when 38 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 100*m**5 - 4 + 7 - 98*m**5 + (m**4 + 0*m**3 + 0*m**3)*(4*m + m - 3*m) + (-6*m**2 + 6*m**2 + 7*m**2)*(-3 + 3 - 2*m**3).\nAnswer: -10*m**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10058 + 10058. Let p(k) = -2*k + 35. What is p(l)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4*1 - 2\/1. Let c = 4 - u. Let v be 2 - (-2 - (47 - c)). Calculate the greatest common divisor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/(-84) + (6\/(-10))\/(861\/22140).\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 101243 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 4305484 to the power of 1\/2, to the nearest integer?\nAnswer: 2075","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -695 - -710. Let q(v) = 5*v**2 - 20*v + 79. Is 16 a factor of q(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-6864)\/(-1092))\/((-14)\/49)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43643546?\nAnswer: 2, 1291, 16903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s**2 + 19*s + 75. Let r be g(0). Suppose r*l = 54*l. Which is the second biggest value? (a) l (b) -27 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 41378?\nAnswer: 2, 17, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + -45a?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rewrtiirwi. What is prob of sequence trw?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -9*v**3 - 183*v**2 - 64*v - 19. Let d be c(-20). Calculate the highest common divisor of d and 4392.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 5894\/213 + -2175691\/78668. What is the common denominator of -89\/4155 and d?\nAnswer: 16620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6919, 13839, 20759, 27679?\nAnswer: 34599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/(c*c*c**(-3\/7)*c))\/c**(-2\/3))**(-7\/2))**(-50) assuming c is positive.\nAnswer: c**(-475\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 474215.46598 to the nearest 10000.\nAnswer: 470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 55\/10 - 3\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 5*x + 195 = 0, 3*z + 3*x - 103 = z. Let c = z - 23. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -101100011000 + 11?\nAnswer: -101100010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -31.2 - -31. What is the closest to -0.3 in 0.4, -5, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h - 5*q - 19 = 0, -3*h + 5*q - 6 = 8*q for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -814.98 + 815. Let w = 2.4 - 3.4. Let k be 4\/44*(2 + -1). Sort k, m, w in descending order.\nAnswer: k, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -7*a**2 - 272*a - 238. Calculate u(-38).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(3\/7)*b**(2\/13)*(b*(b**1*b)\/b)**(-2\/63))**(-29))**(2\/53) assuming b is positive.\nAnswer: b**(-72152\/43407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 36 and 3.333.\nAnswer: 39.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be 10\/((-40)\/(-9))*16\/(-6). Is 2 a factor of (-205)\/(-20) + q\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10435.\nAnswer: 5, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of s**5\/100 - 3*s**4\/20 + 7*s**3\/15 - s + 16. Factor d(p).\nAnswer: p*(p - 7)*(p - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -5 + -2 - -5 - (-8)\/2. Factor 0*m**3 + m**3 + 2*m - 14*m + 10*m - m**s.\nAnswer: m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1756.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 17 + 12*p - 16*p + 14*p wrt p?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10040 - 10045. Let q(t) = -5*t - 15. Calculate q(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 20 - 4 = 0. Suppose 5*n + 20 = -j, 5*j = 4*j + 2*n - k. Is 7 a factor of (-2)\/5 + (-114)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes after 3:35 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -571258 divided by -2?\nAnswer: 285629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/60)\/((-5)\/15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - 1 - 463*(-6 + 3). Suppose -w = -5*z - 2*z. Does 33 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1051*p = 1020*p - 465 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-5))\/((-6)\/(-20)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*s = -12*s + 10. Suppose 11 = -5*h - b + 56, -s*h + 45 = -2*b. Let j = 16 - h. Let a(q) = -q**2 + 8*q - 8. Calculate a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4708 is divided by 74?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 127854 times 6?\nAnswer: 767124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate i**3 + 2663*i**2 + 9026*i - 110551706 with respect to i.\nAnswer: 3*i**2 + 5326*i + 9026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 5, j: 3}. What is prob of sequence jjj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 81679, 0.2 in ascending order.\nAnswer: 0.1, 0.2, 81679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.23 - 4.77. Let u = -365 + 1099\/3. Which is the third biggest value? (a) 22 (b) g (c) u (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10275999 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a = -8584 - 332. Suppose -3*u - 3*x + 31 = -875, a = 5*u - 3*x. Let k = 1478\/5 - u. Which is bigger: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -8 + (-43)\/((-301)\/42). Which is the third smallest value? (a) z (b) 2 (c) -0.0632\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 82\/24255 and 23\/2205.\nAnswer: 24255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/2 - 4814836*h - 11591322853448.\nAnswer: -(h + 4814836)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = 41*r + 474. Let j = 172 + -112. What is the remainder when t(-6) is divided by j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnfnzctn. Give prob of sequence fc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2341353?\nAnswer: 3, 7, 111493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 216 and 36.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u = -351 + 82. Suppose 0 = 5*z - 1287 - 733. Let i = u + z. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -536 + 528 = -4*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) be the third derivative of q**4\/6 - 424*q**2. Let l(p) = 11*p. Suppose -3*u + 5*b = 34, -2*b + 15 = b. Calculate u*l(y) + 8*z(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 4 = 11. Let j = f + 5. Let p(z) = z**3 + 11*z**2 + 11*z + 13. Is 2 a factor of p(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:50 PM and 9:35 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p and 1 w when four letters picked without replacement from {x: 5, s: 1, w: 2, h: 2, p: 5, t: 2}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 10585, 9227, 7883, 6559, 5261, 3995, 2767?\n\"Answer: c**3 + c**2 - 1368*c + 11951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {r: 3, g: 2, y: 10, e: 5}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, h: 1, o: 2}. Give prob of picking 1 k and 1 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -27, 3\/13, -0.0009, -5 in descending order.\nAnswer: 3\/13, -0.0009, -0.4, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 249403 (base 14) to base 5.\nAnswer: 310123140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -3 + 44 + (-8 - (-26 + 20))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/452 or 1?\nAnswer: 7\/452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be -4 - ((-251)\/44 + (-8)\/(-32)). Is j greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 952 + -462. Is 10 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express h**4 + h**3 - h**2 + 0*h**2 + 0*h - 2*h + 4*h**2 in the form z*h + j + v*h**2 + t*h**4 + k*h**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 - 10. Let z = 3.2 - 3. Let h = -0.6 + z. Sort d, 0.4, h.\nAnswer: h, d, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 36.0547, -4, -0.23?\nAnswer: 36.0547","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - 7*c - 2 - 4*c)*(-1 + 1 + 2*c).\nAnswer: -18*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -y, m + 6*y + 15 = 3*y. Suppose 5*i + 3*x + m*x = 23, i = 4*x. What is the lowest common multiple of i and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -313 + 3442\/11. Which is the nearest to 0.2? (a) -0.5 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 263185001?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -2*r - 3*a + 2*a, -2*a + 4 = 0. Let f be -2 + 2 - -6 - r. Solve -v + f = v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/23 in -5, 6, -0.112, 2?\nAnswer: -0.112","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -332011000 (base 4) to base 2.\nAnswer: -111110000101000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 411.6 in -3, 0.1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11, -6, -1, -2, -15, -46?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -g**2 + 2*g. Let h(c) = 2*c**2 - c - 4. Let s(b) = b**2 - 8*b + 9. Let x be s(6). Let n(u) = x*l(u) - h(u). Calculate n(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12625001.\nAnswer: 1879, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 10 = -3*q, -2*q - 1 + 17 = 5*y. Calculate the remainder when 5 is divided by (-4)\/(q + 0 + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -975.1531 - 0.041?\nAnswer: -975.1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -2*k, k - 5*k + 7 = -3*n. Let f be -42*202857\/6 - k. What is f rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2069 + -2337.9. Let p = 270 + j. Put p, 5, -0.4, 0.5 in increasing order.\nAnswer: -0.4, 0.5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -81 - -84. Suppose 0 = 5*v + y - 14, -2*v - 2*y - l*y = -24. Solve -12 = -2*r - v*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8 = 4*a + 3*b, -2*a + 2*b + 817 = 835 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 30, 4327, 5 in descending order.\nAnswer: 4327, 30, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that 2*t**3\/9 + 70*t**2\/9 + 500*t\/9 = 0.\nAnswer: -25, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 27 = 7*i. What is the remainder when i is divided by 2\/(-4) - (-11)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*h + c + 6, 2*h = -14*c + 10*c - 12 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 10:32 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -b**2 - 7*b + 56. Give u(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 2554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 132143302 - -32?\nAnswer: 132143334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/55828 and 49\/561564.\nAnswer: 9546588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/214 != 0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2563648 and 470914.\nAnswer: 1954","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 61 and 4575.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -94*g - 9. Let l(d) = 94*d + 11. Determine 6*h(i) + 5*l(i).\nAnswer: -94*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the first derivative of -92*s**5 - 194*s - 974. Find the first derivative of v(y) wrt y.\nAnswer: -1840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 51210 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7209 and 160698222?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b - 267 = -302. Sort b, -26, -7 in increasing order.\nAnswer: -26, -7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -145\/6*p**2 - 125\/2 - 515\/6*p - 5\/6*p**3.\nAnswer: -5*(p + 1)*(p + 3)*(p + 25)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1343, -1395, -1447, -1499, -1551?\n\"Answer: -52*s - 1291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1260*p**4 + 2*p**3 + 2590*p**2 + 41*p - 1271197.\nAnswer: -15120*p**2 + 12*p + 5180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -z + 20. Let f = 40 - 32. Let r = z - f. Calculate the lowest common multiple of r and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 532621?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91789 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 5*k + k)*(-2 + 5 + 1)*(-1 + 1 - k).\nAnswer: -28*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1821?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 2608 divide 210549056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, -2.5, 1 in decreasing order.\nAnswer: 1, 0.6, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -184396544 by -4.\nAnswer: 46099136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + sqrt(3))*4*5)**2*-2 - (-6*(sqrt(75) + sqrt(75)*-1 + -4))**2.\nAnswer: -6176 - 3200*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -395 + 415 = 2*w - 2*t, -4*t - 640 = -64*w for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 27653*v**5 + 6372*v - 1.\nAnswer: 553060*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + 1. Let q be (68\/3)\/((-5)\/(-15)). Let x = -71 + q. Which is the second smallest value? (a) s (b) 2\/5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191589763 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = -5*j, 2*m = -38*j + 35*j + 13676. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 705.6 minus -4.26?\nAnswer: 709.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 4, 114, 11, -1, 3 in ascending order.\nAnswer: -2, -1, 3, 4, 11, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 0.2 - -2301\nAnswer: 2301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*w**2 - 4*w**2 - 3*w + w**2)*(-2*w**3 + 25*w**3 - 4*w**3).\nAnswer: 19*w**5 - 57*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 892287?\nAnswer: 3, 11, 9013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -519 - -744. Let z = o + -157. Calculate the remainder when z is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x - 5*d = 421, 2*x = -4*d + d + 183. Suppose 0 = -2*l - 2*t - 154, -3*l - x = -5*t + 140. List the prime factors of (l - 1)*(0 - 1).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from zozkg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 2)*(-44*d + 15*d - 4*d).\nAnswer: -99*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 42601945, 85203891, 127805837, 170407783, 213009729?\n\"Answer: 42601946*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 155 (b) 4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4609081.\nAnswer: 4609081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -2118499 by 4.\nAnswer: -2118499\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -209 + 273. Let a(r) = -26*r - 43. List the prime factors of a(v).\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 2 - 2 = 0. Is 7\/14 - (-529)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5400\/(-54))\/(-5)*(-4)\/((-16)\/6).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.5 - 2.5. Let o = -82 - -407\/5. What is the closest to -0.1 in -5, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-4) + (-157)\/(-2). Suppose 4230*j - 405 = 4225*j. Is j at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 25201 by -8207.\nAnswer: -869\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*(sqrt(720) + 5*(1 + sqrt(720))) - (-1 + -4*(sqrt(720) + sqrt(720)*-2 + sqrt(720)))) + 0)*-4.\nAnswer: 96 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1621604710 divided by -110?\nAnswer: 14741861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((sqrt(26) - (sqrt(26) + sqrt(78)\/sqrt(3) + sqrt(26))) + sqrt(26))*3)\/(sqrt(4)\/sqrt(2)*5) + 1 + (sqrt(468) - 2*sqrt(468)) + -5)*-4)**2.\nAnswer: 4224*sqrt(13)\/5 + 232912\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u - 4. Let y(p) = 0*p - 3*p + 4*p + 1. Let g(c) = b(c) + 4*y(c). Let d(s) = 2. Let f(l) = l - 6. Let x(w) = -6*d(w) - 2*f(w). Give x(g(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 4*y = 7*q, -4*y = 2*q. Suppose q = -3*m - 5*u + 1788, 2*m - 1055 = -2*u + 137. List the prime factors of m.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.262901134 to four dps.\nAnswer: 0.2629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -120 + 479\/4. What is the nearest to -2\/7 in -4, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -3113687, -6227381, -9341075, -12454769, -15568463?\n\"Answer: -3113694*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -0.5, 23, 0.4, -0.4, -3\/8, -2643, -3?\nAnswer: -2643","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 + 190\/(-18) + -76 + 79. Is -7 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -3, 0, 12\/31, -1\/4, -508.2?\nAnswer: -508.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -9\/8396780 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -88*-10\nAnswer: 880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4619*c - 19041 = -15340 + 19772 + 27336 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -230, -254, -264, -254, -218, -150, -44?\n\"Answer: t**3 + t**2 - 34*t - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 429*b - 4. Let y be a(-2). Let u = y + 3473\/4. Find the common denominator of -46\/5 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33*v - 3972 - 21*v - 14*v + 2008 + 1964.\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -d**4\/3 - 21*d**3 - 486*d**2 - 4860*d - 17496.\nAnswer: -(d + 9)*(d + 18)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.25 and 364?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = -0*x - 2*x. Let y = 37 - x. What are the prime factors of y?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.4, 0.006, 5, 2\/15, 20, 1\/3, 3\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 2*i + c - 74, -3*i = 5*c - 121. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 0 + 2*h**3 - h**2 + 4 - 3*h**3. Suppose 0 = -6*y - 8 + 32. Suppose k + 4*d = 6*d + y, 3*k - 2 = d. Calculate r(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -0.5 (b) 2075 (c) 13 (d) 0.5 (e) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = -5*x + 15. Suppose -5*q = -x, 3*n + n = -5*q + 117. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 2*g**2 + 5 + (21 - 49 + 13)*(15*g**2 - 30*g - 18*g**2 - 13*g) to the form o*g**2 + k*g + u and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**2 + 13*v + 2. Let h = -47 - -57. List the prime factors of s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 5*y, 0 = -3*k + 4*y - 3 - 3. Let s = -1.08 + 0.08. Which is the second smallest value? (a) k (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 2*d = 0. Let g be 83 + -29 - (3 - 1). Let o(q) = -5*q - 53*q**3 + g*q**3 + q**2 - 1 + 6*q. Calculate o(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, k: 2, z: 2, u: 4, g: 1, s: 7}. What is prob of sequence cz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (11190\/4476)\/((-15)\/(-7))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 14 - -6570180\nAnswer: 6570194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand -q**4 + q**4 - 2*q**4 + 3*q**4 - q**4 - q**4 + (q**3 - 2*q**4 - q**3)*(-1 + 0 + 0).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -110*s**2*x**4 - 7*s**2 - s*x**2 - 2*s*x - 6*x wrt x?\nAnswer: -1320*s**2*x**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 150 - (145 + -89) - 13?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.36 - -50.36. Let i = 50.049 - p. Let o = 0.0424 - i. What is o rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.482296l to millilitres.\nAnswer: 9482.296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -202, -1593, -5334, -12601, -24570, -42417, -67318?\nAnswer: -100449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 669431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 918 - 1640. Let q = -3621\/5 - d. Calculate the common denominator of q and -77\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17354549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 4*b + 20 = 6, 3*s = 2*b for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 13523 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/(-14)*70\/(-20). Let t(f) = -12 + 23 - 14 + l*f. Calculate t(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -419a87 (base 11) in base 9?\nAnswer: -1233880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1105 + -1049. Suppose -50*u = -w*u + 90. Solve 0*q + 5*i = -3*q + u, 0 = 4*i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 17, -11 in descending order.\nAnswer: 17, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -73 - -144. Suppose -69*h = -k*h + 10. Solve -h*u + 40 = -5*c, -2*c = u - 7*c - 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:26 PM and 7:17 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11026 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 0 = g - 7, 2*x + 11 = 5*g. Let r be (1\/10)\/(g\/(-6)). Suppose -5*c = -15, -6*t + 2*t - 5*c = -15. Which is smaller: t or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 162 and 864.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 395895861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10906 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 4*f)*(-3*f**2 - 2*f**2 + 4*f**2)*(4*f - 102*f - 28*f).\nAnswer: -504*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f**4 - 1465*f**3 - 27800*f**2 - 136500*f = 0. Calculate f.\nAnswer: -273, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 1)*(269*n**3 - 5680*n**2 + 5680*n**2).\nAnswer: -269*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 101, -0.045, 2.\nAnswer: -2, -0.045, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 67 (c) 1\/12 (d) 11\/4 (e) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 532691\/(770\/330 + (-8)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from {l: 9, y: 2, m: 2}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1.1*-494\nAnswer: -543.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/20)\/(1225\/(-26460))\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1654054256?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-126)\/35*20\/(-6). Let o(s) = s - 5. Does 2 divide o(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x = -2*l + 35, 0 = -l - 0*x - 3*x - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 442 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -363 + -542266?\nAnswer: -542662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -2*z - 16. Let r be j(-11). Let q = r + -2. Let d(i) = i**2 - i + 5. What is the remainder when 65 is divided by d(q)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - -2. Suppose -17 = -r*z - 2, 0 = -5*c - 3*z - 75. Let i = 100 + c. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -281, -3\/11, -0.5, -2\/5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 19994, -0.5, -0.16, -4, -0.2 in increasing order.\nAnswer: -4, -0.5, -0.2, -0.16, 19994","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d + l = -11, -297*d - 3*l - 43 = -301*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes before 11:35 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -q**4\/4 - 2*q**3 - 2*q**2 - q - 8. Calculate o(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 109573200 a multiple of 526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 244 = -276. Suppose 2*p - 5*w = 119, 4*w = -p - 12 + x. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 5:59 PM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -160, -201, -284, -421, -624, -905, -1276, -1749?\nAnswer: -2336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16441393?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((893\/38)\/(-47))\/(((-308)\/32)\/(-7)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 4056*o**2 - 5 + 954*o**2 - 9 + 14 as t*o**2 + s*o + a and give t.\nAnswer: 5010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - q + 670 = 2*h, -6 = 2*q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -159271, -159273, -159277, -159283?\nAnswer: -159291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 946337408 - 644013255. Let b = n + -302324512.999538. Let h = -360 - b. Round h to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 - 6*s**2 + 8*s - 10. Let f be g(5). Suppose -2*w + f*q = 5, 3*w + 3*q - 15 = 30. Solve 4*d + 17 = -z, -w = 5*z + d - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 5, e: 2, o: 1, w: 2, m: 8}. What is prob of sequence oew?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 375482 (base 12) in base 10?\nAnswer: 900962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) 2\/3 (c) -5.4 (d) -19\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6 = -2*j. Find the common denominator of 2 + -1 - 303\/6 and -139*(-1)\/j - 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 13 - 11. Suppose -k*l + 80 = -36. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -163\/150 and -44\/25.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 125 + -125.1. Sort 3, -1\/6, y, -2\/3 in decreasing order.\nAnswer: 3, y, -1\/6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 441 and 1019907.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 744.207691 to 1 dp.\nAnswer: 744.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19939431?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-32)\/((-1344)\/(-819))*(-2)\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290088 is divided by 694.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96 = 10*d - 274. Let n = d - 110\/3. Which is the third smallest value? (a) -0.7 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-252)\/(-153153)*-11)\/(2\/(-17))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 34*h + 33*h + 10 = 0, 0 = -5*h - 20 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -5390, -5389, -5388?\nAnswer: -5387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 183 = -133. What is the remainder when m is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.5 in 0.4, -2, 0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -113794500 rounded to the nearest one million?\nAnswer: -114000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*t**3 + 2*t**3 + 0*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28 = -2*c - 0*c. What is the remainder when (66\/(-4))\/((-1)\/(10\/3)) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k. Let p(h) = -2*h**2 - 35. Let d(i) = 3*i**2 + 36. Let l(c) = 5*d(c) + 6*p(c). What is l(u(y))?\nAnswer: 3*y**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/306 and 61\/414.\nAnswer: 7038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -2159*s**4\/12 + 35*s**3 - 1369*s. What is the second derivative of n(k) wrt k?\nAnswer: -4318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o = 3*f + 15, -4*f + o = 6*o + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -134 - -167.7. Round y to 0 dps.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i + 3*i + 64. Suppose i = j + g, 2*j - g + 6*g - 73 = 0. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 - ((-8 - -3) + -3). What is the third derivative of 10*x**5 + 10*x**2 + 2*x**z + x**2 - x**5 wrt x?\nAnswer: 660*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2643618, 13, 1\/4 in increasing order.\nAnswer: 1\/2643618, 1\/4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2*t**2 - 26*t + 13. Give w(10).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 4*k + 18 = -8, 0 = 4*w + k - 13. Suppose -6*c + 9 = -3*c. What is the units digit of w + c\/(9\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -t**3 - 3*t**2. Suppose 0 = -4*d - 3*j - 79, -3*j + 11 = 5*d + 109. Let p be (-4 - -1)*d\/(-19). Calculate z(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 5*i = -5, -4*r - 3*i = -3*r + 1. Suppose 0*m - 4*m - 79 = -v, -3*v + r*m + 217 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -z**3 + 4*z + 3. Let w be u(-3). Let q = -16 + w. Solve -4*g = 5*m + 13, 10 = -0*g - 4*g - q*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20407.\nAnswer: 20407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 8.188 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -155876811, -623507275, -1402891375, -2494029105, -3896920459, -5611565431?\n\"Answer: n**3 - 155876824*n**2 + n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 383 divided by -5\nAnswer: -383\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from xsmmsmmmmogmspsm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: ((-615)\/3690)\/((-5)\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:44 PM and 9:42 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + l)*(-633*l - 1623*l - 3217*l) as i + g*l + n*l**2 and give n.\nAnswer: -5473","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3918491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xtx when three letters picked without replacement from sxoosooxoot?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 404 = -10*m - 311 - 1035. Let n(c) = -900*c**3 + 175*c**2 - 175. Let i(t) = 31*t**3 - 6*t**2 + 6. Calculate m*i(v) - 6*n(v).\nAnswer: -25*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 217154870 and 10550?\nAnswer: 2110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1781151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 13733 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 372 minutes after 7:32 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 9739060 to the nearest integer?\nAnswer: 3121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-25)\/10*8\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 60706 (base 8) to base 10.\nAnswer: 25030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/10 - (-47)\/((-3055)\/117). Which is the third smallest value? (a) 4 (b) 2\/9 (c) -2 (d) r (e) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 - 11*k**2 + 26*k - 16. Let v be c(11). Is 8\/60 + (-6)\/(v\/(-630399)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -a**2 - a**2 - 73*a**3 + a + 74*a**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 + 7*g - 5. Let y be v(-6). Let m = y - -15. Suppose -1757 = -3*x + m*i, -4*x + i + 2*i = -2338. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide (-17)\/(-51) - 3984\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10742 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -3331030311 (base 4) in base 15?\nAnswer: -157459","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -5*n - 960, -7*a + 546 = -3*n - 10*a. Let j = 417 - n. What are the prime factors of j?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of -4*f**2 + 0*f**5 + 0 + 0*f**4 + 5\/6*f**3 + 0*f + 1\/60*f**6. Differentiate b(w) wrt w.\nAnswer: 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -586 divided by -5\nAnswer: 586\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 22203939 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: Is 4910139271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sum -20408 and 0.0410522.\nAnswer: -20407.9589478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y**(1\/2))**(1\/68))**(-2\/17))**(-2\/71) assuming y is positive.\nAnswer: y**(1\/41038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3568, 0.3, -0.2, -6\/757?\nAnswer: -6\/757","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 244*g**2 - 37*g**2 - 337*g + 0*g**4 + g**4 + 472*g - 47*g**3 - 2*g**4 - 918 = 0.\nAnswer: -51, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 884.037 times 0.6\nAnswer: 530.4222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*q = -19*q + 683664. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1270096654?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11347 to the power of 1\/2, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 467026*l**2 - 63408?\nAnswer: 934052*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -44784706 divided by -194?\nAnswer: 230849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + u + 9 = 4*f, 3*u = 0. Suppose -2*k = 1 - f. Sort k, -2, 5 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - 3 - (-60 - (30 + -83)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3835894.\nAnswer: 2, 23, 83389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -40741a61 + -5?\nAnswer: -40741a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -77236 times -0.4?\nAnswer: 30894.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -11 (b) -0.168791 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -7*s + 7*s - 219*s**2 + 117*s**2 - 3*s**3 + 4*s**3 + 1 in the form g + a*s**2 + v*s + y*s**3 and give a.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*m + 4*t - t + 54, -3*t = -4*m + 102. Calculate the remainder when m is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5523087929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 2434*j**2 + 2440*j**2 - 3 + 10*j to the form a*j**2 + o + i*j and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 91 minutes before 6:24 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -30*k + 25*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*6*(sqrt(130)\/(2*sqrt(40)) + (2 + sqrt(117) + -2)**2).\nAnswer: -702 - 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 3*a**2 - 60*a. Let b(c) = 9*c - 4806. Calculate m(b(x)).\nAnswer: 243*x**2 - 260064*x + 69581268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 0.5 (c) 17 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -1 + 56 + 3 + 1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 584733 + -536784743\/918. What is the common denominator of -71\/510 and z?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 277708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 139430387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that 3*g**5 + 1755*g**4 + 269514*g**3 + 3763002*g**2 + 15435315*g + 11940075 = 0.\nAnswer: -285, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -15667, -31337, -47007, -62677?\n\"Answer: -15670*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:11 PM and 7:32 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + -4630447?\nAnswer: -4630454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -z**3 - 4*z**2 + 8. Let w be k(-4). Let c be (-3 - 1)\/w - -1. Let -1\/2*l**3 + 0 + 1\/2*l**4 - c*l**2 + 1\/2*l = 0. Calculate l.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 4*a**3 + 3*a**2 + 3*a - 1. Let n(p) = 9*p**3 + 6*p**2 + 7*p - 3. Let g(f) = -2*n(f) + 5*v(f). Give g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = n**2 + 15*n + 15. What is q(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -171 - -185. Suppose -3*a + 72 = 2*s + 2*s, 2*s = 4*a + 14. Do s and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 115.2 - -18.8. Let r = 134.000079 - z. Round r to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -23, -86, -197, -362, -587, -878?\n\"Answer: -s**3 - 18*s**2 - 2*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -2*g**2 + 44*g - 180. Let n be d(16). What is the greatest common factor of 480 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:04 AM and 12:45 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 - 12*l**2 + 21*l + 255. Let o be a(-12). Let f(h) = -h**2 + 2*h + 2. Let b(i) = -i**2 + i + 2. Let v(r) = 5*b(r) - 4*f(r). Determine v(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/(-9) + 60\/135?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 114*u + 358. Calculate d(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -167, -303, -441, -581, -723?\n\"Answer: -d**2 - 133*d - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 33\/13029127 and 55\/42188.\nAnswer: 2762174924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1018 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -173 + 189. Let q = -1240 + 1245. Solve -c + i = -q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -166261*q**4 + q**3 - 805171*q**2.\nAnswer: -3990264*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 13286489357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1 - 1)*5\/(-10). Suppose y = -2*q + 2 - p, 4*y - 4 = 5*q. Let w = -4 - -6. Is w at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) -26 (c) -3 (d) -0.037 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x - 101*i = -106*i + 50, 27 = 4*x + i for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of 0*i**4 - 3 + 0*i - 5\/3*i**3 + 0*i**2 - 1\/5*i**5. Find the third derivative of d(x) wrt x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 72\/172643 or 0?\nAnswer: 72\/172643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7a03 + -8?\nAnswer: 79a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 32*j**3 + 3*j**2 + 2*j - 5. Let h = 78 - 75. Is r(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 4*r**2 - 22*r - 15. Let b(x) = x**2 - 7*x - 4. Let c(n) = 7*b(n) - 2*h(n). Let i = 4 + -8. What is the units digit of c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2 + 0 - 3*j + 4*j. Let g be v(5). Suppose 2*f + 52 = -5*b + 263, 0 = -g*f - 3*b + 330. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -5*f - 4*a + 66, -f = -2*a - 6. Suppose -16*y + 2*y = -1358. What is the remainder when y is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -260128, -520273, -780418, -1040563, -1300708, -1560853?\n\"Answer: -260145*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-9)*784\/294)\/((-1)\/(-9)*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-650)\/(-1040))\/(10\/8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-25)\/(-7) + (-6)\/(-14). What is the second biggest value in 0.1, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 5:53 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1177 is divided by 197?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 34 - 25. What is the remainder when 26 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8043609.\nAnswer: 3, 7, 383029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -463.288*8.3.\nAnswer: -3845.2904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 5*c - 23. Let n = c - 7. Solve n = k + k - 4*d, -2*k + 3*d + 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 0, -13597, 1, 371, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -319, -575, -761, -877, -923, -899, -805?\nAnswer: -641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the third derivative of -v**5\/10 + 245*v**4\/24 - 893*v**3\/2 - 2*v**2 + 1644. What is the first derivative of i(d) wrt d?\nAnswer: -12*d + 245","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -d**2*l*w - 2*d**2*w**3 - 12*d**2*w + 472785373*d*l**3*w**3 + 2*d*l**3*w + 1419346*d*l**2*w**2 wrt w?\nAnswer: -12*d**2 + 2836712238*d*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 15 + -13 - (-36617 + 2\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1100000*(10\/(-30))\/((-3)\/(-27)). What is v rounded to the nearest one hundred thousand?\nAnswer: -3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4313131311 (base 5) in base 14?\nAnswer: -12d38d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10505*v**2 + 9660 + 56*v**3 - 10503*v**2 + 15*v**3 - 9660.\nAnswer: 71*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 343 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 23737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 17 (base 9) to base 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 725997 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 2*m**3 + 9*m**2 - 10*m + 1. Calculate the remainder when 77 is divided by g(-5).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 8 - 32 = 0. Suppose -15*b + a*b = 205. What is the remainder when b is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 7 = 4. What is the second derivative of 3*v**q - 2*v - 3*v**3 + 2*v**3 + v**3 wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.5, -9, 0.112, 4.9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 113014823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 6*n**3 - 4 + 0*n**2 - n**3 + 0*n**2 + (-4*n + 2*n + 3*n)*(0*n**2 - 4*n**2 + 2*n**2) in the form i + a*n + f*n**2 + r*n**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 192 - 1032 = 120*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*z**2 + 555*z - 555*z - 6*z**2 + 17*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55074509 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 32733 and 72.\nAnswer: 261864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -925, -937, -763, -397, 167?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6580*h**2*z**3 + 16*h**2*z + 14964*h*z**3 + 9*z**3 wrt h.\nAnswer: 13160*z**3 + 32*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1427 - 1422. Let s(h) be the second derivative of 0 - p*h**2 + 17*h + 1\/6*h**3. Give s(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 63 = -3*y - 6, 0 = 2*y + o - 39. Let a = y + -18. Does -2\/327 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the first derivative of -1875*b + 103 + 2295*b**2 + b**3 - b**3 - b**3 - 2370*b**2. Suppose d(f) = 0. What is f?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6327*f - 6051*f + 1656 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 8528.01 rounded to the nearest one hundred?\nAnswer: 8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -112?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-7)\/(-1722)*((-7677)\/14)\/(-3). Let p = -2\/287 - c. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**2 + 13*l + 17. Let f(k) be the second derivative of k**5\/20 - 4*k**4\/3 - 13*k**3\/6 - 27*k**2 + 44*k. Let q be f(17). What is g(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 5746, -2\/7, 2, -3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 207 and 224552151?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 2 - 4)*(f + 4*f - 4*f) + 10 - 4*f - 10 + (243 - 1 - 118)*(2 + f - 2) + 2 - f - 2 to s*f + c and give s.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 791 = -3*c, 2*f - 4*c - 607 - 975 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 350, 395, 498, 683, 974, 1395, 1970?\n\"Answer: 4*g**3 + 5*g**2 + 2*g + 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 8 = 19. What is the remainder when 25 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - o + 1)*((-1 - 2 + 0)*(6*o + 5*o - 5*o) + (-2 + 3 + 0)*(-5*o + 4 - 4)) as x*o**2 + a + j*o and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 286 in 0.1, 6, 1\/3, 2\/9, 3, 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 0.5, 0.076, 1\/3 in descending order.\nAnswer: 0.5, 1\/3, 0.076","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -70 by 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w = -970 + 3425. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(-2)*n*n**(-5)*n)\/(n*n*n**(-2))**(-1)*(n**(-1)\/n)**(3\/14)\/(n\/n**(-1)*n*n*n*n*n)**18 assuming n is positive.\nAnswer: n**(-885\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-3))\/(2 - (-58)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.2 and -0.0956?\nAnswer: 0.11472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 432 a factor of 350062992?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(675)*-1 + sqrt(675))*-5)\/((sqrt(81) - -2*sqrt(81))\/sqrt(9) - ((-3*sqrt(72))\/sqrt(8) + sqrt(9))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**3 + 41*h**2 - 11*h - 205. What is w(-21)?\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(1\/4))**(37\/3)\/(h**(1\/5)\/(h\/(h*(h\/((h**(2\/3)\/h)\/h))\/h))))**26 assuming h is positive.\nAnswer: h**(403\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 5*p + 104 = 4*t, t = 5*p + 52. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 175 = -199. Let u be k\/(-16) + (4 - (-230)\/(-80)). What is the nearest to 0 in 0.06, u, -5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v + 12 = q - 4*q, -5*q - 2 = -4*v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -205*b**3*j**2 - b**3*j - 20*b**3 - 4*b**2*j**3 - 2*b**2 + 12*b*j**3 + 35101*j wrt j?\nAnswer: -410*b**3 - 24*b**2*j + 72*b*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -706590 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:43 AM and 3:38 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.977 + -0.78?\nAnswer: 0.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put together 13640860.12 and -48.\nAnswer: 13640812.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/3 less than 13915.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.2 * -15808\nAnswer: -3161.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of r**5 - 55*r**4\/4 + 200*r**3\/3 - 120*r**2 + 246. Factor f(t).\nAnswer: 5*t*(t - 4)**2*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 38021.956 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*(g*g*g\/((g\/g**1)\/g*g))\/g*g)\/g**4)**(-50) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 291 and 32883.\nAnswer: 32883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -w - y = -6*y + 10, -4*y + 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 PM and 10:04 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 10, -73, -278, -671, -1318, -2285, -3638?\n\"Answer: -11*z**3 + 5*z**2 - 21*z + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 12\/(3 + 99\/(-30)). Let g = z + 57. Calculate the remainder when g is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1380686 divided by 5039.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 389658517 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**2 + 3*z + 1. Let b be g(2). Let v be (-3)\/((-45)\/10) - -1. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 25334544 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -32\/3 - -11. Let n = -0.18 + -0.02. Put n, z, 5 in descending order.\nAnswer: 5, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2952 is divided by 455?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -10*d + 56. Let i(f) = 11*f - 55. Let c(g) = 5*i(g) + 6*p(g). Is 13 a factor of c(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - 66. Let b = t + 72. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10594096?\nAnswer: 2, 19, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = -549 - -1294. Suppose 737 = y - s, y - o = -21*s + 26*s. Is 35 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 351 (base 6) to base 14\nAnswer: 9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 110*l + 5 = -105*l, 0 = -a + l - 1. Put a, 4, 16, 1 in decreasing order.\nAnswer: 16, 4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 207598 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 37114 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(209) + -2*sqrt(209))*-1 - sqrt(209)))\/((3*sqrt(88)*1)\/sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-7)*z**(-2\/19)\/z*(z\/z**(-1\/3))**(11\/5))**(39\/5) assuming z is positive.\nAnswer: z**(-19162\/475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 287 by 7426.\nAnswer: 287\/7426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = 4*o - 2*o. Let u = o - 13. Suppose 2*n - 5*r = 7, -5*r - 3 - u = -4*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = -2*r - 16. Let f(g) = 4*g**2 + 3*g + 4. Let y(q) = 5 - 5 + 11*q**2 + 8*q + 11. Let c(w) = r*f(w) + 3*y(w). Differentiate c(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1199.07 + -1199. What is the closest to -1 in -2\/5, 2, g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 96 (b) 0.4 (c) 10\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -165982\/91 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Do -82112\/5 and -16422 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w**2 + 14*w - 6. Let t(v) = 3*v**2 + 15*v - 7. Determine 4*k(i) - 3*t(i).\nAnswer: -i**2 + 11*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*p**2 + 20*p**5 - 6*p**5 - 5*p**2 - 7*p**2 wrt p.\nAnswer: 840*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 2*x = -0*x - 20, 0 = 5*x + 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -81, -189, -311, -453, -621, -821, -1059, -1341?\n\"Answer: -f**3 - f**2 - 98*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = -2*n + 13. Let z be f(7). Let g(w) = w**2 - 4*w. Let l be g(4). Let j be z + l\/(6\/(-2)). Is j smaller than -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c\/(c\/(c*c**(2\/13))*c*c)))\/c**0*(c**(1\/3))**32 assuming c is positive.\nAnswer: c**(488\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 8*s**4 - 28*s**2 - 72*s + 26. Let b(g) = 23*g**4 - 85*g**2 - 204*g + 79. Let p(w) = -6*b(w) + 17*k(w). Find x, given that p(x) = 0.\nAnswer: -4, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 45*q - 2*q**4 - 2 - 23366*q**2 + 23367*q**2 + 6*q to f*q + x*q**2 + l*q**3 + w*q**4 + m and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*u**3 + 789 + 783 - 1572.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -68631 divided by -195\nAnswer: 22877\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 1353031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/7, 2, -1\/3, -0.2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 104646?\nAnswer: 2, 3, 107, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21101 + 202102?\nAnswer: 111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hrgzy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a - 9. Let i be k(16). Let n(r) = i - 2 - 5 - 3*r**2. Let b(o) = 4*o**2. Calculate n(b(l)).\nAnswer: -48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-11)\/33*6\/5. Let l = 21.047 + -0.047. Let o = 20 - l. What is the nearest to o in -11, s, 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in -69, 3\/4, 12?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -89, 49, 185, 319, 451, 581?\n\"Answer: -r**2 + 141*r - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/3, 1, 1\/7, 13161, -4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3 divided by -486\nAnswer: -1\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 450 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the third derivative of 4 + 0*l**3 + 0*l**4 + 0*l + 1\/60*l**5 + 8*l**2. Let c(v) = 6*v. What is c(n(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-34 - -6 - 5 - -7) + 6?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -2155 divided by 431\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, w: 7, n: 1, o: 2, u: 4, a: 1}. What is prob of picking 3 u?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1701 and 209358?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - 2 - (-24 + (-11 - -40)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14 - -16. Let d(i) = -6*i - 14 + i**3 + 22 - 9*i**r + 17. What are the prime factors of d(10)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 49795, 49797, 49799, 49801, 49803, 49805?\n\"Answer: 2*z + 49793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 91\/4 - 22. Let g = 163 - 285. Let s = 130 + g. Which is the nearest to -1? (a) -3\/5 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (24\/(-9))\/(28\/(-315)). Suppose 245 + v = 55*l. Solve -10 = -4*o + c, l*c = 4*o + o - 20 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*o + 15. Suppose -3*n + p + o*p = -74, -5*n + 135 = 5*p. List the prime factors of n.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -46.953 to 1 decimal place.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2\/13, -2, 12, 38\/35, -8.4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 206 (b) -0.74 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 4) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**2 + 814. Let w(v) = -3577*v. What is w(r(m))?\nAnswer: -3577*m**2 - 2911678","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -3*t - 58. Solve -5*r = t - 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.7 + 0.3. Let l = 5 - 5.1. Sort y, l, 0.08 in decreasing order.\nAnswer: y, 0.08, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - 1. Suppose -3*x - b*x + 20 = 0. Solve x*p + 2*i - 10 = 0, -24 = -3*p - 5*i + 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -828 + 11611\/14. Let a(f) = f**2 - 7. Let l be a(-5). Calculate the common denominator of h and (4\/l)\/(4\/249).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the third derivative of -k**5\/60 - 23*k**4\/24 - k**3\/2 - 5*k**2. Let l be p(-23). Which is the fourth smallest value? (a) -13 (b) -4 (c) 5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 361775.73 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 105, 201, 361, 585, 873, 1225?\n\"Answer: 32*m**2 + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y + 9 = 4*y. Let o = y - 6. What is o rounded to 0 dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1009\/2 + 504. Which is the closest to -2? (a) 2 (b) 0 (c) z (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -23 (base 7) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 24627763 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*m + 128 = -12*m + 9*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 3*x - 1 + 0*x)*((-2 + 3 + 1)*(x - 3 + 3) + 16*x - 3*x - 6*x).\nAnswer: 9*x**2 - 9*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -190*a*d**3 - a*d - 84*d**2 wrt d.\nAnswer: -1140*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve q = 3*o + 4, 4*o = -q - 7 - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, -710, -2\/207 in decreasing order.\nAnswer: 0.4, -2\/207, -710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/30)\/(62\/(-310)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*d - 2*d. What is the units digit of (-30)\/45 + 154\/d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -510*r - 1655*r**3 - 7198*r**3 + 258*r + 252*r.\nAnswer: -8853*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12435, 25036, 37629, 50214, 62791, 75360?\nAnswer: 87921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mvm when three letters picked without replacement from qmmvmmvvwvqnvqgvnmn.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 461463 is divided by 1479?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 123 + 33 = 0. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 2, y: 8, r: 3, z: 6}. Give prob of sequence yy.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = s**3 - 4*s**2 - 9*s - 15. Let a be p(6). Solve -a*c + c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2969\/14 - -1180\/7. Let k = z - -42. Which is the second biggest value? (a) 2 (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 261 and 7312553.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = -d + 5*a - 3, 2*d + 5*a + 5 = 0. Suppose 3*c - 54 = -d*j, c + 4*c = -5*j + 80. Which is bigger: c or 12?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 10*x**4 - 103*x**3 + 147*x**2 + x - 33732437?\nAnswer: 40*x**3 - 309*x**2 + 294*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (113 - 123 + 105)*(d + 2*d + 0*d)*(8 - 4 - 1) - 3*d + 5*d - 3*d to m*d + t and give m.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.027418967722 - 59.227418189722. Let k = w - -59.2. What is k rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 + 48. Calculate the remainder when z is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = 3 + 1. Let l(z) = z + 2. Let t be l(-1). Is h >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 927?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 1453*s**2 - 5 + 3.\nAnswer: -1453*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = -12, -5*z + 41 = 4*b - 2*b. Suppose 4*t - q = -z - 2, -2*q - 18 = 4*t. Let n(p) = -p - 6. Determine n(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -381*m - 27*m**2 + 3*m**2 + 381*m. Let d(t) = 2*t**2. Determine l(d(n)).\nAnswer: -96*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + 0. Let u(n) = 9 + 3*n - 2 - t*n. Let h be u(-5). Solve -o = -3*j + 9, -h*j - 5*o + 23 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4681*n - 110 = 4691*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 9118890 by 330.\nAnswer: 27633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -130 - 1?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 53498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 2*r. Let d(w) be the first derivative of 640*w**2 + 2093. Give q(d(o)).\nAnswer: 2560*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Determine v, given that -29729712*v**2 - 396648*v - 1323 = 0.\nAnswer: -21\/3148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -3*z + 13. Let b(s) = s - 13. Let l(y) = 3*b(y) + 2*u(y). Let f(o) = -o**2 + 6*o + 10. Let x be f(8). Let q be l(x). Solve -v + 2*v = q for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 386?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is -79 less than or equal to -77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9 + 2*w - 4 + 10 to z*w + p and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/19 (b) -0.23 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 6861 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12286 and 290.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 359775, 359829, 359883?\n\"Answer: 54*x + 359721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -351, -637, -913, -1173, -1411, -1621, -1797, -1933?\n\"Answer: s**3 - s**2 - 290*s - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7742 - -7742.00019079. What is c rounded to six dps?\nAnswer: 0.000191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-117)\/195*2\/6*8?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 125*v + 1248 + 1886 - 634 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-14)*(-203)\/174?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -153*y + 117. Give u(5).\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 18661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.153 (b) -3 (c) -3\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -156 divided by -327.\nAnswer: 52\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -31337*p - 59. Let x be b(-7). Round x to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3602 - -3602.4. What is the fourth smallest value in -5, 5, m, 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 - 10. Let t(r) = -2 - 1 + 3*r**2 + r**2 + r**n + 0*r**2 + 2*r. Calculate t(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 5, c: 3, b: 1}. Give prob of sequence bc.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 130, 147, 174, 211?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -588*w - 29184 = -2412*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -275*c - 44 = -258 + 2139 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 0 + 0 - u. Let g(v) = 5 - 1411*v - 1501*v + 0 + 2899*v. Calculate m(g(k)).\nAnswer: 13*k - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.2 (b) 0.089 (c) 0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d**2 - d. Let n be l(-1). Suppose -4*w + 31 = w + 3*f, -7 = -2*w - n*f. Suppose -21*z + 17*z - w = 0. Let p(r) = -3*r**2 + 3*r + 2. Determine p(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*q - 109984 = 429530. List the prime factors of q.\nAnswer: 3, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 30? (a) -1\/6 (b) -7 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) be the second derivative of 13*i**3\/6 + 7*i**2\/2 + i - 3. Does 49 divide b(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (a - a + a)*(-6*a**2 + 5*a**2 + 2*a**2 + (-2*a + 4*a + 0*a)*(-a - 3*a + 3*a)).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 382 + -398 + (29 - 2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/963 and ((-12)\/14)\/(4*23\/(-5313)).\nAnswer: 1926","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -154548, -5 in descending order.\nAnswer: 1, -5, -154548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49 + -99. Let b = 205 + d. Let k = b + -81. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4481*k**3 + 410*k**2 - 410*k**2.\nAnswer: 4481*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3197 + 3200. Solve -2*w - 21 = -5*l, 4*l - w = r*l + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18655 + 18657. Solve a*g = -474 + 482 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = 6, 2*t + 3 = -5*c - 3. Let z be t - 0*3\/6. Solve -z*w + 4 - 2 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16)\/6*3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -112 divided by 135175.\nAnswer: -112\/135175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1255 and 275175065.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 3*y = -0*q + 71, 2*y + 6 = 0. Suppose 5*n - q = 49. Let b = 24 - n. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 75 and 17865.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00004571 rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -368*a + 0*a + 2572 = -4420 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/9, -0.2, -1691, 1\/2 in increasing order.\nAnswer: -1691, -0.2, 4\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*m - 483 = 56*m. Let u(z) = z**2 + 10*z + 18. Give u(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -5, 3, 80, -1 in descending order.\nAnswer: 80, 3, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4.883? (a) -0.3 (b) 0.11 (c) 1 (d) -1\/13 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.04109 + 2.95891. What is the nearest to 1 in -0.04, -2, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4421.8 - 4422. What is the closest to 11 in 5, -4\/125, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**2 - 3*y + 1. Let x(a) = a**2 + 4*a - 1. Let u(d) = -4*x(d) - 5*z(d). Let m be u(2). Is 22\/m + (1 - 1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2, 6, -7, -9, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the first derivative of -w**4\/6 + 172*w**3\/9 - 1053. Factor h(a).\nAnswer: -2*a**2*(a - 86)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 4\/3 of a day?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 578 - 558. Which is the nearest to -1? (a) -3 (b) 0.4 (c) -2\/13 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - f = -3, 2*f + 16 = -5*i + 1. Let x = i - -5. Let v(t) be the third derivative of t**5\/60 - t**4\/12 + t**3\/2 + 4*t**2. Determine v(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 5*o = 10*o + 204 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nssnnnsnnnnnnn. What is prob of sequence sns?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**2 - 6*a + 3. Suppose -o = -2*o + 2. Suppose -o*w + 18 = w. Give r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11.3 - 3.3. Let h = -5 - -6. What is the smallest value in -3\/4, h, f?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7 and 684579.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 21 = 4*v + l, -3*v + 4*l - 6*l = -17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1667, 1666, 1665, 1664, 1663?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(13) + sqrt(117))*1 + (sqrt(13) - (2*sqrt(1872))**2 - (2*sqrt(13) - sqrt(13))**2*6).\nAnswer: -7569 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00137931394 to five dps.\nAnswer: -0.00138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 818, 1637, 2466, 3311, 4178, 5073, 6002, 6971?\nAnswer: 7986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13925 + -41777\/3. What is the third biggest value in 10, -0.1, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -405.94 times -0.3\nAnswer: 121.782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 5 + 0 + 5 + (3 + -5*(sqrt(720) + -1*sqrt(720) + 2 - sqrt(720)))**2.\nAnswer: -840*sqrt(5) + 18063","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1570 is divided by 745?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 554 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: Calculate -1057378 divided by 2.\nAnswer: -528689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c be (19584\/(-16640) - (-3)\/5)*6\/(-15). What is the nearest to 0.2 in c, 2, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 959.6065 millilitres in litres?\nAnswer: 0.9596065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3 + -4. Let g be (-1 + 111\/4)*(4 + 0). Suppose -4*f - 127 + g = 0. Sort q, 2, f.\nAnswer: f, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 * -7649640\nAnswer: 30598560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3708202233 to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 10*r**5 + 268*r**4 - 3634*r**3 + 5876*r**2 + 25608*r - 5328 = 0. Calculate r.\nAnswer: -37, -2, 1\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 348112?\nAnswer: 2, 21757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 748399.3 kilograms to nanograms.\nAnswer: 748399300000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (39\/(-4))\/((-96)\/(-256)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.06 - 0.36. Let q = 4.07 - -0.93. Let w = 0.4 - 0.3. What is the closest to z in q, w, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 12:37 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -921*u + 931*u = 60540. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1455983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/(-6) + (-27)\/81?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*w + 20, -218*b - 24 = -214*b - 3*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 22317*n**3 - 6196*n**2 wrt n?\nAnswer: 133902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -0.3, 0.2, -2\/7, 2\/353, -3\/16 in ascending order.\nAnswer: -0.3, -2\/7, -3\/16, 2\/353, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n - 2. Let k be i(-4). Suppose k*u = 5*u + 20. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60, 285, 788, 1707, 3180, 5345, 8340?\nAnswer: 12303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -1 (b) 0.19 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(6\/(-8))*3. Suppose z*n + 109 = 3*r, n + 7 = 2*r - 14. Find the common denominator of n and -1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 29490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4995549 is divided by 2523?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1633782 * 5\nAnswer: -8168910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 32674699523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -0.8, 67, 0.1, -4, -3\/2, 4 in decreasing order.\nAnswer: 67, 4, 0.1, -0.8, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*f**4 - 15*f**3 + 5*f + 7033 wrt f.\nAnswer: -16*f**3 - 45*f**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -22*o**3 - 34*o - 34. Let g(z) be the third derivative of z**6\/60 + z**4\/8 + z**3\/2 - 2*z**2. Determine 68*g(u) + 6*i(u).\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1496016 and 288?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 967, -2\/55, -1\/7?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1435363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 111 - 3001?\nAnswer: -2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 60529 divided by -119?\nAnswer: -8647\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) be the second derivative of -3*q**5\/20 + 5*q**4\/4 + 24*q**3 - 162*q**2 - 2*q + 107. Suppose a(m) = 0. What is m?\nAnswer: -6, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-five quarters of a micrometer in nanometers?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -770, 2, 941, 0 in decreasing order.\nAnswer: 941, 2, 0, -770","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -326*b - 379*b + 2288 = -601*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 49980, 399864, 1349546, 3198924, 6247896, 10796360, 17144214, 25591356?\n\"Answer: 49983*k**3 + k**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2364.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 - -4)\/(1\/11). Let l = j + -6. What is the lowest common multiple of 4 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*t + 9*t - 218 - 218 + 2*t + 436.\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 5 times -37\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + 3)\/(664\/(-482)) + (-53)\/((-13568)\/(-192))?\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 + -1. Let v(o) = 12 - 4*o**2 + 2*o**2 + o**2. Let b be v(i). What is the highest common factor of b and 96?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*m - 5*m + 276 = 293. Is m smaller than -46\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -18663, -37285, -55797, -74145, -92275, -110133, -127665, -144817?\nAnswer: -161535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**2 + 2*g + 1. Let c(w) = 43*w**2 - 11*w - 5. Let n(m) = -5*b(m) - c(m). Calculate n(-1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1918 - -1900.14. Let i = -0.14 + f. Let v = i + 18. Sort v, -0.3, 4.\nAnswer: -0.3, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + 34 - 1. Suppose -8 = 9*b - o*b. Factor 1\/2*v**b + 27\/2 + 5*v**3 + 27*v + 18*v**2.\nAnswer: (v + 1)*(v + 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-844)\/270 + 4 + 36\/(-45).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4 and -289?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y - 2 - 2. Let i(d) = -3*d**2 + 9*d. Let r(f) = f**3 + 5*f**2 + 3*f + 5. Let z be r(-4). Let h(m) = m**2 - 2*m. Give y*i(v) + z*h(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) be the third derivative of v**5\/30 - v**4\/24 + v**3\/6 - 4*v**2. Let r(l) = 5*l**2 - 3*l + 3. Determine 11*j(k) - 4*r(k).\nAnswer: 2*k**2 + k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 AM and 2:33 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -59*a**3 + a**2 + 2*a + 1. Is x(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35 - 57 - 7 + 27*l + 29.\nAnswer: 27*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 10*l + 28. Let m(s) = 1. Let a(r) = j(r) + 4*m(r). Find the first derivative of a(x) wrt x.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, m: 2}. What is prob of picking 1 p and 2 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -t + 12. What is the units digit of k(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/59 in -1, -25, 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 5*k + 5 = 0, -3*z - 3*k + 19 = -5*k. Suppose -z*u + 5 = -10. Is 53 - u\/((-3)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -0.207?\nAnswer: -0.207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-36)\/7)\/(7\/(-49)). Let y be 6\/16*r\/54. Which is the third smallest value? (a) y (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -102 - -105. Suppose -i = -3*j - 12 + 3, -l*j - 6 = 0. Let f(t) = t**3 - t + 2. Let g be f(1). Solve v + i = -g*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8\/(-14) - 7272\/(-84)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(-2\/5))**(-5\/8) assuming p is positive.\nAnswer: p**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1563 - -1562.8. Put i, -0.4, -1.68 in decreasing order.\nAnswer: i, -0.4, -1.68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -h**4 + 5*h - 5*h + (-h**2 - 3*h**2 + 5*h**2)*(4 - 2*h**2 - 4) - 2*h**4 - 2 + 2 + (6 + 3*h - 6)*(2 - h**3 - 2).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor z**3 + 29*z**2 + 51*z - 81.\nAnswer: (z - 1)*(z + 3)*(z + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = 31 - 29. Let g(z) = 6*z**2 + 4*z + 2. Let x be g(-2). Calculate the greatest common factor of v and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -132561207434 and -11.\nAnswer: -132561207445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1099333.\nAnswer: 41, 26813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sum -3 and -694.\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 0*o + 0*o - 1 - 2*o - 3. Let j(m) = 4*m + 9. Let f(a) = -a**3 - 16*a**2 - 15*a + 5. Let s be f(-15). Suppose 4*y + 7 = s*y. Give y*t(p) + 3*j(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1b + -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 53363 and 158848.\nAnswer: 1241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 316 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2 - 0. Let d be (2 + c - 0) + -2. Let t = d - -2. Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-36)\/8 - -8)*6?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -1\/5 (b) -2 (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t**(5\/6)*t**(2\/9))**(-1\/31)\/((t**(-3)\/t*t**(1\/9))\/(t**0\/t*t*t**6*t*t*t)) assuming t is positive.\nAnswer: t**(793\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14211*m**2*p**3 - 1219466*m**2*p**2 - 36*m*p**3 - 2*m*p**2 wrt p.\nAnswer: -85266*m**2 - 216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (1 - 1) - (-67 - -63).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) be the third derivative of 0*m**7 + 1\/12*m**5 + 0*m**6 - 2*m**2 - 5\/336*m**8 + 0*m + 0*m**4 + 0 + 0*m**3. Find the third derivative of n(v) wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4 - 10*m**3 + 16*m**3 + 6*m - 8*m**3.\nAnswer: -2*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(405)*1*2)**2 - (sqrt(245) + 1 + 2)**2.\nAnswer: -42*sqrt(5) + 1366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 4*r**2 + 20719 + 3*r**3 - 2*r**4 - 20727 - 2*r**2 in the form a*r + b + x*r**2 + w*r**4 + g*r**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.3, -374, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2341306?\nAnswer: 2, 11, 31, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26633525?\nAnswer: 5, 37, 28793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p. Let l(a) be the third derivative of 13*a**4\/6 + a**3\/6 - 29*a**2. Determine l(g(z)).\nAnswer: -104*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6664?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -2*g**3 + 12*g**2 + 6*g - 28. Give f(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -149620382 * 5.\nAnswer: -748101910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -191*a**3 + 3*a**2 + 4. Let b(z) = -571*z**3 + 8*z**2 + 11. Calculate 3*b(s) - 8*p(s).\nAnswer: -185*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 37 - 26. Suppose -2*d + 4*r - 12 = 0, 6*d = 2*d - 5*r - u. Let p(i) = 5*i - 4. Let m(l) = -4*l + 3. What is d*m(y) - 3*p(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*(-2)\/(-4)*(-6)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 + 3)*-141 - 4. Is (-1)\/((-558)\/x - -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7793 + 3665. Let g = 132079\/32 + k. Find the common denominator of 41\/14 and g.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of 3*g**4\/8 + 13*g**3\/6 - 62*g**2. Let m be s(-1). Solve 3*u + 23 = 4*d, u + 5 - m = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 21 - 17 - 3\/(-1 - 2). Solve f*t + 27 - 9 = 4*o, -o - 5*t - 8 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -a - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -5*s + 3. Find u, given that -2*u**5 + 4*u**5 - 2*u + 4*u**s - 4*u**5 + 0*u = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:24 PM and 10:05 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 25 + -27 + 17 + (-3 - -45).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1390302*a**5 + 210186*a wrt a?\nAnswer: -27806040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/2443420 and 29\/50.\nAnswer: 12217100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 70 and 364.14?\nAnswer: 25489.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -63835, -63834, -63833, -63832, -63831, -63830?\nAnswer: -63829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6378677554?\nAnswer: 2, 3189338777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-five quarters of a year in months?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 5*q - 11. Let o be p(14). Suppose o = 4*f + 43. Let z(y) = y - 1. Let h be z(f). Solve h*s - m + 8 - 19 = 0, -15 = -5*s + m for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 13192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = m**2 + 8*m + 1. Let a be h(-7). Let c be (a\/7)\/((-3 - -2)\/21). Solve -2*v + v - 2*b = 5, c = -5*v - 3*b for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + 2*b - b = -23, -12 = -c - b. Let r = c + -1. Find the third derivative of -6*y**2 - 5*y**6 + 5*y**6 + y**r wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = q**3 - 27*q**2 + 2*q - 57. What is i(27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 - 2*z + 4*z - 3*z - 6*z + 22*z + 8*z + (2 + 0 - 4)*(z - 2*z - z) - z + 0*z - z + 2*z + 0 + 0 + (-2*z + z + 0*z)*(1 - 5 + 5) + 5*z - 3*z + 0*z.\nAnswer: 28*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-1)\/(2\/(-73)))\/((-3)\/(-18))?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -4*m. Suppose m = 3*w + 2*w - 20. Suppose w*x + 3 = 5*x. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 205 and 22058.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 45618915 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42 and 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 * -76981.\nAnswer: -230943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 563 + 3858. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*q + 2*q - 9 = 3*v, -12 = -3*v + 3*q. Solve 24 = 5*p - v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*h**3 - 20*h**3 + 43*h**3)*(-7 + 0 + 4).\nAnswer: -57*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*v**3 - 129162 - 2*v + 64583 - v**2 + 64586 to the form u + n*v**3 + h*v**2 + z*v and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-1)\/(-3))\/(3\/18). Let r be ((-1)\/c)\/((-4)\/24). Factor -y**r - y**3 + y - 2*y**5 + 3*y**5.\nAnswer: y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 2 = -5*b - 8, -4*b - 35 = -c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 218152 is divided by 218069?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + (sqrt(637)*1*-3 - sqrt(637)) - (sqrt(637) + 5 + (sqrt(637)*2 + sqrt(637) - sqrt(637)) - (sqrt(637) + -1 + sqrt(637) + sqrt(637) + 5)))*-1*1)**2.\nAnswer: -168*sqrt(13) + 10201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 9*l**2 - 8*l - 9. Let q(j) = 19*j**2 - 15*j - 19. Let f(b) = 5*m(b) - 2*q(b). Is f(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 t when three letters picked without replacement from {r: 1, y: 3, q: 3, t: 3, b: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -4410, -3919, -3424, -2925, -2422, -1915, -1404?\n\"Answer: 2*j**2 + 485*j - 4897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 + 28 = -7*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 2923.59 weeks to nanoseconds.\nAnswer: 1768187232000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -415000 rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3*(-4)\/(24\/(-10)) - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9 in -0.1, 0.3, 0.5, -197\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tjuufjtjjffjj. Give prob of picking 2 f and 1 t.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((546\/28)\/39)\/((-7)\/(-1225)*5).\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-16)\/(-36) - 8\/36. Which is the nearest to k? (a) 0.4 (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -14, -13, 15, 4\/3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1016 - 460. Suppose -3*z + 694 = 2*z + 3*p, -4*z - 2*p = -v. Is z a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 88.82 + -88. Let o = 49.56 - 50. Let b = j + o. What is b rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.07 at least -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, u: 7}. What is prob of picking 2 u?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the first derivative of 9\/10*q**2 + 3\/5*q - 6 + 3\/5*q**3 + 3\/20*q**4. Suppose f(p) = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 607, 1195, 1781, 2365, 2947?\nAnswer: 3527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52 = 32*w - 28*w. Suppose -3*f + 6 = 0, 2*h + 3*f = w + 9. Solve 5*r - 3*r - h = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 8*x = 1840. Let j = x + -227. Solve 0 = -j*s - s - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-35)\/350*(-3)\/((-3)\/(-64))*5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 - 36d2?\nAnswer: -36d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of -10*s**2 + 0*s + 0 + 0*s**4 + 7\/6*s**3 + 1\/6*s**5. What is the derivative of x(a) wrt a?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 50 (base 12) to base 6\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -11 + -13554?\nAnswer: -14005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 20112328 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -0.7. Let i = n + -2. Let a = 3.7 + i. What is the biggest value in a, 0, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -3*r**2 - 382*r + 83608. Let p be u(115). Factor 0 - 6\/17*l**2 - 8\/17*l**p + 2\/17*l.\nAnswer: -2*l*(l + 1)*(4*l - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9819209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -22 - -27. Solve 0 = l + d*m + 10 + 9, -2*m - 12 = -4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.054121523 + -2.945876837. Let b = -3 - c. What is b rounded to seven dps?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*f**2*n**3 + f**2*n**2 - 60*f*n**4 - 58*f*n**2 - 2*n**2 wrt n?\nAnswer: -12*f**2 - 1440*f*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88875005 is divided by 90.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 + x**2 + x - 5. Let m be v(0). Let y(f) = f**3 + 5*f**2 - 4*f + 7. What is the tens digit of y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1085 - 40*f + 0*f**3 - 1083 + 15*f**3 + f**4 to z + i*f**2 + t*f**3 + j*f + y*f**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 19*q**2 + 2*q - 2. Let v be z(1). Which is bigger: v or 16?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (5\/(520\/(-12)))\/(7569\/3364)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -2\/11, -2580, 2\/3 in decreasing order.\nAnswer: 2\/3, -2\/11, -1\/5, -2580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:42 PM and 9:54 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -3*z + 9. Let r(j) = 4*j - 13. Determine -7*m(g) - 5*r(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1752*b**2 - 2 + 1259*b**2 + 4 to x*b**2 + q + j*b and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5573 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2\/7, 0.08, 9.\nAnswer: -2\/7, 0.08, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 67702*p**2 + 135369*p**2 + 5 - 67665*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -584 - 335 + 917 + 205*c.\nAnswer: 205*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 25 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19*-0.276.\nAnswer: 5.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1053 and 22698.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -18243, -18123, -17803, -17181, -16155, -14623?\n\"Answer: 17*h**3 - 2*h**2 + 7*h - 18265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 326 + -186. Let c = -12 + 18. What is the units digit of (c\/(-10))\/((-4)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 - 13*g + 200. What is s(-23)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36 - -75. Let c be 2\/5 - u\/(-15). Factor f**4 + 2*f**4 + f**5 - 2*f + 3*f**c + 2*f + f**2.\nAnswer: f**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 117643 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2187697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2248 and 12364.\nAnswer: 24728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 25 = -34 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 54, 112, 170, 228?\n\"Answer: 58*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l + 41 = -291. Suppose -4*t + s + l = 23, 38 = t + 2*s. Suppose -3*c - c + t = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4, -279, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -10303635 - 1?\nAnswer: -10303636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 5.598631 meters?\nAnswer: 0.005598631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1333314 + -1344?\nAnswer: -1340213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -21, 40, 3, 1, -1, -5.\nAnswer: -21, -5, -1, 1, 3, 22, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 759 divided by -3.\nAnswer: -253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**4\/3 - 466*n**3\/3 - 8970*n**2 + 9126*n.\nAnswer: -2*n*(n - 1)*(n + 117)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 + 10*a - 10. Determine t(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 357610, 357613, 357614, 357613?\nAnswer: 357610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -1291*b**2 - 33*b**3 + 11*b - 35 + 1304*b**2 + 31*b**3. Give r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 5*j - 7. Let n be o(8). Let g = n - 9. Suppose 0 = u - 2*m - 3*m - 19, -4*m - g = 0. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -4*l, 5*s + 0*s - 23 = 3*l. What is the nearest to -1 in s, 6, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.559093ms to nanoseconds.\nAnswer: 559093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 81 and 6895497 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11\/4 + -4*4\/(-64). Let w be 5\/15 + 788\/v - -1. Suppose p - w = -2*u - 0*p, 397 = 3*u + 2*p. List the prime factors of u.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 296422 = -40*q + 42022. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dcd when three letters picked without replacement from cdddcdcdww?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 504031941?\nAnswer: 3, 7, 8000507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 210944603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, k: 5}. What is prob of sequence wwkk?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 1 - 20010132010?\nAnswer: -20010132003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -80, 4, 3, -3 in descending order.\nAnswer: 4, 3, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12329, 24303, 36277, 48251, 60225, 72199?\nAnswer: 84173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + -15. Let t(s) = 191110*s - l + 2 - 8. Let v be t(-9). Round v to the nearest one hundred thousand.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.73 - 0.23. Which is the nearest to 2? (a) -2\/9 (b) j (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -24*c**2 - 5*c. Let v(n) = -5*n**2 - n. Let o(w) = 2*g(w) - 11*v(w). Find the second derivative of o(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 366 = -2*p, 2*p + 3*g = -2*g - 366. Let v = p + 779. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 30166?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 + 9*u - 32. Let d be g(-12). Let v = -88 - -88. Let p(r) = r**2 - 13*r + 37. Let w be p(10). Solve -w*o + d*o - 12 = v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -1*4\/(12\/(-3651)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5311 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 3*j**3 + 2*j**2 + 2*j - 10. Calculate z(-3).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*o = 8*o - 4. Suppose 3*m - 12 = o*w + 144, 0 = 3*w - m + 227. Let t = w + 69. Is t < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12558 and 7176.\nAnswer: 50232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*h + 6*h - 33*h)*(-253 - 82 - 209 + 79).\nAnswer: 7440*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 686 and 1565305?\nAnswer: 21914270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 163231 is divided by 81589.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when -2 + (-1 - -1126) + (-580)\/145 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*i - 87*i + 178 = -v, 5*v - 7*i + 190 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2506 and -1?\nAnswer: -2506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (18\/(-2) - -2) + (-9506536)\/(-442)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 14352 and 16376?\nAnswer: 1277328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 2\/7, -16, 0.4, 378, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of z**4\/4 + 10*z**3\/3 + z**2\/2 + 13*z - 24. Let k be u(-10). Suppose a - k*a + 3*p - 6 = 0, 4*a - 28 = -4*p. Sort 5, a, -3, 1.\nAnswer: -3, 1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6 smaller than -21900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 69\/(-46) - 333\/(-518).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*p + 32*p - 69*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 1*sqrt(4032) + 4 + (sqrt(84)\/sqrt(3) + -5)**2.\nAnswer: 4*sqrt(7) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u + 9. Let j be s(-15). Let a = j - 22. Calculate the highest common factor of a and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or -0.527?\nAnswer: -0.527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ljjfffulfuujf. Give prob of picking 2 j.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 4:57 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 627726419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -4*(sqrt(17) + -1) + sqrt(612) + 2 + sqrt(17) - (sqrt(2057) + 1 + -3 - ((2*sqrt(2057) - sqrt(2057)) + 1 + sqrt(2057))))**2.\nAnswer: 140*sqrt(17) + 3357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(sqrt(60)\/(sqrt(20)\/sqrt(4)))\/sqrt(4))**2 + -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11.4 + 10.9. What is the third biggest value in 1, 15, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 252070 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 267173 + -181186. Let u = s - 86022.977. Let m = 36 + u. What is m rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7303003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 - 912*x - 9548.\nAnswer: -4*(x + 11)*(x + 217)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 238*z - 5 - 253*z + 507*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 33*q = -30*q + 7449, -4958 = -2*w - 2*q. Suppose 0 = -3*b + 4*i + w, -20*b + 17*b + 2490 = -i. What are the prime factors of b?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 13906\/(-2045)*(-15)\/6\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = 103\/168 + -1\/24. Let w(a) = -2*a**2 + 38*a - 35. Let j be w(18). Put 4, j, l in descending order.\nAnswer: 4, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 4*f = -60, -2 + 6 = -2*f. What is the units digit of (3 - 0) + 2*q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 380298533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 3 (c) 5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-50)*4*2\/6*45.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the first derivative of 25*d**3 - 9014. Let q(a) = -285*a. What is q(c(i))?\nAnswer: -21375*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10111010010000 - -1011?\nAnswer: 10111010011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/21 and -119\/30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -32 - -39*((-840)\/315 - (2 + -5))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*(m*m**3*m)\/m)*m**(-7)*m)**18)**(8\/7) assuming m is positive.\nAnswer: m**(-1440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 - 5 = -5*b - 4*p, -4*p + 24 = -2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 6*c**2 - 2*c - 3. Let m be t(-2). Let x = m + 17. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from yyzyyzza.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*p - 560 = 42*p. Let u = p - 398. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + sqrt(28)\/sqrt(4))*1 + (sqrt(77)\/(sqrt(11)*1))**2.\nAnswer: 2*sqrt(7) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -244a42 + -4?\nAnswer: -244a46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/9, -1, -3, 25\/4 in descending order.\nAnswer: 25\/4, -1\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) 12.7 (c) -1 (d) -78\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 18995 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 2.4, 4, -97, -0.5, -3 in descending order.\nAnswer: 4, 2.4, -0.5, -3, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 5*q + 2 = 6, -4*x + 5*q + 44 = 0. Let o(s) = -2*s + 6. Let w(j) = j - 1. Let u(p) = -o(p) - w(p). What is u(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*u - 168 = -128*u. Solve 5*m + 9 = u*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 10\/12*(-3 - (-264)\/(-30)) and -7\/11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 181080436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 16815 and 1482?\nAnswer: 437190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttttzzxtttzzt. What is prob of sequence ttt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21 + (-5 + 10 - (0 + -2))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 85746 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151 = 11*r - 278. Suppose 27*v = 24*v + r. Suppose t + t = 126. Calculate the remainder when t is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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: Let k = -11250 - -12727. Sort 2\/11, k, -0.5 in increasing order.\nAnswer: -0.5, 2\/11, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6.74 times -372951?\nAnswer: -2513689.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 177*w**3 - w**2 + 1. Let q be h(-5). Let p = 7949 + q. What is p rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 5) to base 4\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 3. Let h = -152 + 156. Suppose i = -o - 1, n = -h*i + o + 2 + 14. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 10:58 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + 2 + 437\/(-6). Let n = 74 + d. Which is the second smallest value? (a) n (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(66)*1)\/sqrt(6))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t**2 + 6*t - 6. Let y(b) = 0*b**2 + 11 - 2*b**2 - 18487*b + 0*b**2 + 18480*b - 4. Let u(o) = -o - 1. Let m be u(-6). Give m*y(n) + 6*r(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Put together -0.097 and 463.\nAnswer: 462.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 20276489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n = -13 + 5. Suppose 0 = 5*a - 2*s + 128, -4*a - 88 = -0*a + 2*s. Let b = n - a. Solve -35 = -4*o + 5*y, 3 + b = 5*o + 2*y for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the third derivative of u**6\/40 + u**4\/6 + u**3\/3 + 478*u**2 + 1. Determine s(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -87\/2176 and 1*14*17\/(-408).\nAnswer: 6528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f - 2*o = -11*f + 1392, -f + 2*o = -342. Let x = 588 - f. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*p + 1 - 1)*(4*p - 3*p + 0*p) + (-p + p + p)*(1 + p - 1) - 4*p**2 + 4*p**2 - 2*p**2 + 553 - 553 - 5*p**2 in the form z + q*p**2 + g*p and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -5*p**2 - 2*p + 8. Let k(q) = q + 6. Let y be k(0). Let t be l(y). Let g = -547\/3 - t. Which is the second smallest value? (a) -0.4 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -3*r + 3. Let s be ((-2)\/(-4))\/(4\/8). Let c = s + 3. Let m(b) = 5*b - 5. Determine c*m(u) + 7*p(u).\nAnswer: -u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 7, 5\/4, 1.2, 27 in descending order.\nAnswer: 27, 7, 5\/4, 1.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(1980)*4 - (1*(sqrt(1980) - -2*sqrt(1980)) - sqrt(1980)))\/((sqrt(1584)*-3 - sqrt(1584) - sqrt(11)) + sqrt(891)*-1)*2.\nAnswer: 36*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 - o + 32 - 20)*(-1 + 0 + 2)*(-4*o - 3*o + 4*o)*(-o**3 + 2*o**3 + 2*o**3).\nAnswer: 9*o**5 + 45*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -t**2 + 11*t + 31. Let q(b) be the third derivative of b**5\/5 + 5*b**4\/8 - 13*b**3\/6 + 173*b**2 + b. Let p be q(1). Calculate s(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 16753 (base 9) to base 6.\nAnswer: 125250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-6*(1*sqrt(17) + sqrt(17)) + sqrt(17)))**2.\nAnswer: 74052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2879 and 5.\nAnswer: -14395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3599, 3609, 3597, 3551, 3459, 3309, 3089, 2787?\nAnswer: 2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 4*i. Let q be r(1). Let v be 128\/22 - q\/(-22). Suppose -4*w - 144 = -v*w. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27121525*j**4 - 16972*j**2 - 1210.\nAnswer: -650916600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*h**4 + 396*h**3 - 112*h**2 = 0. What is h?\nAnswer: 0, 2\/7, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 9b7 - -24?\nAnswer: 9db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3579 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.996 + -0.004. Let x(l) = -l**3 - 2*l**2 + 2*l - 4. Let n be x(-3). Let u be -2 - (1 - 0)\/n. What is the nearest to u in 0.3, -0.2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 153768 and 576630.\nAnswer: 2306520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.761 + -0.461. Which is the third smallest value? (a) -19 (b) -6 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 23*z + 23*z - 34*z + (-1 - 2 + 8)*(6*z + 10*z - 7*z).\nAnswer: 57*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in t**2 - t**2 - 53553391*t**3 + t + 53553394*t**3.\nAnswer: 3*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -23220203 (base 4) in base 7?\nAnswer: -255632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 2*t + 25 = 0. Suppose -t*b + 376 = 4*i, -b - 111 = -4*i + 265. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -5*(-1 + sqrt(76)) + sqrt(76))*2.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v + 2. Suppose 70 - 10 = -12*m. Calculate w(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -t**2 - 26*t + 7. Let m be c(-14). What is the third derivative of 10*q**m - q**5 - 12*q**5 - 7*q**2 - 7*q**2 wrt q?\nAnswer: -780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*u + 504000 = -43*u. What is u rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 710*y - 39870. Determine j(48).\nAnswer: -5790","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 104 = 12*q + 56. Sort q, 11, -1\/58 in descending order.\nAnswer: 11, q, -1\/58","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence whw when three letters picked without replacement from wewhwhwh?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.410665 + 5.589115. Let u = 6.24 - 0.24. Let c = u - j. Round c to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -727.4 + 727. Which is the third smallest value? (a) 0 (b) x (c) 0.4 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 271, 2\/7, 291, 4, -2\/11 in descending order.\nAnswer: 291, 271, 4, 2\/7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 4*o - 20. What is u(8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + a - 68, 2*p - 8*a - 32 = -6*a. Let n be 267 + 0 - (-7 + p). What is the biggest value in -4\/7, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -22*p - 3. Let j(k) = -48*k - 6. Let q(n) = -13*c(n) + 6*j(n). Let g(w) = -w - 1. Let h be g(-6). What is q(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-54)\/(-495) + ((-3)\/(-15))\/(-1)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) be the second derivative of -7*i**3\/6 + 531*i. Let f(t) = -35*t**2. Calculate y(f(k)).\nAnswer: 245*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -20 at least -52499\/37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 59 - (40 - (88 - 10))?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 14 + (-4 - 5) + -13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 11608, 23211, 34814, 46417, 58020, 69623?\n\"Answer: 11603*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2200178.\nAnswer: 2, 1100089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 126 + 5?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 152748 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -133*a + 61*a = 95*a + 668. Let h(i) = 22*i - 1. Let b(c) = 22*c - 2. Calculate a*h(n) + 3*b(n).\nAnswer: -22*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 - 3*c - 5. Let j be (2\/2)\/(7\/112). Suppose o + 3*o = j. Let q be m(o). Sort q, -2, -4 in increasing order.\nAnswer: -4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(1\/4)\/b*b)\/(((b*b**(-1\/13))\/b)\/b) assuming b is positive.\nAnswer: b**(69\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/10*-5 + 4. Suppose -o - 1 = -2*y + 3*y, 0 = -y - 2*o - 5. Solve -y*w = -k*s - 1, 1 = 2*w - 5*s - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 43\/266714 or 0?\nAnswer: 43\/266714","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t. Let f(d) = 6*d. Let o(r) = -4*f(r) - 3*j(r). Let x(i) = -i**2. Determine o(x(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -3, -6*i = 3*n - 7*i - 15. Suppose 4*v = 4*z - 584, z + 5*v - 152 = n*v. What are the prime factors of z?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6022219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (-80)\/64*2\/5*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2 + 12*c + 8. Let i(s) = -s**2 - 1 + 0 + 1. Let r(q) = 2*i(q) - p(q). Does 7 divide r(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 916.4498 nanograms to tonnes.\nAnswer: 0.0000000000009164498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 78, 170, 260, 348, 434, 518, 600?\nAnswer: 680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54*43\/2322*(-20)\/(-75).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 2*z + 4. Let w = 4 - 8. Let i be m(w). Let q(y) = -y**2 - 7*y. Let g(u) = u**2 + 8*u - 1. Let t(l) = 2*g(l) + 3*q(l). Calculate t(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 16\/46927?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 312154862.\nAnswer: 2, 73, 89, 24023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be 9\/3 + (-7)\/(140\/75). Which is the second biggest value? (a) v (b) -1\/5 (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - (-1 - -3)) + -13 + (5 - 3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -1 + 4*l - 2*l - 6*l - 5. Let g be n(6). What is the remainder when g\/(-4)*(-2)\/(-3) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find t such that t**3\/2 - 2763*t**2\/2 - 138569*t - 403260 = 0.\nAnswer: -94, -3, 2860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 2\/383079?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 40 - 20413132?\nAnswer: -20413042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = b**2 - 20*b + 101. Let i be h(8). Suppose -i*r + 3255 - 760 = 0. What are the prime factors of r?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 67111 less than 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r + 25 = -0*r. Let i be 3 + (-14)\/8 - 5\/60*-45. Solve i*w + 5 = t, -t = w + 2*w - r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/5 - 11\/(-40). Which is the second biggest value? (a) -2\/3 (b) -0.2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27304.045 rounded to the nearest one hundred?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 2002313 (base 4) to base 7\nAnswer: 33263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*j + 76 = 17*j. Suppose 0 = -j*l + q + 20, -l = -5*q - 4 - 6. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v**2 + 18*v + 56. Let m = 19655 - 19663. What is o(m)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 (base 12) in base 8?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217816361?\nAnswer: 7, 19, 29, 56473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -1177356000 divided by 4709424?\nAnswer: -250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**3 + 20*r - 30*r + 7 + 8*r**2 + 14*r + 13 + 8. Calculate t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 581894523 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x**(2\/11))**(-3\/10))**(-21))**38 assuming x is positive.\nAnswer: x**(2394\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 6826801 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 0.237*-3124.81\nAnswer: -740.57997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Determine b, given that b**4 + 28*b**3 - 27*b**2 - 3222*b + 9072 = 0.\nAnswer: -21, -18, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6 - 3. Suppose -5*l = -d*l. Let t(p) = -p**3 + p**3 - p**3 + l*p - p. Determine t(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(176)*2 + -3.\nAnswer: -3 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6147*0.19.\nAnswer: 1167.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -5*6*(-2 + ((sqrt(396) + sqrt(396) + -1 + sqrt(396))*2*-2)**2).\nAnswer: -1711140 + 17280*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96*y - 5*l + 47 = -94*y, 0 = -5*y - l + 106. Solve -y*i - 5*i = 78 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttzkzztmzmm. What is prob of picking 1 k and 3 z?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 5 = 0, 3*a - 164 = -5*l + 4*a. Calculate the highest common divisor of l and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pwjopjppppmpmpjjmjpp. Give prob of picking 1 w and 1 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) be the first derivative of v**6\/120 - v**5\/10 - v**4\/4 - v**3\/2 - 20*v**2 - 86. Let z(w) be the second derivative of x(w). Determine z(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 429175 and 17167.\nAnswer: 429175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + t + 9072 = 0, 154*g - 22677 = 149*g + 2*t. What are the prime factors of g?\nAnswer: 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/5 + (-15502)\/(-10). Suppose -12*s + 7*s = -l. Let q = -195 + s. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 164*o**3 - 21*o**2 + 21*o. Let z(h) = -33*h**3 + 4*h**2 - 4*h. Calculate 2*t(p) + 11*z(p).\nAnswer: -35*p**3 + 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**2 + 6585344*u - 19755996.\nAnswer: -4*(u - 1646333)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1008*m**3 - 3*m + 2655*m**3 + 3*m.\nAnswer: 1647*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 - 40*k + 229. Let j be y(33). Let o(p) = 3*p**3 + 2*p**2 + 2*p. Calculate o(j).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3347903)\/(-2642492) + (-2 + 2 + -5)\/4.\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00063558631 rounded to 5 dps?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Is 398093669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 10:29 AM?\nAnswer: 1:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*o - 184 + 21*o - 9*o.\nAnswer: -o - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**2 + 22*u + 98. Let d be a(-16). Solve 0 = 3*j - 4*h - 2, -d*j + 2*h = 2*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 83803bbb - -1?\nAnswer: 83804000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 3*l + 1, -3*o + 4 = l - 5. Suppose -o*j = j. Suppose 2*h - 6 - 6 = j. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -82996*d - 3568817. Calculate j(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2 + -3669497576307\nAnswer: -3669497576309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13484693?\nAnswer: 23, 586291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wmwmwwjwumarm. Give prob of sequence aw.\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (1 - (0 - -4))*16\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -154*v - 551 + 83 = 80*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 581?\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + k - 3*k = -37, t - 5*k = -16. Suppose -t*j + 22 - 4 = 0. Solve 2 + j = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 433845 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 120, -0.4, -5 in descending order.\nAnswer: 120, 7, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/2)\/(1\/(-49)). Let y = k + 347\/14. Which is the closest to y? (a) -4 (b) -3 (c) -9\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 508 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -113*p - 912 + 2798 + 826 = 0 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -83528, -4\/5, 26, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -u + 2*u. Suppose 21 = 5*o + 4*w, -u*o = -0*o + w - 19. Let v = 565 + -561. Solve o = -5*r + 4*q - 2, 2*q - 2 = v*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12 + -100303?\nAnswer: -100231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 1850*b**3 + 1003*b**2 - 22. Let r(f) = -925*f**3 - 501*f**2 + 12. Let d(s) = -6*g(s) - 11*r(s). Find the third derivative of d(p) wrt p.\nAnswer: -5550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1020021210012 (base 3) to base 8\nAnswer: 2377556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -3*i**3 + 32*i**2 - 17*i - 5. Let t(a) = -5*a**3 + 49*a**2 - 26*a - 8. Calculate 8*h(g) - 5*t(g).\nAnswer: g**3 + 11*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -61 - -73. Calculate the remainder when 81 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*a + 245 + a + 143 to b + j*a and give b.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 289 a factor of 479162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -437*j**2 + 20*j - 1501*j**2 - 1877*j**2 - 19*j + 764*j**2.\nAnswer: -3051*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 49 + -28. Let y be ((-7)\/l)\/((-1)\/9). Suppose -y*i + 12 = -i. Let o(s) = -4*s + 8. What is o(i)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 18 = 11*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is (-2)\/(4*(-6)\/11508) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 116 and 145?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 52*a**3*b**3 + 3*a**3*b + 2523*a**3 + a*b**3 - 3*a*b + 154*b**3 + 443*b**2 wrt a?\nAnswer: 312*a*b**3 + 18*a*b + 15138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 69.77 + -86842670070?\nAnswer: -86842670000.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 29, 5, -5, 5, 41?\n\"Answer: u**3 + u**2 - 34*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -362440 + 14497717\/40. Suppose g = -2*w - 6, -4*g - 3 = -g + 3*w. Calculate the common denominator of q and g\/(-6) + (-37)\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 plus 217896.47730019?\nAnswer: 217896.45730019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 34, 0.0972127 in descending order.\nAnswer: 34, 5, 0.0972127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: (6\/180)\/((-1136)\/(-8520))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from djjddddjeejjedj.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 1 + (sqrt(72)\/sqrt(4))\/sqrt(9) + (sqrt(66)\/sqrt(3))\/sqrt(11) + 0 + (4 + sqrt(288)*-1 + sqrt(288) + sqrt(288) - sqrt(288))**2*-4.\nAnswer: -60 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y**2 + y**2 + 3*y**2 + (-7*y - 5*y + 2*y)*(-5*y + y + 3*y) + 2 - 2 - 6*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36428)\/22117)\/(12\/34)?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k**2 - 12*k + 1. Let w be l(-11). Suppose w + 30 = 6*x. Solve -3*a - 1 + x = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1100001 (base 2) to base 5\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -2*m + 4*u, 3*u + 8 = u. Suppose 9 = m*g + o - 2, -5*g - 4*o + 35 = 0. Suppose 3*y = -y + 3*p - 19, -2*y - 2*p + 8 = 0. Is y greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-10)\/(-1)*(-9)\/(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 15) to base 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2345907 - 4508308 - 6456*i - 2*i**2 + 1644223.\nAnswer: -2*(i + 1614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 3*i. Let h(r) = -30*r + 4. Let f(u) = -931*u + 126. Let x(n) = -2*f(n) + 63*h(n). Give x(y(j)).\nAnswer: -84*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4044\/(-20894))\/((-600)\/496).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 3*n - 15. Let a be z(10). Factor -4 + 3*g**2 - a*g**3 + 29*g**3 - 13*g**3.\nAnswer: (g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1143770324 a multiple of 2777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 + -8 + (-68)\/28)*(-8)\/3.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21227 is divided by 2342?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3*(-4 + 44\/(-6)). Suppose 2*o = -2*i + t, i = -5*o + 115 - 14. Calculate the smallest common multiple of 12 and o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 896 and 352.\nAnswer: 9856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 6*r - 3*r)*(-r + r - 6*r**2) + 0*r**3 - 3*r**3 + 5*r**3.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 8*w - 113. Let g be q(16). Let r = 11 + -5. Suppose s + g = r*s. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -h**2 + h - 1. Let v(r) = 4*r**4 + 8*r**3 - 20*r**2 - 24*r - 24. Let m(j) = -8*n(j) + v(j). Let m(g) = 0. What is g?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 4 = -4*z, 5*f = 5*z - 0 + 15. What is the least common multiple of 42 and f?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -4\/9, -4, 5, 2\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 34261706033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/30 and 154\/(-60) - (-78)\/195?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 v when two letters picked without replacement from vvqviqqqqqqvvqqvvwqi?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 8a (base 15) to base 3.\nAnswer: 11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -26 + 50. Find y such that 63*y**2 - c*y**3 - 10*y**4 - y**4 + y**2 + 7*y**4 + 0*y**4 = 0.\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49776 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ookkobop. What is prob of picking 2 k and 1 b?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 134211137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -42 by -37.\nAnswer: 42\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1494*l + 5418 + 5974 + 22904 = -37416 for l.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 30\/24*(3 + 1). Let y be 5\/25 + 19\/k. Suppose 0*p + y*p = 220. What is the remainder when p is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -25953.217 and 0.\nAnswer: -25953.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -a**3\/7 + 12533*a**2 - 350912*a\/7 + 350908\/7 = 0.\nAnswer: 2, 87727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 294*w**2\/11 + 56*w\/11 - 8\/11.\nAnswer: 2*(7*w + 2)*(21*w - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 0*z = o + 2, -5*o = -4*z - 9. Let g = -861 + -195. Let l = -1053 - g. Which is the third biggest value? (a) l (b) z (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3 - 2.92. Let h = 0.02 + y. Which is the closest to h? (a) 0 (b) -5 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/(l**(-6)\/l*l*l)*((l\/(l**(-15\/4)*l))\/l)\/l*l**4*l**13 assuming l is positive.\nAnswer: l**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*n + 445 - 457 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -6*u. Let x be y(-1). Let d(q) = -q**3 + 5*q**2 + q + 5. Let s be d(5). Suppose -v + s = -x. Does 8 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g = -2*y - 10, 2*y - 6 - 16 = -4*g. Let z(j) = -j - 5. Let x be z(-9). Calculate the greatest common divisor of g and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1496886284 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -b340 (base 13) in base 12?\nAnswer: -12386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 163954581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -502 by 2.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.4 and -3543663.65441?\nAnswer: 3543664.05441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 5*y - 9. Let s be b(4). Calculate the greatest common divisor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 6 + 1 + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 3)*(0*x - x + 2*x) + x + 0 + 0 - 8*x + 233 - 233 + (-7 + 7 - 3*x)*(-1 + 2 - 4).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xjsz when four letters picked without replacement from xxjsz.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 37061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -56491, -57269, -58057, -58861, -59687, -60541, -61429, -62357?\nAnswer: -63331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-91)\/3)\/(70\/(-60)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 7*s. Let k(t) = -3*t + 3*t + 5*t**2 - 4*t**2. Give k(h(b)).\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1079 + -329. Let g(q) = q**2 - 22*q + 35. Let p be g(29). Suppose p*d - s = 233*d. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -20370*z - 8131. Is n(-23) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97539 is divided by 2438.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/11, -0.4, 1471.6 in descending order.\nAnswer: 1471.6, 2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1054324359 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 1758 divide 762984306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2001 + -122?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 455093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 6 + (14 - 20) - (-28 + 22 + -34)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = o + a - 4, 5*o + 2 - 10 = -a for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -66 + 20 - 97 - -244?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express (5353 - 2676 - 25*x - 2694)*(-2*x + 3*x - 3*x) in the form p*x**2 + h + l*x and give l.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2479458 is divided by 495876?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1)*p*p\/(p\/(((p\/p**(-4))\/p*p*p)\/p)))\/(p\/p**(-1\/4))**(-34)*((p*p*p**(-1\/3)*p*p)\/p*p)**(-18)*((p*p**(1\/5))\/p)\/p**(-1\/3) assuming p is positive.\nAnswer: p**(-539\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (26 + -31)\/((-25)\/(-15))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -11, -58, -137, -248, -391, -566, -773?\n\"Answer: -16*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*w**2 - 3*w**2 + 0*w**2)*(-w**2 + w**2 + w**3)*(-1 - 3 + 9 + (-6 + 1 + 3)*(-4 + 3 - 1)).\nAnswer: 36*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -11, -0.2, -0.075, 0 in increasing order.\nAnswer: -11, -2, -0.2, -0.075, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 21*a**2 - 4*a + 4. Let v(o) = 64*o**2 - 11*o + 11. Suppose 5*d + 3*p + 11 = 0, 5*p = -8*d + 6*d + 7. Give d*v(g) + 11*y(g).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*x - 3 + 3)*(-1 + 4 - 2) - x + 6*x - 4*x + 2*x - 2 + 2 - 52*x + 104*x - 69*x + (-4 + 3 + 5)*(2*x - 1 + 1) as z + s*x and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -34234\/35 + 4044\/7. Let w = m - -400. Let f = 0.3 - -0.2. What is the biggest value in 1, w, f, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 144*i + 146*i - 3.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -124*v - 129*v + 291365 + 169348 = 0. Is 86 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*f**3 - 395*f**2 + 7600*f + 8000.\nAnswer: 5*(f - 40)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 1402 = 4*f, -3*f = -23*g + 20*g - 1056. What is the remainder when f is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2 + -2.3. Let c = 0.021 - -4.909. Let h = c - -0.07. What is the third smallest value in h, l, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 831310327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*l**2 - 23350*l + 28083520 = 0 for l.\nAnswer: -5662, 992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 4*m - 43. Let o be u(12). Suppose -22 = -4*w - o*y + 30, 4*y = w - 13. Calculate the greatest common factor of w and 1456.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -376, -303, -192, -43?\n\"Answer: 19*p**2 + 16*p - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 31162457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 4*d + 2*d - 43 = 0, -3*o + 2*d + 25 = 0. Suppose -35 = -3*f - 8. What is the smallest common multiple of o and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -z + 4*w - 19, 38 = 3*z + 4*w. Suppose s = z - 1. Suppose 0*o + s*o - 25 = 0. Solve o*t - 3*a + 2 = -0*t, t + 2 = -a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/23)*f**(-13)*(f*f*((f**21\/f)\/f*f)\/f)\/f*f**16\/f*f)**(-15) assuming f is positive.\nAnswer: f**(-7965\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -23.85715+-0.02\nAnswer: -23.87715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(-7)*(17 + -16). Suppose 0*y + 8 = -4*y. Let a = 2 + y. Is a at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:39 PM and 11:36 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.606 - -4.679. Round k to 1 decimal place.\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 24382106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k. Let t(l) be the third derivative of l**4\/8 + l**3\/6 - 148*l**2. Determine -9*i(m) - 2*t(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in -126, -555, -1290, -2337, -3702, -5391?\nAnswer: -7410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 5*t + 6. Calculate the remainder when ((-32)\/t)\/(12\/18) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.85 in -1, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = 3*h + h - 4*l, -3*h + 5*l + 28 = 0. Suppose -5*q = -4 - h. Which is smaller: 4\/5 or q?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2822 divided by -1411?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -5667.8903 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -16.97965 - 0.02035. What is the closest to -3 in -1\/8, z, 4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3418 is divided by (29\/2)\/((-52)\/(-208)).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -625*g = 3*c - 623*g - 4, 4*c - 4 = -2*g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -40.96 and 38.9?\nAnswer: -1593.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 549 and 102987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Do -86899107 and -86899104 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 50, 2\/7, -13026?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of -m**4\/4 + m**3 + 7*m**2\/2 - m - 1. Let z be h(5). List the prime factors of (z\/3)\/((-6)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18739.\nAnswer: 7, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6\/13 or 17\/1762?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5707 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 61 + 92. Let a = b + -153.134. Let u = 0.1339927 + a. What is u rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(85) - (5*sqrt(85) - sqrt(85)))*2)\/((sqrt(245)*-5 + sqrt(245))*6 + sqrt(245)).\nAnswer: 24*sqrt(17)\/161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2.97 + 0.03. Let t = -8.5 - -0.5. Let q = t + 8. Put -2\/3, u, q in descending order.\nAnswer: u, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29 + 29 - 102*s**3.\nAnswer: -102*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*k - 21*k - 205 = 0. Let n = 50 + k. Is 26 a factor of 2\/n + ((-966)\/(-27) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + -1*(sqrt(19) + sqrt(95)\/sqrt(5) + sqrt(19) + sqrt(19) + -4 + sqrt(19)))*4)**2.\nAnswer: -480*sqrt(19) + 7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -454 + 1312?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3 + 9. Suppose 12*h = 2*h. Solve h = -u*o + 7*o - 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3\/3790 - 7643\/79590. What is the closest to 3 in 3\/2, -15, 0.4, r?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3189678?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the third derivative of -1\/8*d**6 + 0*d + 2*d**2 + 0 + 0*d**4 - 1\/60*d**5 + 1\/6*d**3. List the prime factors of k(-1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 5 + 3672?\nAnswer: 3677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7.9 + -8. Let k = 8 - 9.7. Which is the biggest value? (a) k (b) -2\/9 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 211928400 is divided by 42200.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -1100110110000011110 (base 2) in base 13?\nAnswer: -119766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 9 + -4 + 3 + (9 - 15)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 87, -1 in decreasing order.\nAnswer: 87, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 7\/4*363\/3388. What is the second smallest value in -3, w, -11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -3226, -11909, -20588, -29263?\n\"Answer: 2*c**2 - 8689*c + 5461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (12\/(-1368))\/(733\/(-5864)).\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 21, -4, 3, -2, -56\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 6*f**2 - 4*f. Let n(s) = -s**2 - 1. Suppose 4*g + 2 = -2. Let k(t) = g*d(t) - 5*n(t). Let v be k(5). Solve 5*a - 2*a = v for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2101.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -48*v - 80*v - 21*v.\nAnswer: -149*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 9\/1786 in -5, 3\/4, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -38? (a) 2631 (b) -1\/4 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1.479 times -0.003?\nAnswer: -0.004437","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2\/9)*k)**4\/(k**(7\/3)\/(k\/k**(-15)*k)) assuming k is positive.\nAnswer: k**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - ((-19 - -14) + 1 + -3) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -25, -0.4, -3\/4, -91, 14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 152496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -5*w + 3979, -3*w - x + 2385 = 2*x. Suppose 2*r - 319 = w. List the prime factors of r.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.302 in 0.3, 7, 0.1, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000000947 to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 407876?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 838 - 418 + 28*v - 5*v - 420.\nAnswer: 23*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -307*i**2 + 6*i - 3. Let v(n) = -2*n**2 - 2*n + 2. Give o(z) + 3*v(z).\nAnswer: -313*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001397084 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/225154 and -21\/6712.\nAnswer: 755616824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/7, -1\/3, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 15228 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -163, -3, -420, 172 in increasing order.\nAnswer: -420, -163, -3, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = 952*w**2 - 1776*w - 264. Determine x(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 5.47, 2, 1, 95, 0.\nAnswer: 0, 1, 2, 5.47, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is -0.05 smaller than -100?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/221920 and 73\/1120.\nAnswer: 1553440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 l when two letters picked without replacement from uululgglul.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 70 and 1267.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 88288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000103213364 rounded to six dps?\nAnswer: 0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 1 + s)*(-1 + 4 - 2) - 8*s + 22*s + 6*s + (-5 + 1 + 2)*(-2*s + s - s))*(-39*s**4 + 203*s**4 - 58*s**4).\nAnswer: 2650*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.064 - -30.936. Let n = 1487 - 1516. Let h = n + p. Which is the nearest to -2\/5? (a) 5 (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 2*f**2 - 2*f. Let u = 2 - 5. Let x(t) = -2*t**2 + 23*t - 20*t + 4 - 4. Let j(b) = u*p(b) - 2*x(b). Let r(l) = -2*l**2. Calculate r(j(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + m + m = -6, 388*m = 799 + 1141 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 6*v**2 + 8*v + 8. Let i be f(-7). Let m be (2\/(-5))\/(i\/(-5)). Let x = 6 - 4. Solve m*j = -r + 2 - 1, 2*r = 5*j + x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27835750 divided by -2875?\nAnswer: 9682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 - -1.4. Let i = 235.8 - 235. What is the third smallest value in v, 3\/4, -2\/7, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19414511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 19 = 5*i, -5*i - 4*j = -2*i - 8. Let m(n) = 0*n - 1 + 10*n - 6. Let h(r) = 3*r - 2. Determine i*m(b) - 14*h(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13607.5 + -13607. Let p = -5\/2 + 33\/10. Which is the fourth biggest value? (a) 2 (b) p (c) z (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -483, -501, -557, -675, -879, -1193, -1641?\n\"Answer: -4*j**3 + 5*j**2 - 5*j - 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8427*b*h*j**3 + 777*b*j + 4*h*j**3 + 5*h*j**2 + h*j - 5*h wrt j?\nAnswer: 50562*b*h + 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 4 = 0, -6*r + 8*r - 20 = -m. Solve -2*q = 4*n - 3*q - 12, -n + m = -4*q for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -162126*i. Let g(k) = 36*k**2. Determine o(g(q)).\nAnswer: -5836536*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 4, -3, -22, -59, -120, -211, -338, -507?\n\"Answer: -d**3 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -135 + 133. Which is the third smallest value? (a) -13 (b) q (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10\/271 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -118 + 264. Let v = b + -442\/3. Put -1\/2, v, 0 in ascending order.\nAnswer: v, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 6*d**2 - 937662*d + 1875319. What is q(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 5 = -4*h. Let v = 4 + h. Suppose -2*p - 2*x = -5*x - 38, -x + 78 = v*p. Calculate the remainder when p is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50382?\nAnswer: 2, 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1297216922 to the nearest integer?\nAnswer: 1091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(176) - (sqrt(1584) + 1)) + -3)*2 + -1.\nAnswer: -32*sqrt(11) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -923*p - 2784*p - 3879*p - 7169*p + 64*p in the form w*p + x and give w.\nAnswer: -14691","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 893 a factor of 15790944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 41, 161, 359, 635, 989, 1421, 1931?\n\"Answer: 39*b**2 + 3*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 67490*n - 31 - 67494*n + 1. What is d(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many days are there in thirty-two sevenths of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, e: 9, i: 3, c: 3, p: 2}. Give prob of picking 2 p, 1 c, and 1 t.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5286, -10572, -15858?\nAnswer: -21144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 47*r**2 - 102*r**2 + 54*r**2. Let u(d) = 23*d. What is u(s(x))?\nAnswer: -23*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*v - 10 = 3*n, 36*n + 8*v - 16 = 40*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = k - 82. Let n = k + 9. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -63938, -127874, -191810, -255746?\n\"Answer: -63936*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -50625\/23 or -2201?\nAnswer: -50625\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3473652 and 7098.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -814*47.\nAnswer: -38258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91*w + 193*w = -74*w + 27924. Is 91 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -2, 11, -4981?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 463 minutes after 7:52 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) be the third derivative of r**4\/24 - 7*r**3\/3 - 7*r**2. Let n = 19 - 13. Give y(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*((-350)\/(-245) + -2).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 3, a: 5, l: 2}. Give prob of picking 1 a and 2 r.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -275108*i = -275111*i + 5*d + 17, i + 5 = -d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 99 is divided by ((-30)\/(-16))\/(33\/176).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 73*q = 86*q + 65 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 409957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -5, 0.5, 0.12, -151 in increasing order.\nAnswer: -151, -5, -2\/5, 0.12, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*t + 5*t - 6*t - 9*t**3 - 2*t**5 + 45*t**2 - 42*t**2 wrt t?\nAnswer: -120*t**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**3 + 4*g**2 - 5*g + 9. What are the prime factors of n(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 10*s**2. Let c = -9 - -16. Calculate the least common multiple of n(1) and 65\/c - (-2)\/(-7).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -3*q**3 + 17*q**2 + 6*q + 6. Let a be n(6). Suppose 665 = 3*l - a*l + 5*h, -5*l - 1102 = -2*h. What is l rounded to the nearest ten?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2, 4, 8, 14, 22, 32?\n\"Answer: h**2 - h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -8\/23? (a) 4 (b) 4.9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of (-2)\/(-9)*-6 - 440\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the second derivative of -u**5\/20 - 197*u**4\/12 - 9991*u**3\/6 - 28227*u**2\/2 - 4*u - 13. Factor b(s).\nAnswer: -(s + 3)*(s + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the third derivative of s**8\/1008 - s**7\/630 - s**6\/180 + s**5\/90 + s**4\/72 - s**3\/18 + 24*s**2 + 1. Factor m(i).\nAnswer: (i - 1)**3*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 235 + -381. Let l = x + 150. Let i(y) = 3*y - 10. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (1 - -1)) + 11 + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -251131.540004 + 251086.54. Let d = -45 - o. What is d rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -838 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 + 5*d**2 - 4*d + 5. Let f be u(4). Let o = 3 + -3. Let b(n) = n + 4. Let v be b(o). Solve 0 = v*p + 3 + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5765354081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -28 + (97 - 30) - (3 + -1)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1252 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 82321, 82372, 82425, 82480, 82537?\nAnswer: 82596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - -1126640?\nAnswer: 1126635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 976 times 0.5?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor 169*p**3\/6 + 45136*p**2\/3 + 13885*p\/6 + 89.\nAnswer: (p + 534)*(13*p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 48436\/7 + -6923. Find the common denominator of 113\/84 and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 253610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 164*z + 1030*z**2 - 519*z**2 - 512*z**2 - 3*z**3 + (-1 - 1 + 0)*(-4*z**2 + 4*z**2 - 2*z**3) as w + r*z**3 + x*z**2 + k*z and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3755565807?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 2*z - 160. Suppose 0 = 5*a + 100 - 395. Suppose -4*f - 3 = -a. What is the remainder when z is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -13*n - 11. Let x = -533 + 544. Let c(j) = 7*j + 6. Let i be 2 + -3*(-4)\/6. Suppose -k + 9 = 3*d, -5*k - i*d + 35 = d. Determine k*y(q) + x*c(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 601992 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-2))\/(578\/(-2023)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 5\/6, 36, 5734 in increasing order.\nAnswer: 5\/6, 36, 5734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 633, -512 in decreasing order.\nAnswer: 633, -1, -512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6535 - -392111\/60. Let u(v) be the third derivative of 0 + 2*v**3 + 0*v**4 + 0*v - k*v**5 - 9*v**2. Find the first derivative of u(l) wrt l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 6*g - 4. Let q(r) = 5*r - 7. Let k(y) = 16*y - 21. Let j(u) = 6*k(u) - 17*q(u). Let i(x) = -4*j(x) + 7*s(x). Let a(p) = -4*p. Calculate i(a(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 16. Suppose 0 = 3*v - 2*v - n. Let x be 1\/(v - (-23)\/(-6)). What is the third biggest value in -4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-18064)\/690 + (-4)\/(-6). Let s = l + 128\/5. Let z = -1.4158 - -0.4158. Is s equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -3 + 28\/(-2 + 6). Suppose i - 5*l = 96 + 297, 4*i - s*l - 1636 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 646, -177, 4, -3, 2 in decreasing order.\nAnswer: 646, 4, 3, 2, -3, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u + 0 + 0)*(0 - 1 - 1) - 5*u + 0*u + 2*u + 0*u + 3*u + 0*u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-12)\/(-104))\/(24\/78)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1\/2)*j)**(-5))**(-1\/20) assuming j is positive.\nAnswer: j**(1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 44133 - -4?\nAnswer: 44140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (174\/435)\/((-36)\/(-150))*30?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 26*w**2 + 97*w - 30. Determine k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -20 - 7. Let q = w + 31. What is the closest to 1\/4 in q, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1426071*u**2 + 1426071*u**2 - u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 14703584 divided by -4\nAnswer: -3675896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 2*s = -6, 5 = -q + 6*q + 5*s. Let o be q\/(-6)*12\/8. Which is the second biggest value? (a) -2\/25 (b) -1 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 30 (b) 5 (c) -155 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 39323 is divided by 2621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 + 3*q - 2. Let d(z) = 7*z**2 + 55*z + 45. Let l(h) = d(h) + 4*t(h). Determine l(-22).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:57 AM and 5:06 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - 1. Suppose -156 + 36 = -12*j. Find the first derivative of -b*f**4 - j - 5*f**4 + 5 - 4 wrt f.\nAnswer: -28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-88)\/154)\/((-1)\/7). Find the third derivative of m**2 + 6*m**t - 3*m**4 - 9*m**4 - 4*m**2 wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m + 99 - 141 = 0. Let a(b) = b**2 + 5*b - 2. Let f be a(-6). Calculate the remainder when 114\/f*(-4)\/(-6) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -n**2 - 4*n**3 + n - n**2 + 5*n**3 + 2*n**4 as b + o*n**2 + u*n**4 + h*n + x*n**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2093635781 a multiple of 137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 19890281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 1 h when two letters picked without replacement from ttthxhmmhmmhhtttm.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 1\/5, 0, 6\/13, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 535 divided by -107\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -458 = -v + 5*g, g + 1847 = 4*v - 4*g. Suppose 99 = 4*k + v. Let z = -24 - k. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6*7\/21*(-2)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1350205 - 288033 + 184658 = 115*z. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 112060375?\nAnswer: 5, 7, 83, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -4*l. Let r be k(-1). Let q(v) = v**2 - 99*v + 1911. Let o be q(26). Solve -r*u + o = 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*h + 21*h + 9 = -1419 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 55? (a) -1\/5 (b) 0.2 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 129? (a) -5\/6 (b) 2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 7713, 31029, 69947, 124467, 194589, 280313?\n\"Answer: 7801*y**2 - 87*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express n**2 - 2*n**3 - n**2 + (58*n - 18 - 18 - 64*n)*(-6*n**2 + 6*n**2 + 4*n**2) in the form x*n**3 + g*n**2 + i*n + k and give x.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -836*k - 326*k - 25*k as a*k + c and give a.\nAnswer: -1187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (45*m - 22*m + 31*m)*(5 + 9 + 8)*(2 - 4 + 1) to the form p + k*m and give k.\nAnswer: -1188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is m in m**4\/5 + m**3\/5 - 6*m**2\/5 - 4*m\/5 + 8\/5 = 0?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*q = 182*q - 238*q - 220 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, -3\/5, -0.02, -0.14, 0.15 in descending order.\nAnswer: 0.15, -0.02, -0.14, -1\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 + 18. Let y = -17 + l. Let p = -7 - y. What is p rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(2 + -2*sqrt(7) + 3 - sqrt(14)\/(2*sqrt(32))))**2.\nAnswer: -765*sqrt(7) + 32607\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -a - d, -34*a - d + 20 = -37*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -166*j**2 - 53*j**2 + 25*j**2 to the form r*j + x + y*j**2 and give y.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = 497.9446 + -498. Let k = j + 0.1052. Round k to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-7))**(-14) assuming p is positive.\nAnswer: p**98","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be (31\/(-6))\/(3\/(-825)). Let r = u - 1434. Find the common denominator of r and 33\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w + 30. Does 4 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21182299?\nAnswer: 21182299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 72 + -104. Let b = 17 + d. Put 5, b, 3 in descending order.\nAnswer: 5, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.076? (a) 2\/7 (b) 0.1 (c) -2 (d) -6 (e) 3 (f) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 40.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 69 a factor of 661020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 585268247 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and 79442776?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 254751 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 - 4.6. Let f(r) = -r**2 - 7*r - 10. Let k be f(-5). Sort -0.05, k, w in increasing order.\nAnswer: -0.05, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = z + 1, -4*m - 11 = 5*z - 6. Let u = -19 + m. Which is smaller: u or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = 2*h**3 - 625*h + 1955. Give b(16).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, q: 3, e: 3, z: 7}. What is prob of sequence ze?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1028 is divided by 334?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = -55 + 129. Let v = 41 + -36. Suppose 0 = v*s + 7 - 22, 0 = 5*c + 3*s - u. What is the remainder when 49 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 - 7*t - 2. Let l be ((-84)\/(-30))\/(-7)*20 + 1. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 19809823 and -5.\nAnswer: 19809818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1720436*s**2 - 44*s + 1720368*s**2 + 91*s - 47*s.\nAnswer: -68*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**2 - 5*k - 3. Determine n(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2408211?\nAnswer: 3, 13, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = c + 7. Let w be a(-10). Sort 0, w, -2 in increasing order.\nAnswer: w, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*p - 61 = 59. Suppose 2*l = 3*y + 58012, -l - y = -p*y - 29016. What is l rounded to the nearest one thousand?\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45666?\nAnswer: 2, 3, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be -26 + 3 - -9 - (-5 + 3) - -15. Factor 0 - 8\/9*m - 2\/3*m**2 + 2\/9*m**y.\nAnswer: 2*m*(m - 4)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5503, 165, 5837, 11513, 17193?\nAnswer: 22877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8)\/4 - (-65)\/30 - 17228\/1416.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 293202408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.547 + 0.247. Let z = -688.95 + 710. Let v = -21 + z. Are o and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from xxxiigi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -7157\/7579?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + (0 + -3 + 10 + -21 - -2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 5*r + 6. Let g be k(10). Let x = -30 + g. Does 23 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 16) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 35176932587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 1533 = -1261. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 4 = -1. Suppose -4*y + 2*v = -8, y + 4*y - v = 16. Let a(n) = 11*n - 3. Let t(u) = 10*u - 2. Let z(s) = y*t(s) - 3*a(s). What is z(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -7*a - 23. Let o(b) = -3*b - 12. Let t(f) = 4*m(f) - 9*o(f). Give t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of -f**7\/3780 + f**6\/810 - f**5\/540 + 16*f**3\/3 - 8. Let y(n) be the third derivative of c(n). Factor y(u).\nAnswer: -2*u*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1303897*k**2 - 208240*k wrt k?\nAnswer: -2607794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 1584*j - 5 = 1581*j, -1 = -u - j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/3)*h)**(5\/6)*(h*h**(-1\/3))**(-1\/22)*((h*h**2)\/h*h**(-2\/5))\/(h\/h**(-5)*h\/(h\/h**3)*h) assuming h is positive.\nAnswer: h**(-8071\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 162532 is divided by 713?\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 39612108*l**3 - 978086*l**2 - 153*l wrt l.\nAnswer: 237672648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (53\/4)\/53*-14?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 z, and 1 h when three letters picked without replacement from {z: 1, x: 1, b: 6, e: 8, h: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((-19833)\/(-39666))\/((3\/(-68))\/(-3))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 411102481 to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 42 - 0?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -162 * -6.\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 3403 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 14*o**3 + 372*o**2 + 693*o + 2. Determine x(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*b**3 - 1134 + 1134.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5157*j - 5649 - 5658 + 11307 to the form g + d*j and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 241 + 758.\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 1307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -o**3 + 24*o**2 - o + 7. Does 57 divide y(23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15 + 0 - (-3 + -7 + (9 - -13 - 13)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**3 + u**2 - u - 1. Let q(i) = -i**2 + 1. Let j be q(0). Let p be g(j). Suppose p = -0*r + r. Solve r = a + 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = n + 33. Calculate l(0).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 24 + -18. Solve -d*m - 9 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is k in 4*k**2 - 423568*k + 1694208 = 0?\nAnswer: 4, 105888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 PM and 1:04 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -2122.9 + 2123.203. Is 0.19 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(-5\/8)\/((a\/a**(-18))\/a)*a*((a*a*a*a\/(a**(-2\/53)\/a)*a*a)\/a*a)\/a*a*a*a*a\/(a**(-10)*a*a)*a assuming a is positive.\nAnswer: a**(599\/424)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 222 - 225. What is the lowest common multiple of 11 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 55 + 33 = 0. Suppose -4*h + m + 142 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.08009 * -5.\nAnswer: -0.40045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be 11 - 11 - 23\/1. Which is bigger: -24 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1120000202022 (base 3) in base 15?\nAnswer: -11518e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (138\/(-46))\/(3\/(-51) + 0). Calculate the greatest common factor of 2091 and t.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/((450\/20)\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*u - 1594 + 881 - 1358 = 769 for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19 + -19.4. Let c = -4 - 1. Let x(a) = -a - 3. Let p be x(-6). What is the second smallest value in p, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*z = 1141 - 161. List the prime factors of (168\/z)\/((-1)\/185).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*k - 2*z + 1 + 1, k + 4*z - 14 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from {e: 2, r: 5, a: 1, x: 1, i: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is ((-37584)\/(-96))\/(1\/(-8)*-3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + o + 212 = 5*o, o = 3. Suppose i = 5*j - 15 - 5, 2*j = i + 5. Calculate the greatest common factor of j and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in -3\/7, 1\/4, -1\/3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*z + 33*z - 8525*z**3 + 7 + 8507*z**3 - 5 + 30*z + 2*z**2 to the form n + d*z**2 + g*z**3 + o*z and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-6155)\/4)\/(-1 - (0 - 15\/40))?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 28\/3, -1034, -3.95.\nAnswer: -1034, -3.95, 28\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 8.16*0.5\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3141*n + 370613. What is l(-118)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-6*5*(3 + sqrt(72) + 2))**2 - (5*(sqrt(72) + ((-1*sqrt(72))**2 - sqrt(72))) - (-2*sqrt(72) + -5))*2).\nAnswer: 269880*sqrt(2) + 432850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -10.1 + 5.1. Let i = 0.3 - -0.7. Which is the closest to i? (a) 3 (b) -4\/9 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -204, -161, -90, 9, 136?\n\"Answer: 14*t**2 + t - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z + 2. Let n(r) = 1. Suppose 3*h + 8 = -5*v, 0*h + 4*h + 5*v + 9 = 0. Let i be ((-1)\/2)\/((-1)\/4). Determine h*y(k) + i*n(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = 4*z - k - k, 2*z = 5*k + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qzzjqzjkjqwqqzkkjjqz. What is prob of sequence zzwj?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-26)\/(-7) - 4\/(-14). Suppose -65 = -q*b - 3*c, 0*c - 61 = -5*b + 3*c. Suppose -4*w + 70 = -b. Is 21 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*a - 69*a - 72*a)*(13 + 164 - 101)*(a**3 - 3*a**3 + a**3) to the form t*a + m*a**3 + z*a**2 + w + i*a**4 and give i.\nAnswer: 11096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 35 = -3*k, -3*k - 4 = 2*y - 38. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0*(1\/(-2))\/(-1). Let y = 126 - 128. Let a = h - y. Is 2 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - l**3 - 111*l + 5 + 1.\nAnswer: -l**3 - 111*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-396)\/(-88)*4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 63 and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*p**3*s + 8*p**3 + 8910*p**2 + 889326*p*s - p + 3*s wrt s.\nAnswer: 2*p**3 + 889326*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -334, -330, -326, -322?\n\"Answer: 4*o - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -0.2 >= -158472782?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -13*i - 3. Let q be w(3). Find the common denominator of 2*15\/36*(771\/(-150) + 7) and ((-3)\/4)\/(1\/q).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.3 + 0.1. Let k = -157 - -151. Is k at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 63, 79, 113, 171, 259, 383, 549, 763?\n\"Answer: l**3 + 3*l**2 + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1 - (-6)\/4)*6. Let f(p) = 2*p**2 + p + 1. Let o be f(-1). Find r such that 4*r**2 + o*r**3 - 2*r**3 + 10*r**n = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.8551768 to two dps.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1b5e (base 15) in base 9?\nAnswer: 8128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1414132412 (base 6) to base 12.\nAnswer: 5951108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3942652354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p = -570 + 602. Calculate the remainder when ((-62)\/3)\/((-3)\/9) is divided by p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(-1\/18)\/s)\/(s*(s\/s**7)\/s*s*s))\/((s**(5\/3)\/s)\/((s*s\/(s**(-2\/23)*s*s*s))\/s)) assuming s is positive.\nAnswer: s**(565\/414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 45\/(-75) - 4\/10. Is (-3040)\/(-2 - 0) + (-3)\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36.2 - -30. What is u rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -11, -41, 3 in decreasing order.\nAnswer: 3, -11, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 7, 20, 43, 82, 143, 232, 355?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 48238418*u**4 + u**2 - 483*u + 979?\nAnswer: 1157722032*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 12594930?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -9*j - 245. Let t be f(-29). Let u be 5\/(-2)*t\/(-40)*5. Factor g**2 + 0 + 0*g - g**4 - 1\/3*g**3 + 1\/3*g**u.\nAnswer: g**2*(g - 3)*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(5600) - (4*sqrt(5600) - sqrt(5600)))\/sqrt(8))**2.\nAnswer: 100800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (106\/371)\/(35\/(-49))*-4*4\/(-368).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {r: 1, t: 1, u: 1, v: 1, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 2700 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 377*x - 4915. Give j(13).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = r**3 - 10*r**2 + 11*r - 3. Suppose 15*u + 180 = 9*u. Let k be ((-2)\/5 + (-42)\/u)*9. Let w be o(k). Which is smaller: w or 16?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -2*q**2. Let o(b) = 74*b - 370. Let h(g) = 4 + 2 - 1 + 1 - 5. Let n(z) = -370*h(z) - o(z). What is n(y(m))?\nAnswer: 148*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 15 = -k. Let y(m) = 6*m + 10. Let a(v) = 7*v + 11. Let s(b) = k*a(b) - 6*y(b). Let x be s(-5). Solve -p - 3 = -x*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-1 + ((-1 + sqrt(833))*2 - (-6*(0 + sqrt(833)) + sqrt(833))))**2 + 1 + 5.\nAnswer: -294*sqrt(17) + 40836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 16 = 9, s - 3*g - 42 = 0. Suppose 2*x = -3*t - s, -2*x + 22 = 3*t - 7*t. Let i be (27\/(-3) + 2)\/(7\/t). Solve 5*r = i*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 163794 divided by 22\nAnswer: 81897\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*p + 4*p + 4*p)*(0 + 1 + 0) + 0 - 3*p + 2 + 5*p + 0*p - 9*p + 0*p to the form n + d*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -419*t + 1988 = -423*t. Let x = 849 + t. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 233456?\nAnswer: 2, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 12*g - 2. Let x(i) = i**2 + i + 12. What is the remainder when n(3) is divided by x(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 169*x + 95 - 1144*x - 29 + 977*x.\nAnswer: 2*x + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 9810 - 7189 = b, -2*d - 2*b = -34002. Round d to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 104035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 + 3*q + 6. Let g(u) = 3*u**2 - 8*u - 19. Let l(r) = 2*g(r) + 7*k(r). What is l(-3)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12975688 is divided by 637.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (23607\/(-41968))\/((-30)\/(-8))\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (606\/15)\/(54\/1485)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -125\/1159944 and -13\/9928?\nAnswer: 84675912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - s)*(0 + 11 + 0)*(-1 - 3 + 5)*(s - 2 + 2).\nAnswer: -11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -h + 2. Suppose 3*d - i + 1 = 13, 4 = d + 3*i. Let g(x) = -x + 3. Let p(c) = -c**2 + 4*c + 7. Let u be p(-2). What is d*g(y) + u*t(y)?\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1204 - 1197. Let v be -2 + (-1 - -24 - 0). What is the highest common factor of x and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2489\/290 + 246\/29. What is the nearest to -1\/3 in u, -2, 0.1, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -42994 bigger than -37829?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**3 - 6*o**2 - 6*o + 2. What is the units digit of v(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 10 = -3*d, -16*y - 337 = -d - 367 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 1436*o - 1. Let f(s) be the third derivative of s**5\/60 - 989*s**2 + 2*s - 2. Give f(a(n)).\nAnswer: 2062096*n**2 - 2872*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6683438 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 165 a factor of 2971414057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 404*o = 394*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4170 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 27 + 12. Suppose -2*q + d = -2*s + 1, q = 2*s - 1. Factor -12*z + 26*z**s + 16*z**3 - 27*z**3 + 3*z**2.\nAnswer: 3*z*(z + 1)*(5*z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 4*h + y, 2*h - 8 = -3*h - y. Let s be (-1 - h)\/12 + 100\/16. Suppose 18 = s*d - 6. Solve 0 = -5*r - f - 26, -7*f = r - d*f + 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1160 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -97242, -97243, -97244, -97245, -97246, -97247?\n\"Answer: -n - 97241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -c42 + -4d4?\nAnswer: -1116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 129077219 divided by 5612053.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 42 and 61796.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -76074, -152177, -228282, -304389, -380498?\nAnswer: -456609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 507 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 39653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 288\/20 - 4\/10. What is the first derivative of -k*p**4 + 2*p - 2*p + 22*p**4 + 2 wrt p?\nAnswer: 32*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/5, -15529.26, -23 in decreasing order.\nAnswer: -2\/5, -23, -15529.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2424, -9685, -21786, -38727, -60508, -87129?\nAnswer: -118590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 2*t**3 - 3*t + 1. Let l be 9\/4 + 1\/(-4). Calculate the remainder when 32 is divided by s(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = 8*p**2 + 4*p - 6. Let b(v) = 31*v**2 + 16*v - 25. Let u(i) = 2*b(i) - 9*t(i). Let y be u(4). Let z = 350 + y. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(3200) + 0)*-2 - sqrt(3200)) + sqrt(3200))**2 - sqrt(384)\/(sqrt(300)*-1).\nAnswer: 4*sqrt(2)\/5 + 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -26 + 30. Suppose 3*p + 51 = -o + w*o, -2*p = o - 5. Find the second derivative of 0*m - 8*m - 8*m - o*m**3 - 3*m**3 wrt m.\nAnswer: -96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from {k: 4, y: 3, v: 2, u: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/((-51)\/(-6)) + 40\/(-238)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 5*z**3 + 645*z**2 - 6260*z - 6900 = 0?\nAnswer: -138, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1199 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 57631 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4151*v - 4149*v = 132. Let m = -1 + 9. What is the smallest common multiple of v and m?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1394, -1437, -1570, -1841, -2298, -2989, -3962, -5265?\n\"Answer: -8*l**3 + 3*l**2 + 4*l - 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-60)\/(-42))\/(1\/(-7))*(-7)\/21?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 246629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.6, -6\/2677, -1 in increasing order.\nAnswer: -1, -6\/2677, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b be 23*-1*(-4 - -8 - 3). Let g = b - -26. Solve 0 = -g*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x - 1 = 3*j, -5*j - 5 = 10*x - 5*x. List the prime factors of 9085\/23 - (-4)\/x.\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1241 - -298343441\nAnswer: 298343441.1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 3318 divide 522604908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 1 = 2*v + 2*c, 0 = v + 2*c - 1. Let h(u) = -u**2 - 4*u + 5. Let q be h(-4). Let r = v + q. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*k + 76 - 36 = 2*n, -2*k - 9 = 8*n - 29 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jj when two letters picked without replacement from jnnnnjnnnj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 98*w + 57691. Determine d(-589).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1696, 1694, 1678, 1642, 1580?\nAnswer: 1486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 - (1 + -13) - (730 - 701)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 3256 = -d, -4*u = -d + 734 - 5087. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v**(1\/4))*v\/(v*(v*v**(-7))\/v))\/(v**(-2)\/v*v*v*v**6) assuming v is positive.\nAnswer: v**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -28*s + 14. Let d(n) = 3*n + 1 + 3*n - 8 + 7*n. Let q(r) = 13*d(r) + 6*z(r). Let u(g) be the third derivative of g**5\/60 - g**2. What is u(q(p))?\nAnswer: p**2 - 14*p + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 13, -16 in descending order.\nAnswer: 13, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -3*u + 1. Let v(x) = -20*x + 18*x + x + 0 + 0. Calculate -4*v(h) + y(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -19525 + 19525.0963. What is the second biggest value in 0.08, z, -3\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 415864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -72*c**4 - 59*c**3 + 337*c**2 + 28?\nAnswer: -1728*c - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -4*i**5 - 712*i**4 - 18764*i**3 + 1919512*i**2 + 66298368*i - 68198400 = 0.\nAnswer: -96, -37, 1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1365347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 8 and 2658826.\nAnswer: 10635304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 13*t + 1954 - 2045 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = i**2 + 7*i + 2. Let l be f(-7). Let a be l\/(-8) + (-966)\/(-24). Let s = 119 - a. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 7, u: 1, l: 4, j: 1, i: 2}. What is prob of picking 1 n and 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in three eighths of a minute?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 202 + -206. Let i be 58\/(-290)*26\/x. Which is greater: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(44) - (-5 + sqrt(22)\/sqrt(2) + sqrt(11) + sqrt(11)).\nAnswer: -sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -65, -13, 39?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 283616 and 5282348?\nAnswer: 42258784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 405 = -10*n. Calculate the highest common factor of n and 328.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2027124011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 171360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 21*d - 8*d - 195. Solve -24*p - 9 = d for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4 - 18\/(-4))*10. Suppose -5*g + 2*g - 155 = -m*j, j - 4*g - 14 = 0. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 3*j**2 - 83*j - 2055. List the prime factors of o(-45).\nAnswer: 3, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -36682 - -38442. Calculate the least common multiple of 3360 and l.\nAnswer: 36960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 divided by 37758.\nAnswer: 1\/6293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, x: 4, f: 1, n: 8, r: 2}. What is prob of sequence xp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -56*n + 33. Is i(-29) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 + (-2)\/(-8) + (-34)\/72. Let a = -21 - -21.3. Let j = -0.34 + -0.06. What is the nearest to -2\/5 in a, h, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 428400 divided by 3600.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -43*m + 4. Is v(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 181537 times -4\nAnswer: -726148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/17 in 31, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 556*b + 1371*b + 396*b + 162*b.\nAnswer: 2485*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 111078, 222177, 333276?\n\"Answer: 111099*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*o**4 + o**4 - 2*o**4 + 2*o**2 - 2*o**2 - 2*o**4 + 4*o**4 - 2*o**4 + 0*o**4 + (-2*o**3 - 2*o + 2*o)*(-2*o + 0*o + o) + o**3 + 2*o**4 - o**3.\nAnswer: 15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + (4 - (3 + -2 - 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 11 = -4*d, 39 = j + 5*d + 61 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 237*a = 243*a - 576. Is a a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -2*l**2 - 6*l - 14. Let r(w) = -2*w**2 + 1 + 3*w**2 - 2*w**2 - 4*w - 10. What is -8*r(f) + 5*t(f)?\nAnswer: -2*f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 276475 - -1361?\nAnswer: 277846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3 and 4296210.94255?\nAnswer: 4296207.94255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305980.\nAnswer: 2, 5, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -12, 3, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-seven quarters of a millennium?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(2 + -2 + 0 + 2 + (2*sqrt(304))**2 + -1).\nAnswer: -7302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -613 divided by -3887?\nAnswer: 613\/3887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 times -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 5*r = 5. Is 7\/4 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:51 AM and 11:18 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 38 divided by -5\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -18288*h + 3. Let u(d) = 8*d. What is a(u(v))?\nAnswer: -146304*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 979 divided by -5848\nAnswer: -979\/5848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 525 minutes after 9:55 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 76009 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 5*j, -6*l + 18 = -5*l - 5*j. Find d, given that -1\/4*d**l + 3\/4*d**2 - 3\/4 + 1\/4*d = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -6*k**3 + 3*k**2 + 3. Suppose 5*x - 72 = 17*x. Let p(r) = 13*r**3 - 7*r**2 - 7. What is x*p(o) - 14*f(o)?\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 10*p**2 + 25*p + 6796. What is the hundreds digit of a(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14879029000 rounded to the nearest 1000000?\nAnswer: 14879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.002 + 0.212. Let f = y - 0.11. Let p = 631\/1456 - 1\/208. Which is the nearest to f? (a) 0.3 (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*n**2 + 13*n**2 + 2*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 3*o - 21 = 0, -2*k + 3*k - 1 = -3*o. Let f(j) = -j**3 - 5*j**2 - 2*j - 5. Let c be f(k). Factor -3*b - b**3 - 2*b**2 + 4*b + c*b**2 - 3*b**4.\nAnswer: -b*(b - 1)*(b + 1)*(3*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34300 = -1329*d + 1339*d. What is the highest common divisor of d and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, j: 4, z: 3, s: 1}. What is prob of picking 1 s, 2 j, and 1 g?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1e2c8 - -4?\nAnswer: -1e2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -192 - -199. Suppose 0 = t*d - 3111 - 1908. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1399 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (186\/(-496))\/((-63)\/(-14)).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -3*c + 40. Let k = -152 + 172. Let t = k - c. Solve 0 = n - t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**0)**(2\/189))**(2\/25) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g - 5*g = 6. Let y be 8\/g*54\/18. Suppose -4*o = -5*s + 164, 4*o + 130 = 4*s + 2*o. Calculate the greatest common factor of s and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23*m**3 + 728543*m**2 + 9941815*m - 1 wrt m.\nAnswer: 138*m + 1457086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a - b - 2*b - 159 = 0, -4891829*b = -3*a - 4891835*b - 240 for a.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -3*o**2. Let z(t) be the second derivative of 17*t**4\/12 + 20*t. Determine y(z(g)).\nAnswer: -867*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 73606 = 4*j, -5*j + 4*l + 85149 + 6838 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -10111110010011010 (base 2) to base 5\nAnswer: -11104214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 10899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 5*v = -70, -2*k + 2708 = 4*v + 2712 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-226)\/684*2 - 68\/(-646). Put 0.3, -3, -1, y in decreasing order.\nAnswer: 0.3, y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6*10\/315)\/(30\/35)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2 - 460473*v - 460470.\nAnswer: -3*(v + 1)*(v + 153490)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-38*c + 12*c + 16*c)*(-c + c + c + (-4 - 1 + 2)*(-c + 4*c - 4*c) - c - c + c + 2*c + c - 5*c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 14*v + 1023. Give l(-75).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2)\/(-300))\/((-104)\/256*4))\/(878\/2195).\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 55 = -285. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -277\/6 or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -a**3 + 4*a**2 - 2*a - 4. Let w be l(4). Is (-624)\/(-14) + w\/(-28) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 + 2)*(-11*j - 5 + 5 - 8*j).\nAnswer: -76*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 13272 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1552678856 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: How many years are there in seventy-nine halves of a millennium?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14160 - 14165. Let m = 0.4 + 3.6. Sort 1\/12, h, -0.5, m in increasing order.\nAnswer: h, -0.5, 1\/12, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((21\/4)\/((-1029)\/(-504)))\/((-2)\/(-1))?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*v + 6*v**3 + 19*v + 0 + 0 + 17*v to the form o*v + i*v**3 + s + l*v**2 and give i.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/10 + (-2)\/(-5). Suppose 3*d + 3*l = -30, -4*l = 2*d - d + 4. Let s = 14 + d. Solve s*x - 8 = -a for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -11*v**2 - 349*v + 832. Determine n(-33).\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-d - 3 + 3)*(-2*d**2 + 4*d**3 + 2*d**2) - d**4 + 2*d**4 + 0*d**4 + 0*d**4 - 2*d**4 + 0*d**4)*(d - 3*d + 0*d).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -2*q**3 - 3*q**2 + 2*q - 1. Let o be j(-3). Let k(f) = 31 - 8*f - 6*f - o*f - 96. Is k(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 8817, 34945, 78371, 139095, 217117, 312437, 425055?\n\"Answer: 8649*c**2 + 181*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h, 1 a, 1 p, and 1 w when four letters picked without replacement from hpppapawpuhah?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 17*w + 239. Let c be n(-15). Let v(r) = -3*r + 298. Is v(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*c = 157 - 943. Does 20 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g**24*g**(-35)\/g*g**(21\/5)\/(g*g\/(g*g**(-21\/5)\/g)) assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 10) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5657323.\nAnswer: 7, 61, 13249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhxxxxuu. What is prob of sequence uhx?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/((-9)\/(-6)) + (-4304)\/(-269).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1468 (base 9) in base 8?\nAnswer: 2133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 379633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4181701579044 and -0.2?\nAnswer: 4181701579044.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1272 and 164?\nAnswer: 52152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b be (2 - 1)\/((-1)\/57*-3). Let q(z) = z**3 - 20*z**2 + 19*z + 4. Let f be q(b). Find the second derivative of 14*a**4 + 0*a + 6*a**f - 23*a wrt a.\nAnswer: 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 2*v = -12. Suppose -v = -x - x. Let h be 2 - 3 - (x + -12). Solve 4*a - h - 7 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7.729419 litres in millilitres?\nAnswer: 7729.419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 18 (b) 3 (c) 2 (d) -0.5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 154 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 2069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/3 greater than 18761432?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -11101010100011110110101 (base 2) to base 6.\nAnswer: -432423353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/2*-1 + (5 - 5). Let i(n) = -14*n - 1. Let l(s) = s + 2. Let a(x) = u*l(x) + i(x). Find the first derivative of a(v) wrt v.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-84 + 109)*364\/140?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of m**6\/120 + 7*m**5\/60 + m**4\/24 + 5*m**3\/3 - 29*m**2. Let v be c(-7). Solve v = 4*k + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 16754592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 50273335 is divided by 1836?\nAnswer: 1819","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 38\/1327609 and -53\/57434.\nAnswer: 34517834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 4, g: 6, c: 1, v: 2, b: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.36759 + -1.28585. What is r rounded to 2 dps?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.1 (c) 3\/5 (d) -2 (e) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 1201 = 11584. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1815 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: Is 3 a factor of 32641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - -802?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 2*q - 2792 + 2760 = 0, -16*g = 5*q + 101 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -55, -623, -1193, -1765?\n\"Answer: -l**2 - 565*l + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 443*b**3 - 266*b**2 wrt b.\nAnswer: 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r be 279\/21 - ((-280)\/49 - -6). Solve -r*o = -5*o - 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 104269436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 388950 is divided by 64823.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 128 + -128.47. Let q = -5.47 - m. Sort -1\/3, 4\/9, 0, q in ascending order.\nAnswer: q, -1\/3, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 412 - 427 + 7*p**3 + p**3 wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 245838.39 months in millennia?\nAnswer: 20.4865325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-106)\/(-3))\/((-8)\/108). Let d be p\/(-12) - 1\/(-4). Suppose o + o - 5*j = 37, -2*j - d = -5*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -94 (b) -31 (c) -1.5 (d) 2\/5 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 161869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as 5\/71691?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - q = -10, -5*k - 5*q = -47 + 17. Solve 2*a + 5 = -2*a - l, 2*a = -k*l - 20 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k**2 - 8249448*k - 8506674038088 = 0. Calculate k.\nAnswer: -2062362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from guussessuuuuuuu. What is prob of sequence su?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/6)\/((-2)\/6). Suppose -4*b + 28 = 4. Let d = b - p. Solve -d = w - 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2 + 3. Let o = 3633\/4 - 908. Which is the nearest to u? (a) -0.1 (b) o (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 + 7*y**2 - y + 7. Suppose 427 = -25*z - 36*z. What is h(z)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*o + 135 = 45*j, -3*o + 17 - 17 = -3*j + 30 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -81, -2\/15, -63\/10, 12\/17 in descending order.\nAnswer: 2, 12\/17, -2\/15, -63\/10, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -216036, -216080, -216122, -216162, -216200, -216236, -216270?\n\"Answer: z**2 - 47*z - 215990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(12\/(6*5\/20))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 5*w = -10, 0 = 5*w + 5. Let l(u) = -3*u**2 - 31*u - 9. Let c be l(-10). Sort -4, x, 0, c in descending order.\nAnswer: c, 0, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 12288 and 285.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 43909, 85632, 127355, 169078?\n\"Answer: 41723*j + 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -266, -1\/7, -3\/8, 0.2, 2\/3 in increasing order.\nAnswer: -266, -3\/8, -1\/7, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -10*t. Let h(w) = 2*w + 2*w - 5*w. Determine f(r) - 12*h(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 31588431 to the power of 1\/2, to the nearest integer?\nAnswer: 5620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 4*v = -6. Suppose 0*x + 1050 = 143*x + 7*x. What is the nearest to x in -4, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -3*g**3 - 19*g**2 - 16*g - 1. Let p(n) = 2*n**3 + 10*n**2 + 8*n. Let j(l) = 5*p(l) + 3*r(l). What is j(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 28 - 15. Suppose 0 = 13*j + b. Let r be 0 + ((-11)\/8 - -1). Are r and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-x - 3*x - x)*(12*x**2 - 108*x + 108*x) to g*x + p*x**3 + h*x**2 + l and give p.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 674435700 is divided by 112405948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -42 + 31 + (19 - 3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose f - 3*k + 8*k - 12 = 0, f - 12 = 3*k. Suppose -4*m + 4 = -f. Suppose 22 = m*w - 18. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4039)\/(-21926)*(-1 - 18\/(-14))\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 2:01 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/11, 1, 316?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 940 divide 4518788446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -0.48779?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2017549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 9, o: 11}. Give prob of sequence ooe.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 630584291?\nAnswer: 3253, 193847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 + 47. Let n = r - 1. Suppose 2*g - n*g + 3*q + 223 = 0, 5*q + 337 = 3*g. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 98*d**2. Let h(o) = 294776*o. Give x(h(i)).\nAnswer: 8515503237248*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3020748340?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 8:05 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1001223210220020 + 3?\nAnswer: -1001223210220011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add 684.5 and -3.\nAnswer: 681.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1339 - -1468. Suppose -3*a + g = -4*u, -10*u = -15*u + 5. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 10*p - 4*p - 6*p - p. Let y(q) = q**2. Give x(y(v)).\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/(-62)*(-6)\/(-48). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 2*n = 7*n + 5, l - 5*n + 3 = 0. Is l\/(-4) - 2\/4*-2019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -k, -2*b + 25 - 24 = k. Solve -5*r = 0, -8*y + 5 = -b*y + 4*r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 8:39 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/27 and 0\/(1\/1) + (-1290)\/(-3060).\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (526 - 526 + 38*w)*(0 + 3 - 2) + 18*w - 4 + 5 - 5 + 2 in the form l*w + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 1559.294t?\nAnswer: 1559294000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -2*y + 3. Let l be j(3). Which is smaller: l or -3\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-714*i - 60*i + 137*i - 231*i)*(4 - 6 + 3).\nAnswer: -868*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 4*m - 25 - m)*(0*m - m + 2*m).\nAnswer: 3*m**2 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*w - c + 11 = 0, 0 = 115*c + 117*c - 233*c - 1 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**2 + 28 - 39 - 9*v**2 + 11.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 396*j + 396*j + 15*j**2 in the form f*j**2 + y*j + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 509 - -2?\nAnswer: 50b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4410001 is divided by 980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1021000 + 12?\nAnswer: -1020211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e and 1 k when three letters picked without replacement from {q: 5, k: 4, e: 2, h: 8}.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1452, 1444, 1438, 1434?\nAnswer: 1432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -14425\/1998 - 5\/1998. Find the common denominator of h and -89\/5910.\nAnswer: 17730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -866 (b) -10 (c) 2\/5 (d) -2 (e) -7 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 57799.\nAnswer: 7, 23, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 195531001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12502, 12498, 12492, 12484, 12474, 12462?\nAnswer: 12448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/5 and -40\/260507.\nAnswer: 1302535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001011100011111 + 10000100011?\nAnswer: -1001001011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that 2*a**2 - 1604*a - 2050240 = 0.\nAnswer: -688, 1490","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-15)\/15*19\/(76\/136))\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 1 + 0)*(3*d - 2*d - 2*d) - 4*d + 7*d + 6*d)*(1 - 2*d - 7 + 3*d).\nAnswer: 11*d**2 - 66*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, h: 7, f: 2, i: 3, x: 1}. What is prob of sequence hx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6 + 2 - -4) + 7. Let i = 42 - a. Suppose -i - 10 = -3*k. Solve -l - 15 = 3*f, 0*f = -3*f - 3*l - k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3 + 23*(-3)\/21. What is the third smallest value in -3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24231245*-0.06.\nAnswer: -1453874.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 713254 (base 8) to base 6.\nAnswer: 5012444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -45*k**2 + 1272 - 688 - 622 in the form q*k**2 + a*k + s and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -10*k**4 + 5*k**3 - 5*k + 13. Let i(t) = -5*t**4 + 2*t**3 - 2*t + 6. Let x(q) = 5*i(q) - 2*v(q). Differentiate x(p) with respect to p.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -68 - -75. Suppose z*m + 15 + 13 = 0. Let d(f) = f**3 + 6*f**2 + 6*f + 4. Determine d(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 13, q: 3, v: 2}. Give prob of sequence bbbq.\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 2:50 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-81)\/(-18) - (-4)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -471.96006 - -471.9. Round k to three decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 3\/13948753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 12:49 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 2*u**2 + 10*u + 6. Give b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -55*t**4 - 860*t**3 - 4650*t**2 - 9500*t - 4375.\nAnswer: -5*(t + 5)**3*(11*t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 23 (b) -1 (c) -482\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a**2 + 1\/4*a**3 + 25\/4*a + 21\/2 = 0. Calculate a.\nAnswer: -1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -40*h**5 + h**2 - 5 - 51*h**4 - 191*h**2 - 60*h - 260*h**3 - 114*h**4.\nAnswer: -5*(h + 1)**4*(8*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k + 15. Let y be f(-13). Let d be y\/((9\/2)\/9). What is the greatest common divisor of d and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 648518713 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = 927985\/102 - 9097. What is the common denominator of f and 41\/17?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2964 divided by 4.\nAnswer: 741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 2*b - i - 12, 5*b - 2*i - 50 = 0. Calculate the highest common divisor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 869\nAnswer: 6\/869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x = 3*f - 3*x, 4*f = -4*x + 24. Let v = 304 - 302. Suppose 5*a - f = v. Which is smaller: a or -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**3 - 4*a**2 + 2*a. Let y = 3 - 1. Let w be x(y). Suppose 92 = w*d - 80. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 19392 divided by -2\nAnswer: -9696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -10*y**2 - 3*y + 664. Let g(o) = -24*o**2 - 8*o + 1330. What is 2*g(n) - 5*z(n)?\nAnswer: 2*n**2 - n - 660","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -k**2 + 6*k + 105. Let s be d(15). Let y = -21 + -10. Let w = s - y. Solve 2 = -c - w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(1872) + sqrt(1872) + (sqrt(1872) - (0 + sqrt(1872)))**2*6 - (sqrt(1872) - 2*sqrt(1872))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c*c**(2\/3)\/c)\/c)**(-48)*c**0*c*c**(-2\/3)*c*c)**(-3\/2) assuming c is positive.\nAnswer: c**(89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -141, 0.5, 0.9, 0 in increasing order.\nAnswer: -141, 0, 0.5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**3 + 24*v**2 + 24*v + 26. Determine u(-23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3515 (base 11) in base 8?\nAnswer: 11006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -138 - -242. Let l be i - 0\/(3 + 0). Calculate the greatest common factor of 26 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 269, 555, 843, 1133, 1425, 1719?\nAnswer: 2015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 267 a factor of 153705462?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, -84, -3, 5, -181 in increasing order.\nAnswer: -181, -84, -3, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1628 - -1974. Is b a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -485 = 17*x - 1981. Suppose -4*c = 2*u + 32, 3*c = -2*u - 2*u - 34. Let a be c\/(-4)*48\/9. What is the highest common factor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of -25*f**9\/168 - 9*f**5\/20 + 147*f**2. What is the third derivative of z(n) wrt n?\nAnswer: -9000*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 270281527 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -2, 2\/3, 2\/53?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(2448) + -2)**2 - (sqrt(612)*-3 + -1).\nAnswer: -14711 + 306*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -20 - -28. Let s be ((-3)\/(-4))\/(5 - m). Which is smaller: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 22 + -22.36. Let x = -2929 - -2928.94. Let z = x - r. Which is the nearest to 3? (a) -2\/15 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9733*y = 9741*y + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -84*c - 65*c - 89*c + 233*c.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/r**29)**45)**(-1\/21))**(-19) assuming r is positive.\nAnswer: r**(-1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -31 - 53 + 39*z**4 - 45*z**4 wrt z?\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 0*k**2 - 5*k**2 + 3*k**2. Let t(v) = 3*v**2. Give t(m(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is one ninth of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aat when three letters picked without replacement from aatcata?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -2*x**2 + 3*x**2 - 3*x**2. Let s(r) = 2*r**2. Determine s(t(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -16 (c) 4 (d) 8\/13 (e) 70 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3762561*g - 17461 - 162914 = 3764186*g for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 82 + -127. Let j = u + 41. Which is the second smallest value? (a) 0.1 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -87 - 5 + 14*w**2 - 61 - 40*w**2 - 3 to the form d*w + b + v*w**2 and give b.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = -62 - -62. Solve -4*r - r + 25 = i for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 549 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 3*a = 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(209)*5)\/(sqrt(11) - sqrt(396)*-1).\nAnswer: -10*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -54169540 divided by 4\nAnswer: -13542385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express (-l**4 + 5*l**4 + 16*l**4)*((-7 + 6 + 16)*(-1 + 0 + 0) - 3 + 3 - 4) + (-2*l**3 + 1 - 1)*(-3 + 2*l + 3) as r*l**2 + o*l + d*l**3 + i*l**4 + m and give i.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -662 + 2055 - 681 - 689 + 2*k. What is n(-18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -266 + 62. Suppose -131 + n = -5*v. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the first derivative of u**2 + 7*u - 14. Let a be 56\/6 + (-4)\/(-6). Suppose a = -3*s - 8. Determine l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**3 - 191*q**2 + 57*q + 10894. Give d(-191).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c**2. Let h(f) be the second derivative of -f**6\/90 + f**4\/8 - 37*f**3\/6 - 33*f. Let v(k) be the second derivative of h(k). Determine q(v(o)).\nAnswer: -32*o**4 + 48*o**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 168 = -11*p + 15*p. Let v be 0 - (-123)\/(-5) - (-4)\/(-10). What is the remainder when p is divided by -3 - (v\/(-2))\/((-1)\/2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/231808 and 73\/6?\nAnswer: 695424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*p - 11*p - 293. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -30 = 3*x + 3*j, -2*x - 2*j + 15 = -7*j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of i**6\/120 - i**5\/30 + i**4\/12 - i**3\/3 + i**2. Suppose -18 = -q - q + 4*p, -p = 2*q - 3. Is 12 a factor of w(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:07 PM and 11:01 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 30 - 21. Suppose 0 = -p - 2*x + w + 5, 5*p - 42 = 4*x. Suppose 2*y = -0*y + p. Let r(z) = -z**2 + 5*z + 2. Calculate r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 35, -168, -383, -616, -873, -1160, -1483, -1848?\n\"Answer: -s**3 - 196*s + 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 14173170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -16, -1, 16, -1\/6, -0.35?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 21*u**2 - 402*u + 38. Give g(19).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j + 164*p - 166*p + 26 = 0, 0 = 2*j - 4*p - 8 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (37\/(703\/171))\/(2*-2)*(-300)\/9.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 21467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15226 is divided by 2782?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 - -6. Let x = 20 - l. Let m be x\/6*18\/12. Solve -m*u + 3*u = -5 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8571.386 + 8564. Let x = -0.21 + 7.51. Let t = x + y. Round t to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 80, 102, 140, 200, 288, 410, 572?\n\"Answer: v**3 + 2*v**2 + 9*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -2*x**2. Let j(t) be the first derivative of 4*t**3\/3 + 2*t**2 - 86. Calculate j(c(a)).\nAnswer: 16*a**4 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -670*w**3 - 9*w**2 - 10*w - 10. Is z(-2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3063*u**2 + 11*u + 125?\nAnswer: -6126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 388*g + 446*g + 0.\nAnswer: 834*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 67263\/16312 + 3\/2039. What is the common denominator of q and -121\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, m: 1, w: 1, g: 3, d: 1}. What is prob of picking 1 w, 1 m, and 1 d?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 28b0a01 (base 12) to base 7\nAnswer: 126426565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 2, 1\/2, 1, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2926804900 + -0.47.\nAnswer: -2926804900.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x = -414 - -416. Solve -3*q - 20 = 4*r, 5*q = -x*r + 3*q - 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence br when two letters picked without replacement from wrbbbrbrbrrrr.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 17850 and 2082?\nAnswer: 6193950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -9 - 3 + 4*c**2 - c**2 + 6. Determine i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and 21543618.\nAnswer: 8617447.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.42, -0.44, 2, 0.7, 135?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q + 1. Let n(j) = -5*j - 3. Let s(i) = n(i) + 3*v(i). Let z(h) = 7*h - 2*h + 0*h. Calculate z(s(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q. Let b be 7\/(-1) + (-18)\/3. Let j(y) = 29*y**2 - y - 6. Let t(u) = 59*u**2 - 2*u - 13. Let c(d) = b*j(d) + 6*t(d). Calculate c(n(a)).\nAnswer: -23*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/28 and 5\/511.\nAnswer: 2044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 145669762?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**3 - 1 - 22615*r + 45*r**2 + 22620*r - 45*r**2. Calculate m(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 h when three letters picked without replacement from yyaahghaaanya.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 3*a**2 - 3*a**2 + 2*a**2. Let u be (-4)\/(4 + -2)*-1. Let b(f) = u*f**2 - 46 + 46. Calculate j(b(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -21 - -22. Which is the closest to 1? (a) 12 (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2448?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(153)*4 - sqrt(153)) + sqrt(153))*-5)\/(-2*(sqrt(441) + (1*sqrt(441) + sqrt(441) - sqrt(441))) + sqrt(441)).\nAnswer: 40*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v = 6*l - 105, -878141*l + 2*v = -878142*l + 25 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 - 105*g**2 + 1652*g - 1650. Give x(-119).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -641764.00029 - -641767. Let l = x + -3. Round l to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = n**3 + n**2 + n + 2. Let a be b(0). Factor 1 + u**3 + 4*u**3 + 5*u**2 - 7*u + a*u**3 - 6*u**4.\nAnswer: -(u - 1)**2*(u + 1)*(6*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence scsz when four letters picked without replacement from szszszczzsszc.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60249 and 3809579.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**3 - 5*g**2 + 11. What is b(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-17 - (-3)\/3*2)*256\/(-160).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-23 + 2)\/(-3) + -3. Let j be ((-716)\/(-16))\/((-1)\/(-8)). Suppose q*t - 6*t = -j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.01802327 and -3.02?\nAnswer: 3.03802327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express d**2 - d**2 - d**3 + (0 + 2*d + 0)*(40*d**2 - 2*d**2 - 10*d**2) - 11*d + 81*d**3 - 91*d**3 - 2*d**2 + 13*d - 1 as z*d**2 + f + s*d + v*d**3 and give v.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -361, -783, -1317, -2017, -2937, -4131?\nAnswer: -5653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*x - 4*x + 12*c + 87 = 139, 0 = 3*x - 3*c - 3 - 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7 equal to 201\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + 3*v = 3, -3*v - 1 = -4*q - 8*v. Suppose -2*k - 4*h = -k + 2, -q*k - 5*h = -3. Suppose k*r - 97 = -5. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.9063569mg to micrograms.\nAnswer: 906.3569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*t - 9*t + 10322 + 5*t.\nAnswer: -20*t + 10322","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the second derivative of -o**4\/12 - 602*o. Let c(g) = -406*g. Calculate n(c(w)).\nAnswer: -164836*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kcklckcklckcl. Give prob of picking 2 c.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2, 0.1, 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -17.1.\nAnswer: 3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9.675 - 9.675. What is the third smallest value in -3, h, 1, 0.3, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3491 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 1:43 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.13 - 0.03. Put x, -1, -11 in decreasing order.\nAnswer: x, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 5.248005 times -0.3\nAnswer: -1.5744015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**2 + 8*h - 13. Determine w(11).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of 31*q + 11\/2*q**3 + 0*q**2 + 0. Let z(h) = -h. What is z(v(d))?\nAnswer: -33*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/6*-10*(-117)\/130.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of 37*s**5\/5 - 17*s**4\/4 - s**3\/3 - s**2 + 762*s. What is the second derivative of i(a) wrt a?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 3 b when four letters picked without replacement from {k: 2, b: 11}.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -10419002*g**4 - 10307431 wrt g?\nAnswer: -41676008*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4403 and 372997?\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6568.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(0 + sqrt(432))*-5 + -3 + sqrt(432)*-2 + (sqrt(432) + 0 - sqrt(432)) + 4 + sqrt(432))**2.\nAnswer: -384*sqrt(3) + 110593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (2\/((-4)\/(-3)))\/((-339)\/113)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81612.\nAnswer: 2, 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of -h**3\/6 - h**2 + 16*h. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.48 + -1.52. Let z = -0.5 - 0. Let h = z - -0.5. What is the nearest to h in -1, -0.4, c?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -2*c**3 - 32*c**2 - 2*c - 7. Suppose -34*k + 32*k + 80 = -4*s, 2*s + 2*k = -16. What is b(s)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14526443 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 575 = 30*q - 55. Calculate the highest common divisor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1614149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 3*f - 11. Suppose 5*o + 5 = -5*k, o + 0*o - k - 9 = 0. Let m be s(o). Solve 5*i - 11 = -m for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 5187 and 2717?\nAnswer: 57057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - 64\/(-60)*3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 357943039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 5, y: 2, a: 6, k: 1, c: 1}. What is prob of sequence kuca?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1156, -1350, -1546, -1744, -1944, -2146?\n\"Answer: -k**2 - 191*k - 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - 10) + 18 + -12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = 147 - 155. Let c be (-7)\/14*t*-8. Are 3 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*x + 9 = 57. What are the prime factors of (x\/10)\/((-4)\/(-20))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 2*d + 7. Give w(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*l - 30, -7*l = -5*n - 89 + 55 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u\/u**(23\/4)))**0\/(u**(-15)\/(u*u*u\/(u**(2\/63)*u)*u)) assuming u is positive.\nAnswer: u**(1132\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -o**3 - 2*o**2 + o - 81. Give w(0).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 5*y**2 - 2*y + 1. Let v be i(2). Suppose -32 + v = -3*x. Suppose x*m - 600232 = 254768. What is m rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 0.6780046 micrometers?\nAnswer: 0.0000006780046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4051 is divided by 203.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 923 and 1251233.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 - 5*k + 1. Let g(q) = -7*q - 100. Let c(y) = 5*y + 70. Let m(b) = 10*c(b) + 7*g(b). Calculate h(u) + 4*m(u).\nAnswer: -u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.36 - -0.36. Which is the smallest value? (a) 33 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -12 + -35 + (-17 - -47)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 3565849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -149\/24 and 23\/3*(-6)\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -5*b - 1748, b + 0*u - 4*u + 346 = 0. Let f = b - -507. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*v - 153 = 19*v + 6*l - l - 53, 4*l - 8*l = 64 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1000332 - -1033?\nAnswer: -333233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 7, l: 2, x: 6}. What is prob of sequence xx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2666659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -6, 2*t - 3*g = -2*g + 22. What is the units digit of 5\/t + 11\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes before 2:14 PM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 0.02, 9, -2, 0.14, 1, 6, 5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 47 (base 12) in base 3?\nAnswer: 2001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -507193 - -68?\nAnswer: -507125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 386*d + 122*d**2 - 386*d + (3*d + d - 5*d)*(-d + 3*d - d) + 7*d**2 + 1292 - 1292.\nAnswer: 128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 23 = -d - 8, 3*l - 16 = 4*d. What is the first derivative of -l*v**4 - v**3 + v**3 + 0 + 10 wrt v?\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the third derivative of -h**8\/560 - 11*h**4\/24 + 13*h**3\/3 - 4*h**2. Let j(b) be the first derivative of k(b). Differentiate j(d) with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.35367785 rounded to four dps?\nAnswer: 0.3537","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*f**4 - 2*f**5 + 3*f**4)*(1 + 1 + 1) + (3*f**4 + 0*f**4 - 2*f**4)*(f + 1 - 1).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -5*z**3 + 6*z**2 + 10*z - 11. Let n(m) = -4*m**3 - 645 + 6*m**3 + 643 + m**2 + 2*m - 3*m**3. Determine 11*n(l) - 2*q(l).\nAnswer: -l**3 - l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1875.279865916 - 1.25.\nAnswer: -1876.529865916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1862)*-1*4*-1)\/((sqrt(1134) + sqrt(1134)*2)\/(sqrt(70)\/(-1*sqrt(10)))).\nAnswer: -28*sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - 2 - (-6)\/1. Let r be (0 - l)\/(0 + 1). Let t be 2\/(-10) + (-76)\/r. What is the greatest common factor of t and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-1)*0\/(-35).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -54*z + 165. Let h be l(3). Which is the third biggest value? (a) h (b) -2\/45 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*s - 68 + 979 - 31 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 782599?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.134 - -0.034. Put -7, -0.4, s in descending order.\nAnswer: s, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 110203 + -110?\nAnswer: 110033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34287.\nAnswer: 3, 11, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -327838446 divided by -234\nAnswer: 1401019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-12)*(-4)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2096*l*o**3 + l*o - 2404*l - 2*o**4 + 2*o**2 - 3 wrt o?\nAnswer: 12576*l*o - 24*o**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pcv when three letters picked without replacement from jpcypvkk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 8:27 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -65, -129, -179, -209, -213, -185, -119?\n\"Answer: w**3 + w**2 - 74*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -3\/4 (c) 24.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 + t. Let m(k) = -5*k**2 + k - 3. Let l be (-4 - -6)*2\/(-4). Let a(r) = l*m(r) - 4*o(r). Calculate the remainder when 8 is divided by a(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 20344584 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-3))\/(5*6\/(-270))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1 + 13103325?\nAnswer: 13103324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 34*c**2. Let s(b) be the first derivative of 3*b**2 - 296. What is s(d(a))?\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract 419 from -99.30117.\nAnswer: -518.30117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 AM and 11:35 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -a + 24 - 6, -3*v = 18. Calculate the remainder when 6263 is divided by a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 5*i - 485, -5*l - i = -6*i - 445. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/((b\/((b**(-3)*b)\/b))\/b)*b*b**(-1\/23))\/(b*b**3*b*b*b)**(5\/8) assuming b is positive.\nAnswer: b**(-997\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-210)\/56)\/(1 - 21\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -208, -397, -590, -787, -988, -1193?\nAnswer: -1402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 67*t**2 + 1 + 52*t**2 - 120*t**2 + 2*t to p + q*t + l*t**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/8 - -2*441\/168.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -n**3 - 71*n**2 + 5. Let f(t) = -t**3 - 71*t**2 + 6. Determine -5*f(v) + 6*u(v).\nAnswer: -v**3 - 71*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = -21122.942 + 21097. Let d = 73 - 72.942. Let m = f - d. Which is smaller: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4 + 3.8. Let n = 0.03 + -0.13. Which is the closest to n? (a) 2 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 3 v when four letters picked without replacement from nvvvvvvvvvvv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -256*f - 8841 - 4419 = 628*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 10029*p**2*v**2 + 2*p**2*v - 4*p**2 + 559*p - 281*v**2 wrt p.\nAnswer: 20058*v**2 + 4*v - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**3 + 7*r**2 - 10*r. Give n(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**3 - 7*t**2 - 8*t + 4. Let a be k(8). Suppose g + a = -g. Let n = g + 7. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3.3, 0.2, 1\/14, 12.3?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25\/((-10500)\/(-1344)))\/(4\/(-5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -d7 - -1d134?\nAnswer: 1d05d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -2*b**2 + 225*b + 41696. What is d(212)?\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 400 - 396.11. Let z = i - -1.11. Which is the nearest to 6? (a) -5 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from azggagzzagz.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 41915 or 41932?\nAnswer: 41932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = v + 2*v - 4*s, -4*v + 2*s = -16. Let d be 2 + 5 + v\/(-2). What is the second derivative of -1 + 5*y**d - 4*y**4 - 2*y + 1 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 - 6*j**2 + 6*j + 7. Let w be r(-7). Let s(a) = -a**2 + 14*a + 1. Let l be s(w). Suppose -6*q + 40 = -q. What is the smallest value in q, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/(2600\/105)*(-15)\/42\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 14\/25 and 30\/1697.\nAnswer: 42425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -9\/16 (b) 17 (c) 40 (d) -0.4 (e) 4 (f) 3\/7 (g) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**2 + 17*j + 10. Suppose -1 = 2*q - 39. Let o = q - 9. Is r(o) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 445*p = 2*n + 440*p + 38, -3*n - 21 = -3*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dxddxxxx.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the third derivative of u**4\/24 - u**3\/2 - 71*u**2. Suppose -6 = 2*o - 0*o. What is b(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/(-15))\/(((-5)\/(525\/(-7)))\/1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*w = -68 - 4. Suppose n - w*j + 2 = 11, -3 = -n + j. Let n + 3\/5*z**3 - 6\/5*z + 3\/5*z**2 = 0. Calculate z.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -0.03 (c) -0.008058\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4*-1*(1 + 0). Suppose -11 - 5 = -a*f. What is the second derivative of -j - 2*j**4 + 0*j + f*j**4 wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23\/3 of a hour in seconds?\nAnswer: 27600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*p - 96 = -3*p. Suppose p*l - 11 - 21 = 0. Let o be (-80)\/(-42) - l\/(-42). Solve y = -o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -179127 + 50.\nAnswer: -179077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b**2 + 2*b + 9. What is m(-3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 82999 - 28761. List the prime factors of u.\nAnswer: 2, 47, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -2*h - 11. What are the prime factors of c(-14)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 - h**2 + 39*h + 104. Calculate d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of r**6\/96 - r**5\/48 - 25*r**4\/96 - 5*r**3\/8 - 323*r**2. Suppose k(u) = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**3 + 67*v**2 - 1723*v - 122556. What is f(-64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*j - 0*j + 15. Suppose 0 = c - j*i - 95, 3*c - 215 = 2*i + 135. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1110488?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*l + 640*l = 14872 + 7676 + 11044 for l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -346*a**2 - 76*a + 356. Determine b(3).\nAnswer: -2986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**2 - 10*p + 24. Determine a(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -5750073 smaller than -5750074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 8829 divided by -81\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8*i**3 - 6*i + i + 3*i)*(18*i - 15*i + 10*i) to the form q*i**4 + w*i + l*i**3 + o*i**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes after 6:26 AM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrexrrhefrfrrmx. Give prob of picking 1 r and 1 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 1. Let f(x) = 8*x**3 + 3*x**2 + 3. Let h(k) = 21*k**3 + 6*k**2 + 6. Let d(v) = -7*f(v) + 3*h(v). Calculate -d(n) + 5*w(n).\nAnswer: -7*n**3 - 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -121.9893*20\nAnswer: -2439.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 6:53 AM?\nAnswer: 8:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 3 (b) 0 (c) -1.1 (d) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 541257352?\nAnswer: 2, 67657169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 y when two letters picked without replacement from ylfifiijiwlllf?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -713*n + 232*n**2 + 713*n + 4*n**3.\nAnswer: 4*n**2*(n + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 49, 129, 271, 481, 765?\nAnswer: 1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/12 - 23\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 1 h, and 1 p when three letters picked without replacement from {z: 3, h: 6, c: 1, p: 5}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 315, 4915.\nAnswer: 0, 315, 4915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**3 + 54*w**2 - 20*w + 193. Let b be f(47). Let y = b + -7481. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2527\/16 + -158. Is d != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 1\/9 - (-60059)\/4959?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11597656 and 392.\nAnswer: 81183592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1595984.\nAnswer: 2, 13, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)*1*-1 + sqrt(48)\/sqrt(16))\/(sqrt(192)\/(sqrt(32)\/sqrt(4))).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 4807054862 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 4964733934 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 3 + 3 + (0 + 1 + 0)*(1 - 2 - 1) + 1 + 1 + 0 + 1 + 5 + 3)*(-25*j - 70*j + 18*j).\nAnswer: -616*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 531 by -63052.\nAnswer: -531\/63052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 - 3. Let a be i\/(-18) + 114\/27. Solve -a*z - 21 = -1 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, -3, -2, -4, 9, -8 in ascending order.\nAnswer: -8, -4, -3, -2, 0, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be 56\/112*2*359. Let b = -355 + s. Is 9 at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 191934481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 7, b: 2, p: 1}. Give prob of sequence gbb.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 24*b**2 + 26*b - 13. Let a be h(25). Suppose 0 = -a*x + 163 - 31. What are the prime factors of (x*-1)\/(5\/(-20))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -429\/3191 + -26387\/2106060. What is the common denominator of -111\/50 and b?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -y**2 + 11014 - 2549*y**3 - 11014 + y**2.\nAnswer: -2549*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together -2415909950 and 2.59.\nAnswer: -2415909947.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 280 divide 31304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -131 - -1?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 56 and 599816?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -225421, -225909, -226399, -226891, -227385, -227881, -228379?\nAnswer: -228879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03 less than -370055?\nAnswer: -370054.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3)\/(-1 - 5)*-2. Let n = 5 + b. Solve -5*c - n = -h, 3*c - 2*h + 1 = -0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -55 - 16?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 9166397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve d + y = 1, 2*d + 15 + 4 = 5*y for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/(p*p\/((p**19\/p)\/p)*p)*p*p\/p**(-1\/2)*p*p**(-4\/17)*p\/(p\/((p**(-15)\/p)\/p)) assuming p is positive.\nAnswer: p**(43\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -r**2 - 9*r - 3. Let i be s(-8). Suppose 7*z - 3*z - 11 = i*y, z + 1 = 0. Which is the closest to y? (a) -4 (b) -0.1 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1910, -3524, -5138, -6752?\nAnswer: -8366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 96 divided by -3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6.55 + -2.5. Let t = q + -0.05. Suppose -7 = d - 2*x, 2*x - 9 = 2*d - 3. Which is the nearest to -0.2? (a) d (b) 2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -5*(-11)\/(22\/10). Solve 4*y + 0*z + 15 = 3*z, -4*y + 5*z = t for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 m when two letters picked without replacement from mvxxxmxgyyguguumgv?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3209 - 256739\/80. Let d = a - -7\/16. Let l be 172\/(-215) - 21\/(-45). Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*i**3 + 4*i**3 - i**3 + 3 - 3 + i**3 + (-2 + 2*i + 2)*(-i**2 - 2 + 2) + i**3 - i**3 - i**3 + (-11*i**2 - 96*i + 96*i)*(2 - 2 - i).\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 10*i**2 + 59*i - 14. Let l be m(-7). Find the common denominator of 4 - 2 - 455\/l and -79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 17 - (-46 + 129 + -34)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/526 in 1\/4, 4.38, 0.4, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 12443969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.069 - 0.0875. Let f = i - -0.018500219. Round f to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 - (-21)\/3 - 5. Suppose -3*r - 4*h + 1 = 0, -5*r = h + l - 14. Solve r*o = -o + 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t. Let y = 4 - 0. Suppose s + 2*s = y*s. Let b(l) = s*l + 0*l + 5*l. What is b(x(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -z**2 + 0*z**2 + 3*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10560787 is divided by 107.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -2203 (base 6) in base 12?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 422035?\nAnswer: 5, 84407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c + 0*c = 5*r + 25, -5*r + 2 = 4*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000373836529 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1813537 divided by 2\nAnswer: -1813537\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u**2 + 0 + 0)*(-980 - 2241 + 900).\nAnswer: 4642*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.21 or 2\/32633?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 23 + -14. Let w(g) = 10 + 0*g - g + 4*g + 9*g. Is w(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 627113948?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1*7*304\/532?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4500 and 6669000.\nAnswer: 6669000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**2 + 120*y + 720 + 135*y - 255*y - 359 - 361.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = 4*q + 71. Let s be (-16)\/154 + q\/(-77). What is the third biggest value in s, 5, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, 17\/27, 3 in decreasing order.\nAnswer: 3, 2, 17\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.06 in -0.4, 69, -1159?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 40*i**2 + 16*i + 5. Let b be r(-4). Suppose -11*j + 475 + b = 0. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38 - 2451 = 1256*v - 40093 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*r - 1 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 8770.844 tonnes?\nAnswer: 8770844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -104*l - 206. Let d be g(-5). Suppose -5*f - 2*q = -1156 - d, -3*q = -3*f + 882. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -31943 (base 14) to base 12\nAnswer: -59407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 797, 609, 107, -865, -2463, -4843, -8161, -12573?\n\"Answer: -26*p**3 - p**2 - 3*p + 827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -5\/3, 1.2, -2, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 11\/90 + 2\/45. Let o(w) be the second derivative of 0 + 1\/3*w**3 - 1\/10*w**5 + w**2 - m*w**4 - 3*w. Factor o(i).\nAnswer: -2*(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -3132 and -27.\nAnswer: -3159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 divided by -8294.\nAnswer: -25\/8294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 20 = 0, -3*f + 36 = 4*u + f. What is the tens digit of 1\/(u\/157) - (-21)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x + 3*x + 164 - 381 + 134 + 5*x. Let p be t(8). Let f(h) = h**2 + 2*h - 4. Determine f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -0*j - 4. Let q be (6\/4)\/((-2)\/(-4)). Factor q*r**3 - j*r**3 - 2*r + 2*r + r**4 - 2*r**5.\nAnswer: -r**3*(r - 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 - -10. Let t(g) = -4*g + 13. Let k be t(6). Let o be (-8 - -4) + k\/(-3). What is the third smallest value in o, 2\/11, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-70)\/(-50) + 6\/10. Suppose 2*w + 4*w = -p*w. What is f in 0 + w*f + 5\/3*f**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*r + 7 = -11*r. Suppose 9*c = -7 + r. Suppose -2*t + 30 + 120 = c. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 68130253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 97*o**3*r + 6*o**2 + 3*o*r + 7*o wrt o.\nAnswer: 582*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 384385\/11 - 34944. What is the third smallest value in -1\/3, l, -17\/30?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0 - -4)\/((2050\/246)\/((-5)\/(-4))). Factor -12\/5*r - 3 + v*r**2.\nAnswer: 3*(r - 5)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 244144 and 1256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mce when three letters picked without replacement from {e: 6, u: 3, s: 5, m: 2, c: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 5099041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, -4, -0.4, 1627?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -3*t - 7. Let s(v) = -6*v - 15. Suppose -8*q = -12*q - 24. Calculate q*s(y) + 13*w(y).\nAnswer: -3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 3 + 4)*(-13*v - 27*v - 55*v).\nAnswer: -285*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from fhhyyhyhfdyhfyhh.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Add 49.5 and 36965.651.\nAnswer: 37015.151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be -10 - (1 + 0 - -2). Let s = 17 + i. Suppose 0 = 2*w - 4*c - 0*c - 10200004, s*w = -3*c + 20399997. What is w rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 99 and 63?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-150)\/20)\/(6\/(-544)). Is 61519000\/x - 2\/17 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(0 + sqrt(108) - (sqrt(3) + -1*sqrt(3) + -1)).\nAnswer: 2 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a + 4 = -16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2234 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 552\/(-15) - ((-1)\/(-5) + 0). Let d = 35 + k. Let i be -2 - -4 - d\/2. Let z(p) = p**3 - 3*p**2 - 4*p + 3. Give z(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -182.5 minus 9945.76?\nAnswer: -10128.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -423451*q**4 - 2*q**3 - 3*q**2 + 1572369*q wrt q.\nAnswer: -10162824*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4\/6091 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(45\/(-21))*12\/(-154)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 30 = 2*f, -19*c = 3*f - 15*c - 80. Calculate the least common multiple of 140 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.5144286 decades?\nAnswer: 0.05144286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87119 is divided by 675?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**5 - 5*w**4 - 3*w**3 + 15*w**2 + 10*w - 10. Let s be 3 + -2 + -3 - 0. Let f(n) = n**2 + n + 1. Let l(z) = s*f(z) + b(z). Solve l(q) = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -43 - -1546?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 + 3*q. Let c be r(-4). Suppose 3*o - 195 = c*o. Let n = -124 - o. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.779164 millimeters to meters.\nAnswer: 0.008779164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, g: 1, e: 3, m: 4}. Give prob of sequence eeem.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(-27))\/((121\/(-99))\/(77\/(-42)))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48.4 minus -1.26?\nAnswer: 49.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*f + 24 = -6*f. Let p = 36265\/22 + -1648. Calculate the common denominator of p and 24\/(-3) + f - (-97)\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 3\/4 (b) -799.15 (c) -14 (d) 2\/9 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/10)\/(9\/(-6))*33. Solve 3*t = 2*r + 17, -r + d*t - 8*t - 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3167\/5 or 0.1513?\nAnswer: 3167\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -82, -192, -318, -454, -594?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s - 2*r = -1, s + 34*r = 32*r - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 644 minutes before 11:29 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence znv when three letters picked without replacement from {z: 2, v: 1, n: 11, q: 1, m: 1}?\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 132050 is divided by 32983.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 210 and 8?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 5*v - 1602 = -7*w, -4 = -2*v. Let l = w - 4431\/11. Which is greater: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -4 + 3*q + 4. Let n(t) be the third derivative of t**4\/4 + 3*t**2. Give 4*n(i) - 9*p(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 21.4 + 2.6. Let w = n + -24.0011. What is w rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -19837256 + 22042139.\nAnswer: 2204883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 94.70828 millilitres to litres.\nAnswer: 0.09470828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 4 + 3)*(-2*j + 0*j + j) + (4 - 17 - 1)*(-2 + j + 2).\nAnswer: -16*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 + 1.7561.\nAnswer: -2.2439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f - 83. Let d(u) = -13*u**2 - 3*u - 3. Let b(p) = 60*p**2 + 14*p + 14. Let h(j) = 3*b(j) + 14*d(j). Determine t(h(l)).\nAnswer: -2*l**2 - 83","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 3*o = 2*o - 16, 2*t + 2*o = 8. Suppose 5*h = t*h + 5. Suppose -4*k = -h*k + 32. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 524 minutes before 11:05 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -55 + 12 - (30 - 74).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 120985, 3, 10?\nAnswer: 120985","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -481, -582, -627, -610, -525, -366?\n\"Answer: m**3 + 22*m**2 - 174*m - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2*p - 4*p + 4*p)*(4 - 3 + 0) + p + 0*p - 2*p)*(99*p + 5291*p - 2146*p) to d*p**2 + a + j*p and give d.\nAnswer: 3244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32 and 376?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of 2\/3*c**6 + 10*c**2 - 8\/3*c**3 - 4\/5*c**5 - 6*c**4 + 25 + 12*c. Factor f(n).\nAnswer: 4*(n - 3)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2370 divided by 2?\nAnswer: 1185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 231b64 (base 13) to base 11\nAnswer: 519444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 465 and 5.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 5, g: 4, w: 6}. Give prob of picking 2 i, 1 w, and 1 g.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) be the first derivative of 2*g**6\/21 + 256*g**5\/35 + 246*g**4\/7 + 208*g**3\/3 + 482*g**2\/7 + 240*g\/7 - 1059. Suppose r(b) = 0. What is b?\nAnswer: -60, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + (0 - 84\/8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/2, 3, -4, -3, 0.029 in descending order.\nAnswer: 3, 0.029, -3\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 183685190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 647\/4 + -161. Let c be (35\/(-168))\/((-10)\/6). Put -3\/2, c, 0.1, l in descending order.\nAnswer: l, c, 0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 PM and 9:39 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -3*f**5 - 4*f**4 + 5*f**2 - 4. Let r(g) = -3*g**5 - 3*g**4 + 6*g**2 - 3. Let q(y) = -3*a(y) + 4*r(y). What is the third derivative of q(v) wrt v?\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5 + 5. Suppose 2*n + 4 + 6 = h. Let d(z) = z + 5 - 2 - 5. Calculate d(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -77\/452 and 29\/1475892?\nAnswer: 166775796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of -4*v**7\/231 - v**6\/3 - 113*v**5\/55 - 70*v**4\/33 + 50*v**3\/3 - 125*v**2\/11 + 14*v. Find y, given that k(y) = 0.\nAnswer: -5, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 83395\/12 + -27799\/4. Let s be 2*(2 + -1 + 0). Suppose -s*z - 8 = -2. Which is the biggest value? (a) d (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - n - 245 = 61, -n - 6 = 0. What is the remainder when 109 is divided by j?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 557? (a) 3\/20 (b) -4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 197\/330 and -59\/594.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 3*q = 136. Let v = q + -24. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -2*h**3 - 123*h**2 - 63*h - 11. Is y(-62) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) be the second derivative of -f**9\/2520 - f**5\/24 - 5*f**4\/4 - 6*f. Let w(n) be the third derivative of v(n). Find the first derivative of w(i) wrt i.\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2660*r**5 - 2*r**4 - 5*r**3 - r + 157246?\nAnswer: 53200*r**3 - 24*r**2 - 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 61286 is divided by 12244.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((1\/2)\/1)\/((532\/24)\/(-19))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 22569 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 4*j**3\/7 - 4792*j**2\/7 + 1415844*j\/7 + 11635488\/7 = 0. Calculate j.\nAnswer: -8, 603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/6)\/(2\/92). Let t = -73 + g. Let c be (0 + 1)*(-4 + t)\/(-6). What is the highest common divisor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 477300644 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be 993\/2232*9 - (4 - 0). Let k = z - 485\/1116. Calculate the common denominator of -85\/12 and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 9\/(-15) - 116\/(-10). Let s = 3 + 10. Suppose a - 2*i - s = 17, -3*a = -2*i - 74. Calculate the greatest common divisor of f and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1539*b**2*c**2 + 2*b**2*c - 212124*b**2 + 3*b*c + 2*c**5 wrt c?\nAnswer: -3078*b**2 + 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 15.8372 to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -316295*y + 63. Let v(w) = 19771*w - 4. Give -4*c(l) - 63*v(l).\nAnswer: 19607*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -2*v**3 - 93*v**2 - 136*v + 23. What is b(-45)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o + 0 - 15 = 0. Suppose 7 - 22 = o*j. Which is the second biggest value? (a) j (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 45279143 and 1190.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 1632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-12)\/(-10))\/((-21)\/(-70))*1. Suppose -3*t - 2*i + a = 0, -t - 9 + 6 = 5*i. Solve 4 = -t*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from gcttxgrtgr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) be the second derivative of -q**5\/170 - q**4\/34 + 4*q**2\/17 + 5*q + 2. Factor y(f).\nAnswer: -2*(f - 1)*(f + 2)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 6500000 + 12*a**3 + 2*a**2 - 28*a**3 + a + 17*a**3 - a**2. Let g be v(0). Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41493.65 centuries in millennia?\nAnswer: 4149.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -2888348*m**2. Let h(f) = -2*f. Give h(r(b)).\nAnswer: 5776696*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 42307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**(-1\/5)))\/s**3*s**(-5)*s\/(s**2*s) assuming s is positive.\nAnswer: s**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ms when two letters picked without replacement from mosssssswwssso?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -2*r + 7. Let g be i(5). Suppose -5*v = -2*v - 3. Let d = g + v. Are -1 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -24, -3, 1, 5 in ascending order.\nAnswer: -24, -5, -3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 117 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -34312*t**3 + 120247*t wrt t.\nAnswer: -205872*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3824050547 to the power of 1\/3, to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + ((sqrt(114)*-1)\/sqrt(6) + sqrt(19) + sqrt(1539) + 2 - 2*(0 + sqrt(1216))*-5))**2.\nAnswer: 1068*sqrt(19) + 150535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (1 - 0)*174927*(37 - 9570\/261)?\nAnswer: 58309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -32\/25 in -0.03, 2, -0.2, 1, -19\/6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -7*f**2 - 4*f. Suppose 2*s = -4*l + 8, s - 3*s + 8 = 2*l. Let a(z) = 48*z**2 + 27*z. What is s*a(t) + 27*x(t)?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/22050 and -31\/73500.\nAnswer: 220500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fqq when three letters picked without replacement from qfdqd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -36 - -30. Let f(u) = -u**2 - 1. Let g(m) = 8*m**2 + 4. Determine p*f(q) - g(q).\nAnswer: -2*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t*t*t\/(t\/t**1)*t)**13 assuming t is positive.\nAnswer: t**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from wbbbbw?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*c - 5*c + 12. What is the third derivative of -3*w**5 - w**2 - 4*w**5 + c*w**2 + 4*w**5 wrt w?\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 49\/(-14)*(-8)\/7. Suppose p = b + 5*f - 4, 0 = 5*b - f - 14. Suppose 5*a - 23 + b = 0. Solve -2 = a*g + 3*h + 1, -2*g + 5*h = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, h: 1, f: 2, u: 2, p: 1}. Give prob of sequence pu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 4*a**3 + 6*a**2 + 3*a - 2. Let y(d) = 3*d**3 + 7*d**2 + 4*d - 3. Let v(l) = -5*j(l) + 4*y(l). Is v(-2) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 2*d**3 + d**2 + 32*d + 144. Let p be l(-3). Factor -3\/4*o**2 + 1\/2 - 3\/4*o + 1\/2*o**p.\nAnswer: (o - 2)*(o + 1)*(2*o - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24881 - 24889. Suppose -17 = a + 2*a + m, 0 = -2*a - 2*m - 10. Which is bigger: a or j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 + 3)*(-3*s + 2*s - 5*s) + (-1 - 4 + 4)*(0*s - 2*s + 0*s).\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15950 - -15911.418. Let v = n - -2.612. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b + 9. Let x be f(-8). Suppose -17*i + 591 - 557 = 0. Sort x, i, -1, 7 in decreasing order.\nAnswer: 7, i, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*y - 3321 = -1396. Let s = y + 508. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 4*u. Let l(w) be the third derivative of 17*w**5\/60 - 40*w**2. Calculate l(g(n)).\nAnswer: 272*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/4, -4.0953, -12, -3 in decreasing order.\nAnswer: -1\/4, -3, -4.0953, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from biuuiiibyiiu. Give prob of sequence by.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:30 PM and 5:19 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -52*v + 43*v - 54 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum -40.958 and 5.\nAnswer: -35.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 3*m + 1. Let o be f(1). Suppose -2 = -2*c + o*d - 0, -c - 3*d = -1. Solve -3*s + c = -8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1*(12 + -19) - (3 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001001101010110001101 (base 2) to base 15.\nAnswer: -32a3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/560 and -69\/350.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -67\/3335 and -11\/40?\nAnswer: 26680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) + -1 + sqrt(432))**2 + -3.\nAnswer: -48*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 6 + -8. Suppose -10 = 4*a + 3*m, -a + 5*a = -m - 14. Let k be 4\/(a\/3) - 2. Put k, 4, x in ascending order.\nAnswer: k, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -44 and 24 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 3*v = -69, -4*c + 5*v = -71 + 8. Let t = -19 - -13. Let b = t + c. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 917, 909, 891, 857, 801, 717, 599, 441?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(1*(sqrt(156) + 2*(sqrt(156) - sqrt(156)*-2)))\/(sqrt(108)\/(sqrt(9)*-2 - sqrt(9)) - sqrt(36)\/sqrt(3)*1).\nAnswer: 105*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 4 + 19*o**2 - 15 - 20*o**2 - 6 + 38*o. Is l(34) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1.0757 and -0.5.\nAnswer: -1.5757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15 + -3. Suppose 0 = -2*y + 50 + 6. Let s = y - m. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 21187*n + 21187*n - 12867*n**2.\nAnswer: -12867*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 12\/2512*2\/(-3). Let r = d - 311\/942. Which is the nearest to r? (a) 4 (b) -5 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + (3 - ((2 - 3) + 2)). Suppose 0 = -i*q - 2*q + 10. Solve -3*p + 9 = 5*z + 28, 22 = -4*p - q*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*z - 25*z + 36 = 0. Solve -12*t + 9*t - z = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 363610 and 290888.\nAnswer: 1454440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5.18 - -0.18. Let i = 4.76 + -0.76. Let x = -3 + i. What is the closest to x in y, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 2212658 + 37?\nAnswer: 2212706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 535*o + 5307. Calculate x(-10).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 102202 - 11210022?\nAnswer: -11100120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 12*d**3 - 1067*d**2 - 1106*d - 5780. Give q(90).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25601 is divided by 1162?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 13852, 26985, 40120, 53257?\n\"Answer: r**2 + 13130*r + 721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 14912 - 26796 = -j. What is the ten thousands digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*l - 2*l - 3*l + 2*l to the form s*l + r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 9017, 18004, 27005, 36026, 45073, 54152, 63269, 72430?\n\"Answer: r**3 + r**2 + 8977*r + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -0*y - z - 11, 7 = 2*y - z. Suppose 4*v + y = -3*f + 2*v, 5*f + 28 = 2*v. What is the lowest common multiple of 22 and ((-64)\/10)\/(f\/10)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1928, -1913, -1882, -1829, -1748?\nAnswer: -1633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 80826 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve u = 12*d - 2*u + 39, 7*u + 9685 = 3*u + 9801 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(-6) - (-1)\/(-3). Suppose 0 = -0*f + f - 1. Sort f, d, -1\/3 in decreasing order.\nAnswer: f, -1\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -2369 * 17\nAnswer: -40273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 2746 = -1020. Let h = m + 662. Let f = -700 - h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to -16\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 7384.\nAnswer: -3\/7384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - -325233?\nAnswer: 32522d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 4 by -5024002.\nAnswer: -2\/2512001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -g**3 + 6*g**2 - 7*g - 1. Let b be y(3). Suppose 0 = -h - 3*h - 4*n + 44, -b*n + 29 = 3*h. Solve 21 = 3*l + 3*k, -l - 2*l + k + h = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 64*z**2 - 120*z**2 - 13 + 12*z + 55*z**2. Let d be v(11). Let c be (((-20)\/15)\/d)\/(1\/33). Calculate the highest common divisor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-4))\/(((-8)\/28)\/((-52)\/(-7))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-2\/7)*m)**(1\/23))**(-34)\/((m**(-2))**(2\/15))**(-2\/3) assuming m is positive.\nAnswer: m**(-8938\/7245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -343321 - 13*q**2 + 5*q**2 + 0*q**2.\nAnswer: -8*q**2 - 343321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l - 41. Let n(b) = b + 20. Determine 3*a(p) + 5*n(p).\nAnswer: 2*p - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81837 is divided by 755.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000249998047 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q + 2*q - 4*q)*(-4 + 5 + 1) + (0 - 2 + 0)*(-q + 2*q - 3*q) + (-10 + 10 + 4*q)*(24 + 524 + 181).\nAnswer: 2916*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98095?\nAnswer: 5, 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1459686, -2919382, -4379078, -5838774?\nAnswer: -7298470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128523233?\nAnswer: 41, 3134713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 13643*n - 38. Let i be g(1). Suppose 22*a - i = 7*a. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3045, 1, 3 in descending order.\nAnswer: 3, 1, -1, -3045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -15 and (-1918)\/(-220) + 12\/66.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 250\/(-625)*(-15)\/(-8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -99090 - 385?\nAnswer: -99475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2895802299093.00005969 + 2895802286882. Let s = -12211 - o. Round s to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 660.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 175 = 4*i + 5*n, -7*i + 230 = -2*i - 5*n. Let h = 4 + 14. What is the greatest common factor of i and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2185687 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13\/((-1352)\/(-16))*(-819)\/(-189).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-7))**(-3\/20)\/(w**(-19)\/(w**(3\/11)\/w)) assuming w is positive.\nAnswer: w**(2109\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 184313*k**5 - 4*k**4 + k**2 - 1822773*k?\nAnswer: 11058780*k**2 - 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 58178, 56295, 54400, 52487, 50550?\n\"Answer: -p**3 - 1876*p + 60055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0105 - -0.008. Round q to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58076.\nAnswer: 2, 14519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184198, -184178, -184158?\nAnswer: -184138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 44 - 41. Suppose 0 = j - 2*c, -3*c + 2 + 43 = y*j. What is the remainder when 15 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 5*v**3 + 7*v**2 - v + 11. Let j(d) = 11*d**3 + 14*d**2 - 2*d + 22. Let r(k) = -13*f(k) + 6*j(k). Is r(10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 2*n - 3*g - 693 = 0, 2*n = -2*g + 1386. What is the common denominator of (-12)\/(-20) - (-6 - n\/120) and -30\/29?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12441 = 121*b + 248*b - 50*b for b.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 - 49*p**2 - 663*p - 239. Give w(60).\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -6720678420 rounded to the nearest one million?\nAnswer: -6721000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes before 7:31 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -57\/2 and 91\/45354?\nAnswer: 45354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -836*i**2*s**3 + 11*i**2 + 5*i*s + 4*s**2 wrt s?\nAnswer: -5016*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -88, -182, -268, -340, -392, -418?\n\"Answer: o**3 - 2*o**2 - 95*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -y**3 + 42*y**2 + 308*y - 966. What is r(48)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 53032907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/272 and 169\/(-110) - 120\/200.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/253 (b) 2542 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 - 8 = -l. Suppose 5*d = -3*j + 245, 2*j = -d + 5*j + 31. Let r = d + l. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 170.7 - 169. Let u = 1.7 - r. What is the closest to -2 in 4, -6, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 402 + -112. Suppose 2*w = w + n. List the prime factors of w.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/306588 and -20\/2069469.\nAnswer: 8277876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -196*s**4 - 13020*s**3 + 386272*s**2 + 10860096*s - 241413120 = 0.\nAnswer: -80, -31, 156\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -24 - 1438*c**2 + 477*c**2 + 485*c**2 + 477*c**2 - c - 373*c**3 wrt c.\nAnswer: -2238*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/5*(-30)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -38327.9975773 - -38328. What is b rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 496 - 5?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6545 + 5\/(-10)*-26?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q\/(q**(1\/2)\/q)*q)**13\/((q\/q**(2\/5))\/(q**(-3)\/q*q)))**(-41))**(1\/3) assuming q is positive.\nAnswer: q**(-17179\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (44 - (-9424)\/(-209))*((-8)\/(-4) - 1)\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4004599?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 4*c**3 + 32*c**2 + 4*c + 22. Calculate w(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*f**3 + 14*f**2 - 14*f**2.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-53)\/(-742))\/(1\/8). Put 3, -78, j in decreasing order.\nAnswer: 3, j, -78","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + ((-130)\/(-35))\/2. Suppose t*x**2 + 2\/7*x**3 + 2\/7 + 6\/7*x = 0. Calculate x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 11, o: 1, j: 2, v: 2, f: 3}. Give prob of picking 1 v and 1 d.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 187 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 14463, 14424, 14385, 14346, 14307, 14268?\n\"Answer: -39*w + 14502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 6 = -2. Solve -2*v - v + 8 = i*n, -5*n = -v - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -3*t**2 + 2*t**2 - 5 + 33*t - 25*t. Give l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*k**3 + k**3 + k**3)*(k**2 + 4*k**2 + 6*k**2).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1525*w**5*x + 2*w**3*x**3 + w*x**3 - 3*w*x - 18*x**3 - 2 wrt w.\nAnswer: -30500*w**3*x + 12*w*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 140.301364 rounded to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (6\/(-4))\/((-9)\/12). Suppose -4*h = -2*g - 0*h, g + f*h = 8. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5 + 7. Suppose 4*a + 31980 = 4*l, -x*l + 15985 = -2*a + l. What is a rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -866*s = -95*s - 63*s - 233640. Calculate the remainder when s is divided by (-1044)\/(-28) - (-2)\/(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4984)\/10235 - (2 + 12\/(-5))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - s)*(-264*s - 16*s**2 + 264*s) + 4*s**3 + 0*s**3 - 5*s**3 + 19*s**3 - 11*s**3 - 21*s**3.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2*(148\/24)\/37. Let a = -0.06 + 2.06. Suppose -10 = -y + 2*y. What is the nearest to a in y, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00095123031 rounded to six dps?\nAnswer: -0.000951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 382.823 - -0.177. Let w = -382.6985 + q. Round w to 2 dps.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p**5 + 104884*p**4 + 1679108*p**3 + 1574220*p**2 = 0.\nAnswer: -15, -1, 0, 26237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 4+-4238673308\nAnswer: -4238673304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of 1048*j**3\/3 + 1574*j - 1829. Differentiate c(n) with respect to n.\nAnswer: 2096*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of h**4\/24 + h**3\/2 - 4*h**2. Let a be i(-3). List the prime factors of 34 + -6 - (0 - a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 330638529 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 488 + (-184)\/(-23)*(9\/(-6) - -2) is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 495940207 and 1778?\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1205226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*b + 8*b = -4. Solve i + o = -b, -i + 2*i = -3*o for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -21870060 by 21870060.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 133 + -39 - (13 + -5 + (2 + -9 - -11)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -119*k = 516*k - 15875 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (9\/(-120))\/((-24)\/(-20)). Let k = z - 3\/16. Let c(h) = -h**3 + 4*h**2 + h - 4. Let a be c(4). Put k, 2, a, 5 in increasing order.\nAnswer: k, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13\/10 + -188\/35. Let j = -5059\/12 + 418. Calculate the common denominator of j and m.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, y: 1, v: 2, j: 3, m: 3, z: 1}. Give prob of sequence vpy.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137694 is divided by 1601.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from avathma. Give prob of picking 1 v, 1 t, and 1 m.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**2 - 4*s. Let u be z(5). Suppose a - 10 = -3*n + u*a, 0 = n + 4*a + 2. Let l(x) = -10*x**2 + 2*x + 4 + 8*x**2 - 2*x**2 - 2. Determine l(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -622 - -789. Suppose -c + 41 = -o. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 13682363 and 0.4.\nAnswer: 13682363.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*(-1)\/(-3) - 0. Let y be -2*1*-74*78\/(-11544). What is the second smallest value in z, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -408*o + 32. Let a(r) = 37*r - 3. Let c(v) = 32*a(v) + 3*g(v). Let b be c(-1). Suppose 4*m - b = 36. What are the prime factors of m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 256 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - r - 32, -6 = -5*k - 5*r + 14. Suppose -5*a + 6 = -k. Is a\/((-9)\/3) - -73 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = 2*z - a + 11, z = -4*a + 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23102, -22993, -22806, -22541, -22198?\nAnswer: -21777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.6 + 1.4. Let g = 239\/2 + -481\/4. What is the second smallest value in r, g, -131?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1407.8865 to the nearest integer.\nAnswer: -1408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 288811 is divided by 1328.\nAnswer: 635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 3452145242 - -0.107\nAnswer: 3452145242.107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 divided by -172.\nAnswer: -9\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1484 + -1484. Let x = 18 - 14. Solve n = x*g - 4*q - 20, -q + 0*q = 5*g - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0789 plus -17051?\nAnswer: -17050.9211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from oykzyoypyyyyyyoyka. Give prob of picking 2 y.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + u + 905. What is l(-29)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - -40?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10500 - 10488. Solve -d = -3*k - 2*i, -4*k - 59*i + 20 = -55*i for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36666971 is divided by 1462.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 7 + 0)*(9*f - 1 + 0*f - 13*f + (2*f - 4*f + 0*f)*(-1 - 3 + 6))*(3*f - f + 0*f).\nAnswer: -112*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1350\/(-4)*(-50)\/(-150))\/(3\/2796). Round b to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4091601*p + 6347199 wrt p.\nAnswer: 4091601","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be -4 + -3738 + -1 + -2. Let t = v - -5516. What are the prime factors of t?\nAnswer: 7, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2224 and 84234?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1169 and 2672.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a gram in micrograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 27916269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3 - (7 + (-4 - 4)). Let q(k) = 3*k + 10. Let d be q(a). Put 7, d, -5 in descending order.\nAnswer: 7, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen twelths of a decade in months?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 21503547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -2*s**2. Let c(l) = -3429*l. Determine c(r(u)).\nAnswer: 6858*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -211130 (base 8) to base 7.\nAnswer: -411521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1.1 + -73977142?\nAnswer: -73977140.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 16, 5*b + 1223*h = 1218*h - 15. Suppose 0 - 256\/9*o**3 - 638\/3*o**4 + 0*o - 8\/9*o**2 + 242*o**b = 0. Calculate o.\nAnswer: -2\/33, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*z + 4*z - z + (-z - 1 + 1)*(10 + 4 - 4) + 72 - 128*z - 72.\nAnswer: -137*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-20) + 50853\/(-330). Let m = 344 + u. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -8.5 times -0.10862\nAnswer: 0.92327","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q + 2*n - 29, -3*n = 3*q - 40 + 7. Which is the biggest value? (a) 0 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 4*o**2 - 18*o + 15. Let k be s(4). Solve -b + 8 = k*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -84 + 57.8. Let z = m - -26.19999605. What is z rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6028 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -182171 divided by 5.\nAnswer: -182171\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -10c6d3 (base 14) in base 4?\nAnswer: -2023223101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -50418*t - 2433.\nAnswer: -50418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000157458136 rounded to six dps?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1015 divided by -5\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((120\/(-25))\/(-24)*(-15)\/9)\/(3\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -111867a (base 11) to base 4.\nAnswer: -13132030322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 582329 is divided by 142?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) be the first derivative of h**3 - h - 4. Give z(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 10\/6)\/(((-34209)\/(-3528))\/(-181))?\nAnswer: -56\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -9*f**3\/8 + 329727*f**2\/2 - 6040104048*f + 8053178976 = 0.\nAnswer: 4\/3, 73272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 663 minutes before 9:26 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 0*t = 3. Let k(q) = -q - 1 - q**2 + 3*q - 1. Let l(f) = -f**2 - f**2 - 5*f + 5 + 0 + 5*f**2. Determine t*l(n) + 7*k(n).\nAnswer: 2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-2 + 15183\/(-4))\/(168\/(-32) - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -44*j - 124. What are the prime factors of t(-18)?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4009352945 to the power of 1\/2, to the nearest integer?\nAnswer: 63319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = g**3 - 25*g**2 - 64*g. Give t(-3).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -39 + 54. Suppose 0 = z + b - 28. Suppose 69 = l - z. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3655213 - 10?\nAnswer: -3655223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = 63*o**2 + 11*o + 5. Let a(d) = 94*d**2 + 16*d + 7. What is 5*a(l) - 7*w(l)?\nAnswer: 29*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 2 e when four letters picked without replacement from qoeoxnnooe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -18 + 20. Let z be (-3 - 2)*f\/(-2). Let w = -107\/4 + 27. Which is the second biggest value? (a) w (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 108639 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -s**4\/3 - 9673*s**3\/3 + 67745*s**2\/3 - 48397*s + 29040 = 0 for s.\nAnswer: -9680, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 757*x**2 - 67*x + 5. Is n(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33\/5 of a decade in years?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/10, 17, 4\/3, 0.14?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/83 in -8\/33, 1\/14, 0?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_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: What is prob of sequence mtk when three letters picked without replacement from {k: 1, m: 2, z: 2, g: 1, t: 1, f: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 10491 and 0.0524986?\nAnswer: 10490.9475014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*l + c - 5 = -14*l, -3*l + 2*c = -15. Suppose 5*h = l*u + 2235, 2*h - 3*u - 179 - 718 = 0. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(33\/(-2)))\/(45 + (-19536)\/363).\nAnswer: 2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-99)\/(-594))\/(1\/(-6))*1)\/(1\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 191*o + 3879 = 10755. Let m(y) = 18*y - 12. Calculate the smallest common multiple of m(5) and o.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 0*f + f)*(-429*f - 22031 + 22031).\nAnswer: -429*f**2 + 858*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 29 - 26. Let g be ((-2)\/o)\/(7\/(-294)). Does 18 divide -3 + 18\/4*g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -u**2 - 1885*u + 47750.\nAnswer: -(u - 25)*(u + 1910)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1827\/(-116)*8\/(-6). Let s be (-6)\/y - 1*256\/(-14). Solve 0 = 5*j + s - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 45 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 509718 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 301851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -50*i**2 + 16*i**2 + 136*i**2 + (7 - 5 + 11)*(-4*i**2 + i**2 + i**2) - i**2 - 3*i**2 + 5*i**2 - 1 - i**2 + 1.\nAnswer: 76*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 374494710?\nAnswer: 2, 3, 5, 1307, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 0*h + 18 = 3*m, 4*h + 42 = 3*m. Let v(s) = -2*s - 2 - 5*s + s. Let u be v(-2). What is the greatest common divisor of m and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - v = 522. Suppose 15*m - 8 = 17*m. What are the prime factors of 8\/12*v\/m?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b - 12 = 28*b. Let g(z) = -z**2 + 3*z - 4. Let j(f) = -f**2 + f - 1. What is b*g(s) + 3*j(s)?\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/1470 and -41\/462.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 4*r - 5212 = 0, -41*t + 43*t - 2086 = -2*r. Calculate the highest common divisor of 200 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3526 + 2f?\nAnswer: -34f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**10*u)\/u**(-1)*(u**0\/u*u)**(-6\/13))**(-4) assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4988 is divided by 2119?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52711776?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are -2161698 and -2161694 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 303\/730079 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13 - 0. Suppose x*a = 8*a + 25. Suppose -4*j**5 - a*j**4 - 2*j**5 + j**5 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is x in -5*x**4\/6 - 8505*x**3\/2 - 612170*x**2\/3 + 15709191950*x - 15708983640 = 0?\nAnswer: -3378, 1, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 0*h = 6. Let t(s) = 1 + s**3 - 9 - h + 2 + s**2 - s. Give t(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 33351.46372 from -4.\nAnswer: -33355.46372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 5\/2, 4\/7 in descending order.\nAnswer: 5, 5\/2, 1, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8 + -2 - (-33 - -40) - (-14 + 21 + -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 4*d - 3*d - 3*d + (3 + 2 - 3 + (1 + 1 - 1)*(-1 + 0 - 1) + 18 - 42 + 435)*(-2*d + 2*d + d) in the form i + r*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (0 + sqrt(2) - sqrt(2))**2 + ((sqrt(2) - sqrt(2)*2) + 3)**2.\nAnswer: -6*sqrt(2) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8049.3 + 0.07.\nAnswer: -8049.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*z - 6 + 26. Let r(n) be the first derivative of -5\/2*n**2 + 6*n + 1. Let o(t) = 2*t - 2. Give z*r(b) - 11*o(b).\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/4*((-48)\/(-24))\/4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 19604536 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 + 14. Let u = -13.66 - -14. Let o = 0.04 - u. Which is the second smallest value? (a) 0.1 (b) d (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -92.4 + 2.4. Let k = b - -62. Let f = 31 + k. What is the smallest value in 1\/2, 0.1, -0.2, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 13*n**2 + 33*n + 47. Let w = 15 + -30. Let i be a(w). Solve i*v + 2 = 2*k, -k + 0*k - 4*v + 1 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 11559, 92453, 312021, 739599, 1444523?\n\"Answer: 11556*h**3 + h**2 - h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 479\/13 - 37. Sort 9, s, 0.\nAnswer: s, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2216466 and 54927.\nAnswer: 37679922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 91, 291, 633, 1123, 1767?\n\"Answer: f**3 + 65*f**2 - 2*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 29366.\nAnswer: 2, 14683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - 7*h + 113. Determine b(-13).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s**3 - 46*s**2 - 214*s - 3524. Give b(-39).\nAnswer: -5825","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Total of -38 and 0.02487.\nAnswer: -37.97513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -129 (base 10) to base 2.\nAnswer: -10000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sme when three letters picked without replacement from mmsheehfcshhh?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -5*j**2 + 3*j + 4. Let l(t) = -6*t**2 + 3*t + 5. Suppose 4*i - 12 = 7*n - 5*n, 0 = -2*n + 8. What is i*c(p) - 4*l(p)?\nAnswer: -p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 36325131971 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19275979 and 566.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 65510867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = -5*f + 33*f - 150. Solve -3*r - 20 = 4*o, 8*o - 6*o = f*r + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 313150 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9365748 is divided by 192?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do -12\/43 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 8*u + 64. Let a be v(-8). Suppose -9*w - 1 - 53 = a. Let i(d) = -d**3 - 6*d**2 + 2*d - 1. Determine i(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24375, 45298, 66219, 87138, 108055, 128970?\nAnswer: 149883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -91\/65120 and 3\/25?\nAnswer: 325600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.03305033016 rounded to four decimal places?\nAnswer: -0.0331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79*x = -172*x + 624774. List the prime factors of x.\nAnswer: 2, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-33)\/(-33))\/((-2)\/14)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 41301321 (base 6) in base 2?\nAnswer: 100100010100010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -15 + 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58*b - 3*y = -55*b - 306, y + 222 = 2*b. Let x(a) = a + 323. What is the remainder when x(0) is divided by b?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3\/6 - 9*c**2\/2 - 43*c\/2 + 155\/6.\nAnswer: (c - 31)*(c - 1)*(c + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 7, c: 7}. Give prob of picking 3 c and 1 z.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1\/60 - 4\/15. Let l = -0.3 - -0.2. Let d = l - 0.4. Which is the closest to 1? (a) -1\/8 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -63. Let o = t - -75. Let d(r) = 3*r**2 - 1. Calculate the lowest common multiple of d(1) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -255 - -246. Which is the nearest to 0? (a) 3 (b) t (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (13 - 14)\/((-2)\/10). What is the third derivative of 3*r**5 + 20*r**2 + 8*r**y - 36*r**2 wrt r?\nAnswer: 660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 65*d - 252 = -61*d, 246 = 5*v - 2*d. What is the lowest common multiple of v and 30?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -82193, -82132, -82067, -81998, -81925, -81848?\n\"Answer: 2*p**2 + 55*p - 82250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(396)*-2*-3)**2.\nAnswer: 14251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -21 - -18.96. Let p = s + 0.04. Which is bigger: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmzmavzvzamzvazvza. Give prob of sequence mz.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 329*r - 333*r - 268, -q + 133 = -3*r. Which is greater: 1498\/11 or q?\nAnswer: 1498\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/t**(-25\/3))\/t)\/t*(t*t**(-13)*t*t)\/t)**(5\/12) assuming t is positive.\nAnswer: t**(-55\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5773, 11529, 17269, 22993, 28701, 34393, 40069?\nAnswer: 45729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 3*o**4 + 1 - 5*o**4 + 2*o in the form d*o + q*o**4 + c + l*o**3 + v*o**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/31340 and -109\/360410.\nAnswer: 720820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 316212, 1264641, 2845270, 5058093, 7903104?\nAnswer: 11380297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sk when two letters picked without replacement from kvysx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 30000*m**2. Let u(y) = -y + 6. Let h be u(3). Suppose 18 = -9*z + h*z. Let a be l(z). What is a rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -0.8. Let o = g - 0.7. Which is the third biggest value? (a) 5 (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 3, g: 2, w: 2, m: 2}. Give prob of picking 1 s and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**5 - 115*r**4 - 6598*r**3 - 70682*r**2 - 137981*r + 54093 = 0. What is r?\nAnswer: -19, -13, -3, 1\/3, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.09 - 860841\nAnswer: -860840.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -392106213*d**3 - 936648961*d**2 wrt d?\nAnswer: -2352637278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/84 and 23\/252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 241 + -241.139. Let n = g + -3.861. Which is greater: n or -21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -350 in -88237, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 28679 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-9 - 28) + 45 - (-2 - 14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k\/(k\/(k\/(k\/(k*k*k*((k**(-4\/9)\/k)\/k)\/k*k))))*k\/(k**(1\/5)\/k))\/(k\/k**(1\/4)*k)**(-38))**2)**16 assuming k is positive.\nAnswer: k**(99152\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -88*u**2 + 92*u + 84*u**3 - 32*u**4 - 60*u + 5*u**5 - u**5.\nAnswer: 4*u*(u - 4)*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -124, -190, -262, -346, -448, -574?\n\"Answer: -w**3 + 3*w**2 - 68*w - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) -0.4282 (b) -4 (c) -2 (d) 0.345 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -197647 and -0.3?\nAnswer: 59294.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -300*j**3 - j**2 - 10*j - 4. Let l be c(-10). Suppose 4*p - 13522 = 2*h - 413520, 0 = 3*p - 4*h + l. What is p rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = 4*h - 8, -2*i - 1 = h - 0*i. Suppose -25378*b + 25398*b - 40 = 0. Solve -u - b = -h*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*n - 640 = 4*n. What is the remainder when n is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine p so that -3*p**5 + 132*p**4 - 975*p**3 - 11250*p**2 = 0.\nAnswer: -6, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 + 6*r**2 - 6*r + 7. Let u be v(5). Suppose u*h = 3*h. Suppose -a = -h*a - 8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-13 - 1)*(1 + 0). Let z be 0 - (24\/w - -2). Which is bigger: z or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*v - 7 = -25. Solve v*t + 4 = -2*d, 0*t + 3*t + 20 = 2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -32*d + 136. Sort -63, d, 21.\nAnswer: -63, d, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 4*z - 20. Let b be f(6). Solve 0*s = 4*j - s, b*j = 3*s - 8 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -3*d - 16. Suppose -552 = 86*p - 17*p. Give r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 AM and 6:22 PM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 e when three letters picked without replacement from {e: 1, a: 3}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 6 = 3*d - d, -10 = -5*u. What is the closest to d in -4, -0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 7 = -2. Let s be (-2)\/8 + 6\/(-8). Let g = s + x. Solve -4*r = -b - 9, 4*r - g*b - 2*b = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 4*w**3 + 747*w**2 - 2973*w - 520981. Determine n(-187).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/(1 - 2) + 10236\/10278. Let a = d + 26329\/15417. Calculate the common denominator of -133\/24 and a.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 76 - 33. List the prime factors of r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 213, 236, 233, 192, 101, -52?\n\"Answer: -2*s**3 - s**2 + 40*s + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of -b**5\/10 - b**4\/4 + b**2\/2 + 15*b. Let r be h(-2). Solve -4*i - 4 = -4*k, -i + k = 4*i + r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2725 is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-4*((sqrt(108)*2 - sqrt(108)) + sqrt(108)))\/((sqrt(72)*2)\/sqrt(6)))\/(-2*(-2*sqrt(147) + sqrt(147))*2))**2.\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 + 8*v - 452. Let w be m(26). Calculate the greatest common divisor of w and 972.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1272*a + 1945*a + 9995 - 14284 - 27881 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 69043 and 11349?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16633986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (45\/(-12))\/((-3)\/16). Let w = q - 16. Solve 2*b - 4*b = 4*o - 14, w*b = -o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 5:54 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04802167841 to 3 dps.\nAnswer: 0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 42*m**3 + 35*m**2 - 35*m - 35. Suppose 120 = 4*v + 4*v. Suppose -5*u = 10 - v. Let n(f) = -f**3 - f**2 + f + 1. Give u*r(w) + 35*n(w).\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1147*q**2 - 1147*q**2 - q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1046 (base 8) to base 4\nAnswer: -20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 27 = -v. Let s be 11\/6 + 4\/v. Suppose 2*i + s*i - 4 = 0, -2*i = 2*q - 10. What is the remainder when 4 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a**2 + 20*a + 3. Let m be f(-9). List the prime factors of (-232)\/(-6) + 10\/m.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -7*g + 1. Let p(w) be the second derivative of 2*w**3\/3 - 445*w. What is l(p(d))?\nAnswer: -28*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1051472 and 176?\nAnswer: 11566192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 37 = 3*m, 0*b + 5*m - 71 = -4*b. Suppose 3*g = 5*y + b + 46, -5*y = 15. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 2*y**2 + 4*y - 24. Let q be f(-15). Suppose -378 = -2*r - q. Solve r - 10 = 4*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 33\/1430*4*4*(-30)\/(-48)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x - 3*x + 752*x**3 - 689*x**3.\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide -10*(1 + -6 + -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (6\/8)\/(15\/5). Let a = 0 - z. Let w = -2.2 + -0.8. Which is smaller: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = -3*j + 2. Let o be 1\/(-7*1\/j). Which is greater: o or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 441440 - 4*y + 436447 - 877887.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6275, -6450, -6653, -6896, -7191, -7550, -7985, -8508?\nAnswer: -9131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*y**4 + 3199*y**2 - 3199*y**2 + (48*y + y**2 - 48*y)*(1 - 1 - 2*y**2))*(-1 + 1 - y).\nAnswer: 22*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 73847 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -660 (b) -11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - 408.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.073+-489593122067\nAnswer: -489593122067.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 3*m - 22 - 301 = 0, -2*m - 327 = 5*a. Let z = a + 465\/7. Let b = -0.3 - -0.4. Sort b, 2, z in decreasing order.\nAnswer: 2, b, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -1281, -1294, -1321, -1368, -1441, -1546?\n\"Answer: -x**3 - x**2 - 3*x - 1276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes after 3:33 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 7311.336 centuries in millennia?\nAnswer: 731.1336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose m = 1 + 3. Solve -m*k - 25 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 5*b**2 + 69*b + 866. Calculate the remainder when u(-19) is divided by 76.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 892 + 356 = 0. Let q = d + -8. List the prime factors of (0 + 3)*q\/30.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k = -d - 0*d - 16, 5*d = -5*k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 323.6975 decades in millennia?\nAnswer: 3.236975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -53554 - -80272?\nAnswer: 25617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (19\/(-342)*45)\/(10\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 77131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -175 + 159 + (0 - -16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 13*l**3 + 2*l**2 - 2*l. Let c be d(1). Solve 12 + c = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-40)\/(-6))\/(4\/12). Let d be n*4\/(16\/489). Let s = d + -4797\/2. Calculate the common denominator of s and 37\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (8 - 0) + 21 + (-17 - 58)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 120, 304, 582, 960, 1444, 2040, 2754, 3592?\nAnswer: 4560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mvdvddmvfvwvm. What is prob of picking 1 m and 1 v?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 1395*p**3 - 21*p**2 + 1320. Let m(d) = 348*d**3 - 5*d**2 + 330. Let g(v) = -5*h(v) + 21*m(v). Find the first derivative of g(l) wrt l.\nAnswer: 999*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 4*x**2 + 7*x + 7. Let f be c(-3). Suppose 3*i + 2*i + 110 = 0. Let a = f + i. Solve 3*y + 2*y = a for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 725, 1523, 2493, 3647, 4997, 6555, 8333, 10343?\n\"Answer: 2*w**3 + 74*w**2 + 562*w + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 254 = 8. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86 = -12*q - 26. Suppose -112 - 138 = -q*i. Find the common denominator of i and -11\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.95 - 0.05. Let v = -0.6 - o. Let y be 0 - (2 + 12\/(-7)). Which is the third biggest value? (a) v (b) 0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyaytjfaaty. Give prob of picking 1 a, 1 j, and 1 y.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g. Calculate the smallest common multiple of (0 - 0) + 0 - -4 and j(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(153) + 5*sqrt(153) + 5 + 5.\nAnswer: 10 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7)\/(42\/36) + 90700006. What is u rounded to the nearest one million?\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -19*o + 16*o + h + 2, -4*o - 2*h + 16 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1396 - 5583\/4. What is the second smallest value in -0.4, a, 5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -139\/366 and -65\/5204886.\nAnswer: 5204886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -3*w - 31 + 31. Give z(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33193457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 970 or 0.24?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4 (b) 6\/13 (c) -1 (d) -28 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -288.9833 + 289. What is p rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 676*n - 1009092 = -13238*n - 1218*n - 252492 for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -a2 + 5c90e?\nAnswer: 5c85c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {g: 5, i: 7}?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiiiiiiiididiiddid.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 251886 is divided by 11449.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 512*s = 507*s - 14, -1 = 5*y - 2*s. Let u(o) = o. Let q(t) = 3 + 4 - 6 + 4*t + 5*t. Calculate y*q(f) + 6*u(f).\nAnswer: -3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.7 and -15749246536?\nAnswer: 15749246536.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2509+-15.65\nAnswer: 2493.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 934023780?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {j: 2, k: 1, i: 1, x: 1, r: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2 - -3) + 0 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36451 is divided by 12111?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 46.12956 nanoseconds to milliseconds.\nAnswer: 0.00004612956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006656705 to 5 decimal places.\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**3 - 17*l**2 - 9*l - 156. Let s be n(16). Is s != -555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(1\/2)*j*j*j)\/j)**16\/(((j*j*j**3*j)\/j)\/(j*(j\/(j\/(j**(1\/3)\/j*j)))\/j)) assuming j is positive.\nAnswer: j**(106\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2320922 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9)\/(-12) + 297\/132. Suppose -5*r + 0*x = 5*x - 5, -2*r = 5*x + 7. Solve z*i - 3*n + 13 = 2*n, r*i = -3*n + 31 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 757*z**3 + 235*z**2 + 230*z - 5. What is b(-1)?\nAnswer: -757","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 690 and 4035350?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 2*d - 6 = 0. Let a be 2*((-180)\/(-8) + d). What is a rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z**(-5\/6))\/z)**(-4)\/(z**(2\/5))**46 assuming z is positive.\nAnswer: z**(-226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n be 579\/(-3990) + (-15)\/(-25). Let h = -1\/38 + n. What is the second smallest value in h, 0.5, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 19, 1\/961, 31 in decreasing order.\nAnswer: 31, 19, 1\/961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 2 + 2)*(-3*k - 5*k + 3*k)*(3 - 3 - 2).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -y**5\/120 - 2*y**3\/3 + 7*y**2. Let x(h) be the first derivative of u(h). Let g(i) = 6*i - 3*i**2 - 6*i. Calculate g(x(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*r + 12 = -60. Let p(l) = -264*l - 9. Let f be p(r). Is f\/(-27) + 3\/(-9) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.51636160971 and -4.\nAnswer: -3.48363839029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -0.34 times 14\nAnswer: -4.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 471*w**2 + w + 1. Suppose 12*j + 2 + 10 = 0. List the prime factors of k(j).\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a kilometer in meters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -70*x - 18*x - 123*x + 336545. What is the greatest common divisor of x and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 42*j**4 + 4*j + 2.\nAnswer: 504*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**3 + 9*d**2 - d - 6. Let l be q(-9). Find the second derivative of 3*u + 4*u**2 - l*u**2 - 3*u**2 wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 3*(-4 + (sqrt(325)*-1 + 1)**2 + 1 + -1*sqrt(325)*-4 + -2).\nAnswer: 30*sqrt(13) + 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.16799 times -97\nAnswer: -16.29503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 4*a - 82. Let v be h(21). Solve -f - 2*g = 4, -5*g + v*g - 5 = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -28824, -28837, -28868, -28923, -29008, -29129, -29292?\n\"Answer: -p**3 - 3*p**2 + 3*p - 28823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the first derivative of 0*f**2 - 7\/4*f**4 + f + 0*f**3 + 2. Suppose 14*m + 11 = -3. Calculate h(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2)\/22)\/(565\/((-652575)\/2520))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1\/3)\/(2\/6). Let v = -4 - z. Suppose 2*u - 1 = 3. Let q(j) = -3*j - 3. Let s(r) = -7*r - 7. Calculate u*s(d) + v*q(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4626582268 to the nearest integer?\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2907*l + 20317 - 302296 = 0 for l.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z - 4*g - 18, -z + 3*z = 3*g + 16. Suppose -j + z = -4*n + 13, 13 = 5*n - 2*j. Solve 3*f - 5*i + 5 = 0, n*f + 8*i - 3*i - 35 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/209 and -43\/154.\nAnswer: 2926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1935452 or 1935467?\nAnswer: 1935467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**6*b\/(b*b*b**(-1))*b*b**(-1\/3)*b*b*b**(-5\/6))**(8\/9))**(-1\/14) assuming b is positive.\nAnswer: b**(-106\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be 0 + (-2 - -3) + 1. Suppose 15 = c*v - 5. Calculate the least common multiple of 3 + 0 + (-4 - (-4 - 4)) and v.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4\/7 (b) 4 (c) 13 (d) -2 (e) 0 (f) 35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 14*i - 13095 + 509. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -3*w**3 - w**2. Let k be f(-1). Suppose -4*b = 5*y - 1, -b - k*y = -0*y + 2. Suppose 5 + 15 = b*o. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 234341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12213 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(272) + (-1 + sqrt(272) - sqrt(272)) + 4)*-5.\nAnswer: -20*sqrt(17) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 4713*a. Let f(r) = r - 1019 + 1019 - 5*r + 3*r. Calculate q(f(z)).\nAnswer: -4713*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l\/(l\/(l*l*l**(-1\/4))))\/l**29)\/(l**(-29)*l*l\/(l*l**(1\/11))))**49 assuming l is positive.\nAnswer: l**(1813\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3\/2 - -3\/4. Let p = -1211 - -1290.1. Let u = p + -79. What is the closest to -1\/4 in u, h, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/10518 and -47\/50636?\nAnswer: 266294724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 156370330?\nAnswer: 2, 5, 23, 89, 7639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -25\/63? (a) 0.2 (b) 5.7 (c) -2 (d) 1\/6 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 l and 1 k when four letters picked without replacement from {l: 4, k: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*-4 + 0\/2. Let s be (-4)\/12 + u\/(-15). Let x = 6 + -11. What is the second smallest value in 4\/3, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -39801474, -39801476, -39801478, -39801480?\n\"Answer: -2*w - 39801472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/2 - 105\/(-10). Let x(o) = -o**3 - 8*o**2 - 12*o + 5. Let k be x(-6). Solve 2*m - d - k = -20, m + l = d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6387179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 12 + 7 - 2*r**2 + (1 - 1 + r)*(3*r - 2*r - 3*r) to the form s*r**2 + q + d*r and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -3*t + 3*s - 145, -3*t + 5*s - 93 = 0. Suppose -4*l + 4*i - 20560 = 0, 0*i + 2*i = -l - 5137. Is (-8)\/(-28) + l\/t a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2649 is divided by 90?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.4, -535, -3\/5 in ascending order.\nAnswer: -535, -3\/5, -0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1 + ((-48)\/(-10))\/(-3). Let w(g) = g**3 - 6*g**2 + 5*g - 1. Let l be w(5). What is the closest to -2 in z, l, -1\/4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*z**5 - 50*z**2 - 1808*z - 20*z**4 + 61*z**2 - 11*z**2 wrt z?\nAnswer: 60*z**3 - 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 313583896 is divided by 3461?\nAnswer: 3452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 320 + 1436?\nAnswer: 2056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -10*u**2 + 22*u**2 - 13*u**2. Let y(r) = 30*r**2. Give y(i(n)).\nAnswer: 30*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5290\/140 + (4320\/(-270) - (-227)\/14)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 57908 divided by -14477\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4.827 - -3.027. Which is the third smallest value? (a) m (b) -2\/3 (c) 3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**3 + 35*g**2 + 120*g - 204. Let o be f(38). Let j = 4 + -1. Let k be (o\/(-4))\/(j + 9\/(-2)). Solve k*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 16*y + 1. Let b be g(-1). Let s = -9 - b. What is the smallest common multiple of 7 and s?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 22*x + x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -22 + -53 + 46 - -15?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12499 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -47, -44, -39, -32, -23, -12, 1?\n\"Answer: q**2 - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 769528 (base 11) to base 7\nAnswer: 13302433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -4*r + 6. Suppose 0 = c + 3*j + 3, 0 = -5*j + 1 - 26. Calculate the lowest common multiple of l(-3) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32.6 - 35. Let a = 7.6 - y. What is the second biggest value in a, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*q + 12*q - 48. Suppose 3*f - 450 = -q*f. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 63888397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express -y - 5*y**2 - 6 - 2*y**2 - 10 + 2 - 10 in the form z*y**2 + t*y + c and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*p + 4 = 2*o + 79*p, -o + 38 = -5*p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 5 = -0. Let z(b) = b + 1. Let t(h) = -2*h**2 + 8*h + 8. Determine w*t(l) - 8*z(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/6*16\/18. Let x be -34*8\/80 - -3. What is the second smallest value in r, x, -3\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 2 + 3*t + 5*t to a*t + i and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 11 and 49\/6 - ((-15)\/18)\/(-5).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = 2*z**3 - 4*z**2 - 4*z + 3. Let f(s) = -2*s**3 + 5*s**2 + 5*s - 4. Let l(r) = -5*c(r) - 4*f(r). What is the first derivative of l(t) wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 3 + -2 + 0 + 3. Let h be -4*(-8)\/(-160) + (-222)\/(-10). Let j be (-1 + -2)*v\/h. Put -4, j, -1\/7 in descending order.\nAnswer: -1\/7, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 15*g**3 - 120*g**2 + 70*g - 450. What is c(8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 7511947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-6349)\/(-28) + 3\/12?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -2*v**2. Let y(q) be the third derivative of 0*q + 6*q**2 + 0*q**4 + 0 + 0*q**3 - 1\/60*q**5. Give w(y(h)).\nAnswer: -2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 69.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/48 and 29\/78?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*u + 3*u + 58980 = 0. Suppose -4*y - y = -u. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 - 17*s**2 + 6*s - 19. Let z(l) = 2*l**3 + 34*l**2 - 13*l + 39. Let i(h) = 11*v(h) + 6*z(h). What is the hundreds digit of i(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/148808 and -31\/462.\nAnswer: 3124968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -6*k**3 - k**2 + 1. What is a(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 71131898*j**3*z**3 + j*z + 4733*j - 30*z**3 + 7*z**2 - z wrt j.\nAnswer: 426791388*j*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u**(-6)\/u)\/u**8)\/((u**(-2)*u)\/((u\/(u\/(u\/(u\/(u**(-3\/5)*u*u)))))\/u)) assuming u is positive.\nAnswer: u**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -314, -743, -1180, -1631, -2102?\nAnswer: -2599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9 + 14. Suppose 20 = l*q - 5. Find the second derivative of y**5 - 4*y + q*y**4 - 5*y**4 wrt y.\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -20 + 34. List the prime factors of -1 + b + 0 + -1.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + -29. Let w = 20 + n. Let p = w + 14. What is the nearest to 0 in p, 0.1, -1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - -6. Suppose 5*t - 17 = -4*z, w*t = -3*z - 2 + 6. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3293179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (6 - -5) + 5\/(560\/(-1274))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3\/4, 0.2, -1, 2\/3639, -14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(19) - (0 + sqrt(19) + 5)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 381?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -8 * 160047.\nAnswer: -1280376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8.3 - -7.8. What is the closest to -0.1 in 6\/5, -3\/8, d?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -130857*o = 2*i - 130862*o, -i = 3*i + 2*o - 24 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 286 - 2*s - 375 + 91.\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 3*n. Let b(s) = 11*s + 19. Let m(z) = 2*z + 3. Let x(g) = b(g) - 6*m(g). Calculate j(u) + 2*x(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 + -3. Let t = r + 5. Solve t*w - 3 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1572*k**2 - 97143*k**3 - 1572*k**2.\nAnswer: -97143*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10579*f**3 - 5348*f**3 - 5186*f**3.\nAnswer: 45*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -3*j**2 - 21*j + 6. Let p be i(-7). Suppose 8*y = 5*y + p. What is the remainder when 7 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 + 10. Let x(p) = 2*p**2 - 2*p - 2. Let r(j) = -2*j**2 + j + 1. What is b*x(k) - 3*r(k)?\nAnswer: 2*k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + v = -6, -1 = 3*r - v + 3. What are the prime factors of (-2575)\/(-50)*(r + (-12)\/(-2))?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 75*r**2 + 12*r + 16. Calculate s(-2).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(567))**2 + -2 + sqrt(700).\nAnswer: 100*sqrt(7) + 590","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together 36924 and -13.106526.\nAnswer: 36910.893474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(140) - sqrt(140)*-4)\/sqrt(10) + sqrt(14))\/(sqrt(2) + (sqrt(2) - (sqrt(2) + sqrt(12)\/sqrt(6)))*-3).\nAnswer: 3*sqrt(7)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 3 - 4 + 1 - 3 + 4 + (0 + 2 + 0)*(5 - 5 + 1) + 1 + 3 - 3 + 1 + 1 - 3)*(255*n**3 - 121*n**3 - 82*n**3).\nAnswer: 104*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-402)\/130 + (-4 - -8) + (-96)\/160. Solve -a*t + 18\/13*t**2 + 0 = 0 for t.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5735832 and 9246.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) -0.21 (c) 0.05 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27516 is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-14) + (-134)\/14. Let k = -6 - h. Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 177251.6+2\nAnswer: 177253.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r = -2*r - 236. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3218*q - 137801 - 151819 for q.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-29.85.\nAnswer: -59.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*v - 58 = 37. Suppose 7*l + 7 = v*l - 3*k, -2*l + 4*k = -14. Let n(m) = m**3 + 3*m**2 - 6*m - 5. Let d be n(-4). Solve l + 2 = d*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -38222 + 152769. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1595 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 8.8 (c) 4 (d) 4\/3 (e) 3 (f) 2\/5 (g) -67\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 328 minutes before 9:24 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 6403941 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**3 - 22*g**2 - 4*g + 12. Let r be h(-22). Let w = 801 - r. What are the prime factors of w?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25037 < 25113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2 - 3*q + 4 + q**2 + 8*q**2 - 6 + q**3. What are the prime factors of t(-9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:34 PM and 9:33 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -105 - -111. What is the remainder when 38 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 0*o + 112 = 0. Calculate the greatest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - 1 - (0 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (19 - 10 + 16)*(1 - 4*s - 13*s**2 - 16*s**2 + 31*s**2) to the form p*s + n*s**2 + h and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 126 divided by 42\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -3*l - l + 43 - 79 + 2*l**2 + 38. Determine f(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 39\/(-78)*(5 + 1 + 0). What is the hundreds digit of a\/(-12) + 4\/(32\/1046)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.09 + 0.1. Let q = 221 + -221. Which is smaller: q or d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 13\/128, -5, 2\/5 in increasing order.\nAnswer: -5, 13\/128, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-2)\/(-4))\/((-22)\/220). Let m(y) be the second derivative of -y**3 + y - 3*y**2 - 1\/12*y**4 + 0. What is m(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 PM and 7:16 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n - 0*n - x + 3, 0 = -n - 5*x + 27. Let q(m) = -2*m - 2*m**2 + 4*m**2 + n*m. Let y(o) = 4*o. Determine q(y(p)).\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 200096 and 1480?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 227, 222, 215, 206, 195, 182, 167?\n\"Answer: -w**2 - 2*w + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -917090, -917091, -917092?\n\"Answer: -k - 917089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2.06 - 0.06. Suppose -498*z + 506*z + 40 = 0. Which is the nearest to y? (a) 2 (b) 1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -14 + 10. Let i(a) = -a**2 - 11*a - 8. Let h be i(t). Solve -4 = -4*f - h for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -11*v**3 + 8*v**2 - 51*v - 5. Let q(x) = -x**2 + 1. Let l(z) = -o(z) - 5*q(z). Find the second derivative of l(n) wrt n.\nAnswer: 66*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*d**3 - 3*d**3 + d**3 - 3*d + (-2*d**2 + 5*d**2 - 2*d**2)*(6 - 6 - 3*d).\nAnswer: -5*d**3 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -206 + 208. Suppose -23*c + 294 = -m*c. Solve -5*q + 6*n - 2*n = c, -n + 1 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 759765018 to the power of 1\/2, to the nearest integer?\nAnswer: 27564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 13*p**3 + 40*p**2 - 237*p - 723. Give x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 49.4 and -0.72?\nAnswer: -35.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -7. Let d = 2\/257 + -263\/771. Let g = -46 + 45.8. Which is the closest to d? (a) v (b) 2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 5 + u)*(-u - 3*u - 2*u).\nAnswer: -6*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, b: 1, h: 2, y: 1}. Give prob of sequence hhy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 11*m - 22. Let v be h(13). Find the third derivative of -v*l**4 + 125*l**4 + 116*l**2 + 7*l**6 - 23*l**2 - 21*l**6 wrt l.\nAnswer: -1680*l**3 + 96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**2 + 2*m - 5. Give w(7).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 407 (base 9) in base 11?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 246 + 232 - 4*s - 514 in the form c + l*s and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1236752, 2473508, 3710262, 4947014, 6183764?\nAnswer: 7420512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 23 - -155355952046\nAnswer: 155355952069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 47370 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 10*h + 304. What is s(-19)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/9 + 128928664*u\/3.\nAnswer: -2*u*(u - 193392996)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -937*y = -2*l - 932*y - 59, 4*y = l + 49 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/7 (b) 5 (c) -437 (d) 85\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 523*n**3 + n**2 - 1. Let b be v(1). Suppose 3*l = 4*h + 27, -3*h + 4 + 12 = 5*l. Suppose 0 = l*a + b - 5018. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.98 - 4.1. Which is smaller: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 22220302140?\nAnswer: -22220302131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -4*p, 2*d - 10 = -d - 2*p. Let f be d\/40*4*-1. Let n be 8\/(-6) - (-2 + 2). Which is the biggest value? (a) n (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -354*b**2*w**2*x + 270*b**2 + 2*b*w**2 + 2*w**2*x wrt x?\nAnswer: -354*b**2*w**2 + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 369 in -1\/2, -1, -1\/10, 0.05, 2.38?\nAnswer: 2.38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -3, -21, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -77*a**2 + 10858*a - 112. What is l(141)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -55807312*j**4*u - 49*j**2*u - 2*j**2 - j - 170595*u wrt j.\nAnswer: -1339375488*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 252302 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -220012310131 (base 4) to base 5.\nAnswer: -10142414233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = c - 20*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34132600*l**2 - 1053880*l - 15.\nAnswer: 68265200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**(-5))\/s**(-6)*s**(-2)*(s*s\/(s\/((s\/((s\/s**4)\/s)*s)\/s))*s)\/s*s)**24)**(7\/3) assuming s is positive.\nAnswer: s**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 11:30 AM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 3*b - 5, -30 - 1 = -4*m - b. Let f be -4*(-4)\/m*1. Suppose i - f - 16 = 0. 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: Collect the terms in 218 - 234 + 3*u - u - 29*u**2.\nAnswer: -29*u**2 + 2*u - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 7047 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -2*a - 8. Let j(p) = -2*p - 8. What is -5*f(u) + 6*j(u)?\nAnswer: -2*u - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 50386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 3*p. Let y(x) = -6*x**2 - 10*x + 100. Let w(b) = b**2 + 2*b + 7. Let c(n) = 5*w(n) + y(n). Calculate f(c(m)).\nAnswer: -3*m**2 + 405","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4599072, -4599098, -4599174, -4599324, -4599572, -4599942, -4600458, -4601144?\nAnswer: -4602024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 888 and 12132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59468 is divided by 11671.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = 2*o - v, -135127*o - 4*v = -135129*o + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Let t(y) be the second derivative of y**5\/4 + 13*y**4\/12 + 5*y. What is the third derivative of t(p) wrt p?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/15 + (-188)\/60. Let f(k) = 2*k. Let h(j) = -3*j + 1. Give n*h(p) - 5*f(p).\nAnswer: -p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 146291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ymy when three letters picked without replacement from iymnuuhhmmyh?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -44.8 - -45. Let o = 0.9 - 1. What is the second biggest value in q, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 9 - 15. What is the common denominator of ((-6)\/(-36))\/(w\/268) and -21\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7155 > 7152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 18*b**2 - 13*b - 32. Let s be g(-2). What is the highest common divisor of 48 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6586 and 48134.\nAnswer: 158505262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand f**3 + 3*f**3 + 0*f**3 + (5*f**2 - 6*f**2 - f**2)*(0 - f + 0) + 3 - 3*f**3 - 3 + 0 + 2*f**3 + 0 + (-f**2 + f**2 + f**2)*(-3*f + 4*f + 2*f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 6*u - 317. Calculate g(54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 177398 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = j**3 - 39*j**2 + 5*j + 1296. Let y be h(38). What is the greatest common divisor of 20454 and y?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - 6. Let v = 10 + -7. Suppose k + v = 2*k. Let t be -1 + -1*(2 - k). Determine c(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 41 + -34. Suppose -3*w + 450 = -j*w - 3*f, -2*w - 3*f = 228. Let m be (2\/w)\/((-2)\/(-30)*5). Which is bigger: m or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -5*p**4\/4 + 25*p**3\/6 - 5*p**2 - 19*p - 87. Factor n(x).\nAnswer: -5*(x - 1)*(3*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5\/7 + 2\/7. Let q be 32 + 1\/j*-1. What is the tens digit of q - (-1 + 2 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 33 + 23. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 119818*w**4 - 168*w**2 - 152*w?\nAnswer: 2875632*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = -3*p + 4*u, 0 = p - 2*p - u + 15. Suppose p = 3*m - 58. Let q = m + 33. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:17 AM and 2:45 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((sqrt(204)*2)\/sqrt(12))**2 + (sqrt(17) - (2 + sqrt(2057)))**2 + ((sqrt(17) - (-3*sqrt(17) + -4)) + 0)**2 + -3.\nAnswer: 72*sqrt(17) + 2062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 2, a: 4, w: 4, n: 4}. Give prob of sequence nn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 918 and 2?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 5*v - 19760*v**2 + 22*v**3 + 19890*v**2 - 16*v**3 + (2*v + 0*v - 4*v)*(3 - 3 - 2*v**2) as m*v**3 + u + n*v + s*v**2 and give s.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -13*v - 172 + 172 + (-3 - 1 + 3)*(-v - 2 + 2).\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 15 + 705?\nAnswer: 71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o. Let l(f) = 4*f**2 + 13. Let s(k) = -1 + 3 + 3*k**2 + 1 - 2*k**2. Let a(r) = 6*l(r) - 26*s(r). Calculate a(m(n)).\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**2 - 9*s - 10. Let d be o(-7). Let m(x) = -5*x - 4. Let v(j) = -3*j - 3. Let b(l) = 5*m(l) - 8*v(l). Let r be b(d). Solve -2*n = -r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of -w**7\/7 - 5*w**4\/2 + 28*w. What is the third derivative of r(q) wrt q?\nAnswer: -360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 46\/5 of a millennium?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 - -10. Let g = 5 - z. Suppose 0 = -f + 2*a + 56, -g = -2*f + 2*a + 101. What is the common denominator of f and -59\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17491, -17554, -17611, -17662, -17707?\nAnswer: -17746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - 1. Suppose -4*d = a + 20, -a = a + 3*d + 15. Give u(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 423, 1675, 3761, 6681, 10435, 15023, 20445?\nAnswer: 26701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b + 21*i + 874621, 349878 = 2*b + 12*i - 13*i. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (12\/((-2784)\/1276))\/((-1)\/10)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -a (base 11) in base 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -127, -291, -521, -817, -1179?\nAnswer: -1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round -3664.492 to zero decimal places.\nAnswer: -3664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*i = -35*f + 11*f - 99, -3*i = 3*f + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -231.33 - -231.2. Sort -5, a, 2 in decreasing order.\nAnswer: 2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62211.\nAnswer: 3, 89, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*j + 1846 = 6*j. Suppose 138*p - j*p + 1096 = 0. Suppose c - p = -b, -5*c = -2*b - 2*b - 1406. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-20 - -15) - 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (30 - x**4 - 30)*(-x + 0*x + 3*x) + (x**5 + x**5 - x**5)*(20 + 6 - 9).\nAnswer: 15*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 117204 and 5448.\nAnswer: 53210616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**3 - 3*a**2 + 13*a + 36. Calculate g(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1260 divided by 630.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n. Let k(u) = -380*u + 388*u - 1 + 3. What is k(l) + 5*o(l)?\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2095 + -2095. What is the nearest to 1\/2 in 3\/4, c, -7?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9*p**3 + 21*p**3 - 7*p**3)*(1 - 11*p**2 + 11 - 9 + (6 + 0 - 4)*(3*p - p**2 - 3*p)).\nAnswer: -299*p**5 + 69*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1 - 3) + 3)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/35*(-84)\/60.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/7506 and 101\/176547792.\nAnswer: 1588930128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**29\/a*a)\/(a\/(a\/(a\/a**(4\/7))))*(a**3\/a)\/(a*a**22) assuming a is positive.\nAnswer: a**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0 + -4. Let c(b) = 168 - 160 + 10*b - 9*b. What is the units digit of c(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -11*z**2 - z + 2. Let v(b) = 122*b**2 - 31*b + 298. Let d(j) = -4*v(j) - 44*y(j). Find h such that d(h) = 0.\nAnswer: 10, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 776 divided by 159\nAnswer: 776\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -11 and 0.01?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3 + 507*d**2 + 2654*d - 2654*d + 3 to the form w*d + q*d**2 + z and give q.\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30318 and 106602.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12816 + -12814. Sort 3, -6\/13, v, 26 in descending order.\nAnswer: 26, 3, v, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0006470303 to 5 decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 360.25 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -10 - -7. Let z = -483042\/37 + 13056. Let h = 524\/555 - z. Which is the nearest to 0? (a) 2\/3 (b) m (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -12.9 - -13. Let v = -19 + 14. What is the closest to -0.1 in v, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*s + 4*s + 12. Suppose 20 = -s*y + y. Let n be 5\/y*(1 + 5). What is the second smallest value in -2, n, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -644391 by -644391.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 d when three letters picked without replacement from {c: 6, d: 4}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 4 - 2)*(17 - 17 - 5*i**3) - i**3 + 0*i**3 + 2*i**3)*(3 + 2 - 1).\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1478021220 divided by 5889\nAnswer: 250980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-19)\/95)\/(2\/10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/10*8\/(256\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -5*r**2 + 3*r. Let f(h) = -11*h**2 + 5*h - 1. Let m(q) = 6*f(q) - 10*j(q). Differentiate m(w) wrt w.\nAnswer: -32*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of p**4 + 239*p**3 + 2*p**2 + 298*p wrt p?\nAnswer: 24*p + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 83.50481 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = h**3 + 10*h**2 + 28*h + 11. Let x be s(-9). Let q be (4\/30*6)\/((-32)\/x). Solve 5*o = -q - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 9 + 14)*(0*c**2 + 0*c**2 + 2*c**2)*(-2 + 2 - 2*c**2).\nAnswer: -28*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10 + 15 + (-35 - -4) - (2 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 + -1)*(-4)\/8. Let s = z + 2. Suppose 0 = 14*w - 7*w - 14. Which is the closest to 1? (a) -0.3 (b) w (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((6*j**2 - j**2 - 3*j**2)*(j + 1 - 1) - 102*j**3 + 159*j**3 - 80*j**3)*(j - 3*j + j - 2*j + 0*j + 3*j + (-3 + 1 + 0)*(-2*j + 5*j - 4*j) - 4*j + j + 4*j).\nAnswer: -63*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -82248 plus -24225?\nAnswer: -106473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2 - 15*q + 39. Let y be x(-17). Suppose y*l - 138 = 972. List the prime factors of l.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 138051603?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s + 20 = 3*s. Suppose s*k + 14605 = -v - 7544, 0 = v + 4. Let h = 146119\/33 + k. Find the common denominator of -82\/33 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 124?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor j**3\/3 + 157813*j**2 + 18685570200*j + 1624450340304.\nAnswer: (j + 87)*(j + 236676)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1082 is divided by 266?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 2. Suppose g*k + 8 = 0, -2*b + 0*b - 24 = 4*k. Let o = b + 12. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*w + 185 - 185.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes before 2:15 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*m + 573 = -397. Which is greater: m or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) be the second derivative of 0*r**2 - r + 0 + 1\/10*r**5 + 1\/15*r**6 + 0*r**4 + 0*r**3. Factor u(a).\nAnswer: 2*a**3*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4698 and 5046.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1111101111110001 (base 2) to base 4.\nAnswer: 33233301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01066998 rounded to 5 decimal places?\nAnswer: -0.01067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes after 11:17 PM?\nAnswer: 12:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 5, -0.1, 1\/8, -5, 52, 1, -353?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 0.8717625 months?\nAnswer: 0.000072646875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 242493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/(-30) - 74\/(-10) - 3. Suppose -p*u = -3*n + 265, -3*n + 0*n + u = -280. What are the prime factors of n?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kc when two letters picked without replacement from kccfcfkck?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = 31 + -39. Let q be ((-41)\/2 + 1)\/(6\/d). What is the greatest common divisor of q and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*j + 24869 - 49741 + 24872.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*m = -4*u + 120, -157*u - 5*m + 62 = -155*u for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**2 - 4*z + 7. Suppose 12 = 10*p + 72. Let o be 104\/(-16) + (-9)\/p. Give f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.047, 0.08, 60, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvvvvvvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 513\/7 - 73. Let b = -27.8 + 27.734. Let v = b + -0.134. Put -2, 1\/4, i, v in descending order.\nAnswer: i, 1\/4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*r - 88*r + 6*p - 2*p = -43*r - 173, -16*r - 5*p = 988 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000167371 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 0 + -1 + (-170)\/1105 + 2\/13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 16413741 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -7097694.73 rounded to the nearest 10000?\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -365 divided by -12?\nAnswer: 365\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x + 4 = 10. Suppose 0 = 3*w + x*b + 1, 5*w - 4*b - 13 = -0*b. Solve -c + 5 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-91)\/(-28) + 9\/12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1694) - (sqrt(1694)*2 - sqrt(1694) - sqrt(1694)) - (sqrt(1694) - -1*sqrt(1694)))\/(-4*2*sqrt(7) - (sqrt(252) + sqrt(7))).\nAnswer: 11*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*m**2 + 133*m**2 + 35*m**2 - 113326*m + 113326*m.\nAnswer: 164*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + 0 + (-5 - -4). Let m(f) = 1 + 294*f - s + 53*f + 69*f. Is m(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 + 5*v**2 - 5*v + 8. Let w be a(4). Let p(l) = l**3 + 7*l**2 + 5*l - 6. Let r be p(-5). Suppose 3*b + w = r. Let d(t) = 2*t - 6. Calculate d(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (15 - (1050\/56 - 0))*(-4)\/10\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -76*p + 330*p - 83*p - 83*p - 85*p + 7. Let t(g) = g + 1. Calculate f(v) - 2*t(v).\nAnswer: v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74, -232, -496, -866?\nAnswer: -1342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**3 - 6*q**2 + 6*q - 5. Let l be t(-7). Let w be ((-105)\/28)\/15*0. Solve w = l*v + 2*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1730 - 1735. Sort -4, 1.76, y, -5\/2 in increasing order.\nAnswer: y, -4, -5\/2, 1.76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 10*t + 8. Let b be u(7). Let h be (-12)\/b - (-2)\/13. Solve -2\/5*l**2 + 2\/5 + h*l = 0 for l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/75*1\/(-12)*10?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9512201.\nAnswer: 1787, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*v**3 - 45*v**2 + 150*v + 40 = 0. Calculate v.\nAnswer: -4, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 569455035 divided by 37963669?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-12)*(-146)\/292?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2862287143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -933 divided by 3.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3682262*j + 2417927*j - 7024543*j - 4372045*j.\nAnswer: -12660923*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d be 625\/(-1700) - 4\/(-34). Suppose 3*n + 2 = 11. Let o be (7\/21)\/((-16)\/n). What is the second biggest value in o, d, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -221*x + 20*x - 45900 = 670*x - 21*x for x.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -36 - -90. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**2 + 445*v - 2212. Give w(5).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**3 + y**2 - 20*y - 4. Let d be h(-24). Calculate the highest common factor of 35 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 9*z**3 + 2021*z**2 - 4047*z + 11. Determine y(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 44079*b**3*t - 275115*b**3 - b*w**3 + 3*t*w**3 wrt t.\nAnswer: 44079*b**3 + 3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 171\/2 - 86. What is the nearest to k in -3, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1386.3 + 1509. Let k = f - 129. Let l = -1.3 - k. Which is the biggest value? (a) -4 (b) -1\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5388 rounded to the nearest 100?\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -35\/2, -4, 1\/4, -22 in decreasing order.\nAnswer: 1\/4, -2, -4, -35\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3001 + -10?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -17972 + 17974. Let p(z) = 2*z**2 + z - z - 1. Let d be p(-1). Put i, -4, d in descending order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 AM and 10:54 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 402 minutes before 2:46 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1879 and 10.\nAnswer: 18790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*p - 8*p + 4*d = -1, 0 = p + d + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -470*m**5\/3 + 12533*m**4\/2 - 156490*m**3\/3 - 742933*m**2\/6 - 65305*m - 208\/3 = 0.\nAnswer: -1, -1\/940, 16, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**3 + 12*q**2 + 44*q + 350. What is f(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88 is divided by 82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of f**4\/4 + 2*f**3 + 3*f**2\/2 - 2*f + 172. Calculate c(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*o - o + 5*o - 9*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 93, 187, 281, 375, 469, 563?\nAnswer: 657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1791 divided by 3852.\nAnswer: 199\/428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j - 2*j + 0*j)*(j + 2*j - j)*(11 - 5 + 4).\nAnswer: -80*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 814528, 1629252, 2443976, 3258700, 4073424?\nAnswer: 4888148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h + 41505 = -23495. What is h rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u = -5*c + 18, c + 2 = -3*u - 4. What is the remainder when ((-8)\/24)\/(2\/(-30)) is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = 283*k + 461. List the prime factors of m(10).\nAnswer: 3, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k - 4*l - 25 = -2*k, -2*k = -5*l - 35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1517160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 5*w + 348 = 381, 5*w = i + 27 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 32256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5531177.\nAnswer: 239, 23143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 334 - 1616?\nAnswer: -1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 13089220 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0*7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 2702352 = 48*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 5302584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 5770a95 (base 11) to base 5.\nAnswer: 10040321323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4*z**5 + 6937219*z**4 + 15258014*z**2 wrt z?\nAnswer: 240*z**2 + 166493256*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 17.3*25\nAnswer: 432.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2\/17671 or -1?\nAnswer: -2\/17671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**3 + 52*k**2 + k - 55. Let p be s(52). Let g(d) = 4*d + 13. What is g(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59931?\nAnswer: 3, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -31819584 divided by -6?\nAnswer: 5303264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**2 - 3*p + 31. Let d(m) = -m**3 + 7*m + 1. Let k be d(3). Let l be a(k). Calculate the highest common divisor of l and 70.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 4091790379 and 4466?\nAnswer: 4091785913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3 - (-14)\/(-6))*9. Let v be (-340)\/(-55) - c - (-53)\/11. Solve l = v*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 4408572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11076760 and 1200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -58 in 0, -2, 328330\/9, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -0.31 * -2.1585\nAnswer: 0.669135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/50 and -19\/1060.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, -209, -220.\nAnswer: -220, -209, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w + 40. Let b(l) = 10*l - 220. Let p(j) = -2*b(j) - 11*y(j). Let z(x) = 134*x + 5. What is z(p(v))?\nAnswer: 268*v + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1))**(-3\/2)\/(b\/(b*(b\/b**(-1))\/b)*b*b**(-9\/5)) assuming b is positive.\nAnswer: b**(33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -34e + -da9?\nAnswer: -10f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 8\/5091 and -91\/8010.\nAnswer: 13592970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2512 and 34316432?\nAnswer: 2512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 9*d + 123. Let t be r(-7). What is the highest common divisor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = p**2 - p + 4. Let j be t(4). Let x = -3 - -6. Suppose x*f = 7*f - 320. What is the highest common divisor of j and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = -2*h + 171 - 3, -5*o + 4*h = -456. Suppose 8*c + 44 - 124 = 0. What is the remainder when o is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + h**3 + 204*h - 31*h + 2*h**4 - 9*h to j + i*h**2 + d*h**4 + y*h**3 + b*h and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1423968410.\nAnswer: 2, 5, 23, 137, 45191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (3*r + 2 - 2)*(4 + r - 4)*(0 - 5 - 1) in the form m*r + p*r**2 + a and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 3*c - 75 - 504 = 0, 0 = 2*c - 6. Suppose 5*u + x = h, 3*u + 3*x = 6*u - 96. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16900)\/975)\/((-92)\/(-207)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the third derivative of 5*c**4\/24 + c**3\/2 - c**2. Suppose 4*a + 1 = -23. Let s(r) = 7*r + 7*r + 5*r + 7*r - 5 - 35*r. Give a*s(m) - 11*f(m).\nAnswer: -m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15456000 = 181*q - 189*q. Round q to the nearest 100000.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 10*f. Let c(v) be the third derivative of v**5\/60 - 27*v**2. What is c(x(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2216*l**2 + 4630*l**2 - 1669*l**2.\nAnswer: 5177*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-8)\/(f\/f**11) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 64.81 to zero dps.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**2 - 2*x + 4. Let s(d) = 64 + 2*d + 0*d**2 + 57 - d**2 - 126. Determine 4*l(g) + 3*s(g).\nAnswer: g**2 - 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2 - 0. Let u = 0.148 - 0.223. Let w = u - -0.075. Which is the biggest value? (a) -0.2 (b) j (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes before 3:17 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 4072 divided by -68964?\nAnswer: -1018\/17241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**3 + 5*b - 5. Let g(j) = -j**3 + 6*j - 5. What is 5*g(t) - 6*x(t)?\nAnswer: t**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -404 - -173. Let f = z + 251. Is f a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 53 = 4*v + 69 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 6:43 PM?\nAnswer: 3:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1.19 + 0.6. Let g = -0.5900144 - t. Round g to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7535439 to the power of 1\/2, to the nearest integer?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 0, -19, -42, -69, -100, -135, -174?\n\"Answer: -2*g**2 - 13*g + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 14. Let c = w + -11.5. Put 0, 3\/10, c in descending order.\nAnswer: c, 3\/10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 26*o**2 - 3582*o - 3641. Let r(v) = 5*v**2 - 717*v - 728. Let g(j) = -11*r(j) + 2*t(j). Solve g(u) = 0 for u.\nAnswer: -1, 242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 42 - 15. Suppose -3*k + 4*m - 28 = 28, -3*m + z = -k. Let p = k + 41. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 112 (b) -5573 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 417130213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 953704393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 313913 = 7*h + 1462333. Round h to the nearest 1000.\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 + 4*m - 1. Let q be l(3). Suppose 6 = -4*r + 5*b + 35, 0 = q*b + 2. Solve -5*k + r = -2*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -41*n**6\/6 + 59*n**5\/5 - 134*n**3\/3 - n**2 + 11*n + 7094. What is the third derivative of y(l) wrt l?\nAnswer: -2460*l**2 + 1416*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 4*v + 8. Let h(u) = 7*u. Determine h(m(g)).\nAnswer: 28*g + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -20 + 17 + -21 + (-4 - 1) + 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2751*z + 13*z**3 - 30*z**3 + 15*z**3.\nAnswer: -2*z**3 + 2751*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.001699507 + -0.0017. What is n rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4.852 (b) -3 (c) 295\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 + 19. Let c be -12 - (-85)\/8 - -1. What is the closest to 1 in i, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 26*s**2 + 57*s - 148. Let u be c(11). Calculate the highest common divisor of u and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -29.95 and 7?\nAnswer: -209.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/3, -32, 4.\nAnswer: -32, -2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -5*m + 575, 8*q - 3*q = -m + 2923. Calculate the highest common factor of 1105 and q.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 289422045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 48802716029 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31872 is divided by 63?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 39 - -10 - (9 + 12)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7144*a**2*l**3*y - 3*a**2*l**2*y**3 + 3*a*l - 2*l**3*y**3 - 27*l*y**3 - 13*y**3 wrt a.\nAnswer: -14288*l**3*y - 6*l**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/6 - 22\/6. Let o(b) = b - 7. Let l be o(6). Let v = l - d. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 925\/740*(-1)\/(3\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d - 5. Suppose 4*a = -0*a - 28. Let r be f(a). Let i(j) = -j**3 + 5*j - 3 - 3*j - 2*j**2 + r. Give i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d + 3*d - 4*d + (1379 - 688 - 689 + 14*d)*(0 + 3 - 1).\nAnswer: 25*d + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 111*a**5 - 129*a**2.\nAnswer: 6660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13 - -18 - 19) + 26 + -17 + (2 - 88)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2809903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1679815210 to the power of 1\/2, to the nearest integer?\nAnswer: 40986","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1*sqrt(720)*3 + sqrt(720) + (1 + sqrt(720))*6 - (sqrt(720) + 1 + sqrt(720) + 0 + (-1 + sqrt(720))**2*-2)) + 3.\nAnswer: 48*sqrt(5) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-124)\/(-1)*13\/52. Suppose -f*z = 4*z - 21280. List the prime factors of z.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 656 is divided by 262.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 + (-2 - 0) - -2. Let y be -2 - 3\/(2 - f). Let o be (0 - 1)\/(1\/y). Solve -4 = -2*i + 3*s, -6 = -o*i + 4*s - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from dmvvjvjdvcddjjcvjdjc. What is prob of sequence mjdd?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 25.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 232, -26, -1278, -4022, -8756, -15978, -26186, -39878?\n\"Answer: -83*f**3 + f**2 + 320*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5009735 a multiple of 1042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 214.5 times 4?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*q**2 + 0*q + 0*q + (0*q + q - 4*q)*(5*q - 2 + 2).\nAnswer: -13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 37*d = 38*d - 4. Suppose 2*l + 3*l - 20 = 0. Solve 0 = -2*o - l - d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 5*i + 1. Let c = 4 + 3. Let d(m) = -4*m - 1. Give c*d(j) + 6*w(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 239056 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -63 + 234. Let k = -165 + m. Put 0.5, k, 11 in decreasing order.\nAnswer: 11, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 - 9*q**2 - q - 15. Let v be n(-9). Let k be (-15 - -2)*-2*(-3)\/v. Suppose 0 = -3*a + k*a - 110. What is the highest common divisor of 55 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -744966973 and -0.2.\nAnswer: -744966973.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 271*p - 8891 - 9233 = -17311 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2861*m - 2859*m - 5*i - 45, -3*i + 141 = 3*m. Are -4 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -678, -1379, -2064, -2727, -3362?\n\"Answer: g**3 + 2*g**2 - 714*g + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 516308323 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 5*s. Let x be (3 - -6)\/(-2 - 26\/(-10)). Let v(o) = x*o**2 - 33*o**2 + 22*o**2. Calculate v(g(d)).\nAnswer: 100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 PM and 11:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 0*s = 4. Let u(y) = -y - 4. Let c(k) = 1. Determine s*u(m) - 3*c(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/10 + 0 - 21\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 32541130 and 2220.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y, -17 + 33 = -2*f - y. Let d(m) = m**3 + 6*m**2 - 19*m - 24. Let p be d(f). Solve -4 = b - 4*k, -8 = -b - p*b - 2*k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4722, 4721, 4720, 4719?\nAnswer: 4718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 39823, 80062, 120301, 160540, 200779, 241018?\nAnswer: 281257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 4*t**3 - 10*t**2 - 5. Let i(d) = -d**3 + d**2 - d - 1. Let o(c) = c**2 + 4*c + 1. Let l be o(-4). Let x(z) = l*n(z) + 5*i(z). Is x(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 19*q + 219. Let l be y(-12). What is the biggest value in -3\/2, l, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 360056?\nAnswer: 2, 45007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1202 a factor of 16806196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -13604865*t + 36029553 wrt t?\nAnswer: -13604865","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(12) - ((sqrt(12) + sqrt(12)*2)**2*-1 + sqrt(12)) - (sqrt(3) + 2 + sqrt(3)*1 + -1)**2.\nAnswer: -4*sqrt(3) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -66727, -66612, -66497?\nAnswer: -66382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 192 is divided by 42?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 - 8*f**2 - 10*f + 12. Let d be a(9). Suppose -6*q = -d*q - 90. Suppose 0 = y - 0*n + 3*n - q, 127 = 4*y + 5*n. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 - (57 - (15 + 3)) - -9?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 964 = -5*i, 130*m - 125*m + 2*i - 2468 = 0. List the prime factors of m.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of -3*z**2\/2 + 3. Let a(u) = u**2. Calculate a(c(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**2 - 4*n + 1. Let q be k(-2). Suppose 71 = 3*p + 4*c, p - 105 = -3*p + q*c. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 74525511 + 0.1\nAnswer: 74525511.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -226, -231, -246, -277, -330, -411, -526?\n\"Answer: -z**3 + z**2 - z - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.171217 millilitres to litres.\nAnswer: 0.003171217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, i: 2, z: 5, d: 1}. What is prob of sequence ii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10 + 20. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -43230 divided by 3\nAnswer: -14410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 143775 (base 9) to base 6\nAnswer: 1515535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (sqrt(1300) + sqrt(1300)*-3 + 1 + sqrt(78)\/sqrt(6) - -2*(sqrt(468) + (1 + sqrt(468) + sqrt(468) - sqrt(468)) + 1)**2).\nAnswer: 77*sqrt(13) + 3758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 125335568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/240 - (130\/(-16) - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - 72?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - 5 - (-6 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 1 (b) -3\/8 (c) 19 (d) -30\/13 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 875960956 and 18?\nAnswer: 7883648604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 1:49 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gogp when four letters picked without replacement from {g: 7, p: 10, r: 2, o: 1}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5058992*h**4*r**2 - 3*h**4 + 17918*h**2 + 4190*h*r**2 wrt h.\nAnswer: -121415808*h*r**2 - 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3257347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g - x + 17 = 0, 4857*g + 7 = 4858*g - 4*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -3*a - 3*w - 2*w, -2 = a - w. Solve 1 = -h - 3, a*h + 15 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -v - 2*p, -3*v - 5*p = -16 - 24. Let u = v + 40. Suppose k - 22 - u = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1236 and 783212.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 2*z = -6, -2*z + 2 = a + 2*a. Let d(y) = y**3 + 5*y**2 - 4. What is the remainder when d(-3) is divided by (a\/6)\/(-2*(-5)\/120)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1687, -974, 941, 4658, 10777, 19898, 32621, 49546?\nAnswer: 71273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 16*h**2 + 13*h + 99. What is the hundreds digit of r(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of b**3*m**2 + 8*b**3*m + 2196*b**2 - 3*b*m**2 + 2*b + 14608*m**2 wrt b?\nAnswer: 6*b*m**2 + 48*b*m + 4392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -341*v**2 + 436*v**2 + 584*v**2 in the form o + n*v + d*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.5? (a) 0.1 (b) 9.545 (c) 4 (d) 0.2 (e) -3 (f) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4064 and 7732776?\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 17377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 2*k - 1490, 122 = -3*s + 5*k + 1016. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of 0*f - 14 - 1\/16*f**4 + 1\/6*f**3 - 1\/8*f**2. What is m in t(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b*l**3 + 15825252*b*l**2 + 3*b*l + 3117017*b wrt l.\nAnswer: -6*b*l + 31650504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 AM and 3:00 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -23396288 or -23396289?\nAnswer: -23396288","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: What is 628 minutes before 10:06 PM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 4*n = -20 + 124, 4*o + 2*n = 128. Suppose -4*f + 16 = -z + 29, 0 = -5*z + f + 141. Do z and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 7*f**3 + 13*f**2 + f + 2. Let m(t) = -4*t**3 - 7*t**2 - 1. Let r(z) = 5*m(z) + 3*o(z). Let y(g) = -2*g**3 - g**2 - g + 1. Let h be y(1). Give r(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2161289*c**3*n**2 + 22*c**2*n**2 - 29*c**2 - 2*c*n + 3 wrt c.\nAnswer: -12967734*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of -5*c**2\/2 + 2. Let n(g) = 4*g. Determine k(n(f)).\nAnswer: -20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 2*t**2 - 31*t - 12. Let y be g(16). Suppose 0 = -y*j + 2*z + 57 + 29, 4*z - 44 = -j. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -3*i - 5*p + 8, 3*p = -3*i + 27. Solve 0 = -3*g - 2*l - i, 4*g = 3*g - 2*l - 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 3*u - 43. Let m be x(21). Suppose 0 = 14*t - 9*t - m. Find the second derivative of 2*w**t - 2*w + 2*w**4 - 2*w - 2*w**4 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(7\/(-4))*308\/22.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.4, -12, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 177*v - 177*v - 178*v**3 - 1.\nAnswer: -178*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 + 6*h - 15. Calculate c(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 408, 418, 440, 480, 544, 638, 768, 940?\n\"Answer: l**3 + 3*l + 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1140107 is divided by 1804.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 6437992 divided by 292636\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 3, -27266.1, -1 in descending order.\nAnswer: 3, 2, -1, -27266.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140*u + 145*u - 25 = 0. Suppose -3*x + 28 = 2*i, 3*x + 2*x = u*i - 20. Solve -z + 4*k - 11 = 0, -4*z + 2*k - i = 4*k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**3 + 16*c**2 + 49*c - 1. What is k(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence acd when three letters picked without replacement from {j: 1, b: 2, d: 2, c: 5, a: 6}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -242 by -121.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*b + 18*b - 281 = 43 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -5*h**3 + 8*h**2 - 51*h + 79. What is j(2)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -5*y - 13. Let i(q) = 4*q**2 - q + 1. Calculate the remainder when i(-2) is divided by (-47)\/y - (-2)\/7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 5*h**2 + 1. Suppose 5*z + 319 = 459. What is the remainder when g(-4) is divided by z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 - -14. Let l = s + -1.9. Which is bigger: l or -19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.16524922491 to 5 decimal places.\nAnswer: -0.16525","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, a: 2, r: 1, m: 1, e: 4, s: 2}. Give prob of sequence ame.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(2 + (sqrt(168)\/sqrt(343))\/(6*1*sqrt(12)))*5.\nAnswer: 5*sqrt(2)\/21 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + k = 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -88, -174, -260, -346, -432?\nAnswer: -518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -28*x + 29*x. What is the lowest common multiple of 182 and x?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4\/(-11)*11\/(-2)*9 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35 - 28. Suppose 3*s = 5 + b. Suppose 72 = s*g - 28. Calculate the greatest common factor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*h = 3*h + 29*h - 1592929. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 323*t**3 + 15*t**3 - 105*t**3 + 41*t**3.\nAnswer: 274*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -5*k - 10. Does 2 divide (-2)\/(-10) - 29\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21361\/(-410) - -60)\/(12\/(-10)) + (-3)\/(-12).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1\/10 - 7\/30. Let y = -11.6 - -14.6. What is the second biggest value in b, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -297, -582, -863, -1140?\nAnswer: -1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the third derivative of -t**8\/2520 - t**7\/315 - 7*t**6\/900 + t**5\/450 + 2*t**4\/45 + 4*t**3\/45 - 7*t**2. Determine i, given that c(i) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/17280 and 203\/1980.\nAnswer: 190080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + -1*sqrt(162))*-3)**2*6 + (sqrt(128) - (-1*sqrt(128)*6 - sqrt(128)) - sqrt(20)\/(sqrt(160)*-2))**2.\nAnswer: -4860*sqrt(2) + 586305\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2137, -2318, -2497, -2674?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 10:12 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine s, given that -4*s**2 - 272*s + 560 = 0.\nAnswer: -70, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 52532?\nAnswer: 2, 23, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35\/106 - 1828\/159. What is the common denominator of -75\/2 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -9*d**3 + 5*d**2 - 5*d + 2. Let k be z(2). Let g = 113 + k. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-11)\/(-2) + (-1)\/2. Suppose -4*o = -6*o - 3*c - 28, -r*c + 14 = -o. Let s = o - -9. Which is greater: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2894, -2893, -2892, -2891, -2890?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81791848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 39596087*l**3*q**3 - 2*l**3*q**2 + 870*l**2 + 2*l*q**3 + l + 4614*q**3 wrt l.\nAnswer: 237576522*q**3 - 12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.004 and -5.953.\nAnswer: -5.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + l - 18 = 10, 2*y - l = -13. Let j = -126 - -124. Let s = j - y. What is the lowest common multiple of 8 and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:07 PM and 10:13 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + 0 + -5 - 0. Let s be -9 + (-10)\/(-6)*3. Which is bigger: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = a - 29. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 13301314 divided by 46\nAnswer: 289159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15919 less than or equal to -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zpi when three letters picked without replacement from {i: 2, p: 1, h: 5, u: 1, z: 11}.\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(-4)*1)\/((-17)\/34)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -8978971*u**3 - u + 50055515.\nAnswer: -26936913*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1.4 + -1.51. Let u = i + -2.29. Let s = -1.6 + u. Which is the second smallest value? (a) s (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/(-2)*(-2)\/(-6). Let c = w + 10. What is the remainder when 24 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18 - -19. Sort 0.1, a, -3, -0.2.\nAnswer: -3, -0.2, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -66388 + 199152 - 66382 + 4*c - 66383.\nAnswer: 4*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1206951 is divided by 357?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*h**3*q**6 + 11341*h**3*q**4 + 3972*h**3*q**2 + 4*h**2*q**2 wrt q?\nAnswer: -240*h**3*q**3 + 272184*h**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 23544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 10 + -9. Let y(o) = 8*o**2 - 1. Let w be y(t). Calculate the greatest common divisor of 56 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = 2*o - 31, 3*w + 0*w = -5*o + 79. Suppose -o*z + 20*z = 6246. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in eleven quarters of a micrometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -78254?\nAnswer: 39127","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 69354087 divided by 348513?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 - 45*m - 42*m + 139*m - 53*m + 0.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5632 - -5650.3472. Let u = -1.0238 - n. Let r = -0.171 - u. What is r rounded to 0 decimal places?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -6*a. Let x(l) be the third derivative of -l**4\/24 - 2*l**2. Determine y(x(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 17\/(-51)*-6 + 540653 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3300*i**2*m**4 + 2*i**2*m**2 + 54*i**2*m - 6434*i*m**4 - 1707*i*m**2 - 10*m**2 - 3 wrt m.\nAnswer: 79200*i**2*m - 154416*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.12 - -0.52. What is the closest to -2\/5 in -2\/9, -1\/3, y?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15, 91, 289, 669, 1291, 2215, 3501?\nAnswer: 5209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 2922984?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13240710.7999933 + -13240710. Let c = y + -0.8. Round c to six decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 73.186 to the nearest integer.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 0.4, -3, -1\/2, 5 in ascending order.\nAnswer: -3, -1\/2, 0.4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19848?\nAnswer: 2, 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 2*o + 4. Let w(z) = z**2 + 48*z + 82. Let r(n) = -15*m(n) + w(n). Calculate r(-13).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -4, 696 in increasing order.\nAnswer: -4, -1\/5, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11979 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.0450203 and 2.\nAnswer: -0.0900406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is (((4290\/44)\/(-39))\/(-5))\/28?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3636 and 4367240.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Multiply 0.3 and 478.\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 5*t + 75 = 15, 5*p = 4*t + 150. Suppose -7*x = 3*x - p. Solve 0 = x*y - 6*m + 2*m, 5*m + 15 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55 and 8019.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 80*x**3 + 4*x**2 - 3*x + 1. Let j be v(2). Suppose 10*l - j = 3*l. Suppose 3*c - 3*u - l = 0, -c + 0*c + 16 = 2*u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1951897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 134369169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 87\/2 of a tonne?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 848 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*o = -1139 + 1116 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 30*f**2 - 22*f + 205. Let s be n(-29). Solve 4*u = -4*g - 20, -u + s*g - 7*g - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27*f = 2956 + 99563. List the prime factors of f.\nAnswer: 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6871489 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of 3046.36995 and 605.5.\nAnswer: 3651.86995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 = 14*z - 9*z. Let g = z + 17. Suppose 3*q = -3*q + 24. Solve -3*c - 14 = 3*s + q, 16 = -g*s - c for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 545, 574, 605, 638?\nAnswer: 673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7*p**6 - 2895168*p**3 - 108315233*p**2 wrt p.\nAnswer: 840*p**3 - 17371008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1214375 and 1894425?\nAnswer: 47360625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(108) + 2 + 4)**2.\nAnswer: -144*sqrt(3) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 0 - 4)*(4*h - 6 + 6) + h + 0*h + h + (-5 - 2 + 3)*(2 - 2 + h))*(-5*h**3 + h**3 + 2*h**3).\nAnswer: 44*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2696 * -0.05184.\nAnswer: 0.013976064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 232 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the second derivative of -2*a**6\/15 + 1024*a**5\/5 - 341*a**4 + 4196*a. Factor o(b).\nAnswer: -4*b**2*(b - 1023)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 4*y - 72 = 0, -2*m - 4*y + 0*y = -44. Suppose -4*u + 22 = -m. Suppose 10*w - u*w = 2. Solve -3*h - 8 = -w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -6*m**5\/7 + 97050*m**4\/7 + 194694*m**3\/7 - 9222690*m**2\/7 + 4159800*m = 0.\nAnswer: -12, 0, 5, 16177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 + -12.4. Let o = -34 + 35. Let q = w + o. What is the smallest value in -6, 0, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 20.56 * 2.04\nAnswer: 41.9424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 297 = 2*q + q, 99 = q - 4*s. Calculate the remainder when q is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 2*s + 578 - 490 = 0, 0 = -2*a - 3*s - 33. Let q be (-2)\/(-3) - (-150)\/(-9). Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/b**(-2\/11))\/b**(2\/11))\/(b**(-4\/9)\/(b**3\/b)) assuming b is positive.\nAnswer: b**(31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -3*x**3 - 44*x**2 - 28*x + 50. Let w be f(-14). Solve -w = 608*q - 618*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s**2 + 1 + 4*s**2 + 4 - 4. Let k be y(1). Solve -2*x = -k*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5\/((-210)\/4) - (331907300\/(-105))\/20 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*j + 34*j - 6755 = 58*j. Which is greater: 1353 or j?\nAnswer: 1353","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*p**3 - 6*p**3 - 7*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.038929 - 117.002929. Round r to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 + 10 = -4*g. Suppose -20 + 80 = g*w. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 + 156 = 2*o. What is the remainder when 4*6\/(-6) - -1*o is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -1.2 (c) -0.18 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2213222831 to the nearest integer?\nAnswer: 47045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nzn when three letters picked without replacement from ezeerrerzeneenez?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 239903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2\/19 + 13158*v\/19 - 131040.\nAnswer: -2*(v - 6384)*(v - 195)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = -5*v + 6*a - 627, -2*a = 5*v + 607. Let o be 2 - v\/4 - 3\/(-12). Calculate the highest common divisor of o and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(9\/2)*g*g\/g**(2\/9)*g)**(4\/25) assuming g is positive.\nAnswer: g**(262\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/6, -14, -2.67343 in descending order.\nAnswer: -1\/6, -2.67343, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2742*328\/(-451)*(-11)\/6 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-19 + 11 - (-1 + -15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of -2781*(-21 + 77)\/(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (3 - 5 - (-3 - -9)) + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1.00612nm in centimeters?\nAnswer: 0.000000100612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3063\/99 + (-27 - 4)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pe when two letters picked without replacement from xep?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -87870, -87891, -87912, -87933?\n\"Answer: -21*g - 87849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-210)\/798*(110\/(-10) + 12).\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - 8. Suppose 2*w + x*w - 42 = -2*m, -4*w - 4*m = -44. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 314114.\nAnswer: 2, 157057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.36382 - 190.\nAnswer: -189.63618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**3 - o**2 + 11. Let j(r) = -r**2 + r. Let z be j(1). Let x be h(z). Suppose x = 3*g - 28. What are the prime factors of g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = 5*b**3 + 23*b**2 + 9*b + 5. Let j(u) = 4*u**3 + 15*u**2 + 11*u + 6. Let s(f) = 4*j(f) - 3*p(f). Give s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 - 3 = -3*g - 4*o, -3*o - 43 = -5*g. Suppose -1 - g = -3*h. Solve -5*k - h = 2*y + 11, -4*k = -5*y - 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor y**2\/4 + 111*y\/4 + 55\/2.\nAnswer: (y + 1)*(y + 110)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 248*i + 1344*i - 775*i - 12*i**2 - 817*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2334367361.\nAnswer: 18089, 129049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z**3 + 2696 - 2156 + z**3.\nAnswer: -2*z**3 + 540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 0)*(-t + 2*t + 0*t)*(-5*t + 5*t - 6*t**3)*(t + 0*t + 0*t).\nAnswer: 12*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(3) + -2) + (sqrt(3)*-1)**2*4 + (1*(sqrt(6)\/sqrt(2) + 4))**2.\nAnswer: 7*sqrt(3) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 50321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (36\/(-45))\/(10\/(-40) - 63467\/(-253900)).\nAnswer: 2, 5, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.1, -44, -6, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -154732289 + 1222711?\nAnswer: -153509578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1222 + -20?\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 897512129*a**2 + 274682243*a?\nAnswer: 1795024258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -85485 at least -87022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 626562 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*h = 15*h - 43 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 159570 and 387105.\nAnswer: 2955","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t + 3*t - 3*t)*(-12 - 1 + 1 - 1 + 2 + 1 + (0 - 2 + 4)*(4 - 2 - 3) - 4 + 1 + 2)*(9*t**4 + 5*t**4 + 9*t**4).\nAnswer: -897*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 3573233232?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - b + 1)*(-3*b + 3*b - 3*b) + (b - 6*b + 2*b)*(4 - 4 + b) + 0*b**2 + b**2 + b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + 19d0db1?\nAnswer: 19d0db5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 86 = 5*m - c, -4*c + 64 = 4*m. Let j = 33 - m. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v + 25, 0 = 2*t - 7*t - v - 70. Let b(z) = -7 - 10 - 13*z - 4*z**2 - z**3 - 10*z**2. Let k be b(t). Round k to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.20253 + 0.22253. What is the fourth biggest value in w, 5, -1\/17, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 971259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 1 + 1)*(0 + 0 - m) + (-2 + 5 - 2)*(-3*m - 45 + 45 + 3*m - 4*m - 2*m + (-m + 3 - 3)*(-5 + 4 + 3)) - 1 + 3*m + 1 as f*m + d and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.08 + -3.62. Let l = s + -1.3. Which is the second biggest value? (a) 5 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 - 7*g**2 + 7*g - 3. Let k be i(-8). Suppose 34 = 2*b + 3*a - 2*a, 40 = 4*b - 5*a. Let p be ((-7)\/2 + 4)*0\/2. Solve -k*x = -p*x + b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/510048 and -63\/184.\nAnswer: 510048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 906976 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 3*d - 1. Let u(o) = -o**2 - o - 1. Let t(g) = g**2 + g + 1. Let x(c) = -6*t(c) - 5*u(c). Let v(q) = s(q) + x(q). What is v(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 - 11.29.\nAnswer: -16.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*n - 4*n + 0*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 0*d - d - 3*d + (-3 + 4 - 3)*(-49*d + 267 - 267) in the form f + n*d and give n.\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 + 1. Let o(b) = -6*b**2 + b + 5. Give -22*d(h) + 4*o(h).\nAnswer: -2*h**2 + 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 PM and 12:52 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*r - 54*r + 214*r + 10718 = 0 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 335\/748 + 6579619\/11220. Let g = u + -586. Find the common denominator of g and 21\/(147\/(-4)) - (-445)\/350.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 19 * -28736274\nAnswer: -545989206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 274 + -98. Let v = -83 + p. Let t = -92.9999749 + v. Round t to 6 decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*l - 1825407 + 292379 = 0. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**2 + 5*u + 12. Let y be w(9). Let p = 14 + y. What is the units digit of (-10)\/(-3)*(-84)\/p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express o - 2*o + 4*o - o - 23 in the form w + r*o and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 37, 37, 25, -5, -59?\n\"Answer: -i**3 + 7*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40225038?\nAnswer: 2, 3, 7, 43, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/306 and -35\/33.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 31916585 to the power of 1\/2, to the nearest integer?\nAnswer: 5649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 230*w**2 + 26*w + 5. Let r(z) = -341*z**2 - 40*z - 8. What is -5*r(p) - 8*y(p)?\nAnswer: -135*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 75 = -0*w. Suppose 14 = a + g, -3*a + w + 13 = -4*g. Solve -a = -4*k, 2*k = -s + k + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21, 49, 77, 105, 133, 161?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = 2*s - 104. Suppose 4*p - 3*m = 49, 3*p = p - m + 27. Let k = s - p. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 11) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + (-13)\/(13\/(-2)). Let z be 275 + (1\/3 - (-28)\/j). Calculate the highest common divisor of z and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**13\/(f*f\/(f\/(f\/(f\/(f**(-12\/5)\/f)*f)))*f))\/(f**(-8))**(-32))**(-2\/21) assuming f is positive.\nAnswer: f**(802\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*o + 6 = -39*o. Sort -2, -1, o in increasing order.\nAnswer: -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -203735a (base 13) in base 3?\nAnswer: -200100121201000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.859737419 to three decimal places.\nAnswer: 0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-27*b**3 + 16*b**3 - 2*b**4 - 50*b**3)*(15 - 15 - 7*b).\nAnswer: 14*b**5 + 427*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 495*t - 51 = 498*t + j - 11*j, 16*t + 3*j - 66 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*z = 65*z + 15*z + 3990. Sort -4, z, 0, 1.\nAnswer: z, -4, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*t - 952*t - 121*t = 307*t + 105450 for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of 22*z**3\/3 + z**2 + z + 14. Is y(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1368)\/684 - 1\/(2\/7)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2298929465 to the nearest integer?\nAnswer: 47947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 4*b - 21. Let c be v(6). Let r(p) = -6*p + 176. Let t be r(29). Solve -t*j - 7 = 3*j - 3*a, -c = 5*j - 2*a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4a985 - -8?\nAnswer: 4a992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.1 - -5.1. Let m = -54 + 79. Let u = -25 + m. Sort 1, j, u in decreasing order.\nAnswer: j, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -222b4 (base 15) to base 4\nAnswer: -122201023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 176 = 2*d + 142*b - 144*b, -b + 182 = 2*d. Calculate the greatest common divisor of d and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13266 and 6986023.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 159, 632, 1393, 2424, 3707, 5224, 6957, 8888?\n\"Answer: -3*x**3 + 162*x**2 + 8*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 95052 to the power of 1\/2, to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 33 + 8 = 0. Let a = i - -13. Suppose -75 = -a*k + 3*k. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 2 m, and 1 k when four letters picked without replacement from mqwsswmmmmkwwmssm?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -10*t + 350. Determine y(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 27522 and 957?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 228, 2\/7, -9734 in decreasing order.\nAnswer: 228, 1, 2\/7, -9734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-7 - -3) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 98804 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61948 - -93936. List the prime factors of o.\nAnswer: 2, 11, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 - 16 - (-3 - 2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -22219\/16 or -1388?\nAnswer: -22219\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = i + 5. Let f = i - -6. Solve 0*z - 10 = f*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 320?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 3*f + 24 = 0, -f + 6 - 1 = 0. Let s(j) = j**2 - j + 8. Let t be s(0). Let d be (234\/t)\/(4\/16). What is the highest common factor of d and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1.02 + -137.98. Let i = p + 142. Which is smaller: i or -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-106)\/(-10) + 2 + (-16)\/(-40). Is c less than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**3 - 6*v + 20 + 10*v**2 - 3*v**2 - 18. Let s(z) be the first derivative of z**2\/2 + 3*z + 4. Let b be s(3). Give x(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 30 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a - 19. Let j be g(21). Suppose -3 = 2*c + c + l, -j*c + 5*l + 15 = 0. Solve -3*n - 3*w + 2 = 8, c = 3*n - 5*w + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 102606.\nAnswer: 2, 3, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/110 and 29\/67981680?\nAnswer: 747798480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 - 21*b**2 - 4*b - 4. Let h(g) = -2*g**3 - 42*g**2 - 7*g - 7. Suppose t + 378 = 2*l + 373, 4*l + t - 19 = 0. Give l*h(d) - 7*k(d).\nAnswer: -d**3 - 21*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 47 + -1 - ((-10 - (19 + -16)) + (-21 - -23)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:51 AM and 9:00 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1823 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (-11)\/(11\/(-7)) + 11542 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2010121 (base 4) in base 8?\nAnswer: 20431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1045?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = 2*a**2 - 52*a - 69. Determine y(26).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -63, -111, -159, -207, -255, -303?\n\"Answer: -48*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j + 4*j + j**4)*(-j + 0*j + 0*j) + 235*j**5 - 31*j**5 - 114*j**5.\nAnswer: 89*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 41, 0, 1\/11, 0.2 in descending order.\nAnswer: 41, 4, 0.2, 1\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 812729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 s and 1 g when four letters picked without replacement from {g: 2, s: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 185 and 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7\/10 in -3, 0, -2\/11, -2, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 82940663521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-21)\/(-9))\/7 - (-609)\/9. Let f = 973 - 429. What is the highest common factor of f and d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 55337 is divided by 9097.\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 3)*(-4 + 4 - 17*d) + (14 - 10 + 12)*(d - 2 - 3*d + 1).\nAnswer: -49*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = d - 7. Suppose -5*p + 3 = -v, -d*v - 23 + 8 = -p. Suppose -t + p*t = 380000. Round t to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41 = -4*n + 57. Determine s so that -10\/9*s**2 + 0 + 14\/9*s**3 + 2\/9*s - 2\/3*s**n = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -19 <= -56\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = 933 + 1474. Is j a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12105629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 8*p**3 + 40*p**2 - 6*p - 54. Give n(-5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/2 in -0.52, -0.21, -5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 30\/(-12)*(-4)\/(-65). Let d = -1533\/4 - -383. Which is the nearest to w? (a) -0.01 (b) -3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3908 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: What is the nearest to -2\/31 in -21, -4, -7.9, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.5 in 0.5, -0.05, -5\/4, 3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 575.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 648503619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 169 divide 14348094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-6039792)\/990)\/248)\/(3\/(-10)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 149.497 * -6\nAnswer: -896.982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -222 - -223201323200?\nAnswer: 223201322312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -61*y + 126*y - 35*y**2 - 1 - 65*y to the form i*y + v*y**2 + u and give v.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 37.89524 nanometers in kilometers?\nAnswer: 0.00000000003789524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 19 = -i, -3*s - 4*i + 22 = -s. Let l(v) = v**2 - v + 2. Let o be l(s). What is the greatest common factor of 64 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = 3*p + 5. Let g be c(-4). Let k = -8 - g. Let z = 5 + k. Solve 2*r = z*t + 6, 0*r + 3*t = -2*r - 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h - 427 = -2*k, -4*k + 610 = h - 259. Suppose 5*x - 1164 = 4*z - 142, x + 5*z = k. What is the remainder when x is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9 and -1850645?\nAnswer: -16655805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 36 = -0*l. Suppose -b + l = 1. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2 - -6. Let c(l) = 1995*l + 33908. Let r be c(-17). Put r, -3, t, -5 in descending order.\nAnswer: t, -3, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -110, -366, -682, -968, -1134, -1090, -746, -12?\nAnswer: 1202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 7*z**2 - 5*z - 1. Let k(o) = -23*o**2 - 352*o - 5. Let g(b) = -12*b**2 - 202*b - 3. Let r(t) = -7*g(t) + 4*k(t). What is 5*p(y) + 4*r(y)?\nAnswer: 3*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -48 + 23 + 4 + -5 + 6.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 35591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 60*1 - (2 - -4). What is the highest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 30 = -4*u, 5*q + 10 = -0*u + 4*u. Let y = u - -40. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-5 + 13 - 4) + 136 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 3. Let i be 0 - s\/((-3)\/2124). Let q be 4\/(-10) + i\/(-20). What is the greatest common divisor of q and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -447682383 divided by -20001?\nAnswer: 22383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(405) - (-4 + (sqrt(405) - (sqrt(405) + 3*sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405) + sqrt(405)))) - (sqrt(405) + 2 + sqrt(405) + 0))**2.\nAnswer: 216*sqrt(5) + 14584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(315)*-2)\/(sqrt(225) + (sqrt(225)*1 - sqrt(225))))\/((sqrt(1500)*-1)\/(sqrt(9)\/sqrt(3)*2)).\nAnswer: -4*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 18314918959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide 14092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 4*n**2 - 12*n - 11. What is v(-13)?\nAnswer: 3018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*n + 3*n - 3*n)*(-n**2 + n**2 + n**3) + (0 + 1 + 0)*(-4*n + n**4 + 4*n) + n**4 + 10*n**3 - 10*n**3 - 2*n - 1173*n**2 - 24*n**4 + 1173*n**2.\nAnswer: -18*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 717*h**4*w**3 + 4*h**2 + h*w**3 - 26*h*w wrt h.\nAnswer: 17208*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from vzzzzzzvzvv?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -3*f**2 - 3*f + 3. Let t(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/6 - v**2\/2 - 6*v. What is -o(g) - 3*t(g)?\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -11.9, 0.41, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the first derivative of 2\/7*u**3 - 2\/7*u**4 + 9\/7*u**2 + 4\/7*u - 299. Solve s(h) = 0 for h.\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -268 + 1073\/4. Sort 1\/2, -2.9, l.\nAnswer: -2.9, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1132 + -5. Let i be (-14)\/r*2\/5. Let j = 23381\/7245 + i. Calculate the common denominator of j and -5\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3320 (base 4) in base 11?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/(-20)*4 + -3. Let d be -611 + 8*h\/8. Round d to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w**2 - 2*w**2 + 0*w**2)*(w - 2*w + 0*w) to q*w**2 + r + l*w**3 + t*w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109*z**3 + 46*z**3 + 417*z**3.\nAnswer: 354*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3702\/5553*-2*-5*1\/(-4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 7:26 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 90 = -5*z. Solve z = 4*p - d, -2*d = 5*p - 33 - 2 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or -1\/107368?\nAnswer: -1\/107368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7065 and 3657.\nAnswer: 8612235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) be the third derivative of -u**8\/20160 - u**7\/630 - 11*u**6\/2160 - u**4\/6 + 2*u**3\/3 - 12*u**2. Let h(i) be the second derivative of w(i). Factor h(z).\nAnswer: -z*(z + 1)*(z + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 4, u: 2, i: 1, g: 5}. Give prob of sequence eeu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Let k = -869\/285 + 63\/19. Let b(f) be the second derivative of k*f**3 + 4\/5*f**2 + 0 + 3*f + 1\/30*f**4. What is v in b(v) = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find a, given that -44\/7*a**2 + 32\/7*a - 1\/7*a**4 + 13\/7*a**3 + 0 = 0.\nAnswer: 0, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 97\/954 and 67\/12.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 22789.71 centuries in decades?\nAnswer: 227897.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 2*f**2 + 5*f - 2. Let h(z) be the first derivative of z**3\/3 - z**2\/2 + z - 1160. Give -2*h(s) - l(s).\nAnswer: -s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**4\/4 - 5*x**3 + 21*x**2\/4.\nAnswer: -x**2*(x - 1)*(x + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 15 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -9, 3 in descending order.\nAnswer: 3, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**2 + 30*x - 2. Let a be c(13). Let t = -217 + a. Solve -k - 6 = -t for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k**2 - k**3 - k**3 - 3*k**2 = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.4 and -547.\nAnswer: -218.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 75.97224ug?\nAnswer: 0.00000007597224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1334 is divided by 158.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + (0 - 4) + (-6 - -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 5 + 13 = 12*u + 4 + 30, 3*u + 2*n = -7 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 54*a**3 - 3*a**2 + 5*a**2 - 61*a**3 in the form v*a + l*a**3 + n*a**2 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 + (-3 - 0))\/((-6)\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*d + 4*j, 4 = -d - 3*d + j. Suppose -9*n + 209 - 83 = d. What is the remainder when 192 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7758351 + 3479649 = -3*c. Round c to the nearest one hundred thousand.\nAnswer: -3700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 + -2300666?\nAnswer: -2300671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (-49200)\/(-164)*(-4)\/(-10) and 8?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -5*a**3 - 9*a**2 + 2*a. Let w(f) = -3*f**3 - 8*f**2 + 3*f. Calculate 2*k(v) - 3*w(v).\nAnswer: -v**3 + 6*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 5, 373, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*n**3*s*u + 87*n**3*u + 6*n**2*s*u + 2*n**2*s + 2*s*u wrt n.\nAnswer: 18*s*u + 522*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jbboojbbfoobbffbojo. What is prob of sequence jbf?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 40 and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2774 and 2044.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4*235\/(-282)*(-3)\/(-20)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1257 (base 15) in base 16?\nAnswer: -f43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -3*y + z, 2*y = -3*y - 3*z + 13. Let d(p) = -5*p + 6. Determine d(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5364699 and 10503.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = h**3 - 7*h**2 + h + 24. Calculate the remainder when z(8) is divided by 43.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/45 or 12679036?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*n**5 + 5*n**5 - 4*n**5 + (12 - 12 - 3*n)*(-57*n**3 + n**4 + 57*n**3).\nAnswer: -4*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3723\/2 + -1825. Let j = z + -143\/4. Let l = -0.2 + 0.7. Which is the third biggest value? (a) l (b) j (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (8*7\/(-42))\/(34\/(-51)). Solve 2*z - 3*s - h = -5*s, 5 = -4*z + 5*s for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 4*t + 179, -3*z - t = -z - 111. What is the remainder when z is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -8*z + 10. Let h(r) = -2*r + 4. What is 8*h(w) - 3*q(w)?\nAnswer: 8*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:43 AM and 9:17 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 1239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k + 9. Let g be l(10). Let a be (5 - 5)\/(g - 1). Which is smaller: a or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 33*f - 113*f = -34*f + 1334 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z**2 + 3 - 3)*(0*z + 0*z + z**2) + z**2 - z**2 + 2*z**4 + (3*z**2 - 5*z**2 - 3*z**2)*(2*z**2 + 5*z**2 - 5*z**2).\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1242 is divided by 91?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 7, w: 7}. What is prob of picking 2 m and 2 w?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2032 + 2031.999653. What is m rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -6.16 * 58.\nAnswer: -357.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22477888*v - 8980594*v + 3043518*v.\nAnswer: -28414964*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45402 and 12.\nAnswer: 90804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1 (b) 0.053 (c) -1\/1859 (d) -8 (e) 9 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 12) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3 - -1. Suppose -2 - 16 = -2*t - 5*l, -5*l + b = t. Calculate the smallest common multiple of t and (-30)\/9*6\/(-5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 66751650?\nAnswer: 2, 3, 5, 7, 21191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -359 - -362. Solve -a*j = -0*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.33750412 and -0.6?\nAnswer: -0.202502472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 290.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 131 + -93. Suppose w = 3*c - 7. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9019298 is divided by 202.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a**3 + a - 1. Let b(m) = m**3 - 12*m**2 - 9*m + 26. Let f(r) = b(r) - 2*t(r). Let j be f(-11). Solve -j = -4*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*b - 8*b = 5*b. Suppose 2*j + j + 3*h - 57 = b, h = j - 15. Calculate the highest common factor of j and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 23 + -8. Let a = v - 15. Suppose -4*d + 3*d = a. Solve b + b + 10 = d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 126104777.\nAnswer: 79, 127, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 5140125 + -1?\nAnswer: 5140124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is m in -6*m**4\/5 + 4*m**3\/5 + 6*m**2\/5 - 4*m\/5 = 0?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3\/7, 0.3, -0.2, -1\/7, 3404?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 7*l - 4. Let d(w) = -w**2. Let z(v) = 2*d(v) - o(v). Let b be z(7). Suppose -p - 320 = b*p. What is p rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bfr when three letters picked without replacement from eefbfefrrfffbbrq.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 5171515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the first derivative of h**4\/4 + 5*h**3\/3 + 3*h**2\/2 - 10*h + 117. Let o be i(-4). Let m(p) = -p - 1. Let b be m(3). Which is smaller: o or b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56947153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 95, 91, 85, 77?\n\"Answer: -l**2 - l + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-10))\/(372\/310)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 85791023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2*z = -37 + 5, 101 = 3*p - z. Let r(s) = s**3 - 3*s**2 + 4*s - 3. What is the remainder when p is divided by r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 4*m + 5*g - 29 = 0, 4*g = 3*m + 8. Suppose -28 = -b - 3*b. Differentiate 7 - b*w**3 + 8 + m - 2*w**3 wrt w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 461067*h**3 - h - 461090*h**3 + h.\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2362*q - 2362*q + 8*q**2 + 1179 - 119 - 5*q**2.\nAnswer: 3*q**2 + 1060","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-43)\/(-6) + 0 + 4\/(-24). Suppose -y + u + 4 + l = 0, y = 3*u + 21. Let i(k) = k + 11. Let h be i(-9). What is the greatest common divisor of y and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2117810799 to the nearest integer?\nAnswer: 46020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(152) - (sqrt(152) - sqrt(152)*3) - sqrt(152)) + sqrt(152)))\/(sqrt(24)\/(sqrt(3) - sqrt(75))).\nAnswer: 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 687000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2733, -5458, -8181, -10902, -13621?\n\"Answer: q**2 - 2728*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -14*x + 2. Give n(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 8, c: 3, d: 1, q: 3, x: 3}. Give prob of sequence hx.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) be the second derivative of 2*l**5 - 415*l**4\/12 + 575*l**3\/3 - 375*l**2\/2 + 2*l + 24. Factor y(a).\nAnswer: 5*(a - 5)**2*(8*a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 19027 and 33231?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -42*m**2 + 806*m**3 - m**2 - 944*m**3 wrt m?\nAnswer: -828","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 558*g - 7888. Calculate f(13).\nAnswer: -634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-8)\/(-10)*19*9\/171.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v - 11. Let x be i(-12). Suppose 3*b - 9 = -h, h - 8 = 2*b + x. Let o(z) = z**2 - 10*z + 6. What is o(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k. Let t(j) = 2*j + 2. Let b be t(3). Suppose 2*f - 4*p - b = 0, -2*p - p - 3 = 0. Let v(a) = 2*a**f + 5 - 5. What is y(v(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/((-7 + (-78)\/(-12))\/(-4)) + 196. Solve -145*y = -r*y + 344 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 4*p**3 + 2*p**2 - 390*p + 389. What is d(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the third derivative of 5*k**8\/168 + 13*k**4\/24 - 3*k**2. Find the second derivative of a(w) wrt w.\nAnswer: 200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -311 - -291. Is -13 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 0 + 0 - 3*d. Let v(m) = -3*m + 0*m - 3*m + 4*m. Give v(o(t)).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 19.24 - 19. Let g = h + -0.04. Let m = 0.2145 - g. What is m rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 56410 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -4*y + 13. Let k(b) = -b + 1. Calculate a(q) - 6*k(q).\nAnswer: 2*q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 a when three letters picked without replacement from xbpxbbkxbbpaba.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 5*y - 33 = 0, 0*z + 2*z + 12 = 4*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -c881 - 2?\nAnswer: -c883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*f + 186*f = -293*f - 9450 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1001000010 (base 2) to base 5.\nAnswer: 4303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 104346 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-68)\/(-1360)*4\/(-2)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2512979395 to the power of 1\/3, to the nearest integer?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47358856.\nAnswer: 2, 29, 204133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 11848 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 156 and 240?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 - 3. Suppose 5*s - 3*g - 24 = 0, q*g - 1 - 3 = 0. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3459000 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -5*z + z - z + 2*z + z - z + (-3 - 2 + 3)*(-2*z + 0 + 0) + z - 2 + 2 + (17 - 27 + 13)*(0 + 2*z + 0) as l + k*z and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 2*s = 7*s + 196, -3*s - 276 = -3*j. Calculate the greatest common factor of j and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 2 - 3)*(-3*u + 2*u + 2*u) + (3 - 4 - 1)*(4*u - 4*u + 2*u) + 3 - u - 3)*(2 - u**3 - 2)*(-4*u + 2*u + 16*u).\nAnswer: 98*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14994.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = -32125 - -96379\/3. Let -4\/3 - 4\/3*l + 4\/3*l**2 + x*l**3 = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -4\/9, -0.2, 67, -7, 4\/93?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4114304699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 6 - 1 = 0, 2*p - 5*x = 2279. Does 29 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 3\/10, 3\/8 in descending order.\nAnswer: 3\/8, 3\/10, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2.8 or -0.688257?\nAnswer: -0.688257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (156\/6552)\/(3\/(-12)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -64 + 194\/3. What is the smallest value in w, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9592 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 36000, 72130, 108260, 144390, 180520?\n\"Answer: 36130*n - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 2*h - 6, 0 = 2*h - 3*h + 3. Suppose t + 28 = 4*m. Let a(l) = l**2 + 18. Calculate the remainder when a(0) is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 119606 and 15484.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/3, 0.5, 9, -0.1, 4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.02 and 55.2896384017.\nAnswer: 55.2696384017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**3 + 5*v**3 + 2*v**3)*(5*v**2 - 4*v**2 + v**2).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 937.5022 millennia in months?\nAnswer: 11250026.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 0, -2\/13, -3, -221\/3, 6.\nAnswer: -221\/3, -3, -2\/13, 0, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1600303177 to the nearest integer?\nAnswer: 40004","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54776121 to the nearest integer?\nAnswer: 7401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 2*i. Let x(l) = -112*l + 2. What is x(a(d))?\nAnswer: -224*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 31323775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 + 6*a**2 - 5*a + 3. Let f be t(5). Suppose -4*q + 2*q - 5*b - 1 = 0, -2*b + 4 = f*q. Solve 1 = q*k + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56.53 plus 0.1?\nAnswer: 56.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(1\/16)\/j*(j*j**(-6))\/j*j assuming j is positive.\nAnswer: j**(-95\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6\/25837 - -48651101\/129185. Let k be (-3862)\/(-10) - 1\/2. Let y = j - k. Find the common denominator of y and -125\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9616448 and 16373952?\nAnswer: 605836224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2328 - -2329. Let w(g) = g**2 - 4*g - 6. Let p be w(5). Sort b, 3, p.\nAnswer: p, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -4*g - 28, -3*t + 15 = -8*t + 5*g. Let n(x) = x**3 + 6*x**2 + 6*x - 2. Let b be n(t). Let q(l) = -l**2 - 7*l + 10. What is the tens digit of q(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4\/93187 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3011\/20 + 599\/4. Let p = -3 - -2. Let o = 39 - 587\/15. What is the nearest to 2 in o, p, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -3*n**2 + 20*n + 9. Let d be v(7). Let t(l) = -3*l + 3 + d*l + 5 - 1. What is t(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 132562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3 + 8c81c7?\nAnswer: 8c81ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 46855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/15, -4, 0.19 in ascending order.\nAnswer: -4, -2\/15, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) be the first derivative of -o**6\/7 - 8*o**5\/35 + 25*o**4\/14 + 92*o**3\/21 - 4*o**2\/7 - 48*o\/7 - 2. What is s in b(s) = 0?\nAnswer: -2, -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6 - (-104)\/20)*5. Sort y, -3, 0, -2 in descending order.\nAnswer: 0, -2, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1 (b) 2\/15 (c) 6 (d) -4\/5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 2\/(-40)*3*2146\/(-407) and 97\/286?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010000010110111111 - 100000?\nAnswer: 1010000010110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = a + 4*z + 8, 4*a - 3*z = -8*z - 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 3730674, 3730704, 3730756, 3730830, 3730926, 3731044, 3731184?\n\"Answer: 11*r**2 - 3*r + 3730666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from njjjnnjjnjnnjnjj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -395, 2074, 4555, 7048, 9553, 12070?\n\"Answer: 6*h**2 + 2451*h - 2852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g = 4 - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 2*k**2 - 3*k + 1. Let y be 48\/15 - 1\/5. List the prime factors of u(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 15 - 10 = 0. Suppose 7 = 2*u + q*k, -3*u - 3 = 5*k - 26. Solve -u - 13*z + 0*z**2 - z**2 + 5*z = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(sqrt(117) + sqrt(117) + (sqrt(117) + -1 - sqrt(117))**2 + -3 + -5) + -4*(2 + -1 + sqrt(117) + 2)**2.\nAnswer: -483 - 90*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 972.787 millimeters to meters.\nAnswer: 0.972787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u + 31 = 2*t, 5*u + 5515*t + 16 = 5512*t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10281 is divided by 2569.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 151, 305, 459, 613?\nAnswer: 767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 34? (a) -1043 (b) -4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1348303 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(1377) + sqrt(1377)*-1 + -1)**2 + -2 - ((-3 + sqrt(1377))**2 + sqrt(1377) + -5 + (sqrt(1377) + 4 - sqrt(1377))*3).\nAnswer: -1391 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -24557, -24618, -24679?\n\"Answer: -61*w - 24496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1026 + -866. Let u(k) = -2*k**3 - k**2 + 2*k. Let i be u(-2). What is the greatest common divisor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 56*c**2 + 4*c**2 + 12*c**2 + 37*c**2 + 13*c**2 - 14*c**2.\nAnswer: -4*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -140359*i + 1122819. Calculate z(8).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0232? (a) -42 (b) -1\/4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 3*z**3 - 4*z**2 + 4*z + 4. Suppose 0 = -14*t + 6*t - 88. Let p(m) = 8*m**3 - 11*m**2 + 11*m + 11. What is t*s(n) + 4*p(n)?\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -2386?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13 - 17. Let m(v) = 2*v**3 - 4*v**2 - v + 2. Let u(h) = h**3 - 3*h**2 - h + 1. Determine w*u(g) + 3*m(g).\nAnswer: 2*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a millennium?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -103 + 951?\nAnswer: 84b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 1193*z + 5883 - 5883 + (0 + 3 - 5)*(-z - 2*z + z).\nAnswer: 1197*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b**3\/7 - 32*b**2\/7 + 82*b\/7 - 52\/7 = 0. Calculate b.\nAnswer: 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**2 - 4*w + 6. Does 21 divide z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -7 - -5375?\nAnswer: 5368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 13766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*g + 7*g = -819. Calculate the greatest common factor of g and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 76, 123, 142, 127, 72, -29, -182?\nAnswer: -393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -68*a**2 - 37*a**2 + 26*a**2.\nAnswer: -79*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 166 is divided by 64.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 547*n = 544*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.5 in 0, -3, 0.11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = u**2 - 7*u - 3. Let o be l(6). Let j(h) = -5*h**2 + 12*h - 1. Let d(f) = -2*f**2 + 6*f. Let x(s) = o*d(s) + 4*j(s). What is y in x(y) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 552 - 3?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -80.2 to the nearest integer.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 622895 divided by 3367?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1)\/c**(2\/15))\/(c**(1\/2))**(-11))**(-21) assuming c is positive.\nAnswer: c**(-917\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -4465 by -47.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve p - f = -167 + 157, -3*p - 5*f + 10 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*u - 2 + u + 5*u)*(-2*u**3 + 0*u**3 + 0*u**3 - u**3 + 0*u**3 + 3*u**3 + (-2*u + 4*u - 4*u)*(2*u**2 - 2*u**2 + 2*u**2)).\nAnswer: -12*u**4 + 8*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.067 and 3?\nAnswer: 0.201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 70023919 and 50017085.\nAnswer: 350119595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -v**3 - 30*v**2 + 41*v**2 - 9*v - 2*v**3 + 58*v**2 + 7*v**3 in the form a*v**3 + h*v + q + c*v**2 and give c.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = d**2 + 12*d - 8. Let p be r(-13). Suppose -2*u + 2135 = y, p*y + 0*y = -15. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19975180, -39950360, -59925540, -79900720?\nAnswer: -99875900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4 + b?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*s - 2*s**2 + 4*s + (s + 3 - 3)*(s + 0*s + 0*s) + s**2 + 0*s**2 - 2*s**2 + (-4*s**2 + s**2 + 2*s**2)*(-3 + 5 + 0) - s**2 + 3*s - 3*s.\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -56 + -53. Let s = -100 - a. What is the least common multiple of 15 and s?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 4*t + 4 = 21, 5*t - 40 = -6*o. Solve -3\/2*r**o - 21\/2*r**2 + 0 - 27\/2*r**3 - 3*r - 15\/2*r**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 5400 and 60792?\nAnswer: 13678200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -0.7422, -3, 0.32, -0.2, 0.2?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + 10\/6 + (-3583620)\/(-2160). Let h = -1661 + t. Calculate the common denominator of ((-62)\/80)\/(4\/10) and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 322001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 248965 to the power of 1\/2, to the nearest integer?\nAnswer: 499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 6*q - 2. Let o be (-19)\/2 + (-1)\/2. Let n = o - -6. Let s(z) = -z**2 + 5*z - 2. Give n*p(y) + 5*s(y).\nAnswer: -y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -159 + 159.6. Let i = -0.97 - -0.37. Let d = i - -0.8. Which is the smallest value? (a) w (b) d (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (2 + -3*(sqrt(80) + 2) + (sqrt(80) - (sqrt(80) - 1*(1 + sqrt(80)))) + -5)**2*-5 + -1.\nAnswer: -1918 - 640*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.555883 - -0.055883. Let o = -0.06 + 1.06. Let m = 0 - -0.5. What is the nearest to -2\/17 in o, n, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**(-19))\/f*f**6*(f**24)**(2\/33) assuming f is positive.\nAnswer: f**(-127\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24696*h - 4 + 24683*h + 3 + 1.\nAnswer: -13*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 5 + 2*h**3)*((-1 + 2 - 2)*(4 + 0 - 2) + 59 + 3 + 73) + 2*h**3 + 3*h**3 - 4*h**3.\nAnswer: 267*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3182*j + 3280*j - 694 = 580 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -513 != -515?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 1:29 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 118 - 76. Suppose n - 32 = -h, -4*h - g + 174 = 2*n. Does 12 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12973 + 12979. Solve -8*k = j - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:39 PM and 6:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1 + (-581)\/4 + 84\/(-112). Let h = 156 + w. What is the greatest common factor of h and 539?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1467582 a multiple of 711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:57 AM and 3:17 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*o - 3. Suppose 1 = n - o. Let w(s) = s**3 + 2*s**2 - 2*s - 2. Let a be w(n). Solve -5*p - a + 0 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4050 and 250.\nAnswer: 20250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1589979*v**4 + 4*v**3 - 2*v**2 - 58614685*v?\nAnswer: -19079748*v**2 + 24*v - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*h = -c + 9, -3*c = -c - h - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -19, 34, -2, -1, 2 in descending order.\nAnswer: 34, 2, -1, -2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**3 + 90152*l**2 - 180304*l**2 + 90152*l**2 - 18.\nAnswer: -4*l**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(7\/4))**(7\/2) assuming u is positive.\nAnswer: u**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2607\/474)\/((-2485)\/(-1242) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -77, 38, 5, 6.\nAnswer: -77, -4, 5, 6, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {u: 5, o: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum -2.34769 and -0.04.\nAnswer: -2.38769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -428*d + 438*d = 200. Solve s + d = 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.5 (b) 8774 (c) 2\/97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -400227402 + 0?\nAnswer: -400227402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -77*n - 66*n + 137*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*((-1)\/(-4) - (-5)\/20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h + 45*h**2 + 0*h.\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(190)\/(2*sqrt(80)\/sqrt(8)))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/5 (b) -1\/3 (c) 2.011 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -140 - -96. Let h = -43 - t. What is the third smallest value in h, 3, -0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 288383204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3415)\/(-21) + 46\/(-161). Suppose -2*l - 644 = -6*l. Let n = c - l. What is the nearest to -2\/3 in n, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**4 + 18 - 18)*(4 + 0 - 3) + 2*r**4 + 2*r**2 + 1 - 1.\nAnswer: 3*r**4 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = 9016 + -5414. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1481474, 1481471, 1481466, 1481459, 1481450, 1481439?\n\"Answer: -t**2 + 1481475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 275*u**3 - 2810*u**2 - 520*u.\nAnswer: 5*u*(5*u - 52)*(11*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2080 and 5616?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 35, 21, -3, -43, -105, -195, -319, -483?\n\"Answer: -g**3 + g**2 - 10*g + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -6\/13*t**3 - 2\/13*t**2 + 6\/13*t + 2\/13*t**4 + 0.\nAnswer: 2*t*(t - 3)*(t - 1)*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12809062421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 - 2*v**3 + 8 - 10 to j*v**2 + b*v**3 + f*v + x and give x.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 24965\/11 - 2269. Which is the nearest to v? (a) -4 (b) -408 (c) 0.3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence shh when three letters picked without replacement from {h: 2, s: 2, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 85.2 + -15. Let k = n - 70. What is the closest to -8 in 4, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*l**2*r**3 + 5*l**2 - 7*l*r - 2*l + 9*r**4 - 21*r**3 - 22*r wrt r.\nAnswer: 36*l**2*r + 108*r**2 - 126*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-8))\/(237\/(-632))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-10))\/(((-18)\/20)\/9)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the second derivative of 7*k**5\/16 - 95*k**4\/48 + 5*k**3\/3 + 5*k**2\/2 - 5*k. Let j(g) = 0. What is g?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -12, -30, -66, -126, -216?\n\"Answer: -t**3 - 3*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-b + 2*b + 0*b + (-4*b - 5*b + 0*b)*(2 + 0 + 0))*(b - 4*b + 2*b).\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -11*l**2 + 19*l - 1160. Let y(f) = -2*f**2 + 4*f + 3. What is -b(g) + 5*y(g)?\nAnswer: g**2 + g + 1175","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4, -9\/7, 2\/17, 2\/11?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2156056 to the nearest integer?\nAnswer: 1468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: ((-37)\/((-5291)\/(-234)))\/(-3)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiajqaaaiaiyayaaaa. What is prob of picking 1 a, 1 j, and 1 y?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be -334 - (0 - 12\/(-4)). Let j = h + 341. Solve 2*k = -j*l - 6, 2*k + 2*l + 6 = 5*l for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1295, -2156, -3017?\nAnswer: -3878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -23 - -26. Let j = -233\/70 + 414\/35. Sort j, -3, -0.2, h.\nAnswer: -3, -0.2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 3 - 5 + 6 + 12*z**2 - 3. Let x be (-5)\/10*(1 - 3). What is the tens digit of j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - -34 - (6 + (8 - (35 - 5))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -842714401*o**3 - 4575*o**2 + 559*o - 55 wrt o.\nAnswer: -5056286406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 459 and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -27959940 rounded to the nearest 100000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 160 divide 916480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-6)*(-6)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pdpd when four letters picked without replacement from {p: 4, d: 10}?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 77889 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -30*m**2*v**3*x - 30*m**2*v**3 - 3*m**2*v*x - 3*m*v**3 - 9*m*v*x - 3*m*x + 2*v**2 wrt m.\nAnswer: -60*v**3*x - 60*v**3 - 6*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -76*b*t**5 + 15*b*t**4 - b*t**2 - 11607*b wrt t.\nAnswer: -4560*b*t**2 + 360*b*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o - 8, -2*m - 5*o = 3 + 1. Let t(u) = -m*u**2 + 7*u**2 - 6*u**2 - u - 34*u**3 - 2 + 33*u**3. Give t(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 127 a factor of 4826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 1\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 - -7. Sort n, 3\/4, -5\/7 in descending order.\nAnswer: 3\/4, -5\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llc when three letters picked without replacement from cmcmlmclcfcmlc.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 1888*x + 3226. What is the thousands digit of o(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 534435.\nAnswer: 3, 5, 11, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30*k**2 + 122060*k - 244119*k + 122059*k.\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 141 divide 1672853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 8:17 PM?\nAnswer: 11:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 4.0068188 to two dps.\nAnswer: 4.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -5.5 + 6.5. What is the fourth biggest value in 1\/2, -6, z, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13129067 and 161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 157939373*k**3 - 1189299412 wrt k.\nAnswer: 473818119*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 968 and 1452?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 20*u - 248. What is a(11)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -4*t - 2*a + 275, 0 = 2*t + 3*a - 145. What is the highest common factor of t and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -67 and 209.\nAnswer: -14003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1324055461 from 0.003.\nAnswer: -1324055460.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2940825.9 - -13944110.1. Let z = t - 16884917.9999908. Let i = z - 18. What is i rounded to 6 dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.5 in -4, 0.2, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0002531 rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -536.5, -0.1 in descending order.\nAnswer: -0.1, -1, -536.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*z + 178 = 426 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 61\/20216 and -89\/4221.\nAnswer: 12190248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 13\/3 and -43\/23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 2) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 2\/56427917?\nAnswer: 2\/56427917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1653\/319 + -1*5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**2*c**2 - 184155*b**2 + 35*b*c**2 + b*c - b + 98*c**2 wrt b?\nAnswer: -4*c**2 - 368310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 524*l + 8366 - 3841 + 9623 = 0 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is a04 (base 11) in base 10?\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2608 and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*o + s + 11, -5*o = -4*o - 3*s + 7. Suppose 2*i + 11 = v, 2*i + 75 = o*v + 12. Solve 0 = -3*w - h + v, h = 4*w - 10 + 2 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 4*w**3 - 2*w**2 - 2*w. Let m(o) = 21*o**3 - 11*o**2 - 11*o. Let j be (((-126)\/35)\/(-9))\/((44\/20)\/(-11)). Calculate j*m(h) + 11*y(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1069142*t - 1069178*t + 2088 for t.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of -6 - 5\/2*g**2 - g. Does 8 divide b(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4614 divided by -6.\nAnswer: 769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -4929*w + 257474 = 2077*w - 2148*w for w.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -716 divided by -56?\nAnswer: 179\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*b + 1 + 0*b + 13*b + b.\nAnswer: 25*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0642375771 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -11*t**2 + 1268589*t + 24*t**3 - 1268589*t in the form s*t**3 + l*t + d*t**2 + m and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -6*i + 47. Suppose -i*a = -14*a - 50. Calculate the remainder when 95 is divided by a.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hyrzry. Give prob of picking 2 y and 2 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14\/(-14))\/((-4)\/(-88))*1\/((-2)\/(-2)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -6*((sqrt(187) - (-3*(sqrt(187)*-2 + sqrt(187)) + sqrt(187)))*4)\/((2*sqrt(88)\/sqrt(4))\/sqrt(2)))**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/(-6) - 3\/(-6)) + 0. Suppose -4*x + x + 40 = 4*c, p = c. Suppose -5*j = -x - 3, -5*j = -5*t + 70. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1421799 - -0.147952\nAnswer: -1421798.852048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(4\/19)*v**(-1\/13)*(v*v\/(v**(11\/5)\/v)*v)**(-13\/4) assuming v is positive.\nAnswer: v**(-28239\/4940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 73.06378ng to milligrams.\nAnswer: 0.00007306378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((u*u\/(u\/(((u**(-2)*u)\/u)\/u)*u))\/u)**(3\/5))**30)**31 assuming u is positive.\nAnswer: u**(-2232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 862242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 47267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13*(-5)\/(-55)*18\/(-30) and 2*516\/2240*-2.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 85 a factor of 953700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**2 - 10*m + 10. Let q be s(10). Let a(b) be the second derivative of 2*b**3\/3 - 19*b**2 - 19*b. List the prime factors of a(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -6 + 9 + ((-32)\/(-12))\/(-1). Let h = -0.3 - -0.33. Which is the nearest to h? (a) 1\/5 (b) f (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 476725 is divided by 247.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**3 + 10*x**2 + 4*x - 9. Suppose j + 6 = -3. Suppose -4*v - 4*l = -84, -v + 4*l - 3 + 14 = 0. What is the remainder when u(j) is divided by v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/24 - (-22)\/4. Suppose 3*y - 6*y + 5*c = -15, -4*y - 2*c = q. Let h(l) = y*l - 5*l - 5*l + 0*l. Let d(k) = -4*k**2. Determine h(d(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 3*u + 8. Let g be a(6). Suppose 0*p + 3*p = 3*b - 18, 4*p + g = 5*b. Let s(n) be the first derivative of -n**2\/2 - 1. What is s(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 2*r + 13 = -0*r, 4 = 2*u - 2*r. Let w(v) = 8*v + 24. Let j be w(-3). Let d(z) = u + j*z + 0*z - z + 0. Determine d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*t + 4*u - 11, -11*u - 21 = -5*t - 15*u for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19181263?\nAnswer: 19181263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -h**3 - 10*h - 4*h - 2 + 13*h to the form t*h**3 + l + m*h**2 + s*h and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1 - ((-2508)\/3)\/(-4). List the prime factors of (i\/64)\/(-1 - (-38)\/40).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18801803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 337 = s, -4*l - 836 = 5*s + 870. Let t = s + 522. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 + 1 - (-2 - 0). Let q be (-2)\/8 + 306\/8. Let v be (0 - h) + q - -2. Calculate the greatest common factor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 1 = 17. Suppose -2*w = 2*w + 20, -j*a + 36 = -4*w. Suppose -a*v + 15 = -81. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -572108 - -35?\nAnswer: -572063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.05, -0.98, 5, 4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -86 - -86. Find the first derivative of 0*k + 53*k**3 + 60 + 52*k**3 + l*k wrt k.\nAnswer: 315*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34.05 + -0.05. Let m = o + -34.023. Let k = -0.023 - m. Which is the closest to 4\/3? (a) k (b) 4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -3*o + 9, -4*o - o - 4*w + 60 = 0. Let j(q) = -3*q**2 + 2*q + 1. Let g(x) = -17*x**2 + 9*x - 28. Let u(y) = g(y) - 6*j(y). Give u(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 250517 = 2*r - 3*v - 40538, -4*r + 5*v + 582107 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20*b**3*u + 2732*b**3 + 183*b**2*u**2 wrt u?\nAnswer: -20*b**3 + 366*b**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -7 (b) -6 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 + 3*l + 3. Let q be d(4). Let f = -94 - -94. Suppose -9*a - 1 + 1 = f. What is the nearest to q in 5, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -1. Let o(v) be the second derivative of -2*v + 11 - 5\/2*v**2 + 1\/2*v**3. Calculate -3*n(c) + o(c).\nAnswer: 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (3*t**3 - 3*t + 3*t)*(-1 - 1 + 1)*(0 + 2 + 2) as s*t**3 + f*t**2 + h*t + g and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2541896*r**4 - 855332 wrt r.\nAnswer: 10167584*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 187726081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 65.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of d**2*s + 210589*d*s + 63*d - 50318*s - 3516 wrt d?\nAnswer: 2*d*s + 210589*s + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3641 - -3641.4. Let g = 4 - 6. Put g, q, -1\/4 in increasing order.\nAnswer: g, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 2*v**2 - 26*v + 37. Let b be m(15). What is the second derivative of 37*h**4 + 23*h**4 + b*h - 11*h**4 wrt h?\nAnswer: 588*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or 10712607?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 2*d**3 + 25*d**2 + 12*d - 9. Let s be -3 - (12 - (2 + -1)*3). Give r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 12a44 - -4?\nAnswer: 12a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-120)\/(-50) + (-1)\/(15\/(-9)). Suppose -a + 26 = -2*l, -8*a = -4*a - y*l - 89. What is the highest common factor of a and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-14))\/(-53*(-108)\/373968)*(-2)\/4.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.3275 - -6.3. Let t = x - -0.0612. Round t to 3 dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 98 = -2*z, -25 = -a - 2*z - 15. Solve a*y = -6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 542 is divided by 94?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.08 + -3.08. Which is the closest to 0.2? (a) -2\/7 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that -9*n**4 - 15*n**3 + 2*n**4 + 20*n + 32*n**4 - 3*n**5 - 2*n**5 - 25*n**2 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2244\/(60\/5) - -14. Which is the biggest value? (a) 1\/4 (b) 0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (s - 2 + 2)*(3 - 4 + 3) + (-1 + 3 - 3)*(2*s + 2 - 2) - 4 - s + 4.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -6*q - 12 + q + 18. Let o(u) = -6*u + 7. Calculate 5*g(m) - 4*o(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-11) + 310\/(-110). Let r(k) = 5 - 3*k + k**3 + k - 5 + 4 + 4*k**2. What is the tens digit of r(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 50 and 3690.\nAnswer: 18450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 36240004 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: How many nanograms are there in 2459.9 micrograms?\nAnswer: 2459900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -37, -12, 27, 86, 171, 288, 443, 642?\n\"Answer: d**3 + d**2 + 15*d - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rffafrrufrrfrwffuar.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 156 - 153 = 0. Which is the closest to 19? (a) g (b) 0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/2369? (a) -0.4 (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 3)*(-5 + (-4 - -10)). Calculate the common denominator of 56\/(-6)*i*2\/12 and 58\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*x = -64*x + 78624. List the prime factors of x.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -c**3 + 4*c**2 + 221*c - 26. Calculate a(-13).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00125885 rounded to five decimal places?\nAnswer: -0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d + 1. Let y(v) = 55*v**3 - 110*v - 110. What is -110*n(p) - y(p)?\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 47 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -9354*p. Let g(j) = -j**2. What is g(c(r))?\nAnswer: -87497316*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-2932430)\/346350 - (-5)\/6*2?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 11*h**2 + 76*h**3 - 26 + 28 - 6*h**2 as l*h**2 + f*h**3 + b + m*h and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 239 a factor of 1787720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 7462\/(-78351)*42\/11\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -747 + -15?\nAnswer: -760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**3 - s**2 + 2*s + 2. Determine m(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -293*z. Let h(w) = -w - 16. Let l be h(-10). Let p be f(l). Let a = 28113\/16 - p. What is the common denominator of -99\/8 and a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 133686 is divided by 407?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27114411.\nAnswer: 3, 2083, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of -3*i**2 + 29*i + 7. Let h be r(5). Let t(n) = 19*n + 1. Give t(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 20 + 5. Let f = 27 - t. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 467168, 460862, 454544, 448208, 441848?\n\"Answer: -p**3 - 6299*p + 473468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/77 in 274, 5, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l - 25 = -55. Let h = 979 - 978.6. What is the closest to -1\/3 in h, l, 1\/2, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + -12202332?\nAnswer: -12203001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1678614?\nAnswer: 2, 3, 7, 17, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*x + 7*x. Suppose 2*b + 0 - 8 = x. Suppose -b*v = -3*u - 57, 4*v + 3*u + 2*u - 33 = 0. What is the highest common factor of 96 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 4*w - 14 = 0, 4*l - 8*w + 6*w + 16 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(52\/5824*56)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5379 and 18.\nAnswer: 32274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 2 t when four letters picked without replacement from {q: 6, u: 2, t: 9}?\nAnswer: 27\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -4, -14, -4\/5, 51, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -317.6 to the nearest ten.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 3*n**2 - n - 1. Let r = -3 + -1. Let o = r - -3. Let i(j) = -j**2 - 1. Let m(y) = o*i(y) + k(y). What is the second derivative of m(x) wrt x?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 19*q**2 - 719*q + 1750. What is t(36)?\nAnswer: 490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.9886 and 3.\nAnswer: 2.9658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**2 + 9*n - 13. Let h(k) = k**2 + 9*k - 13. Let w(i) = -3*h(i) + 4*m(i). What is the units digit of w(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2cc (base 14) to base 5.\nAnswer: 4242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(98)*1)\/sqrt(2)*1)\/((sqrt(896) - sqrt(56))\/sqrt(8) - -2*sqrt(7)*2).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -104 (base 8) in base 2?\nAnswer: -1000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 23426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -1037*b**2 + 5103*b + 70. Calculate t(5).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + 2 + (3 + sqrt(612) - sqrt(17)).\nAnswer: 2 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out 23597 - 97147.324.\nAnswer: -73550.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 1\/5 (b) 0.05 (c) 84 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 178425 by -35685.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 186? (a) 27.6 (b) 2\/143 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286*y + 107532 = -250*y. List the prime factors of y.\nAnswer: 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1353 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 563310704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**3 + 8*z**2 + 41*z + 149. Let n(f) = 4*f**2 + 243*f + 850. Let k be n(-57). Calculate l(k).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**2. Let k(v) = -50486*v. Determine r(k(g)).\nAnswer: 2548836196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -48 + 49. Solve -a - 1 = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1 - -15 - (-28)\/(532\/(-171)). Let g(j) = -j**3 + 8*j**2 - 3*j - 14. Calculate g(x).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39.17012 kilograms in micrograms?\nAnswer: 39170120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 262 divided by -347?\nAnswer: -262\/347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, -0.5, 25\/2, -2\/5, -2\/17, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -25.052 rounded to one decimal place?\nAnswer: -25.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 529 + -208. Let a = 314 - h. What is the second smallest value in a, 2\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, e: 1, g: 4, q: 2}. Give prob of picking 1 q and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is l in -2\/7*l**3 - 4*l**2 - 10*l - 44\/7 = 0?\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:19 AM and 4:35 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3\/5)\/(366\/1525). Are j and -0.46 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -302.2 + 182. Let c = p - -120. Let o = -2.5 + 2. Put c, o, -0.4 in descending order.\nAnswer: c, -0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000696 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence in when two letters picked without replacement from {n: 2, u: 3, i: 5, j: 9}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -72 (base 11) to base 13\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 634842 and 5148?\nAnswer: 13966524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -2*b**2 - 8*b - 22. Let d be a(-14). Let g = d + 306. Put -3, 7, g in increasing order.\nAnswer: -3, g, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 + 2*j**2 - 5*j + 5. Let l(k) = -k**2 + 3*k - 3. Give 3*b(y) + 5*l(y).\nAnswer: -3*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + -21)*(-24)\/(-60). What are the prime factors of (-2036)\/(-16) - (-2)\/f?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - x - 19 = 0, 5*u + 3*x - 16 = 7*x. Let n be (-9)\/u*(-4 - 0). Solve 3*z - n = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -51 + 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u - 1. Let s(n) = 23*n - 13. Let z(i) = -9*m(i) + s(i). What is z(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-3\/11)*u)**(1\/5) assuming u is positive.\nAnswer: u**(8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 6*d**2 + 4*d - 29. Let s(f) = -13*f**2 - 10*f + 59. Determine 7*h(r) + 3*s(r).\nAnswer: 3*r**2 - 2*r - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*c - 696 - 1570 - 611 = 2823 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j. Let k(y) = -6*y. Let f(p) = -5*h(p) + k(p). Let q be f(-2). Suppose 0 = n - 8 + 3. Solve -5*s - z + 3 = -n, 6 = q*s - z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 0) + -7 - ((37 - 50) + 30)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(2*-1*(-4*(sqrt(112) + 2) - 1*(sqrt(112) + -3)) + 4))**2.\nAnswer: 10080*sqrt(7) + 102564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -2*p**3 - 65*p**2 - 33*p + 12. Let z be o(-32). Is 41 a factor of 26\/(-143) + 16244\/z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:38 PM and 5:59 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 90 = -11*y - 4*y. Let m(j) = -5*j. What is m(y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1 - -1. Let i(h) = 3*h + h**3 + 5*h**2 - s*h - h + h - 3. Let v = -3 + -2. Calculate i(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 k when two letters picked without replacement from kot.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 2*k**2 - 1402*k + 1400 = 0.\nAnswer: 1, 700","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*k = -14448 + 3933. Let n = k - -721. Solve 20 = 3*y + 4*a, a = -3*a + n for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 11, c: 5}. Give prob of sequence rrr.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -3, 304, -7\/9, -9, -1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 14, z: 5}?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -30215 - -30215.16769. Round w to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*a - 8 + 8)*(-4*a**2 + 5*a**2 + a**2) + 6*a**3 - 35 + 35 to f*a + q + i*a**2 + s*a**3 and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find m such that -3*m**3 - 45*m**2 + 174*m + 216 = 0.\nAnswer: -18, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 180*g**4 - 513*g**2 - 2*g - 25333 wrt g?\nAnswer: 2160*g**2 - 1026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 1. Let p(d) = -12*d - 4. Let z(t) = 5*k(t) + p(t). Does 25 divide z(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10547243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 350 - 960 = 26*f + 742 for f.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -11111 (base 4) to base 11.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 3 = 0, 2*l - 4*l - 2*r = 210. Let x = l + 166. Let g = x - 58. Solve -g*k - 3 = -k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -516885064 from -0.04.\nAnswer: 516885063.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -176*t**2 + 86*t**2 + 8*t + 94*t**2.\nAnswer: 4*t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (2*s - 2*s + s - 3*s + s + 0*s + (-3 - 2 + 3)*(0*s + 4*s - 6*s) + 2*s - 4*s + 4*s)*(-5*s + 0*s + 3*s) in the form y*s**2 + w*s + r and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 21*w + 10*w - 8*w + 9*w in the form c + a*w and give a.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24 + 24. Suppose 4*r = 6 - 2. Let s be r\/1 + 4\/(-6). Put -5, n, s in increasing order.\nAnswer: -5, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001347 rounded to 5 dps?\nAnswer: 0.00135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Divide -4917380 by 75652.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -112122311 - -10?\nAnswer: -112122301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be 568\/6 - (-2)\/(-3). Suppose -69 = -3*z + 2*r, -3*z + 2*r + q = z. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor o**2 - 311446*o + 24249652729.\nAnswer: (o - 155723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.42, -26, -4 in descending order.\nAnswer: 0.42, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46829 is divided by 22230.\nAnswer: 2369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uauudkdsddauadd. Give prob of sequence sau.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 13900236 a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 13*q**2 - 16*q - 11. Let m be n(15). Suppose b - m = -r - r, -5*b + 5*r = -935. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of 0*g**3 + 2\/5*g**5 - 1\/8*g**6 + 0 + 23*g**2 + 0*g + 0*g**4. Find the third derivative of p(n) wrt n.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (105*u - 174*u - 68*u)*(4 - 4 - 4*u**2) - u**3 + 1 - 1.\nAnswer: 547*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 7, i: 1, w: 12}. What is prob of picking 2 w?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = -4*v + 47 + 9, -4*v = 4*q - 48. Calculate the remainder when 29 is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-39)\/18 + 2 - (-2)\/12. Let n(o) be the first derivative of f*o**4 + 3\/5*o**5 - 2 + 0*o + o**2 + 0*o**3. What is the second derivative of n(z) wrt z?\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 110.192 + -110. What is f rounded to two dps?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 16*u**3 - u**2 + 2*u - 1. Let z be m(1). Suppose 4*k - z = f, f + f = 4*k - 16. What is the smallest value in f, -4, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4664\/7 - -665. What is the smallest value in n, 2, -0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1251?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 - 25 = -4*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/37 in -1, 1\/145, 424, -3?\nAnswer: 1\/145","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2881598*m**4 + 2940849?\nAnswer: 11526392*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (69 - (-895217)\/(-12971))*(1 + -8)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -361 - 365 + 726 - 756*x**4 + 38*x**4 + 3*x**4 - x**4 - 4*x**4 + (-1 + 1 - x**4)*(-3 - 2 + 3) + 3*x**4 - 2*x**4 + x**4.\nAnswer: -716*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3718*w + 3718*w - 584 - 4*w**2.\nAnswer: -4*w**2 - 584","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Let g = -1303.9 + 1304. Let l = 3.83 + 0.17. What is the nearest to g in 0.12, l, -1?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 11 - 9. Let v be ((-3 + 3)\/(-1))\/d. Let z(g) = g**3 + g + 5. Calculate z(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*o - 73*o = 657 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 2448 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.54 - -14.46. Let m = -0.298 - -1.688. Let w = m + -0.89. Put w, u, -5 in descending order.\nAnswer: u, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 378113?\nAnswer: 103, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, -4, -16 in increasing order.\nAnswer: -16, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*r + 3*r - 9*r)*(0*r + r - 3*r)*(24*r**2 + 15 - 15) to the form c + w*r**4 + f*r**3 + j*r**2 + b*r and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2*2 + 2\/1. Let p be (-1 + -1)\/((-22)\/h). Let w = -0.5 + 0.4. Which is the closest to w? (a) 1\/5 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24011662\/5 greater than 4802331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -3, 119857?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -20 + 20.1. Suppose 9*y = 5*y + 8. Suppose y*g = 1 + 1. Put -2, s, 4\/7, g in descending order.\nAnswer: g, 4\/7, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 0, -1, 2\/3, 0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 166578 and 166578?\nAnswer: 166578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.05, -188, -0.4, 2, -4, 5 in descending order.\nAnswer: 5, 2, -0.05, -0.4, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/((v*v*v*v**(-2\/5)*v*v)\/v)))**(-1)\/(v*v**2\/v)**(-49) assuming v is positive.\nAnswer: v**(472\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.879324um in millimeters?\nAnswer: 0.000879324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 15 = -13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(96))\/sqrt(4) + 3*(sqrt(24) + sqrt(1536)))\/((sqrt(192)\/sqrt(200))\/(sqrt(288) - (sqrt(288) + -2*sqrt(288)))).\nAnswer: 3360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z + 8*z - 1 + 8*z)*(3*z**2 - 6*z**2 + 4*z**2).\nAnswer: 12*z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3045 (base 8) to base 4\nAnswer: -120211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 427638 and 3421104?\nAnswer: 3421104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yebuu. What is prob of picking 1 b, 1 e, and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes before 8:18 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.6 + -4.6. Let i = -2.9 + v. Let f = i - 1.1. Which is smaller: -3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7079 + -7079.00000044224. Round u to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 37, 219, 699, 1621, 3129, 5367, 8479?\n\"Answer: 24*o**3 + 5*o**2 - o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is c0d5 - 3?\nAnswer: c0d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**5\/60 - 29*u**4\/24 + u**2. Let g(y) = -3*y - 65. Let i(x) = -2*x - 52. Let b(z) = -4*g(z) + 5*i(z). Give h(b(c)).\nAnswer: 4*c**2 - 58*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**3 - 10*q**2 - 9*q + 10. Let h be o(-9). Let j = 39 + -25. Suppose -15*n = -j*n - 4. Solve p - h = -n*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 + 1. Let c(t) = -1. Let m(s) = s + 11. Let p(z) = -22*c(z) - 2*m(z). What is p(i(n))?\nAnswer: 2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -71*k**2 - 2*k + 3. Let q(y) = 72*y**2 + y - 1. Suppose -27*x = -24*x - 9. Let t(w) = x*q(w) + 2*r(w). What are the prime factors of t(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o + 3. Let y(m) = -m. Let b(q) = -a(q) - 2*y(q). Let l be b(2). Let k(s) = -s**2 + 10*s + 6. Does 17 divide k(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - r = z - 9, -3 = 4*z - r. Suppose 3*t - 9 = -z*t. Suppose -3*i - 5 = t*b - i, 0 = b + 3*i + 11. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (18 + 492\/(-30))*((-662)\/(-8) - 9)\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q**(-17))\/(q*q**(-10)\/q) assuming q is positive.\nAnswer: q**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 3, 0.1, -1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-6)*j*j**5)\/(j**(-2))**44*(j\/((j*j*j\/(j\/(j*j**0)))\/j))**34\/(j**(-5\/3)*(j\/j**(1\/3))\/j) assuming j is positive.\nAnswer: j**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 2*q - 6. Suppose -q*j = -3*j - 12. Let k(h) = -h**2 + 6*h - 3. Let c be k(j). Solve 4*i + 11 = -5*y + 2*y, 0 = 5*y - c*i + 30 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xax. Give prob of picking 2 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 150*y**2 + 40*y + 8\/3.\nAnswer: 2*(15*y + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000598051 to five decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -115\/1174224 and 59\/306?\nAnswer: 3522672","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Solve -279*d + 266 + 292 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1945 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 7980 and 50.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 26 = y, 2*j = -2*y + 9 + 7. Let w be 1*(-2 + j\/2). Let q(s) = 3*s**3 + s - 1. Let d be q(1). Solve -w = z + d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-30))\/(-9 + 300\/32).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 2*l**2 - 9*l + 3. Let c be y(4). Let r be 7 + -1 - (2 - c). Suppose -116 = -2*i - 2*q, 0*i - 91 = -2*i + r*q. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w - 4*q + 13 = 0, -4*w - 2*q + 36 = 12. Solve -3*n + 4*b = 7, w*n - 6*b + 35 = -11*b for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -63, -119, -197, -297, -419, -563?\nAnswer: -729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2028, -3920, -5796, -7650, -9476?\nAnswer: -11268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -35*k**3 + 10*k + 36*k**3 + 2 - 16*k - 5*k**2. Let f be a(6). Let j(i) = 8*i - 11*i + f*i**2 - 2 + 2*i**2 + 2*i. Give j(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 76 - 74. Suppose z*w + 4 = 0, -w - 248 = -u + 4*w. What are the prime factors of u?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3256 and 1184?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/226210498 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 134 is divided by 58.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 301092811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**2 - p - 2. Let l be b(-2). Solve -l*t = -2*y - 8, 3*t - 2*y = 7*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 7*b**2 - 100*b - 59. What is j(15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1098 = -3*k - 6*k. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -5*t + 35, 0*b - 3*b + 18 = 2*t. Let w be -1 + -3*b\/(-6). Let s = -184\/35 + 27\/5. Which is smaller: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -260 - 0?\nAnswer: -260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -26 + 25. Sort s, -0.1, 5 in increasing order.\nAnswer: s, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-700)\/(-588))\/(-5)*(-180)\/25\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 63*c - 4*c - 15*c + 51*c. Let q be s(1). What is the highest common divisor of q and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13733.81 rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 30644638721 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-14))\/(5097\/35679)*2\/(-30).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 52, 89, 150, 235, 344, 477, 634?\n\"Answer: 12*m**2 + m + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = -43564 + 82451. Suppose 4*g + 14726 = 4*z + 53618, r = 4*g - 5*z. Suppose -g = -x - 2119. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 1. Let i be (-3)\/(-12)*f*0. Solve -5*n = 5*z + 15, -8 = z - i*n - 4*n for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9030308, -36121223, -81272748, -144484883, -225757628, -325090983, -442484948?\nAnswer: -577939523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 - -10. Let d = 7 - t. What is the smallest value in d, -3, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*k = 231 - 1680. What is the remainder when k is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -145, -353, -645, -1021, -1481?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12371 is divided by 520?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4104884000?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 + 7. Let g(x) = -131*x**3 - 10*x**2 - x - 10. Let c be g(o). What is c rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 1 = -n, v + 8 = -3*n - 2. Let z = 761 + -758. Let r = 42.7 + -37.7. Which is the nearest to z? (a) 0.1 (b) v (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**3 + 7*g**2 - g - 6. What is p(7)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m be (1\/(-2)*(-1 + 3))\/((-644)\/(-490)). Is -2 not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-148)\/(-4) + 21\/(-6 - -13). Suppose 812*o = 820*o - y. Solve 0 = o*u - 2*r + 8, 4 = -r + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-14)\/3)\/(4\/(-6)). Suppose -c*m + 70 = -2*m. What is the greatest common divisor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*u + 3*p - 23, 0 = 5*p - 15 - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(432) + 1 - sqrt(12)\/(sqrt(16)\/sqrt(4)))**2.\nAnswer: 88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -4*y - 33. Let n be q(-9). Let k(a) = -4 - 4*a**3 + 5*a**n + 17*a - a**2 - 15*a. What is the lowest common multiple of k(2) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1978 - 789 + 2057)*(3*y - y - 4*y) + 0*y + 0*y - 2*y in the form k*y + u and give k.\nAnswer: -6494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + 2*z + 9 = 0. Suppose 5*i + z*h - 2*h = 96, 5*i - 88 = -3*h. Suppose -p - 4*p = -i. What is the smallest value in -1\/2, 8, p?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 147 + -145. Let p(n) be the second derivative of v*n**2 + 0 + 7\/6*n**3 - 4*n. Let c(b) = -6*b - 3. Give 5*c(u) + 4*p(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 65 (base 13) to base 11.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -5216, -20470, -45896, -81494, -127264, -183206, -249320?\n\"Answer: -5086*q**2 + 4*q - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 719 + 184 = -4*d, 5*u - 394 = -3*d. Let t(y) = -62*y**2 + d*y**2 - 2 - 3*y - 70*y**2. Let r(i) = 2*i + 2. Give -3*r(j) - 2*t(j).\nAnswer: -2*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -79*z**3 + 1237463*z + 425571211 wrt z.\nAnswer: -237*z**2 + 1237463","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.484112l to millilitres.\nAnswer: 2484.112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 5*q**3 - 12310*q**2 + 3493975*q - 6938750 = 0. Calculate q.\nAnswer: 2, 325, 2135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -2*n**3 + 36*n**2 + 6*n - 39. What are the prime factors of d(18)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6217*v**3 + 3*v - 6222*v**3 - 3*v.\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*w - 4*w + 30 = -5*p, 5*p = 2*w - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -208 - -212. Solve -7 + 19 = -w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64*h - 66*h - 2 = 3*g, 0 = -3*h - 19*g - 61 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 2*w**3 + 6*w**2 + 6*w + 4. Suppose 0 = -3*b, -15*b + 20*b = -3*q - 12. Calculate s(q).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 6*u + 4*u + 50 = 0, 0 = -3*r + 5*u + 115. Solve 0 = 31*l - r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (22\/88)\/((-1)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-10))\/((-116)\/2552).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 165\/176*-2 - 5795\/152\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -3, -63842, 11.\nAnswer: -63842, -3, 0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5\/(-16))\/(28455\/(-11382)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 467113652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) be the first derivative of -a**4\/4 - 8*a**3\/3 - 23*a**2\/2 - 6*a - 52. Is k(-7) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f + 47. What is the smallest common multiple of c(-13) and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = y**3 + 4*y**2 - 10*y - 9. List the prime factors of v(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxym when four letters picked without replacement from xyymyyyywxyymw?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 6 = -4*z, -5 = -4*z - p + 5. Let w = -5 - -8. Let g(n) = -w*n**2 - 5*n**2 - z*n**2. Let c(d) = 2*d. Give c(g(y)).\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bdb when three letters picked without replacement from ddddbbbd.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v + 12. Give l(-13).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) be the second derivative of n**4\/12 + 2*n**3\/3 + 3*n**2\/2 + 2*n. Let s be z(-3). List the prime factors of 8 + s + 3 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -480066 (b) -2.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000246229335 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -465b - -4?\nAnswer: -4657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 412330 is divided by 137441.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 976*-0.494\nAnswer: -482.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 55\/3 of a century in months?\nAnswer: 22000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3\/((-468)\/(-16))*(-6)\/4.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59 is divided by 1*-5*(-323)\/95?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(800)*-5)\/sqrt(10) - sqrt(20)\/(sqrt(100)*1).\nAnswer: -101*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10404 or 187598?\nAnswer: -10404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 2761 = -91*a + 1487 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.361 - -0.261. Which is the closest to v? (a) -3 (b) -8 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + -2 + -2 - -28 - 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 + 6 + 3270*x**3 - 3186*x**3 - 15.\nAnswer: 84*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 421360480.\nAnswer: 2, 5, 887, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 - 5)*(3 - 2 - 3)*(-467*a + 4*a - 282*a).\nAnswer: -1490*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 700\/(-280)*8\/(-45).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-30))\/(2\/20). Suppose -4 + 24 = u*v. Solve -3*x - v = -8*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 905265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/264*-311 + (-1810)\/1086 - (-4)\/66?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**12)**(-21) assuming a is positive.\nAnswer: a**(-252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2440?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1012 (base 4) in base 8?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -62*a**3 - 3*a**2 - 3. Let q(t) be the third derivative of -21*t**6\/40 - t**5\/15 - 2*t**3\/3 - 1408*t**2 + t - 2. What is -4*p(m) + 3*q(m)?\nAnswer: 59*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.195581 centimeters to millimeters.\nAnswer: 41.95581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 156217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 3*s + 7. Let y be a(-5). Let m(x) = -3*x**3 - 123*x**2 - 2*x - 80. Let j be m(-41). Is j\/(-8) + (-2554)\/y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a. Suppose -5*i + 3*i - 534 = -2*n, -4*n = 3*i - 1096. Let w(m) = 9*m + n - 271. What is l(w(j))?\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**3 - 5*j**2 + 11*j + 26. Let w be a(-8). Let g = w + 293. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1124, -1109, -1084, -1043, -980?\nAnswer: -889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 r when two letters picked without replacement from oouyoyypooroo?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k**2 + k + 1. Let s(u) = -6*u**2 - 76*u - 4. Give 4*r(j) + s(j).\nAnswer: -2*j**2 - 72*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 742*s - 2*s**2 - 43*s**3 + 2*s**2 - 44*s**3 - 740*s as n*s**3 + d + h*s**2 + p*s and give n.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eb when two letters picked without replacement from bebebbbbb?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 72.2639l in millilitres?\nAnswer: 72263.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -141, -277, -413, -549?\nAnswer: -685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -17*g**3 - 12*g**2 + 2*g - 1. Let m(a) = 50*a**3 + 36*a**2 - 5*a + 4. Give 8*i(b) + 3*m(b).\nAnswer: 14*b**3 + 12*b**2 + b + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*h - 17*h + 50 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 42448 take away 0.198?\nAnswer: 42447.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 9577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -121018 or -121040?\nAnswer: -121018","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 35598479 = -8293745. Suppose -5*f - 9861952 - 9990410 = z, 0 = z + f + 19852366. Let a = v + z. Round a to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/17752 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 12) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1747847513 to the nearest integer?\nAnswer: 41807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -2*k + 2. Let a be y(3). Let p be (-1 + -1)\/a*-2. Sort 5, -2, p.\nAnswer: -2, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:25 AM and 10:28 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*n + 3*n + 0*n)*(0 + 2 - 1) - 3*n - n + 3*n - 5 + 311995*n - 311588*n + 4 to b + q*n and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 30*s**4 + 68*s**2 + 112*s - 68*s**2 - 115*s**4 wrt s?\nAnswer: -1020*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -q - 3*f - 13, 5*q = 6*f - f + 35. Find the third derivative of -q*h**2 + 28*h**2 + 52*h**4 + 5*h**2 + 38*h**2 wrt h.\nAnswer: 1248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4765 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 21*d**2 - 17*d + 6. Let v(w) = -20*w**2 + 16*w - 5. Let p(k) = 5*b(k) + 6*v(k). What is the second derivative of p(o) wrt o?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*x - 375 + 405 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r**2 - 10*r + 22. Let n be w(5). What is the closest to 2\/3 in 0.5, -1\/3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5709587053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -154797, -619172, -1393129, -2476668, -3869789, -5572492?\n\"Answer: -154791*i**2 - 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.115 - 0.385. Let o = -1.1 - -0.1. What is the biggest value in o, 5, d?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -17 + 9 + -6 + 15\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4170 and 177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -413 (base 14) to base 10\nAnswer: -801","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 25355741 + 0?\nAnswer: 25355741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32116973 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence llv when three letters picked without replacement from llvlvlvlvwvlwvw?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -8*t - 1. Let m = 3 - 9. Let k(n) be the first derivative of n**4\/24 + n**2 - 2. Let c(o) be the second derivative of k(o). Give m*c(x) - b(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -48 - -69. Suppose 3*t + 0*t - 17 = -c, 4*t + 3*c = j. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*u**2 + 5*u**2 - u**2)*(-2*u**2 - 2*u + 2*u) + (0*u**3 + 5*u**3 - 4*u**3)*(-3 + u + 3) as p + f*u + m*u**3 + c*u**4 + j*u**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 - 4 + 1)*(-m - 12*m - 9*m)*(-2 + 2 + 2) in the form o + n*m and give n.\nAnswer: 308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = v + 8, 301*r = 5*v + 296*r - 10 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 29635520?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/26 - (-7498)\/(-6357))\/(-4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 57262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 134*b**3*h**4*r - 133*b**3*r - 4*b**3 + b*h**3*r with respect to h.\nAnswer: 536*b**3*h**3*r + 3*b*h**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 286, -4, -21617 in decreasing order.\nAnswer: 286, -4, -21617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 25 (base 8) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - 3*o + 17, -s - s + 7 = o. Let u(r) = -4*r - 20*r**2 - s*r**2 + 15*r**2 + 8*r**2 + 1. Let l(z) = 5*z - 2. Determine 3*l(i) + 4*u(i).\nAnswer: -4*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(30) + (-1*sqrt(90))\/sqrt(3) + sqrt(30))\/(sqrt(10) + sqrt(10) + -2*sqrt(640)).\nAnswer: -sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 6*c. Let m(s) = 37*s - 15602. What is m(t(i))?\nAnswer: 222*i - 15602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 424719?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -145*o = 160*o - 77*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2546*c - 203939 = 3761*c + 35727 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7541 + 8456. Calculate the remainder when w is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 13290 - -31957. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -518682, -1037353, -1556024, -2074695?\nAnswer: -2593366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = c**3 + 20*c**2 - 3*c - 45. Suppose -12*o + 2*s - 104 = -7*o, -4*s + 28 = -o. Determine g(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 6, 2, 4\/9, -117\/85, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -108488 by -1.\nAnswer: 108488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7 and 21567871.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/5 in 0.2, 1, -17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 165176743.\nAnswer: 17, 71, 136849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dmm when three letters picked without replacement from dmmd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 2838069677 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i = 271 - 267. Let t be (-6)\/33 + 1\/((-22)\/(-4)). Let v be (t - -5)*((-48)\/15)\/4. Which is the smallest value? (a) v (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 676 and 6272513?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1817 + 2859 - 1645)*(3*z + z - 2*z)*(-1 + 2 + 2).\nAnswer: -3618*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4958633163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 163 from 737532998264.\nAnswer: 737532998101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -2*d - 350. Let i = -45 - d. What is the remainder when i is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -512, -509, -506?\nAnswer: -503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -45 + 0 + 8 + (-35 - -39) - 19?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/(-2))\/((-22)\/((-440)\/(-10))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/21)\/((-24)\/(-28)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4280185?\nAnswer: 5, 7, 13, 23, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 PM and 6:58 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -210812*t + 210781*t = 806 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 21999 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Product of -745 and 16.\nAnswer: -11920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d = 12*d + 70. Let l = 57\/4 + d. Let z = -4 + 4.1. Which is the third biggest value? (a) -1 (b) l (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5784*k = -680*k + 296902 + 131834 for k.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -217513 by 31.\nAnswer: -217513\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 62953.66 centimeters to kilometers.\nAnswer: 0.6295366","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -5. Suppose j*l + 3*l - 21 = 0. Is 4 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 305*0.3.\nAnswer: 91.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 38 + -35. Which is bigger: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2342891034.\nAnswer: 2, 3, 11, 29, 43, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/1*(-1)\/(-3). Suppose -3*p + 7 = -4*p + 3*h, 2*p - h = 1. Calculate the remainder when 37 is divided by (w - p)*(-13)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 2388186411 - -0.5\nAnswer: 2388186411.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -2*q**5\/7 - 40*q**4\/7 + 4*q**3\/7 + 80*q**2\/7 - 2*q\/7 - 40\/7 = 0. What is q?\nAnswer: -20, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:53 PM and 2:30 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -v**3 - 5*v**2 - 5*v - 7. Let s be b(-4). Let t be (4 - 8) + (s - -10). Suppose t*q = 4*q - 11. Calculate the greatest common factor of 88 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 2015?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = -22*z**3 + 5*z**2 + 44*z + 289. What is the ten thousands digit of y(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -89, -138, -185, -230, -273?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - a96?\nAnswer: -a98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -24.439 + 24.839. Which is the third smallest value? (a) 6 (b) -18 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -61 + 61.5. Let j = 1.2 + -1. Which is the nearest to j? (a) 1 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 76\/12*(1 + 5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/(83\/((-2324)\/10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1147706 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: Let y = 5 - 2. Suppose 2*i - 2*c = -2*i + 84, -3*i + 72 = y*c. Calculate the remainder when 65 is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -103 - -103.00001. Round v to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*c**2 - 13*c**2 + 111092 + 111095 - 222187 - 24*c**3.\nAnswer: -24*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 139444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = -38.1 + 38. Let o be (-2)\/6 - 22\/6. Which is the closest to v? (a) o (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2*2\/(-48))\/((-20 + 14)\/(-54)). Suppose -5*o - 20 = 3*n, n + o + 4 = -n. Find r such that -p + 3\/2*r**2 - 3\/4*r**4 + 0*r + n*r**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8 in -5, 149, -184?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8 - -13. Suppose -2*k + u = -o, -17 = o + 3*o - 5*k. Which is the closest to -2\/7? (a) 2 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -42466 (base 8) in base 10?\nAnswer: -17718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 49012.96 days to microseconds.\nAnswer: 4234719744000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-123 - (-68 - -34)) + 38.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence plp when three letters picked without replacement from {l: 7, p: 2, r: 1}.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*l**2\/2 - 2298*l + 880134.\nAnswer: 3*(l - 766)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/(-10))\/((-66)\/165).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes before 10:07 PM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 1612 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1213bc - 4?\nAnswer: -1213c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2903, 3541, 4173, 4799, 5419, 6033, 6641?\n\"Answer: -3*c**2 + 647*c + 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82295238?\nAnswer: 2, 3, 127, 107999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -184*q + 1251 = -293*q - 6488 for q.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -82.609069 + -78?\nAnswer: -160.609069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 5 - 3)*(28 + 51 - 13)*(-2*m + 2*m - 7*m) in the form t*m + q and give t.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*l + 60 - 5. Let w(z) = -5*z + 1 + 1 - 3 + 2. Let s be w(-2). Solve -3*t = b - 2*b - s, -t + 25 = l*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, b: 2, t: 7}. Give prob of sequence tmt.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5590 = d - 27097. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8 - 5. Suppose 0*f = b*f - n - 6, -2*f + 4 = 5*n. Let m be (-93)\/(-9) - f\/6. Solve -k = -3*k + m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2904)\/(-3) - -3)\/((-15)\/(-165)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75484656 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -5*b**4\/6 - 158*b**2. Let r(k) be the third derivative of k**5\/15 + 30*k**2. Calculate m(r(t)).\nAnswer: -80*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = 194 + -100. What are the prime factors of h?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 570 = -190*f + 3610 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 301*h - 208*h - 930 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-15))\/((-271)\/33875)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85555105 is divided by 363?\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + (6 - (6 + 0 - 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20021 is divided by 2859?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3135 = 4*z - v, 755 = 2*z - 2*v - 811. What is the least common multiple of z and 2352?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 929302.\nAnswer: 2, 11, 53, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3870 + 3873 - 111*m**3 + 61*m**3 - 7745.\nAnswer: -50*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 332*g + 368*g + 365*g - 414*g + 187*g.\nAnswer: 838*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-148)\/(-74)*(-2)\/14. Is u smaller than -33.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g + 7217 = 7199 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 96\/5, -42, 1\/2, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8704855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 51, 101, 127, 117, 59, -59, -249, -523?\n\"Answer: -2*w**3 + 64*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -a594556 + -10?\nAnswer: -a594566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u - 43 = -2*t + 83, -3*t - 3 = 0. Is -32 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*r + 209 = 70*r + 163*r - 241. Factor -d**4 - 2\/3*d**3 - 8\/3*d + 1\/3*d**5 + 4*d**r + 0.\nAnswer: d*(d - 2)**2*(d - 1)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c - c - c + (272 - 169 - 145)*(-c + 0*c - c).\nAnswer: 82*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -78, -152, -226, -300, -374, -448?\nAnswer: -522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -3*d. Let y(n) = 4*n**2. Let h(k) = -2*k**2 + 3. Let b(z) = -z**2 + 1. Let f(c) = -3*b(c) + h(c). Let x(q) = -21*f(q) + 3*y(q). Determine t(x(v)).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 4*x**2 - x + 13. Let u be p(4). Let t(m) = 31*m - 71. Calculate the remainder when t(u) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 4f0c1 (base 16) in base 4?\nAnswer: 1033003001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x + 15. Let z(p) = -6*p**2 + 3*p - 3. Let y be z(2). Let n = -29 - y. What are the prime factors of r(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eighty-seven fifths of a century in months?\nAnswer: 20880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xiwxqllj. Give prob of picking 1 w, 2 l, and 1 i.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6558626470 - 6558761831.800059. Let n = b - -135362. Let r = 0.2 - n. What is r rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b\/(((b**(-1\/12)*b)\/b)\/b*b)))**(-13) assuming b is positive.\nAnswer: b**(13\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 p when three letters picked without replacement from yplpajjxjalj?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 10 = 7*y. Let v(g) be the first derivative of -6*g**2 + 2*g**y + 3*g**2 + 3. Let o(n) = -n. Calculate v(o(i)).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 2)*(-4*i**2 - i**2 + 3*i**2)*(-45*i - 73*i - 5*i**2 + 100*i).\nAnswer: -20*i**4 - 72*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -4 (b) -43 (c) -0.031 (d) 37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l + 3. Let d be i(0). Let t be (-4)\/(-1 + d) + 2. Suppose -2*w = 3*n - 17, -w - 5 = -t*w. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2)\/(-36))\/(4\/16). Let v = -45 - -84. Let r = v - 31. Is r bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 121*g - 68. Let t(u) = -326*u + 204. Let f(k) = -8*i(k) - 3*t(k). Give f(9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-596)\/(-12) - (-4)\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d*d**(2\/9)*d*d**13*d assuming d is positive.\nAnswer: d**(155\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9 - 4. Suppose 4*c + 4 = -4*b, 4*c = 1 - 17. Let m be b*2\/(-6)*-3. Put -2, y, m in descending order.\nAnswer: y, m, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 8, -4, 2, 5.\nAnswer: -4, -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = -7*w + 60. Let o be a(10). Let g be ((-14)\/o - 2)\/(2\/(-10)). Solve -u = u + 3*z - 5, g = 5*u - 2*z for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 228944, 228927, 228910, 228899, 228900, 228919, 228962?\nAnswer: 229035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.07527 from 1952.\nAnswer: 1951.92473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - 0. Find the third derivative of 2*c**2 + 2*c**3 - 7*c**2 + 6*c**o - c**3 wrt c.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 16, 25, 44, 73, 112, 161?\n\"Answer: 5*t**2 - 6*t + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 217 and 1097061?\nAnswer: 34008891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29 + -25. Suppose 4*f - 244 = 3*h, s*f = 4*h - 0*h + 240. Is 16 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85 = 5*v - 5*x, -57 = -v - x - 78. Which is smaller: v or -2.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 41 = l. Suppose 4*z + 3*j + l = -74, -2*z - 5*j = 75. Let m = z - -42. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1892*p**3 - 2837*p**3 - 658*p**3.\nAnswer: -1603*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be -4 + (-3 - 166\/(-22)). Let g = 0.1 - 0.1. Let w = -0.1 - g. Which is the nearest to w? (a) m (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*l + 2*j + 50, 8 = l + 4*j + 18. Let r(z) = -3*z - 18. Calculate the lowest common multiple of r(-12) and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -1\/41 (b) -6 (c) 261.4 (d) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 8 - (1 + 5 + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 163, 165, 179, 211, 267, 353?\n\"Answer: v**3 - 5*v + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -7779 and -1159349370?\nAnswer: 1159341591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -1\/8, -60, 2\/29905, -5\/4?\nAnswer: 2\/29905","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 30959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be -3*((-9506)\/2205)\/(-97). Let l = -2.1 + 2. Which is the nearest to 0.3? (a) 1\/4 (b) q (c) 2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 111\/(-2109)*-285 - 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7128 divided by 81.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -3635*p - 3257. Is i(-72) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -5*y**5 - 3913835*y**4 - 15655285*y**3 - 19569085*y**2 - 7827630*y = 0.\nAnswer: -782763, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 5213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3109498?\nAnswer: 2, 7, 222107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.6277304 and 25.\nAnswer: 15.69326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 152 divide 8512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 21*d**2 - 13*d**2 - 9*d**2 - 31 + 2*d + (-d + 2*d - 2*d)*(4 - 4 - 3*d).\nAnswer: 2*d**2 + 2*d - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -33323 (base 4) to base 12.\nAnswer: -70b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-5)\/(-10))\/((-10)\/62) and 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 3\/50 of a microgram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h. Let k = 7 - 4. Let a(f) be the second derivative of 0 - 2*f - 1\/2*f**k + 0*f**2. Calculate a(m(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g - 2. Let i be p(-7). Suppose 2*q - 35 = j, 4*j + 29 = -i*q + 123. Let s = -8 + q. Solve 2*n + s = -0*n + 2*o, -2*o = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 84 - 1 - (85 - 51)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12342.5 - -12342. Which is the second biggest value? (a) 1272 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 2*a + 2)*(-21*a**2 + 11*a**2 + 82*a**2).\nAnswer: -144*a**3 + 144*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -21 (base 8) to base 16.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -2, -12, -30, -56, -90, -132, -182?\n\"Answer: -4*l**2 + 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 34254*g**5 - 2*g**2 + 2862*g wrt g.\nAnswer: 2055240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3822 - -3838. Suppose 5*o + 1385 = 5*h, 2*h - 444 - 95 = -o. What is the highest common factor of h and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vivvvivvvvivvvvt.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.8 * 1001026\nAnswer: 800820.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be (60\/80)\/(-2 - (-3782)\/112). Which is smaller: q or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - 1110010?\nAnswer: -1101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 123 + 157 = -35*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/4*34\/3. Let r = -19.76 + 16.76. Put 4, r, t in descending order.\nAnswer: t, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9935019811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = h**2 + 41*h + 367. Give w(-27).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4011, -8113, -12215, -16317, -20419?\nAnswer: -24521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 154916 is divided by 151808.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*k**3 - 305*k + 4*k**3 - 306*k + 611*k.\nAnswer: 26*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -13*v**4 + 3*v**3 + v - 93?\nAnswer: -156*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-7)\/(((-3)\/(-1))\/(-3)). Suppose -a*w + 30 = -2*w. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 4*x + 17 = 0, -y = 2*y - 3*x - 24. Let w(b) = 4 + 0 - 4*b - 2 - 3*b**2 + 4*b**2. Determine w(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*i*j**3*k - 2*i*j**2 + 7*i*k + j**6 - 43*j**4*k - 4*j*k - 3*k wrt j.\nAnswer: -12*i*k + 120*j**3 - 1032*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -53*r**4 - 17397*r**3*t**2 - 2*r*t**2 + 6*r*t - r + 90*t**2 + t - 550 wrt r?\nAnswer: -636*r**2 - 104382*r*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -112 + 749?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 2*o + 5. Let y be q(4). List the prime factors of 10*1\/(-2 - y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -11112010120111 (base 3) to base 8.\nAnswer: -11127133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**3 + 7*u**2 + 2*u - 9. Let v be f(7). Let y = 16\/3 - v. Which is the closest to -1? (a) -1 (b) -1\/4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of -l**3\/3 - 5*l**2\/2 + l - 1. Let y be q(-6). Let z be (-2 + -1)*y\/3. Solve 0 = -c + z*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**3 + 2*x**4 + 0*x**3 + 3*x**4 + x**4 + 2*x**4 + (-2*x**3 + 3*x**3 + x**3)*(-2*x - 3 + 3) - 4*x**4 + x**4 + x**4 + 20*x**3 - 20*x**3 + x**4.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a = 2*a + 4. Suppose 2*f - 4*f = 0. Let c = a - f. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1815 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210607.\nAnswer: 47, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 15 = 7*y. Suppose -s + 9 = 5. Let -10*a**2 - 11*a**2 + 21*a**s - 9*a**y + 15*a**5 - 6*a + 0*a**3 = 0. What is a?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26, -48, -98, -188, -330, -536, -818?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 + 1)*(-330*c - 2*c**2 + 0*c**2 + 354*c).\nAnswer: -6*c**2 + 72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -539.2 - -545.314. Let o = k + 0.976. Let d = o - 15.51. What is d rounded to 0 dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (5\/(-10))\/((-2)\/4). Suppose w + 5*u = -o + 34, 3*w + 5*u = 99. Suppose 3 = 2*h - w. What is the least common multiple of h and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -c**2 + 67609460*c = 0. What is c?\nAnswer: 0, 67609460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 81960 and 85681 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 54 - 94. Let m = i + 33. Put 2, 0, m in decreasing order.\nAnswer: 2, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255699914 to the power of 1\/2, to the nearest integer?\nAnswer: 15991","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (570 - 2*u**2 + u**2 - 579 + 2*u)*(1 - 1 + 2 - 2 + 2 - 2 + (0 - 3 + 1)*(-3 + 1 + 3) + 1 - 4 + 1 + 1 - 2 + 0).\nAnswer: 5*u**2 - 10*u + 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -1. Let s = -5 - -4.9. Let b be 1\/((-69)\/63) - -1. What is the second smallest value in b, d, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 7*q + 23. Let u(x) = 1. Let k(n) = p(n) - 6*u(n). Let r be k(6). Suppose 4 = -5*g + r. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 27 = -0*g. What is the units digit of g*(-7)\/((-42)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-20)\/25 + 279\/5. Calculate the greatest common factor of 22 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14768 = -42*u - 57*u + 214912. What is the lowest common multiple of 203 and u?\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3185208067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 25092441?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-18))**(-2) assuming p is positive.\nAnswer: p**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -495036 + 3153*q + 10387*q + 495036 to m*q + p and give m.\nAnswer: 13540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(396) + -1 + 4 - (sqrt(396) - -2*(sqrt(396) + 1 - sqrt(396))))*-6*-1*2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Sort 18\/2249, -1, -4 in ascending order.\nAnswer: -4, -1, 18\/2249","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 296 divided by 5?\nAnswer: 296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, -1\/3, 23, 0.5, -2\/5 in ascending order.\nAnswer: -2\/5, -1\/3, -0.2, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 2:33 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((l**2\/l)\/l*l**1)\/(l\/(l*l**(2\/9)*l)*l\/((l\/(l\/l**(-2\/7)))\/l)))**37)**14 assuming l is positive.\nAnswer: l**(-296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Factor 3*q**2\/8 + 3*q\/8 - 27.\nAnswer: 3*(q - 8)*(q + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 0 + -2 + 0 + 58 + -33?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -4*a**2 + 73*a - 51. Let q be w(17). Solve -22 + q = -3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes after 11:37 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 122073353 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d**3\/2 - 1712906*d**2 - 34258270*d - 171291600 = 0. Calculate d.\nAnswer: -10, 3425832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 4:53 AM?\nAnswer: 5:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1783c - 1e60?\nAnswer: -1979c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 237981.\nAnswer: 3, 23, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 0.8106296 days?\nAnswer: 70038397440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -2*j**3\/3 - 3298*j**2 - 4080450*j - 12231458\/3 = 0.\nAnswer: -2473, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 132 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*c**4 + 6691337*c**3 + 282818671*c**2?\nAnswer: -216*c + 40148022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33897604*k + 8474400*k + 8474394*k + 8474404*k + 8474401*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9187338?\nAnswer: 2, 3, 53, 167, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60 and 4565620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 422098?\nAnswer: 2, 211049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 AM and 2:08 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 424405592 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: What is -56908649.5 rounded to the nearest 1000000?\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t be (18\/(-42))\/(1\/(-7)). Let n be 16\/(-10)*((-30)\/(-12) - 10). Solve r + t*r = n for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 15, 19, 180.7?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a + 0*a + 3*a)*(-4 + 4 + 3*a) + 436*a**2 + 487*a**2 - 1375*a**2 + 2*a**2 + 1 - 1 + (a + 0 + 0)*(-1 + 1 - 2*a) + a**2 - 4*a**2 + a**2.\nAnswer: -457*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -70, -78, -82, -76, -54?\n\"Answer: o**3 - 4*o**2 - 3*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9516 and 449631?\nAnswer: 1798524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 + 4 = -5*l. Let d = 2 + 1. Suppose -d*q + 0 = -6. Solve 2*z + l*g = -0*z + q, 3 = 3*z - 3*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -31312 (base 4) to base 12.\nAnswer: -61a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 5\/3 (b) 26 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 6187622 at least as big as 6187630?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 494637223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**4*l)\/l**(-2\/7))\/(l**(-1))**(-10) assuming l is positive.\nAnswer: l**(-33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 433 - 220. What is the remainder when (4\/6)\/(2\/z) is divided by (-54)\/(-2)*(-23)\/((-690)\/20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(-2 + -1)*(-29 - 1). What is the highest common factor of a and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1193223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 141*c - 22147. Give x(157).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, v: 2, g: 1, s: 1, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 84074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/1410 and 49\/25.\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of ((-160)\/170)\/8 - (-70078)\/34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes before 3:13 AM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 21, 35, 43, 39, 17, -29, -105?\nAnswer: -217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from ppgz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15473 - 15418. Solve -c*q - 6 = -57*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(18) + sqrt(2) + sqrt(14)\/sqrt(7)*-2)**2.\nAnswer: -4*sqrt(2) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -3*o - 4. Let h be l(-6). Let f be h\/(-28) - (1 + -2). Let x(m) = m**3 - 5*m**2 - 6*m. Let d be x(6). Do f and d have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 7070415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 51016500?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1195 is divided by 159?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 7 (b) -8 (c) 52143\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*v - 34 - 2 = 0. Solve 0 = -0*o - v*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -9*g**2. Let x = -19 + 19. Suppose x = -17*l + 15*l - 14. Let n(f) = -3*f - 7. Let p(q) = q + 2. Let w(r) = l*p(r) - 2*n(r). Give w(m(i)).\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:44 PM and 11:36 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**2 - 1. Let b be s(-7). Calculate the highest common factor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 54 - 13. Suppose 3*h - 43 = g. Let c = h - 6. Calculate the remainder when 63 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -14396.4 times 46\nAnswer: -662234.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20249262 is divided by 1012463?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 15356152 (base 7) to base 16.\nAnswer: 168706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -5, -0.4, 4, 0.17?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 31971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 2*p**2. Let c(y) = -3869 - 301*y + 3869. Calculate c(r(h)).\nAnswer: -602*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -3*o + 2*j, o + 55 = 5*o - 3*j. Let u(w) be the first derivative of -w + o - 6*w + 3*w + 0*w - w**4. Find the first derivative of u(s) wrt s.\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 855302 and 63?\nAnswer: 7697718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (3*v + v - 3*v)*(-2*v + 3 - 3) - 6*v + 8*v**2 + 6*v + (-51*v + 51*v + 15*v**2)*(1 + 2 - 4) - 3*v**2 + 4*v**2 + 0*v**2 as o*v**2 + w*v + x and give o.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Solve 40*g = 2*c + 42*g + 2, -3*g + 13 = -c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (0 - -3) + 15 + -19 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -544 + 614. Calculate the remainder when 174 is divided by f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 342907913?\nAnswer: 12007, 28559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1250 + 147*c - 1250 + (3*c - 2*c + 0*c)*(0 + 3 - 4) to the form o + i*c and give i.\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4524*a**3*g**2*r - 16*a**3*g + 2*a**2 + 1509*a*g*r**2 + 38*g**2*r**2 - 2*g*r**2 wrt g.\nAnswer: 9048*a**3*r + 76*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.1 or -37497?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 22 - 19. Solve h*v + 5*d = -17, 5*v - 5*d + 0 = -15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 211? (a) 8 (b) 1\/9 (c) -3\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - 1 - 2)*(3*j - j + 0*j) - 2*j - 3*j + 0*j + (3 + 1 - 2)*(-5*j - 3*j + 2*j).\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 27593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -65.5617 + 1.5377. Let u = 16.166 - x. Let l = 81 - u. Round l to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 149731 is divided by 10691?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 4*w - 2, 5*d - 10 = -0*w + 5*w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 4:56 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -14228 (base 10) to base 14\nAnswer: -5284","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1 - -369 - 45\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8, -33, -74, -115, -156?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**4 + q**4 - 2*q**4)*(q - 3 + 3) - 303*q**4 + 303*q**4 - 76*q**5 - q**5 + q**3 - q**3.\nAnswer: -80*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -678.3525 + 0.7525. Let g = q - -678. What is the smallest value in -1\/7, 0.22, g, 0.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 PM and 7:35 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -4*a + 42. What is k(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -65\/23250447 and -1\/1347852.\nAnswer: 93001788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b - 31 = 13*b - 4*s, b = 2*s + 7. Sort -1, 3\/4, 1, b in ascending order.\nAnswer: -1, 3\/4, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -14288, -14299, -14310, -14321, -14332?\n\"Answer: -11*q - 14277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 PM and 10:26 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in fourty-five halves of a meter?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50 + 40 + 35 + 1525*f - 125 - 524*f.\nAnswer: 1001*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 144b9 (base 14) to base 12.\nAnswer: 2516b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o + 75 = 91 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2.6 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -4*k**3 - 3*k. Let r(o) = 5*o**3 + 3*o. Let g = 183 + -180. Determine g*r(u) + 4*j(u).\nAnswer: -u**3 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1757 + 2a?\nAnswer: -1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 90\/12*((-44)\/20 - -1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 261565?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3565 and 1395?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 357466.16 to the nearest 100.\nAnswer: 357500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2757299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and -16004\/9207 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/550*-5)\/(6\/(-8)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 124371 and 5265?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) be the third derivative of -23\/60*m**5 - 1\/105*m**7 - 3*m**2 + 14 + 0*m**4 + 0*m**6 + 0*m + 11\/6*m**3. What is the first derivative of l(z) wrt z?\nAnswer: -8*z**3 - 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 18 - (10 - (9 - (13 + -7)))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 127805437.\nAnswer: 37, 3454201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -52 (base 9) in base 8?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 29 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1201550 divided by 35.\nAnswer: -34330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m**3 + 2*m**3 + 9*m**3 + 276851*m**2 + 2*m.\nAnswer: 9*m**3 + 276851*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2 + (4 - 75\/12))\/(893\/(-3572)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 7*d**3 - 2*d**2 - 2*d. Let r(w) = -14*w**3 + 5*w**2 + 5*w. What is -5*f(l) - 2*r(l)?\nAnswer: -7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -336 = -8*z - 6*z. Suppose c = 4*p - 5*p + 6, 2*c + 5*p = z. Solve -1 = -c*q + 3, 5*q = 3*h + 19 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 75 and 2523.\nAnswer: 63075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 84\/216*6*-3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be -8 + -2 + 4*1. Let n(y) = -17*y - 6. What is the tens digit of n(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -2*u - 88. Give r(15).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2*t + 8 = -0*f, -2*t - 8 = -4*f. Which is the second smallest value? (a) 8 (b) -4 (c) f (d) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (14*v + 116*v + 3 + 323*v + 19*v)*(0 + 0 + 1)*(-4*v + 2*v + 0*v).\nAnswer: -944*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 546, -24, -35?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/(-54))\/((-3)\/(-2))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 79 = 365. Suppose 20823 = -140*o + k*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -440*v - 30*v**3 + 26 + 440*v - 26.\nAnswer: -30*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.079? (a) -3 (b) -3\/85 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2843457*i**2 - 2484000 wrt i.\nAnswer: 5686914*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 5353 + 783 = 2*p, -2*p = -2*z + 4564. Which is smaller: p or -2282?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25*n**5 + 68100*n**4 + 5*n**2 + 288213*n.\nAnswer: 1500*n**2 + 1634400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 11*2*4\/8. Suppose -c = -h + 5. Let b be ((-4)\/12)\/((-2)\/24). What is the greatest common divisor of b and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -32, -56, -7085 in descending order.\nAnswer: -32, -56, -7085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t**2 + 2*t**2 + t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, -5, 47, 3478.\nAnswer: -5, 15, 47, 3478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20432, 41200, 61968, 82736, 103504?\nAnswer: 124272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 + 1 + (-2 - (2 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*o**2 - 8 + 8 + (-o + 5*o - 5*o)*(0*o + 3*o - o) + 2*o**2 - 2*o**2 + 3*o**2 to l + g*o**2 + i*o and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -0.072388 rounded to 3 dps?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 98537.81t in grams?\nAnswer: 98537810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 131 - 127. Let f(k) = 0 + 2 - 3*k**3 + 5*k**2 + 2*k**3 - 2*k. What is the lowest common multiple of f(r) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2870 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (5 - (8 - -3) - -5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*a**3 + 1 + 3 + 0*a**3)*(a**2 + a**2 - 4*a**2).\nAnswer: -4*a**5 - 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 65\/172 and -49\/844.\nAnswer: 36292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2475958057 + 2475958057 + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 200133 (base 4) to base 14\nAnswer: a87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -75947*l + 3637. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8076 + 8112. Are p and -183 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 3:46 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -13838364 divided by 6\nAnswer: -2306394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + sqrt(343))**2 + 3 - sqrt(343).\nAnswer: -21*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 + 14*u - 113. What is b(12)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 76, 70, 60, 46?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + 0.3. Let k = 192 - 197. Which is the second smallest value? (a) p (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (3000\/(-330))\/(3*(-12)\/198)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0*(9\/3)\/3. Suppose -4*y + 5*t = 12, o = -t - 3 + 7. Find the third derivative of -s**3 + s**6 + 0*s**6 + s**y + s**3 wrt s.\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46\/5 of a meter in millimeters?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 10*p. Let w(n) = 4680*n + 2269. Determine w(i(a)).\nAnswer: 46800*a + 2269","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3075?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1100110001 (base 2) to base 3.\nAnswer: -1010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16731 + -14717. Calculate the remainder when u is divided by 253.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 148 and 147 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -2*q**2 + q - 10. Give k(4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 5*n + 5 = -5*d, 5*n = 5*d - 45. Suppose -4*q + 6 = h - 0*h, d*h = -3*q + 30. Solve w = -w + h for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + -9 + (161 - 174)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 10, u: 10}. Give prob of sequence uu.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 61441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = 23*a - 27*a + 58, -4*b - 140 = -10*a. Solve x - 3*h = -a, 0*h - 2*h + 8 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -198*j**4\/7 + 808*j**3 + 8446*j**2\/7 + 2232*j\/7 - 360\/7 = 0. What is j?\nAnswer: -1, -6\/11, 1\/9, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 15 in -2\/9, 15.8, 3\/8, -5, -0.087?\nAnswer: 15.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((m**(-2)*m*m*m)\/m)\/(m\/((m*m**1\/m)\/m)))\/(m*(m**5*m)\/m*m**(-2\/3)))**(8\/7) assuming m is positive.\nAnswer: m**(-152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = 155 + -81. Let s = -58 - -85. Calculate the remainder when d is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 158, 2009, 3852, 5681, 7490, 9273, 11024?\nAnswer: 12737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = 4*l - 3*l - 31, -j - 15 = 3*l. Let b be ((-2)\/(-6))\/(9\/j). Calculate the remainder when (3 + 3)*(b + 2) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 1) + (10 - 18) - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23 - 21. Suppose -g = -43 - j. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-2\/3)*(a*a*a\/(a\/(a*a**(-7\/5))))\/a*a*a**(-2\/5)*a**(4\/11))**(1\/10) assuming a is positive.\nAnswer: a**(74\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = -47 - -46.37. Round j to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = -8*u - 4*d + 13, 0 = 3*u + 2*d - 7 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*a**2 + 10*a - 10 - 11 + 23 + (-3*a**2 + a**2 + a**2)*(-3 - 2 + 2) + 6*a**2 - 2*a**2 - 3*a**2.\nAnswer: a**2 + 10*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out -869.3 + -1549264.\nAnswer: -1550133.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 + 1)\/(5\/25). Suppose -n + m*a + 23 = 0, 5*n - a - 5 = 2*a. Let b be (-14985)\/(-10) + (-3)\/n. What is b rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -115, 0.5, -1 in descending order.\nAnswer: 0.5, -1, -115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 778072 + -8543147\/11. Let u(w) = 65*w + 9. Let d be u(-22). Let z = d + a. Calculate the common denominator of 38\/7 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 2*l + 6. Let x = -2 + l. Let f(d) = d**2 + d + 5. Give f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 88*f**5 - 40*f**5 - 175*f**5 + (-f**3 + 0*f**3 - f**3)*(-3*f**2 + 6*f**2 - f**2).\nAnswer: -131*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-4 + -3*(sqrt(425) + 3 + 5 - ((1*(sqrt(425) - sqrt(425)*3) - sqrt(425))**2 + sqrt(425))))*4.\nAnswer: 91576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12010 - -1?\nAnswer: -12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -4*t + 33. What are the prime factors of z(-10)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 115 = 6*c - c, 0 = -c - w + 23. Suppose -h = 11 - c. Solve 3*m - 3 = h for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-16)*-2680*95\/(-5700)?\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 - -8. Suppose -4*i = -3*w + 32 - 36, 2*i = -2*w - 12. What is the fourth smallest value in -5, w, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*z + 3*z - 2*z**2)*(-145 + 25*z**2 + 145) in the form n + o*z + v*z**4 + m*z**2 + q*z**3 and give v.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -a - 27344*c - 41 = -27342*c, 198*a - c = -575 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the third derivative of -9*j**7\/70 - 3*j**6\/40 + 2*j**5\/5 + j**4\/2 - 2*j**2 - 7. Let a(w) = 0. What is w?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -0.141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 3*f - 0 + 2, -k - 6 = -4*f. Suppose 0 = -13*y - 0*y + 39. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 1 - 1)*(-8*i**2 - 17*i**2 + 9*i**2) to m + s*i + g*i**2 and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 528 minutes before 7:09 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**3 + 2*k**3 + 5*k**2 - 4*k**3 + 2. Let p be o(5). Factor -2*n**p - 4\/5 - 14\/5*n.\nAnswer: -2*(n + 1)*(5*n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -993, -237, 521, 1281, 2043, 2807?\n\"Answer: d**2 + 753*d - 1747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/g**(2\/15)*g**(-14))**(-44)*((g**3*g)**11)**(-2\/63) assuming g is positive.\nAnswer: g**(181588\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -18.58 + 0.01\nAnswer: -18.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times 0.084425\nAnswer: 0.0422125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor -26935*f - 2*f**2 - 112130 - 748542 + 29559*f.\nAnswer: -2*(f - 656)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*t**3 - 159 - 202 + 361.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of 1\/14*p**4 + 2*p - 1\/70*p**5 - 1\/105*p**6 - 2\/7*p**2 + 1\/21*p**3 + 0. Solve n(c) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 488 + (3 + -1 - (2 + 0)). Let o be 2\/14 + 2\/28*x. Suppose 1 = -5*u - p + 24, -5*u = 5*p - o. Solve n = u + 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -5 - -1 - (-2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -5*w + 133. Let q be c(26). Let g = 2 - 2. What is the second biggest value in q, g, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*-6.15.\nAnswer: 1.845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 4038, 3981, 3930, 3891, 3870, 3873, 3906?\n\"Answer: k**3 - 3*k**2 - 55*k + 4095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 3, x: 1, r: 4, k: 3}. What is prob of picking 1 p and 3 k?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 288*f + 367*f - 343*f + 968*f + 884*f - 3*f - 4*f + 4*f + (-4*f + 4*f + f)*(1 + 1 - 3).\nAnswer: 2160*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 4.89 - 4. Let i = -0.62 + z. Let y = -0.03 - i. Which is the closest to -4? (a) 1 (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2541*k + 395*k**2 + 2541*k)*((k + 0*k - 2*k)*(-4*k - k**2 + 4*k) + 2*k**3 - 2*k**3 + 3*k**3) - 10*k**5 + 9*k**2 + 12*k**5 + 0*k**2.\nAnswer: 1582*k**5 + 9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x be 28\/(-5) + 1 - 8\/20. Is -3*(-4)\/6 - 199*x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 538.7305nm in millimeters?\nAnswer: 0.0005387305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16.76 - -17. Is n != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*t - 661 + 878 = 715*t + 5747 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 12498, 24985, 37472, 49959?\n\"Answer: 12487*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -2 - 8*b + 17*b + 3. Suppose 4*w - 2*k = 3*k, 13 = w + 2*k. Suppose -3*f + 8 = n, -5*n - 7 = w*f - 27. Calculate s(n).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.9402 to two decimal places.\nAnswer: -2.94","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (119 + -110 - (1 + 5)) + 54.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2679983440.\nAnswer: 2, 5, 19, 1763147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-3551)\/(-795) - 7\/(-210)) + 9. Factor 21\/4*v**2 + k + 195\/4*v.\nAnswer: 3*(v + 9)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 20\/(-8) + (2 - -1). Let c = -3.9 + -1.1. What is the nearest to 1\/3 in c, u, 2\/13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-u**2 + 4*u**2 - u**2)*(-u + 2*u - 2*u) + 4*u**3 - u**3 - 4*u**3)*(-1 + 1 + 2*u**2) + u**5 - 1 + 1 + (-2*u**2 + 3*u**2 - 3*u**2)*(u**3 - 5*u + 5*u).\nAnswer: -7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6044511 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 78?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a**4 - 3*a**3 - a**2 + 21*a - 13. Let o(j) = -10*j**4 + 16*j**3 + 6*j**2 - 106*j + 66. Let t(z) = -6*o(z) - 28*x(z). Factor t(s).\nAnswer: 4*(s - 2)**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114)*1 + sqrt(114))*1)\/(sqrt(6) - -2*sqrt(54)) + (1 + sqrt(95)\/sqrt(5))*-6*-4.\nAnswer: 24 + 170*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 0*g - 5*g - 41 = 0, 0 = -5*u - 5*g + 15. Let a be 2\/3 - (-1666)\/21. Let c be a*2*22\/55. Calculate the highest common factor of u and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6*i - 3*i**3 + 6*i - 4*i**2 + 3 + i**3 as k + j*i**2 + d*i + w*i**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*x**2 + 0*x**2 - 18*x**2.\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 1 + sqrt(448))**2.\nAnswer: 96*sqrt(7) + 484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 281, 1119, 2519, 4487, 7029?\n\"Answer: o**3 + 275*o**2 + 6*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*q - 9*q**2 + 2*q**2 - 2 + 4*q**2 + 6*q**2 - 12*q**3 to x + p*q + t*q**2 + k*q**3 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 103535604 divided by -6\nAnswer: -17255934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 47599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q + 2*a = -5*q + 18, -4*q + 3*a + 19 = 0. Let y be (-1 - -3)*18\/q. Does 9 divide 159\/y - 1\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -196 and -184 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/8788 and 19\/8450.\nAnswer: 219700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/(-120)*-5)\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.2632 - -9.7368. What is the second biggest value in b, -5, 1\/3, 20?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -643, -3, 128, 4, -4.\nAnswer: -643, -4, -3, 0, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 30775441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -100100000100010001100000 (base 2) to base 6.\nAnswer: -534351412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**2 + 11*w - 4. Calculate j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 292, 1959, 6484, 15295, 29820, 51487, 81724, 121959?\n\"Answer: 238*a**3 + a**2 - 2*a + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8 + -2*(-6)\/12. Suppose -3*c = -m*c + 6438. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27 + (-5 - (-8 - -7)) - -12?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p**2 + 30*p - 2091. Let q(g) = g**2 + 6*g + 2. Give -5*q(r) + u(r).\nAnswer: -2*r**2 - 2101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = 33 + -21. Suppose -5*o = -y*o - 28. Which is greater: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1005.589479 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = -391 + 336. Let y = j + 69. What is the greatest common factor of 77 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -33321123 (base 4) to base 13\nAnswer: -2383b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 20628*i + 2110*i + 134590 = 407446 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -21.565626 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2980122?\nAnswer: 2, 3, 496687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) be the third derivative of 1407*j**6\/40 - 14*j**5\/5 + 7*j**4 + 61*j**2 + 6*j. Let k(p) = -126*p**3 + 5*p**2 - 5*p. Give -168*k(g) - 5*u(g).\nAnswer: 63*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + c**3)*(7 - 7 + 2*c + c**2 - 1).\nAnswer: c**5 + 2*c**4 - c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = x - h, -x + 4*h - 4 = 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1d9513 + -b?\nAnswer: 1d9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 352506 and 20852790?\nAnswer: 4578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 10 + 6 = 0. Suppose -2*d - 2542 = -s*r, -3*d + 653 = r - 0*d. Suppose -2*p + 5*x = x - r, 3*x - 1002 = -3*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.753215 millennia?\nAnswer: 753.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the third derivative of 0*l + 5\/24*l**4 + 0 - 1\/120*l**6 - 1\/2*l**3 - 5*l**2 + 1\/15*l**5. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -10*g**2 - 1245*g - 1259. Let t(l) = 65*l**2 + 8715*l + 8810. Let v(f) = -20*o(f) - 3*t(f). Find m, given that v(m) = 0.\nAnswer: -1, 250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-3))\/(87\/1566)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -194 at least -1557\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 4 - 46 + 4*d - 4*d - 2*d. Let k(r) = 1. Let y(i) = -i - 5. Let t(m) = -5*k(m) - y(m). Calculate t(w(n)).\nAnswer: -2*n - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and 251955?\nAnswer: -75586.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -642296890.2 take away 27?\nAnswer: -642296917.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 182 + -182.0000011. Round l to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -19 by -19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2*-1*-4*(-5)\/180\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -91158, -91351, -91672, -92121?\n\"Answer: -64*t**2 - t - 91093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 324 = 5*k. Let p = k - -325\/4. Calculate the common denominator of p and 26\/35.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 2988.8949 months?\nAnswer: 24.9074575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the second derivative of -q**3\/2 - q. Let l(w) = -2*w**2 + 9*w - 7. Let u be l(3). Let b(o) = 2*o - 2*o - 11*o**u + 26*o**2. Give n(b(p)).\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 97952912 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.016 + -17.984. Let y = 142681.119 - 142663.1189874. Let a = l + y. What is a rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1010010001 (base 2) in base 7?\nAnswer: -1626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -70 - -72. Suppose -l*g + 1 + 11 = -4*r, g - 2 = 3*r. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -l + q - 1, 4*q - 4 = 5*l - 0*q. Let t be ((-8)\/(-12))\/((-1)\/(-6)). Let d(m) = m**2 - 6*m + 3. Let w be d(t). Sort -1, l, w.\nAnswer: w, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 665616191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s**3 - 2966*s**2 + 2*s + 2966 = 0.\nAnswer: -1483, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 96\/(-40) + (36\/(-10) - -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*o = -30*o - 54. Sort 10, 1, o.\nAnswer: o, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -6, -30, -94, -216, -414?\n\"Answer: -3*p**3 - 2*p**2 + 3*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 414\/19, -8, 2 in decreasing order.\nAnswer: 414\/19, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1199.149722 rounded to the nearest 10?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-5)*(-5)\/(-3). Let u = 0.392 + -174.392. Let p = u + 172. Put p, f, -0.4 in decreasing order.\nAnswer: f, -0.4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112, -238, -390, -580, -820, -1122, -1498, -1960?\nAnswer: -2520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.4 + -0.3. What is m rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.32 + 3.52. Let v = 0.2 - x. Let p be 5\/6 + 2\/(-4). Sort p, v, -4 in increasing order.\nAnswer: -4, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of 113*b**6\/60 - 77*b**5\/4 - 306*b**2. Find the third derivative of s(i) wrt i.\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the third derivative of -z**4\/4 + 9*z**3\/2 - 4644*z**2. Calculate u(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 40966 - 40961.44508. Let g = x + -4.2549215. Let p = g - 0.3. Round p to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 3 - 3.646217195.\nAnswer: -0.646217195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1223752, -2447506, -3671252, -4894990?\nAnswer: -6118720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -15\/134?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the second derivative of -3*t**5\/20 - t**4\/6 + t**2\/2 - t. Let d be q(-1). Factor -4*i**3 - 1 + 2*i - 1 + d*i**5 + 2.\nAnswer: 2*i*(i - 1)**2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 71\/(-710)*(-10)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 845 less than 848?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t = 27 + -26. Do t and -2\/23 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/8 - (-33)\/264.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 52, 57, 62, 67?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 0*k = 2*k + 10, -3*k + 15 = a. Let u(c) = c**2 - 10*c - 10. Let b be u(-7). Let o = b - 73. Calculate the highest common divisor of o and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + (-3 - 6\/(-3)). Suppose -3*l + 95 = -5*n - 8*l, l - 101 = 4*n. What is the units digit of 9\/r*n\/36?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*m**3 - 38*m + 38*m.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-859*v - 881*v + 1435*v)*(7 + 1 + 6)*(-4 + v + 4) to the form m + t*v**2 + p*v and give t.\nAnswer: -4270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:27 PM and 2:20 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4 + (-33)\/(-9))*-3*5. Suppose n*k - 12 = 3*v + 2*k, -v = -5*k. Let c = -77\/15 - v. What is the closest to -0.2 in -2, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 - 5*g + 16. Is 10 a factor of k(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7 and 168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*l**2*s**2 + 7*l**2 + 4*l + 14*s**2 wrt l?\nAnswer: 24*s**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 913*t**3 - 872*t**3 + 20*t**2 + 17*t**2 wrt t?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21330 (base 4) to base 9.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-4))\/(4\/(-32)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + 231023333121?\nAnswer: 231023333120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 681000 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 22325647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -2*k**2 - k + 3. Let z = 4 + 2. Let m be u(z). Let p = 527\/7 + m. Which is bigger: p or -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -l + 0*h - 2*h = 7, -3*l + 5*h + 12 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -5*q + j, 0 = -5*q + 5*j + 22 + 13. Suppose 0 = 2*i - 4 - 8. Suppose c - q*c = -i. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1036753313.\nAnswer: 17, 23, 1523, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000323344102 rounded to 7 decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*m - 2 - 50*m + 296*m.\nAnswer: 254*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 79*c**2 - 156*c**2 + 92*c**2. Let u be 1 - 1\/(2\/(-2)). Let v(g) = u*g - g - 2*g. Determine z(v(j)).\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -2, -0.057, 0.3, -3, -20455, 3, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12\/3529 + -511921\/63522. What is the common denominator of o and 1\/2*62\/(-4)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 25.3 (b) -61 (c) 149\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 129*m + 137*m + 40 = 271*m, -6*m + 33 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3914976 and 3914976?\nAnswer: 3914976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 181985603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -7\/330 and -1\/8086911?\nAnswer: 889560210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11345146 to the nearest integer?\nAnswer: 3368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 75234152?\nAnswer: 2, 7, 1343467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1552 from -0.3.\nAnswer: -1552.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/257 (b) 3 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-6 - 0)*(-16)\/72*12. Find the third derivative of -19*u**2 - 5 - g*u + 16*u + 16*u**4 + 37*u**2 + 13*u**4 wrt u.\nAnswer: 696*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(33) + sqrt(33))\/sqrt(3)*4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3679 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 2*d**2 - 2. Let s(x) = -17*x + 15. Let o be s(1). Let t be (-2)\/((-3)\/(-5) + -1). Let b(h) = h**2 + h - t + 0*h + 3. What is o*j(c) + 3*b(c)?\nAnswer: -c**2 + 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*g + 3*g - 4*g + (1 - 1 + 6)*(-2*g + g - 2*g) + 3*g + 0*g + 3*g.\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 115932 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + c + 2*f = -22, c + 2 = 2*f. Let o = 21 + c. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -d**8\/336 - 3*d**7\/70 + d**2 - 151. Find g, given that j(g) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1173694 nanometers to kilometers.\nAnswer: 0.0000000000001173694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 6*q + 31. What is v(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 21029.96808 to the nearest integer.\nAnswer: 21030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3603*f + 3614*f - 160 = 2*i - 5*i, -2*f + 38 = 5*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 83157831*x**5 - 24451*x**2 + 8*x wrt x.\nAnswer: 4989469860*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -8 times -3?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1256, -4990, -11200, -19892, -31072, -44746?\nAnswer: -60920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -511*((-30)\/7 + 4)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6849 = -13*c - 4665. What is the highest common factor of c and 1764?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-l + 2*l + 0*l)*(-10*l**2 - 8*l**3 + 10*l**2)*(-10*l + 23*l + 43*l) - 1 + 1 - 2*l**5.\nAnswer: -450*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 + -3. Let t(n) = n + 5. Let j be t(q). Suppose -5*r + 0*r = -4*z + 28, 0 = -3*r + 4*z - 20. Which is the nearest to j? (a) 3 (b) -2\/13 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -89*b**2. Let q(c) = -533*c**2. Determine 6*q(y) - 39*r(y).\nAnswer: 273*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4601 or 4600?\nAnswer: 4601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1752564996 and 6552?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 3421920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 2907*u + 2864*u - 3 in the form w*u + d and give w.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1044 = 4*g - 4*d, -d - 1 = -5. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 30419?\nAnswer: 5\/30419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 202244 is divided by 101104.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 611393 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m - 5. Let z = -23 + 16. Let u be p(z). What is the third derivative of -t**u + t**2 + t**2 + 2*t**3 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5653.7958 - 5653. What is a rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*h - h - 58*h - 36*h.\nAnswer: -80*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and 0.08731538.\nAnswer: -0.034926152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 5*n**2 + 4*n - 1. Let p be (3\/(-4))\/(2\/8). Let q be d(p). Let s be (q + -6)*(5001 - 1). Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 400 minutes after 2:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 360\/340 + (-6)\/102.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 PM and 2:25 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1917191 is divided by 429.\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 36172580243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 26*g**2 + 7. Suppose -169*j + 671 + 556 = 213. Let k(m) = -1. Determine j*k(q) + f(q).\nAnswer: 26*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 60901787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11101 + -100110001000111011011001?\nAnswer: -100110001000111011110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*a**3 + 238*a**2 + 70*a**3 + 237*a**2 - 626*a**2 + 151*a**2.\nAnswer: 179*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06956802 rounded to four dps?\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 319727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13*y - 10*y + 5*y)*(2*y**2 + 12*y**2 + y + 59*y**2).\nAnswer: -1314*y**3 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 720.0276 centuries?\nAnswer: 7200.276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -0.4, 1, -1, -16, 80145, -1\/4, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 4*k = -25 + 33 + 4, -10*u - 3*k = 2*k + 45 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1426, -3710, -6858, -10870?\n\"Answer: -432*n**2 - 988*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = 9, -7 - 3 = 5*b + 5*l. Let c = -4 - -8. Let r = -6 + 9. Sort b, c, r in increasing order.\nAnswer: b, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((1*sqrt(2352) + sqrt(2352) - sqrt(2352)) + sqrt(2352))\/(sqrt(2)*-2*5))\/((sqrt(192)*2 + (sqrt(84)*-1)\/sqrt(7))*2).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, p: 18}. Give prob of picking 4 p.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 9114*a - 36461. Let d be k(4). Let m be (-2)\/3*6\/4. Let f(q) = 6*q**2 + 3*q + 7. Let p(v) = -v**2 - v - 1. What is d*p(u) + m*f(u)?\nAnswer: -u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9833?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -128373 divided by -6113\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -23 - -22. Let p = 2.01 + -1.81. What is the second smallest value in v, -26\/7, -0.3, p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -6*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -4348, -4349, -4350, -4351?\n\"Answer: -w - 4347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1 + 2101220?\nAnswer: 2101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 2\/17, -3\/4, 3, -5\/2, 4 in descending order.\nAnswer: 4, 3, 2\/17, -0.1, -3\/4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(6\/10 - (-16)\/40).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n - 51. Suppose -5*y = p + 24, 803*y + 34 = 5*p + 806*y. Let u(f) = -10. Calculate p*u(t) - 2*m(t).\nAnswer: -2*t - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 2*p**4 + 50*p**2 + 7*p + 4. Let v(g) = -2*g**4 - 49*g**2 - 6*g - 3. Let x(h) = 6*v(h) + 5*w(h). What is the second derivative of x(s) wrt s?\nAnswer: -24*s**2 - 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 49, -34, -4?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153*o - 153*o - 8*o**2.\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 216 and 235344.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o\/((o*o*((o*o**(2\/5)\/o*o*o)\/o)\/o)\/o))**(26\/3)*o*o**(2\/9)*(o\/(o\/(o**(-3\/7)\/o)))\/o assuming o is positive.\nAnswer: o**(1258\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -980392\/129 at least as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 25*c**2 + 3*c + 51 + 2*c**3 - 29*c**2 - 49 to q + o*c**2 + s*c + n*c**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 34\/207 and -119\/11616.\nAnswer: 801504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-3*(-4)\/48)\/((369\/(-540))\/(-41))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 75230 (b) -60 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 8:48 PM?\nAnswer: 2:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18061674 is divided by 2979.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/3)\/(5\/(-510)). What is t rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -2*y**2 - 8*y + 31. Let c be l(-6). Suppose 19*x = 22*x - 105. What is the highest common factor of c and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 0*d - 6*d - 7*d + 17*d. Let r(k) = -2*k + k - k. Calculate c(r(n)).\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 3 = 5*k - 13, 5*k = 3*v + 4. Solve -2*z - 6*i = -k*i + 2, 2*z - 2*i = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 97771864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 7*q - 14. Let i(m) = -10*m + 21. Let s(w) = 5*i(w) + 7*n(w). Let r be s(10). Which is bigger: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/2640 and 43\/6.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -249*g - 30. Let n be u(-11). Suppose -3*o - f + 2718 = -0*f, 3*o + 4*f = n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -260*h**2 + 255*h**2 - 2*h**6 - 2*h**6 wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 1, 21, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 18 - ((-46970)\/(-980) + -48 + 463\/14).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -11*d + 6. What is the units digit of g(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of 55 + 7\/3*c**3 - 2*c + 2*c**2 + 1\/4*c**4. Determine k(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1692711 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 256 - (-131 + 373) - 1731\/123?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + c = -19, 0 = 5*m + 4*c + 17 - 9 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/10)\/(-3*(-1)\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 92003.61 years to months.\nAnswer: 1104043.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9560 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 14140144414 - 10?\nAnswer: 14140144404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -14 - -59. Let i be 7 - (-8 + (-20)\/(-2)). Calculate the highest common factor of l and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 640 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -o**3 + 18954*o**2 + 227581*o + 208626 = 0.\nAnswer: -11, -1, 18966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.19 or 2\/7?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t = -5*t + b + 1, 4*b + 19 = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -131 - -257\/2. Let v = -39 + 68. Let b = v - 25. What is the smallest value in y, -2\/9, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2388829 a multiple of 263?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1679, -7319, -16951, -30563, -48143, -69679?\nAnswer: -95159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 16, c: 2}. What is prob of picking 2 d and 1 c?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*f - 4*f + 4*b, 0 = b - 4. Is 3 a factor of (-2)\/(((-16)\/f)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 14, s: 1}. What is prob of picking 2 x and 1 s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l**3 - 19*l**2 - 116*l - 497. Let n be i(-14). Let y(c) = 2*c + 3. Let p be y(2). What is the highest common divisor of p and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*6*(sqrt(68) + -2 - sqrt(68)))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of s**3\/9 - s**2\/3 + s\/3 - 17. Factor z(a).\nAnswer: (a - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 99 + -63. Let g = -761320 - -761355.9933. Let x = m - g. What is x rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*a + 3 + 1 - a - 3 - 21.\nAnswer: -a - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.09076 + 0.90924. Let c = 63 + -38. Which is greater: p or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.185 - -0.185. Put p, 5, -1.2, 3 in decreasing order.\nAnswer: 5, 3, -1.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(2\/12)*(-168)\/(-24). Suppose 3*a = -15*a + 162. Suppose -3*h - l = y, a*h + 45 = 5*h - 5*l. Is h <= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = -4*v**2 + 5*v + 325. Let u(y) = y**2 - y. Determine b(t) + 3*u(t).\nAnswer: -t**2 + 2*t + 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8118166*f - 8118161*f - 8118270*f + 24354594*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, -632120 in decreasing order.\nAnswer: 0, -5, -632120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1087.5 minus 63693961?\nAnswer: -63692873.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -40 + 44 + (0 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ogo when three letters picked without replacement from {q: 1, o: 2, s: 1, g: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((a*(a**(-2\/7)*a)\/a*a)\/a)\/a)\/a*a)**(-36)\/(a\/(((a*a**(2\/15)*a*a)\/a)\/a)*a*(a\/a**(3\/8))\/a))**(37\/5) assuming a is positive.\nAnswer: a**(304399\/4200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -36, -136, -304, -540?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 0 - -32816?\nAnswer: 32816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n be 18\/(-45) + (-14)\/(-260). Let f = 2\/13 - n. Suppose 0*t**3 + 1\/4 + 0*t - f*t**2 + 1\/4*t**4 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3366861*w**4 - 237415*w**2.\nAnswer: -80804664*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/6)\/(105\/(-350)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 54706452 times -4?\nAnswer: -218825808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lqlqllqllqlllqll. What is prob of picking 1 l and 1 q?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 9\/25 of a millennium?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -5 + 1. What is the second derivative of b*n + n**3 + 0*n + 0*n**3 wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 385*i**5 - 118*i**4 + 1662*i**3 + 65123923*i - 5.\nAnswer: 7700*i**3 - 1416*i**2 + 9972*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 26, 13 = -5*v + 5*a + 223. Let h(w) = w - 4. Let y be h(6). Suppose 0 = 6*x - y*x - 116. What is the remainder when v is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + -40397.6402?\nAnswer: -40380.6402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 131\/444 and 38\/21.\nAnswer: 3108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 8 = -2*d. Suppose 78 - 362 = -d*p. Let l = p - 49. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 13057098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -1.546 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 27 = 3*b, -4*b + 4 = -h - 7. Suppose b*p = -3*g + 757, -5*p = -2*g + 266 + 208. Is g a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -853940, 2, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, r: 1, y: 7, b: 2, v: 6}. What is prob of picking 1 r and 1 c?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -102311 (base 7) to base 13\nAnswer: -8057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 186\/(-62) + (1280 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0951155 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the second derivative of t**4\/12 + 4*t**3\/3 - 9*t**2 + 17*t. Let p be i(-10). Suppose 165 + p = g. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1497 = 4*r + 1517 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 20918 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 50 divided by 2486881?\nAnswer: 50\/2486881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 13 = 5. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 - -1) + (2 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u - 3*u - 2*u)*(4*u - 3*u + 0*u) + 187*u**2 - 7 - 90*u**2 - 92*u**2 + (2*u + 2*u - 3*u)*(2*u - 2*u - 2*u).\nAnswer: u**2 - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 285.444 at most as big as -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -834.99956 - -835. Round g to five decimal places.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-1*sqrt(896))\/(sqrt(77)\/(sqrt(22)\/sqrt(2))))**2.\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert a (base 13) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find h such that 7*h**3\/3 - 35911*h**2\/3 - 66818*h\/3 + 174488 = 0.\nAnswer: -34\/7, 3, 5132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1\/22, -8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q = -4*t - 64, 36*q + 14068*t - 14066*t - 6 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -5*i**2 + 3*i - 41. Let b(o) = 4*o**2 - 2*o + 40. Give 3*b(l) + 2*z(l).\nAnswer: 2*l**2 + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 - d**2 + d + 3. Let s be u(0). Let g be 4\/14 - (-5)\/7. Suppose s - g = -2*w. Which is the third biggest value? (a) -5 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2\/2 + 1)*1. Suppose s = -4*s + 115. Suppose f - s = -3*r - f, -4*f = -2*r - 6. Put j, -3, r in decreasing order.\nAnswer: r, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the second derivative of a**7\/63 - a**6\/3 + 37*a**5\/15 - 55*a**4\/9 - 25*a**3\/3 + 125*a**2\/3 - 168*a + 2. Factor b(y).\nAnswer: 2*(y - 5)**3*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -66 + 79. Suppose o + 2*o = -4*w - f, 4*o + 2*w + 14 = 0. Let x be o\/15 + (-21)\/(-5). Let a(z) = 3*z - 6. Give a(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the second derivative of h**5\/20 + h**4\/4 + 2*h**3\/3 + 5*h**2\/2 - 2*h. Let v be p(-3). Let f = -6 - v. Solve 2*t = 3 + f for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 235599358?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 2, 0, 3 in increasing order.\nAnswer: -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 248 + 52 = 3*h. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -39*f - 17. Let w(h) = -2*h - 1. Let v(z) = -z**3 - 9*z**2 - 2. Let y be v(-5). Let u(b) = y*w(b) + 6*o(b). Let s(c) = 4*c. Calculate s(u(r)).\nAnswer: -120*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 9187 less than 9190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 10:49 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 219 - 219. Suppose -a + 3 = o, -4*a + 0*a = 4*q - 1468. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1876\/(-268) + -1 + (-308)\/(-38). What is the nearest to -0.7 in -1, h, 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/17 in -10\/7, -0.5, 0.22, -0.06, 0.1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*f - 97*f = -5, -3*z + 1812 = -3*f. Does 6 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is d in 5*d**2 - 4323300*d + 25939620 = 0?\nAnswer: 6, 864654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 21a613 + 25?\nAnswer: 21a638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (161 + -165)*(-11)\/220.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - 46 + 38 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.452? (a) 4 (b) 13 (c) -0.7434 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.5 (c) -438\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7 and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*5*3*sqrt(98).\nAnswer: -525*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 204 minutes before 4:56 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -101, -1735, 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 7) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 316.058 millilitres in litres?\nAnswer: 0.316058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 AM and 2:18 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.5 and -370?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**6\/k**(-1\/3)*((k**0*k)\/k*k)**12*((k**(-3\/2)*k)\/(k\/(k**(-2)\/k)))\/(k**1)**(24\/5) assuming k is positive.\nAnswer: k**(271\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**3 + 12*w**2 - 34*w - 10. Let r be v(6). Let z(j) = -j**2 + 8*j + 4. Let d be z(6). Suppose -9*q + 5*q + d = 0. Solve -q = -4*u + r*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-90)\/(-1 + 3\/(-3)). Calculate the highest common divisor of r and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6 - 7.3. Let i = -0.3 - h. Let g = -0.25 - -4.25. What is the third smallest value in i, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2238 times 5\nAnswer: -11190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 26 - 12. Suppose o*d = -6 + 34. Suppose -d = -2*n, -n = -2*t - 3*t + 18149. What is t rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1106093 is divided by 489.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -8. Let j be (-24)\/(-2) - (4 - z). Suppose 4*r = -5*l + 62, -r - 4*l + 0 = -j. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p, 1 v, and 1 y when four letters picked without replacement from {y: 1, k: 1, v: 1, p: 2, b: 1, c: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6740 and 254101370?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11421451 to the power of 1\/3, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.57 - -0.37. What is the nearest to 3 in -2, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -4*w + 195. Does 17 divide i(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -2*j**4 - 464*j**3 - 9102*j**2 - 50840*j - 42200 = 0.\nAnswer: -211, -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 145743684 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 61331 = -311*a - 1833*a - 20141 for a.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 5:45 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*h + 3*c = 6, -8 = 5*h + 216*c - 220*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69 is divided by 38?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -1\/6 (b) 2 (c) -2316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1333 (base 5) to base 16\nAnswer: -da","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 366618 a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 7751 or 8112?\nAnswer: 8112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 602*s**2*u**3 + 1138*s**2*u - 2*s**2 - 73*s*u**3 - 2*s*u**2 - 15*s*u + 9*u**3 wrt s?\nAnswer: 1204*u**3 + 2276*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y - 10. Let d be b(7). Let w be 2\/(-3)*(-210)\/28. Sort 3, d, w in decreasing order.\nAnswer: w, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4 - -4. Suppose -i + c + 5 = 0. Solve 0 = 4*p - 5*y - 12 - i, 2*p + 2*y = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 90.973 and -1.9.\nAnswer: -172.8487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 30131 (base 4) to base 14\nAnswer: 40d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 149 + -89. Let b be 35\/m - 3\/9. Factor b*y**2 + 0 - 1\/4*y.\nAnswer: y*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 4, -1\/11, -0.06, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 94\/1175*-5*2680\/8?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6 - 368\/(-60))\/(-1)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.12549 times 0.1\nAnswer: -0.012549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ar when two letters picked without replacement from {k: 1, x: 1, r: 1, a: 1, g: 2, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 330686740?\nAnswer: 2, 5, 59, 280243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 + 6*l**2 - 4*l - 10. Let c be w(-6). Suppose 0 = -2*h + 54 - c. Calculate the lowest common multiple of 1\/2 + 23\/2 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2\/5, 12, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) be the first derivative of 112\/3*q**3 - 224 - 40*q - 42*q**2 + 3*q**4. Factor b(y).\nAnswer: 4*(y - 1)*(y + 10)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 70*j + 137*j - 1513170. List the prime factors of j.\nAnswer: 2, 5, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -12*n. Let v(h) be the third derivative of -h**7\/1680 - h**5\/60 + 23*h**2. Let w(j) be the third derivative of v(j). Calculate b(w(o)).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 1974\/376 - (14\/(-8) + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 - 22*s + 24. Give r(20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -22 - -19 - (0 + -11) - (22 + -48)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 12*c. Let h(z) = 1265506*z. Calculate n(h(g)).\nAnswer: 15186072*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -j**2 + 4*j - 1. Let u be z(3). Let q be 11 + 3 + (2 - 2). Suppose u*r - q = r. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -19 + 31. Let i = g + -8. Let o(s) be the first derivative of s**4\/4 - s**3 - 5*s**2\/2 + 1201. Calculate o(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(1100) + 1))**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**3 + 9*a**2 - 10*a + 8. Let z(d) = 1. Let j(f) = q(f) - 6*z(f). Let l be j(-10). Let y = -4 + l. Let h(b) = -3*b**2 - 2*b + 1. Calculate h(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 69396, 69182, 68968?\n\"Answer: -214*h + 69610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 5*-28.6\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 36103213, 36103202, 36103179, 36103138, 36103073, 36102978, 36102847, 36102674?\nAnswer: 36102453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, l: 1, y: 2, k: 4}. What is prob of picking 2 k?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k = 2*v - 338, 2*k = 5*k - 2*v - 250. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -2*n**3 - 294*n**2 - 606*n - 298. Let h(o) = -4*o**3 - 592*o**2 - 1214*o - 598. Let w(y) = 4*h(y) - 7*r(y). Factor w(s).\nAnswer: -2*(s + 1)**2*(s + 153)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 365\/2 at least 182?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78 = -m - 2*m. Calculate the remainder when m is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-63)\/(-28))\/((-3)\/8). Is (502\/4)\/((-3)\/c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -v**2 + v - 1. Let y(g) = -4*g**2 + 19*g + 2. Let j(w) = -6*h(w) + y(w). Calculate the remainder when j(-9) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 10*i - 18. Let y be w(2). Suppose 22*d + y*t = 20*d + 6878, -t - 13771 = -4*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + 47. Calculate the common denominator of 57\/10 and -2 + (-5)\/(j\/(-14)).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -42 + 86. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 13*m**2 - 7*m - 49. Determine q(-8).\nAnswer: 839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.68 + -1.32. Round z to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.85724 - -0.857301769. What is d rounded to seven dps?\nAnswer: 0.0000618","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**1)**(-4\/7)*c*c\/(c\/(c**0*c))*c*c*c*c\/c**(2\/9)*(c**(1\/3)*c**(-1\/2))**(-1) assuming c is positive.\nAnswer: c**(677\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/8 of a day in hours?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1946*r**4*v**2 - 17*r**4 - 7970*v**2 wrt r.\nAnswer: -7784*r**3*v**2 - 68*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 61842*k**2 - 1755*k wrt k.\nAnswer: 123684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -2\/13 (b) 2\/1513 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 16 - 22 - (10 - (52 - (5 - 10)))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 264*q = 270*q - 846. What is the greatest common divisor of 3 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 10138.27835 to 0 decimal places.\nAnswer: 10138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4461403643 to the power of 1\/3, to the nearest integer?\nAnswer: 1646","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2285\/2*(18 - 2)\/(-4). Round r to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 6 = u. Suppose 10*d - 96 + 38 = 132. What is the smallest common multiple of d and u?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 159842954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 70340 = -2525*w + 19096 - 140656 for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = i + u - 0, 3*u + 5 = 4*i. Suppose -9 = -i*a + 73. Does 21 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -72 - -359\/5. Let c = 271.01 - 271. Which is smaller: b or c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from {s: 1, c: 4, p: 1, r: 2, y: 1, b: 3}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 255 - 136. Suppose -f - y + u = -6*y, 8 = -2*y. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o - o + 2*o**2 + (4 - o - 4)*(o + 3 - 3) - 2*o**2 + o**2 - o**2)*(-o**3 + 3*o**3 - 4*o**3 + (-3*o**2 - 3*o**2 + 5*o**2)*(-o + o + 2*o)).\nAnswer: 4*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-4)*-10 + 2. Let x(b) = 0*b**3 - 5422*b + 5420*b - 7 - b**3 + 9*b**2. What is the tens digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + sqrt(27) + (sqrt(300) - -2*sqrt(300)).\nAnswer: 4 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (-187)\/(-374)*(-94)\/(-7) - (6 - -3)\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - -12455525.32.\nAnswer: 12455521.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -9566368?\nAnswer: -1\/4783184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = c**2 - 7*c + 8. Let s(g) = 17*g + 21. Let x be s(3). Let k be (x\/60)\/((-3)\/(-20)). Give b(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 27513372 is divided by 1855.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1.02 + -0.02. Let n = 2 - z. Let v = 5.4 - 5. Which is the nearest to -1\/4? (a) n (b) v (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -13 + b1ba?\nAnswer: b1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0742986542 rounded to three decimal places?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**3 + 7*q**2 + q + 7. Let i be o(-6). Calculate the highest common divisor of 259 and i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-41*s**2 - 14*s**2 - s**2)*(3*s**3 - s**3 - s**3) + 2*s**2 + s**5 - 2*s**2 + (2*s**2 - 3 + 3)*(s**3 - 1 + 1) + s**5 - s**5 - s**5.\nAnswer: -54*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) 0.1 (b) -219 (c) 5 (d) 134\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 53 + 91 = 0. Let k = y - 14. Suppose -3*g = h - 425, -5*g + k*h = 135 - 810. What are the prime factors of g?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -42.94406 + -0.05594. Which is the closest to 0.2? (a) -1\/3 (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16604178.5 plus 349.063?\nAnswer: -16603829.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/(-18) + (-1057)\/63. Let i = -5 - u. Suppose 0 = 4*g - 2*g - 46. Calculate the remainder when g is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -7*y**3 - 9*y**2 + 7*y - 13. Let c(q) = -3*q**3 - 4*q**2 + 3*q - 6. Let a(u) = -2*b(u) + 5*c(u). Calculate a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from bkjkjoiijbdbboobjkb?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from zvibrbzyv?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 4*v + 9 - v - 5*v - 8. Let s be 15\/(-3)*(-1)\/1. Let g(l) = -l + 3. Let j(i) = -i - 1. Let r(b) = -g(b) - 2*j(b). What is s*q(m) + 4*r(m)?\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 1605.8295 - -0.3.\nAnswer: 1606.1295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12400, 13127, 13854?\nAnswer: 14581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be 60\/210 - 80\/(-14). What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y - 2. Let r(j) = -12*j + 17. Let l(p) = r(p) + 6*t(p). Let o be l(0). Solve 2*a - 2*f + 2 = 0, f = o*a - 3*f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63885076 at least as big as 63885074?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*l + 110 = -6*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 1 + 14. Let l(y) = -3*y + 2 + 1 + 6*y - 3*y**2 - 2 - 2*y**3. Let j(t) = 2*t**3 - 2*t**3 + 2*t - 2*t**2 - 2*t**3. Calculate b*j(o) - 2*l(o).\nAnswer: -2*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-84)\/22 + 725373\/(-18513)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -3*l**2 + l + 1. Let d be r(-1). Let y = d + 6. Suppose 19 = 2*c + y. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 146 = 5*i. Let r = 113 - i. Let c = 541 + -531. What is the highest common factor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-34)\/20 + 0 + (-45)\/150. Let a(k) = -3*k**3 + k**2. Let v be a(-1). Put v, f, -3, 3 in increasing order.\nAnswer: -3, f, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 5*i - 1. Let o(y) = -6*y + 1. Let p(g) = -4*o(g) - 5*w(g). Let t(q) = 6*q - 4. Let f(m) = 5*p(m) + t(m). What is the units digit of f(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.015338172 to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**0\/m)**(-1))**(-19) assuming m is positive.\nAnswer: m**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.007474232 + -5944.\nAnswer: -5945.007474232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 0 (b) -1\/287 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from zwzygzi?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 105, 5, -5, -42, 0, 3 in ascending order.\nAnswer: -42, -5, 0, 3, 5, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -18 (b) -11554 (c) 8 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m + 3. Let p be a(7). Let t be 1\/(-4) + (-13)\/p. Suppose -2*g - 6 = -0*g. Sort t, -1, g in ascending order.\nAnswer: g, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 198912?\nAnswer: 2, 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.22 and -9800.87.\nAnswer: 2156.1914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -1655.375028 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3314012 (base 5) in base 16?\nAnswer: -e026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 263782?\nAnswer: 2, 131891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + -1. Suppose -40*a + 41*a - 12 = b. Suppose -a = -7*i + 4*i. Solve 2 = i*c + 18 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 5) + 6 + -9 + 8 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 5976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -158*c + 157*c + 0 - 3. Let f(o) = -5*o - 15. What is -11*d(a) + 2*f(a)?\nAnswer: a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -32*w + 5. Let t(o) = -57*o - 361. Let v(f) = -29*f - 160. Let a(i) = 4*t(i) - 9*v(i). Determine 7*a(h) + 6*d(h).\nAnswer: 39*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -218606 - -218720. Let x(r) = -7*r + 2. Let n be x(-4). Calculate the highest common divisor of n and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 114887.9086 to the nearest one thousand.\nAnswer: 115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 + j**2 + 4*j**2)*(0 + 2*j**2 + 0) - 2*j**4 + 2*j - 2*j.\nAnswer: 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**8*d\/((d**(24\/5)\/d*d)\/d) assuming d is positive.\nAnswer: d**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -519576*1\nAnswer: -519576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 130003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 46244 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -18198, -18192, -18200, -18228, -18282, -18368?\n\"Answer: -j**3 - j**2 + 16*j - 18212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9910 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10230110 (base 5) to base 15\nAnswer: 1a870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 766127513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.3*0.4713\nAnswer: 0.14139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -178*m - 401*m**2 - 140*m - 175*m + 77*m**2 - 152*m**2 wrt m.\nAnswer: -952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 43.46808ml to litres.\nAnswer: 0.04346808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 - (-5)\/((-20)\/12). Suppose -7*m + 4 = -5*m. Suppose p + m*p + 12 = 2*t, p + 4 = 4*t. Sort t, -5, j in decreasing order.\nAnswer: t, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 - -38769?\nAnswer: 38767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d = -5 + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -n - 5*g, -4*n + 190 = -4*g + 42. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/4, -0.1, -2, 7202, -4 in ascending order.\nAnswer: -4, -2, -1\/4, -0.1, 7202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/15 - (-19)\/10.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -361.1 - -361. Which is the nearest to 0.1? (a) n (b) -4 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5662764 and 39852?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 4*i**2 - 4*i**2 - 3*i**2 + i**2. Let u(p) = 1 - 3*p - 1. Determine y(u(q)).\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1\/5, 15, -4, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*p - 164 = 20*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = f - 2 - 2, 4 = f - c. Let r be -1 - -3 - (1 - f). Solve -r*y + 2 - 3 = 3*a, 5*a = -4*y - 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-21)\/(u\/(u*u\/u**(-9)))*u**(1\/5)\/((u*(u\/u**(5\/6))\/u)\/u))**(2\/75) assuming u is positive.\nAnswer: u**(-299\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (-7*n - 2*n**2 + 7*n)*(-3 + 0 + 0) as x + f*n + m*n**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10000010111110 - 1100?\nAnswer: -10000011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2005 + -316791\/158. Is 1 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 6347*r - 50811. Give h(8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, 20, 1.16, -0.6, 93?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1, -1, 884 in descending order.\nAnswer: 884, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11741 is divided by 671.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10866 is divided by 165?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 PM and 5:47 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = 17 + 2. Which is bigger: -0.2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3*r**3 - 3*r**2 + 3*r - 3. Let m be q(-3). Let l = -602\/5 - m. What is the closest to -1\/2 in 2, l, 2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s - 10. Let l be z(-5). Let u be (-26)\/l + (-2)\/10. Is (-4)\/u*(-5)\/2 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3\/7, 669, -0.07573 in decreasing order.\nAnswer: 669, 3, -0.07573, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 16\/(-80)*10*6\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**(1\/3)\/o)\/o**(1\/7))**1 assuming o is positive.\nAnswer: o**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-8061)\/(-45) + (-2)\/15. Suppose 651 = 2*i + g. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find z, given that 2199602107592*z**2\/9 + 281055352*z\/9 + 8978\/9 = 0.\nAnswer: -67\/1048714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, v: 2, u: 2, s: 2}. Give prob of picking 2 u and 2 v.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = 9*j**3 - j**2 + j - 2. Let a(c) = -8*c**3 + c**2 - c - 297. Calculate a(g) + q(g).\nAnswer: g**3 - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2853*n**2*v**2 - 921358*n**2 - 3*n*v**2 - 8*v**3 wrt v.\nAnswer: 5706*n**2*v - 6*n*v - 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 92560 divided by 8?\nAnswer: 11570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -23796, -95262, -214394, -381198, -595680, -857846, -1167702?\n\"Answer: -b**3 - 23827*b**2 + 22*b + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2 + 2048*t - 6126.\nAnswer: -2*(t - 1021)*(t - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 9 + 6 = 0. Let k = u - 8. Let c(d) = 7888*d**3 - 3*d**2 - 2*d - 3. Let y be c(k). What is y rounded to the nearest 10000?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 2 o, and 1 u when four letters picked without replacement from {u: 4, q: 1, h: 4, o: 4, p: 3, i: 4}?\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) be the first derivative of n**2 - 3. Let g(o) = -63*o. Give g(v(j)).\nAnswer: -126*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of -266*s**5 + 2835*s - 3387. Find the first derivative of h(t) wrt t.\nAnswer: -5320*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 5*h + 20 = 0, 4*j - 3 = 3*j + 2*h. Suppose -4*w - 382 = -j*z - 0*z, z - 4*w = 86. Let s = -42 + z. Is s a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(3\/(18\/(-8))))\/(56\/448)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 134 + -667\/5. Which is the third biggest value? (a) s (b) -1 (c) 0.4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -102 (base 4) in base 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 821835760 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 0.4, 0, -5, -1\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3 + 0 + -7 + 3. Let k be ((-99)\/(-27))\/(r\/(-18)). Suppose -2*n + k = n. Calculate the lowest common multiple of n and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 50 = 5*a - 0*u, 4*u + 16 = 3*a. What is the greatest common divisor of a and 848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.2 and -429244692629.\nAnswer: -429244692628.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109353295 is divided by 350?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 AM and 4:02 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/112586?\nAnswer: -3\/112586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3534 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 - 1. Calculate the least common multiple of 1 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -7*i**2 - 6*i + 1. Let v(z) = z**3 - z**2 - z. Let c = -2428 + 2434. Give c*v(d) - f(d).\nAnswer: 6*d**3 + d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -4 (c) -3\/28 (d) -1\/7 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the first derivative of 4*d**2 + 7. Let o(u) = 9*u - 8*u - 2*u. Determine q(o(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 = -5*j + 5*a, 2*j + a = 98 - 100 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 7*y**3 - y + 2. Give s(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 124\/682*3\/(-9)?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00136418 rounded to 5 dps?\nAnswer: -0.00136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - 12*k + 27. Let r be m(9). Suppose 4*p - p - 2*z - 136 = 0, r = 4*p - 4*z - 188. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 80*(-141)\/(-752)*-57*(-3 - 0). Calculate the greatest common factor of t and 225.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -17*o + 250. Let f be d(-6). What is the greatest common factor of f and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**2 + 11*j - 17. Let n = -17 + 3. Let z be v(n). Suppose b = 2*b - z. Does 5 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -481294 rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5608553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36481 is divided by 36462?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -9\/8 and -23\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -175, 4, 5 in ascending order.\nAnswer: -175, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**7\/q)**41 assuming q is positive.\nAnswer: q**246","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 0*q + q + 0*q - 4. Let x(p) = 1. Let i(a) = r(a) + 6*x(a). What is the first derivative of i(g) wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4 and 103087.\nAnswer: 412348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = -381956 - -824395. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, x: 5, f: 8, k: 2}. Give prob of sequence kf.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 807*d - 146*d + 467*d.\nAnswer: 1128*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-6)\/8 + (-1)\/(-4) - (-128640)\/(-17152). Let k be 108\/(-14) - (-6)\/(-21). Is k at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -4*l**2 - l - 9. Let y(o) = -3*o**2 - o - 8. Suppose -2*m - 4*t = -3 + 5, -5*t = 2*m + 5. Give m*y(s) - 4*n(s).\nAnswer: s**2 - s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 113*b**3 + b - 110. Let f(p) = p - 6. Let j(h) = -c(h) + f(h). Differentiate j(v) wrt v.\nAnswer: -339*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -78 + 90. Suppose 2*y - 12 - 8 = 3*z, y - 22 = 3*z. Is ((-654)\/9)\/(z\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -34 - -65. Let u = -29.68 + z. Round u to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 280633.6 to the nearest one hundred.\nAnswer: 280600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m**5 + 35*m**4 + 5*m**3 - 35*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l - 20, 13 = 2*r - l - 24. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 10*o**2 - 41*o + 77. Give p(5).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 21\/3800?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(200) + 1 - sqrt(200))*-6*5)**2 + 3 + ((-1*sqrt(44) - sqrt(44) - sqrt(44))\/sqrt(11))\/sqrt(2).\nAnswer: -3*sqrt(2) + 903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mmzm when four letters picked without replacement from bjamfzfbabbfammfm?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 12 - 14.1. Let j = p + 2.3. Let m = 0.3 - 0.2. Which is the closest to 0? (a) j (b) 2\/15 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17726430.\nAnswer: 2, 3, 5, 19, 137, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*m**3 + 173334*m - 86636*m - 86698*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3234665.\nAnswer: 5, 7, 92419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 72 divided by 18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -9113 - -2433\nAnswer: -6680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 - 1001*v. Let p(f) = -2*f. Let d(b) = 2*b. Let a(h) = 3*d(h) + 4*p(h). Give a(y(n)).\nAnswer: -2*n**2 + 2002*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express ((1 + 3 - 1)*(3*q - 6*q + 2*q) - 7*q - 13*q + 15*q)*(10*q**2 + 2*q**2 - 22*q**2) as j*q**2 + x*q**3 + f + s*q and give x.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 182051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1280 - 188. Suppose -13*t = -7*t - w. Is 27 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 70.449 and -3.\nAnswer: -211.347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16755 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y**3 + 4*y**2 - 10*y - 3. Let v = 5 + -10. Let j be x(v). Calculate the greatest common divisor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - (-845)\/270) + 6 + (-185)\/30.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1*(-26)\/(-2) + (-75)\/25. Solve -d - 4*g = -0*g - 22, 5*d = 4*g - b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.1 - -3.3. Round m to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8464895?\nAnswer: 5, 17, 53, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 301302\/4788 + -8*(-2)\/224?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0, -0.1, -217?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 319934 is divided by 63912.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand u**4 - 4*u**2 + 4*u**2 - 3*u**2 + (-7*u**3 + 3*u**3 - 7*u**3)*(130 - 167*u - 130).\nAnswer: 1838*u**4 - 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 2*v**2 + 4*v + 2. Let w be d(-2). Suppose 5*o + w*r = -0*o + 16, -10 = -o + 3*r. Suppose -u = o*u - 20. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2605, -0.04, -5 in descending order.\nAnswer: -0.04, -5, -2605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/4 + (-56)\/32. Let a be 1 + (-1 - -5)*-2. Let j(h) = h + 7. Let c be j(a). Which is smaller: o or c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 540142 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 2*u + 37 = -3*u, -5*f - u - 47 = 0. Let g be f\/12*-4 + 3. Which is smaller: 5 or g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6.9 - -7. Which is the closest to 0.2? (a) -0.3 (b) h (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -6 + 17. Let b = 152 + -138. Let x = b - w. Solve 2*l = -x*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(38)\/((sqrt(72) - (sqrt(72) - 2*sqrt(72))) + sqrt(72) - sqrt(72)) + (sqrt(76)*4 - (sqrt(171) + 1)) + 3.\nAnswer: 2 + 61*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 5*j = j. Which is smaller: j or -4\/57?\nAnswer: -4\/57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 PM and 6:29 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kuuzkukbvkvbbvhvbk. Give prob of sequence buu.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) be the second derivative of -t**5\/5 - t**4\/12 - t**3\/3 - t**2 + t + 300. Suppose -4*r + r - 3*u - 9 = 0, 4*u = -8. Calculate p(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (x**3 - 2*x**3 + 2*x**3)*(-3*x**2 - 3*x + 3*x) + (x**3 + 3*x - 3*x)*(2*x**2 + 2 - 2) + 3*x**5 - 2*x**5 + 0*x**5 - 4*x**5 + 2*x**5 + 7*x**5.\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 81 + -79. Let d(g) be the second derivative of 0 + 1\/6*g**4 + 0*g**3 + 1\/2*g**c + 2*g. Find the first derivative of d(w) wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 12, -3*t = -v - 0*v - 3. Suppose -j - 4*m + 2 = t*j, -3*j - 5*m = -1. Solve 1 = -j*a + 3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - 1 + 19*v**2 - 2 + 224*v**2 as n + p*v + b*v**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 3. Let c be -3 - k\/(3\/7). Suppose c = z + 2. Solve 4*i - 10 = -2*v, -6*i = -3*v - z*i - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u = -5 - 19. Suppose -u = 5*a + 2, -4*x + 1732 = -4*a. Suppose 3*d + 475 = 3*y - 806, -y + 2*d + x = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29037140.3 + 32469.\nAnswer: -29004671.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -14ed (base 15) to base 3.\nAnswer: -20011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 + 8*s + 3. Determine r(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1773, 3541, 5309?\n\"Answer: 1768*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) be the second derivative of -d**7\/14 - d**4\/3 - 2*d. What is the third derivative of h(n) wrt n?\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1474*o = 1478*o - 7948. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -n**5 - 2*n + 0*n + n + (2 - 2*n - 2)*(-18 + 8 + 9)*(0*n + 0*n - n**4).\nAnswer: -3*n**5 - n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -13*s + 207. Calculate z(20).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkuukukuuukuu. Give prob of picking 1 k and 2 u.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.4 * -10794.1306.\nAnswer: 4317.65224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/(q\/q**4)*q)\/q)\/q*q)**2*q*(q\/(q**13\/q))\/q*(q\/q**(-2\/43))\/q assuming q is positive.\nAnswer: q**(-127\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -4*c - 15. Give y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 97\/82480 and -137\/70582260?\nAnswer: 282329040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 64490430 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -17364 = 19*p - 16908 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0 + 4. Suppose -s*l + 48 = -l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3887556 and 0.5?\nAnswer: 1943778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = -6 + 50. Let o be 26\/d + 10\/(-55). What is the nearest to o in 3\/4, 0, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 31 * -0.092\nAnswer: -2.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 480 minutes after 5:09 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -17 + 20 + (-2 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 3*s = -4*l + 16, -5*l - 2 = 3*s. What is the lowest common multiple of 3\/(-6)*-4 - -9 and (-14)\/(-1)*1\/l?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -3*u. Let n(d) = -755761*d**2. Give n(a(w)).\nAnswer: -6801849*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d**2 + 10*d - 6. Give b(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the third derivative of -37*a**8\/56 + a**7\/105 - a**5\/6 - 89*a**4\/3 - a**3\/6 + 4366*a**2. Find the second derivative of p(m) wrt m.\nAnswer: -4440*m**3 + 24*m**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = x - 335, -5*x = -5*a + 984 - 2539. Suppose -101 = 2*s - x. Let o = s + 111. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4725, 4721, 4715, 4707?\nAnswer: 4697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2259289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -114.2 - -325.3. Let d = y - 206. What is d rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 373 + 1490468 = 37*i. What are the prime factors of i?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2053696000 to the nearest 1000000.\nAnswer: 2054000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/14 + (-204)\/(-84). Suppose -4*q - 8 = 0, -5*q + 3 = m*u + 1. Put u, 1, -4 in ascending order.\nAnswer: -4, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000684052298 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9044166\/55 + 164430. Let j = -169\/385 - 26\/35. Let v = g - j. Find the common denominator of v and 75\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -1702, -5396, -11160, -18994?\n\"Answer: -1035*o**2 - 589*o - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 + 4)*(-4 + 0*a + a - 1)*(2 + 2 - 6).\nAnswer: -2*a + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 65497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -11101010101100001 (base 2) to base 5.\nAnswer: -12321121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 689 minutes after 8:05 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (32\/(-120))\/((-1960)\/1764)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/(-6)*27\/6. Let f(m) = -2*m**3 + 2*m**2 - 8*m + 3. Let o(a) = a**3 + a**2. Let u be 2\/(-1) - (-10 - -11). Let b(h) = u*o(h) - f(h). Calculate b(l).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.27371 times 1\nAnswer: -0.27371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/720 and (2\/21)\/((-2)\/(-1946)*-12).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 + 5*y - 10. Let m be h(-8). Let r = m - 16. Let v be (4 + r)*6\/12. Solve -a + 1 = -q, 5*q - 3 = 2*a + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 44, 50, 56?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2296 - 2296. Solve d = 9*g + 17 + 28 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*d - 39556 + 39556.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = 34209 - 34208. Sort f, 3, 57, -1, -8.\nAnswer: -8, -1, f, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = v + 16 - 40, -3*c = -3*v - 3. Suppose 4*z = -z, -c*z - 134 = -2*i. List the prime factors of i.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = r**2 - 15*r - 34. Let b be f(17). Suppose 2 = 2*m + 4*p, b*p = -4*m - 5*p + 4. Let a = 27 + -28. Put a, -2, m in increasing order.\nAnswer: -2, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:59 AM and 5:49 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 18 (b) 1\/8 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 267*h + 5621. Let b be s(-21). Solve 11 = -b*u - 73 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*u**2 - 41*u**2 + 62*u**2.\nAnswer: -11*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**2 - 3*i**2 - 2*i**2)*(-66 - 52 + 33)*(-2*i**2 - 2*i**2 + i**2).\nAnswer: -1275*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) 2\/13 (b) -2 (c) 2\/15 (d) 50.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 2.343703 to 0 decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6915539, 13831077, 20746615, 27662153, 34577691, 41493229?\nAnswer: 48408767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -93*(-11 + -7) + -10?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -711130, -1422383, -2133636?\nAnswer: -2844889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -58*h*p**3 + 8*h*y + 10*p**3*y + p**3 - p wrt y?\nAnswer: 8*h + 10*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-16)\/(-3) + 8\/(-24). Solve 14 + 6 = -h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = s. Let u(t) = 152*t**2 - 10. Let m(l) = -229*l**2 + 16. Let c(i) = -5*m(i) - 8*u(i). Calculate a(c(z)).\nAnswer: -71*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be 13\/52*-2*(1 + -3). Solve 0 = 3*a - a - 5*y + 11, -s = a + 2*y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r + 9. Let n(u) = -2*u + 19. Let d = -1690 + 1685. Give d*c(x) + 2*n(x).\nAnswer: x - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 4:26 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p - 7. Let k = -1 + 6. Let n be u(k). Put 5, 1, n in descending order.\nAnswer: 5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 17*x**3 - 11*x - 3. Suppose 0 = 2*m + f + 18, 0*m - 4*f = 2*m + 6. Let n(s) = -6*s**3 + 4*s + 1. Give m*n(j) - 4*r(j).\nAnswer: -2*j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + 5. Let x = -35 + 31. Let z be (-1)\/(2 - (0 - 0))*x. Solve 0 = z*p + 4*v - 4 - 0, 3*p = v + i for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1306 or 1220?\nAnswer: 1306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -4*v**2 - 137*v + 102. What is i(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.2684 - 0.0684. What is the closest to 3\/13 in -0.4, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in x**3 - 232*x**2 + 80*x**2 - 267*x**2.\nAnswer: x**3 - 419*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w**2 + w + 6. Let d(c) = -c**2 - c - 5. What is 4*d(o) + 3*u(o)?\nAnswer: 2*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 1, 4, 6 in descending order.\nAnswer: 6, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -205*c + 185087 = -68*c. Is c a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w - 3*w - 2*w**3)*(-2*w + 2*w - w) + w - w + w**4.\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.0383 - -0.012. Let k = -0.0814 + u. What is k rounded to 3 dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1793 - -1793.1. Let c(d) = d - 11. Let w(o) = -2*o + 34. Let a(k) = 11*c(k) + 4*w(k). Let z be a(-6). What is the closest to y in 0.2, 4, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*x**3\/3 - 30*x**2 + 1072*x\/3 - 1120.\nAnswer: 2*(x - 28)*(x - 12)*(x - 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**3 + 5*y**2 + 3*y - 10. Let o = -36 + 41. What is the remainder when 14 is divided by h(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 33901839, 33901834, 33901819, 33901788, 33901735, 33901654, 33901539, 33901384?\n\"Answer: -m**3 + m**2 - m + 33901840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*q - 0*q + 6. Let c = 6 + -2. Suppose 3*k + 12 = -z + c, 2*z = -q*k - 8. Let r(l) = -3. Let v(p) = -p. Give z*v(u) + r(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of 31*w**5\/60 - 2*w**4\/3 - w**3 - 11*w**2 - 4*w. List the prime factors of t(-3).\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/9*108648\/(-4351956)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -30 - -22. Let t be -2 + 9\/((-36)\/d). Suppose 6*u + u - 308 = t. 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 -839101.47 rounded to the nearest ten thousand?\nAnswer: -840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 238\/19 + -2569\/152. Calculate the common denominator of c and ((-2)\/(-40))\/((-12)\/(-1455)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11398*m + 4 - 3 - 1 + 11402*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 16) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**3 - 61*q**2 + 204*q + 1723. Give r(57).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**2 - 1. Let u be k(-4). What is the greatest common divisor of u and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27024817 or 27024818?\nAnswer: 27024817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 153571965?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -518, 1, 3, -2, -1, 2 in ascending order.\nAnswer: -518, -2, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 50 = -3*h, 3*i - 31*h + 289 = -50 + 23 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4b + 849b0b?\nAnswer: 849a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 1145\nAnswer: 2\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 66 (base 16) to base 4\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 77 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1900) - (sqrt(1900) + (-5*1*sqrt(1900) + sqrt(1900))**2)) + sqrt(1900))*4 + (2*sqrt(1900) + 1)*4.\nAnswer: -121596 + 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/p**(-11)*p**(-10))\/(p**(1\/14)*p*p\/p**7*p) assuming p is positive.\nAnswer: p**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 148*k - 253*k + 69*k + 38*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be 9\/3 + (-2)\/(-2). Let d = 1 - r. Let u(w) = -4*w - 4. Is 8 a factor of u(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2 + 6*l + 1794. What are the prime factors of a(0)?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 7*d - 15. Let t be u(5). Calculate the greatest common divisor of 12 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -52?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 715 = -7841. Calculate the remainder when (-5)\/(-15) - p\/12*-2 is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-4)\/((-8)\/37))\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-26)\/(-39)*39\/2. What is the second derivative of 5*b**2 + 23*b - 9*b + x*b**2 wrt b?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3313032210 - -11?\nAnswer: 3313032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 17 or 1.2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 129 divided by -816\nAnswer: -43\/272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -62 + 30 - -38 - 11 - (56 - (-1 + -1))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000518118 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 312\/709 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 5*c**2 - 8. Let j be d(5). Let l be (-4)\/j - (2 - 55\/2). Let g = 41 - l. Which is smaller: 16 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of b**4\/4 - 7*b**3\/3 + 7*b**2\/2 + 3*b + 41. Determine a(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 2. Let a = 0.2 - 0.5. Sort n, a, 1\/7 in descending order.\nAnswer: 1\/7, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**2 - 5 + 2*z**2 + 8 - 3*z. Let r(i) = -2*i - 8. Let u be r(-5). Determine f(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the third derivative of -2*l**7\/105 - l**6\/30 + l**5\/5 + l**4\/6 - 4*l**3\/3 + 23*l**2. Factor h(b).\nAnswer: -4*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 2997058, 2997054, 2997050?\n\"Answer: -4*l + 2997062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -97386 * 0.4\nAnswer: -38954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14 + 17. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 + 17*s**2 + 53*s - 19*s - 33*s)*(3*s**2 + 3 - 3).\nAnswer: 51*s**4 + 3*s**3 + 27*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -4*q**2\/7 + 1156*q = 0. What is q?\nAnswer: 0, 2023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*b + 74 + 108 + 259 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 4*l - 73. Let u be b(22). Suppose -u*o + 10 + 20 = 0. Solve 0 = -g - 4, 0 = 2*m - o*g - 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -26 + 28. Suppose -3*f + 8*f - 2*b - 403 = 0, -2*f + w*b + 166 = 0. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = -2 - 19. Suppose -l*r = -101 + 31. Is (-6749)\/(-85) + (-4)\/r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 5 times -527\nAnswer: -2635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1044755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (40*q**3 + q**5 - 279*q + 279*q)*(-1 - 6 + 8).\nAnswer: q**5 + 40*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -3*t + 8. Let v be q(-12). Let y = v + -44. Solve -4*w = -y*x - 2*x + 26, -4*w + 5*x - 41 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 2*d**2 + 342*d - 6424. Calculate i(17).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 1.1098914 to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -7879, -15696, -23459, -31168, -38823?\n\"Answer: 27*y**2 - 7898*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -78, -99, -134, -189, -270, -383, -534, -729?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -41 + 43.3. Let n = i + -2.2948. Round n to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -27) + (-1472)\/56?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -65 - -1?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 17 = f, -f + 11 = -3*t - 7. Suppose r + 2*z = 21, -15 = -4*r + 4*z + f. Suppose -8*n - 15 = -r*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7 not equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -2.0046 + 0.0046. Sort c, -0.1, -28, 1 in increasing order.\nAnswer: -28, c, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2 + 10*j - 6. Suppose u = -2*u + 18. Let v(b) = -b**3 + 5*b**2 + 6*b + 4. Calculate the lowest common multiple of q(8) and v(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from {u: 1, y: 2, d: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2111220 (base 3) to base 6\nAnswer: 12253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (y**3 - 2*y**3 + 2*y**3)*(2 - 2 - 1)*(-4 + 1 + 0)*(1 + 8 + 1) + y**3 - 2*y + 2*y.\nAnswer: 31*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 5 = 4*a - 2*y, -y = -2*a + 15. What is the remainder when 18 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:05 PM and 5:49 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 59 + -57. Let f be (-96)\/(-36) - x\/(-6). Solve -i - m = 3, -m - 4 = -i - f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 90 - 45. Let y be (-18)\/k*(0 + -10). Suppose j + 10 = y*d, 3*j = -3*d - 0*d + 15. Solve -j*l - 3*l - 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u + 4*k - 40 = 0, -5*k + 20 = u - 0*k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*o - 48*o + 190 = -505. Solve o*r = -67 + 97 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3130, 17, -163 in increasing order.\nAnswer: -3130, -163, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**4\/11 - 108*i**3\/11 - 336*i**2\/11 - 340*i\/11 - 114\/11.\nAnswer: 2*(i - 57)*(i + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.1, -0.5, -30.92?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2 = 20. Let c(m) = -m**3 + 15*m**2 - 18*m - 90. Let v be c(13). Which is greater: i or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 38394 and -0.1.\nAnswer: 38393.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3\/7 (c) -1\/233 (d) 0.2 (e) 5.229 (f) -0.2 (g) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:45 PM and 6:08 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 3*r**2 + 4*r + 4. Let g(t) be the third derivative of 1\/6*t**3 + 62*t**2 + 2*t + 0. Determine -4*g(q) + u(q).\nAnswer: 3*q**2 + 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10 - 1. Let j(z) = 20*z**2 - 7*z + 14. Let f(n) = 7*n**2 - 2*n + 5. Let y(m) = -17*f(m) + 6*j(m). What is the units digit of y(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*p = -3*p + 8. Is (-31*1)\/1*(1 + p) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 0.2 (b) 0.1 (c) -4\/3 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a*a**(4\/3))\/(a\/a**6)*(a**2)**(-1\/26))**22)**(-44) assuming a is positive.\nAnswer: a**(-273944\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -26*k*m**4 + 164*k*m + k - 9*m**4 wrt m?\nAnswer: -312*k*m**2 - 108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.11 - 19.11. Let m = i - -11. Let v = m - -11.2. What is v rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z = b - 21, 254 = b - 4*b + 56*z - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*g + 5*g - 35. Which is the second smallest value? (a) g (b) 1\/6 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4 and 102.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2021.779363 from 3.6.\nAnswer: 2025.379363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 14\/3 - 2\/3. Let z be -7 + (-5 - (-31 + 5)). Suppose -w - 3*j = u*w - 9, 2*w = 4*j + z. Solve -g = 3*o - 13, 9 = -w*g + 5*o - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the first derivative of -3*z**2 + 2009. Let c(x) = -40*x**2 + 3. Calculate l(c(s)).\nAnswer: 240*s**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 - 1\/2*m + 1\/2*m**2.\nAnswer: m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -26 (base 13) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -6, 3, 46, 1 in descending order.\nAnswer: 46, 3, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -992314 = -4*k - i, -31*k - 3*i + 248062 = -30*k. Round k to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-368)\/(-2392))\/(55\/(-12870))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 346214793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 1308*g. Let a(v) = 6*v. Determine h(a(c)).\nAnswer: 7848*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (15 - (15 + -9))) + -5 + -1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 871 is divided by 427?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 1526 > -237929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a microsecond in nanoseconds?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3.5 - -0.5. Let o = -2 - -2.4. Let i = -123 + 123.2. Put o, t, i in decreasing order.\nAnswer: o, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/3622 - 73346\/1811. What is the common denominator of -83\/22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1077*w**3 - 5277*w + 15841*w - 5282*w + 884*w**3 - 5282*w.\nAnswer: 1961*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 0*w = 5*q + 85, -q = 5*w + 44. Which is bigger: -29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 7*(180\/42 + -1). Solve 2*g + 2*f - 5*f + c = 0, -2*f - 2 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*n**3 - 4*n**3 + 4*n**3 + (-3*n**2 + 0*n**2 + 2*n**2)*(5 - 2*n - 5) - n**3 - n + n + (0*n**2 - n**2 + 2*n**2)*(0*n + 0*n - n).\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5517 - 5512. Solve 4*c - 8*c + 17 = p*a, -4*c - 23 = -3*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -j**3 + 15*j**2 + 4*j + 21. Calculate the remainder when d(15) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 72999391\/6 at least as big as 12166564?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 10 = m. Suppose -m*f + 64 = -13*f. What is the common denominator of 32\/11 and (-6)\/f*(270\/(-21))\/3?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0808314122 rounded to five dps?\nAnswer: -0.08083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*x + 18 = -105*x, 4*y - 5*x = 38 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -204527+-6369.07\nAnswer: -210896.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -2*z**2 + 5*z + 34. Calculate d(9).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 119\/273470 and 1\/11567781?\nAnswer: 115677810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be -1 + (-10)\/(-14)*7. Solve 12 = -3*h, n*h + h + 36 = -4*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (108\/(-4))\/(-3) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*z - 2*z**2 + 3*z)*(z**2 - 6*z**2 + 3*z**2) + (2*z - z - 3*z)*(-z + 2345*z**3 - 2347*z**3 - 17*z) to g*z**2 + d + i*z**4 + h*z + v*z**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5 * 13536.74.\nAnswer: -6768.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7821633 and 2967?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1006054 (base 12) to base 13\nAnswer: -80bb37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2339202*s - 8764861.\nAnswer: -2339202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -4 + 5. Suppose -5*w - 5*q + 15 = 0, -4*w = q - 4 - 2. Let z(r) = -r**2 + 1. Let y be z(w). Which is the nearest to l? (a) y (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2442331\/240 + 20353\/2. What is the common denominator of p and -107\/240?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 279934.3t?\nAnswer: 279934300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27218 + 34338. List the prime factors of q.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1651617 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27784400 divided by -28.\nAnswer: -992300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 50, -6, -4, 2 in descending order.\nAnswer: 50, 2, 0, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 2*z**2 - 532*z - 17830. Determine i(296).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (24\/(-5))\/((-1590)\/1325)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -473*p**4 + 6*p**3 + 9*p - 102. Let w(n) = 947*n**4 - 10*n**3 - 15*n + 203. Let l(r) = -5*q(r) - 3*w(r). What is the first derivative of l(s) wrt s?\nAnswer: -1904*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7043*f**3*g**4 + 2*f**3*g**3 + 2*f**3*g**2 + 693121*f**3 - 2*f*g**2 wrt g.\nAnswer: -169032*f**3*g + 12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3836792273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p = 2*p. Suppose -4 + p = -n. Let i be -1 - -28 - 7\/(-7). Calculate the highest common factor of n and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 156 minutes after 10:44 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118919 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.11574 and 1442561359?\nAnswer: 1442561358.88426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4\/7? (a) -2\/13 (b) 396.2 (c) 4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -25211 (base 7) in base 4?\nAnswer: -1213133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be 476\/10 + 2\/5. Suppose t = 2*t - z. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 9 = -14. Let o(u) be the second derivative of -132*u**3 - u**2\/2 + u. Is o(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -3*48\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t - 1 = -61. Suppose -3*z + t = z. Let k(p) = -3*p**3 - 86*p**2 - 498*p - 21. Let i be k(-8). Put 0, -1, i, z in descending order.\nAnswer: z, 0, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2089*f - 2082*f + 4167*f. Let w(k) = 17*k. What is l(w(m))?\nAnswer: -68*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-62)\/93)\/(((-5)\/55)\/((-36)\/(-33))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 6 - (1 - 0) - (16 + (12 - 18))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 42 + -38. Let k(q) = -6*q + 5. Let u be k(-4). Suppose -m*d = -163 - u. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/12)\/((-14)\/(18088\/(-19)))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the first derivative of -2*l**6\/9 - 8*l**5\/5 - 13*l**4\/3 - 16*l**3\/3 - 8*l**2\/3 + 14. Find g such that a(g) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 601181.1 centuries?\nAnswer: 721417320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {f: 1, b: 1, x: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10138 and 1797577?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 279 minutes before 2:23 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -11 divided by 257186\nAnswer: -11\/257186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -13, -4, 23, 74, 155, 272, 431?\n\"Answer: x**3 + 3*x**2 - 7*x - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t - 3 + 3)*(-3*t - t + 5*t) + ((-6 + 5 + 2)*(-4*t + t + 6*t) + 2*t - 1 + 1 + 4*t + t - 2*t)*(t - 2*t + 0*t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 177, 272, 367, 462, 557?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1, -3, 20 in ascending order.\nAnswer: -3, -1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 11*f*r**3 + 14247*f*r**2 - 3*f*r + 12*r**3 + 18*r + 143421 wrt r.\nAnswer: 66*f*r + 28494*f + 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4661752642 to the nearest integer?\nAnswer: 1671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 442*g**3 - 99 + 99 - 189*g**3 - 224*g**3.\nAnswer: 29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 34446.\nAnswer: 2, 3, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -13 or 2887?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = 267 - 263. Solve -5*d - v*l = 37, 4*l - 7*l - 34 = 5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0481095 rounded to 3 dps?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 13230*g = 13357*g - 4572 for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 8 + -5 + (-125 - -5) + 2 + (20 - 32)\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 500.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*j**2 - 3*j**2 + 2*j**2)*(-2*j**2 - j**3 + 2*j**2) + j**5 - 3*j**5 - 4*j**5.\nAnswer: -9*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7.354 + 0.354. Let m = -8 - -8. Which is the closest to 0? (a) m (b) 0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 314301?\nAnswer: 3, 13, 8059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 + -31. Let u = w + 21. Suppose u*v = 8*v + 680. Round v to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**2 + 148*b + 134. What is r(-74)?\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1957*h**2 + 653*h**2 - 3314*h**2 - 7*h - 1148*h**2 + 5*h to the form n*h + a*h**2 + v and give a.\nAnswer: -5766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 7 + (6\/(-3) - 0). Let i(q) = -2*q + 2*q + 0*q + k*q. Give i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 250099 divided by -3.\nAnswer: -250099\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the first derivative of 12 + 11\/4*l**4 + 4*l**2 + 0*l + 0*l**3. Find the second derivative of q(j) wrt j.\nAnswer: 66*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -9*2\/3*-15. Suppose 5*v + u = 410. Suppose v = 5*k + 19. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 912 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) -0.1 (b) 0.1 (c) -93 (d) 4 (e) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (52 - ((1 - 1) + -2)) + (-135 - (-44 + -89))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 13? (a) -5 (b) 920 (c) 2 (d) -0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1463040773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g - 1. Let t(s) = -17. Let y(w) = -3*k(w) - t(w). Let h = -91881 + 91877. Calculate y(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5*s**2 + 14 + 3*s - 3*s**2 + s + 7*s**2. Let c be m(6). Suppose -380 = -c*h + 42. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -2 (b) -2\/11 (c) -4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -14848854, -14848875, -14848896, -14848917, -14848938, -14848959?\n\"Answer: -21*p - 14848833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -3, -2, 7, 24, 49?\n\"Answer: 4*u**2 - 11*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 + 1)\/((-710)\/30 + 22). Let t = 1 + -6. Which is the closest to g? (a) t (b) 4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -29, 4, 5 in increasing order.\nAnswer: -29, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39611 - -4790. What are the prime factors of n?\nAnswer: 7, 6343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 90 and 1691352?\nAnswer: 8456760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 36 minutes before 8:30 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*z + 14*z + 21*z - 4*z + 2*z.\nAnswer: 29*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3 + 3624*x**2 + 3213405*x - 127397318.\nAnswer: (x - 38)*(x + 1831)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -110 + 95 = 4*p - 6*t + 4*t - 5*t, -4 = -7*t + 3*t for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1387*f**4*r**2 + 4*f**4 + 2*f**3*r**3 - 9*f**2*r**3 + f**2*r**2 + 592*f**2*r wrt f.\nAnswer: -33288*f*r**2 + 96*f + 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = 747 + -524. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1\/93)\/((-3)\/(-2631)). Let a = 3\/31 - t. Find the common denominator of a and 240\/(-50)*78\/(-208).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(25)\/((sqrt(60) + sqrt(240)\/sqrt(4) - sqrt(60))\/sqrt(12)) - (3 + sqrt(180)*-1)**2.\nAnswer: -189 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -46152 divided by 15384?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*g**2 + 2*g**4 - 2*g**2 + 8 - 8 + 3*g**4 + (-3*g**2 + 2*g**4 + 3*g**2)*(4 - 2 - 1) + g**4 + 0*g**4 - 2*g**4.\nAnswer: 6*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 - -179. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - m = -2*m - 49, -2*m - 2 = 0. What is the derivative of 6 - k + 9 - 2*u**3 wrt u?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*g = 4*g - 380. List the prime factors of (-10 - g)*(1 - -41).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and -0.1729.\nAnswer: 0.8645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 1432*i + 27997. Give b(-20).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 655 + -336. Is t a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -3 from -159966389540120.\nAnswer: -159966389540117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7455)\/(-280))\/(21\/35*(-25)\/(-20))*-2.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4) + sqrt(40)\/(sqrt(60)\/sqrt(6)) - (sqrt(400)*-3 + sqrt(400)))\/(((1*sqrt(96) - sqrt(96))*6 - sqrt(96))\/sqrt(12)).\nAnswer: -11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00003839 to 5 decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -184 - 1032 = -2*m. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*c**6 - 6*c**6 - 3*c**6 + 8*c**2 + 0*c**2 wrt c.\nAnswer: -840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/2)\/(158\/(-79)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 93127 is divided by 411?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand y**4 + 10*y**3 - 10*y**3 + (3*y**3 + 5*y**2 - 5*y**2)*(y - 3*y + 3*y).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.73575 less than -183?\nAnswer: -183.73575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/a**(1\/5))\/a)\/a)\/a**(-2\/3) assuming a is positive.\nAnswer: a**(-8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, g: 2, v: 1, y: 3, x: 3, s: 7}. Give prob of sequence xyg.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -34294337.1 to the nearest ten thousand.\nAnswer: -34290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 - 1943174*r**2 + 1943173*r**2 + 4.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 4 = 0, 4*d + 7*v = 2*v + 44. Let q(j) = -2*j + 25. Let s(n) = 2*n - 50. Let o(r) = -5*q(r) - 2*s(r). Does 2 divide o(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*i + 2*i + 20. Suppose 6*l = 5*l + 5. Suppose b + l = m - 2*m, -b = -5*m - 1. Put 2, i, m in ascending order.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 123512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**3 + 697482*p**2 + 40530328515*p - 1135396090164.\nAnswer: 3*(p - 28)*(p + 116261)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(-4))\/(((-153)\/(-34))\/(7866\/23)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q**2. Let v(z) = z**2 + 4*z + 5. Let f be v(-3). Let d(c) = -46 - 6*c**f + 22 + 24. Give g(d(r)).\nAnswer: -108*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, p: 1, c: 12, o: 2, s: 2}. What is prob of picking 1 p and 1 c?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 0 = -24. Let q be 10\/12 + m\/4. Let w = -0.31 - -0.81. Which is the biggest value? (a) 4 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595806.6 decades in millennia?\nAnswer: 5958.066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -4*h - 4. Let n(f) = f**2 + 3*f + 3. Calculate 3*m(a) + 4*n(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 91, 85, 69, 37, -17, -99?\nAnswer: -215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 897 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 3 - 4)*(-4 + 3 - 2)*(4*p + p - 2*p).\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 45700 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1.4 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 9 + -13 + 5\/(5\/2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/17 (b) -3\/8 (c) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-13 - 11*o - 16*o + 28*o)*(-1 + 1 + 1).\nAnswer: o - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/15)\/(1\/5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 103*r**2 + r + 1. Let h be f(2). Suppose 0 = -o + 6*o - h. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 264 and 21?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 4111553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2 (b) -1\/2 (c) -0.05 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24*j + 5*j + 14440 = 0. What are the prime factors of j?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(15\/(-20)))\/(376\/423)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-476)\/(-10))\/((-3)\/(-30)). Suppose d = 5*d - p. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m**3 - 8*m**2 + 43*m + 17. Calculate d(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -6*u**2 + 3*u + 14. Let j(l) = -5*l**2 + 2*l + 13. Calculate -5*j(g) + 4*p(g).\nAnswer: g**2 + 2*g - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 + -19 + 18 + -7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:31 PM and 5:34 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4697 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is l in -3*l**3 - 612*l**2 - 31212*l = 0?\nAnswer: -102, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 k, 1 y, and 1 a when four letters picked without replacement from {i: 2, y: 1, k: 4, a: 1, d: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = m**3 + 38*m**2 + 40*m + 142. List the prime factors of j(-37).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 AM and 1:15 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 52 = -4*n, -3 = -3*y - n + 55. Let z = 20 - y. Factor -1\/2*l + 1\/2*l**3 + z - 1\/2*l**4 + 1\/2*l**2.\nAnswer: -l*(l - 1)**2*(l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the first derivative of -7*g**5\/20 + 19*g**4\/32 + 13*g**3\/12 - g**2 + 505. Solve h(p) = 0 for p.\nAnswer: -8\/7, 0, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = u**2 + 5*u + 5. Determine s(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 1156911 by -55091.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 3*j**2 + 5*j + 5. Let v(t) = -3*t**2 - 6*t - 7. Let z(x) = -4*i(x) - 3*v(x). Determine z(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = y**2 + 10*y + 8. Let n = 176 - 184. Calculate p(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4+44908100574453\nAnswer: 44908100574457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) be the third derivative of v**6\/120 - v**5\/12 + v**4\/6 - v**3\/2 + 119*v**2. Calculate r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -q + q + 2*q**2 + (-2*q - q + 4*q)*(-5*q + 18 - 18).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.7 + 0.2. Put -1\/7, g, 3 in decreasing order.\nAnswer: 3, -1\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -69. Let i(p) = -p - 1. Let h(t) = -t - 4. Let b(x) = -h(x) + 2*i(x). Let u be b(-7). What is the highest common factor of g and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 3*c**2 + 5*c + 7. Let l(q) = -2*q**2 + 4*q. Let r be l(3). Let p be d(r). Suppose -16 = 4*i, p = 3*a + 3*i - i. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a276 - -9?\nAnswer: a284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 660177 and 2727.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 5*l**2 - 11 - l + 7*l - 2 - 1. Let f be w(2). Suppose -i + f = -30. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*i**2 - 680*i - 135 = 0. What is i?\nAnswer: -27, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -b**3 - b + 39. Suppose -2*l - 8*l + 19*l = 0. What is q(l)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28.952 + 0.048. Let y = 710368665.00000052 - 710368636. Let s = y - x. What is s rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 2*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**4\/3 + 56*z**3\/3 - 764*z**2\/3 - 2240*z + 19200.\nAnswer: 4*(z - 8)**2*(z + 15)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 2*f - 421 = n, 3*f + n = 251. What is the highest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -1569486.6079 + 1569227. Let t = u + 260. Let z = t - 0.4. Round z to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:03 PM and 3:22 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 105*a + 81. Calculate b(0).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + -2 + -3 + 3. Let c be (-108)\/(-8) - (-3)\/w. Suppose 5*d - 5*r = -0*r, 0 = -3*r + c. Let s(t) = -t**3 + 4*t**2 - t. Calculate s(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -5904098, -5904097, -5904096, -5904095, -5904094?\n\"Answer: u - 5904099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12, 59, 102, 141, 176?\nAnswer: 207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 32 (base 15) to base 3\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*q = 7*q - 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*y**3 + 18*y - 18*y + ((2 + 2 - 6)*(-2*y + 0*y + y) + 3*y - y + y + 4 - 4 + y)*(-12*y**2 + 5*y**2 - 18*y**2) + (-2 + 2 + 2*y**2)*(-3*y + 3*y + y).\nAnswer: -151*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1 + (6 - (1 + (1 - -5)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.575291933 rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 45*b - 239. Calculate t(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from tztttz. What is prob of picking 1 t and 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r**2 + 6*r**2 + 16*r**2 + 28*r**2 - 11*r**2.\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 5*r - 169 + 41, 0 = 4*w - r - 212. Suppose 2*y - 25 = q + 20, 0 = -5*y + q + 108. Calculate the remainder when w is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -614842 less than or equal to -614841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -4*m + 5. Let x(c) = 3*c - 5. Let v(o) = 2*b(o) + 3*x(o). Let p be v(9). What is the third derivative of -4*a**4 - 15*a**p + 5*a**4 + 14*a**2 wrt a?\nAnswer: -336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, c: 1}. What is prob of picking 3 b?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2 + 0*o - 5216*o**3 + 0*o + 5235*o**3 with respect to o.\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7 * 0.027\nAnswer: -0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -22322 (b) 15 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 3*t**2\/5 - 78*t\/5 + 63 = 0.\nAnswer: 5, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*y**2 + 0*y**2 + 6*y**3 + 4*y**2 + 9*y**3 to v*y**2 + r*y + n*y**3 + x and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*i + 9937563 = 198*i + 2583527. List the prime factors of i.\nAnswer: 2, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 + 13. Let h = 10 - t. Suppose -x = h - 39. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/45 in -199, -677, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**2 + 1138*t + 3. Let o(g) = -16*g. What is o(b(s))?\nAnswer: -16*s**2 - 18208*s - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 114 and 475?\nAnswer: 2850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(2\/5))\/(i*(i**(-4)\/i*i)\/i)*(i*i**(2\/5)*i)\/(i**(-2)*i) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o - 4*o + 5*o)*(0*o**2 + 2*o**3 + 0*o**2) - 3*o**4 + o**4 + 3*o**4 + 0*o**4 - 3*o**4 - 6*o**4 + 15*o**4.\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6\/(-39) + 154\/156.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-3 + 0 + -2*sqrt(1200) + 4 + -2)**2*-2.\nAnswer: 160*sqrt(3) + 9602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the first derivative of 10*t**3 + 318. Let n(d) = -3*d**2. Calculate y(n(i)).\nAnswer: 270*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1660 a factor of 1775306920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2105426 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 1*sqrt(156)\/(sqrt(192) + sqrt(192) + -2*sqrt(192) + sqrt(192)).\nAnswer: -2 + sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**16*b**17*(b*(b\/(b**(-33)\/b*b))\/b)\/b*b\/(b\/b**8) assuming b is positive.\nAnswer: b**74","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 43313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + f + 1224. Is 19 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3983, -16199, -36559, -65063?\nAnswer: -101711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + (6 - (3 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u. Let h(r) = 7*r. Let c(y) = -h(y) + 6*t(y). Let g be c(-4). Suppose -g*o + 4*w + 39 = -w, 2*o - 23 = -w. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -136*r**2 + 12. Let z(x) = 270*x**2 - 26. Determine -11*v(g) - 6*z(g).\nAnswer: -124*g**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -309, 23, 2, -6, -4 in descending order.\nAnswer: 23, 2, -2, -4, -6, -309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12463? (a) 0.5 (b) 6\/5 (c) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) be the first derivative of -1\/6*y**4 + 1\/40*y**5 - 5*y + 11 - 1\/4*y**3 + 9\/2*y**2. Let t(b) be the first derivative of q(b). Factor t(f).\nAnswer: (f - 3)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -392179 + 196092 + 196087 - 9519*j**2.\nAnswer: -9519*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 - -2. Let n = 0 - q. Let k = -0.3 - 0.2. Which is the closest to -0.1? (a) k (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -111 - -111. Suppose v = 6*l - 9 - 3. Solve -3*i - l = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 2*o**3 + 12*o**2 - 2*o - 3. Let j be f(-6). Let d = 30 - j. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes after 5:04 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Add -1396 and 15400983894.\nAnswer: 15400982498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -4*h - 37. Give n(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 96 and 120?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 7, 0.1, -0.28, 1\/24?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -2*h**3 - 25*h**2 - 19*h - 26. Suppose 3*r + 13 = 79. Let p = r - 7. Calculate the remainder when v(-12) is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*f - 304 = 2*s, -s - 9*f + 5185 = 5001 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -7, 2, 24, -2\/23, 1\/365 in increasing order.\nAnswer: -7, -2, -2\/23, 1\/365, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 2, d: 2, q: 5, e: 3, b: 3}. Give prob of picking 1 d, 1 e, and 1 q.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1010011001 + -1010?\nAnswer: 1010001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 73 + -85. What is the hundreds digit of 8*(l*32\/(-12) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -197 - -122. Let l(x) = -2*x**2 + 14*x - 42. Let d be l(9). Let r = k - d. Solve r = -4*v + 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4.192 - 4.092. Which is the third biggest value? (a) d (b) 2 (c) 3960\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 2 - 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = -0*x + 1. Let r = x - -4. Suppose u = -3*d + 33, -r*u - 26 = -3*d - 5. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j + 110 + 78 = 5*g, 0 = -2*g - 2*j + 68. Suppose -3*u = -3*a - 12, 6*u - u + 3*a - g = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-30)\/6*(-234)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-8\/5)\/(n\/(n\/(n*n*n*n**5*n*n)))*(n*(n**(-3\/20)\/n*n)\/n*n*n)\/(n*n\/(n*n*n\/(n*n**(-3)\/n))*n) assuming n is positive.\nAnswer: n**(-27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/3*(-1770)\/(-1180)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eee when three letters picked without replacement from eooeeeeeeoee?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -503198*w - 325 + 146 + 503196*w.\nAnswer: -2*w - 179","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1574\/11485 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*l, 3*o - o - 3*l - 4 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 36 = -105. Let i = j - 138. Suppose -2*b + 22 = 5*k, -i*k + b + b + 26 = 0. Solve 0 = -3*v + k, 2*q - 2*v = -0*q + 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.8 - -0.3. Suppose -6*q = -5*q - 3. Let n = q + -4. Which is the biggest value? (a) n (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1129, 8534, 28649, 67828, 132425, 228794, 363289?\nAnswer: 542264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 4, t: 2, p: 7}. Give prob of sequence hhhp.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*y**4 - 6247754*y**3 + 6505740423336*y**2 - 2258129489454913760*y + 2258122983720738176.\nAnswer: 2*(y - 1041292)**3*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 2*y**2 - y - 1. Let o(w) = -39*w**2 + 9*w + 48. Let t(l) = 18*k(l) + o(l). Factor t(q).\nAnswer: -3*(q - 2)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 302 minutes before 9:41 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 71856 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1659605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -134461, -134641, -134825, -135013, -135205, -135401, -135601?\n\"Answer: -2*x**2 - 174*x - 134285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.061316621 to three decimal places.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1107 - 1206.4. Let l = 99 + y. Which is the closest to 1? (a) -3\/5 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19)\/(-3) - 186\/31.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -155 + 150. Which is the closest to -2\/3? (a) -3\/8 (b) -14\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -320124 (base 6) in base 8?\nAnswer: -62564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 12*j**2 - 15*j + 6. Let t be s(2). Solve -l = 11*l + t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6752475779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (2 - -1)\/((-48)\/(-128)) + 7579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-119)\/285 + (-2)\/(-6))\/(((-1008)\/(-60))\/(-42)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -3*t - 7. Suppose 2*i - 6*i + 116 = 0. Suppose y = -4*m + 11 - i, -4*m - 12 = 0. List the prime factors of g(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 6599378 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*5*(sqrt(88) - (sqrt(88) - (-1*sqrt(88) - sqrt(88))))*4)\/((sqrt(96) - -1*sqrt(96)*2)\/(sqrt(108)*-2 + sqrt(108))).\nAnswer: -40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**2 - 2*a + 2*a + 55*a**3 - 8*a**3.\nAnswer: 47*a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 + 50*t + 15. Let f be r(50). Suppose 12*h - f + 75 = 0. Let s(g) = -g - 3. Determine s(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 13078 - 119936\/9. Let f = j - -248. Which is the closest to f? (a) 5 (b) -5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*m + 53*m + 68 = 77*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 - x + 1. Let p be k(-2). Let t be (p - -2)*3\/33. Let a = -2 - -7. What is the biggest value in a, t, 2\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -62 + -188. Let j = 250.06 + r. Which is the nearest to 1\/2? (a) -2 (b) -0.3 (c) j (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2\/(-2))\/(105\/(-6)). Let g = -3.9 - -1.9. Let q = -0.5204 + 0.4204. Which is the third biggest value? (a) g (b) 1\/2 (c) y (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 810 + -293. Suppose -f - 4*x + 355 = 0, -5*f + 5*x + 1333 + t = 0. Suppose 3*o + l - 94 = 131, -5*o + f = -l. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) be the third derivative of v**5\/60 - v**4\/4 + v**3\/3 + 3*v**2. Let s be a(6). Solve -2*m - 8 + s = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5\/156 - -3131\/468. Let w be 3*9836\/96 - 1. Let b = 12109\/40 - w. Calculate the common denominator of u and b.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 6*x - 1. Suppose 2*q - 1740 = -4*c, 866 = 2*c - 5*q + 4*q. Let w = -423 + c. Let y(s) = s. What is w*y(h) - 2*p(h)?\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 - 2*g + 18. Let t be p(-5). Which is the biggest value? (a) t (b) 1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23431 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = 906720946 + -906531031.5951. Let s = n + -189996.40490055. Let a = 82 + s. What is a rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-71965)\/(-370))\/((-1)\/(-12200)). What is z rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25012317 is divided by 449?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 4060b4 (base 13) to base 7.\nAnswer: 15510544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -47 + (-13 - -6 - -1) + 11 + 6?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - -1b19?\nAnswer: 1b1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nsjnnsjinqaansajs. Give prob of picking 2 s and 2 n.\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by -42671\nAnswer: -4\/42671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = -2*i + 1. Suppose -25 = -4*d - i. Let q be (-2 - -4)*(d - 3). Solve -4*c - m + 22 = q, -2*c + 22 = -3*m for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 19*d - 15*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12 - -9. Let m be 4\/(-22) - (-18 - (-14013)\/792). Put r, 3\/4, 2\/3, m in ascending order.\nAnswer: r, m, 2\/3, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 8*n**5 - 13*n**3 - 5*n**2 - 5*n - 5. Let a(k) = 12*k**5 - 20*k**3 - 8*k**2 - 8*k - 8. Let s(d) = 5*a(d) - 8*o(d). Solve s(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11 + 188 + 74)*(3*u - 2*u + u).\nAnswer: 502*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the first derivative of 0*c + 3 + 0*c**4 - 1\/3*c**3 + 0*c**2 + 4\/5*c**5. Find the third derivative of f(s) wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -910617 - -2348478. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 8030 and -8086847.\nAnswer: -8078817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 510 and 143616.\nAnswer: 718080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000 (base 2) to base 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -849*z - 1373*z + 5052*z.\nAnswer: 2830*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1220110 (base 3) to base 14\nAnswer: -713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9 - 8) + ((-272)\/48)\/(1\/3) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = -7*v + 5. Suppose -2*n + v = 3. Which is the closest to n? (a) -1 (b) -0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 227 and 0.3468.\nAnswer: 78.7236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9663 is divided by 2378?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3613\/53019 + -2\/1233. Is 1.8 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(99) + 1*sqrt(99))\/sqrt(9))**2 + -3*(sqrt(539)*4)**2.\nAnswer: -26048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xlsxlxxxxsxxxxxlx. What is prob of sequence xsl?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:45 PM and 8:49 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 186819781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**1)**10*((w*w**(2\/5))\/w*w)**(20\/11) assuming w is positive.\nAnswer: w**(138\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 162051.7ng?\nAnswer: 0.1620517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -82 (b) -1.5 (c) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -4698, -6380, -9192, -13134?\n\"Answer: -565*b**2 + 13*b - 4146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify f\/(f\/(f\/f**(-10\/11)))*f*(f**(-14)*f)\/f*(f**(5\/2))**(-1\/7) assuming f is positive.\nAnswer: f**(-1763\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (t**2 + 0*t**2 + t**2)*(2*t - 171640 + 171578 - 128*t).\nAnswer: -252*t**3 - 124*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 2*l - n + 1 = 0, 4*l - 10 = -3*n for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -2 + 0 - 4*s + 0*s. Let k be d(-7). Suppose 5*w - k = -i, -i - 2*w + 22 = 2*w. 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: Three letters picked without replacement from {r: 1, w: 3, t: 2, e: 2, d: 4, c: 2}. What is prob of sequence crc?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 3*s - 5 = 0, 3 = -5*a - s + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 4*c**3 + 25*c**2 - 3*c**3 - 5*c**2 - 69 + 92 - 40*c + 0*c**3. List the prime factors of v(-19).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17407542 (base 9) in base 14?\nAnswer: 1238c46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.8*1273700.\nAnswer: 1018960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 4*j = 6, 3*w + 0*w + 20 = 5*j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 306 a factor of 26316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5.4 + 5. Let j = -0.261 + 0.221. Which is the smallest value? (a) j (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1756206*b**3*p**3 - b**3*p**2 + 36*b*p + 2*b + 695*p**2 wrt p.\nAnswer: -10537236*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 21535, 21692, 21951, 22306, 22751?\nAnswer: 23280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 12*l + 27 = 0. Suppose -l*y + 129 = -660. List the prime factors of y.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -54*l + 9*l**3 - 21*l**3 + 11*l**3 + (4*l**2 + l**2 - 4*l**2)*(-5*l + 4*l + 0*l) + 2*l**3 + 0*l**3 - 3*l**3 + 2*l**3 - 2*l + 2*l.\nAnswer: -l**3 - 54*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -4, 15, -235?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(832) - (-2*(sqrt(832) - (0 + sqrt(832)) - sqrt(832)) - sqrt(832)) - 5*(1*sqrt(832) - sqrt(832)))**2*-5*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -8f (base 16) in base 2?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -951 + 948. Sort -1007, 0, v.\nAnswer: -1007, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20 - -31. Let g(n) = 5*n - n**2 + 0*n - 3*n**3 - u*n**3 - 4*n + 1. Is g(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*j = -b + 3, -12 = -j - 966238*b + 966234*b for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -235*g + 214*g - 2*l - 88 = 0, 5*l + 6 = -5*g - 24 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/12 and -161\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxqq when four letters picked without replacement from xxuxjqjuxquxxxxuu.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 12919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10, 8684\/3, 5?\nAnswer: 8684\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -33283, -69330, -105377?\n\"Answer: -36047*y + 2764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - 10) + -20 + 6 + -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -16 - 32?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -23*a**2 - a**3 + 1 + 28*a - 15*a**2 - 30*a to j + b*a**3 + g*a**2 + u*a and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**4\/5 + 29174*d**3\/5 - 17502*d**2 + 87506*d\/5 - 29168\/5.\nAnswer: -2*(d - 14584)*(d - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**2*q**(-3\/8))\/(q**(-1)*q)**(-45) assuming q is positive.\nAnswer: q**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 2*a - 30. Suppose 5*p = 4*s + a*p - 45, -3*p = 4*s - 47. Calculate the highest common factor of 99 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 37 = 5*v, -28 = -4*v - 4*r - 72. Let n be -3*3\/v + -3. List the prime factors of (-1)\/n - (-273)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.2 and 0.592751?\nAnswer: 0.392751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10824 - -10836. Which is the fourth biggest value? (a) 1.8 (b) 0 (c) u (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6570 and 270684?\nAnswer: 1353420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51766 is divided by 713.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -32327, -64742, -97141, -129524, -161891, -194242, -226577?\n\"Answer: 8*q**2 - 32439*q + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*l**4 - 56*l**3 + 188*l**2 - 56*l.\nAnswer: -4*l*(l - 2)*(l + 7)*(3*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1950004.00131 + 1950039. Let v = 35.82 - 0.82. Let s = h - v. Round s to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (14\/(-6) - -5)\/((-2)\/(-3)). Suppose 112 = 3*o - 4*y + 2*y, 0 = -4*o - f*y + 156. What is the smallest common multiple of o and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33, -224, -729, -1704, -3305, -5688?\nAnswer: -9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 8467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15110*t + 29109*t - 13817*t.\nAnswer: 182*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 137 - 118. What is the remainder when o is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3 + (-31)\/(-10))*-6. Let s = -0.02 - -0.22. Put l, s, 3 in ascending order.\nAnswer: l, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 + 11*h**2 + 13. Let a be l(11). Let i = -1 - -3. Suppose 572 = 2*m + i*m. Calculate the greatest common divisor of m and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 88000 and 53075?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Let z = 495 + -381. What is the remainder when z is divided by 42?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = r + 5*u - 4, -8 = 4*r + 4*u. Suppose 3*x = 4 + 2. Suppose 0*k - 8 = x*k. Which is smaller: r or k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o + o + 4*o)*(28*o + 2 + 23441*o**3 - 27*o - 23622*o**3) as g*o**2 + a*o**3 + p + u*o + y*o**4 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + (-3)\/(-12)*16?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 5 + 9 + (-1392)\/100. Which is the closest to -0.2? (a) k (b) 0.5 (c) -4 (d) -0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the first derivative of 12\/5*h + 2\/5*h**2 + 123 - 1\/15*h**3. Let p(o) = 0. Calculate o.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-75)\/10*(-4)\/18?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 9 + -5. What is the highest common factor of d and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -z. Let y be m(3). Put -2, -1, -5, y in ascending order.\nAnswer: -5, y, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - h**2 + h - 1. Let d(c) = 2*c**4 + 6*c**3 + 6*c**2 - 6*c - 3. Let g(y) = d(y) + 6*m(y). Find the first derivative of g(j) wrt j.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/156 and -115\/1092?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 292 = -c + 291, -2*o + 11 = -5*c. Let k = 4 - 10. Let h = 18 + k. Calculate the greatest common factor of h and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2*z**2 + 0)*(-3 - 2 + 4) - 76*z**2 + 61*z**2 + 148*z**2 to the form r*z + i*z**2 + b and give i.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 30*u - 1590 + 900 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 23 + 211*n - 3 + 66 - 20 + 7 as l + k*n and give k.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 2034, 4069, 6104, 8139?\n\"Answer: 2035*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = h**2 - 9*h + 378. Let i be g(0). What is the greatest common factor of i and 1638?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 698 + ((-36)\/27 - 2\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**2 - 27*i + 77. Give u(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*c**2 + 2*c**2 - 4*c**2 + (-c**2 - 4 + 4)*(177 - 471 + 180).\nAnswer: 112*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1 smaller than 7\/261961416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by 1666774?\nAnswer: -3\/1666774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114)*-3 - sqrt(114) - sqrt(114))*-4 - sqrt(114))\/sqrt(6) + -3.\nAnswer: -3 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.288807 tonnes to grams.\nAnswer: 2288807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -101, -227, -377, -551, -749?\n\"Answer: -12*p**2 - 90*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1\/6, -5, 3\/259, -718?\nAnswer: 3\/259","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 49*j + 3268 - 5228 for j.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) be the first derivative of -w**2 + 6*w**2 - 6*w**2 + 3*w - 3. What is the first derivative of m(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 806282 (base 9) to base 12\nAnswer: 1b0062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 2*r**2 + 8*r - 6. Let m be p(-6). Let v = 17 - m. Let w = -4.06 - -2.06. Is v greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9411616 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (12\/15)\/(1\/(-5)). Put -5, -3, u in increasing order.\nAnswer: -5, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -88 + 72 = -4*s - 4*x, -2*x + 5 = 5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 150 - -340526?\nAnswer: 341006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out -296154 * 0.226.\nAnswer: -66930.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 0*d = -1. Suppose -p + d = -2. Let l(t) = 7*t - 2. Is l(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 9231.329cm?\nAnswer: 92313290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12 + 4 + 7*p + 1 + 7.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 3 = 4*q + 8, 3*o + 5*q = -17. Let a = -2 + o. Is a\/(2 + 2012\/(-1004)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-27)\/18*(-7)\/6*652 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 142 and 200435485?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = -100*b - 1522. Determine u(-15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -515 + 518. Suppose -y = 4 - m, 0 = 3*s - 3*y. Which is the smallest value? (a) 1\/3 (b) s (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 487*g**2 - 60*g - 12. Let c be m(6). What is the units digit of (2\/(-5))\/(16 - 274573\/c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -435 and -0.06496?\nAnswer: 28.2576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k = 6*k + 5*s - 20, 0 = 2*k + 2*s - 72. Solve -5*w - 3*p = -k, 3*p - 20 = -p for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-8*f + 12 - 12)*(-f + 2*f**3 - 8 + 7 - 6*f**3) in the form d*f**3 + x*f**4 + a*f**2 + w + i*f and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 3075\/4200 + (-1)\/(-8) - 142\/182\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4729 - -0.045674143.\nAnswer: 4729.045674143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:29 AM and 7:26 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:33 AM and 8:46 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 8\/21 (b) 9 (c) -1 (d) -1\/10 (e) -79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 8442 = 4*f, -7*j - f = -9*j + 5617. List the prime factors of j.\nAnswer: 2, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 492*q - 350*q = 90127 - 90269 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-one halves of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39.3 + -43. Let i = v - -0.7. Let r = 0.032 + -5.032. Which is the biggest value? (a) -1\/4 (b) r (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of -n**4\/24 + 5*n**2 - 8*n. Let t(a) = -a**3 + 3*a + 1. What is 4*m(c) + t(c)?\nAnswer: -c**3 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 2 + 7 = 0. Let r(p) = 2*p**3 - 2*p**2 + p - 4. Is r(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 174 a factor of 591931?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 4 = -4. Suppose 2*z - 112 = -a. Calculate the remainder when z is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3, 4, -12, -1 in decreasing order.\nAnswer: 4, 3, -1, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.101 + 0.201. Let o be 0\/((-1 + 4)\/(-3)). What is the second biggest value in o, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -286*n = -288*n + 16. Let z(h) = 159 - 305 + h**3 + 0*h**2 + n*h**2 + 157 - 8*h + 0*h**3. Give z(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 63635670.\nAnswer: 2, 3, 5, 7, 101009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*w - 3*g, -5 = -4*w + 2*g - 1. Suppose 5*b + w*b = 68677. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -8*u - 2. Suppose -14 = -3*k - 0*k - 5*s, 0 = -5*k + 3*s + 46. Suppose -2*p = k - 4. Determine o(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 8385*r + 8389*r + 5 = 0, -4*r + 9 = o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, d: 1, o: 1, z: 2}. Give prob of sequence do.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1\/(-3))\/((-2)\/12). Suppose 0 = -j*y + 24 + 224. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 129090339 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r + 2*r - 10*r**2 + 0*r**2.\nAnswer: -10*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 65158333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 = -q - 3*q. Let l be 1 + ((-20)\/q - 1). Let k = l + -7\/3. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 5*z + 9 + 13 + z**3 - 24 - 3*z**2. Let k be f(2). Let u(g) = 2*g - 3. What is u(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -4*q**2 + 6*q - 6. Let f(l) = -3*l**2 + 5*l - 5. Let x(b) = -6*f(b) + 5*p(b). Let h(w) = 3 - 3 + 3*w. Determine h(x(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10419*w**6 + 80130*w**2?\nAnswer: -1250280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 28\/(-12) + 2\/6. Let v(m) = -m - 2. Let b be v(n). Suppose p + 2*t - 13 = 0, 2*t + 1 + 7 = b. What is the remainder when 41 is divided by p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -17 + 3. Let l be (-2)\/(-9) - j\/18. Let i = -1 - l. Let u(f) = 6*f + 3. Give u(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -7424032 (base 8) to base 10\nAnswer: -1976346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*j + 4*j - 4*j + 2*j - 2*j - j - 2*j + j + 2*j - 2*j - 2 + 2 + (0*j - 5*j + 3*j)*(1 - 2 + 3) - j + 9*j + j)*(-6*j**4 + 3*j**4 + 0*j**4).\nAnswer: -27*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*m**2\/7 + 54324*m\/7 - 3030750.\nAnswer: 6*(m - 375)*(m + 9429)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the third derivative of s**6\/120 - s**5\/60 - s**4\/8 - s**3\/3 + s**2. What is the lowest common multiple of d(3) and 22\/2 - 0\/(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-25)\/20*(-46)\/(-805)*-7)\/(-27)\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72*v - 73*v - 7 = 0. Let b(k) = -4*k + 8 - 3 + k + 4. Let c(j) = 10*j - 28. Let x(t) = v*b(t) - 2*c(t). What is x(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 29*x**3 + 11*x**2 + 43*x - 777. Is o(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 30?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4 - 40314230?\nAnswer: -40314234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -32011, -32112, -32213, -32314, -32415?\n\"Answer: -101*u - 31910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*u + 17 = 26. Solve -m + u + 0 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the third derivative of 1\/2*g**4 + 3\/40*g**6 + 0*g**3 + 0 - 44*g**2 + 0*g + 0*g**5. Find the second derivative of s(r) wrt r.\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 - 17*g + 10. Let z(w) = -4*w**2 + 68*w - 40. Let x(n) = -9*d(n) - 2*z(n). What is x(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1205, 1, 0.1, -0.1.\nAnswer: -0.1, 0.1, 1, 1205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.692 + 113.792. Let v = k - 112. Put v, 11, 2 in decreasing order.\nAnswer: 11, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((4 - 1) + -15 - (-35 - -41)) + 3?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 8, r: 3}. What is prob of sequence jr?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 794*w**2 - 65*w + 50. Is g(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28079374859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 11:35 PM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 2*z - 7*z - 3*z + 0*z - 20*z - 2*z - z + 4 - 4 + (1 + 1 - 1)*(2*z - z - 2*z) in the form a + g*z and give g.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 20 = -6*c. Let q(h) = -h**3 + 10*h**2 - 12. Give q(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the second derivative of s**3\/6 - 6*s**2 + 19*s. Determine w(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 952*t - 2886*t + 546*t to the form h*t + x and give h.\nAnswer: -1388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 - 9*c - 4. Let d be o(9). Let f be 2 + 7*-1 + 0. Is d not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -4*v**3 + 5*v**2 + 9*v + 6. Calculate m(-3).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -2*d + 17. Let s be x(-12). Let v be 6\/(-39) + s\/13. Put -1, v, 4 in decreasing order.\nAnswer: 4, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2005261?\nAnswer: 2005261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29697078?\nAnswer: 2, 3, 113, 43801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*v**2 + 3*v**2 + 0*v**2 + (2*v - 5*v + 2*v)*(2*v + v - 2*v) - 2*v**2 + 3 - 3 - 1424*v**2 - 3*v + 3*v - 1780*v**2 - 3387*v**2.\nAnswer: -6595*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum -1055744 and 2.8206357.\nAnswer: -1055741.1793643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30 + 58 - (-45 + 104).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Do 1.3 and 116231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11010120220011002 + 12?\nAnswer: 11010120220011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = 2*l**3 + 57*l**2 + 284*l - 40. Give c(-23).\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 1010728\/355 = 2848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 + 166*n**2 + 248*n - 13113. Give y(-164).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 22281811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-282 + 282 + 54*z)*(0*z**3 + 2*z**3 + z**3).\nAnswer: 162*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -565.78 + 584782.\nAnswer: 584216.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2079.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 + 8*k**2 - 3*k - 6. What is the remainder when (-16 - -10) + 0 + 93 is divided by j(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8.6 - -0.0149?\nAnswer: -8.5851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*r**2 - 1356459 + 2*r**2 + r**3 + 1356314.\nAnswer: r**3 - 145","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 94723 times 232?\nAnswer: 21975736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -26633 + -14?\nAnswer: -26647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the second derivative of 2*z - z**2 - 1\/2*z**3 + 0. Let l be p(-3). Calculate the highest common divisor of 1 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -50106*w - 659*w**5 + 19 + 120 + 50104*w wrt w.\nAnswer: -13180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 9:46 PM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -749215*c*f**2 - 956767*f**2 wrt c?\nAnswer: -749215*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 - 6. Let q(o) = -3. Let d(z) = 3*k(z) - 6*q(z). Let m = 5 + -3. Let s(n) = -n + 2*n - m*n. Determine d(s(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 208699764 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -1. Let p = 1 - n. Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 0.4, 3, 510, -0.0658, 0 in descending order.\nAnswer: 510, 3, 0.4, 0, -0.0658, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -4481*u**2 + 4484*u**2 - 75*u + 198 + 37 + 107.\nAnswer: 3*(u - 19)*(u - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 t and 2 l when four letters picked without replacement from {g: 3, t: 6, s: 7, l: 3}?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 y when three letters picked without replacement from {t: 4, u: 2, y: 2, z: 2, o: 3, g: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11237 and 745467.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c - 1. Let g(w) = 7*w - 3. Let z(y) = -g(y) - 6*h(y). Let f be z(10). Put 0, 3\/4, f in decreasing order.\nAnswer: 3\/4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 416.6456 - 423.2. What is c rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y. Let m(o) be the second derivative of 946*o**3\/3 - 214*o. Give m(q(n)).\nAnswer: -3784*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1876 and 7571.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k*k*k*k\/(k*k**2\/k)*k)*k\/((k*(k*(k*k**(4\/5)*k)\/k)\/k)\/k))\/(k*k\/(k*((k**(-4\/5)*k)\/k)\/k)*k**(-1\/9)) assuming k is positive.\nAnswer: k**(-247\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 0*t - 2*t - 7 + 33. What is the remainder when p(-11) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4*p*y**2*z**2 + 20235*p*y**2*z + 7*p*z**3 - 24*p*z**2 + 7429573*y**2*z**3 - y**2*z wrt z.\nAnswer: 42*p + 44577438*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -9 (b) 0.93 (c) -0.27 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 448 minutes after 9:46 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 100*f - 16. Does 14 divide c(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 17*x - 40758. Let h(s) = -s. Determine h(q(v)).\nAnswer: -17*v + 40758","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -61, -127, -193, -259, -325?\n\"Answer: -66*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3 - -16. Let x = o - 14. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*p = 14*p + 6. Solve 4*b - 2*f - 19 = -7*f, 2*f = p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -176 - -189. Let d(w) = -3*w - 12*w**2 + 3*w + q*w**2. Let s(j) = 99*j. Calculate s(d(g)).\nAnswer: 99*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 199348 and 4952?\nAnswer: 246792824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*y = -7*y - 42. Suppose 2*x + 14 = 4*o, -o + 3*x + 2 = -4. Let b = y - o. What are the prime factors of b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) be the first derivative of 0*q**3 + 0*q**2 - 23\/5*q**5 + 9*q + 0*q**4 + 21. What is the derivative of x(n) wrt n?\nAnswer: -92*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -6.4. Let l be 1705\/(-210) + 3 + 4. Let y = l + 11\/14. Which is the nearest to -0.1? (a) 2\/13 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that 5*n**2 + 1615*n + 67130 = 0.\nAnswer: -274, -49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*-4*(sqrt(36)\/sqrt(3)*-1 + sqrt(12) + sqrt(12) - sqrt(12))\/(-1*sqrt(24)) + 4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -881, -880, -879, -878, -877?\n\"Answer: b - 882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -721, -1420, -2107, -2776, -3421, -4036, -4615?\nAnswer: -5152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -258, -2296, -6112, -11706?\nAnswer: -19078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 9140 - 2085 = -415*r for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34.3 - 27.3. Let p = 10 + -10. Which is the closest to 0? (a) q (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 7, -1, 83, -9 in descending order.\nAnswer: 83, 7, 1, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 87 and 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10 - 7 - l + 8 + 1.\nAnswer: -l + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*i**4 - 5672*i**2 - 42035*i wrt i.\nAnswer: 24*i**2 - 11344","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -9*y**2 - 826*y + 15520.\nAnswer: -(y - 16)*(9*y + 970)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5\/4 or -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - -1) + 6\/9 + 54\/81.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -1690588.\nAnswer: -5071764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = -464.72 + 464. Which is greater: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of -3*w**5\/20 - w**4\/12 + w. Suppose 2*p - 5*p + 6 = 0. Let f be (4*(-3)\/6)\/p. What is o(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3009150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23143 is divided by 526?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 7561017 a multiple of 1065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -31333 (base 4) to base 8.\nAnswer: -1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7259 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 210853.\nAnswer: 210853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = 5*b, -2*b = 2*t - 3*t - 11 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -226340 (base 7) to base 13.\nAnswer: -1566b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000692 rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19 - 19. Suppose 2*o + o - 47 = -2*c, v = -2*o - 5*c + 35. Calculate the remainder when 57 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, -0.2, 0.13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, h: 3, g: 4, b: 7, a: 1, z: 4}. What is prob of picking 1 g, 1 h, and 2 b?\nAnswer: 84\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1407 a factor of 97651428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-110)\/(-44)*(-16)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 68 divide 37196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 166259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 139 a factor of 3779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26087\/6140 + -2\/1535. Find the common denominator of -5\/8 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + 6*v**2 + 6*v + 10. Let h be k(-5). Suppose -n + 5*n + 71 = 5*t, 75 = h*t - 5*n. Let w(d) = 2*d - 6. What is the units digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7681 or -2757353\/359?\nAnswer: -2757353\/359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 447589959?\nAnswer: 3, 23, 6486811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x\/(x\/((x*x*x**(-2)*x*x)\/x)))\/x)**32*(x\/(((x*x\/(((x*x*x**(2\/5)\/x*x)\/x)\/x))\/x*x)\/x))**(1\/9))**(-3\/7) assuming x is positive.\nAnswer: x**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4 - (-48)\/9)*9. What is the highest common divisor of 8 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17\/3 + ((-84)\/7)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21459?\nAnswer: 3, 23, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 7*p - 4*v = -10632, -2*p - 2*v = -7086. What are the prime factors of p?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -404 - -410. Let i(a) = -a**2 + 12*a - 35. Let s be i(h). Solve 7 - s = -6*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -15, 13, 10\/1857, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 842611 is divided by 842573.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6328112*p**2 + 17*p + 67420?\nAnswer: -12656224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7181 + -7181.00005924. What is t rounded to six decimal places?\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 131 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 3 = 2*n - 0, 3*c = -9. Suppose -y - 4*y = n. Suppose -5*o + 3 = -17. Solve 0 = 5*k - o*d - 1 - 3, 3*k + 2*d + 2 = y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -3308, -3321, -3334, -3347, -3360?\n\"Answer: -13*n - 3295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -2212 (base 3) to base 12.\nAnswer: -65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 387*j**3 + 362*j**3 - 2*j**2 + 6*j - 807*j**3 as g*j**2 + f*j**3 + q + d*j and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k be 522\/(-30) + 1 - -17. What is the closest to 6 in k, 4\/31, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 23*i**3*w - 3*i**3*z + 2*i**3 - 168*i**2*w*z - 2*i**2*w wrt z.\nAnswer: -3*i**3 - 168*i**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -16237, -16247, -16261, -16279, -16301, -16327, -16357?\nAnswer: -16391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 PM and 4:28 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -5*w**3 - 21*w**2 + 58*w + 1036. Does 21 divide j(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 267010363?\nAnswer: 19, 14053177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 124909009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23.47 + 0.47. What is the smallest value in o, -1\/3, -1, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 4*s = 25, -3*s = -2*i - 2*i + 21. Let q = i + -6. Let a(r) = -36*r - 9. Let f be a(-1). What is the greatest common divisor of q and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = 2*i - 8, -5*i + 4*u - u = -28. Suppose -y + 16 = 4*n, n = 4*n - 9. Solve 0*p = -3*w + y*p + 25, -11 = -i*w - p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from xpznzxxzxzxzxpxnp.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 3*s, 2*s + 2*s = 4. Suppose f*i - 1 = -5*d - 30, 2*d - i = -5. Let y be (1 + -1*2)*d. Solve y - 1 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -184, -738, -1662, -2956?\n\"Answer: -185*r**2 + r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of -n**4\/4 - n**3 + n**2\/2 - n - 14. Let d be b(0). Put -4, d, 0.5, -3\/5 in ascending order.\nAnswer: -4, d, -3\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 128 - 62. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8063501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19 - 9 + p**2 - 10.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 246440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 5, q: 11}. What is prob of sequence qq?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 836 and 132?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 + 3*i - 3. Let w be y(-4). Suppose -u - w = 6. Let b = u + 10. What is the greatest common divisor of b and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(800)*1)\/(-5*2*sqrt(10)) + 1.\nAnswer: -2*sqrt(5)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor q**3\/5 - 1720794*q**2\/5 - 3441591*q\/5 - 1720796\/5.\nAnswer: (q - 1720796)*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1.6 in 0, 2\/177, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -9903 (c) 0.2 (d) -50 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18207884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -7*p**2 - 76*p + 13. Let v be u(-11). Find a, given that -3*a**4 + 9*a**4 - 7*a**2 + a**5 + 9*a**3 - 11*a**4 + v*a = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -k - 11*k - 140 - 8*k + 141 to the form n + b*k and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -74, -22, 116, 382, 818, 1466?\nAnswer: 2368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 342*v**3 - 2*v**2 - 5*v + 0*v - 16*v + 16*v**3 + 19*v in the form c*v**2 + r + n*v + q*v**3 and give q.\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 283937508?\nAnswer: 2, 3, 2629051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 67668 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 5477d (base 14) to base 3.\nAnswer: 101101120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 - 1 + 2*p)*(7 - 3 - 1).\nAnswer: 6*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 33, 2\/5, 0.06, 2, 5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -13200 + 13195. Let p = 0.6 - -0.4. What is the nearest to -0.1 in 12, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 11112?\nAnswer: 11102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-10)\/(-1)*(33\/22)\/3. Solve -2*s - 2 = 2*b - 6, -4*s = y*b - 10 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*z + 746 + 5864. List the prime factors of z.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(153)\/sqrt(9) + 4 + 5 - (3*sqrt(187)*-1)\/sqrt(11))*-5.\nAnswer: 270 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = 2*q**2 - 16*q - 9. Determine p(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 2, -3, 80 in decreasing order.\nAnswer: 80, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -13437, -13438, -13439, -13440, -13441?\n\"Answer: -f - 13436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/6*(-4 + 7). Let l(z) = -3*z**2 + 4*z**2 + 148 + q*z + 6*z - 142. Determine l(-9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 1055732947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -582.55 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -85584, -171212, -256840?\nAnswer: -342468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1.5 + -1.5. What is the third biggest value in -0.3, n, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -12*v**2 + 20 + 2*v**3 + 40*v + 3 - 43*v. Let u be h(6). Suppose -5*x + 6 = 11. Which is the third biggest value? (a) 18\/5 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 4 = -g - 0, -5*g + 14 = -3*z. Sort g, -2\/11, -2\/131.\nAnswer: -2\/11, -2\/131, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.4, 6, -0.022, 1\/82496 in increasing order.\nAnswer: -0.4, -0.022, 1\/82496, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32*n + 504 - 120 = 0. Calculate the least common multiple of n and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11 or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -25 + 21 = 12*f - 88 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -127, -28, -19826, -2, 2 in decreasing order.\nAnswer: 4, 2, -2, -28, -127, -19826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -4602 divided by 78?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 270726730?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.00127 and 1.82?\nAnswer: 0.0023114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 22613293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1122148311.50000492 - -1122148282. Let h = o - -29.5. Round h to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3910 + 3912. Let z = 0 + 0.3. What is the closest to 0 in z, o, -4\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 6 = -s. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 + -15. Let b(i) = -i**2 - 6*i - 6. Let z be b(v). Let r(t) = -2*t - 3. Is r(z) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 13*h + 3. Suppose 2*g = -2*g + 12. Let u(k) = -2*k + k - 5*k - 2 - g*k. Give -5*d(n) - 7*u(n).\nAnswer: -2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(285) - 1*(-2*sqrt(285) + sqrt(285)))\/(sqrt(80)*5))\/(sqrt(3)*-2*1 - (sqrt(108) + sqrt(3))*5).\nAnswer: -3 - sqrt(19)\/370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -798.416 + 798. Let p = -24.916 + 25. Let g = p - d. Which is the third smallest value? (a) 2 (b) g (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/2)\/(2\/(-2*6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -136*z = -744*z - 216*z + 8240 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -9*m**2 + m**2 + 1 + 7*m**2 - 5*m. Let v be h(-5). Is (v - (-4 - -2)) + 160 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29304392 to the power of 1\/2, to the nearest integer?\nAnswer: 5413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 152 = -4*k + 8. Let s be k\/18*5\/(-2). Suppose -4*w**2 - 2*w**3 - 4*w**2 + 2*w + s*w**2 + w**2 + 2 = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-19 + -2)*4\/(-6). Let b = 11 - 9. Let n = b - -19. Calculate the greatest common factor of j and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:25 AM and 2:49 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.12 - -13.50476?\nAnswer: 13.38476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 + 13*w**2 + 40*w + 1. What is n(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 30, 20, 10, 0, -10, -20?\n\"Answer: -10*u + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-27)\/x)**30*(x*x\/(x**34\/x))\/(x**(-23)\/x))**(21\/2) assuming x is positive.\nAnswer: x**(-17787\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 45971900 rounded to the nearest one hundred thousand?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-11)\/(-12) + 1\/(-1). Let g = 75748 - 75747.5. Which is the nearest to 1\/2? (a) -4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/6 and -6 + 6 + 89\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -21, -45, -3, 7, 5 in decreasing order.\nAnswer: 7, 5, -3, -4, -21, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/3*6\/4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 11 in -67, -2\/5, 3, -13\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 422 divide 35082684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 0 = 59 - 11 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 65893, 67996, 70099, 72202, 74305, 76408?\nAnswer: 78511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 1 + 1)*(-1 - 3 - 6)*(-115 - 12*g + 115).\nAnswer: -360*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b be -4*2\/16*-6 - -2. What is the third biggest value in b, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*f = -11*f + 735 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*-2*sqrt(88))\/(2*sqrt(200) - sqrt(200))*-1.\nAnswer: 4*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*o - 20 = -6*t, 2*t + 2162 = -5*o + 2172 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 3*q**3 + 1 + 34*q - 27*q - 7*q**2 - 5*q**3 - 6*q**3 - 3*q**2. Is l(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45*y - 41*y + 5*u - 29 = 0, 3*u - 15 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -i + 5. Suppose -4*q + 51 = i. Let y be 1 + 1 + (13 - q). Solve -5*v + 4*v + y*a + 12 = 0, v + 9 = -3*a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -61 + 34. Let i be 2\/(2\/(6\/s)). Which is the closest to 0.1? (a) -1 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -12109, -12140, -12173, -12208, -12245, -12284, -12325?\nAnswer: -12368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o + 2437 - 2419 = -4*y, y = 3*o + 13 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of -6*j**2 - 5*j + 7. Is l(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -m + 8. Let a be i(5). Let v be (-1)\/(0 + 1 + a). Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -16*f**2 + 5. Let r(y) = -3*y**2 + 1. Let x(j) = 2*a(j) - 11*r(j). Determine k, given that x(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*s - 268 = -64*s. Let l(o) = 4*o - o - 77 + s. Let p be l(4). Solve -2*g = 2*d + 2*d + 6, p*d - g = -1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 148, 602, 1358, 2416, 3776?\n\"Answer: 151*b**2 + b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66419365 and 16465.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23179 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5371566 (base 9) to base 10\nAnswer: 2881473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/33, 2, -1313, 3\/5, 0?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = -h + 635. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 85*p + 266. What are the prime factors of y(12)?\nAnswer: 2, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (6\/(-4))\/(9\/(-24)). Let l = o - -2. Solve 5*m - l - 9 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -600 + 604. Solve 9 = -o + i for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -8*j - 377*j**3 + 218*j**3 - 2*j + 239*j**3 + 186*j**3 as w + n*j**2 + c*j + o*j**3 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b**3\/9 + 2944*b**2\/9 + 980*b\/3 = 0. What is b?\nAnswer: -735, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 39695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-7)\/((-196)\/8) - 206\/(-14). Let x be (48\/z - 4)\/(4\/(-30)). Suppose -4*u = 5*o - 78, 5*u - x*o - 118 = -2*o. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 180 and 215401680?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-14)\/y)\/y)**46 assuming y is positive.\nAnswer: y**(-736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -195\/59 - -526\/177. What is the nearest to c in 0.11, 5, 3\/2?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 9*k*l**2*v + 3*k*l**2 - k*l*v**2 - 12*l**2 - 2*l*v**2 wrt v.\nAnswer: 9*k*l**2 - 2*k*l*v - 4*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 1565*q - 17206. Give d(11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -5, -1, -1769, 69, 3, 18 in descending order.\nAnswer: 69, 18, 3, 0, -1, -5, -1769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23634?\nAnswer: 2, 3, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 1 b when three letters picked without replacement from gbeygeggeygyy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w be 230\/(-28) - (-15)\/30. Put w, 0.2, 2 in ascending order.\nAnswer: w, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) be the second derivative of -403*t**3\/2 + 9*t**2 + 316*t. What is the tens digit of b(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 564 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -262, -256, -246, -232, -214, -192, -166?\n\"Answer: 2*a**2 - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 7, b: 3, l: 1, e: 1, y: 4}. What is prob of sequence ly?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lllslslllls. What is prob of picking 3 l and 1 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*sqrt(3)*-6 - (sqrt(12)\/sqrt(4) + 2 + sqrt(3)).\nAnswer: -2 + 22*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 5*v + 3 - 6*v**2 + 36*v**2 + 5*v.\nAnswer: 30*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 l, 1 q, and 1 x when four letters picked without replacement from bqlblblxlb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 53\/17 - 15\/5. Sort -1, -3, 8, n.\nAnswer: -3, -1, n, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 51423\/560 - 459\/5. Is 0 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.7130727 * 0.5.\nAnswer: -0.35653635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1570.3 - 1740. What is the third biggest value in z, -5, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3*y = 5, 3*p + y + 20 = 7*p. Suppose -4*a - 46 = -p*w, -w + 4*w = -6. Let b = -9 - a. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.07084737 (b) -2 (c) -1\/3 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + -18 - -10 - -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n - 1. Let u(l) = -35*l + 35. Let s(w) = -9*w + 9. Let h(i) = 15*s(i) - 4*u(i). What is 6*a(r) - h(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 11, e: 5}. Give prob of sequence eggg.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*s**5\/2 + 210771*s**4\/2 - 23125989*s**3\/2 - 39878679*s**2\/2 + 41878224*s - 15651630 = 0.\nAnswer: -3, 2\/3, 113, 7695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 194761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 122201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2376*v - 621*v - 1037*v - 24*v + 797*v to the form o + n*v and give n.\nAnswer: -3261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 3778.32ms?\nAnswer: 0.062972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 17054 + -21?\nAnswer: 17033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38844 divided by -3237.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 66511458?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, c: 1, k: 4}. What is prob of sequence kx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from {e: 7, o: 1, u: 2}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 557 minutes before 9:08 PM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 5*p - 14 = -r, -5*p + 3*r = 2. Let b = -215 + 230. Factor -b + 20 + h**2 - 6*h**p.\nAnswer: -5*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (1000\/1250)\/(5\/((-50)\/(-12)))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 30*o**2 - 1. Let z(k) = k**2 - 8*k + 10. Let g be z(6). What is the tens digit of q(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 60*u**2 + 11*u**2 + 46*u**2 - 10*u**2 as s*u**2 + k*u + n and give s.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2233 + 1002. Is -1230 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -27e0 (base 15) in base 3?\nAnswer: -102201010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -3*u**3 - 6*u**2 + 6*u - 6. Let o = -11 + 16. Let f(b) = 16*b**3 - 13*b**3 + 2 - 7*b + 7*b**2 + o. Determine 7*a(l) + 6*f(l).\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 1197224\nAnswer: -1\/299306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7524 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -11618*a - 2335244. Calculate p(-201).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = 10169 - 10067. Solve 17*y = 119*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyys when four letters picked without replacement from yqyqyqs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide -757 by 40.\nAnswer: -757\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = 951 - 938. Let o be (9 + 1)*8\/20. Suppose -o*h = 4*s - 28, -17 = -5*h + 4*s + 36. Solve 10*q - h = g*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3114)\/(-1730)*(-10)\/(-12)*(-4)\/(-10)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -3*i**3 + 1740*i**2 + 12381*i - 31698 = 0. What is i?\nAnswer: -9, 2, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -8*i + 3*i. Suppose -3*t - 33 = -5*s, 2*s = -0*t - t + 22. Calculate the least common multiple of i and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170910 - 510*j + 341847 - 170937.\nAnswer: -510*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(-3)*(11\/3)\/(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -335871 divided by -111957\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aammmmkakkmkabamma. What is prob of sequence mkkb?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*g - 2 - 0. Let n(i) be the third derivative of i**4\/3 + i**3\/6 - 3*i**2. What are the prime factors of n(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14*140\/1568*(-1)\/5.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11042.\nAnswer: 2, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 7\/21*0*1*1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 96 a factor of 146304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gtbxqgg. Give prob of sequence gx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 120.23 + -124.23. Which is the second biggest value? (a) 48\/41 (b) s (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 4 - 2*o)*(-127 + 0 + 3) as d + a*o and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 332990 is divided by 13788?\nAnswer: 2078","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 121105*p**2 + 4*p - 4*p + 121085*p**2 - 242213*p**2.\nAnswer: -23*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum 275959 and 1039.43842.\nAnswer: 276998.43842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -12719?\nAnswer: -63595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g + 5*w = -2*g + 23, g - 4 = -4*w. Let u(p) = -2*p - 3. Let x(c) = -40*c - 72. Let h(j) = g*u(j) - x(j). Let f(z) = -2*z - 25. Determine h(f(b)).\nAnswer: 16*b + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uuoouooouloooluuulo. What is prob of picking 3 o and 1 u?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 1374 (base 8) to base 6.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 23050755 a multiple of 315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -264.2753 times 25?\nAnswer: -6606.8825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25913 - 25915. Suppose 53 - 5 = -4*n. Let p = -2 + 3. Which is the second biggest value? (a) n (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -35187 - -35202. Calculate the greatest common divisor of n and 15525.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 5*y = 27, -3*y - 749 = -731. What is the closest to 3\/10 in x, 0.07, -0.4, 3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor d**3\/3 + 3629935*d**2\/3 + 3294003570472*d\/3 - 62589999120304.\nAnswer: (d - 57)*(d + 1814996)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 794*u**2 + u - 23. Is q(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -30 + 55. Suppose 6*p - z = 257. List the prime factors of p.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cukkukukkkkkuskmui. Give prob of picking 2 u and 1 k.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 116.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8009356?\nAnswer: 2, 2002339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**2 + 10*t - 10. Suppose 0*d - 3*d = 3. Let q be ((-24)\/(-18))\/(d\/(-6)). Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20825 is divided by 32?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = u - 1599 + 1594, -f + 3*f + 2*u - 10 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-219*p + 4*p**2 - 218*p + 434*p)*(-p**2 + p**2 + p**3).\nAnswer: 4*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -288*w - 1562. What is r(-2)?\nAnswer: -986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5178 is divided by 144.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -303*x**4 - 1505*x - 26*x**2 - 18*x**2 + 70*x**2 - 26*x**2 wrt x?\nAnswer: -3636*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -22958*c*j**2 - 215*j**2 - j + 155 wrt c?\nAnswer: -22958*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -642.51 times 0.038?\nAnswer: -24.41538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -24c6a5 (base 14) in base 6?\nAnswer: -43025453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**3 - 10*t**2 + 11*t + 4. Let b be r(-11). Factor -b*a**3 - 14*a**5 + 0*a**4 + 6*a**4 + 0*a**3 + 12*a**4.\nAnswer: -2*a**3*(a - 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - f**3 + 3*f - f**3 - 3*f + (2 - 2*f**2 - 2)*(1 - 2*f - 1) + 2*f**3 + 3*f**3 - 3*f**3)*(1 + 2*f + 2*f - 2*f).\nAnswer: 8*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 - 3)*(-273*n + 174*n + 159*n)*(0 - 3 + 4) to z + r*n and give r.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x - 24 = 2*l, -33*l = -4*x - 31*l + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -37*p**2 - 2. Let n(o) = -2*o**2. Let s(d) = 6*n(d) - z(d). Let b(l) be the second derivative of l**3\/2 - 2*l - 64. What is s(b(y))?\nAnswer: 225*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 229*w**3 - 99*w**2 - 4*w - 1. Let j(i) = -688*i**3 + 297*i**2 + 11*i + 3. Let v(x) = 11*a(x) + 4*j(x). Find the third derivative of v(f) wrt f.\nAnswer: -1398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 12*x. Let s be v(6). Suppose -2*l = l + 5*k - 216, l = 4*k + s. Calculate the highest common divisor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*p - 10*p - 3. Solve 0 = -g + p for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 23*j**2 - 6*j. Let r(k) = -4*k**2 + k. Let m(g) = -6*d(g) - 34*r(g). Let q be m(6). What is the remainder when ((-8)\/60*3)\/(1\/q) is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -14 - -71\/5. Let y = -12.2 - 3.8. Let k = -16 - y. What is the smallest value in c, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -3 - y**3 + 2*y - 4*y**3 + 2. Suppose 3*l - 14 - 1 = 0. Suppose 0 = 5*c - l. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + -3. Let t = w - -7.03. Let g = t + -4.03. Which is the biggest value? (a) g (b) -0.3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2622?\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor d**3\/3 - 498*d**2 + 248004*d - 41168664.\nAnswer: (d - 498)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xcaxxaxccxcxacxadxa. Give prob of sequence acca.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 22363*o**6 + 8*o**4 + 10*o**3 - 3518*o**2 - 1233*o wrt o.\nAnswer: 2683560*o**3 + 192*o + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p**2 + 5 - 5)*(-11 - 20 - 22)*(-6*p + 2*p - 4*p).\nAnswer: 848*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 5*s - 47 = -2*r, r + 19 = -s. What is the common denominator of 71*(-1 - 21\/r) and 4\/14 - 793\/(-42)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -868ed (base 16) to base 8\nAnswer: -2064355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = b, -841033*b - 23 = 3*f - 841032*b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-9)\/42*(-2)\/(-36). Let q = 493\/42 - a. Let n = -7 - -25. Find the common denominator of n and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 105401680 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 965 and 1160123?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 89784 and 29928.\nAnswer: 89784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0, 172, -21, 4 in ascending order.\nAnswer: -21, -2, 0, 4, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 2062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, -4\/7, 0, -5, -2\/155, 3988, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -207 + 22*z**3 + 4*z + 112 - 23*z**3 + 35*z**2. Calculate the remainder when r(35) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16270799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -0.04118 take away -464.4138?\nAnswer: 464.37262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 + 30*k**2 - 33*k - 53. Determine p(-31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(891)*1 + 1 + -1)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 325 and 282880?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 + y)*(-15 - 4 + 8)*(1 + 1 - 3) as f + m*y and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 74480231 to the nearest integer?\nAnswer: 8630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 + 9. Let q be (-24)\/n*110\/4. What is the common denominator of q\/(-28) + 8\/(-2) and -151\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 35*t + 71. Let i be s(-2). Suppose 15 = l + 4*l. Suppose 0 = -a + 2*a - l. Sort i, 5, a.\nAnswer: i, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 2 h, and 1 j when four letters picked without replacement from tytthhhhyftfjtt.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21816422.\nAnswer: 2, 523, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1 - -1. Suppose -4*g + 20 = -3*h - i*h, -4*h - 2*g - 16 = 0. Let o be h\/5*(-2)\/4. Which is the smallest value? (a) -1 (b) -5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11001101111100110 (base 2) in base 15?\nAnswer: 2139b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 30350207 is divided by 312?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 407956, 407969, 407982?\n\"Answer: 13*c + 407943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2530405331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 6*b = 12. Let p be -1 + -6 + 3 - -10. What is the greatest common factor of p and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -3728958\nAnswer: 1118687.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*n + 50*n - 13*n**3 - 34*n.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 69427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3 + 3 + 0)*5\/10. Let u(b) = b**3 + 7*b**2 - 8*b + 2. Let a be u(-8). Solve 3*z + a + 4 = p for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 34 by 7.\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 418.95, 0.21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -198 - 738 = 6*g. Let k be g\/(-504) - 2\/12. Factor k*h + 1\/7*h**2 - 1\/7*h**3 - 1\/7.\nAnswer: -(h - 1)**2*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 565 < 566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -12*g. Let f(j) = 292*j - 1. Give -2*f(y) + 6*l(y).\nAnswer: -656*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 3*h = 2, 1003 = -k - 5*h + 997 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = 3*y + 1. Let l be n(-3). Let w = -4 - l. Solve 5*f + w = 24 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/29397660 and -19\/11759064.\nAnswer: 58795320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 59\/10 and 16\/2799569.\nAnswer: 27995690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 147973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**2 - 35*s - 235. Let v be z(-24). Let j = 17 + 9. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 24 + 2*i**3 + 52 + 377*i - 751*i - i**3 + 378*i as h*i**2 + u*i**3 + x + t*i and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 226 a factor of 641162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -471.96 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10195.\nAnswer: 5, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**3 + 9*b**2 + 18*b + 34. Suppose 3*j + 2*k = 24, 20*k + 55 = 4*j + 15*k. What are the prime factors of x(j)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/146 in -42, -11, 3, -4, 5, 1.56?\nAnswer: 1.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(3267) + sqrt(27) - sqrt(27)*-1*4)\/((2*-1*sqrt(108))\/(sqrt(36)\/(sqrt(12)\/sqrt(4)))))**2.\nAnswer: 1083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -14916*x**3 - 9*x + 90312?\nAnswer: -44748*x**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -9711*x**3 + 15*x + 6. Let v(h) = 9713*h**3 - 20*h - 8. What is 4*o(c) + 3*v(c)?\nAnswer: -9705*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2765*l - 1388*l - 14 - 1379*l.\nAnswer: -2*l - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qjq when three letters picked without replacement from {d: 2, j: 2, q: 10}?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/8, 2, -4, -0.02, 6, 0.02?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.02? (a) 0.3 (b) -1.3 (c) -2 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = l**2 - l - 65. Calculate y(0).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j + 11. Let c(r) = r**2 - 47*r + 482. Let d be c(32). Let v(f) be the third derivative of -f**3\/3 + 2*f**2. Calculate d*q(b) + 11*v(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1089 - 4031 = -16*i. Calculate the greatest common divisor of i and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*f**3 + f**3 + 2*f**3 + ((-f + 3*f + 0*f)*(-f + 0*f + 0*f) + 1 - 1 - 2*f**2)*(-2*f - 8*f - 19*f) + (-2*f + 2*f + 7*f**2)*(1 - 1 - f).\nAnswer: 107*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(112) - ((sqrt(7) + 1 + sqrt(7) + -5)**2 - sqrt(7)).\nAnswer: -44 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1151202 is divided by 575600.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmmmm. Give prob of sequence mm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - f + 3*l + 10, -f + 5 = 2*l. Let c = 57.2 - 57.1. What is the closest to 2 in -0.3, f, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -50b - 42cb?\nAnswer: -4809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 188603022?\nAnswer: 2, 3, 3847, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 m, and 1 k when three letters picked without replacement from dxxkmmxx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1272 = 20*w - 5912. Let q(d) = 3*d**2 - 4*d - 6. Let r be q(-4). Calculate the greatest common divisor of r and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -8, 20, -5, -1 in ascending order.\nAnswer: -8, -5, -2, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -h + 4*q, 5*h - 3*q = -5*q - 188. Let x = 2 - h. Suppose 35*t = x*t - 18. Solve -3*i + t*i - 9 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/6)\/(4160\/150 + -28)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 185, 369, 553?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 0.46?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**3 - 6*x**2 - 4*x + 7. Suppose 3*k = 2*w + 9, 3*k - 29 + 8 = -2*w. Let r be c(k). Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 3*c - 2. Suppose -3*h + q + 2 = -0, -24 = -4*h - 4*q. Let f be t(h). Suppose 0 = -0*s + f*s + 8, -3*m + 17 = 2*s. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 174660 divided by -34932\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2\/17 (b) 5\/7 (c) -2\/7 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 4117 = 3995. List the prime factors of c.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(10)\/(sqrt(45)*5) + -2.\nAnswer: -2 + sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Are 5171 and -30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 10051241 (base 6) in base 2?\nAnswer: 1000110000000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 48*q - 1291 - 1029 = 752 for q.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 20 (b) 5 (c) -0.71 (d) 3 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -6*j**3 - j**2 + 7*j - 6. Determine u(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/35*5 + (-12)\/7. Suppose -5*k + 22*z = 24*z + 22, 5*k - 4*z + 46 = 0. Are k and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t**(-4)\/t*t)\/t)\/t)\/((t\/(t*t**2))\/t))\/(t**(3\/7)\/(t*t\/(t**(-15)*t))) assuming t is positive.\nAnswer: t**(88\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 61991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2570?\nAnswer: 2, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8786.2 and -0.041.\nAnswer: -360.2342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 6, 744, 5.7, 2.31, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*f + 9*f - 4*f = -13608. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 AM and 8:33 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) -2 (c) 18.8 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -368.5513 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4, 295, 2\/9, -12.65?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*j**3 + 62*j**3 - 30*j**3.\nAnswer: 58*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -4*x. Let r(u) = -4034239*u**2. What is r(y(n))?\nAnswer: -64547824*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 3*q - 310. Let c = -44 + q. List the prime factors of (1 + 2)*84\/c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -62*u + 134. Let t(c) = 32*c - 67. Let y(j) = -2*q(j) - 5*t(j). Differentiate y(z) wrt z.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 479\/261 + -50\/29. Let s = m - 535\/117. Is -3 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -5*w**3 + 34670*w**2 - 173245*w + 138580 = 0.\nAnswer: 1, 4, 6929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 4*p - 5*m + 16, 3*m = -3*p + 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((101\/(-202))\/(3\/4))\/(28\/(-322))?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3133*p + 19 = 4*x - 3130*p, -3*p - 5 = -2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/45 + (-1)\/(-9)*3. Which is smaller: 1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4*(-1)\/(2\/(-275))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rgrrggrbrbbrrbgbr. Give prob of sequence bbrr.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 4*g**2. Let r(b) = -b**2 + 34. Give a(r(s)).\nAnswer: 4*s**4 - 272*s**2 + 4624","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 4, k - s - 16 = 6*k. Let v = k - -8. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 109*a + 155*a - 305*a.\nAnswer: -41*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -2*j - 2. Let b(m) = -m - 1. Let q(f) = -4*b(f) + 3*c(f). Let i(w) = -w - 1. Suppose 0 = -2*h - h - 12. Give h*q(x) + 7*i(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = 28 + 2. List the prime factors of (-87)\/(-18) - 1\/l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes after 12:16 AM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dddddddddddddddddbd. Give prob of sequence bd.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.0907 + -2.9093. What is the smallest value in t, -0.032, 43, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sssssfsssfs. What is prob of sequence ss?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/14 - (-216)\/28. Let r(k) = -k**2 + 9*k + 9. Let g be r(b). Suppose 4*a - g = h, 0 = -5*h - 0 - 5. Are 1 and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.03728 + -1.33608. Round f to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/32*(-20)\/15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2 - 7*i + 10. Let h(z) = z**3 - 5*z**2 - 6*z + 8. Let g be h(6). Give v(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (-3 + sqrt(13) + 5 + 1 - (3 + sqrt(637) + -2))*-3)**2.\nAnswer: -396*sqrt(13) + 4333","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 66 = 134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 44\/(-8) + (-3)\/(-6). Let b(r) = r - 3*r - 4*r - 2*r**2 - 2*r - 6. Determine b(f).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of -2*((-44)\/8 - -4) + 45 and 4?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -65 + 90. Let s be ((-4)\/(-5))\/(1\/5). Solve -4*u + s*d + 1 = 21, 2*u + g = 5*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**2 + 141*f + 10926. What is d(-56)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-30)\/114*-19*12\/(-10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3111302 - 134?\nAnswer: -3111441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 94 + -94.0115. Let i = 0.016 + l. What is i rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-242*k - 57000 + 57000)*(2 + 4 - 4) as w + x*k and give x.\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2*l**2 + 6*l - 4. Let i = 19 - 24. Let n be x(i). Let r = n + 44. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*(((n*n**1*n)\/n)\/n)\/n)**(2\/45))**(-50) assuming n is positive.\nAnswer: n**(-20\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, r: 2}. Give prob of sequence rm.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 255353 - 255353 + 39*d**3 - 18*d**3 - 20*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (55 - (32 + 27) - (1 + -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 19365.8 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**2 + 21*s - 36. Let w be p(19). What is the third derivative of 14*a**6 - 50*a**w + 20*a**6 + 58*a**2 wrt a?\nAnswer: 4080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**2 + s + 26. Give y(0).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 500631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -241\/100 - -7\/200. Find the common denominator of h and 1\/(-12)*(-207)\/(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1043)\/3129)\/((1\/(-255))\/1).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2.4? (a) 6 (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from {d: 8, m: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/15, 2544, -0.1, -18\/199?\nAnswer: 2544","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -112*h = -107*h - 35, h - 1 = -3*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t. Let j(l) = -6*l + 2. Let m(q) = 42*q - 15. Let d(u) = 15*j(u) + 2*m(u). Calculate a(d(p)).\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 322, 640, 958, 1276?\nAnswer: 1594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 >= -1734.056?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -28*q**2 + 8*q. Let h(a) = a**2. Determine h(u(x)).\nAnswer: 784*x**4 - 448*x**3 + 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 94753096 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 11:01 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 352549836 divided by -1?\nAnswer: -352549836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -4, -1, -5 in descending order.\nAnswer: -1, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -11110101 (base 2) to base 9.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/7 + (-136268)\/(-77). Suppose -h = -12*b + 2*b. Calculate the remainder when b is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4156 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qjprqmm. Give prob of sequence mmq.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 2*x. Let b(n) = 27*n**2 + 3730*n + 3. Calculate b(s(u)).\nAnswer: 108*u**2 + 7460*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -135*b = b + 16*b - 1824 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w*w**5))**(9\/2)*w*w*w**(10\/3)*w*w*w\/(w\/w**(4\/3)*w) assuming w is positive.\nAnswer: w**(-89\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**2 - 4*v + 6. Let s be n(8). Let i = s - 21. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) be the second derivative of -y**3\/2 - 3*y - 4. Let m(s) = -9*s**2 + 1. Determine l(m(v)).\nAnswer: 27*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -p**3 - 12*p**2 - 9*p - 19. Let k be a(-11). Which is smaller: -40 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -110*k + 45. Let y(o) = -5*o + 2. Let l = 8 + -6. Let d(b) = l*t(b) - 45*y(b). Let f(n) = n**2. Calculate f(d(q)).\nAnswer: 25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1032522 and 1110.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does -200124 = -198322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.016? (a) 95 (b) 0.1 (c) -8 (d) -2 (e) -0.11 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 11159343 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -209 <= -204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.641798 litres to millilitres.\nAnswer: 9641.798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of -5*d**8\/28 + d**5\/15 - d**3 + 139*d**2. What is the third derivative of n(t) wrt t?\nAnswer: -3600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 3*p**3 - 5*p - 17. Let n(i) = i**3 - 2*i - 6. Let w(x) = -17*n(x) + 6*y(x). Find the second derivative of w(z) wrt z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*a**5 - 4*a**5 + a**5 + (-5*a**2 + 5*a**2 + 2*a**3)*(-a**2 - 5 + 5) - a**5 - a + a + (5*a**5 - 2*a**5 - a**5)*(2 + 5 - 1).\nAnswer: 10*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*q = 21*q + 200 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*g - 2*k + 9, -4*k + k = -3*g - 6 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 652 divide 1076452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -29 - -61. Let w(a) = -35 - 3*a + 59 - i. Let g be w(-4). Let y(f) = -f - 3. Calculate y(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 602836?\nAnswer: 2, 13, 11593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**(-4)*n*n**(-5))\/(n*n\/(n\/(n*n**(-1)\/n))*n*n)**(22\/7))\/((n**0)**(-11\/4)*(n**1)**(-4\/15)) assuming n is positive.\nAnswer: n**(-422\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -21*o - 33*o + 25*o. Let p(y) be the first derivative of -2\/3*y**3 + 0*y + 0*y**2 + 1. What is p(g(q))?\nAnswer: -1682*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of -2*m**5\/65 + 5*m**4\/13 - 10*m**3\/13 - 10*m**2\/13 + 32*m\/13 + 850. Determine v, given that c(v) = 0.\nAnswer: -1, 1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert dd64d (base 16) to base 6.\nAnswer: 31234141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 126206 - 74703. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 94 (b) -1\/4 (c) -4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 11*a - 35. Determine d(-13).\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 0*m**3 - 11*m**3 - 2*m**4 + 29 - 25 as r*m**2 + p*m**4 + x*m**3 + j + q*m and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -43 + 37. Sort 62, 2, b.\nAnswer: b, 2, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8783 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-540)\/(-225))\/(48510\/(-525))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -35*a**2 + 48894*a + 99287. What is b(1399)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 21 (b) 39\/475 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 16\/3, 0.4, -8, -1, -3\/4 in descending order.\nAnswer: 16\/3, 0.4, -3\/4, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**3 - 16*q**2 - 43*q + 20. Let b be k(-13). Let w = 1007 + b. What are the prime factors of w?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*s**2 + 2 + 2*s**3 - 89*s**4 + 2054*s - 7*s**2 - 3 - 2055*s to the form z*s + l*s**4 + g + b*s**2 + a*s**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -119398522576 - 4.\nAnswer: -119398522580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/473110 and -37\/85.\nAnswer: 473110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 2*m**2 + 2*m + 3. Let i be u(-2). Suppose -3*t + 294 = 5*y, i*y - 3*y = 2*t + 222. Is 19 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o - 2*o + 8 = 0. Let b(k) = k**3 - k**2 - k + 3. Let m be b(o). Solve 5*w + l - 28 = 0, -m*l + 3 = -3 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/5500 and 7\/5500.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 682 minutes before 9:01 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15439 is divided by 153?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -222*i + 1794036 = -56*i + 361124. Calculate the remainder when i is divided by 157.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m + 339*b - 341*b = 0, 5 = 5*b for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 3*j + 17 = 0, -2*s - 7*j - 1293 = -1334 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7228506)\/(-128165)*(-2)\/(12\/10)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 141773 is divided by 510.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2701863049 to the nearest integer?\nAnswer: 51979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor p**3 + 1803*p**2\/2 - 15479*p\/2 - 4095.\nAnswer: (p - 9)*(p + 910)*(2*p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w. Let c(j) = -7*j - 4*j + 6*j. Give c(k(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1*1*((-2812)\/(-380))\/37.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 14793767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -469.4 + 314. Let g = o + 148.59. Let n = -7 - g. Which is the third smallest value? (a) -0.4 (b) 4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 15 = -0*h. Suppose h = 2*m + 1. Solve 2*x - m = 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 3146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 487.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5 - -10. Let l = -0.021 + 0.551. Let k = l - 0.03. Put m, -0.4, k in ascending order.\nAnswer: -0.4, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15*v + 519 = -30*v - 651 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 59*h**2 - 2*h - 1. Let b be o(-1). What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 91\/4 of a microgram?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 39 = 5*q, 3*a - 34 = -4*q - 7. Suppose -65466 - 11304 = -q*j. What is j rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 16.28 (b) 5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 13\/(-11) + (4 - (-6)\/(-2)). Let q = -1805\/22 - -82. Which is the fourth biggest value? (a) j (b) q (c) -2 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.3 + -0.5. Let i be (-96)\/(-52) + (2 - 4). Sort i, k, -2\/3 in decreasing order.\nAnswer: i, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -10 + 14. Let t = -8 - n. Let i = t + 12.082. Round i to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 - 16*i**2 + 11*i - 7. Let a be u(-17). What is the greatest common factor of 38 and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be 231\/44 - (-6)\/8. Suppose -3*t = -v*t + 6. Solve -z - 3*u = -2*z - 6, -2*z - t*u + 4 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*v - 2*d - 16 = 0, 2*d = 34 - 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 369 is divided by 90.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 55862.\nAnswer: 2, 17, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x + 0*x = 408. Let r = x + -49. Suppose r*t - 2287 = 1435. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 y and 1 s when two letters picked without replacement from {v: 1, s: 1, g: 2, y: 6, a: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 4010\/207 bigger than 1\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 4006, 3988, 3970, 3952?\n\"Answer: -18*x + 4024","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 18 - -2. Let r(g) = 2*g**2 + 3*g. Calculate the smallest common multiple of r(-2) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 1 s when three letters picked without replacement from {m: 3, s: 6, c: 2, z: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f be 26\/5 + (-11)\/55. Solve -5*a + 20 = -f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*c - c + 24. Suppose -4 = -2*b + y + 9, 13 = 5*b + c*y. Which is bigger: 3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -95\/264 and -11\/12.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-3) - (2 + (-40)\/12). Let l be -2 - (w + -5 + 2\/(-2)). Find the second derivative of -177*d**l + 38*d + 177*d**4 - 27*d**5 wrt d.\nAnswer: -540*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 10, -7, -4 in increasing order.\nAnswer: -7, -4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p**3 - 5*p + 6. Let s(y) = -2*y**3 + 6*y - 7. Suppose -f + 30 = 4*f. Calculate f*q(b) + 5*s(b).\nAnswer: 2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 29 (b) -0.17 (c) 0.08 (d) 0 (e) -46 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 32 and 6112?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 803 + -694. Calculate the remainder when b is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -4*s + 485*g - 482*g, -8*s - 10*g + 14 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -112*(-56)\/3136*16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*f + 15*f - 4*f - 5*f - 2*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -9*q**2 + 6*q + 9*q**2 + q**4 - 5*q**2 + 0*q**2 + 7*q**2 - 2*q**3 - 11 in the form l*q**2 + r*q**3 + o*q**4 + d + v*q and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -33\/151 and -6\/1057?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 5 - -1 - (7 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-3 - -3) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*r - 8 - 3*r + 9)*(11*r**2 - 17*r**2 - 66*r**2).\nAnswer: 504*r**3 - 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90*n + 94*n = 1116. List the prime factors of n.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -15, -2, 4, 5, 1 in descending order.\nAnswer: 5, 4, 1, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes before 2:56 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v + 136 = -3*v + 4*g, -3*v + 5*g = -110. Suppose -d + 20 = 4*d, 0 = 3*m + 5*d - v. Let c(w) = w**2 - 5*w + 7. What is c(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1572 divided by 6\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4431431901 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7353863 or -7353792?\nAnswer: -7353863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.04*83196\nAnswer: 3327.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 20342 and 42.\nAnswer: 61026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.0981 from -1012.\nAnswer: -1011.9019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3711*t**4*u**2 - 7*t**2*u**2 - 138530*u**2 wrt t?\nAnswer: -14844*t**3*u**2 - 14*t*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5928941310 to the nearest integer?\nAnswer: 77000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.42 (b) -8050 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -14493.153 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-27)*s**(-5))\/(s**(-11)\/(s**(-43)\/s)) assuming s is positive.\nAnswer: s**(-65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate d*i*j - 3*d*j - 2*d - 370*i*j + 404*i + 261*j + 36 wrt j.\nAnswer: d*i - 3*d - 370*i + 261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32800474?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = 75 + -57. What is the common denominator of (-9)\/i - (-13)\/18 and 14*((-24)\/(-13) - 2)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-1*sqrt(2835))\/sqrt(7) - ((sqrt(60)\/sqrt(4))\/sqrt(3) + -3)).\nAnswer: -10*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -863*d*f*n - 64*d*f + 37*f*n + 26*f + 2*n + 4 wrt d.\nAnswer: -863*f*n - 64*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.419 times -0.1?\nAnswer: 0.0419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iux when three letters picked without replacement from {x: 4, w: 5, u: 2, i: 7}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be 202\/(-5) - (-8)\/20. Let t = h + 60. What is the least common multiple of t and 20\/2 + ((-80)\/10 - -4)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 18 + 15*c**2 + 12*c + 0*c + 6*c - 3*c - c**3. Let f be s(16). Solve 0 = -f*j - 2*n - n - 4, 4*j - 24 = 2*n for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -685211\/15 greater than or equal to -45682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 4739330 - -5\nAnswer: 4739335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -4 - ((-10 - -5) + 1 + 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -11, 4, -0.03?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + 63. Let m = -25 + 25. Let s be i(m). Suppose -s - 33 = -12*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mgmm when four letters picked without replacement from ggmmmmmmmg.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/1*23\/13800*60.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/252 and 101\/126.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -16*h + 18*h**2 - 48*h**2 - 18*h - 81*h**2 - 2 + 16*h as m + u*h + t*h**2 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/4 - -2 - 24. Let h(d) = 4*d + 89. Let z be h(f). Which is the closest to 1? (a) 1 (b) z (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -13\/11799 and 41\/253.\nAnswer: 129789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 277 minutes before 1:34 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*g - 10*g - 9*g - 11*g - 13*g.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 + 3 - 20\/(-2). Suppose -2*o + 0*s + 1 = s, 3*o + f = 3*s. Let q = -0.1 + 0.2. What is the closest to q in o, 1\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s**3 - s**2 + s - 19. Let h be (-1)\/2*(3\/1 + -21). Suppose -5*p = 3*r - h, -2*p = -3*r + 8 + 1. What is o(p)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -92.7 - -93. Let s be (-1 - 0)\/(0 + -1). Which is the second smallest value? (a) 2\/7 (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1108, -8728, -29408, -69676, -136060, -235088?\n\"Answer: -1088*i**3 - 2*i**2 + 2*i - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 0*w = -2*w - 12, -4*x - 5*w = 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 + (60\/90)\/((-2)\/(-3)) is divided by 35?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 10368, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 204, 840, 1906, 3408, 5352, 7744, 10590?\nAnswer: 13896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1309, -2511, -3713, -4915, -6117, -7319?\n\"Answer: -1202*b - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 1204b2 (base 13) to base 16\nAnswer: 68cb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - 27 = -9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -12, -22, -24, -12, 20, 78, 168, 296?\nAnswer: 468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0146595956 rounded to three decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1.5 (b) 3 (c) -17 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 16333\/28 + -583. Find the common denominator of u and -9 + 1616\/176 + (-1)\/((-110)\/(-1241)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -96121*s*v*x**2 - 5*s*v + 2*s*x**2 + 43*s - 2*v**3*x**2 - 121*v**3 - 3*v**2 - 3*x wrt x?\nAnswer: -192242*s*v + 4*s - 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nqf. Give prob of picking 1 q and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 122*x - 15*x - 2023 - 3969 = 0. What is the greatest common factor of x and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {w: 8, d: 1, i: 2, n: 7}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51183560?\nAnswer: 2, 5, 337, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (13*r**4 - 50*r**4 - 11*r**4)*(5 + 3*r - 2*r - 6).\nAnswer: -48*r**5 + 48*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**3 - 2*s - 1. Suppose -3*b + 3*a - 129 + 123 = 0, 2*a = -3*b - 6. Let w(u) = -u - 1. Calculate b*r(d) + 3*w(d).\nAnswer: 2*d**3 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from egyxgxxeex. What is prob of sequence xx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 78 - 74 - (40 + 1 + -2 + 4 + 1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4625?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**0)**(2\/49))**1 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 196 and 1666.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/2, 3, 1111079 in increasing order.\nAnswer: 1\/2, 3, 1111079","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 272561 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2284)\/744 - (-3)\/18. Let x = -1165\/186 + o. What is the common denominator of (-6)\/(-15) + (-158)\/120 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 0*l = -2*l - 12, -3*h + 3*l - 27 = 0. Do -105\/11 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -6698*y**4 - 68*y**2 + 3097567.\nAnswer: -26792*y**3 - 136*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**2 + 10*t + 4. Let z be q(8). Suppose j + z = 6*j. Is 366\/10 - j\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 31*u - 15*u - 761 - 11*u - 10*u to f*u + n and give n.\nAnswer: -761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1\/11)*c\/(c*c*c*c**(1\/3))*c*c*(c**(-1)\/c)\/c**(-6))**(-3\/22))**(-12\/11) assuming c is positive.\nAnswer: c**(708\/1331)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.32 + -0.38. Let m = -1.9 - r. Which is the closest to 2\/7? (a) -5 (b) 3\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.06 - 0.94. Let s = t + 0.7. Which is the biggest value? (a) -4 (b) s (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.4 (b) 4 (c) -1018 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 761113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(3*sqrt(80)*-4)**2 - (sqrt(80) + sqrt(80) + 2*-1*sqrt(80) + sqrt(80) + sqrt(80) + 2))*1 + -2.\nAnswer: -8*sqrt(5) + 57596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/15 in -5, -3\/7, 3, -3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -161*w + 426*w + 123*w + 296*w to the form z*w + q and give z.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3078 or 3076?\nAnswer: 3076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 500487917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -3030 or -3636?\nAnswer: -3030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -0.3 (b) 3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, i: 1, g: 1, z: 1, r: 1, s: 2}. What is prob of picking 1 z, 1 g, and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(77) - sqrt(77))\/sqrt(7) - -5*(sqrt(88)\/sqrt(8))**2 - (sqrt(385)\/sqrt(28) - sqrt(55))\/(sqrt(40)\/(sqrt(32)\/sqrt(4))).\nAnswer: -7*sqrt(11)\/2 + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -3*k + 13. Suppose -k*g = -2*g - 312. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 - -11. Suppose -p*i = -4*r - 136, 82 = 3*i + 2*r - 4*r. Calculate the greatest common divisor of i and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 + 20 = -r + n, 3*r - n = 92. Let t(f) = 1 + 6*f**3 - r*f + 32*f. What is t(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/4)\/((-3)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/12)\/(12\/18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.193 - 0.153. Let y = q + -0.02. Which is the second smallest value? (a) -0.1 (b) -5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 33646 (base 9) to base 14\nAnswer: 823c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -218*m = 486*m - 9856. Calculate the remainder when (-1)\/(1 + 238\/(-237)) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 25\/(-10)*((-1)\/2)\/(3\/8) and ((-86)\/8)\/((-18)\/8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11\/5*i**3 + 1\/5*i**4 - 5*i + 7*i**2 + 0 = 0 for i.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 23.62 - 23.42. Sort h, -1\/12, 9, -5 in decreasing order.\nAnswer: 9, h, -1\/12, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144718 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-29832)\/(-6780)*(-60)\/(-4)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = 107 + 73. Calculate the remainder when 14 is divided by d\/42 - (-4)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5 and -50.5252?\nAnswer: 45.5252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the first derivative of 7*o**2\/2 - o + 2. What is f(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7416*l**5*v**2 - 2*l**5 + 33*l*v + v**2 - 4 wrt l?\nAnswer: -148320*l**3*v**2 - 40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**3 - 4*z - 1. Let p be q(3). Find the third derivative of -b**3 - p*b**2 + b**3 + 4*b**4 + 15*b**2 wrt b.\nAnswer: 96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 188 = 2*m + 9*i, 5*m + 2*i + 491 = 0. Let f = m - -114. Solve -2*x + f = x + 3*s, x - 5 = -3*s for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h + 3 = 6*h. Let r(t) = -4*t**3 - 12*t**2 + 14*t - 2. Let d(w) = w**3 + w**2 - w + 1. Let l(u) = h*r(u) - 3*d(u). What are the prime factors of l(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 4*f + 32. Let g be s(-8). Sort -1, 3, g in descending order.\nAnswer: 3, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**2 + 14*s - 19. Let f be c(13). Let o be (3400\/f)\/((-8)\/(-72)). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4297, 3093, 1867, 607, -699, -2063, -3497?\nAnswer: -5013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -2*t**3 - 2*t**2 - 2*t. Let c(f) be the third derivative of -f**6\/120 - f**5\/30 - f**4\/24 + 127*f**2. Calculate 4*c(y) - 3*l(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 49\/5 of a millisecond in microseconds?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*g = -75*g - 1003 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*n**3 + 9*n**3 + 159 + 0*n**3.\nAnswer: -n**3 + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 253885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 3740 and 7477\/2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -44 (base 5) to base 13.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 335801 * 0.2.\nAnswer: 67160.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8 - -14. Let h be 2\/(-5)*10*1. Let b be (-71)\/h + (-1)\/(-4). Calculate the highest common factor of b and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 272*c**2*p**2*y**2 + 147*c**2*p*y - 44*c**2*y**2 + 21*p**3*y**2 + 6*p wrt p.\nAnswer: 544*c**2*y**2 + 126*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 19013367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 2348\nAnswer: -2\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1734\/2601)\/(9*(-1)\/1).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2\/13, -3, -1, 0.182, -0.13, -1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (30*(-10)\/1080)\/((-5)\/(-3)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r + 16 = 2*s - 10, r - 3*s + 4 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 10) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**5\/2 + 22*a**4 + 473*a**3\/2 + 815*a**2 + 600*a = 0. Calculate a.\nAnswer: -30, -8, -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-72)\/16*10\/15)\/(10*27\/3960).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -4*u**3 - 2664*u**2 - 591408*u - 43764192 = 0.\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 3. Let p be 510 + 18 - (-1 + (0 - 1)). Let m = -528 + p. What is the nearest to -1\/5 in u, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -53*n + 1. Let h be b(-5). Suppose 0 = -3*j - 59 + h. Calculate the remainder when j is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 76353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 20 - 23. Let t = 0.2 + -0.4. Let y = t + 0.1. What is the second biggest value in y, 5, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -83 smaller than -62419\/764?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 246428317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let z = 4 - 6. Let t(l) = 5*l - 1. Let s be t(3). Suppose 3*p + 3*g = 0, -3*p + 7*p = 3*g - s. Does p = z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + 4*i**2 + i + 3. Let s(f) = 6*f - 3. Let h be s(4). Let d = h - 18. Suppose 23 - 11 = d*w. What is n(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*u + 1218 = -0*u. Let h = u - 107. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -2*w**2. Let z(o) be the third derivative of o**4\/6 - o**3\/2 + 22*o**2. Calculate s(z(q)).\nAnswer: -32*q**2 + 48*q - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8678787nm in micrometers?\nAnswer: 0.0008678787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-6965)\/(-140) - 2\/(-8). Solve -x*n + 45*n + 5 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 4. Let v = 9 + h. Suppose 0 = -181*a + 24*a - 50*a + 414. Solve 0 = 3*n, i - n + a*n = -v for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1256, 3439, 7078, 12173, 18724, 26731?\nAnswer: 36194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) 2 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 122 - (-12 + (41 - 4) + -9 - (-2 - -8)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1046 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -20*m - 46. Is j(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -29 + -33 + 29 - -45.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -16*k**2 + 5*k**3 - 2*k**4 - 1 + 9*k**2 - 4*k + 9*k**2 in the form y*k**3 + x + l*k**2 + u*k**4 + p*k and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a decade in years?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -121.773 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ckc when three letters picked without replacement from {c: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 0 + -7 - (146 - 143 - (-1 - -16))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 0.3, -66, -14\/11, -2\/7, -5 in decreasing order.\nAnswer: 1, 0.3, -2\/7, -14\/11, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of ((-2020)\/(-25))\/(1672\/(-240) - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7370 divided by -110.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 473 = 252*c - 37*c - 387 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-4 - -7)*(-1)\/(-3) - -4. Suppose -i*k = -6*k + 4. Suppose -5*g - p + k*p = -6503, 3*g + 2*p - 3898 = 0. Round g to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 888303 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 28, 27, 26, 7, -48, -157, -338, -609?\n\"Answer: -3*t**3 + 18*t**2 - 34*t + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -337 = 4*j - 5. Let m be -7 + 3 - (j + 2). Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -52*y - 42*y + 94*y - 6*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 249123696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1922908228957262.25000098 - -1922908188965005. Let h = n + 39992346.25. Let d = -89 + h. What is d rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -1041, -1042, -1035, -1014, -973, -906, -807?\n\"Answer: y**3 - 2*y**2 - 2*y - 1038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1644)\/(-16)*(-16)\/(-6). Let z = l + 105. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -11 + 16. Let s(r) = r**2 - 2*r - 9. Let f be s(4). Sort f, m, 0 in decreasing order.\nAnswer: m, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*h - 13 + 12 + 0*h.\nAnswer: -16*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 3, p: 1, j: 4, g: 5}. Give prob of picking 2 g, 1 t, and 1 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 180*x - 177*x - 2*w + 21 = 0, x - 17 = -2*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -72281*a**4 + 27965 wrt a.\nAnswer: -289124*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*j**5 + 6*j**5 - 9*j**5 + (-1 + j**2 + 1)*(-2 + 2 - 2*j**3) + (0*j**4 + j**4 - 5*j**4)*(4 + 5 - 17)*(-2*j - 2*j + 6*j).\nAnswer: 70*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 4 - 2240?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = 13 + -26. Let b = -8 - d. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be -1 - ((-1442)\/10 - 11\/(-55)). Let i = 145 - g. Calculate the highest common factor of 7 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(325) + 5 + 2 + sqrt(325).\nAnswer: 7 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3951?\nAnswer: 3, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lixqp. What is prob of picking 1 l, 1 x, 1 q, and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t**2 - 5. Suppose 3*y - 2*y = -7. Suppose -179 + 314 = -27*q. Let o(x) = -3*x**2 + 7. What is q*o(l) + y*m(l)?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/144208 and -47\/1117612?\nAnswer: 4470448","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -d6cd - 56?\nAnswer: -d745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.0289 + 23.5711. Round c to zero decimal places.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.5 (b) 2 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47516 is divided by 59.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 y when two letters picked without replacement from {y: 8, e: 1, r: 6}.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -41, 2.094 in decreasing order.\nAnswer: 2.094, 0.4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**3\/2 - 87*s**2\/2 + 336*s - 294.\nAnswer: 3*(s - 14)**2*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r**2 + 22087392*r - 44174768 = 0. What is r?\nAnswer: 2, 5521846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aalzslaalatasaazzat. What is prob of picking 1 t, 1 a, 1 z, and 1 s?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.71 - -3.71. What is the closest to -1 in 2\/13, 3, f?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15 divided by 2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/5 (b) 1\/7 (c) 1\/6 (d) 305 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -1252*g + 3. Is s(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*z + 100 - 260 = 0. Solve -37 = 3*o + 5*y - 5, 2*y + z = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b + 1. Suppose -2*k + 6 = 4*j, 5 - 6 = k - 2*j. Let c(t) = 2. Determine k*c(r) - 2*x(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 135*p**3*w**4 + 3*p**3 + p**2*w**5 - 10*p**2*w + 2 wrt w?\nAnswer: 1620*p**3*w**2 + 20*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 129 (base 12) to base 6\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ijws when four letters picked without replacement from wiwiwjwwjowwwiwwwwws?\nAnswer: 13\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(1\/10)*x**20 assuming x is positive.\nAnswer: x**(201\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h\/((h*h\/h**(-1\/18))\/h)*h**(3\/14)*h**11*h**(-1\/3) assuming h is positive.\nAnswer: h**(745\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 7629 = -181*a + 1837 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/3, -1\/5, 28, -0.02?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 15*f + 3. Let g = -46 - -49. What is the units digit of o(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -8 - ((-4 - 2) + 45 + -62)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2519.08 rounded to the nearest ten?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 4 = -4*y, 176*y = 181*y + 2*x - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5.348 - 79368.\nAnswer: -79373.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 275.8?\nAnswer: 275.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pppa when four letters picked without replacement from ppap?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -60 + 65. Let c(m) = -8 + m**2 - w*m + 2 + 9*m. What is c(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32 + -30. Let h be (1 - (r + -1))\/1. Determine v so that h*v**4 + 0*v**2 - 2\/9*v**3 + 0 + 2\/9*v**5 + 0*v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(-2 + -6*(sqrt(363) + (sqrt(363) - (sqrt(363) - (-2*sqrt(363) + sqrt(363)))) + (sqrt(3) - sqrt(6)\/sqrt(2)*-4))**2*2).\nAnswer: 3608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 5.83. Let x = 0.11 - n. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 2374 - -16?\nAnswer: 2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(156)*3)\/(sqrt(6)\/sqrt(2)*1).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -31a + 1bd386?\nAnswer: 1bd06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 10 = q. Suppose q*p - 27 = -b, 0 = -4*b - 2*p + 35 + 61. What is the third derivative of b + 3*j**2 - 4*j**2 - 23 + 10*j**3 wrt j?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) 476\/23 (c) 7 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 218880*p**4 + p**2*t + p**2 - 45*p*t + 169191*p wrt p?\nAnswer: 2626560*p**2 + 2*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 182758, 365840, 548922, 732004, 915086?\nAnswer: 1098168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11249\/12645 - -1\/1405. Let g be (-8)\/(-84)*(-2114)\/906. Sort -3, g, y in decreasing order.\nAnswer: g, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -7*l - 10. Let m be 8\/6 + l\/2. Let z = -2.21 + 1.71. Which is the nearest to m? (a) 4 (b) z (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uqzqzduv. Give prob of sequence qvvq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -2*c**3\/9 - 574*c**2\/3 + 282008*c\/9 - 185704\/3 = 0.\nAnswer: -1002, 2, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -54809430.\nAnswer: 1\/10961886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the third derivative of 197*q**7\/42 + 67*q**3\/6 + 205*q**2. Find the first derivative of d(i) wrt i.\nAnswer: 3940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, -15, -3\/46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -354407 - -5?\nAnswer: -354402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*z**3 - 37896*z**2 + 873724*z = 0.\nAnswer: -9497, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 114?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/5)\/((25\/20)\/5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44604 = 2*r + t, 20*r - 18*r = -5*t + 44596. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.8053929 and -22.\nAnswer: -22.8053929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:20 PM and 7:59 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1506 - 1506 + 10*p**2.\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*m - 80 = m. Is 74\/(3*m\/285) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -183964615 plus 6.4?\nAnswer: -183964608.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 2, 398, -1, 3, 0 in ascending order.\nAnswer: -10, -1, 0, 2, 3, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxexxxxxxxxxxxxxxx. What is prob of picking 1 e and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrr when three letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -21607 divided by 31?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 5*m - 116 - 169 = 0, -3*m = -4*i + 563. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/2*((-26194)\/(-819) - 32).\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -1, -0.3087, 0.21, -0.5.\nAnswer: -1, -0.5, -0.3087, 0.21, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -33\/2, 2\/3, -4\/7, -5, -3, 2\/9 in ascending order.\nAnswer: -33\/2, -5, -3, -4\/7, 2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 6*g + 55. Let z(b) = 4*b + 37. What is -5*t(p) + 7*z(p)?\nAnswer: -2*p - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -27.2 + 27. Which is the nearest to 3? (a) 0.2 (b) 0.03 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3927636 and 436404?\nAnswer: 3927636","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 61847022?\nAnswer: 2, 3, 2203, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19937.\nAnswer: 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*h**3 + h**3 - h**3 + (-239 - 25*h + 239)*(-h**2 - h**2 + 0*h**2) to the form i*h**2 + z*h + j*h**3 + c and give j.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 PM and 11:59 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -4*a**5 + 76*a**4 + 260*a**3 + 100*a**2 - 256*a - 176 = 0. What is a?\nAnswer: -2, -1, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 0 (c) 0.037 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -12.39, -3, 1\/4, 0.1, -0.4, 4?\nAnswer: -12.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b**2 - 4*b**2 + 8*b + 9 - 8*b - 6*b = 0. What is b?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 2, -2, 86.\nAnswer: -3, -2, 2, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of y**8\/336 - 557*y**5\/5 - 1041*y**4\/8 - 81*y**2 + 10*y. Find the second derivative of p(i) wrt i.\nAnswer: 20*i**3 - 13368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4 (b) -3.9 (c) 0.24 (d) 133 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3 in 1.1, -1, 1\/9?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((((p**(-3)*p)\/p)\/p)\/p*p)\/p)\/(p\/(p**(2\/7)*p))*p\/p**(-2\/5)*p\/p**(1\/6) assuming p is positive.\nAnswer: p**(-521\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 3 + (2 + 2 - (7 - 5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 7057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + s - 8 = -s, -x + 4*s - 6 = 0. Let n(t) be the third derivative of -1\/360*t**6 + x*t**2 - 1\/24*t**4 + 1\/18*t**3 + 1\/60*t**5 + 0*t + 0. Factor n(p).\nAnswer: -(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + j - 2*g + 4, -j - 4*g = -18. Let r = 483\/10 + -174\/5. Calculate the common denominator of j\/32 + 1 - 0 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33367 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v**0*v*v))\/v*v**(-2\/5)*v**(-5)\/v*v*v*v**(4\/9) assuming v is positive.\nAnswer: v**(-268\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 4*w**2 - 2*w + 5. Let b(n) = -n**2 + 6*n + 20. Let l be b(8). Calculate z(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -460211048\/609 + 755683. Let l = d + 2\/87. What is the common denominator of 2*-1 + 12\/28 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1542\/11 + -138. Find the common denominator of 1298\/(-112) - (-8)\/(-28) and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -30443, -30331, -30177, -29981, -29743, -29463?\n\"Answer: 21*z**2 + 49*z - 30513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 36.24194 decades in centuries?\nAnswer: 3.624194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o - o + o - 4)*(0 - 2 + 1) in the form f*o + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(9)*-2)\/sqrt(3) + ((sqrt(363) + -2*sqrt(363) - sqrt(363)) + sqrt(3))**2 + 2 + sqrt(192).\nAnswer: 4*sqrt(3) + 1325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 9 (b) 3 (c) 749\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 263*w - 261*w + 2, 4*x = -8*w - 20. Let r = -226\/45 - -34\/5. Which is bigger: r or x?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.8 - -0.2. Which is the nearest to v? (a) -1\/5 (b) -0.1 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 PM and 2:47 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 29 = t + 5*a, 2*t + 5*a - 17 = 0. Let f(p) = p**2 - 6*p. Let z be f(t). Let k be (-1 - 2) + z - -5. Solve 2 = 5*x - 18, -12 = -k*y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112 + 0 = 7*n. Let y = n - -20. Solve 0 = 3*x + 3*s, -y*x + 2 - 3 = 3*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11 - 5 - 48 - -27?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 3*m + 90. Let w be 7\/((-21)\/m) + -3. Let t(f) = w - f**2 + 2 - 6. Determine t(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 536\/14 + (5 - 74\/14). Suppose -6*k + m = -178. Solve -5*i - 2*y + 8 - k = 0, 0 = -3*i - 5*y - 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5310 (base 14) in base 13?\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -10 (b) -3\/7 (c) -337\/7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**2 + 7*t - 5. Let a(o) = -3*o**2 + 22*o - 16. Let g(b) = 2*a(b) - 7*f(b). Let l = -10 - -20. Let z = l + -6. Give g(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 3*w**2 - 9*w - 2. Let y be p(-10). Is 388 equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.311857 and -35?\nAnswer: 35.311857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 37 + -34. Suppose 2*k - 782 = -j*a, 5*k + 487 = 2*a - 28. Suppose 4*m = 5*r + a + 88, 5*m = 4*r + 435. List the prime factors of m.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -7878 or -102396\/13?\nAnswer: -7878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k - 1. Let b be s(1). Which is smaller: b or 4\/47?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -116, -125, -140, -161, -188, -221?\nAnswer: -260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = 19282 + -19279. Solve 0 = s - 3*w + n + 16, -2*s = -4*w + 28 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - (-111)\/(-15))\/((-17)\/(-85)). What is the smallest common multiple of (-63)\/m + 1241\/2 and 6?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 + 16. Let l be 9\/(-60) - (-2)\/h. Suppose 0 = 19*f - 17*f + 6. What is the nearest to f in 2\/7, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -19 + 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, 2\/3, -0.08, -0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve d - 28 = 2*t - 30, -2*d - 2*t - 10 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 213525 and 32193?\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -79 (b) -11 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -106*f**2 - 2*f. What is q(-1)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = 5*v + 2*a, -7 = -3*v + 3*a + 2. Suppose 364 = -5*f - 2*m, -v*m + 6*m = 6. Let w = 224 + f. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5159 or -5206?\nAnswer: -5206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 0.5, 0, -0.29, 1\/4?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -185163, -185159, -185155, -185151?\nAnswer: -185147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91 is divided by 73.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -125 by 8.\nAnswer: -125\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 18\/(((7\/630)\/(2\/(-5)))\/(972\/7776))\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p\/(p*p*p**(-6)))*p*p**(-5\/4)*p*(p**(2\/7))**(7\/2))**(-4\/5) assuming p is positive.\nAnswer: p**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the first derivative of 4 - 1\/2*c**2 + 1\/4*c**4 - 11*c + 1\/3*c**3. Calculate d(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 957557 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 3 = -29. Solve -5*v + s = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttjt. What is prob of picking 1 j and 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/2*-3)\/((-315)\/(-1050))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17 - 16. What is the remainder when 2 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = -p - 11. Let d = p + 34. Let f = d - -10. Solve 27 = -5*s - l, -f*l = 2*s + 2*l + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the third derivative of -k**6\/120 - k**5\/5 + 25*k**4\/24 - k**3\/6 - 8*k**2 + 33. Let x = -8 - 6. What is the units digit of y(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -64*t - 11. Let z(y) = 38*y + 7. Let c(p) = -3*o(p) - 5*z(p). Let n(b) = 0*b + 0 + 2 - b. Give 3*c(u) + 4*n(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be (189\/2)\/(2\/4). What is the greatest common factor of t and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6885)\/(-340)*11\/((-165)\/20)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 276461043.\nAnswer: 3, 92153681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -974\/203 + 36\/7. Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) be the first derivative of 2*d**3\/3 + d**2\/2 + 9*d + 25. Calculate the remainder when i(-4) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.5 and -0.015.\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.2 (b) -2 (c) 1727 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/2430 and -127\/122719374.\nAnswer: 613596870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 + 7. Suppose -3*c + 5*i = -50, 0*i + 2*i - 42 = -z*c. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*s + 62 = -134*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39992, -65055, -90118?\nAnswer: -115181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 160 and 720.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10778819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/459458 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 198494 is divided by 1668.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/4)\/(7\/7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 416\/(-936)*87\/(-290)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 118593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -2*w**2 - 44*w + 10. Let d be n(-22). Suppose 3*t = 3*y + t + d, -5*y = 5*t - 25. Let m = -18.8 + -56.2. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 - 55*j**2 - 264*j - 8. Let d(f) = -22*f**2 - 132*f - 3. Determine -5*d(m) + 2*r(m).\nAnswer: 2*m**3 + 132*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 70 divide 385920380?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.062 - -3.062. Which is the closest to 0? (a) 5 (b) f (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -s**3 + 302*s**2 - s**4 + 391 - 199 - 190 to r*s**3 + q*s + c + d*s**2 + p*s**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 2 - -111002113?\nAnswer: 111002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 46.23557104 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-29)\/(2030\/(-28)))\/((-32)\/158) and -81\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:42 AM and 12:34 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 94 = 3*t - 71, 0 = -5*m + 4*t for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = -3*z - 9, 2*s + 19 = -3*z for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mogm when four letters picked without replacement from gogogmmog?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z**5 + 20830*z**4 + 21694445*z**3 = 0. What is z?\nAnswer: -2083, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 16134860 and 7070.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 5*f, -3*r + 4*f + 548 = -0*r. Suppose -4*h - h = -r. Let b = 40 - h. Solve 0 = b*z - z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -5 - 19. What is the second derivative of k*a**2 + 12*a - 64*a**2 + 31*a**2 wrt a?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 4:12 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-245)\/(-6))\/5*(-495)\/770. Which is the fourth smallest value? (a) 1\/3 (b) -3 (c) p (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -17b - 3?\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 1 + -15 + (13 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (3 - 7) + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1088 = -823*v + 827*v. What is the greatest common divisor of v and 44336?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.07 and -1.817?\nAnswer: 1.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*q*u**6 + 22*q*u**3 + 1099*q*u**2 - 20*u**4 - u**2 - 1 wrt u?\nAnswer: 240*q*u**3 + 132*q - 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 100*u**2 + 43*u**2 + 78*u**2 + 2*u**2 - u**2 + u**2 - 9 + 4*u**2 + 9 + (0*u + 0*u - 3*u)*(0*u + 4*u - 3*u).\nAnswer: 224*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4105*v**4 - 1110.\nAnswer: 16420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -v - 8. Let w(t) = -t**3 + 4*t**2 - 5*t + 4. Let k be w(v). Let s be ((-15)\/(-10))\/(6\/k). Does s = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19157 - 191453\/10. What is the common denominator of z and 129\/(-20) - 2\/8?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1069?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 2*a - 40. Let v(d) = 229. Let x(s) = -382. Let w(b) = 5*v(b) + 3*x(b). What is t(i) - 8*w(i)?\nAnswer: 2*i - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the second derivative of g**4\/12 - 5*g**3\/6 + g**2 - 15*g. What is the remainder when 46 is divided by v(8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1271700 and 200.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 AM and 4:53 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -6.01 to zero decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-120)\/(-9))\/4*3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 192859a (base 15) to base 10.\nAnswer: 18354520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 - (-7 - -1))\/((-27)\/(-18)). Let s(m) = 3*m**2 + 8*m**2 - 4 - 10*m + 2. List the prime factors of s(i).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 5 = -2*t + 3*o, -o + 14 = 2*t. Let v(p) = 22*p + 25. Let g be v(t). Let s = g + -133. What is the least common multiple of s and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.09 - 141021666\nAnswer: -141021666.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*u + 7*u + 2073879. Let n = 201293 - u. What is n rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*j**2 - 26*j**2 - 26*j**2 + 95*j**2 - 25*j**2 - 27*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 22 and 0.2.\nAnswer: 22.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -2 + z**2 + 3 - 5*z + 0*z**2. Let n be i(3). What are the prime factors of 4\/(-10) + (-52)\/n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the second derivative of x**6\/45 - 61*x**5\/30 + 337*x**4\/6 - 699*x**3 + 4212*x**2 - 9490*x. Find f such that r(f) = 0.\nAnswer: 4, 9, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-2*(sqrt(72)*-2 - sqrt(72))\/sqrt(6))\/((1*sqrt(1764))\/(-2*sqrt(144) + sqrt(9) - sqrt(9))).\nAnswer: 288*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -12 + 12. Let w(t) be the third derivative of t**5\/60 - t**4\/24 - 7*t**3\/6 - 828*t**2. What is w(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1*755\/10*2. Suppose 0 = -5*n + 25, -i + 79 = -5*n - w. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 194196*b**2*x - 5674*b**2 - 18 wrt x?\nAnswer: 194196*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u = -4*b - 68, 2*u + 4*b + 18 + 14 = 0. What is the remainder when 64 is divided by (-6)\/(u\/74) - 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2292 - 2292.000000194. Round h to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*g**2 + 9*g**2 + 13*g**2 - 10*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5340 + -3)*2\/(-7760). Let r = 1\/485 - x. What is the common denominator of r and -73\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tb when two letters picked without replacement from ttcbbta?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 7, w: 6}. What is prob of sequence wwa?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -29\/715 and -111\/10?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q = -126080.0116371 + 126080. Round q to four dps.\nAnswer: -0.0116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/102736 and -59\/128420.\nAnswer: 513680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -3*i - v - 18, 5*i = -2*v + 5. Suppose 3*g = 15, -b - i*b + 533 = 5*g. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) be the second derivative of -5*o**3\/6 - 5*o**2\/2 - 5*o. Let x be (-70)\/20*8\/7. Let u(r) = -4*r - 4. Calculate x*u(m) + 3*s(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + -2.5. Let x be (-22)\/(-84) + ((-60)\/(-28))\/(-5). What is the second smallest value in -5, x, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*m - 395 = -42*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = d**3 + 77*d**2 - 618*d - 9945. Give k(-83).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3*(2 - 3)*-1. Let u be ((-177500)\/(-12))\/(t\/(9*48)). Round u to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 12*x. Let s(i) = -18*i - 112. What is l(s(z))?\nAnswer: -216*z - 1344","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 12 + 1173*s**2 + 4.\nAnswer: 1173*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*g - 8 + 32 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -5 times -0.5\nAnswer: 2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = u - 1. Let t be f(6). Suppose t*h = -3 - 2. Let q(s) = s**3 - s**2. Let v(z) = 2*z. Give h*v(x) - q(x).\nAnswer: -x**3 + x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1737 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 309989358 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w. Let u(a) be the third derivative of -a**5\/60 + 5*a**3\/6 + 11*a**2. Let q(d) = 4*d**2 - 14. Let z(n) = -5*q(n) - 14*u(n). Calculate z(b(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 585674.3 kilometers to meters.\nAnswer: 585674300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*j + 61 = 217 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 42012 and 30?\nAnswer: 210060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 1 - 6)*(2 - 4 + 1)*(-4 + d + 4)*(1 - 1 + 5*d).\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -4*p + 22, 3*p = -49*x + 50*x + 16. Solve -p*b + 61 - 46 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7017195 less than or equal to 7017291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(77)\/((sqrt(7) + sqrt(7) + (sqrt(7) - sqrt(7)*2))*3 - sqrt(7)) + sqrt(55)\/sqrt(45) + 2*(-1 + sqrt(11)).\nAnswer: -2 + 17*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -13*u**2 - 7*u - 1. Let m(j) = 7*j**2 + 3*j. Let p(r) = 5*m(r) + 2*t(r). Let y be p(3). Let l = y + -54. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 707 minutes before 10:11 PM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 42786808 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -206*d + 2 = -208*d - 2*o, -4*d + 2*o + 20 = 0. Let t(k) = k**3 - k**2 - 1. Let r be t(2). Solve -j - 3 = d*j - r*n, 5*j + 2 = 2*n for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -5, -2\/5, -0.97, 69 in increasing order.\nAnswer: -5, -0.97, -2\/5, 2\/11, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 b when two letters picked without replacement from bbpxb.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -5*h + 23, 0 = -3*h + 5*i - 10 + 39. Factor -43*l**2 - 3*l - 3*l**4 + 5*l**3 + 46*l**2 - 2*l**h.\nAnswer: -3*l*(l - 1)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (-268)\/(-9) - ((-7)\/(-9) + -1) and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(20)\/sqrt(4)*6.\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f = 61*f - 16*f - 1881. Solve f*b + 3*b = -252 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13834\/91 - -1980\/13. What is the nearest to -3\/13 in -4, -0.1, q, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2 + 3*j**2 - 3*j**2 - j**3 + 2 - j**2. Let u(p) = -p**3. Calculate 4*u(r) - y(r).\nAnswer: -3*r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 - 2 - -13)*(2107\/(-28) - 14). Which is smaller: -1072 or x?\nAnswer: -1072","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (154\/(-55))\/(8\/830). Let k = 285 + y. Let g = 107\/100 - -17\/25. Find the common denominator of g and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.412433 litres to millilitres.\nAnswer: 3412.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 102040?\nAnswer: 102040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4738 and 61111?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (5 - (10 + -134)) + 3 - (6 + 14)\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3\/(2 + (-21)\/6). Let l(f) = f**3 + 3*f - 2*f**3 + 3*f**2 + 0*f**3 - 4. Let w be l(3). Put 4, w, u in increasing order.\nAnswer: u, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.01345343 - 0.01342. Round y to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -11*h**2 - 2498*h + 48272. Calculate r(-245).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2960680.\nAnswer: 2, 5, 74017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-14) - 1\/7.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 164 - 1572*o - 164 to the form v*o + s and give v.\nAnswer: -1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(14\/162) - (-6 - 450\/(-70))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -5*y**2 + 5*y + 7. Let s be l(3). Let u = s + 30. Let p(c) = -2*c**2 + 6*c + 11. Let b be p(u). Round b to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 80*a - 86. Determine z(-3).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 371 and 735.\nAnswer: 38955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 124 divide 11598836?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**3 - n**2 + 3*n - 2. What is c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vvvhvssgvvnsn. Give prob of sequence nnv.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 264*s - 269*s - 5 = 0, 0 = -6*m - s - 35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify x**(1\/19)*x*x*x**(-4\/7) assuming x is positive.\nAnswer: x**(197\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 10*m + 1. Give i(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 22027222361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-10)\/(-3) - 2)\/(4\/(-6)). List the prime factors of ((-12)\/(-14))\/(t\/(-98)).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*z + 5*k + 19, -3*k - 1443 = z - 1432 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -212 = 2*f - 218. Solve -7 - 2 = -f*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 719 + -722. Suppose 2*c + 2 = w + 12, 5*c = -4*w + 12. Sort w, 1, -5, g.\nAnswer: -5, g, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*m + 3*p - 47, 9*p + 41 = 3*m - 0*p + 14*p for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 46*b**2 + 36*b + 11. Let p(g) = 57*g**2 + 37*g + 13. Give -4*p(l) + 5*r(l).\nAnswer: 2*l**2 + 32*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((117\/(-468))\/((-12)\/16))\/(10\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 153761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 3*g = 15, 0 = 2*p - p + 3*g + 3. Suppose -2*v + 7 + p = 0. Let f be (0 - 2)\/(v\/4). Sort 2, 3, f in decreasing order.\nAnswer: 3, 2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5\/14 in -1, -0.95, 2, -0.3, 2\/11, 0.023?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3331637634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.31 (b) -3 (c) -2\/9 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36*p - 16*p + 924 = 41*p. What is the smallest common multiple of p and 1672?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b\/((b\/b**(-1\/10))\/b))\/(b\/(b**(-7)*b))*(b**4\/b)\/b**(1\/2)*((b*b\/((b\/(b*b*b**(-1)*b*b))\/b))**48)**(-16) assuming b is positive.\nAnswer: b**(-19213\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + 1991770?\nAnswer: 1991768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 23 = h + 3*x, -3*x - 9 = 0. Factor 6*f**2 - 3*f**3 - h*f**4 + 9*f**5 + f**4 - 6*f**5.\nAnswer: 3*f**2*(f - 2)*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 2*j**3\/3 - 101306*j**2\/3 + 185345006*j\/3 - 28790529234 = 0.\nAnswer: 941, 48771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 1\/2 (b) 1.7 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -4975.108 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 110082345*d**3*u**3 + d**2*u**2 - 20*d*u**3 - 363*d*u**2 - 2*d - 30*u**2 - 15*u wrt d?\nAnswer: 660494070*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40980 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 50626 and 6?\nAnswer: 151878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 8*t + 2501*t**3 + 0 - 2 + 3*t**2 - 5*t + 3. Let u be m(-1). What is u rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + a**3 + 4)*(9*a - 3*a - 2*a) + (-3*a + 0*a + 2*a)*(a**3 - a**3 + 2*a**3).\nAnswer: 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/11, 0.25, -10, -857?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify y*(y*y\/y**(-44)*y)\/y*y*y*(y*y**(-10\/13))\/y assuming y is positive.\nAnswer: y**(627\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = 116.63 + -116.13. Let s be 0 + (-2 - 28\/(-10)). Suppose -5*r + 3*r = 0. What is the nearest to r in s, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -5, 22540, 0.5, -3, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 69*n + 84 - 15 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + 5*n + 3. Let i be a(-5). Solve z - 3*f = -f, -2*z + i*f = -1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 38317 - 33292. What is the greatest common factor of x and 268?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-2))\/8 + (-189)\/(-108). Solve o = 5*u - 23 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -2*b**2 - 9. Let t(c) = c**2 + 4. What is 6*l(o) + 11*t(o)?\nAnswer: -o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 5*r + 11 = 0, -14 = -5*y + 2*y + 5*r. Let q = -438.9113 - -0.5113. Let w = q + 438. Which is the closest to 0? (a) y (b) 3.2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3488 and 0.944?\nAnswer: -0.3292672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -2*y**3 - y**3 - y**3 + 17*y**3 + 9. Let j(l) = -3*l**3 - 2. Determine 2*h(s) + 9*j(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 c when four letters picked without replacement from qqcqqqqqcqqqqcqccqq?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 10776 a factor of 342590592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 494, -0.1, 2, -5\/6, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 + 1 = 2*m. Suppose z + 4*u + 20 = -3*z, 0 = 3*z - u + 35. Which is smaller: m or z?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14944.25 rounded to the nearest 100?\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b - 379710 = 134298. List the prime factors of b.\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the third derivative of 14*d**7\/135 + 7*d**6\/135 + d**5\/135 + 27*d**2. Determine g so that f(g) = 0.\nAnswer: -1\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-360)\/100*(-3)\/9*45\/(-117).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 41 - 38. Let m be (y - (-36)\/(-8))*-2. Solve -15 = -m*t - 0*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 5\/14 of a week?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 75*x**3 - 2*x**2 + 2. Let t be j(1). Suppose -4*m - z + 49 = 0, 0*m + 5*m - t = -4*z. Calculate the greatest common divisor of m and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(-2\/5))**38*(s**(-1\/4))**28*((s\/(s\/(s*s\/s**(-3\/4))))\/s*s\/(s\/(s*(((s*(s**(-4\/9)\/s)\/s)\/s)\/s)\/s*s*s)))**31 assuming s is positive.\nAnswer: s**(4549\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -68858280 divided by -2\nAnswer: 34429140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 432, 1832, 4198, 7530?\n\"Answer: 483*t**2 - 49*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -7198 + -5c8?\nAnswer: -7793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 46 and 390.\nAnswer: 8970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 82*s - 69*s + 221 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (42\/35)\/(((-24)\/5)\/(-6))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 4, y: 2, w: 2, t: 1, j: 1}. Give prob of picking 1 w and 1 t.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + (47 - 9) - (0 - -18).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = 2227*l + 260. Is p(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 smaller than 13\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/(-2)*(-3 - 135\/(-25)). What is the hundreds digit of z\/(-14) - (-1 + 10505\/(-77))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-100)\/(-15) + -5)\/(5\/126). What are the prime factors of 10\/(-105) - (-28270)\/d?\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = 2*z. Suppose 2*o - 1 + 12 = 3*t, 3*o - 2*t + 4 = 0. Let w(r) = -3 + 1 + o + 7*r. Give b(w(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 2655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 2*g + 46 = 0, -6*r + 3*g + 60 = -r. Suppose -r*y = -24 - 21. Let c = 4 - 9. Sort y, c, -3 in ascending order.\nAnswer: c, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 61 - 57. Suppose -5*u = -p*u - 3. Suppose 5*f - 18 = -3*i, 4*i + 4*f = -0*f + 16. What is the highest common factor of u and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -197*m - 5903947 = -214*m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 78*x**3 - 3*x**2 + x + 1. What is z(1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = -f**3 + 7*f**2 - 10*f. Suppose s - 3*j - 7 + 0 = 0, -8 = -s + 4*j. Let r be d(s). Solve -l = l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 15 + 1 = 3*d, 0 = f + 5*d. Let w be -6*((-3)\/2 + 2). List the prime factors of (2 + f)*w\/4.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u**2 - 7*u + 11. Let v = -26 + 26. Suppose v = -0*q + 3*q - 3*b - 18, -3*q - 3*b = -12. Let g be r(q). Which is greater: -3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 3.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36342810 divided by -287.\nAnswer: 126630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 227*x**2 + 133*x.\nAnswer: x*(227*x + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2450 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-6)\/((v*v**(-7\/2)\/v)\/v*v)*v**4\/((v*(v\/v**0)\/v)\/v))\/((v*v*(v**13*v)\/v)\/(v\/(v\/v**(-3))))**(-18) assuming v is positive.\nAnswer: v**(651\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15073*r**2 - 15412*r**2 + 30498*r**2.\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 10 - 1 - (93 - (1 + 33 - (450 - 439)))\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1)\/(4 - (-294)\/(-70)). Solve -20*a + 23*a = -q + 8, 0 = -j*q - 4*a + 29 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -8 by 16424.\nAnswer: -1\/2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -o - 8, -2*o - 11 - 14 = -3*i - 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32\/198 + (-41)\/(1476\/8) + 64511\/1023.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.11149152 + 0.1116. Round a to 5 dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (19 - 19 + 2*y**3 + y)*(-1262*y - 34 + 9 + 25).\nAnswer: -2524*y**4 - 1262*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 18 = u, -5*u + 18 = -3*z - 4. Let c(y) = 5*y**2 - 3*y + 1. Give c(u).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(153) + sqrt(17)) - sqrt(17)*1*5)*6 + (2*sqrt(85))\/sqrt(5) + (sqrt(1088) + 0 - sqrt(1088)))**2.\nAnswer: 502928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -69 - (1 - -78 - 112)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8 + 21*h + 23*h - 18*h + 2*h - 7*h.\nAnswer: 21*h - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 96\/100*5\/(-2)*-5. Let o be 1*(-1 + 0) + 26. Suppose a - o = -4*a. Solve 8 = -a*i - x for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -145 - -225 - (-9 - -77)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p - 286 = -3*z - 6*p, 5*z - 440 = 4*p. Suppose 2 = -9*g + z. Solve 0 = -4*t + 10 + g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-51)\/(-9) + (-2)\/(-6). Suppose 114*k - 120*k + 72 = 0. Solve -n - 2*u = -4*u + k, 2*n + 2*u = r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, p: 3, v: 5, t: 1, c: 1}. What is prob of picking 1 c, 1 l, and 2 v?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 2 - -15 - (0 - -5) - (-1 - (-126 - -33))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -247, 24761 in increasing order.\nAnswer: -247, -1, 24761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -550 + 1028. Suppose 14 = -4*i + l. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1014568509?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21480096.\nAnswer: 2, 3, 11, 20341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 34621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 985.\nAnswer: 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 684.13234 to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 523838 and 11594?\nAnswer: 5762218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 + 2 = -36*z - 7. Let q(p) be the third derivative of 0 + 1\/105*p**7 + 1\/3*p**3 + z*p**4 + 0*p**6 + 6*p**2 + 0*p - 1\/15*p**5. Let q(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) be the first derivative of -19*m**6\/30 + 5*m**4\/12 - 17*m + 6. Let n(c) be the first derivative of o(c). What is the third derivative of n(b) wrt b?\nAnswer: -456*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 606610, 1213213, 1819816, 2426419?\nAnswer: 3033022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aneneananaaeeanaana. Give prob of sequence en.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2\/8)\/((-2)\/(-24)). Suppose -r*n + 4 + 11 = 0. Suppose 0*b - n*b + 20 = 0. What is the least common multiple of 2 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22 + -128 + (23 - 0) + (22 - 4).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sbe when three letters picked without replacement from bvvsvevs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1844245099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -6*b + 7*b + b**2 - b. Let q(p) be the first derivative of 8 - 1 + 11 - 13*p**2. Determine q(z(v)).\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -25*d**4 - 176*d**3 + 7*d**2 - 2*d + 2184 wrt d.\nAnswer: -600*d - 1056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from taaaaataaaaataaa. What is prob of sequence tta?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3 + (-2 - -2 - 0). Let c be -1*0*z\/12. Suppose 3*y = -c*y. Is 6\/13 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) be the second derivative of 0 + 1\/4*o**4 + 0*o**3 + 0*o**2 - 6*o. Let q(f) be the first derivative of -f**3\/3 - 1. Give q(n(c)).\nAnswer: -9*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 4 - 5)*(1 + 2*f - 1) + 0*f - 4*f + f - 4*f + f - 4*f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1702?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + 5*z = 21, -15 = -5*z + 5. Suppose 5*l - 130 = -5*f, 4*l + b = f - 15. Let d = f + -29. What is the fourth smallest value in -3, d, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2. Let f be l(-2). Suppose -27 = 5*j - 2*z - 9, -3*j + f*z = 8. What are the prime factors of 3\/j + 440\/32?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.02? (a) -5 (b) 0 (c) 8589\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 6, m: 3, d: 8}. Give prob of sequence hd.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 9*n**3 + 3*n**2 - 6*n + 7. What is the units digit of s(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9.8 - 7. Let d = 25 + -22. Let s = g - d. What is the third smallest value in 0, -5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 14 + -10. Let b(h) = 3*h - 5 + 2*h**2 + h**3 - 4*h**2 - 2*h**2. What is b(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 - 2 + 0)*(o**3 - 3*o**3 + 5*o**3)*(o - o + 2*o) to n*o + b*o**3 + v + j*o**2 + l*o**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1229220 is divided by 409738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -7.375 and 0.2?\nAnswer: -1.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2542.3 + -2542. Which is the closest to 0.03? (a) 5\/3 (b) -4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 2 = 36. What are the prime factors of x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -833456.\nAnswer: -2500368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*k + 2*c + 9, -18*c - 12 = 4*k - 17*c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**27*v\/v**(-12\/13))\/((v*v**(-3\/23))\/(v*((v\/((v*v**(-5\/7))\/v))\/v)\/v)) assuming v is positive.\nAnswer: v**(60211\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 13*m**2 + m**3 + m**3 - 2*m**3 + 2*m**3 - 4*m**4 in the form f*m**2 + h*m**4 + g*m + x*m**3 + c and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 586 + 0?\nAnswer: 586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -168 at least as big as -2186\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7637 is divided by 517.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 11*w + 5. Suppose -7*d - 4*d + 55 = 0. Let p(o) = -5*o - 2. Give d*p(l) + 2*g(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8601685790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2230, 9334, 21370, 38332, 60214, 87010?\n\"Answer: -r**3 + 2472*r**2 - 305*r + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vhvhbbhhddrdbvvbvhvd. Give prob of picking 1 h and 1 d.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -106 + 1168\/11. Which is the third smallest value? (a) q (b) 3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4138, 8256, 12582, 17116, 21858?\nAnswer: 26808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -375, 1, -3 in ascending order.\nAnswer: -375, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 92*w**2 - w**3 - 57*w**2 - 38*w**2 - 26 to the form u + c*w + d*w**2 + a*w**3 and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29100 is divided by 1264?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -2\/17 (b) -269 (c) -482 (d) -0.74 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70258.\nAnswer: 2, 35129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*r = 13*r + 102. Let x = r + 29. What is the third biggest value in -3, 1\/5, 3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + 3*k**2 + 5*k - 9. Let s(r) = -4*r + 180. Let l be s(44). Give f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3018, 3.2, -19, -22 in increasing order.\nAnswer: -3018, -22, -19, 3.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0*(-1)\/2*1. Solve g*j = 2*t - j - 6, -2*t - 3*j = -22 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -188681, -378058, -567435?\nAnswer: -756812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 86 - 86 + 8*m**2 + (-2*m**2 + 0*m**2 - m**2)*(3 + 0 - 1) + (-3*m + 3 - 3)*(-m + 4*m - m) to the form f + l*m + n*m**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -8 + -23377?\nAnswer: -23383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/120636 and 167\/1080.\nAnswer: 1206360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 53851281789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 491013 is divided by 402?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.006363547556 rounded to 7 dps?\nAnswer: -0.0063635","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 + (34 - (-6 + 19))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.4, 0, -51?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the second derivative of -181*j**4\/12 + 109*j**2\/2 - j + 242. Find the first derivative of z(w) wrt w.\nAnswer: -362*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/4, 0, -293852, 0.05 in descending order.\nAnswer: 3\/4, 0.05, 0, -293852","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 141 minutes before 9:08 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (216 + -209 - (11 + 1 + 1)) + -8?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 4*q. Let t(r) = 16*r - 910 + 910. Give t(g(l)).\nAnswer: 64*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -26 - -29.2?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 21025*l**5 + 62495*l**4 + 61339*l**3 + 19297*l**2 - 568*l + 4.\nAnswer: (l + 1)**3*(145*l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 70 = 2*c, 2*c - 6*c = -h - 4. Suppose 0 = -o + 4*d - 6*d - 2, -o + 5*d = -26. Calculate the lowest common multiple of h and (2\/o)\/((-6)\/(-72)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 138*b**3*y**2*z - 8*b**3*y*z - 12*b**3*z + 17*b**2*y**2 + b**2*y*z + 748*z wrt b.\nAnswer: 828*y**2*z - 48*y*z - 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*b + 5*d, 2*b + 3*d - 45 = -36. Let n(c) = 2*c**3 - 7*c**2 + c + 1. Calculate n(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**4 + 22*k**3 - 54*k**2 - 22*k + 56 = 0.\nAnswer: -1, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 2*t**3 + 20*t**2 - 61*t - 23. Calculate j(-13).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) be the third derivative of s**6\/180 - s**3\/2 - 3*s**2. Let l(z) be the first derivative of v(z). Let h(o) = 2*o. Calculate l(h(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 5*l + 4829 = 4117, 0 = -q - 3*l + 704. What is the remainder when q is divided by 168?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174 = -y - 4*c - 0*c, 338 = 2*y - 2*c. Calculate the highest common factor of y and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1815 divided by -5\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hovvzhxz. Give prob of sequence zz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -31*z**2 - 6*z - 18. Let q(d) = 92*d**2 + 17*d + 53. Let b(a) = 6*q(a) + 17*t(a). What is the derivative of b(p) wrt p?\nAnswer: 50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(1\/2)\/(w\/w**9))**(5\/4) assuming w is positive.\nAnswer: w**(85\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/q**(2\/5)*q))\/q)**45\/(q\/(q\/(q*q**14))*q**(6\/13)\/q) assuming q is positive.\nAnswer: q**(-1124\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 127 = -17. Calculate the remainder when o is divided by 40\/(-30) + 61\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 243 a factor of 669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**2. Suppose -4*n - 1 = 3. Let c(d) = 8*d**2 + 3 - 5*d**2 + 0*d**2 + d**3. Let u(t) = n*c(t) + 3*g(t). Differentiate u(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (2 - (-6)\/(-3)) + -18. Let b be (-3)\/6*-4 + x. Let n = -10 - b. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -10062904658 and 1382.\nAnswer: -10062903276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 18 and 3744.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 5*o - 4 = -2*a, 2*o + 2 = 2*a. Let f be (-2 - -1)*a + 21. Suppose 12*x - 16*x = -f. Calculate the smallest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21 + 22. What is the third smallest value in 1\/4, -2\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g - 3*g + 61*j = -6*g - 51, 2*g = 3*j + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 365*q - 1071. Calculate n(2).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -9, 3\/4, -3\/43, -0.4 in descending order.\nAnswer: 3\/4, 0.7, -3\/43, -0.4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 2*r = 2*o + 16, 0 = 3*o - r + 20. Let y(n) be the second derivative of -n**3\/6 - 2*n**2 + 14*n. Calculate y(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1436, -11590, -39384, -93716, -183484, -317586, -504920, -754384?\nAnswer: -1074876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 11:46 PM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2 + 2. Suppose m = 2*u - 3*u - 3*v + 18, 0 = -3*u - 2*v + 19. What is the second derivative of -2*f**u + 5*f + 0*f**3 - f - 3*f wrt f?\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20987 = 102*w - 16703 for w.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 11*n = 18, 0 = 5*m - 16*n + 21*n + 30 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1957 - 1864. Solve 0 = 37*n + y + 129 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92*m - 8 = 90*m. Factor 4*o**m + 7*o**4 + 4*o**5 - 130*o + 33*o**4 + 360*o**2 + 184*o**3 + 454*o + 108.\nAnswer: 4*(o + 1)**2*(o + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*r + 13 = -17. Which is the third biggest value? (a) r (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 549 minutes after 1:32 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 901247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 980 = 141*x - 21*x + 20*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1297 divided by 78417?\nAnswer: 1297\/78417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 + 26 = -o. Let s = -13 - o. Find the second derivative of 4*r + 11*r**2 - r - s*r wrt r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.696 and -343?\nAnswer: 342.304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v**2 - 6*v - 7. Let b be y(-5). Is -2 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 153483.78 months?\nAnswer: 127.90315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3 - (82 - (-19 + 28))\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s. Let q(a) = 10*a + 1. Let w(l) = -4*b(l) - 2*q(l). Let o be w(-1). Solve 3*r - o + 2 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -630 + 632. Solve -3*d - i = -4*p, 2*p - 5*d = 3*p + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 48\/20*140\/(-728)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1010502 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -13*v + 6 - 16*v + 2*v**2 - 20. Let o be t(15). List the prime factors of (-3)\/(-3) + (180 - (3 + o)).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35 - -36. Which is the fourth biggest value? (a) l (b) 2 (c) 1\/16 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**3 + 37*q**2 + 39*q - 40. What is n(38)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2287*r**3 - 10*r**2 - 108636 wrt r.\nAnswer: 6861*r**2 - 20*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 5.7 - 6.2. Let i = -3.05 + 3. Which is the second biggest value? (a) g (b) -3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ywabb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-875)\/(-70))\/(-25))\/(4\/184)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1044977546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2*o - 8. Let m(s) = 3*s + 9. Let q be (1\/(3\/6))\/((-20)\/(-2110)). Suppose -6*d + 241 = q. Determine d*v(x) + 4*m(x).\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 3, g: 1}. What is prob of sequence eege?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**3 + v + 1. Let g(u) = 5*u**3 + 7*u - 2. Let h(l) = 6*a(l) - g(l). List the prime factors of h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pip when three letters picked without replacement from {n: 5, i: 1, p: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -44 + 46. Suppose w - 12 + 1 = -4*o, -p*w + 5*o + 48 = 0. Suppose 270 = 4*r + l - w, 148 = 2*r + 4*l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25094971 to the nearest integer?\nAnswer: 5009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18083.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 575, -14, -21, -4 in descending order.\nAnswer: 575, -4, -14, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -156364 or -156378?\nAnswer: -156378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.637 or 0.0833?\nAnswer: 0.0833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q - 3*c = -c + 6, 5*q - 2*c = 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-2*sqrt(136)*4*-2)\/(sqrt(24)\/sqrt(3)*-1 - sqrt(80)\/(-3*sqrt(10))).\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 10*1\/(4\/2). Suppose -2*r = g + 7, 6 + 18 = 3*g - 3*r. Let q(v) = -3 + 9*v**3 + 0 + 4 + 7*v - 10*v**g + 4*v**2. Determine q(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m*m*m**35))\/m*m*m**(2\/93))**(-2\/13) assuming m is positive.\nAnswer: m**(6878\/1209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = -996 + 1106. What is the smallest common multiple of v and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/7 or -6574?\nAnswer: -6574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 2*f = -132. Let y = 77 + f. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 214159160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8496)\/3894)\/((-136)\/(-44))?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 1 (b) 1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 56 - 48. Let r be 56\/6 - l\/24. Suppose 5*a = 5*b - 2*b, 4*b - 29 = -3*a. Solve 3*f = -a*o + r, 4*f - 3*f - 5*o + 21 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 5, p: 2}. Give prob of sequence eepe.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -42, -0.197, -4, -3 in descending order.\nAnswer: -0.197, -3, -4, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 522027 > 521977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + q - 106 = 3*w, -96 = -2*w + 4*q. Let v(h) = -2*h**3 + 17*h**2 + 18*h - 87. Let l be v(9). Let t = w - l. Does 11 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -15*j + 1. Calculate b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43 greater than -297939\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.8 * -4.5235.\nAnswer: -12.6658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 34991 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = q - 8. Suppose 0 = -5*r - q*c + 45, -4 - 53 = -5*r + c. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 395805.7km?\nAnswer: 395805700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 184 (base 10) to base 2.\nAnswer: 10111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -8, 28 in descending order.\nAnswer: 28, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 + 178b?\nAnswer: 1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000460386 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.51 - 0.1.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 19, -0.3.\nAnswer: -4, -0.3, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 1087*c - 5. Let w(r) = 3263*r - 13. Calculate -3*w(x) + 8*z(x).\nAnswer: -1093*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1047 - 1049. Which is the nearest to 4\/15? (a) -3 (b) -0.3 (c) 1\/9 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(5 + (-2*sqrt(1053))**2 + sqrt(1053) - (-1 + (sqrt(1053) - (0 + sqrt(1053))))**2).\nAnswer: 45*sqrt(13) + 21080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 2*l + l**3 + 0*l + 4*l**2 + 1 - 3. Let p = 1 - 3. Determine b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - 5*k + 91 + 51 = 0, 4*k + 826 = 5*s. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1353\/3003 - 4\/13. Let r = -1.9 - -2. Let x be (60\/380)\/((-3)\/4). What is the third smallest value in i, 5, x, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -442451 (base 8) to base 16\nAnswer: -24529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1b3077 - 9?\nAnswer: -1b3082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -1001 (base 14) to base 6.\nAnswer: -20413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1162812418?\nAnswer: 2, 31, 181, 103619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 75\/(-50)*8\/34?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36158 and 3222.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.02 or -36?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dbjj when four letters picked without replacement from ddhhdbhbdddhjjdddj.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2366\/(-266) + 9 + (-204)\/855?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: (988\/(-195))\/19*6\/4\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-370)\/(-666)*(-9)\/(-1)*(-64)\/(-18240)?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9\/52891216 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 10 a factor of 701604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -1.5536 to two dps.\nAnswer: -1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*m**2 + 7*m**3 + 27*m - 11*m**3 - 43*m**2 + 33*m**2 - m**4 to k*m + v*m**3 + t*m**4 + u + y*m**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = h + 6. Let x be i(-5). Suppose -k + 2 = -x. Let o = -4.91 - 0.09. What is the smallest value in o, k, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -574 - -289. Let n = h - -402. Let i = n - 108. What is the smallest common multiple of 11 and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16440205 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31 = 15*f - 352 - 54. What is the lowest common multiple of 1175 and f?\nAnswer: 1175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c\/(c**(-1)*c))**42\/(c\/(c\/c**3*c)*c**(1\/8)))**34)**30 assuming c is positive.\nAnswer: c**(81345\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let 552\/5 - 284\/5*q + 4\/5*q**2 = 0. Calculate q.\nAnswer: 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/3476 and -57\/316.\nAnswer: 3476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = 36.8 + -43. Is -1 > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 2 - 2*i)*(-4*i + 2*i + i) + 6*i**2 + 20*i**2 + 13*i**2)*(2 - 3 - 1).\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6\/9 + 19\/3. Suppose t = -r - 5. Let f = r + 23. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9339.4717 rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 473 + 459 + 20*h - 916 as t*h + a and give t.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = a**2 - 16*a - 3. What are the prime factors of u(18)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) be the third derivative of k**6\/780 - 6*k**5\/65 + 81*k**4\/52 + 10421*k**2. Find l, given that t(l) = 0.\nAnswer: 0, 9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17370.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 PM and 12:41 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2900416501.\nAnswer: 349, 659, 12611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84 = 5*q + 3*f, 27 = 28*q - 26*q - f. Calculate the highest common divisor of q and 615.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8081 + -8080.8. Which is the second smallest value? (a) g (b) -1\/13 (c) 0.12 (d) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1276*x - 48*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1aa5 (base 14) in base 11?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -371 = -7*s + 532. What is the remainder when s is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of -1\/12*y**4 - 3\/2*y**2 - 2*y + 2\/3*y**3 - 23. Suppose 0 = 4*s - 0*i - i - 20, -s + 5 = -4*i. Give v(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 + j)*(2*j**2 + 0*j**2 + 0*j**2) + 487*j - 487*j + 17*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285 is divided by 96?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 1 - (10*-1 - (-112)\/(-42)*-3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(88)*5)\/(sqrt(24)\/sqrt(27)).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 2120446 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 54838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -132313 (base 6) to base 10.\nAnswer: -12213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.18 times -6?\nAnswer: -1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -4553970 to the nearest ten thousand.\nAnswer: -4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*p - 4*p - 12. Is (-46)\/p*(-29 - 5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.2 - -5.2. Let f = 0.1 - 0.3. What is the nearest to v in 2, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*c + 2 - 48 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ne when two letters picked without replacement from {b: 1, w: 5, e: 1, a: 1, n: 7, k: 5}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 PM and 3:20 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 22257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o = -38 + 8. Let h(w) = -3*w + 18. Let q be h(o). Suppose -g + 127 = -m, 3*m + m - 353 = -q*g. What are the prime factors of g?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -4 + (46\/(-69))\/(1\/36). Is (23338\/(-56))\/(1\/w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 353495 is divided by 114346.\nAnswer: 10457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17 + 18)*(-8 - -23 - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -607*d - 3. Is g(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/23)*x**(3\/20))\/(x\/(x\/x**(-14)))**(-12) assuming x is positive.\nAnswer: x**(-77171\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 102? (a) -1.5 (b) -9 (c) -1\/4 (d) -19 (e) 31\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(567) - 2*sqrt(567)) + 3)**2*-3 + -3 + (sqrt(252)*2)**2 + sqrt(252) + -1 + -5.\nAnswer: -729 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 18401 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-506 + 256 + 249 - 1688*i)*(2*i**2 - 5 + 5) to t*i**3 + o*i + y + a*i**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uhhu when four letters picked without replacement from {h: 5, u: 11}.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1035*t**2 + 619*t**2 + 105436 - 105438 to x*t**2 + d*t + v and give x.\nAnswer: 1654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11457 is divided by 3216.\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of v**2 + v + 3. Let h be u(3). Let x be (2 + (4 - h))*-3. Solve -x*n - s + 5*s + 20 = 0, 0 = n + s - 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 2*f**2. Suppose 6 = -u, -5*q + 7*q = 3*u + 26. Let t(n) be the second derivative of 1\/2*n**2 + q*n + 2\/3*n**3 + 0. Give j(t(x)).\nAnswer: 32*x**2 + 16*x + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from mwwkxxmxmww. What is prob of picking 2 x and 2 m?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, q: 2, a: 3, z: 3, o: 3}. Give prob of sequence nn.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -14*p**2 - 8*p. Let i be ((36\/8)\/(-9))\/(2\/(-116)). Let m = i + -52. Let t = 15 + m. Let v(l) = -9*l**2 - 5*l. Determine t*v(u) + 5*z(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -190 = -2*z - 6. Is z - 2\/((-2)\/3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g - 2*g + 4*g)*((-7 - 1 + 2)*(-4*g + 2*g + 0*g) + 2*g + 1 - 1) + (-3*g + 6*g - g)*(-3 + 3 + 4*g).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 908 - 1096. Which is the biggest value? (a) 2 (b) 2\/5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1023263011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1 + 0 - r**4 - 7*r**4 + 6*r**4 with respect to r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11 + -21 - -8 - (4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -5*g**2 - 44*g - 30. Give q(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 33*b**3 + 3*b**2 - 41 - 26*b - 32*b**3 - 15*b**2 + 15. Let t be y(14). Solve t*h + 9 = -1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhchchhchwhhhscs. Give prob of sequence hscw.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 1 = s - 0, 0 = -3*s - j - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2.92 (b) 7 (c) 0 (d) 2\/9 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -2*q**2 - 20 - 28 + 11*q - 16 - q**2 + 81 in the form j*q**2 + w + x*q and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/((-32)\/(-8)) - 22\/3)*(-516)\/8.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the third derivative of -7\/2*y**3 + 122*y**2 + 0*y + 11\/12*y**4 + 0 - 1\/60*y**5. Suppose r(s) = 0. Calculate s.\nAnswer: 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the first derivative of -h**3 + 6\/5*h**5 + 0*h + 5 + 3\/4*h**4 + 0*h**2. Solve a(n) = 0 for n.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10153?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 156 + -1402\/9. Suppose -4*x = -7*x - 2*p + 1, 0 = -3*x - 3*p. Suppose 3 = -2*n - x. Which is the closest to n? (a) 8\/5 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((5\/(-5))\/3)\/((-3)\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.8 - 3.29. Let t = -5.09 - x. Let v be 2\/(-9) + 32\/63. What is the closest to 2\/7 in t, v, -0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*u = 117 - 127 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100111110 - 100001011100?\nAnswer: -100110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 12 - 6. Let r(s) = -13*s - 67. Let l be r(-5). Let a be (-5)\/(-5) - 3 - l. Solve 2*x - 4*x - t = a for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3241342718 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 2417 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4242 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -34070 and -11?\nAnswer: 374770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -7*(3 - (-162)\/(-63))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3242 + 3242.5. What is the fourth biggest value in 0.1, -1\/4, 37, i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x + 3*k + 12 = 0, 7*x - 4*k + 28 = 9*x. Solve 3*z - 10 = x*z + 2*i, 5*i = 5*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -16273157709 and -8?\nAnswer: 16273157701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 20120 - -233?\nAnswer: 20353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -2582, -7556, -10690, -7766, 5434, 33128, 79534?\n\"Answer: 703*j**3 - 3298*j**2 - j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 115720103 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zz when two letters picked without replacement from {f: 5, z: 2, s: 3, d: 9}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4 - 42\/7 - -8. Suppose 4*g - 2*f = 24 + q, -5*g + 5 = 4*f. Solve 0 = -g*y - 5*y + 50 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uu when two letters picked without replacement from uee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 95 + -93. Suppose 5*a - 3*w = 1520, t*w - w - 312 = -a. Suppose -5*q + a = 27. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2280)\/420*(-15)\/((-60)\/(-56)).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35 = 3*q - 5*s, 3*s = 2*q + 2*q - 32. Let i(w) = -q*w + 8*w - 6 + 16*w + w. Is i(3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*l**4*u - 731*l**2*u**2 + 2*l*u**2 - 112*l*u - 13 wrt l?\nAnswer: 60*l**2*u - 1462*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 752944627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*d - 74*d = -138 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*3*((5 + sqrt(363) + -1 + sqrt(363))**2 + 3 + (-1 + sqrt(363) - sqrt(363))**2 + 2 + sqrt(363) + 0 + 1 + sqrt(363) + 2).\nAnswer: -13293 - 1782*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, e: 1, r: 4, z: 8, o: 1, s: 1}. What is prob of picking 1 s and 1 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -2 + (-14 - -5) - (9 + -12) - 4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**2 + 3*l**2 - 3*l**2 + (84694913 - 7076*l - 84694913 - 1 + l + 1 + (4*l - 5*l - l)*(-2 + 3 + 1) + 1 - 1 + 2*l + 3*l - 3*l - 2*l)*(-2*l - 2 + 2).\nAnswer: 14156*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from {p: 1, o: 19}.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*j + 78*j - 344 = 72 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 4409\/(((-16)\/14 + 37\/259)\/(-29)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**3 - 16*q**2 - 5*q - 10. Let c(x) = x**3 - 15*x**2 - 5*x - 8. What is 4*b(n) - 5*c(n)?\nAnswer: -n**3 + 11*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = k**3 - 7*k**2 + 4*k + 14. Let i be u(6). Let g(m) = -16*m + 30. Let t be g(i). Is t less than -11\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j - 4*j + 48. Suppose -3*m = -2*m - j. Calculate the lowest common multiple of m and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 439 + 419 = -44*v - 34*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**3 + 8*o**2 + 10*o - 17. Suppose -5*k + n = -767 + 799, 2*k - 3*n + 5 = 0. Calculate v(k).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6568552*g*s**3 - 13202*g + 2*s**2 - 315 wrt s?\nAnswer: -39411312*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 426747972 to the nearest integer?\nAnswer: 20658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17)*-3*-1 - -4*sqrt(425))**2 + (sqrt(17) + -2 + sqrt(17)*-2 - sqrt(17) - sqrt(17) - (sqrt(68)*3 - sqrt(68))\/sqrt(4)).\nAnswer: -5*sqrt(17) + 8991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -2*n**2 - 77*n + 692. Calculate j(-46).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 25*s = 30*s - 42578, 2*y - 4*s - 42614 = 0. List the prime factors of y.\nAnswer: 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 416 - 421. Let s(f) = -f**3 - 4*f**2 + 5*f + 2. Let l be s(q). Solve 0 = m - 0 - l for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + t = -29, -4*d + 0*t + 3*t - 27 = 0. Let r(j) be the first derivative of -j**2 - 3*j - 1. Is 9 a factor of r(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 26838 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*z**4 - 438\/5*z**3 - 2676\/5*z**2 - 5384\/5*z - 720.\nAnswer: 2*(z - 225)*(z + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 541251a (base 11) to base 16.\nAnswer: 914342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00024564 to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 6, -2\/13, -668\/9, 4, -4, 2\/11, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**2 + 3*g + 3. Let b(w) = 9*w**2 - 4*w - 11*w**2 + 14 - 18. Let z = 7 + -10. Let q = 4 + -6. Give q*b(m) + z*v(m).\nAnswer: -2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -4*y - 20, -3*y + 4*y + 5 = -5*p. Let w(f) = f**2 + 3*f + 5. Let k be w(y). Solve -k = 5*o - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 25181646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i**3 - 10*i**2 + i - 5. Determine s(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -31750*q**2 + 2317743*q + 517. What is d(73)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 5 = 5*v, v - 3*q = -4*v - 25. Let o = 3 + v. Let j = o - -5. Solve -p = 2*i + p, -5*p = -i - j for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -4024 and -1.49.\nAnswer: -4025.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + 2*o + 1340. Let z = o + 1873\/7. Suppose -24*p = -25*p + 1. Is p equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/595 and 41\/551?\nAnswer: 327845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11a - -2?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 6*b - 2*b = -76, 4*b + 46 = y. Let a = y - 21. Let f(s) = s**3 - 10*s**2 + 10*s - 7. What is f(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -23*o + 3. Calculate z(2).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -16 + -5. Find the common denominator of -11\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 + -10. Let n be (1\/(-1))\/(c\/(-30)). Solve -4*f - n*s = -10, 2*f = -2*s - 1 + 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 41\/4 - (-2)\/(-8). Let r = -4 + k. What is the greatest common factor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7326 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -19*d**2 + 2. Let j(f) = -38*f**2 + 4. What is 4*j(l) - 9*p(l)?\nAnswer: 19*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*l = -9*l + 276. Put 4, l, -4 in ascending order.\nAnswer: l, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(110)*1*-3)\/(sqrt(360)*4 + sqrt(360) - sqrt(360)) + 4.\nAnswer: -sqrt(11)\/8 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -4*k - 3. Suppose 0 = y + 2*y + k*q - 32, -3*y + 17 = q. Calculate the common denominator of (2\/42)\/(y\/(-237)) and 45\/22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -44 - -37.4. Let t = l - -7. Let v = -1.07 - -1.17. Which is the third smallest value? (a) t (b) v (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 57\/608 - 8*8\/(-43008)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 1521 = -h + 1568, -4*v + 15381 = 5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the third derivative of -3*x**2 + 0 + 0*x - 2\/15*x**6 - 25\/12*x**4 + 0*x**5 + 0*x**3. What is the second derivative of r(f) wrt f?\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Round 11110230 to the nearest one hundred thousand.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6*(27\/(-6) + 3). Let a = -6 - m. Is (-76)\/(-1) + a - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 5*u + 8, -o = 4*u - 0*o - 2. Solve 6*b - b - 15 = u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*u - m - 15, -4*u + 37*m - 171120 = -170973 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find z such that 4*z**5\/7 + z**4\/7 - 68*z**3\/7 + 127*z**2\/7 - 44*z\/7 - 20\/7 = 0.\nAnswer: -5, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 10599786 - 4?\nAnswer: 10599782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, 31 in descending order.\nAnswer: 31, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 41083, 82071, 123047, 164005, 204939?\n\"Answer: -o**3 + 40995*o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 49\/10 and 41\/636.\nAnswer: 3180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -1006 (c) -3 (d) -0.3 (e) -0.05 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k = 2*k - 6. Differentiate b**3 - 8 + 1 + 11*b**k + 1 wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m + 13. Let h be l(10). Suppose -z**3 - z**2 - z**h + z**3 + 11*z**4 + z**5 - 10*z**4 = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22199570 rounded to the nearest 1000000?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 2. Suppose z = -0*g + g. Find the second derivative of -g*t + 3*t - t + 2*t - t**2 wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 44.99 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 48*z**3 - 2*z**2 + z - 2. Let c be x(2). Let q = c - 187. Suppose 3*h = q + 78. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -90 - -100. Suppose -15*o + 55 = -x*o. Suppose 13*v - o*v = 164. What is the remainder when v is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k = -5*a + 50, -1581*a = -1577*a + 5*k + 14 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11592 and 120.\nAnswer: 57960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 4*b - 4. Let i(p) = -3*p - 9. Let n be i(-4). What is c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1614, 1609, 1600, 1587, 1570, 1549?\n\"Answer: -2*b**2 + b + 1615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 20313?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (25\/20)\/(155\/(-1488)*282).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s. Let i(h) = -20*h**2 + 16*h. Let m = 0 - 16. Let k(p) = -4*p**2 + 3*p. Let y(x) = m*k(x) + 3*i(x). Calculate y(a(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 2. Let k = -351 - -332. Sort j, -4, k.\nAnswer: k, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z + 5*b + 17 + 23, -b = 2. Let t(a) = -1 + z - 6 - a. What is t(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2*8\/10*10. Suppose -l = -3*d - 5, -4*l + 5*d = -50 + f. Let y(w) = w**2 - 6*w - 13. Calculate the remainder when y(l) is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-34)\/55 + 4\/5. Which is the nearest to -1\/3? (a) -1\/5 (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -148988379 - -2243.5.\nAnswer: -148986135.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (54\/80)\/(597\/(-4776)).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -41, -31, -19, -5, 11, 29?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -1 + -1 + 16 + -20 - (35 - 25)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = 5*a + 12, -320*y + 3*a = -322*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*p + 10 = -10*p. Let l(k) be the third derivative of 1\/60*k**5 + 0*k + 5\/12*k**4 + 0 - 46*k**2 + 1\/2*k**3. What is l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 0 + (-3)\/3 - -72. Let i be 3 + 0 - 1 - q. Let d = -46 - i. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 32094 = 5*v - 100158, 3*v - 85067 = -5*d. What is the ten thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 400806 and 1068816?\nAnswer: 3206448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6806, 26912, 60326, 107048, 167078, 240416, 327062?\nAnswer: 427016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78492 + 5*j + 78492.\nAnswer: 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 2*g + 4*c, g - 7*c - 21 = -2*c. Let v be 2\/(g\/(-234))*-4. Calculate the greatest common divisor of v and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1)\/2 + (-14)\/(-4). Let f(k) = k**3 + 143*k**2 - 938*k - 6554. Let v be f(-149). Let l be (-26)\/(-6) - 2\/(-3). Solve l = v*w + o*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.011985071 rounded to five decimal places?\nAnswer: -0.01199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes after 5:44 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ltt when three letters picked without replacement from {l: 1, t: 2, y: 1, u: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/(-10) + (204\/(-10))\/6)\/(5\/(-100)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) 0.3 (c) -8 (d) 5874 (e) 1.1 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 80 + -63 - (4299\/(-92))\/((-11)\/4)?\nAnswer: 2\/253","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d - 33 = 9. Let m = d - -50. What is the remainder when 125 is divided by m?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 123\/146612600 and -107\/146612600.\nAnswer: 146612600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m\/(m*m**(-13))*m**0*m)\/(m**14*m)**(-35) assuming m is positive.\nAnswer: m**539","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -799086 divided by 266362?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 8360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -16, -79, -198, -379, -628, -951?\n\"Answer: -t**3 - 22*t**2 + 10*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 142 is divided by 26\/6*216\/72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(2\/31))**(-9\/2)\/(p*p\/(p*p**(16\/3)*p)*p**(-21)) assuming p is positive.\nAnswer: p**(2422\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j - 7 + 1 = 0. Is 2\/63 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the first derivative of 175*g**3\/3 + 142*g**2 + 199. What is the second derivative of f(s) wrt s?\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 80856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3 + 6. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*h + 11*h + d = 26, 16*d - 17*d - 24 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 15034.27mm?\nAnswer: 1503.427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v. Let m(d) = -2*d. Let j(y) = -2*l(y) - 5*m(y). Let c(o) = 5*o. Determine j(c(a)).\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 220, 545, 870, 1195, 1520?\nAnswer: 1845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 63554*v + 43937 wrt v?\nAnswer: 63554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1006 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: Solve 4*f**2 + 100293204*f + 200586392 = 0.\nAnswer: -25073299, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/325 and -7\/3.\nAnswer: 975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 2845, -5 in ascending order.\nAnswer: -5, -1, 2845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**3\/3 + 11020*k**2\/3 - 2655488*k\/3 + 3481856 = 0.\nAnswer: -11256, 4, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 12 = 0, 115*u - 118*u - 5*z = -20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of 1\/60*s**5 + 11\/70*s**7 + 1\/6*s**3 + 0*s**6 + 0 + 15*s**2 + 0*s**4 - s. What is the first derivative of p(f) wrt f?\nAnswer: 132*f**3 + 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2*40518493\nAnswer: 81036986","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -3969, -15879, -35727, -63513?\n\"Answer: -3969*p**2 - 3*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 301 divide 11885888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1bd + -250?\nAnswer: -42d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 4*c**2 + 11*c - 4. Is h(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-112*v - 12 + 12)*(-6 + 1 + 7) in the form x + j*v and give j.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 10 + 12. Suppose 8*n - 4*n - 8 = 0. Calculate the remainder when n is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -288 (b) 2050 (c) 2\/9 (d) -2\/9 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.09781 + 0.00219. Let r be (4 + 99\/(-24))*2. What is the closest to n in 0.07, 2\/11, r?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1532, -5768, -12842, -22760, -35528, -51152?\nAnswer: -69638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 5870 (base 10) to base 13\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((-2)\/68) - (29843 - 29874).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 88*t - 10. Let o(c) = 261*c - 27. Determine 6*o(g) - 17*y(g).\nAnswer: 70*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bbwqbwwwwbwww. What is prob of picking 4 b?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 5 + -1 - (-5)\/10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1935000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2184339 is divided by 14959?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 63852.25 weeks to nanoseconds.\nAnswer: 38617840800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*v - 3*p - 21, v - 3*p = 2 - 5. Let c be (2\/v)\/(17\/102). Let l(g) = g - 4. Let j be l(7). Solve 0 = -y - c*y + j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 - 4*z**2 + 7*z + 13. Let p be x(-5). Let w(i) = 0*i**p - 3*i + i**3 + 8*i - 14*i**2 - 33 - i**2. List the prime factors of w(15).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -9 - -9.85. Let k = 0.15 + f. Suppose -13*v = -11*v - 6. What is the closest to 0.1 in -0.2, k, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*y + 5*y - 4*y - 1)*(7*y + 0 + 0)*(3 + 2 - 6).\nAnswer: -7*y**2 + 7*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 + 11.02725. Round l to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44576 equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cccbunncnnbncnubccn. What is prob of sequence cub?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than 49\/465628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -2*b**2 - 57*b + 2224. Calculate z(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*b + 7*l - 31 = -25*b, 19 = -b + 3*l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/319 and -69\/1160.\nAnswer: 12760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1028, -1039, -1064, -1109, -1180, -1283, -1424, -1609?\n\"Answer: -z**3 - z**2 - z - 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25470*r*y**3 - 17586*r*y**2 - r*y - y**3 - 3*y**2 wrt y?\nAnswer: 152820*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -38866*s + 38864*s = 4*z - 28, -z + 7 = s for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 3122423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -234, -244, -268, -312, -382, -484?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -87\/21200 and 61\/22525?\nAnswer: 360400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-1148)\/24 + 3 + 11 + 264\/(-18)).\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(2\/3)*t)**(-45))**(-41)*(t\/(t*t**(1\/3))*t*t**(-2\/5))\/((t\/(t\/(t\/(t\/(t*t*t**(-3\/10)*t))))*t*t)\/t**(-7\/4)) assuming t is positive.\nAnswer: t**(294829\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -54, 3, 0.4, 1, -4\/7 in decreasing order.\nAnswer: 3, 1, 0.4, -4\/7, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 + 9. Solve 0 = -3*v + h + r, 2*h - h = -3 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -6*y**2 + 0*y**2 + 6 - 5*y**2 + 10*y**2. What is r(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1344000 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/3639448 and 11\/8.\nAnswer: 3639448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 104*o**5\/11 + 22*o**4 - 1180*o**3\/11 + 1048*o**2\/11 - 4*o - 170\/11 = 0 for o.\nAnswer: -5, -17\/52, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 5\/1062 and -70\/1251?\nAnswer: 147618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/8*21576\/186?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 4*l - l**2 - 2*l**2 - 12 - 14*l + 2*l**2. Let w be m(-9). Is (w + (-10)\/(-4))*-530 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 1*(3 + ((-2*sqrt(20))\/sqrt(4) - sqrt(30)\/(sqrt(54) - sqrt(6)))))**2.\nAnswer: 10*sqrt(5) + 141\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**23*f)**40\/(f\/f**(-16))**(-6\/5) assuming f is positive.\nAnswer: f**(4902\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 190554 is divided by 2165.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the third derivative of x**5\/15 + 2*x**2. Let t be g(-1). Find d, given that -2\/5*d**t - 2\/5 + 8\/5*d + 8\/5*d**3 - 12\/5*d**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor n**4\/3 + 221*n**3\/3 + 12097*n**2\/3 - 4255*n - 8214.\nAnswer: (n - 2)*(n + 1)*(n + 111)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 505 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -16*d**5 - 23*d**4 - 5*d**3 + 11*d**2. Let h(p) = 9*p**5 + 12*p**4 + 3*p**3 - 6*p**2. Let l(k) = -11*h(k) - 6*u(k). Factor l(y).\nAnswer: -3*y**3*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 - 7*u**2 + 11*u - 6. Let l be t(5). Let n = l - -14. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -57887*i**3 + 122677?\nAnswer: -173661*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(153) - -2*sqrt(153))*-6)\/sqrt(9).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 102 divided by -5\nAnswer: -102\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, 0.01, 16, -6147?\nAnswer: -6147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1949 a factor of 9476038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 + 23*p - 26. Let i be y(-13). Is i greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 - -4*1\/(-6). Let g = 64 + -64.1. What is the closest to g in o, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 119, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide 298872 by -105.\nAnswer: -14232\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes after 2:07 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in 6.90592 weeks?\nAnswer: 1160.19456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01487 take away -17827?\nAnswer: 17826.98513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 140 and 270.\nAnswer: 3780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 11*y**3 + 2*y**2 - y - 2. Let x be k(-1). What are the prime factors of (-5)\/(-1) - (x - 44)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(56)\/(-3*sqrt(200)) - (0 + sqrt(49)\/(sqrt(49)\/sqrt(7))).\nAnswer: -16*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -161\/7500 and -97\/740?\nAnswer: 277500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -150 - 9 - 2*n + 0*n - 62.\nAnswer: -2*n - 221","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((8\/(-4))\/2)\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -372 - -1348. What is the remainder when i is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (2078 + 3660 - 6736)*(-2*o**2 + 5*o**2 + o**2) in the form x*o + d*o**2 + s and give d.\nAnswer: -3992","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*w**4 - 51*w**3 - 234*w**2 - 96*w + 384.\nAnswer: -3*(w - 1)*(w + 2)*(w + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 41.046 + -41. Let x = -1.954 - u. Which is the closest to x? (a) -1\/2 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 3, l: 3, w: 1, y: 2, s: 9}. Give prob of picking 1 w and 2 l.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 - 6 = 6*n. Suppose -n*a + 19 - 3 = 0. Suppose a*b - 35 = -3*h + 150, 0 = 2*h + 3*b - 122. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2017049400 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -174*s + 168*s - 12 = 0. Which is the nearest to 8? (a) s (b) 0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.3 - -0.2. Let x = -6 - -5.4. Let v = x - -0.8. What is the third biggest value in v, d, 3\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4991, 0, 66152, -5 in descending order.\nAnswer: 66152, 4991, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**3 + 12*u**2 + 5*u + 64. Let y = -14 - -4. Let x(n) = 5*n**2 + 2*n + 32. Let k(z) = y*x(z) + 4*w(z). What is the derivative of k(m) wrt m?\nAnswer: 12*m**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2117082 + 0.15.\nAnswer: -2117081.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(11) - -2*sqrt(176)).\nAnswer: 1 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 90, 96, 102, 108?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l + 5*y = -0*l + 490, 200 = 2*l + y. Suppose -8*f + 702 = l. Suppose 8*g - 1085 = f. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(-4\/5))\/k**(-9\/8))\/((k**(-3)\/k)\/k*k*k\/(k*k\/k**23*k)) assuming k is positive.\nAnswer: k**(-563\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -15084*g + 24000*g - 1087752 = 0 for g.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -110 (base 12) to base 7.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 35 and 2960.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10100111110101111010 - 10000101?\nAnswer: 10100111110011110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-142 - 169 - 28*f**2 + 342)*(0*f + f - 4*f) to the form t*f**2 + p*f + r + q*f**3 and give p.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -9872 * -5.\nAnswer: 49360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-8323)\/(-435) - 19) + 2\/(-15). Solve 21 = -4*n + c, -83*n + 85*n + 2*c - 2 = u for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 2, 2.6, -6, -5?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*n - 5 = -50 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -83.21805 to one dp.\nAnswer: -83.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) 2\/15 (c) 275 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -208 - 12.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 6 + 128*p - 68*p - 65*p. Let q(x) = 2*x - 2. Calculate 3*k(c) + 8*q(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g - 23*k + 19*k = -26, 0 = 2*g - 3*k + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -323 + 319. Let o be (6\/20)\/((-6)\/16). Which is the closest to 0? (a) r (b) 0.1 (c) o (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 20, -7\/3, 1\/18, 2\/29?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -26 + 51. Sort -3\/8, -1, r in descending order.\nAnswer: r, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -1\/140430 and -109\/682.\nAnswer: 1544730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1 != 8604\/112271?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1\/8 - 1\/8. Let o be 1\/(-5)*(-7 - 88\/(-24)). What is the nearest to o in -2\/9, 5, a?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*y + 3*y + 3*y)*(-6 - 1 + 5)*(-y + 1 - 1 + (7*y + 0*y + 3*y)*(2 + 0 + 1) - 2*y - y + y).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*m - 35 = -4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13112?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 87 - 10 - (-2 + 11) - 7 - 10?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1\/(-2)*5*-2. Let d(z) = 3*z**2 - 2*z + 3. Let f be d(y). Suppose -f = -2*g - 2*g. Calculate the remainder when 50 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.1 > -10443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*u + u + 4*u + (5*u - 2*u + 0*u)*(4 - 11 - 9) + (-10*u + 2*u + 2*u)*(2 - 2 + 1) - 2 + 2*u + 2 to i*u + l and give i.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 79330 or 79321?\nAnswer: 79330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -49231\/22 + 2237. Suppose 5*r = 2*r + 1704. Calculate the common denominator of r\/96 - (-2)\/3 and m.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -4bb + 7?\nAnswer: -4b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -277*i + 5 + 17 + 267*i. Let b be p(2). Solve 10 = -b*u, -y - 3*u - 11 = 7 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) be the second derivative of -d**4\/12 + 2*d**2 - d. Suppose -5*w = -398 + 63. Let i = 70 - w. Calculate v(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 915682 is divided by 233.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k + b - 6*b = 14, 4*k + 8 = -5*b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 4, 1\/3, -1\/232?\nAnswer: -1\/232","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2606, 2610, 2624, 2654, 2706?\nAnswer: 2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 118*y - 2713. What are the prime factors of q(80)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 99699 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1070809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*x + 397 + 1839 = 488 - 696 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 482*r + 25. Let v be h(5). Suppose 0 = 5*l + u - 231 - v, 20 = -5*u. Suppose -f - l = -3*f. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 PM and 6:54 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(108) + sqrt(108)*-2 + 3 + sqrt(108) + sqrt(108) + (-1 + sqrt(108))*6)**2.\nAnswer: -252*sqrt(3) + 5301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6279 is divided by 393?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 14 - 2. Suppose -p*d + 20 = 2*d, 0 = 2*k - 5*d. Suppose -k*s + 14*s = 1304. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.14313803 rounded to 4 dps?\nAnswer: 2.1431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23692 is divided by (-645)\/(-10) + 75\/50?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = 3*a + 2*v, -96*a + 92*a = 16*v - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -839.8 - -918. Let b = q - 78. What is the biggest value in b, -1, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(1 - -2) - -2. Suppose -r + 6 - p = 0. Solve h + r*h + 20 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 4*a**2 + 29*a - 10. Suppose 5*t - 4 = 4*t. Calculate the lowest common multiple of q(-10) and t.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.5 + -2.5. Let g = 1.6 - 0.6. What is the biggest value in -4, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**3 + 2*g**2 - 2*g + 2. What is a(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1282051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 888 and 3504?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -x**2 - 10*x + 5. Let y be g(0). What is the third derivative of -26*t**6 + 13*t**5 - 13*t**y + 115*t**2 + t**6 wrt t?\nAnswer: -3000*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 29, -32, -3, -13, -5 in decreasing order.\nAnswer: 29, 0, -3, -5, -13, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 21701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6798 + -10066. Let p = -847 + d. Round p to the nearest one hundred.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 4\/(-10) + (-1386)\/35. What is the units digit of 0 + 0 - h\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*w - 7*w + 34*w)*(-2 + 2 - 3).\nAnswer: -114*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 34\/10 + (-4)\/10. Suppose 5*z = -2*a + 71, 3*a - 4*z - 116 = a. Suppose u + v*u - a = 0. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**2 + b + 1. Let k(m) = 2*m**2 + m + 2. Suppose 11 = g + 17. Suppose -3*a = -19 + 7. Give a*k(y) + g*w(y).\nAnswer: 2*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/4 - 693*s**2\/4 + 29754*s + 90828.\nAnswer: (s - 348)**2*(s + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 155*z - 1781259 = 1711356. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3579, -14103, -31371, -55161, -85251?\nAnswer: -121419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 534 divided by -15758?\nAnswer: -267\/7879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -39*d + 37*d + 138. Let h = d - 76. Let m(c) = c**2 + 7*c - 4. Determine m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/7 (b) -5 (c) 5\/3 (d) -18.639\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 301*a. Let q(h) = -2*h**2. Determine q(s(t)).\nAnswer: -181202*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a - 137*a**2 - 135*a**2 + 749*a**2 - 377*a**2 - 109*a**2 - a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 238874a (base 11) to base 3\nAnswer: 21211002112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 1447*y**2. Let x(h) = h. Give x(g(w)).\nAnswer: 1447*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -192420, -384842, -577264?\nAnswer: -769686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (z - 3*z**2 - z)*(-100 - 44 - 10)*(-9*z + 0 + 0) in the form g + n*z**3 + u*z**2 + x*z and give n.\nAnswer: -4158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = -132.1 + 72.9. Let t = 192 + -133. Let m = t + h. Are 3 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 8 and 46034957408402.\nAnswer: 46034957408410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = 27*q + 146. What is the remainder when n(7) is divided by 111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (12 - 14)*20\/(-24). What is the biggest value in 1, -1\/27, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.09 (b) -8 (c) -9.83465\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5762529 minutes to microseconds.\nAnswer: 34575174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -875854, -876166, -876680, -877390, -878290, -879374?\nAnswer: -880636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 39*c - 12*c = 4*c + 969 for c.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-847)\/(-14))\/((-1)\/(-4)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7695717 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 9007379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 131 + 3*c - 4*c - 142. What is b(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z. Let i(v) = -v - 6. Determine -2*g(r) + i(r).\nAnswer: r - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -10856139*c**4 - 48*c**2 - 9448*c - 2 wrt c.\nAnswer: -260547336*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*q - 22*q + 54 = 0. Let o(c) = -c**3 - 9*c**2 + 3. Let b be o(q). Solve x + b = -0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5847.\nAnswer: 3, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144066 is divided by 18008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -698*b**2*n**3 - 25*b**2*n + 25*b**2 - 260*b*n + 14965*n**2 + 31 wrt n?\nAnswer: -4188*b**2*n + 29930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 3212.75315 rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 363582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**(3\/2)\/l)\/l)\/((l\/(l\/(l*l**(1\/7)*l)))\/l))\/(l\/l**(6\/5)*((l*l*(l**(-1)\/l)\/l*l)\/l)\/l) assuming l is positive.\nAnswer: l**(39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35567788 and 262229?\nAnswer: 391245668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -86 - -2137419?\nAnswer: 2137333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5003 is divided by 68?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-44)\/(b*((b*(b\/(b*b**(-10)\/b*b)*b)\/b*b*b)\/b*b)\/b) assuming b is positive.\nAnswer: b**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8 - 27*c - 8.\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2794 + -2923.7. Let l = j - 116.6. Round l to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/4)\/(9\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (140\/65 - 4\/26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 146425123 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-60)\/160*24\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -bcc0c985 - -1?\nAnswer: -bcc0c984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -28040 at most -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 + 2*b - 1 - b + 3*b - 4*b + (-3 + 0 + 1)*(b + 0*b - 3*b) - 4 + 2*b + 4 + (3*b - 3*b + b)*(-254 + 590 - 1163 + (2 - 2 - 1)*(0 + 1 - 3)).\nAnswer: -819*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 56\/18423 and -143\/1602.\nAnswer: 36846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 19 = -7. Suppose -z*u = -8*u + 30. What is the least common multiple of u and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 14*b**3 + 24*b**2 + 6*b - 4.\nAnswer: 2*(b + 1)**2*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + 14*g**2 - 15*g + 1. Let a be c(-15). Calculate the common denominator of -77\/8 and (-395)\/(-15) - 2\/a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 796032, 796010, 795972, 795918, 795848, 795762, 795660?\n\"Answer: -8*u**2 + 2*u + 796038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120133020323 + -3?\nAnswer: 120133020320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 4*o + 1. Determine u(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k**3\/3 - 68*k**2 - 2880*k = 0. Calculate k.\nAnswer: -36, 0, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 - (-1 + -82))*32\/20. Suppose d*x = 144*x - 6872. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -h**3 - 3*h**2 + 3*h + 3. Let j be o(-3). Let b be j\/9 + (-256)\/(-6). Let x = b - 11. What is the remainder when x is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -38.40359 to 1 decimal place.\nAnswer: -38.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 92127057 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 3 - (-2 + (16 - 30) + 21)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.06, -3, 4, -505 in decreasing order.\nAnswer: 4, 0.06, -3, -505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(4*(-2 + sqrt(3888)) + sqrt(3888) + (sqrt(3888) - -3*(2 + sqrt(3888)))))**2*-3.\nAnswer: -34012656 + 139968*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w - 3*w = -315. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -6*r - 13. Let h be p(-3). Suppose 0 = h*g + 5*t - 405, -g + 2*t = -3*t - 111. What are the prime factors of g?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u + 3 = -3*b, -12 = 4*u - 6*u - 3*b. Suppose -4*x = -u*d - 3667, 5*d - 3225 = -3*x - 453. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-13780)\/(-371))\/52 + 87\/(-14) + 0.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -29773 smaller than -30080?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -13.397125 rounded to three dps?\nAnswer: -13.397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1264 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 110288 and 3193380?\nAnswer: 779184720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*l + 17*l - 169*l**2 - 3*l - 146*l**2 - 401 with respect to l.\nAnswer: -630*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5 + 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 8*o + 5. Let k be x(-6). Let t = k + 10. Let i be t - (2 - -1 - 2). Solve 28 = 3*u - 4*y, 4*y - i*y - 4 = -3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the third derivative of 4*b**5\/15 - b**4\/8 + 17*b**2. Let g be y(-3). Suppose -6*h = 3 - g. Calculate the remainder when h is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0*-5*(-7)\/(-70)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = h**3 + 3*h**2 - 12*h - 6. Let k be c(-5). Suppose q + k*x = 218 + 174, 3*q - 1176 = -4*x. Calculate the highest common divisor of q and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 18*j - 202. Let o be u(13). Let n = o + -127\/4. Which is the nearest to -1? (a) n (b) -4 (c) -5 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24629700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -k*r*y**2 - 8*k*r*y + 14*k*y**3 - 7*r - 3*y**4 wrt y?\nAnswer: -2*k*r + 84*k*y - 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 958535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(5)*-1*-5 - sqrt(5) - sqrt(160)\/sqrt(8)) + -3*(sqrt(320) - (2*sqrt(320))**2) + 2).\nAnswer: -15368 + 88*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t + 52. Let v be j(8). What is the remainder when 87 is divided by (-94)\/(-4) + v\/(-8)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*((-38)\/57 + 8\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -3*k**2 + 4*k. Let t(h) = -3*h**2 + 10*h + 85. Let l(z) = z**2 - 5*z - 51. Let w(s) = 5*l(s) + 3*t(s). Calculate 3*r(d) - 2*w(d).\nAnswer: -d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find r such that -2*r**2\/17 - 260*r\/17 + 798\/17 = 0.\nAnswer: -133, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-24)\/(-54))\/(10\/45). Suppose 0 = -3*o + 7*o + b - 9, i*o = 3*b + 15. Factor -6\/19*z**2 + 0 + 24\/19*z**o - 14\/19*z**4 - 4\/19*z.\nAnswer: -2*z*(z - 1)**2*(7*z + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19740, -11065, -41880, -72711, -103564, -134445, -165360, -196315?\nAnswer: -227316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.4 + 0.3. Let x = 587\/13 + -45. Which is the nearest to z? (a) -1\/2 (b) x (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 64850368 a multiple of 1227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1173.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 15.462815 rounded to 1 dp?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -262*a + 3148. Determine m(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is (310\/40)\/(0 - 1\/(-56)) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2*g**2 - 2)*(27*g**2 + 3 - 39*g**2 - 45*g**2).\nAnswer: -114*g**4 + 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v + 5. Let y be a(-5). Let k = y - -1. Let g = 8 - k. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(189)\/(sqrt(847) - -3*sqrt(847)))\/(sqrt(63)\/(sqrt(7)*2) - (sqrt(9) + sqrt(144))*-3) + 3.\nAnswer: sqrt(3)\/682 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(-7)*i*i*(i\/i**(1\/3))\/i assuming i is positive.\nAnswer: i**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 85 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {x: 1, h: 1, d: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19 - 21.1. Let z = 2.2 + u. Let s be 1*-2*2\/2. What is the closest to 0.1 in z, s, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 14 - ((6 - -7) + (11 + -1 - 13))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1997, -3883, -5699, -7439, -9097, -10667, -12143?\n\"Answer: n**3 + 29*n**2 - 1980*n - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*p**3\/2 + 2205919*p**2 + 8823673*p\/6 + 245102.\nAnswer: (p + 1470612)*(3*p + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 128917582?\nAnswer: 2, 64458791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 49 times 31.335?\nAnswer: 1535.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 4\/9, -14.6, 11410, -3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*m**2*r + m**2 + 902505*m*r - 88178442*m + 27*r wrt r.\nAnswer: 2*m**2 + 902505*m + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**3)**(1\/68) assuming s is positive.\nAnswer: s**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 14172911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 PM and 11:33 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 82*t**2 - 32*t - 2?\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 * -411.\nAnswer: -164.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-10))\/((-102)\/(-255)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 14) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 4480 = -3*m + 1202, -5*c - 5*m + 16470 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (154\/(-385))\/(2\/5)*14\/(-6)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -758274 - -1799634. Round y to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ryyrlllrr. What is prob of picking 1 y and 3 l?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 25 = p, p - 2 - 29 = -4*o for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -41 + (733 - 684)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -8*m**3 + 141*m**2 + 44*m + 183. Calculate s(18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*6557.\nAnswer: -2622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 PM and 4:20 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 45 = -v, -4*p = -v - 3*v - 60. Solve -t - p = -6*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21669340?\nAnswer: 2, 5, 7, 11, 14071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 - 105?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7359 = 18*q - 7671. Let f = q + -480. Is f a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 696 and 146890104.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 31*f**4 - 24*f**3 + 11*f**2 + 6. Let l(i) = 61*i**4 - 49*i**3 + 21*i**2 + 11. Let c(z) = 6*l(z) - 11*o(z). Let c(y) = 0. What is y?\nAnswer: 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -143 + 157.92. Let w = k - 14. Let b = w + 0.38. Is -2 <= b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 11, g: 3}. What is prob of sequence www?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 4*d = -d + 181, -3*w = -4*d - 127. Suppose 5*s = o + 2*o + w, -5*s - 43 = o. Let q = o + 40. What is the remainder when q is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 654 a factor of 35045841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h**5\/2 + 14940*h**4 + 47191992*h**3 + 49757132160*h**2 + 16637985682944*h = 0.\nAnswer: -4184, -796, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 3\/21 - 3285\/189*-2391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 4 = 2*l. Let d be l\/(-4)*(-1 + 1). Calculate the least common multiple of (2 + d)\/(-2) + 19 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2032)\/(-1016))\/(3\/((-3)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010000011 (base 2) to base 4.\nAnswer: 22003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 39 = -5*n, -6*n + 3*r = -9*n - 9. Solve 2*k = -s - 8, 5*k = n*s - 17 + 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**1\/z**(3\/10))\/((z*z**(4\/3))\/(z**(-4)\/z)))**(-41) assuming z is positive.\nAnswer: z**(8159\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 494 + -332. Is a != 164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 58781\/3732 - 1\/1866. Let j = 27863\/324 - 182\/81. Let u = j - 489\/4. Find the common denominator of u and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 149, 131, 113, 95, 77?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 2*y**2 - 44*y + 64. What is g(18)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1221 - 536. What are the prime factors of z?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + s - 424 = 5*s, 2*s = 4*w - 562. Let g = w + -61. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((32\/4)\/(-8))\/((-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -103600, -1, 12, -3.\nAnswer: -103600, -3, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2151*v**4 + 373*v**2 - 2 wrt v?\nAnswer: 51624*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -92*z - 53055 - 5*z**2 + 187*z - 95*z.\nAnswer: -5*z**2 - 53055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 609232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -43*k**2 - 80*k + 70. Let s(t) = 72*t**2 + 134*t - 120. Give 12*i(y) + 7*s(y).\nAnswer: -12*y**2 - 22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 5*n**2 - 313*n + 2331. Calculate l(54).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -5*m**3 - 2*m**2 + m + 3. Let s be d(-4). Find the common denominator of (-146)\/8 + (-2 - -1) and ((-18)\/(-20))\/((-21)\/s).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 7372*d + 3811322. Calculate v(-517).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = 27 - 30. Let y(b) = -b**3 - 3*b**2 - 3*b - 3. Let n be y(u). Suppose 0 - 6*f**2 - 3\/2*f**3 - n*f = 0. What is f?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 296 is divided by 98?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2251\/17956 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 + 23 - 32 = -y - 5*h, -2*y - 2*y - h + 92 = 0 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -98*(48\/6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -3*n + 29. Let m be l(11). Let o be (18\/(-144))\/((-3)\/(-18)). Put o, m, -1\/20, -3 in decreasing order.\nAnswer: -1\/20, o, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3612840 divided by -129030?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1952\/(-732))\/(8\/(-42)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*f = 60*f - 8136. Is 9 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 90216.\nAnswer: 2, 3, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 51865 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -3681*z**3 - 4*z**2 - 11*z + 16. Suppose 0 = -5*w + w + 332. Suppose w - 28 = 5*s. Let q be l(s). Round q to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - 3*p)*(95 + 21 + 14) + 3*p - p + 2*p.\nAnswer: -386*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 + 8*c**3 - 12)*(2 + 3 - 3).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3893052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 + a**2 + a - 1. Let n(q) = -3*q**3 + 135*q**2 - 6*q + 4. Give n(g) + 4*r(g).\nAnswer: g**3 + 139*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 + 1)*(-28*k + 4 - 4)*((-5*k + 4*k + 6*k)*(2 - 1 + 0) + 2*k - 6*k + 3*k - 4*k + 0*k + 3*k - k + 2 - 2 + (0 - 4 + 2)*(3*k - k - k) + k - 2*k + 0*k).\nAnswer: 84*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0061614 rounded to four decimal places?\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 70 and 12110?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 413 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.03, -0.1, 37.\nAnswer: -0.1, 0.03, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*y + 12*y + 12*y to the form s + k*y and give k.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 + 46*q**2 - 81*q + 724. Determine m(-48).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, r: 9, i: 2, n: 1, s: 3, h: 1}. Give prob of picking 1 r, 1 z, and 1 i.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:33 AM and 9:19 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -2*f**3 - 6 + 0*f**4 + 1474*f + 3*f**4 - 1475*f as s*f + g*f**4 + y + i*f**2 + u*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-115)\/3*54\/20*(-136)\/(-204)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 445 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8031 + 8077. Sort k, -5, 5, 3, -4 in descending order.\nAnswer: k, 5, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -2 and -6.352.\nAnswer: 12.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7524235 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28100273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the second derivative of -19\/6*u**3 + 13*u - 4*u**2 + 0 + 1\/6*u**4. Let r be k(10). Solve -v + 2*v = -r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 5*o + 325 = 0, -b - 4*o - 80 = -2*b. What is the highest common divisor of 578 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) be the third derivative of 20533*m**6\/40 + m**5\/15 + 5*m**4\/24 + 3*m**2. Let y be g(5). What is y rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, -319, -4 in increasing order.\nAnswer: -319, -4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1\/3195 - -60683\/70290. Let j = 12518957\/10520300 + 2\/105203. Calculate the common denominator of j and c.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*d - 90*d + 209 = -279 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -11*s + 16 - 60 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 50 (base 7) to base 4\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bhbbkchbbhbhbbchk. Give prob of sequence bc.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 85 < 6120\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/2*(-2)\/(-4). Suppose 0 = -3*f + v*s + 201, -77 = -f + 2*s - 5. Let a(c) = 663*c - 39113. Calculate the smallest common multiple of f and a(59).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from lkllllklllklllllllli. Give prob of picking 2 k and 1 i.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2793193 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2560*p*q**4 - 2*p*q**2 - p*q - 5*p + 24*q**2 wrt q?\nAnswer: -61440*p*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 20129 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 70753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3164.002627 + 3164. What is o rounded to 4 dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 - 29*g**2 - 27*g + 30. Let a be z(-28). Suppose 0 = n + 5, -a*y + 352 = n - 59. What is the highest common factor of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6, -49, -132, -255, -418, -621?\nAnswer: -864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 20291182 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be -3*(-1)\/(-3)*-2. Let j = -2 + a. Suppose j = 4*z - 5*c + 2*c - 101, 0 = 4*z - 2*c - 102. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 12 + (-91 - (-127 + 63))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 5 (b) 4\/5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 PM and 9:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/(222\/18 + -10))\/((-9)\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 78944761.\nAnswer: 7, 947, 11909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 10 = 3*u. Let t = 83.8 - -0.2. Let a = t - 86. What is the closest to 2 in a, 3\/2, u?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + 46. Let o = y - 41. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 100094536?\nAnswer: 2, 31, 403607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-6)\/8 + (-165)\/(-44). Let w be (20\/(-8) + u)*10. Put 4, 2, w in increasing order.\nAnswer: 2, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 6566, 13123, 19680, 26237, 32794?\n\"Answer: 6557*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((v*v*v\/v**(-1\/9))\/v**22)\/((v\/v**(3\/7)*v*v)\/((v**0*v)\/v)))**50 assuming v is positive.\nAnswer: v**(-67600\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = -2*t - 1 + 6, 0 = t + 3*b - 2. Suppose -3 - 2 = -t*z. What is the closest to -5 in -5, 0, z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 + 4*k**2 + 6*k - 4. Let c be n(5). Suppose 178 - 126 = 13*r. Put r, 5, c in descending order.\nAnswer: 5, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*g + 5*k - 4*k - 28 = 0, 2*g = 4*k - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 62833 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 + -11. Suppose -4*d - 2*n = -n - 150, -d + 2*n + 33 = p. Suppose 0 = 3*b + 5*q - 37, 2*b - 5*q = -4 + d. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6.4 and 5.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Factor z**2 - 546*z - 70632.\nAnswer: (z - 654)*(z + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -8924*d - 14*d**2 + 2977*d + 2975*d + 5 + 2974*d. Let n(t) = -t. Calculate k(n(h)).\nAnswer: -14*h**2 - 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 41094018 and 11.\nAnswer: 452034198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 160\/156*(-10)\/(-45) - 72\/468?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g**(-2)\/g))\/(g\/(g*g\/g**2*g))*(g**(2\/3))**(-2\/83))**(2\/67) assuming g is positive.\nAnswer: g**(1984\/16683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24*(-63)\/(-336))\/((3\/2)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ooojooxjkksjkkooxx. What is prob of sequence oj?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -81 - 18e75a?\nAnswer: -18e7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 0 - (1 + (-15)\/9). Let a(y) be the third derivative of 2*y**2 - h*y**3 + 1\/4*y**4 + 0 + 0*y - 1\/30*y**5. Factor a(o).\nAnswer: -2*(o - 2)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 319 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 1112*j + 6676. Determine x(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -12, -3*u + 1064 = 5*f - f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lys when three letters picked without replacement from {v: 1, s: 1, y: 1, u: 2, l: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 5*v + 1030 = 1056, 2*r + 4*v + 22 = 0. Let t(b) = 5*b. Let p(l) = 5*l + 0*l + l. Let j(u) = 4*p(u) - 5*t(u). Give j(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(425) + 1*sqrt(425) - sqrt(425))*-6)**2.\nAnswer: -240*sqrt(17) + 15316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, 0, 1\/44, -1\/4, 5, 1\/9 in decreasing order.\nAnswer: 5, 1\/9, 1\/44, 0, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/11 (c) 0.1 (d) 1.23 (e) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*a + 48*a = -35 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 3114348+49\nAnswer: 3114397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (42*k**2 + 35*k - 35*k)*(-k + k + k + (0 + 1 + 1)*(0 + 0 - k)) as w*k**3 + q*k + u*k**2 + a and give w.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2013 is divided by 1892?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0029034519 to 6 decimal places.\nAnswer: -0.002903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (3*3\/9)\/(2\/22) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/7 < 17\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o**0)**(-23)*o**(-2\/7)*o*o\/(o*o\/o**(-3)*o)*o)**(-33))**(-36\/11) assuming o is positive.\nAnswer: o**(-2484\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -49*y - 1. Let r be d(-1). Let j be 53\/(84\/70 - (-1)\/(-5)). Let f = -47 + j. What is the greatest common divisor of r and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:27 PM and 1:41 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 317\/1468?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*r - 12*r = 4*w - 6316, 0 = -4*r - 5*w - 6343. Which is greater: r or -1583?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-527)\/(-136) - ((-25)\/15 + (-17)\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 5*z**2 - 100. What is r(6)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 12*s**2 + 3*s - 4. Is z(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 48 = 2*v. Suppose -v*i + 54 = -13*i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**3 - 588*i**2 + 43218*i.\nAnswer: 2*i*(i - 147)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6, -6.422, 4, -1\/4 in decreasing order.\nAnswer: 6, 4, 3, -1\/4, -6.422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 451798?\nAnswer: 2, 223, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 0 = -16. Let v = y + 3. Let r = -34.2 - -34. Which is the nearest to r? (a) v (b) 2 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.055 (b) -0.5 (c) 4\/7 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/9)\/((((-2584)\/(-85))\/(-4))\/((-9)\/(-5)))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 99 times 6364\nAnswer: 630036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be 4\/(-18) - (-665)\/(-45). Let r be q\/(-4) + (-5)\/(-20). What is the third derivative of -2*x**4 - 3*x**2 + 3*x**r + 2*x**4 + 2*x**2 wrt x?\nAnswer: 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**3 + 164*z**2 + 1728*z + 3600.\nAnswer: -4*(z - 50)*(z + 3)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be 107\/4 + 3\/(-4). Let f = x + -20. Calculate the common denominator of 2\/6 + (-75)\/144 + f and 95\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -215, 8, -0.003 in descending order.\nAnswer: 8, -0.003, -215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and 38479135.\nAnswer: -76958270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*v + 150 + 260 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 4245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2 + 6*j + 2. Give g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 3*t**2 + 16*t + 1. Calculate y(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 2*a + 12*a + 2*a - 14*a - a. Let o be b(3). Solve 0*n = o*n - 6*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -270718 + 19550. Suppose -u = j + 71208. Round j to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 64578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-156905*z**2 + 156905*z**2 - 5*z + 2 + 2*z**3)*(3*z + 7*z - 2*z) as k*z**2 + i*z**4 + j*z**3 + w*z + p and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find w such that -4*w**3 + 141128*w**2 - 1245242800*w + 7466377056 = 0.\nAnswer: 6, 17638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 11*u**2 + 5*u - 5. Let s(y) = -6*y**2 - 3*y + 3. Let l(p) = 3*n(p) + 5*s(p). Let w(k) = -13*k. Calculate w(l(j)).\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 1 + 4)*(-5*q + 4*q + 4*q) + q - 5 + 5 - q - 1 + 1 + (0 - 2 + 1)*(0*q - 3*q + 5*q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -9213 divided by -8?\nAnswer: 9213\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13757700 divided by 3630.\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor -q**3 + 1482*q**2 - 447629*q + 7976808.\nAnswer: -(q - 1071)*(q - 392)*(q - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a**2 + 8 + 214*a**3 - 229*a**3 - 8.\nAnswer: -15*a**3 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21 - 19 + 6*j**3 + 40.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*t + 88 + 32 = 0. Calculate the remainder when 205 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 3*z**2 - 26*z - 3. Give a(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 4*v**2 + 6*v + 10. Let c be f(-5). Suppose -c*w + 94 = -151. Let o = 5 - -2. Calculate the greatest common divisor of w and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 193500 and 58.\nAnswer: 5611500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes before 12:15 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*n**2 + 4804*n + 50440 = 0.\nAnswer: -10, 1261\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 114 = -2*j, 3*t + 3*j + 2*j - 118 = 0. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -779*v + 29 = -784*v - 3*f, 0 = 3*v - 5*f - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8 + 6 - (-24)\/14\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -17*n + 14*n + 15. Suppose -n*s + 308 = 9*s. What is the derivative of -6*o + 27 + 2*o - s*o wrt o?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**2 - 5242*v + 6869641.\nAnswer: (v - 2621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 86 + (1 - 35) + (-20 - -4)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 597822, 597819, 597816?\n\"Answer: -3*r + 597825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**0)**(1\/27))**(-32) assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 200234266?\nAnswer: 2, 103, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 1 - 3)*(-1 + 0 - 11)*(3 + 6 - 5)*(-5 + 3 + 3)*(-4 - 2 + 4)*(8*m + 7*m + 0*m).\nAnswer: 4320*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 29? (a) 5 (b) -1 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3446608971 to the nearest integer?\nAnswer: 1511","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k + 2*k - 264. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9.03 - 9. Let u = -0.97 - i. Which is the second biggest value? (a) -5 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - -37 - (6 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 1009634*n - 2019261. Determine p(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Are -147 and -47522 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -11*d**2 - 495*d - 14. Let n be g(-45). Let u(h) = -27*h**3 + 7*h**2 + 5. Let k(x) = 80*x**3 - 20*x**2 - 14. Calculate n*u(z) - 5*k(z).\nAnswer: -22*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 144 is divided by 30.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be 14*-6*2\/(-3). Suppose i = -4*x + 8*x. Let h = 4 + 4. What is the smallest common multiple of h and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-4) + (-217)\/(-14). Let q = -14 + n. Suppose -f = 44 - 47. Solve -f*y + 4 = -q*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-5)*(-5)\/17. Let p be -6 - ((-746)\/50 - (-50 - -41)). Which is the smallest value? (a) -5\/2 (b) p (c) z (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 12:49 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(5 + (sqrt(2736)*3 - sqrt(2736) - sqrt(2736))) - (sqrt(285)\/sqrt(80))\/(sqrt(6)\/(sqrt(6)\/sqrt(3))).\nAnswer: -97*sqrt(19)\/4 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*n - 2506 = 94*n. Is n a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1774 + -672. Let r = y + 3987. What are the prime factors of r?\nAnswer: 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 203 a factor of 3230659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.17 - -3.17. Let b = -0.1 + -0.1. Suppose 3*j = 15, 5*j - 428 = 3*y - 394. Sort z, y, b, 1\/8 in increasing order.\nAnswer: y, b, 1\/8, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -391.99 - -395. Let h = -142.01 - -142. Let y = h + k. Which is the nearest to 1? (a) y (b) -43 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-2)\/(-4))\/((-10)\/(-160)). Suppose 5*k = 3*w - 0*k - 4, 3*w - 4*k = 5. Solve 0 = w*i - i + t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -52 - 12 - 43 - -40.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*x**3 - 3*x**2 + 5*x**4 + 2*x**2 - x**2 + (-3*x**3 + 3*x - 3*x)*(x - 3*x + x).\nAnswer: 8*x**4 + 4*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by 765822?\nAnswer: -1\/765822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 4*f - 35. Let x(o) = o**2 + 16*o. Let z be x(-17). Let t be g(z). What is the second derivative of -30*l + 53*l - 7*l**4 - t*l wrt l?\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 4*j - 23. Factor -3*c**5 + j*c**2 + 6*c**3 - 3 + 4*c**4 - 8*c**4 - 2*c**4 - 3*c + 3*c**4.\nAnswer: -3*(c - 1)**2*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -24394, -376, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 25 minutes before 1:40 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4847665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q + 105. Let j be c(33). Suppose -a + 19 = j*f - 5*f, 2*a = -3*f + 52. What is the highest common divisor of f and 406?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**2 - 28*p - 130. Calculate u(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = y + 3*y - 20, 4*y + 37 = 94*w + 88*w - 178*w + 5*y for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.033 (b) -2\/7 (c) 695 (d) 0.3 (e) 4 (f) 5 (g) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2 - 7900*h + 118050.\nAnswer: 2*(h - 3935)*(h - 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 44972001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fbxfcxf. What is prob of sequence bx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 3*n**3 - 74*n**2 - 52*n - 11. Determine d(25).\nAnswer: -686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1.002+3\nAnswer: 4.002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 4*d**3 + d + 163. Let r(g) = -4*g**3 - 2*g - 150. What is 2*r(w) + 3*y(w)?\nAnswer: 4*w**3 - w + 189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 5*y - 4. Let k(c) = c - 6. Let q be k(10). Let r(j) = j - 1. Let o(l) = q*r(l) - t(l). Let s(m) = 6*m**2. Determine o(s(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 1114111 (base 5) to base 2\nAnswer: 100110111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -454 + 3637\/8. Let t = -43 - -345\/8. Let l = t - b. Is -1 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3 - -7. Solve -3*c - q = 11 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -11. Find the common denominator of -20\/7 and (j\/45)\/((-8)\/354).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 + 11*a**2 - 8*a - 23. Let z be r(10). Let y = 23\/12 + -105\/4. Calculate the common denominator of (-1)\/z*122\/4 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b + f - 233 = 0, b + 24*f = 19*f + 225. What are the prime factors of b?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 320 and 3510.\nAnswer: 112320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q be (72\/30)\/(2\/(-25)). Let l be (-12)\/(-15)*q\/(-4). Suppose n = -0*a + a - 7, a - 2*n - l = 0. Is a <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 114599 = -4*o, 3*y + 5*o - 62091 = 52463. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -y**2 + 7944*y = 0.\nAnswer: 0, 7944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -3*h + 47, -4*x + 156*h - 71 = 161*h. Let m(u) = 9*u**2 + 6*u. Let j(r) = -r**2 - r. What is x*j(v) - 2*m(v)?\nAnswer: -4*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4c7653b - 5?\nAnswer: 4c76536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -169*t**3 + 7 + 0 - 7.\nAnswer: -169*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - b + 44 - 1 = 0, 10*b + 65 = 5*a. Solve -4*q + a*q - 12 = -2*z, 3*q - 4*z - 2 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -61718, 2, -5, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 4923*n - 24154?\nAnswer: 4923","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 20 = -2. Let g = 15 + s. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*q + 0*q + 8*q - 14*q + q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 82756 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 28.4 - -2.6. Let n = -29.75 + 2.55. Let p = n + v. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*q**2 + 3*q**2 - 6*q**2)*(0*q - q - q)*(-3 + 2 + 2) to the form b*q**2 + l + t*q**3 + m*q and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k + 1. Let c be y(5). Solve z = -j + 3, 8 = -2*z + c*z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 175\/(-375) + 3\/9. What is the second smallest value in 0.5, 1\/3, -3, 1.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 165 and 528?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 19 - -8.18.\nAnswer: 27.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -221112 (base 3) to base 5.\nAnswer: -10224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 94 - 79. Solve -5*y + 2*y - 5*g + 9 = 0, -5*y - g = -f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.5, -0.3, 452, 128, 2, -20, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 4*x - 257 = -2*t, -2*t = -5*x + 273. What are the prime factors of x?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + r - 96 = -439, -5*l - 3*r + 581 = 0. List the prime factors of l.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 756? (a) -4\/7 (b) 4 (c) 0.054 (d) -5 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/35 in 2, 1\/4, 0.093, -0.2, 1.4?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/120 and -137\/942.\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 92722 - 439\nAnswer: 92283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -172.7527851 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -241 + 132. Let y = s + 108.67. Let p = y + 5.33. Which is the nearest to -1\/2? (a) p (b) 4\/5 (c) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -328 = 4*g - 45*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f. Let z = -192 + 194. Let n(h) = -3*h**z - 3*h + 3*h - 13*h**2. Determine n(j(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -11325, -22650, -33975?\n\"Answer: -11325*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5696 is divided by 190?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = -6*k - 5*c + 23, 0 = 3*k - 2*c. Suppose 0 = -k*x + 6. Suppose -30 = -x*b + 9. What is the remainder when 50 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-17 + 10)) + -4 - -14?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 57 - 27. Calculate the smallest common multiple of 3 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y*y**8*y)\/y)**(-19)\/(y\/(y*y*y*(y*y*y\/(y\/y**20)*y*y)\/y*y)*(y\/(y**(8\/5)*y*y))\/y) assuming y is positive.\nAnswer: y**(-707\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = -l - 55 + 44, -69 = -3*l + 5*z. Calculate the remainder when 120 is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-14))\/(((-144)\/840)\/2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 7.4, -0.06, -0.5, 0.19 in ascending order.\nAnswer: -0.5, -0.06, 0.19, 7.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (5\/(-2))\/((-1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 287, 604, 905, 1184, 1435?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x - 600 = 1380. Let a = -229 - x. Suppose 4*h - a - 425 = 0. Is 34 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 99644?\nAnswer: 2, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*m - 12*m + 8*m**2 + (m**2 + 0*m + 0*m)*(0 + 0 - 1) to the form z*m + w*m**2 + b and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -458 - -1141. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 6\/9*(-36)\/(-8). Suppose 4 = -n - i*n. Let g = -121 + 123. Which is the nearest to n? (a) -2\/13 (b) 4\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 27\/4 of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10489 is divided by 374.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -114, 5, -4 in ascending order.\nAnswer: -114, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*r - r - 2*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126875 is divided by 327?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q - 70. What is c(-26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 3 - 72)*(2*s + 0*s - 3*s) + (-1 + 3 - 5)*(-3 + 3 + s)*(2 + 0 + 0).\nAnswer: 59*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 98*t**2 - 2*t - 527 with respect to t.\nAnswer: 196*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 4 + (-2 - (-1 + -81)). Let m be ((-1)\/2)\/((-6)\/n). Suppose 6*o + 89 = m*o. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, c: 3, w: 12}. What is prob of sequence ccwc?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 172110 is divided by 172098.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + (-3 - -5) - (15 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12940)\/(-340) + (-113)\/1921?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 170\/3481 - 2182192\/45966605. Let s = d + 425217\/7738130. Calculate the common denominator of -139\/18 and s.\nAnswer: 5274","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 < 144\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) be the third derivative of r**4\/3 - r**3\/3 + 8*r**2 - 3. Let m(z) = 41*z - 11. Determine -2*m(b) + 11*v(b).\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(36)\/sqrt(6) + sqrt(6))*5)\/sqrt(3).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 12 + -19. Let r = l - -56. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 82 = -98. Solve -42*r = -v*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 15\/15*3*1. Suppose t*q + q - 32 = 0. What is the least common multiple of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 - (209 - (-83 + 162))?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 a, and 1 f when three letters picked without replacement from {c: 2, w: 3, f: 1, a: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16590 and 1757355?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5)\/185 + (-15912)\/2664?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9576457 is divided by 3191984.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 812 + -823. Which is the third smallest value? (a) 15 (b) p (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l = j + 2, 2*l + 2 = 3*l + j. Let y = 0 - 6. Let i(m) = 5*m**2 - 3*m + 3. Let s(a) = -11*a**2 + 6*a - 7. Let f(q) = y*s(q) - 13*i(q). Determine f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/11, -3\/16, 0.4, 1\/12?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Work out 623 - 0.0298.\nAnswer: 622.9702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -8*u + 350. Let r(f) = -f**3 - 2*f**2 - 5*f + 5. Let i be r(-6). Let z = -111 + i. Calculate the remainder when z is divided by o(42).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 + 5. Suppose 2*w - 3*w + 735 = 0. Suppose n = k + w, -3*k + c*n - 2200 = -4*n. What is k rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 12 by 881.\nAnswer: 12\/881","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooc when three letters picked without replacement from {c: 1, o: 2, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-1)\/2)\/((-10)\/(-8)). Let h(r) = -r**3 + 4*r**2 - 3*r. Let b be h(2). Suppose 3*l = l + b. Do n and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 AM and 9:47 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -4241 * 6523.\nAnswer: -27664043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 173 = -2*q, 77*p - 2*q + 299 = 82*p. Solve -f + p = 60 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 107\/268 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -3*i + 5*i + 3*i as k*i + n and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3\/5 (b) -397 (c) -190 (d) -28 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 + -32. Let y = l - -38. Let c(z) = -z**2 + 1. Give c(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of q**5\/35 - 81*q**4\/28 - q**3\/21 + 81*q**2\/14 - 1144. Factor o(t).\nAnswer: t*(t - 81)*(t - 1)*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3\/(-81)*-1276504 - (-540)\/7290?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 573 = -4*z, 2*z + 298 = -5*l + 889. What is the highest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-1\/2)\/(z**(-1\/2)\/z)*z**7*z**(1\/3)*(z**(2\/5))**(-5\/4)\/(z*z**2*((z**(-2\/13)*z)\/z*z)\/z) assuming z is positive.\nAnswer: z**(389\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 48 minutes before 3:08 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + ((-5 + sqrt(1539) + -2 - (sqrt(1539) + 3*(-2 + sqrt(1539)) - sqrt(1539)))**2 - ((3*(sqrt(1539) - -1*sqrt(1539)) - sqrt(1539))**2 + 3)).\nAnswer: -32320 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zx when two letters picked without replacement from zrvvvevzaaevx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 447*l**2 + 100 + 111 - 211 + 52*l**2. Let j(v) = -v**2. Calculate z(j(g)).\nAnswer: 499*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 298621717.\nAnswer: 298621717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 694 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24*(-33)\/(-2508) + (24540\/5510 - 4).\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -89 + 87. Which is smaller: -5 or z?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 291\/33 - 8\/(-44). Let r(q) = 26*q + 7. Let i be r(t). Suppose 26 = -5*a + i. Is a a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3238596 = -125*t + 601154. What is the ten thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(-2) + (-4968)\/(-16) + 2. Is 48\/z - 180\/(-13) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-16 - -2)*110\/((-870100)\/339)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*i, -3*w + 8*w + 4*i = 4501. What is the highest common divisor of 85 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = v + 3*f + 14, -4*v = 2*f. Suppose 0*o - v*o = w - 21, 4*w = 4*o - 72. Suppose -o - 2 = -3*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(7\/2))\/(k\/k**(-17\/5)*k*k) assuming k is positive.\nAnswer: k**(-89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l*l*l**(-3\/2))**38)**48)**(13\/2) assuming l is positive.\nAnswer: l**5928","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 1\/8, -4, -0.5, -2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 30*v. Let p(z) = -z**2 + 2*z - 31200. What is y(p(d))?\nAnswer: -30*d**2 + 60*d - 936000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -965.6 and 5376.\nAnswer: -5191065.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 684 and 0 + 831 + (-18 + 22 - (2 + -3)).\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -21\/4 and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 20*p**2 - p + 11. Determine b(20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -2*x**3 + 30*x**2 + 30*x + 36. Let l be i(16). Solve 0 = -2*u - l - 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 442 + -99. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 296*f - 297*f + 5 = 0. Let a = -16 - -23. What is the remainder when a is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - u = -b + 12, 0 = -3*u + 5*b - 6. Suppose r - 30 = -u*r - g, -r - g + 6 = 0. Calculate the least common multiple of r and 61.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2511368, -2511411, -2511430, -2511413, -2511348, -2511223?\n\"Answer: 2*d**3 - 57*d - 2511313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (0 - (-5 + 5)) + 3. Let g(w) be the first derivative of f*w**3 - 1\/25*w**5 + 0*w**4 + 0*w + 1\/30*w**6 + 3 + 0*w**2. Factor g(r).\nAnswer: r**4*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 103021337 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 14, -3, 4, -4 in descending order.\nAnswer: 14, 4, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 9713 and 1845.\nAnswer: 17920485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 540, 2091, 4666, 8265?\n\"Answer: 512*j**2 + 15*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1683 greater than 1682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/((w*w**(-5))\/w)*w*w**(-1\/3)\/w)**(-1\/7) assuming w is positive.\nAnswer: w**(-17\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -0.4, -1, -0.1, 0.029527.\nAnswer: -1, -0.4, -0.1, 0.029527, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1344836 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59916 is divided by 625?\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 3*d = 4*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -961 - -732. Let z = s + 229.3. Put -14, 2, z in descending order.\nAnswer: 2, z, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 52*c - 211. Calculate l(5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 32 a factor of 14950734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8443?\nAnswer: 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 261 = -110*g - 729 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -223, 1\/109, -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -32 in -0.274, -2\/7, 348?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -576*g - 409*g + 56145 = 0 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes before 5:26 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4 in 2, 4\/3, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 864.582 to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2.5 - -1.5. Sort h, 2\/9, 1, 2\/15 in descending order.\nAnswer: h, 1, 2\/9, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1140840979 - 653430979. What is u rounded to the nearest one million?\nAnswer: 487000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 49725 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3601 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -30, -83, -172, -297, -458, -655, -888?\n\"Answer: -18*g**2 + g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 127 - 61. Let o = 11 + -15. What is the tens digit of (c\/o)\/((-9)\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -4*k. Let v(y) = 681 + 7*y**2 - 681. Give b(v(h)).\nAnswer: -28*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -10833 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 12942*b - 4*b**3 + 2*b**4 - 12946*b + 1 as o*b**4 + k*b**3 + n + d*b + f*b**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is ((-2182)\/(-1091))\/(2*(-13)\/(-6))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k\/(k**11\/k)*k*k)*k**(-12)*k*k**14\/k*k*k*k**(-14) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9641029.\nAnswer: 9641029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -838*i**2 + 1574 - 1574 + (-1 - 2 + 1)*(11*i - 11*i - 4*i**2).\nAnswer: -830*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 479457 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -3825660 take away 1.9?\nAnswer: -3825661.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 60045 and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 7375380 and 940?\nAnswer: 346642860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mqemoreq. What is prob of picking 1 o and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, f: 4, i: 1, v: 2, e: 2, m: 4}. What is prob of sequence zmmm?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -2*c - 12. Let n be y(-7). Suppose -2*r = n*r - 16. Calculate the remainder when 10 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13 - (-1 + (1 - (-6 + 9)) + 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 11*o + 2*o**3 - o**3 - 10*o**2 + 35*o**2 - 29 + 11*o. Let v be t(-24). Suppose -5*y + v*y = 5334. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2077)\/(-217) - 60\/6. What is the nearest to -2 in a, 3\/7, -0.003?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 2*v**3 + v**2 + v - 2. Let x be w(1). What is the second derivative of 69*k + 3*k**5 - 40 - 22 - 11*k**x + 62 wrt k?\nAnswer: 60*k**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + (-5266)\/(-1754))\/4. Let q = -86819\/7016 - b. Find the common denominator of q and 12\/23.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 947823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 5141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, 29, 84, 193, 374, 645, 1024, 1529?\nAnswer: 2178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 - 29 - (-8 + (-1 - 13)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3532 - -5335?\nAnswer: 1403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y + 2. Let z(q) be the second derivative of -q**3\/3 + 2*q**2 - 36*q - 2. What is -5*v(x) + 2*z(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4874 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 222 in -1718, 3, 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -r**2 - 7*r - 8. Let n(t) = 399*t - 3. Let c be n(1). Let z be (-4)\/(-14) - c\/63. Determine m(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 106 + 0 - (14 + 162 - 161)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -63373 - -153563. What is c rounded to the nearest 1000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 6:45 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2 - 10*k + 27. Let x be p(-12). Find the second derivative of v**4 + 11*v**x - 11*v**3 - 4*v + 7*v**4 wrt v.\nAnswer: 96*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 44 + 16. Let k = -1131206 + 1131145.9947. Let c = l + k. What is c rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12 - 5 + 6*a - 49 - 5*a as o + z*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 727232 and 20?\nAnswer: 3636160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 7*j**2 + j. Let g be d(-1). List the prime factors of 51\/(g\/3 + -1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -50 - -128. Suppose -g = 10*w + 3*w. Put 4, 2, -4, w in increasing order.\nAnswer: w, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 32 = -68. Suppose 4*k = 34 + w. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor g**2\/3 - 132298*g\/3 + 4375690201\/3.\nAnswer: (g - 66149)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1e327 - 44?\nAnswer: -1e36b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - -2 - (6 + (-2 + 3 - -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 631867733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -a84?\nAnswer: a82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in -8, -1\/15, -1, 2\/27, 5\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i - 3. Let l be k(-5). Let w be 8 + -9 - (102 - l). What are the prime factors of w\/(-5) - 24\/(-30)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1936 + -1924. Suppose a + 3 - 7 = 0. Let v = 1 + a. Solve 0 = -v*i + 4*l - 3 + c, -i + 4*l + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 41974.38 months?\nAnswer: 3497.865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -22*w**3 + 575 + w**2 + w + 3*w**3 - 577 - 5*w**4 to the form d + y*w**4 + m*w**2 + k*w**3 + h*w and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-1)\/15)\/((-14)\/246) and (-1296)\/(-1600)*-15 - -8.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 5*x - 174 = -3*m, 3*m + 6 = 0. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7158*f**6 - 4581*f**2 + 8840*f**6 - 2355*f**6 + f wrt f?\nAnswer: 1637160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l + 3*z - 183, -z = 4*l - 0*l - 173. Let r be (6\/7)\/(27\/l). Suppose -2*m + 5 = -5. Which is the nearest to -0.1? (a) m (b) r (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 70*j = -152*j - 17*j - 22466 for j.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -743597, -1487196, -2230795, -2974394, -3717993, -4461592?\n\"Answer: -743599*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8262, -33054, -74356, -132150, -206418, -297142, -404304?\nAnswer: -527886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -3*q**3 - 302*q**2 - 6663*q + 66. Give n(-68).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**2*d)\/d**(1\/4))**(-3\/32)*(d**5\/d*d\/((d**(-2\/3)\/d)\/d*d))\/(d\/d**(2\/7))**(-24\/11) assuming d is positive.\nAnswer: d**(235577\/29568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -1\/25, 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d - 2*h - 18, 8 - 1 = 3*d - 5*h. Suppose -3*m - 5*g + 14 = 0, -4*g = -4*m + 10 + 30. Let n = m - 4. What is the highest common factor of d and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -5*m + 34. What is a(15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of 9 and 0.61.\nAnswer: 5.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -125 (b) -0.5 (c) -0.1 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-2)*i)\/(i\/i**(3\/7)))**(-2\/9)\/((i*i**(-1)*i\/i**1)\/((i\/(i*i**(-1)\/i))\/i**1)) assuming i is positive.\nAnswer: i**(85\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {x: 3, b: 2, c: 2, f: 1, t: 4}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, -22.1, 4?\nAnswer: -22.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 694344 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 256024 != 256024?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1 - 0)*(-1)\/3. Let p = 0.778 + -0.378. Which is the closest to 1? (a) -0.4 (b) p (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 6*g**3 + 8*g**2 - 3*g. Let o(r) = 23*r**3 + 33*r**2 - 13*r. Let y(w) = 6*o(w) - 26*z(w). What is the third derivative of y(b) wrt b?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37 = -33*f + 29 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.47 + 0.37. What is the third biggest value in k, -0.3, 1\/2, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*o*v**4 + o*v - 9*v**2 - 169 wrt v.\nAnswer: 72*o*v**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 4221771172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -926, -1882, -2824, -3746, -4642?\nAnswer: -5506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1430873990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -85, -482, -1553, -3634, -7061?\n\"Answer: -56*o**3 - o**2 - 2*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - h + 5 = 4*b, 4*h = b + 10. Suppose 3*w + 2*w + 17 = h*d, -w = -4*d. Let l = -26 + 18. Are d and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 - -1. Let t = 8.02 + y. What is the biggest value in t, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 4*x - 393 = 0, 4*x - 332 = g + 101. Let h = 11979\/29 + g. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -12302757 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 716 or 719?\nAnswer: 716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10214 + 3001012?\nAnswer: 2440243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(252) - ((sqrt(252) - (sqrt(252) + -4)) + 3)).\nAnswer: -30*sqrt(7) + 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -22\/9 and 103\/1278.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 7:50 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6291 is divided by 106.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1259799070 to the nearest integer?\nAnswer: 35494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7518*k**4 + 660*k**3 - 43*k**2 - 2*k - 3319 wrt k?\nAnswer: 180432*k + 3960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 334 times 0.79\nAnswer: 263.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = -3*f - 14 - 0, 6*v + 3*f = -15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 11049 = 3*z, 1253*u = 1249*u + 3*z - 8850. Do -2210 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 436*v - 423*v - 26 = 0. Solve v = 7*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 103 divide 10895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 14 = -2*d + 8*d, -632*x + 3 = 5*d - 636*x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1 + sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -2*sqrt(1300))**2)*-3) + -4 + -1 + ((sqrt(1300) + -1 + 3)**2 - (4*(0 + sqrt(1300)))**2).\nAnswer: -23404 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.18, 2\/1969, 5, 1\/3, -2\/41?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4 and 3412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*n + 4*j - 28, 0 = 2*n + 2*j - 26. Let m = -117 - -171. What is the remainder when m is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.2 or 0.0862?\nAnswer: 0.0862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5 (b) 1.2 (c) 0.053\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*a**2 - 2182298 + 2182298.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of -g**6\/30 - 33*g**5\/10 - 191*g**4\/12 + 145*g. Find the third derivative of z(m) wrt m.\nAnswer: -24*m - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 26 = -4*r. Calculate the remainder when 50 is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oog when three letters picked without replacement from {o: 4, g: 7}.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + -5 - (-51 + 2). Find the third derivative of -u*g**3 - 3*g**2 - 14 + g**2 + 2*g**2 + 3*g**2 wrt g.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 202*g = -676 + 2696 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 + 1. Let m = x - -7. What is the closest to 0 in -0.2, -0.3, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (28\/(-12))\/((-3)\/72). Calculate the greatest common divisor of 14 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 332, 166, 2, -160, -320?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1134 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 3 e when four letters picked without replacement from {j: 1, e: 12}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(112) - (sqrt(112) + 0)) + -2 - sqrt(112)) + 1)*4 + 4*(0 + sqrt(112) + -3 + -5))**2*-4.\nAnswer: -5184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -110.7 - -100. Let l = m - 38. Round l to zero dps.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + b = -4*b - 28, 2 = 5*y + 2*b. Suppose 3*m - m = y*i, -3*i + 15 = 2*m. Calculate the smallest common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.04 - 4.04. Suppose 21*y + 50 = -4*y. Which is the biggest value? (a) x (b) 2\/11 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/18 + 27899998\/(-18). What is h rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g - 19 + 6. Let n be 28*(-3 + g\/(-4)). Let x = n + 2. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = 5*i + 15, -3*i = -5*h + i - 25. Let a = h + 6. Find p, given that 3*p**2 + 4*p + 3*p - a - 4*p + p**3 + 2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -91624 + -4388.\nAnswer: -96012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 113372622?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 0.09*60\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*a**2 - 12*a**2 + 8*a**2 + 7*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the second derivative of -1\/6*t**3 + 0 + 0*t**2 + t. Let b(s) = 6*s. Calculate b(j(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 10568 = -2*h, 2*o + 4*h = -2*o + 42288. List the prime factors of o.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 3:56 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16408?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 1. Let q(v) = 8*v + 1. Let o = -3020 - -3019. Determine o*q(g) + 5*m(g).\nAnswer: -8*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.323419 litres?\nAnswer: 323.419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 7*d**2 + 0*d**2 + 2*d**3 + 5*d - d**3. Suppose 117 = 5*r + 5*k - 8, -2*r - 5*k + 65 = 0. Calculate the lowest common multiple of r and y(-6).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 29*c**2 - 8*c + c**4 + 10*c + 5*c**2 + 2*c**3 - 1 - 35*c**2 to the form y*c + u + f*c**3 + h*c**2 + m*c**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23444734 is divided by 23444729.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10266, 10252, 10216, 10146, 10030, 9856, 9612?\nAnswer: 9286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-51)\/2)\/(19\/(-38)). Calculate the greatest common factor of c and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12122 - -10222?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59209 divided by -3.\nAnswer: -59209\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -8.5681 and -317447992?\nAnswer: 317447983.4319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30.6 + 32.01. Let s = 1.51 - n. Which is the nearest to s? (a) -0.5 (b) -0.1 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 266791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ehd when three letters picked without replacement from {a: 2, r: 2, c: 1, d: 1, h: 2, e: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = 8*f - 5*f. Let v = f + 54. Let y be (-8)\/20 + -8*9\/(-30). Solve 0 = b - 2*b + 4*p + v, 2*b + 4*p = -y for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**3 - 25*z**2 - 15*z + 24. Determine p(13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 6:06 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 1\/27904 and -149\/1536.\nAnswer: 167424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 3 = 5*s - 2, -s = 0. Let d = -2 + 7. Suppose -z + 5*z = 0. Which is the closest to u? (a) d (b) -1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 651 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = s + 12. Let o be u(-8). Let q = 8 + -6. Let r be (2 - (3 - q)) + -1. Solve r = o*p - p + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -135*o**3 + 69*o**3 - 4*o**4 + 68*o**3 + o**2 + 5 to d + n*o + s*o**3 + t*o**4 + v*o**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i - 216 = 8765*a - 8766*a, -2*i - a = 72 for i.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((6*-1)\/3)\/(-2). Suppose 11 = 4*j - 5. Put j, r, -4 in increasing order.\nAnswer: -4, r, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 113214286?\nAnswer: 2, 56607143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - -1 - (-3812 + 3843).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -13001, -20785, -23365, -20735, -12889, 179, 18475?\nAnswer: 42005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 f when three letters picked without replacement from qqqqqffqqqfqffqqqfq?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = -k**2 + 3*k - 2. Determine w(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + 89 + (-10 - (-1 + 8))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -2102022110121 (base 3) to base 14.\nAnswer: -256703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 186059 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 93*p**3*x**3 - 80778*p**3*x**2 - p**3 - 951*p**2*x - 4*p**2 + 2*p*x - x**2 - 2*x - 1 wrt x.\nAnswer: 558*p**3*x - 161556*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 702 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 62680686 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*607.\nAnswer: -242.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43.864036*4.\nAnswer: 175.456144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z + 1. Let d(u) = -4*u + 5. Let j(g) = 5*g - 6. Let v(i) = -7*d(i) - 6*j(i). Let o(t) = -6*q(t) + v(t). Differentiate o(x) wrt x.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.3 - -0.3. Let t = 3 + x. Let k = 35 + -36. Which is the closest to -2\/7? (a) t (b) k (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 7\/4 - 2\/(-8). Suppose n*u + 4 = -2, -2*u - 6 = 4*l. Solve -x + 1 = -l for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -13*b. Let y be x(1). Let g = -9 - y. Suppose 4 = -g*i - 2*v - 2, -9 = 5*i + 4*v. Is 1 at least as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 5*a = -2*o - 10, -3*o + 4*a = 17 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 413 - 373 = -5*i + 2*r, -3*i + 5*r = 24. Let g(f) = -f**3 - 5*f**2 + 26*f + 12. What is g(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 8022 and 18648.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -73 - -439. Let b = 6219\/17 - t. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 294904, 589847, 884792, 1179739, 1474688, 1769639, 2064592?\n\"Answer: i**2 + 294940*i - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -8.61 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11022 and 143?\nAnswer: 143286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -7\/4, -0.2, -101 in ascending order.\nAnswer: -101, -7\/4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7? (a) -12 (b) 120 (c) -0.2 (d) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-1)\/2)\/(4 + -6 + -238). Let m(l) be the third derivative of 0*l**3 + w*l**6 + 1\/240*l**5 - 1\/96*l**4 - 3*l**2 - 1\/840*l**7 + 0*l + 0. Factor m(a).\nAnswer: -a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from wwwwwaawgwweww. Give prob of picking 2 a and 1 g.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 39 divide 27461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 11130 is divided by 659.\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4aa3 (base 11) in base 6?\nAnswer: -50435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.05 * -703665\nAnswer: -35183.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -411 - -3?\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11, 373, 1327, 3161, 6163, 10621, 16823, 25057?\nAnswer: 35611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1314, 1491, 1672, 1857, 2046?\nAnswer: 2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*a + 5291*a**2 + 5277*a**2 - 15894*a**2 + 5298*a**2.\nAnswer: -28*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 553 - 543. Solve -13*l + 16 = -n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37280899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 9 = 11. Suppose 0 = -4*x - 10 + 46. Let y be (6\/x)\/((-2)\/12). Put p, y, -3 in decreasing order.\nAnswer: p, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**5 + 6*k**5 + 0*k**5 + (2*k - 2*k - 2*k**2)*(-k**3 + 0*k**3 + 2*k**3) - 4*k**5 + k**5 + 4*k**5.\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**3 - 3*j**2 + 2*j - 4. Let y be g(-4). Suppose 0 = 3*q + q - 20, -y*q - 137 = -k. List the prime factors of k.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1\/41383 + 3186353\/5710854. Calculate the common denominator of 13\/10 and o.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -12 (b) 292 (c) 156 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -515, -1032, -1549?\nAnswer: -2066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 185 - 184. Which is bigger: q or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -458766 by 67.\nAnswer: -458766\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2 + -6. Let f = -2 + 4. Let k = f + -2.3. What is the closest to -0.1 in v, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h + 30 + 22 = 0. Let w = -15 - h. Let i = 309\/11 + -28. Sort 2\/9, w, i in descending order.\nAnswer: 2\/9, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -50942, -51409, -51876, -52343, -52810?\nAnswer: -53277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((97 - 49)\/(-10656))\/(-1 + (-466)\/(-438)) and -197\/840.\nAnswer: 31080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + (21 - ((9 - -27) + -10) - -2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -3*m, m = -5*o - m + 1379992. Suppose -2*g - o = 2*g. Round g to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/(a*a**(-5)*a)*a\/(a*a**(5\/3)\/a)*a*a)**(-1\/3) assuming a is positive.\nAnswer: a**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 1. Let l(g) = -17*g + 1. Let a be l(1). Let u(s) = 4*s + 16. Determine a*i(r) + u(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/9 of a day in minutes?\nAnswer: 5120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -144? (a) -0.6639 (b) -2 (c) -1\/2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that 9*k + 16*k**4 + 16*k - 52*k**2 - 42*k - 30*k**3 + 11*k = 0.\nAnswer: -1, -1\/8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16 or -1154\/79?\nAnswer: -1154\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 224825879 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 436313 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -g**2 + g - 2. Give f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 4857499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -2201 greater than -1155?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 0.03 (c) -0.5 (d) -1\/3 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = 2*u**2. Let b(g) = 21*g**2 - 27*g. Let t(d) = -3*d**2 + 4*d. Let n(q) = 4*b(q) + 27*t(q). What is n(v(z))?\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be (11 - 1300\/117) + 570\/27. Which is bigger: g or 13?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 16\/((-576)\/135)*4\/(-3). Sort -8, 2\/15, z, -2 in descending order.\nAnswer: z, 2\/15, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6.9 - 6.953. Let h = 0.023 + j. What is h rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -19, -2, -16, -2456 in descending order.\nAnswer: -2, -16, -19, -2456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-1))**(-47)\/(l*l*l**1)**49)**(-23) assuming l is positive.\nAnswer: l**2300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -164*h - 2370. Determine s(-12).\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 31, 1, 27, -3, 2\/17, -0.5 in increasing order.\nAnswer: -8, -3, -0.5, 2\/17, 1, 27, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*((sqrt(833) - 2*sqrt(833)*4) + sqrt(833) - (-4 + sqrt(833) + 0)))**2.\nAnswer: -392*sqrt(17) + 40833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 5*n**4 + 808520*n**3 + 2161336 with respect to n.\nAnswer: 20*n**3 + 2425560*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeeeeteeteeeete. Give prob of sequence te.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0006727695 rounded to six decimal places?\nAnswer: 0.000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 6 + (-14 - -2) - -14\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-25\/2)*f**(-32)*((f\/f**(-12)*f)\/f)\/((f*f*(f\/(f\/(f*f**27)))\/f)\/f) assuming f is positive.\nAnswer: f**(-119\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -3*j**2 - j + 8*j - 7*j. Let h(s) = -2*s. Calculate r(h(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(((x*x**(-2\/19))\/x)\/x))\/x)**(18\/5) assuming x is positive.\nAnswer: x**(378\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -7 * 42.18179.\nAnswer: -295.27253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 2288\/520*50\/55\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7.11 + 7. Let h = -0.11 - s. Which is the nearest to 0? (a) h (b) -0.4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 != 2958861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 1 - 1*(2 - 3). Suppose -1 = -y*b + 15. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**4 - 2*i**4 - 9*i**2 + 6*i + 20*i**2 + 2*i**3. Let n(q) = 16*q**4 - 9*q**3 - 55*q**2 - 30*q. Let g(r) = -4*n(r) - 22*p(r). Factor g(f).\nAnswer: 2*f*(f - 6)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 97, -4\/3, 56, 1\/3 in ascending order.\nAnswer: -4\/3, 1\/3, 56, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**3 + 3*o**2 - 2*o - 4. Suppose 2*d + 4 + 10 = 0. Let x be 2\/d - 46\/(-14). What is p(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 - 19*n**2 - n - 17. Let b be v(-19). Suppose 3 = b*o - o. Calculate the lowest common multiple of o and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4935196.9758 + -4935280.475798638. Let k = p - -83.5. What is k rounded to 7 dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -b - 7. Suppose -50 + 210 = -5*c. Let x = c + 26. Give r(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7\/117 - -151\/1872. Suppose 4*j + 3 = 7. Which is smaller: t or j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 99005 + -0.2\nAnswer: 99004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -2*r**3 - 12*r**2 - 11*r + 14. Let c be g(-2). Let o(q) be the first derivative of -1\/3*q**3 + 7 - 1\/4*q**c + q + q**2. Calculate o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 724 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 17, 2, 1\/4, 0.12.\nAnswer: -4, 0.12, 1\/4, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42166*r**2 - 42 + 42.\nAnswer: -42166*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 4050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -522240 + 14?\nAnswer: -522223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 126 and 145161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) be the second derivative of i**5\/90 + i**4\/27 + i**3\/27 - 7*i. Find d such that f(d) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/9, 8, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = r. Let m(d) = -15*d + 1650. Calculate w(m(j)).\nAnswer: -15*j + 1650","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*g - 212 = -36*g - 5*t, -t = -5*g + 316. What is the greatest common factor of 8 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 15) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 1148.\nAnswer: 2296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 6499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 9+20.16485\nAnswer: 29.16485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -61*s**4 + s**3 - 167?\nAnswer: -244*s**3 + 3*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19655?\nAnswer: 5, 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s = -4*u - 7*s - 21, 5*s + 9 = 2*u. Let w(v) = -v**2 - 3*v - 3. Determine w(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*(s\/(s\/s**1))\/s)**(4\/11)\/(s**1*s**(-1\/9))*((((s**2\/s*s)\/s)\/s*s)\/((s\/s**(-1))\/s))**(2\/3) assuming s is positive.\nAnswer: s**(-52\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -l. Let a(g) = -8*g. Let u(p) = -78*p**2 + 240*p. Let n(b) = 60*a(b) + 2*u(b). Calculate i(n(f)).\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**3 + 6*w**2 - 5*w + 2. Let s be g(5). Suppose 3 = -3*z - 5*y + 5, -2*y = -s*z + 28. Solve 4*l + 4*o = o - 3, 0 = -5*l - 2*o - z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, a: 1, t: 4, c: 3, g: 4, q: 2}. What is prob of picking 1 c and 1 q?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-13)*q)\/(q**(2\/7)\/q))**41 assuming q is positive.\nAnswer: q**(-3239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -11.7 * 0.02\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 6728 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 663001915?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -559*j**2 - 612*j**2 - 395*j**2.\nAnswer: -1566*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yyh when three letters picked without replacement from {y: 13, x: 4, h: 3}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {c: 3, z: 7}. What is prob of picking 2 c and 1 z?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 5991*o - 491261. Calculate a(82).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -4*l - 58. Let g be p(-13). Let w be 177\/12 + 4\/16. Let q be 2\/6 + (-110)\/w. Which is smaller: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -5*t - 30. Let i be x(-6). Let b = 83 + 49.7. Let f = b + -133. What is the closest to i in 2, 0.5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from drkrkrrrrdrrkkrkrrk. Give prob of picking 2 k and 1 d.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**2 - 8*s - 2. Let f be d(-4). Let v = 87 + -52. What is the highest common divisor of f and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 342207946 a multiple of 1798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnndddvnnnnnddnnnddn. Give prob of picking 1 n and 1 d.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = 71 - 71.007. Let i = 0.012 - x. Round i to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 3*p - p - 44, 4*p = -j + 103. Suppose -f = 4 - p. Calculate the remainder when 90 is divided by f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/169, 0, 1, -16 in increasing order.\nAnswer: -16, 0, 1\/169, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*i + 16207 - 42575 = 42146. What are the prime factors of i?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the third derivative of -j**5\/30 - 4283*j**2. Let l(n) = 1539*n. Determine l(p(y)).\nAnswer: -3078*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*s**2\/5 - 396*s\/5 - 2592\/5.\nAnswer: 6*(s - 72)*(s + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1095\/8 - 137. Is h greater than 0.16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 18.3 (b) -0.2 (c) 3\/2 (d) 87 (e) 0.1 (f) -2\/7 (g) -0.1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 6) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the second derivative of n**3\/3 - 4*n. Let z be r(1). Suppose f + 4*g = g + z, -3*g = 4*f - 8. Solve 0 + f = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of -z**5\/15 + 29*z**4\/6 - 52*z**3 + 398*z**2. Factor c(l).\nAnswer: -4*(l - 26)*(l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 83*m + 64. Is b(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 15 = 5*n, -4*m - n = -0*m + 3. Suppose m = -2*k - 0 + 4. Find the second derivative of -2*g + 61 - 61 - k*g**5 wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5.42728 to 1 dp.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 5:33 AM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 830 - 66 = 0. Let s = h - 89. Calculate the highest common factor of s and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**3\/8 - 231*i**2\/4 - 114*i.\nAnswer: -3*i*(i + 2)*(i + 152)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 212 - 11*p - 212 + 10*p to the form g + a*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**2 - 4*k - 4. Let h be j(-7). Let i(s) = s**3 + 25*s**2 - 3*s - 75. Let z be i(h). Let y(d) = -d**2 - 25. What is y(z)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 32 times -0.3\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 220768.8 to the nearest one hundred.\nAnswer: 220800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = -33 - -15. Is r > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*y + 147 = 52*o, 0 = -3*o - 2*y - 1832685 + 1832700 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 635 divide 2009118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide -4385 by 1.\nAnswer: -4385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -w**3 - 16*w**2 - 71*w - 595. Calculate j(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -0.3, -141 in descending order.\nAnswer: -0.3, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1502 is divided by 747.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2988 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*x - 32*x - 149 = -8*x - 734. Calculate the remainder when (232\/3)\/((-2)\/(-6)) is divided by x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 2970*p - 67. Is h(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from {r: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 27073623 to the power of 1\/2, to the nearest integer?\nAnswer: 5203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 10870274324 and 27758.\nAnswer: 10870302082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 AM and 7:53 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w - 6. Let s(i) = -179*i + 3583. Let r be s(20). Let u(c) be the second derivative of -3*c**2 + 2*c. Calculate r*u(n) - 2*x(n).\nAnswer: -2*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 13853, 1, -2, -2\/5, 0.74?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/8, -1, 1\/3, 5 in descending order.\nAnswer: 5, 1\/3, 1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*i - 10 = 4*k - 5*i, 0 = 2*k + 2*i + 14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8323, 16645, 24967, 33289?\nAnswer: 41611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -139, -3, -0.4, 765, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j - 2. Let q be l(-3). Suppose -2*x - q = -37. Suppose -16*y - 638 = -x*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1532744209 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -2\/11 (b) -4\/29 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 187*l + 1141*l + 180*l + 63336 = 0 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*k - 299 + 291 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1080564000 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rgqi when four letters picked without replacement from {j: 12, q: 2, i: 2, g: 2, r: 1}?\nAnswer: 1\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -5 (b) -115\/2 (c) -2\/3 (d) -8 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*r + 10*r - 84. Sort r, 7, -4, 5 in decreasing order.\nAnswer: 7, 5, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 - 0.5. Let i be 1*(-2 + 3) + 3. Suppose 2*c = i*r, 3*c + c = -5*r. Put -0.4, c, j in descending order.\nAnswer: c, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63163143871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 391 - -14?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*f + 6 - 6)*(-5 - 2*f + 5)*(-5*f + 2*f + 2*f).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(432) + -3 + 2*sqrt(432) + 2)*4*2 + 1.\nAnswer: -192*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2 - -1. What is the closest to o in 4, -1\/2, 0.1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -8*h**3 - h**2 - 3*h - 2. Suppose -3*z = -3*q - 21, 4*q + 80*z + 34 = 85*z. What is c(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32, 328, 1056, 2408, 4576?\nAnswer: 7752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do 172712 and 172708 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -4*a. Suppose 0 = -3*y + 6. Let c(g) = 7*g - 7*g - g**y. Determine c(t(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 4975598070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 26712002 to the nearest integer?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -7276*f**5 - f**4 + 13*f**3 + 32544*f**2 + 116*f.\nAnswer: -436560*f**2 - 24*f + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 179 smaller than 179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/5)\/(-20*(-9)\/720)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*t**2 - 12*t**2 - 12*t**2 + 2*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -315, -701, -1085, -1467, -1847, -2225, -2601?\n\"Answer: b**2 - 389*b + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10034357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 426*i - 58297 - 77445 = 1698*i + 754*i for i.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-2)\/3)\/(10\/45). Let n = -54409\/9 + 6045. What is the third smallest value in y, 0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:51 PM and 5:11 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2715 plus 0.1?\nAnswer: -2714.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**3 - 115*d**2 - 715*d - 605.\nAnswer: -5*(d + 1)*(d + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = -0*f + 4*f + 13, -2*f - 5 = m. Suppose s + 57000005 = 2*s + i, -4*i = m*s - 171000020. What is s rounded to the nearest 1000000?\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.6*0.77\nAnswer: -0.462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u = -8*u + 18. Suppose -5*h = k - u, 0*k + 9 = k + 4*h. Suppose q = 4 + k. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15116 = -79*y - 13773 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 567 less than or equal to 567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Product of -1478 and 1.\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100 - -1000000?\nAnswer: 1000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 + -18)*(-6 + -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 112 + -112. Suppose 0*x + 4*f - 1000 = -4*x, 3*f - 15 = c. Suppose 1715 = 7*k + x. List the prime factors of k.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*d + 5*o, -3*o - 8 = -2*d + 5. Suppose 0 = g - d, -3*k - 4*g = -20 - 15. Which is smaller: k or 6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-30)\/6)\/(-90)*(-144)\/96*80\/24?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/6 + 57\/72. Let h = 1\/8 - t. Let g(j) = j**2 + 6*j - 8. Let q be g(-7). Which is bigger: q or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/(-16) + 615\/(-328)?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 5*p**2 + 3*p + 1. Let d be s(-1). Suppose 3*c - 21 = 3. Suppose 0 = a - d*a + c. Solve a*b = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) 2335 (c) -0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 34731 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-1\/4)*j)**(2\/7)\/((j**4\/j)\/(j**(-9)*j)) assuming j is positive.\nAnswer: j**(-151\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -863, -864, -865, -866, -867?\n\"Answer: -r - 862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 2*o**3 - 105*o**2 + 153*o + 41. Let y be h(51). Solve 22*i - 19 + y = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-150 - -139) + 0 + 235 is divided by 154.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 5*i = i - 43576, -10909 = -u - 4*i. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = d + 1760. Let o be b(0). What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the second derivative of -7*q**3\/6 + 7*q**2\/2 - 4*q. What is the first derivative of c(u) wrt u?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m**2 - 5*m**2 + m**3 + (-5 - 1 + 3)*(797*m**3 - 169*m**3 + 221*m**3).\nAnswer: -2546*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 26708708 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of b**4\/4 - b**2. Let z(t) be the second derivative of -t**3\/3 + 65*t - 1. Give z(d(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 604.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 8 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 462961.\nAnswer: 17, 113, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 97, 73, 27, -47, -155, -303, -497?\n\"Answer: -o**3 - 5*o**2 - 2*o + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1096816042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r**4 + 2*r**4 - 2*r**4)*(1 + 2 + 0) - r**3 + r**4 + r**3.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -45898*f + 275500. What is r(6)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express -c**4 - c**4 + 788 - 3*c**2 + c - 4*c**3 - 790 as p*c**4 + g + z*c**3 + o*c + w*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express -831*t + 522*t - 875*t - 609*t - 988*t in the form n*t + c and give n.\nAnswer: -2781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2597*n + 2701*n + 492714 = 0 for n.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1982322, 3964648, 5946976, 7929306?\nAnswer: 9911638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -96, -84, -58, -12, 60, 164, 306, 492?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 5, a: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-4\/7))**(-29)\/(d**37*d*d**20*d) assuming d is positive.\nAnswer: d**(-297\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/1264 and 95\/3442662?\nAnswer: 27541296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 2*s + 2*s - 6, 3 = 3*s - 3*h. Let j be 4\/((-8)\/42)*s. Let w be j + -3*(-2 + 3). Solve 5*f = -0*f - 20, -2*v - w = 4*f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 n, and 1 u when four letters picked without replacement from jndiudnux?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 3*g - 1690. Let k(o) = -3*o - 68. Let v be k(-24). Suppose v*c - 2617 = -g. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 12:55 AM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 161.85 + -161. Let r = 1.15 - g. Suppose 4*i - 17 = 3. Which is the biggest value? (a) i (b) r (c) -0.02 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0, 1, -2, 9, 374.\nAnswer: -2, -1, 0, 1, 9, 374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 3*x - 204*x**2 + 2*x + 10 + 207*x**2 - 6*x. Suppose -6 = -2*y + 5*i, -2*y - 3*y + i + 15 = 0. List the prime factors of s(y).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 - (-17 - -10 - (0 + -4))) + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55, 112, 913, 2830, 6235, 11500, 18997, 29098?\nAnswer: 42175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -44.48 * -36.7\nAnswer: 1632.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8578, -8518, -8366, -8080, -7618, -6938, -5998?\nAnswer: -4756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 385 divide 53828823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Are 206\/11 and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -664130 greater than or equal to -664130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - -b3a87?\nAnswer: b3a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2754 + 22*a**3 + 2754.\nAnswer: 22*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(1\/12)*h\/(h*h**7)*h**(2\/3)*h**(-21) assuming h is positive.\nAnswer: h**(-109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2.2 and 0.007.\nAnswer: 0.0154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.49489 plus 5?\nAnswer: 5.49489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 1 = 9. Let m = 709\/7 - 102. Are m and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 6*u + 43. Let d(h) = 3*h**4 + 5*h**3 + 11*h**2 + h + 4. Let p(x) = -x**4 - x**3 - x**2 - 1. Let w(i) = u*p(i) - d(i). Factor w(b).\nAnswer: (b - 1)*(b + 1)**2*(3*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001358061 rounded to 7 decimal places?\nAnswer: 0.0001358","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -5920770 rounded to the nearest 1000?\nAnswer: -5921000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 3\/(-22 + 4) - (0 + 0). Put -14\/5, r, 1, -3\/2 in ascending order.\nAnswer: -14\/5, -3\/2, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -1 + -2 + 1*(((1 + sqrt(1053))*2)**2 + sqrt(1053)) + (sqrt(1053) - -1*(0 + sqrt(1053)) - (5*(0 + sqrt(1053))**2 - sqrt(1053))).\nAnswer: -1053 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h. Let t(m) = -60*m + 80. What is t(k(p))?\nAnswer: -60*p + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**2 - 28*z + 629. Give b(15).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 78 = -78. Let y be (16\/(-10))\/(228\/(-30) + 8). List the prime factors of (-63)\/y - (-13)\/p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 179*w + 14. Let n(r) = -89*r - 6. Calculate 4*k(g) + 9*n(g).\nAnswer: -85*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -161\/195 + 9\/13. Which is the closest to 2? (a) 0.06 (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -3d9 (base 16) to base 9\nAnswer: -1314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 765, 1530, 2295, 3060, 3825, 4590?\n\"Answer: 765*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**3 + 7*w**2 + 7*w + 6. Let x be n(-6). Suppose -6*s + s + 80 = x. Calculate the highest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2311, -2318, -2335, -2368, -2423, -2506, -2623?\nAnswer: -2780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 688\/5 + -138. Suppose -2 = -v - 5. What is the closest to p in v, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15427\/51390 - 1\/5139. Calculate the common denominator of m and (-12)\/18 + (-29)\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 261*k**2 + 71214*k - 71214*k.\nAnswer: 261*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -4, 4, 2 in decreasing order.\nAnswer: 4, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -995, -2989, -6961, -13901, -24799?\n\"Answer: -165*x**3 + x**2 - 842*x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 39 + 218. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of -11 - -11 - (-2 - 2)\/2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 317 - 183. Let w = -134 + t. Solve w - 2\/5*g**2 - 4\/5*g = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) -0.2 (b) 14.2 (c) -3\/7 (d) 100 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p - 50 + 5. Let h be (-395)\/((-1)\/(42\/35)). Calculate the common denominator of 6\/(-80)*h\/p and 14\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-34)\/51*18\/14*7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 117479, 117489, 117525, 117599, 117723, 117909?\nAnswer: 118169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12670)\/4525 + (-124)\/(-30). Solve 4\/3*i**4 + x - 16\/3*i**3 + 11\/3*i - i**2 = 0 for i.\nAnswer: -1\/2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -74\/2145 and 29\/1093365?\nAnswer: 12027015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 32670?\nAnswer: -9801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*s**2 + 6 - 6)*(-36*s**2 + 97*s**2 + 37*s**2) to c + x*s + u*s**4 + q*s**2 + t*s**3 and give u.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**2\/y)**(-6)*y**(-6)*y\/(y*y\/y**(-13)) assuming y is positive.\nAnswer: y**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 10739396 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 5830*r**3 + 31732*r**2 - 34*r - 34. Let t(s) = 1458*s**3 + 7933*s**2 - 8*s - 8. Let l(h) = 4*j(h) - 17*t(h). Find the third derivative of l(y) wrt y.\nAnswer: -8796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5301095 + -9198905. Round w to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + n - 3 = -2, -t - 2*n + 2 = 0. Solve 3*y = x - t*x + 13, 2*x + 22 = 5*y for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of -103*u**6\/5 - 935*u**3\/6 - 81*u**2 - 8*u. What is the first derivative of a(w) wrt w?\nAnswer: -7416*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d such that 14*d**2\/15 + 45788*d + 392464\/15 = 0.\nAnswer: -49058, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*b - 14 = -2*f - 15 - 33, -2*b + 4*f - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 22 + -10. Suppose 0*m + h = -3*m + l, 2*m - 2*h = 0. Suppose 6*r - m*r = -6. Let z(f) = 2*f**2. Determine z(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 5)*(-y + 0*y + 0*y) + (-2*y + 4*y - y)*(-18 + 1 + 0) - 5*y + 2*y + 2*y.\nAnswer: -20*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.13370298 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000101 + 101111111110110?\nAnswer: 101111110110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2450 - -12292\/5. Suppose -3*r + 7*x - 2*x + 184 = 0, 5*x = -25. What is the common denominator of 2 + 1 + r\/(-11) and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48214 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -5, 6, -3, 1\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 + (894 - 866) + (-2 - 14).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1a818 (base 12) to base 14\nAnswer: -103d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -6*n**2 - 1. Let h = 14 - 23. Let z be 5\/15 + (-6)\/h. Let k be v(z). Is k at least as big as -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 393 + -202. Let i = p + -1. Suppose l - 44 = -4*s + 9, -5*s = 5*l - i. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add -52979603 and 21034.\nAnswer: -52958569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -5*w - 90915, 10*f = 4*w + 7*f + 72732. What is w rounded to the nearest one hundred?\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a**3 + 14*a**2 - 3*a - 11. Let i(o) be the first derivative of -o**4\/4 - 5*o**3\/3 + o**2\/2 + 4*o + 28. Give -11*i(d) - 4*t(d).\nAnswer: -d**3 - d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 20577 - 127145 = -1384*r for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 6*a - 4*a. Suppose -a*z - 6 = -12. Let v be 0 - 0 - (-1 - -6). Sort -2, z, v.\nAnswer: v, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*s = 2*k + 76, -s - 449 - 252 = 22*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2355*y**2*z**2 - 21*y**2 + 673*y*z + z**3 wrt z?\nAnswer: 4710*y**2 + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 9\/(-45) + (-11)\/(-5) + 2. Let f(q) = 4*q**3 - 2*q**2 - 7*q - 7. List the prime factors of f(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 15, i: 5}. What is prob of picking 3 i?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -2*x**2 - 67*x + 192. What is q(3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6\/2*3\/(-63)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*r - 117617 = 314383. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjllj.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12379 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*w**3 - w**2 - w**2 + 0*w**2 - w**4 - 2*w**4 to the form h*w**2 + f + t*w + k*w**4 + o*w**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 0.3, 5, 2, 6\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**3 - 9*l**2 + 16*l - 7. Let i(m) = -m**2 + 14*m - 33. Let r be i(10). Let b be v(r). Solve 0 = 2*n - b*n + 5*a - 5, 2*a - 12 = 4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-7392)\/(-7920)*(-1)\/(12\/(-45))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 29806747 != 29806758?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*m**5 - 760*m**4 + 47604*m**3 - 947968*m**2 - 2244608*m + 3145728.\nAnswer: 4*(m - 64)**3*(m - 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + h = 41, -3 = -0*c - c + 3*h. Let n be 7 + 0*3\/c. Solve 4*j + 5 = w, 15 = 2*w - n*w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) -3\/5 (b) 0.071 (c) 14\/9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 2 times -36\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 51428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -170 and -0.603.\nAnswer: 102.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2599.97 - -2576.9642. Let z = 23 + k. What is z rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10 + -9. Suppose -u + 2 = -1. Calculate the greatest common divisor of v and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - l = 4*f + 32, -3*f + l = 14. Let i(k) = k**2 + 3*k - k + 0*k**2 + 3*k**2 - 4. What is the remainder when 102 is divided by i(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1906128)\/13328 + 143)\/(10\/(-21))?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 51 and 0.1364.\nAnswer: 51.1364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 + 14*m**2 - 24*m + 93. Calculate k(11).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - (-2 + (-2)\/1). Let h be (0 - -16)\/p + 66. Let j = -41 + h. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 314761 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 36948325*j**3 + 203877*j**2 + 48*j.\nAnswer: 221689950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 493154 is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 6788?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (27 + -28)\/(2\/(-486)). Let r = k - 1216\/5. What is the biggest value in -3, 1\/3, r, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + 7*k**2 - 2*k - 6. Let q be x(6). Let l = 117 + -115. Calculate the highest common factor of l and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 3*x**2 + 6*x. Let l(b) = -b. Let y(i) = -a(i) - 6*l(i). Let t(g) = -3*g + 4. Calculate t(y(k)).\nAnswer: 9*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 323, 327, 333, 341, 351?\n\"Answer: f**2 + f + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**2 - 41*s - 39. Let x be w(41). Which is greater: -37 or x?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**3\/15 - 194*c**2\/3 - 324*c\/5 = 0.\nAnswer: -1, 0, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 45 and 1096305?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 + 400\/12)*(-3)\/(-2). Let j = w - 33. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 58 and 3426408.\nAnswer: 3426408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) be the third derivative of -a**5\/30 + 13*a**4\/8 + 73*a**3\/6 - 19*a**2. Differentiate g(l) wrt l.\nAnswer: -4*l + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 625 - 625 - 3*t**3 + 2*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fwk when three letters picked without replacement from {w: 7, f: 5, k: 1}?\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 1 = -q. Let k = q - 1. Is 254*3\/(8 + k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -38 - -72. Let o = 51 - f. Let u = 23 + o. What is the remainder when u is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 382861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1637 a factor of 37691925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -14*v**2 - 7*v. Let q(i) = 13*i**2 + 6*i. Let h = -95 + 487. Let y = -385 + h. Give y*q(j) + 6*z(j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 2) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 110357*j**4 - 110381*j**4 + 83 - 30 + (j**2 - 2*j**3 - j**2)*(0 + 0 + 2*j).\nAnswer: -28*j**4 + 53","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + m + 4 = 0, 2*l - 4*l + 3*m = -12. Let x(t) = -t - 2. Determine x(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -26815*u**3*x**3 - 9*u**3*x + 27*u**2*x wrt x.\nAnswer: -160890*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyb when three letters picked without replacement from yybbkbyibbkkbyky?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 395633293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-9)\/(r*r*r**(-9)\/r))**(19\/6)\/((r**(-1\/4))**7\/(((r*r*r*r**(-2\/5)*r)\/r)\/r**(2\/19))) assuming r is positive.\nAnswer: r**(1229\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) be the second derivative of p**5\/30 + p**4\/8 - 5*p**3\/3 - 7*p**2\/2 - 4*p. Let n(v) be the first derivative of l(v). What is the units digit of n(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -394\/3 + 135. Let l = 17\/6 + i. Let d(v) = 7*v. Let p be d(1). Do p and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 128 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1297 + 67 = 4*i. What are the prime factors of i?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + (5 - 6 - -3 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5506*x*y**2 + 3*x + y**2 - 19163 wrt y.\nAnswer: -11012*x*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of i**4\/24 - 13*i**3\/6 + 13*i**2 - 2*i. Calculate the smallest common multiple of 10*2 - (0 - -2) and z(33).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1916, -1935, -1980, -2063, -2196, -2391, -2660, -3015?\nAnswer: -3468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -11*r**2 - 6*r + 7. Let a(m) = -10*m**2 - 6*m + 6. What is -6*a(q) + 5*o(q)?\nAnswer: 5*q**2 + 6*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2353)\/543*12\/(-182)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -243d - 3?\nAnswer: -2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((2*(sqrt(228) - (((sqrt(228)*-2 + sqrt(228) - sqrt(228))*5 - sqrt(228)) + sqrt(228))))\/(sqrt(48) + -3*sqrt(4800)))**2.\nAnswer: 4822\/841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3528)\/198 - -25 - (8 - 1). Which is the nearest to -6? (a) v (b) 3 (c) 120\/11 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-6 + 6 + 1)*(47852*j**2 - 346*j**3 - 47852*j**2) + (4*j**2 - 4*j**2 + 3*j**3)*(-3 + 2 - 1) to the form f + s*j**3 + n*j + k*j**2 and give s.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, l: 2, h: 1, x: 2, r: 2, i: 1}. What is prob of sequence vxi?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the first derivative of 3*j**5\/5 - 255*j**2\/2 - 117. What is the second derivative of c(w) wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1117 divided by 151?\nAnswer: 1117\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000099981 rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2.16248595 rounded to three decimal places?\nAnswer: 2.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10110001 - -1110110001100001?\nAnswer: 1110101110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((2*((sqrt(1700) + -1)*-2 - sqrt(1700) - (sqrt(1700) + (sqrt(1700) - (0 + sqrt(1700) + sqrt(1700) + 0)))) + 3)*4)**2.\nAnswer: -979984 + 13440*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-13050\nAnswer: -1305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 1 a, and 1 y when three letters picked without replacement from {a: 1, r: 2, y: 1, f: 1, o: 1, p: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-28*3\/(-234))\/((-1424)\/(-6408))\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*f = 6*f - 4134. Let v = -188 - f. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1225*v**5 - v**4 - v**3 + 38*v**2 - 2*v + 105 wrt v?\nAnswer: -73500*v**2 - 24*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 65 divide 2816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1626005005 to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 2) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 100, -5, -2, -1624, 0.5 in descending order.\nAnswer: 100, 0.5, -2, -5, -1624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, -6, 3 in descending order.\nAnswer: 3, 1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -11, 0.4, 0.5, 68.94, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 3\/58 (b) 3\/22 (c) -8 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2712\/11, 0.05, 5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 20232.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 - -d37?\nAnswer: d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 0.2, 74\/3, 4\/31, 1\/14, -6.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 57*s**2 - 10*s + 6. Let a(l) = 57*l**2 - 8*l + 6. What is -4*a(k) + 3*u(k)?\nAnswer: -57*k**2 + 2*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3957*h - 1 + 14*h**3 - 17*h**2 + 16*h**2 + 3956*h to n*h**2 + c*h + l*h**3 + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -290*p + 275*p + 105 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 140093927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t**3\/3 + 244336*t**2\/3 - 1492453154*t\/3 - 597020356\/3 = 0. What is t?\nAnswer: -2\/5, 12217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 3*h - 5, 4*m + 5*h = 2 - 5. Let d be (-2 + -1)*m\/3. Solve 15*j**3 + d*j**3 + 4*j**2 - 3*j**3 = 0 for j.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 6\/23, -0.1 in descending order.\nAnswer: 6\/23, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1702 and 138?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-3\/11))**(-42)\/(c\/c**(-2\/49))**(5\/19) assuming c is positive.\nAnswer: c**(114501\/10241)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 30 + 9 = -2*u, 2*q = -5*u + 25. Factor 4*y**u + 42*y - 84*y + 42*y - 4*y**2.\nAnswer: 4*y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes after 3:54 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*f - 4*f + 24*f**3 - 2*f.\nAnswer: 24*f**3 - 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 2301 + 2*u**3 - 2301 - 12*u**4 + (-u**2 + u**3 + u**2)*(-6*u + 2*u + 2*u) + 5*u**4 - 4 + 4.\nAnswer: -9*u**4 + 2*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-26) - 1104\/6838. Let c = 568\/5523 + m. Do 1 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 117912 >= 117912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18340027 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 450494 and 450494 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) be the third derivative of a**8\/336 - a**6\/40 + 4*a**5\/15 + 3*a**2 + 14. Find the third derivative of x(m) wrt m.\nAnswer: 60*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 52*g**2 + 223 wrt g.\nAnswer: 104*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -91 divided by 386976\nAnswer: -91\/386976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -151 (b) 2 (c) -36 (d) 4 (e) -116\/7 (f) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -x**4\/5 - 30682*x**3 - 5882889909*x**2\/5 + 11768572044*x - 10591963380 = 0.\nAnswer: -76710, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s**3\/4 - 21*s**2 - 531*s\/4 + 47027\/2 = 0. Calculate s.\nAnswer: -31, 41, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18195 is divided by 103.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, h: 4}. Give prob of sequence hhd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1972*t + 2867*t + 2408*t - 1507*t to w*t + a and give w.\nAnswer: 5740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 - (-6 + (4 - -2)) - -14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-2\/9)\/x*x)**(35\/4)*x*x**4\/x*x**(-4\/9)*x assuming x is positive.\nAnswer: x**(47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is ((-280)\/1260)\/((-2)\/135) + -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0\/4)\/(-1 + 0). Let s(x) be the third derivative of -x**5\/60 + x**4\/12 - x**3 - 12*x**2. Let u be s(o). Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1965)\/(-11397)*-4*1\/(-1100). Suppose 6*k - 2 = 3*k - w, 0 = 4*k + 4*w - 8. Are k and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes before 4:52 PM?\nAnswer: 6:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 182*c = -35956 + 659124. Solve 3*b - 3418 = -c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1790 times 1.2?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.1 in 2\/117, 0.4, 19?\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 3*b = -80, 11 = -3*r - 2*b - 174. Let p = -93 - r. Round p to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 535421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -110, -420, -936, -1658, -2586, -3720, -5060?\nAnswer: -6606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -145, -217, -143, 149, 731, 1675?\n\"Answer: 12*a**3 + a**2 - 159*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 61\/17000 - 1\/1700. Find the common denominator of 13\/275 and z.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -503 * -0.104.\nAnswer: 52.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of p**3 - 1. Let c(l) be the first derivative of -3 - 1\/2*l**2 + 0*l. Calculate c(i(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-264)\/(-2442))\/((-380)\/285)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-35)\/(-30) + -1 + 0. Let b(p) be the first derivative of -1\/9*p**3 + i*p**2 + 2 + 0*p. Factor b(g).\nAnswer: -g*(g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55021197 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 156067 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -22*f**2 - 3*f - 2. Give x(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t and 1 x when four letters picked without replacement from {t: 11, x: 5}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -7*j + 4. Let i(a) = -3*a + 1. Let z(g) = 5*i(g) - 2*k(g). Let l(u) = -6*u - 16. Give 2*l(b) - 11*z(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:19 PM and 5:01 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 259141?\nAnswer: 259146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -563*c**2 - 18*c + 4 wrt c?\nAnswer: -1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3527, -3402, -3237, -3014, -2715, -2322, -1817, -1182?\n\"Answer: 3*k**3 + 2*k**2 + 98*k - 3630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r = 91 + 39. Suppose 5*m - 65 = -3*u, -4*u = 3*m + 2*m - 60. Differentiate -r + 5*k - m*k**2 - 5*k with respect to k.\nAnswer: -32*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 2 - 2)*(-1 + 2*b + 1) - 3152 + 3152 + 6*b**2 + 9*b.\nAnswer: 2*b**2 + 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3.444 - 3.944. Sort -204, 2\/9, r in increasing order.\nAnswer: -204, r, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s + 22 - 0. Let w = -11 - s. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7269691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 1.8, 5 in increasing order.\nAnswer: 1.8, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 127990956?\nAnswer: 2, 3, 10665913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-6)\/((6\/2)\/3). Let o be 6\/(-9)*b\/4. Suppose o = 4*a - 3. Solve 4*d - 7 - a = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1159460959.\nAnswer: 19, 79, 772459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*a = -19*a - 3*x + 9, -a - 3*x + 9 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4477\/5 - -883. Let v = g + 12. Which is the third biggest value? (a) v (b) 2\/11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24275705?\nAnswer: 5, 97, 50053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 744322800 rounded to the nearest one million?\nAnswer: 744000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be 128\/228 - (-2)\/(-3). Let i = -23\/38 - x. Let j = 1.5 - -0.5. What is the nearest to i in 0.2, j, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 323910 and 51606?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -11.4677*56.\nAnswer: -642.1912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, i: 8, z: 2}. What is prob of sequence yii?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/63 in 29, 265, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*s - 4713 = -4537. Suppose -2*r - 3*r = -80. Let p = s + r. Solve 0 = -p*k + 2*k - 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -662.9678 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 1029.153km to micrometers.\nAnswer: 1029153000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y, 1 m, and 1 c when three letters picked without replacement from {f: 2, c: 4, w: 1, y: 3, m: 2}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 684407189 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -7207 - -7335. What is the remainder when k is divided by 47?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*(o\/(o*o*o**(2\/5))*o)\/o)\/o**(-2))\/(o**(-2\/3)\/o*o**5*o))\/(o**(-1)*o\/(o\/o**1*o)*o\/(o*(((o**(-3)*o)\/o)\/o)\/o)*o**1) assuming o is positive.\nAnswer: o**(-116\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -2489.019645 rounded to the nearest integer?\nAnswer: -2489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 70\/(-15) - 333355\/(-74385)\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -5*i - 40. Let w(s) = -s - 5. Let x be w(4). Let p be h(x). What is the closest to 0.1 in -4, -1\/8, p?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 220480438 is divided by 1460.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 19572882 and 13430.\nAnswer: 97864410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o - 1. Let z be d(-6). Let b(l) = 4*l + 2 - 11 - 9*l + 4*l. Let s be b(z). Let r(y) = -3*y**2 - 2*y. Determine r(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14 - -21. Let j(z) = z**2 + 6*z + 5. Let d be j(6). Calculate the highest common divisor of d and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22259 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 488940 is divided by 122234.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 15, -2\/11, -1\/9?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -18930, -37053, -55176, -73299?\nAnswer: -91422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15688, 31381, 47074, 62767, 78460, 94153?\nAnswer: 109846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 7215 divided by -3?\nAnswer: -2405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/9? (a) 0.3 (b) -4.92 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -396*z - 295274 = -6422*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 880 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -285*a + 2*a**2 - 307*a + 592*a + 0*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 70\/1868953 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the first derivative of -v**6\/30 - v**3\/2 - v - 1. Let t(r) be the first derivative of s(r). What is the second derivative of t(y) wrt y?\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10753, -10763, -10773, -10783, -10793?\nAnswer: -10803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 3 to the power of 1\/2, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 21 and 6447?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - 0 - (-5 - (-6 - -6)) - (68 + -65).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -82*s**3 - 5*s**2 - 6*s - 2. Let h be t(-2). Let f = h + -388. Suppose -3*w + 1761 = -f. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1, -1.39, 6\/19, 0.2, 0.3 in descending order.\nAnswer: 6\/19, 0.3, 0.2, 0.1, -1.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (0 + (39 - 29) - -9) + 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 25596146 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/(((-10)\/5)\/(-32)). Is d greater than or equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 484981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1729513.2 + -1729512.73999908. Let w = 0.46 - m. What is w rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -164 = -24*b - 136 - 364 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4 - 50\/15) + 14\/6. Suppose -l*d + 605 = -3*m - m, 0 = -5*d + 5*m + 1000. List the prime factors of d.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 24*q**2 - 14*q + 29. What is the remainder when d(2) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 36.0151 + -36.0696633. Let i = z + 0.0546. Round i to 6 decimal places.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = 142 + 20. Let z be 9*(-2 + -1 - -6). What is the greatest common divisor of z and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -10 - -3143?\nAnswer: 3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*j**2*p**2 - j**2*p + 2*j**2 + 133100*j*p**2 + j*p - 87*j - 37*p wrt p.\nAnswer: 18*j**2 + 266200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s**2 + 10*s - 6. What is w(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the second derivative of -b**6\/1620 - b**5\/180 + b**4\/27 - 43*b**3\/3 + 85*b. Let k(r) be the second derivative of p(r). Factor k(f).\nAnswer: -2*(f - 1)*(f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 502 minutes after 5:45 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 886 - -511. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -24, -27, -4, 45, 120?\n\"Answer: 13*u**2 - 42*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of v**5\/20 + 11*v**4\/12 + 2*v**3\/3 - 295*v**2. Is o(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -351 - -566. Let a = c + -214. Which is smaller: -36 or a?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 128*(-123)\/(-383760)*10\/(-8)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - f - 13 = 0, 3*q = -4*f - 1 + 26. What is the remainder when 19 is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -764 + 777. Suppose 2121 = -u*c + 26951. List the prime factors of c.\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -6*z + 48. Let d = z + -20. Suppose -2*c + 1 = -3. Sort 0, d, c in decreasing order.\nAnswer: d, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -43113 < -43110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 8935787 a multiple of 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -336 - 336 + 2*a + 8*a**2 + 989 - 317.\nAnswer: 8*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 80075666 by -22.\nAnswer: -3639803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48862?\nAnswer: 2, 11, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -3\/8815886?\nAnswer: -3\/8815886","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -14*o**3\/5 - 212824*o**2\/5 - 808792006*o\/5 + 231100804\/5.\nAnswer: -2*(o + 7601)**2*(7*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6118373355?\nAnswer: 3, 5, 17, 23993621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mtt when three letters picked without replacement from {h: 2, t: 3, m: 7}.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t be -23 + 13 - (-2 + -4). Which is bigger: -132\/25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*z - 3*z + 0*z + (-2 + 1 + 3)*(2*z - 2*z - 2*z) - 4*z + 5*z + 0*z + z - z + z + z + 0 + 0)*(577*z**2 - 577*z**2 + 564*z**4).\nAnswer: -1128*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 50 - 16 - (2 - -27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be -5 - -11 - (0 - -2). Is 16 a factor of ((-6)\/w)\/(30\/(-760))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = l**2 - l. Let v be n(2). Let w be 4\/48*9\/v. Let h = -5 - -10. What is the third smallest value in w, -4\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.2113291 to three dps.\nAnswer: 0.211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/54*-3*(35\/(-14))\/5\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2*(-3 - -4))\/(8\/7744). What is the greatest common divisor of 96 and c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8416?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1812 and 37448.\nAnswer: 112344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*f + 29*f - 20 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 51889.13 + 4.771\nAnswer: 51893.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 31*m + 14 + m**3 + 34*m + 29*m - 95*m - 3*m**3 - 554*m**2 as r + p*m**2 + f*m**3 + u*m and give p.\nAnswer: -554","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 5665999093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6 + -1 + 5 + (-32 + 65 - 23).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h**3 - 13*h**2 + 5*h + 6. Let i(y) = y**3 - 4*y**2 - 4*y. Let z be i(5). List the prime factors of j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 0.2, -72.742, 2\/27?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-72)\/(-1 - -4) + 288090\/12222\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 100798, 201585, 302372, 403159, 503946?\nAnswer: 604733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3695865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*n**3 - 8*n - 4*n**3 + 5*n**3 - 1117*n**2 + 1116*n**2 + 25*n**4 to the form z*n**3 + b + s*n**4 + c*n + y*n**2 and give s.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 82295 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the second derivative of -s**5\/20 + 5*s**3\/3 + 5*s**2\/2 - 93*s. Let u be c(-3). Suppose -4\/3 + 10\/3*q**u - 2*q = 0. Calculate q.\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 31\/((-1054)\/(-7803)) + 14\/(-4). What is the highest common divisor of u and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lllnlelre. Give prob of picking 2 l.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -29009178*l**2*r - 2*l*r - 810*l - 117 wrt l.\nAnswer: -58018356*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -149, -174, -197, -218, -237, -254, -269?\n\"Answer: n**2 - 28*n - 122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 + 2. Let j(u) = -u. Let q(y) = -y. Let v(x) = -5*x + 1. Let b(r) = -3*q(r) - v(r). Let p = -22 - -16. Determine h*b(i) + p*j(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -30010055 (base 7) to base 10.\nAnswer: -2473070","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 102 and 9707.\nAnswer: 58242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 2*k - 2*k = 3678, -3*k + 9182 = 5*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8658 and 20551687?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 14439 + -202239\/14. Calculate the common denominator of y and (-1)\/3 - 1463\/132.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x = 3*n - 7 - 25, 5*x - 6*n - 1 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**4 - 2*x**3 - x**2 - x. Let k(c) = -20*c**4 + 20*c**3 - 12*c**2 - 68*c. Let t(l) = k(l) - 16*w(l). Factor t(o).\nAnswer: -4*o*(o - 13)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 385364259*v**5 + 608358528*v?\nAnswer: 7707285180*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 67725362 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -12. Let y = 3 - 3.5. Let i = 2.299067 + -0.299067. Which is the third smallest value? (a) -0.2 (b) i (c) y (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12 + -3. Suppose 21 = -3*z + 4*p + 4, 2*z = -p + 7. What is the units digit of v\/z - 3\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -58 - -31. Let i = s - -92. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (0 + -1)\/(3\/(-15)). Solve 2*s - 3 = f*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -3*m + 77, -2385*m = -2383*m - 2*l - 56. What is the highest common factor of m and 12579?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 189604\/217 or 874?\nAnswer: 189604\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l + 742. Let t(x) = -x - 367. Give -6*f(i) - 11*t(i).\nAnswer: 5*i - 415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 2 a when three letters picked without replacement from dddddadvadddvdddvxd?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1029 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 75207216 to the power of 1\/2, to the nearest integer?\nAnswer: 8672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -147*3\/(-12)*13*60\/(-585)\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38963 is divided by 9726.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 84819420 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23991 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t be (1 - -3*3)*12159\/17370. Sort t, -1, 748, 4, 2 in descending order.\nAnswer: 748, t, 4, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 140\/18 + -2*(-10)\/90.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 4*p - 4 = -0*u, -2*p + 8 = 3*u. Suppose -2*o - 64 = -u*o. Let v = o - 23. Is v less than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n be -2 + 0\/(-1) + 1. Let p be (-1)\/(n + 54\/53). Let o = -36 - p. What is the remainder when o is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of -5 + (-23 - -22)\/(1\/(-15029)).\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 23*d - 3. Let q be f(8). Suppose -214 + 34 = -2*p - 2*w, -2*p - w = -q. Suppose -2*k - 5*r + p = 0, 0 = 2*k - r - 2*r - 83. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = -z**3 - 7*z**2 - 2. Let f be x(-7). List the prime factors of ((-11)\/2)\/(f\/4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*z**3 - 2900*z**2 - 86488*z - 299808.\nAnswer: -4*(z + 4)*(z + 27)*(z + 694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(11)*1 - (sqrt(44) + 0)) + sqrt(132)\/sqrt(3)*-4 + 1)**2.\nAnswer: -24*sqrt(11) + 1585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be (37 - (-1 + 1)) + -1. Solve 32*o + o**3 - 4*o**4 - 13*o**3 - d*o - 12*o**2 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10997007911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1 + 3. Suppose f = -x*f + 27. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((1 + sqrt(405))*-1 + sqrt(405) + (sqrt(405) - (6*(-4 + sqrt(405)) - sqrt(405)))))**2.\nAnswer: -6624*sqrt(5) + 28036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add 130 and -1183796461563.\nAnswer: -1183796461433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**3 + 2*k**2 - 4*k + 5. Give i(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 4806.227 hours?\nAnswer: 17302417200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -8, -1, -4 in increasing order.\nAnswer: -8, -5, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 75 and 1799385?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -35*f + 1200. Let w be n(34). Suppose -7 = -2*g - 2*z + 7, -5*z + 30 = 4*g. Solve -5*h = -w - g for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*u**5 - 428*u**4 + 3582*u**3 + 23652*u**2 - 313848*u + 797040 = 0.\nAnswer: -9, 6, 205","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 10 and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}