{"text":"Question: Suppose -6*b + 4*f = -3*b - 5, -b = -5*f - 20. Let s(x) = 5*x + 31*x - 47*x + 13*x + 18. Let d be s(b). Solve d*y = 4*y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1003103*p**4 - 2*p**3*y**2 + 2641534*p**2*y**2 wrt p.\nAnswer: 24074472*p - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 6*v**3 + 8*v**2 - 7*v + 8. Let g(k) = -12*k**3 - 17*k**2 + 15*k - 18. Let i(t) = 6*g(t) + 13*m(t). What is the second derivative of i(r) wrt r?\nAnswer: 36*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5220 is divided by 227.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that 3*r**2\/5 + 5922*r\/5 - 284961\/5 = 0.\nAnswer: -2021, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 2813 + 3793 = 0. Suppose -3*n + p = -0*n. Let o = -428 + n. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 3*v. Suppose -r - 2*a + 15 = -0*r, 0 = 4*r + 2*a - 42. Let u(y) = r - 9 - y**2. Determine u(d(w)).\nAnswer: -9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 3151095 to the power of 1\/2, to the nearest integer?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 2  (b) 0.09  (c) -5  (d) 3  (e) 1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-5 + sqrt(252) + 1*sqrt(252) + sqrt(252) + ((sqrt(252) + 3)*1 - sqrt(252)))*4)**2.\nAnswer: -41472*sqrt(7) + 1308672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-21)\/(-14))\/(2\/4 - 1). Let r be (2\/(-3))\/(k\/9)*4. Solve r*a = 3*a + 20 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 6*d**2 - d. Let j(l) = 13*l**2 - l. Determine 3*j(q) - 5*p(q).\nAnswer: 9*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 101747376?\nAnswer: 2, 3, 83, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3.1 + 2.8. Put -6, d, -4 in decreasing order.\nAnswer: d, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 174 and 165204?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = -13738*o + 13741*o, -w + 0*o + 2*o = -14 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000311849 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -2*a**4 - a**3 - a + 3. Let p be -1*(2\/(-2))\/(-1). Let y(n) = -n**4 - n**3 - n. Let q(u) = p*x(u) + y(u). What is the first derivative of q(c) wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(1*(sqrt(112) + sqrt(112) + -1 + -2 + 0) + -5))**2.\nAnswer: -3200*sqrt(7) + 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*m - 2*f - 49 - 9, 0 = 4*f - 12. Let j be (-126)\/8*m\/6. Let o = -15 - j. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 6\/11, 1, 3\/2, -1, -5, 3, 27\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -639*-2532\nAnswer: 1617948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3223 + -3222. What is the closest to f in 3, -12, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0042423 rounded to five dps?\nAnswer: 0.00424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 5 - (-4 - (-2 + -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 times 403\nAnswer: -40.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) 0.4  (c) -11\/15  (d) 2  (e) 9\/4  (f) 5  (g) 121\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 51 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.134 * -2576.7.\nAnswer: 345.2778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (-264 - -252) + (1 - -64) + 3 + -8?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -210*(432\/16)\/(-189).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40506 + 41318 = 203*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 246?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 31091777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2189 - -2187.5. What is the biggest value in -4\/5, 0.1, 0.3, l, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10\/(-3)*-4*9\/6 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**7\/70 - 13*c**5\/60 - 9*c**2. What is the third derivative of b(r) wrt r?\nAnswer: -72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 844 a factor of 95101076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.7 * -200.\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 33 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.85780664 to 1 dp.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 98 - 21. Suppose 5*f + 22 = j. Let t be ((-40)\/25)\/(4\/10). What is the second biggest value in f, -1\/2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (6*sqrt(176)*1 - (2*sqrt(176) + 4)))**2 + 2.\nAnswer: -192*sqrt(11) + 2854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 191413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*h**4 + 2*h**4 - 2*h**4)*(13 + 24 + 7) + h**4 - 2*h**4 + 2*h**4.\nAnswer: 89*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 389386546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 4*g = -17, -6*k + 9*k + 6 = -3*g for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 24 + -14. Let f be 3\/(-15) + 42\/c. Suppose -5*p + 5*h + 380 = 0, 3*p - 227 = -0*h + f*h. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 304\/22 - 8 - 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 109 and -86152312.\nAnswer: -86152203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 136, -0.05, -0.4 in descending order.\nAnswer: 136, 1, -0.05, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 30*l + 2. Let y be s(-1). Let q be 8\/(-28) + 34\/y + 3. Which is the nearest to 1\/3?  (a) -5  (b) 0.9  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqqqqqvqqqqqqqvvqvq. Give prob of sequence qq.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 31 + (2 - -6 - (22 + 66))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61886368309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.044, 4004, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the third derivative of d**4\/24 + 49*d**3\/6 - 3*d**2. Let z be h(-22). Solve -4*a = -3*r + 6*r - z, 4*a - 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/435 or 0.1?\nAnswer: -2\/435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7590 = -1863627*t + 1863517*t for t.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -14*s**4 - 27*s**3 + 2*s**2 - 1696*s + 4.\nAnswer: -336*s - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 18 divide 5652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -5*z**3 - 5*z - 6. Let r be s(-2). Let b = r + -42. Suppose -4*t - 2*l = -270, -b*l - 3*l + 206 = 3*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 12*q = -399. Calculate the remainder when q is divided by 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 3*p - 13 = 0, 5*p = 2*y + 25 - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the first derivative of -7\/3*s**3 - 5*s**2 + 76 - 27*s. Differentiate o(l) wrt l.\nAnswer: -14*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 1351*q**3 + 4*q**2 - 5*q + 2. Let y be x(3). Suppose y = 5*d - 4*b, -25275 = -5*d + 2*b + 11225. Round d to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 221 is divided by 72?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.017596 to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r - 3 - 6 = 0. Suppose -o + 12 = -r*m, -5*m - 17 = 2*o + 3. Suppose o*d + 75 = 5*d. What is the highest common factor of d and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*d + 2*d**3 - 2*d**3 + 5*d**3 - 10*d to u + k*d**2 + g*d + v*d**3 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -342747 = -43*q + 677674 + 903915. List the prime factors of q.\nAnswer: 2, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6?  (a) 4  (b) -4\/7  (c) -2\/13  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -150 + 351. Let f be -122 + -1 - 2\/(-2). Let l = f + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(480)\/sqrt(10))**2.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*a = 3*b + 6, -2*a = -16333*b + 16328*b - 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*s - s + 2*s)*(-1177 + 594 - 8*s + 10*s**2 + 582).\nAnswer: -10*s**3 + 8*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -105 + 110. Let g = 8 + -4. Which is the third biggest value?  (a) g  (b) n  (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/60*9)\/(7\/(-1) - 4472\/(-520))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 + 2 = r. Let c(f) = -f**3 - f**2 + 2*f. Calculate the remainder when c(-4) is divided by r\/(-3 - 248\/(-84)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11924 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0553604 + -440.\nAnswer: -439.9446396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 + 51*h**2 - 105*h + 56. Calculate q(-53).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -55*g**2*k**3 - 4*g**2*x + 4*g**2 - 5*g*k**3*x + 163*g*k - k**3 - 2*x wrt k?\nAnswer: -330*g**2*k - 30*g*k*x - 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the third derivative of u**8\/1120 + u**7\/252 + 7*u**6\/1080 + u**5\/180 - 5*u**4\/24 - 5*u**2. Let i(w) be the second derivative of p(w). Factor i(v).\nAnswer: 2*(v + 1)*(3*v + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.02 + -0.02. Suppose 0 = -2*f - 2*f + 12. Let r be 16\/18*f\/(-4). What is the nearest to r in -0.1, h, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4575 times 0.344?\nAnswer: -1573.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Do -167 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g*g**(-11))*g\/(g\/g**(3\/16)))**(2\/13) assuming g is positive.\nAnswer: g**(147\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Work out -943 * -23.\nAnswer: 21689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -2168460, -2168454, -2168440, -2168412, -2168364, -2168290, -2168184?\n\"Answer: z**3 - 2*z**2 + 5*z - 2168464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from ssqsxxbszxs.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1  (b) -3\/5  (c) -1\/4  (d) -1.1  (e) 3  (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 9364, 18702, 28036, 37366?\nAnswer: 46692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the second derivative of 3*j**6\/10 - 14*j**3\/3 + 967*j**2\/2 + 13*j - 42. What is the derivative of r(d) wrt d?\nAnswer: 36*d**3 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 8436.679 millimeters?\nAnswer: 843.6679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 478 + -475. Let n(c) = 250*c - 8. What is the units digit of n(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 0*o - 2572*o**2 + 0*o + 1166*o**2 + 713*o**2 + 699*o**2.\nAnswer: 6*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.076?  (a) -2\/3  (b) -1075  (c) 6\/5  (d) 9\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 498 is divided by 160.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3\/44 - 31\/132. Which is the closest to 0.1?  (a) x  (b) -0.04  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/(-5)*-5*(-2)\/(-6). Find z such that 2\/3*z - a*z**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -0.1  (b) -2\/57  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 195560213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/168 and 43\/36876.\nAnswer: 73752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.399*1740040.\nAnswer: -694275.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*c**4 - 7*c**4 + 9*c**4 - c + 5 - 2*c**4 + c**4 + 3*c**4 + (4*c - c - 2*c)*(c - c + c**3) + (2*c**3 - 5*c**3 + c**3)*(-2*c - 4*c - 7*c).\nAnswer: 31*c**4 - c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 1698*f**3 - 5*f**2 + 5*f - 10. Let v(x) = -3*x**3 - x**2 + x - 2. Determine -l(q) + 5*v(q).\nAnswer: -1713*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 86608262997 from -5.\nAnswer: -86608263002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -79310155*s**3 + 157948825*s**2.\nAnswer: -475860930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is k in 3*k**2 + 3342270*k + 930897396075 = 0?\nAnswer: -557045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -1100000011 (base 2) to base 15\nAnswer: -366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 585594268 a multiple of 390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:15 AM and 9:29 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**3 - l**2 + 3*l + 3. Let u be (12\/7)\/(4\/14). Suppose 0 = u*x - 7*x - 2. Give s(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -22083640*d**3 - 2711*d**2 + 244*d - 12?\nAnswer: -132501840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/(-4) - 23649\/12. Let f = v - -1011. Let o = -565 - f. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4279435?\nAnswer: 5, 855887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -166*x + 86*x - 2*x**2 + 80*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 4  (b) 702  (c) -2  (d) 3  (e) -38  (f) 5\/21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 + 6. Let s = x + 1. What is the nearest to 1\/3 in -0.2, s, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = a**2 - 9*a - 2*a - 3*a + a. Let h(n) = n**2 - 19*n. Let w(l) = -5*h(l) + 7*r(l). Determine o, given that w(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) -3  (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**3 - 2*n**3 + 243*n**2 - 243*n**2.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -797731*a + 5584110. Give u(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1611*f**2 - 11083*f**6 + 12037*f**6 + 197*f**2 wrt f?\nAnswer: 114480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 77 = 3*i, i + 7*y = 2*y + 19. Let g = 54 - 29. Suppose -19*n - 96 = -g*n. What is the greatest common factor of n and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z + 255 = 3*z. Let r be 4\/((-12)\/63) - 0. Let n = r - z. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v = 4*a + 39, 2*a - 3*v + 22 = -5*v. Let b be -5 + (13 - -5*a\/20). Solve -b*w = -40 + 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22315 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 60317100 rounded to the nearest 1000000?\nAnswer: 60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 95 + -89. Suppose 0 = g*y - 59974 - 20900. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2567*o + 38472 = 584*o + 24205 + 208601 for o.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n**3 + 25710*n**2 + 85222224*n + 16557092064 = 0. Calculate n.\nAnswer: -6324, -207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6*1\/50)\/(1\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of m**4\/4 + 5*m**3\/3 + m**2 + 4*m + 6. Determine h(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -d**3 + 0*d**3 + 2*d**3 - 13*d**3 - 9*d**3 + 12*d**3 + (15 - 15 + 7*d)*(d**2 - 10 + 10 + 8) in the form w*d**3 + p*d + n*d**2 + g and give p.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 126, 494, 1236, 2538, 4586, 7566, 11664?\nAnswer: 17066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -38\/77 - -7\/11. Let a = -19 - -18. What is the nearest to 7\/2 in c, a, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 4298299 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 44394777 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 220*p - 1357 = 1559 - 6674 - 8342 for p.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 5*m - 2. Let q(n) = -n - 2. Let v(z) = f(z) + 6*q(z). Determine v(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 14889 + 1167*m - 14889 as c*m + k and give c.\nAnswer: 1167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l - 5 = 4*l. Let u(v) = v**3 - 7*v**2 - 9*v + 11. Let o be u(8). Let p(q) = 4 + q**3 + 0*q**3 - 5*q**2 + 5*q**o - 5*q**3. Calculate p(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {c: 13, n: 5}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -42369.06098 to zero dps.\nAnswer: -42369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 78766 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-2 - -52)\/2*4\/10. What is the greatest common factor of o and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**3 + 11*f**2 - 37*f - 147. Let i be z(-13). Let m = 0.02 + 0.28. Let l = -0.29 + m. What is the biggest value in -3, l, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 144 divided by 4?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -5.92 in -2\/3, 5\/4, 4, -0.3, 136, -0.6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1*(-2)\/(-20))\/(1959\/3265)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) be the first derivative of -2*o**5\/35 - 3*o**4 - 80*o**3\/7 - 118*o**2\/7 - 78*o\/7 + 17. Find t such that s(t) = 0.\nAnswer: -39, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 3*m - 11. Let u = 26 - 7. Suppose 0 = -2*a + u - 7. What is the units digit of g(a)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(2\/5)*k*k**(-1)*((k**(2\/11)*k)\/k*k*k)\/(k*k**(-28\/3)) assuming k is positive.\nAnswer: k**(1801\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5065912 to the power of 1\/2, to the nearest integer?\nAnswer: 2251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of 1 and -15452.\nAnswer: -15452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at most -3\/362749?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**3 - 16*a**2 + 12*a + 8. Let i be (-3)\/(1*9\/(-21)). Let o be l(i). Let s(f) = -f**3 - 6*f**2 + 3*f + 5. Calculate s(o).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = 40 - 40 - 7*t. Let v(n) = -21*n - 24. Let x(i) = 2*i + 12. Let c(h) = v(h) + 2*x(h). Calculate o(c(g)).\nAnswer: 119*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 497, -3, 0, -462 in descending order.\nAnswer: 497, 4, 0, -2, -3, -462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 3*o**3 - 2*o + 6. Let h(y) = -16*y**3 + 11*y - 33. Let u(f) = -11*g(f) - 2*h(f). Let d(n) = 20*n**3. Determine -3*d(a) - 75*u(a).\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -572*l**3 - 4915*l - 280*l + 197*l**3 + 2*l**2 + 189*l**3 - 105*l**5 + 192*l**3 wrt l.\nAnswer: -2100*l**3 + 36*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -7403, -14765, -22127, -29489, -36851?\n\"Answer: -7362*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = -t**2 + 21*t - 36. Let o be i(16). Let q = o - 24. Suppose 107 + q = x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 105783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0529 + -32.2629. Let x = h + 32. Round x to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = 5*v**3 + 14*v**2 - 9*v + 14. Let a(u) = 3*u**3 + 10 - 1 - 8*u + 9*u**2 + 2*u. Let w(f) = -8*a(f) + 5*t(f). Does 3 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11 and 4 + -3 - (15 - (-134672)\/(-9552)).\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11101835389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 15552 - -7?\nAnswer: 15559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -5*q**2 + 10*q - 5. Let x(z) = 4*z**2 - 9*z + 4. Suppose -3*o = 3*y + 3, -2*y - 7 = 2*o - o. Give y*l(a) - 7*x(a).\nAnswer: 2*a**2 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 156 + -156. Let v be 2\/(-4)*144\/(-18). Let x = -0.16 - -0.56. What is the third smallest value in x, u, -4, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 10 + (-1 - 0) + -3. Factor k**2 - 3 - k**2 - 3*k**2 + j*k**2.\nAnswer: 3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9342916 litres in millilitres?\nAnswer: 934.2916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -869745 divided by -7563\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -n**3 - 3*n**2 + 9*n - 12. Give a(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23373791 = -11*g - 23375023 for g.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p + 1. Let c be h(-8). Let b = 7 + c. Solve b = -3*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p**(3\/4)*p**(11\/5)*p assuming p is positive.\nAnswer: p**(99\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o**(-4\/3)*o)\/o)\/(o\/(o\/(o\/o**(-1\/4))))*(o**(-2))**(-25))**(2\/55))**7 assuming o is positive.\nAnswer: o**(3983\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*m - 4*b + 72, 0 = -m - 3*m + 5*b + 65. Suppose 27*n + m = 23*n. Let h(v) = -2 + 3*v - 2*v - 3*v. Calculate h(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:52 PM and 2:54 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 8*f - 45. Calculate the remainder when 1130 is divided by o(-6).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.7796917 to two dps.\nAnswer: 9.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 60 or 48?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 - 24 = -4*h. Suppose -2*k = 2*k - h. Find the third derivative of g**3 + 5*g**3 - 3*g**k - 4*g**3 wrt g.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*o = -23*o - 9076. Suppose -m = 2*m - z - 2725, 5*m = -2*z + o. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d - 79 + 1. Suppose 17*k - d = 4*k. Let i(w) = 2*w. What is i(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 5*r = -41 + 11, -3*r = 2*a - 14. Calculate the greatest common divisor of a and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x, 1 u, and 1 s when three letters picked without replacement from {x: 4, s: 1, r: 2, a: 4, j: 1, u: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (3 - (9 - 1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -882*c - 1844 + 1844.\nAnswer: -882*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 40\/(-6)*48\/10. Let h = -27 - n. What is the third derivative of -2*b**2 + 0*b**2 - 5*b**5 - 5*b**2 - 5*b**h wrt b?\nAnswer: -600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 95 by 118.\nAnswer: 95\/118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**3 + 2*n**2 + 4*n + 4. Let d(r) = 2*r**3 + r**2 + 3*r + 3. Let i = 959 - 962. Give i*q(g) + 4*d(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x + w - 7 = 0, 13*x - 16*x + 5*w = 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (0 - (1 + -2))*(9 - -25) is divided by (-13)\/(-2) - (-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 7 - 9)*(-8 + 30*x + x - 5*x).\nAnswer: -286*x + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -28*l**2 + 93*l**2 - 169*l**2 - 150*l**2.\nAnswer: -254*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 2. Let u(p) = -4*p**2 - p + 8. Suppose 4*c + 0*c - 36 = 0. Determine c*j(w) - 2*u(w).\nAnswer: -w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/56)\/(108\/72)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = 2*x**2. Let c(m) be the third derivative of 0*m**4 + 0 - 16\/15*m**5 + 0*m**3 + 10*m**2 + 0*m. Give b(c(n)).\nAnswer: 8192*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5043591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:36 PM and 10:46 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*516.\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 306 - 315. Let n(s) = -s**3 - 9*s**2 - 3*s - 22. Let v be n(f). Solve -2*a - 10 = -2*g, 4*g = v*a - 4*a + 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 29415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 4*q + 126. Calculate a(-28).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*i - 5*i + 58 = -0*a + 2*a, -4*i = a - 1152 + 1141 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317*n - 125*n - 2*n - 3 + 3.\nAnswer: 190*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 76*t - 187*t + 8882331. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18624\/77 or 242?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1745800, 1745799, 1745798?\n\"Answer: -t + 1745801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 14*y + 367 - 377, k + 6 = k + 3*y for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from {l: 3, d: 1, s: 6, g: 1, x: 3, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 8*l**2 + l + 1. Let z(a) = -4*a**2 - 72*a + 5. Let v be z(-18). Let s = -6 + v. Give t(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000204425 rounded to seven dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 4*g + 0*g**3 - 3*g - 7 - g**3 + 7*g**2 - 6*g. Suppose w = -4*z - 6, w - 3*z + 9 = 4*w. Give n(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the second derivative of -t**5\/20 + t**3\/6 + t. Let i be b(1). Suppose -3*d + 2*m = i, 3*m + 16 - 1 = -3*d. Sort d, 1, 4 in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97339952 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 92 and 5005582?\nAnswer: 10011164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-3))**(-48)*f\/f**(-3)*f**13*f)**(-9\/4) assuming f is positive.\nAnswer: f**(-729\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39 - 26. What is the remainder when 16 is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4cb20c + -25?\nAnswer: -4cb234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/((-10)\/24) + 36\/(-90). Let n(t) be the first derivative of 6*t - 9 - 10*t - t**3 - h*t - 2. What is the first derivative of n(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f = 11 - 41. Let g be 4\/f*(-39)\/2. Let j = 13 - g. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.000268*-11.66.\nAnswer: 0.00312488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -2  (c) 87  (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-25)\/((-225)\/(-4))*(-18)\/4. Solve -g*i - i = i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3565304 to the nearest integer?\nAnswer: 1888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -1443*t**2 + 74*t - 5. Let j(x) = x**2 + 19*x - 2. What is f(c) - 4*j(c)?\nAnswer: -1447*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -13*k - 845. Let i = k + 99. Calculate the greatest common factor of i and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 + 1. Let m be g(0). List the prime factors of (m + -3)\/((-6)\/24).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 less than 1672\/175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 4. Let u(z) = -3*z**2 + 3*z. Let r be u(2). Let l be h(r). Let t(v) = 3 + 0*v**2 + 3*v**2 + 1 - 6. Give t(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-25 - -9 - -8) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/2 in -8\/9, 0.03, -9, 0.4?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {z: 7, j: 4}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -7*(-121)\/((-176)\/(-16)). What is the third biggest value in 2\/3, -3, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -8*s**5 + 2*s**5 - 198*s + 183*s wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:40 PM and 3:51 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 564522596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49280 is divided by 3080.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5239\/9 + 583. Let m = -6427\/9 + 715. Factor -p*z + 2\/9*z**3 + 2\/9*z**2 - m.\nAnswer: 2*(z - 2)*(z + 1)*(z + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(5\/4)\/v)\/(v**(19\/3)\/v))\/(v**(9\/5)\/(v*v*(v*v**(-3\/11))\/v)) assuming v is positive.\nAnswer: v**(-3403\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1362 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 - 12*r + 8. What is q(-6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -270*z + 266*z = 5*m - 32, -3*m = -2*z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) -0.6  (b) 5  (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5989061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -864839, -1729654, -2594469, -3459284, -4324099?\nAnswer: -5188914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-45)\/180)\/((-6)\/8*-1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wjww when four letters picked without replacement from jwwwwwwwjw?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (15 - 0) + -8 + -26 + 16\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 5*k**3 - 173*k**2\/5 - 14*k\/5 = 0.\nAnswer: -2\/25, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -12\/5 in 3\/7, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 358 = 6*q + 76. List the prime factors of q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3811322 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11 - (-129)\/4*(-36)\/108.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -180 = 145*c - 89 - 961. Let g(p) be the third derivative of 11\/120*p**c + 1\/6*p**3 + 1\/60*p**5 + 0 - 1\/24*p**4 - 15*p**2 + 0*p. Determine g(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 7 = 1. Let o = l - -1. What is the first derivative of -3 - 2*w**3 + 3*w**2 - o*w**2 + 0*w**2 wrt w?\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(605) + 2*(-2 + sqrt(605)) - (3*sqrt(605)*2)**2)*6.\nAnswer: -130704 + 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - (-8 + 11 + 0 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + 5\/(-8)*1. Let o = -257 + 255. Which is the second biggest value?  (a) m  (b) 1.6  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1429\/8 - 190. Let j = m + 845\/56. Is 5 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 227934 to the power of 1\/2, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1110010 (base 2) to base 11\nAnswer: -a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -11  (b) 3\/2  (c) 0  (d) 14\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 181216108081346\nAnswer: 181216108081348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1384 and 2768.\nAnswer: 2768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 221 + -217. Solve -4*z - 2*d = 6, z = -q*z - d - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6285517296 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2149aa2 (base 11) in base 13?\nAnswer: -a22956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*j**5 - 890*j**4 + 6075*j**3 - 15490*j**2 + 17140*j - 6840.\nAnswer: 5*(j - 171)*(j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {b: 1, s: 1, p: 5, h: 3}. Give prob of sequence phs.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the second derivative of 1\/30*b**6 + 0*b**4 + 0*b**5 - 107\/2*b**2 + 1\/3*b**3 + 4*b + 21. Find the first derivative of k(z) wrt z.\nAnswer: 4*z**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 368 + 217741?\nAnswer: 218220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9956 = k - 9967. Let p(c) = c**2 + 52. What is the remainder when p(0) is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 4*d = 16. Suppose o + 5*b - 10 = 0, d*o - b = o + 10. Solve 0 = 3*m + 2*m - o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -94*f. Let w be -1*(-3 + (4 - 2)). Let i be n(w). Let k = i - -252. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) be the third derivative of w**5\/60 + 14*w**3\/3 - 942*w**2 + 1. Let y(b) = -8*b. Give y(j(f)).\nAnswer: -8*f**2 - 224","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 9517.655 millilitres?\nAnswer: 9.517655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -q**3 - 2*q**2 + q. Let h be x(-3). What is the second derivative of -h*p + 4*p + p**3 + 4*p wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9194?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 205 + -205. Suppose o = 46*t - 55*t + 234. Calculate the remainder when 74 is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the third derivative of -o**5\/60 - 23*o**4\/24 + 97*o**3\/6 - 58*o**2. Calculate the remainder when 47 is divided by f(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j**3 + 2*j**2 + 1. Let y be i(-2). Let m = 10 + y. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 144*o**2. Let h(a) = -24*a - 23*a - 11*a - 27*a + 90*a. What is h(s(z))?\nAnswer: 720*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 10 = 2*o, -40*o + 43*o - 47 = 25*k + 25 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*o + 9 = 3*p, -2*o - 99 = 4*p - 141 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {u: 11, d: 4, w: 4}. What is prob of sequence dudu?\nAnswer: 55\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11 - -9. Suppose 0 = -38*b + 36*b + 2, -3*l - b = -13. Suppose -4*o + 7*w - 2 = 4*w, -o + l*w = 7. Put x, 24, o in decreasing order.\nAnswer: 24, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, r: 12}. What is prob of picking 2 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.06975274 to four dps.\nAnswer: 0.0698","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qopoppoyplpopop. Give prob of picking 1 l, 1 q, and 1 p.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -112200447?\nAnswer: 33660134.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17443944 a multiple of 371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.38 + 0.12. Let z = 0.1 - q. Let l = 0.1 - 0.3. Put l, -6\/11, z in descending order.\nAnswer: l, z, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the first derivative of 8*g**6\/15 + 13*g**4\/12 + 11*g - 2. Let z(w) be the first derivative of r(w). Find the third derivative of z(o) wrt o.\nAnswer: 384*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/7*(-103)\/206)\/((-4)\/7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-3*1*sqrt(156)*6)\/((-2*((sqrt(108) - -1*sqrt(108)) + sqrt(108)))\/sqrt(9)).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1531, 1579, 1627, 1675, 1723, 1771?\nAnswer: 1819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*i + 14*i**2 - 8*i - 5*i**2 to q*i**2 + s*i + r and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 - 14*w**2 - 47*w - 5. Calculate the remainder when 152 is divided by o(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/2*1 + 3. Suppose 0 = -c*q - q + 10. Suppose -4*s - 36 = -44. Solve q*v + s*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -n**2 + 0*n**2 + 3*n**2 + 14 + 4*n**2 wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s**4\/8 - 5135*s**3\/8 - 170043*s**2\/4 - 335813*s - 293944 = 0. Calculate s.\nAnswer: -5068, -58, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 36037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = n**3 + n + 1. Let a(q) = -7. Calculate -a(y) - 2*t(y).\nAnswer: -2*y**3 - 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 3*c**2 - 4. Let k(g) = 6*g**2 - g - 9. Let o(s) = -2*k(s) + 5*r(s). Calculate the remainder when 53 is divided by o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -84*h**2 + 35*h - 140. Let y(i) = 5*i**2 - 2*i + 8. Let x(q) = 2*v(q) + 35*y(q). Let a(d) = 72*d**2. Give x(a(o)).\nAnswer: 36288*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/7, 5, -3, -5, 44?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a factor of 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 145609182 + 0.1?\nAnswer: 145609182.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1080 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 2 c when three letters picked without replacement from {j: 2, v: 2, q: 2, y: 5, a: 3, c: 2}.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5428 divided by 2714.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i*(i\/(i*i*i**(1\/3)*i)*i)\/i)**(-29)*i**(-6\/5)*i**4*i*((i**(-1\/3))**(-47))**(2\/13) assuming i is positive.\nAnswer: i**(2917\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-24))\/((-19)\/(-285)*5)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -4. Suppose -5*g + 2*f + 123 = 0, -g + 2*f + 26 = 3. Suppose -g - 23 = -4*a. Solve -3*u - a = -t*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 425.3091g in tonnes?\nAnswer: 0.0004253091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43 + 54 + (-26 - -56).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*q - 145, 2*q + 177 = 3*d - 268. Let x be -12*(16\/12)\/4. Let t(u) = -16*u - 34. What is the remainder when d is divided by t(x)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 472 minutes before 10:37 PM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7.93379 grams?\nAnswer: 7933790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.1707 + -0.1707. What is the nearest to -0.2 in -1, x, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -552 divided by -3.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -213 - -246. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*d - 8*d = 5*a + 5, 0 = -3*d + 15. Solve 10\/17*x**a + 2\/17*x - 10\/17 - 2\/17*x**3 = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.27 - 2.27. Which is the nearest to p?  (a) 5  (b) -1  (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 9\/5, -9.8, -3, 7, -2, -1, -0.3 in descending order.\nAnswer: 7, 9\/5, -0.3, -1, -2, -3, -9.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -7*u. Let j(c) = -5*c**2 - 4*c + 4. Let a(l) = 14*l**2 + 11*l - 11. Let h(n) = -4*a(n) - 11*j(n). Give h(p(g)).\nAnswer: -49*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 1.8, -138, 1\/20, 2, 152?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -34 by -43285.\nAnswer: 34\/43285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) be the first derivative of -k**3\/3 + 41. Let u(j) = 18*j. What is u(q(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3292637143.\nAnswer: 41, 139, 577757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -978 divided by 5537.\nAnswer: -978\/5537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -48 - -64. Let n be (72\/x)\/((-1)\/(-14)). What is the greatest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1 - -1. Suppose -6 = -4*f - s*x, -7 + 2 = -4*f - 3*x. Solve -f*a - 26 = -4*d, 5*a = d - 2*d - 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -432 + 341006?\nAnswer: 340244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1614\/77 + 148\/7. Is 1 bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 247565 - -2a6?\nAnswer: 247860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -15*g**4*k**3 + 7*g**4 + 28*g**2 - 14*k**3 wrt g.\nAnswer: -360*g*k**3 + 168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -489 = -880*r - 785*r - 10479 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/6)\/(153\/(-102)) - -1.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 - 39 + 25 + 17*h**3 - h to q*h**2 + m*h + t + x*h**3 and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -235, 52, -0.4 in descending order.\nAnswer: 52, 21, -0.4, -235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -44 + 44. Let j be 25 + (-30 + 27)\/(-1 + a). Let g = 18 + 3. Calculate the highest common divisor of g and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1\/63231 + 3561763\/15807750. Calculate the common denominator of 67\/225 and b.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -153 - -158 - (1 - -9) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m - n = -3*m + 27, -5*m = -2*n - 29. Suppose -5*d + 10 = -2*a, -m*a = -d - a + 2. Solve 2*y = d*w + 4, 3*y - 2*w - 9 = -0*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 45\/16 and ((-40)\/(-27072) - 0)\/((-1)\/(-22)).\nAnswer: 6768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + i + 24 = 0, -5*g - 5*i = -3*i + 27. Let q(u) = -9*u + 0*u**2 + 5*u**2 - 10 - 6*u**2. Is q(g) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 194 - d5?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7338 and 15.\nAnswer: 36690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve n + 40 = -9*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 437*b + 97*b**2 - 437*b + 272*b**2.\nAnswer: 369*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -1120021 (base 3) to base 13\nAnswer: -69a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from {c: 3, g: 1, u: 3, z: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is c36 + -8?\nAnswer: c2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + a2?\nAnswer: 9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8 + 16*u**2 + 17*u**2 + 6 to z*u**2 + n + h*u and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6 - 5)*(-3)\/(-6)*2. Let x be (-7)\/(-2) + j + 2\/(-4). Solve 4*f = x*k - 1 + 5, 0 = -4*f + 2*k + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -1 + (-1)\/1 + (-6 - -10). Suppose 21 = i*r + 5*r. Suppose r*v + 3*f = 342, 2*f = -3*v + f + 338. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11100101222002 (base 3) to base 16\nAnswer: -2342f9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 2 - 2)*(4*p**3 + 0*p + 0*p) - p**4 - 4*p**4 - p**4.\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 28.826 - 29. Let q = 0.026 - h. Which is the nearest to 1?  (a) 1\/10  (b) q  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 t when two letters picked without replacement from ttttteet.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -3.12 + 0.12. Let d = -2 - k. What is the nearest to -1 in d, 0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 307, 1030, 1885, 2590, 2863, 2422, 985, -1730?\n\"Answer: -47*g**3 + 348*g**2 + 8*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-72)\/(-27) - 8\/4. Let n be (2*10\/4*1)\/1. Put i, -1, 2\/5, n in descending order.\nAnswer: n, i, 2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = g**2 + g + 1. Let y be c(-1). Let u(z) = 3*z. Let s be u(-1). Put y, 2, s in decreasing order.\nAnswer: 2, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**2 - t**3 - 5*t - 1 + 2 + 3*t. Suppose 0 = -u - 2*y + 11, 4*u - 4*y - 1 = -5. Suppose 3*x + 3*b = -2*x - 7, -u*x - b - 1 = 0. Calculate j(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 559 and 559 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -37*p + 127. Let w be u(-6). Sort 2, 5, w in decreasing order.\nAnswer: w, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -117 + 135. Let h be 1527\/y - (-20)\/(-24). What is the greatest common divisor of 108 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 90 = 3*u, t - 71 + 101 = u. Calculate the remainder when 30 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 14 - 14*n)*(5*n**3 - 3*n**3 - 3*n**3).\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:35 PM and 4:50 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 404930800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 584 - 251. Let o be (-74)\/f*(-3)\/(-1)*1. Let y = 20 + -11. Which is the fourth biggest value?  (a) o  (b) 3  (c) y  (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 5*w - 32 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 11 - 11.6. Let t = f - -3.6. Which is the biggest value?  (a) t  (b) -4  (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/9*((-744)\/36)\/31*9.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence scsp when four letters picked without replacement from {j: 1, p: 1, c: 1, s: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/3)\/((-1)\/9). Let y = m + -7. What is the second derivative of v - 2*v**2 - y*v + 3*v**2 + 2*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (o**2 - 2*o**2 + 2*o**2)*(-o**2 + 503*o + 122 - 504*o + 241) as s + k*o + f*o**4 + d*o**2 + b*o**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.799 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 15 + -3. Factor 12*v**4 - 8*v**3 - 4 + 2*v**5 + 10*v - 4*v + 4*v**2 - f*v**4.\nAnswer: 2*(v - 1)**3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 13*n - 407 + 121. Let h(s) = 4*s**2 - 30*s + 5. Is h(n) a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -11*m**2 - 14*m - 7. Let d(u) = -6*u**2 - 8*u - 4. Let p(f) = -7*d(f) + 4*r(f). Let l(t) be the second derivative of t**3\/3 - 7*t. Calculate l(p(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 53091 and 8253?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 3:46 AM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 490\/8 + (19\/4 - 4) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 1886 = -1896 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z**3 + 18*z**2 + 2. Let a(h) = 1405*h**3 - 36*h**2 + 2*h - 4. Calculate -a(d) - 2*c(d).\nAnswer: -1401*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = 5*d**2 - 4*d**2 + 14 + 10*d - 2*d**2. Let r be x(11). Factor -25*t**4 + 22*t**4 - r*t**2 - 6*t**3 - t + t.\nAnswer: -3*t**2*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by -52334?\nAnswer: -1\/26167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) be the first derivative of r**3\/3 + 5*r + 1. Suppose -4*u - 2*k = -4 - 2, 0 = 4*u + 3*k - 9. Let a be m(u). Solve -17 = w - 5*g, -a = -g - 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:10 AM and 4:06 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4*b**2 - 72*b + 6. Give c(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 3 - 1)*(-f + 0 + 0) + (-2 + 1 - 1)*(4*f - f - f))*(0 + 0 - 23*f**2).\nAnswer: 46*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 2*z + 74 = -j, -2*z = -j + 43. What is the remainder when j is divided by 11 + (0 - (0 - 9))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -3) + 1 + 0 + (-203 - -207)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**4*p)**(-16)*(p**(-1))**(-8\/9) assuming p is positive.\nAnswer: p**(-712\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-172)\/(-22) + (-8)\/(-44). Let f = t + 16. Does 15 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -13 - 17 - 12 + 41 - 56*s in the form u + f*s and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 6:58 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 83230?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) be the second derivative of k**4\/12 - 5*k**3\/2 + 8*k**2 + 31*k. Let v be d(14). Let g be (7\/70)\/(1\/v). What is the nearest to 2 in -1, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -9330, -18663, -27994, -37323, -46650, -55975, -65298?\n\"Answer: g**2 - 9336*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 296 minutes after 1:16 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j**3 + 34*j**2 - 78*j - 223. Calculate l(-36).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*g + p, -33*g + 32*g - 3*p + 9 = 0. Let d = -19 - -27. Suppose 4*u - 5 + 3 = 3*o, 2*u + d = -g*o. Is -2 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14209 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 43.9 + -42. Let y = 1.94 - t. What is y rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 15332518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -783491.9787 rounded to the nearest 100?\nAnswer: -783500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -549*f = 2*x - 553*f - 46, -5*x - 5*f - 50 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 59 a factor of 17082682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 122267300, 244534599, 366801898, 489069197, 611336496?\n\"Answer: 122267299*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f - 2*f**2 - f + (-1 + 0 + 0)*(-4*f**2 + 7*f**2 + f**2) + 3*f**2 - 6*f**2 + 2*f**2)*(1 - 1 + 2*f).\nAnswer: -14*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -4, -8, 14, -2, 531, 0 in ascending order.\nAnswer: -8, -4, -2, -1, 0, 14, 531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**2 - 278983520*b - 19457951107897600.\nAnswer: -(b + 139491760)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2536 = 7*u - 432. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g + 1238 = c - 338, -2*g + 3*c = 788. Is -392 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -30*k**2 + 5*k + 5. Let d(f) = 31*f**2 - 4*f - 4. Calculate 5*d(s) + 4*g(s).\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q - 38 = 3*g, 2*q + g = -3*g + 36. Suppose -q = 4*y + 10. What is the nearest to 0 in 0.3, -3, y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -136*q = -91*q - 63628200. Round q to the nearest ten thousand.\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 2*g**5\/5 - g**4\/6 + g**3\/3 - 4*g**2 - 24*g + 4. What is n(2)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 684985.\nAnswer: 5, 7, 19571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 444767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - (-63)\/15)*-100. Find the common denominator of 37\/8 and (1\/(-12))\/((-9)\/r).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 0 - d + 2 - 2*d**2 - d**3 + 0*d. Let c be u(-2). Suppose 0 = 5*k - c*k + 180. What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 694133286 - 234.\nAnswer: 694133052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*k = -5*u, 0 = -4*u - 7*k + 2*k + 33 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14*u**2 + 19*u**2 - 39*u**2 + 5*u**2 + 2.\nAnswer: -u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 172*g**2 - 176*g**2 - 355*g**2 + 180*g**2 + 179*g**2 - 6*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 0 + 5\/12*r**4 - r - 1\/20*r**5 - 1\/2*r**3 + 1\/2*r**2. Let g be l(4). Solve -4*u + k = -1, -2 - 3 = g*u + 5*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1104130 (base 5) in base 15?\nAnswer: 5ab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 2*d + 172. Let u be n(0). Let r(z) = -2 + 1 - 1 - 5 - u*z. Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -63 - 85. Let c(j) = -j + 10. Let d be c(7). Solve 0 = -3*w - 2*w + d*q + n, 0 = -w + 5*q + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -3*m + 15. Suppose 4*z - j = 10, 0 = z - m*z - 4*j + 14. What is the least common multiple of 33 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(4\/9)\/(u*u**0)*((u\/u**(-1\/2))\/u*u)**(-46) assuming u is positive.\nAnswer: u**(-626\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7, 2, 11, 20?\n\"Answer: 9*i - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ry when two letters picked without replacement from lqallyatlyltrtyaa?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p - 70 - 446. Suppose 0 = -5*u - 0*u - 370. Let x = u + p. Calculate the highest common divisor of 14 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.71 times 173\nAnswer: -814.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 2724*r**2 + 1765*r + 13. Let h(y) = 1362*y**2 + 883*y + 6. Let d(m) = -13*h(m) + 6*k(m). What is the second derivative of d(j) wrt j?\nAnswer: -2724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-50)\/225)\/(27\/3402).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/21346192 and -41\/34687562?\nAnswer: 277500496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 1, f: 1, n: 1, y: 3, z: 1}. Give prob of sequence zyg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 92926 is divided by 30971.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 41311223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1\/a**(-2\/5))**(13\/4)\/((a\/(a*a**(-2))*a**(-2))\/(a*a**1)**(10\/11)) assuming a is positive.\nAnswer: a**(1401\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 14) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -882*x**5 + 1596*x**4 - 554*x**3 - 152*x**2 - 8*x.\nAnswer: -2*x*(x - 1)**2*(21*x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express d**2 + 18*d + 0*d**4 - d**4 - 19*d - 11*d**3 in the form h*d + p*d**3 + q*d**2 + v + f*d**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is x in -x**2\/2 + 33725*x - 337225\/2 = 0?\nAnswer: 5, 67445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 20501820, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5*p*s - s - 56 wrt p.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from subssuu. Give prob of sequence bss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1851762 and 18.\nAnswer: 5555286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 70781 - 103591. What is t rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 12260694.\nAnswer: 2, 3, 2043449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -2*u**3 - 12*u**2 + 7*u + 8. Is 15 a factor of c(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -11 - -11. Suppose n = -o + 6*o - 220. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8 + -5. Let l(f) = f**2 - 1. Let q be l(-2). Calculate the highest common factor of q and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.0786801218 - 3062.3\nAnswer: -3062.3786801218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2903, 2927, 2967, 3023, 3095, 3183?\nAnswer: 3287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10445 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p. Let k be (-3 - -5)*(-3 - -4). Let x(o) be the first derivative of 0*o + 0*o**k - 5\/3*o**3 - 1. Give x(h(q)).\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(75) + -2*sqrt(9)\/sqrt(3))**2 - (sqrt(18)\/sqrt(6)*-4 + sqrt(3) + sqrt(75) + -3).\nAnswer: 28*sqrt(3) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = 2*b**3 + 3*b**2 + 477*b + 2779. Calculate f(-6).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 3*w**2 + 1. Suppose m = 5*s + 22, 7 = -2*s - 1. What are the prime factors of f(m)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20788 is divided by 498.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 42*b - 2160.\nAnswer: 2*(b - 45)*(b + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 52 = -3*r, -3*i + 2*i - 4*r - 36 = 0. List the prime factors of 14\/4 + (-10430)\/i.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1119, 1607, 2099, 2595, 3095, 3599, 4107?\nAnswer: 4619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 7*x - 3*x + 16 = 0, 5*f = -4*x. Suppose -y - 2 = 0, -f*a = 2*y + y + 22. Is 5 a factor of ((-340)\/119)\/(a\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 33686775 to the power of 1\/2, to the nearest integer?\nAnswer: 5804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1361 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6186.\nAnswer: 2, 3, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -342, -341, -340, -339, -338, -337?\n\"Answer: z - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.3 - -6.3. Put -2\/7, 4\/5, y in decreasing order.\nAnswer: y, 4\/5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 divided by 217.\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2*u - 2 = 0. Let o = -6 - -11. What is the third biggest value in u, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -160, 4, 2, -5, 2961 in ascending order.\nAnswer: -160, -5, 2, 4, 2961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -263\/90 + 27\/10. Let x = 152 - 152.2. What is the third biggest value in n, -5\/2, x?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -6 - 2. Let y be (-9)\/30*s\/9. Do 0 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + 7. Let h = -17 + q. Let d(x) = -x**3 + 2*x + 3. Calculate the remainder when d(-2) is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -348, -195, 170, 825, 1848?\nAnswer: 3317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - d - 25 = 0, 0*d + 4*d = -5*z + 26. Let v(y) = y**2 - 7*y + 3. Give v(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11 - -23. Suppose -3*z - 8*m + 5*m + 249 = 0, m = 3. Suppose 0 = -f - 3*f + z. What is the smallest common multiple of p and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -38*n**4 + 2736*n**2 + 458354*n?\nAnswer: -456*n**2 + 5472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 57*v**2 - 233*v + 265. What is the remainder when s(61) is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) be the first derivative of l**2\/2 - 9*l - 10. Give m(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2)*2*-3*-3.\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7.9 - -1.88. Let r = f + 7.02. What is the closest to -1 in -1, -5, 5, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = f - 2. Let v(t) = -t**2. Let x be 2232\/(-63) - (-4)\/(-7). Let d be (-24)\/x - (-2)\/6. Let b(m) = d*u(m) - 3*v(m). Factor b(k).\nAnswer: (k + 1)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -25 in -1, -0.066, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 43982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 609.4 + -609.8. Put z, -8, -5, -1, -2 in decreasing order.\nAnswer: z, -1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 5, n: 13}. What is prob of sequence hnh?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-6)\/378*-138*12*7 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -40040342 - 10?\nAnswer: -40040402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = -0*b + 10. Let u be b\/(-6) + (-2)\/(-18). Which is greater: -2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3002*m**2 + 6002*m + 4 = 0 for m.\nAnswer: -1\/1501, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4 * 14820830\nAnswer: 59283320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of -c**5\/60 - c**4\/8 + 2*c**3\/3 - 2*c**2. Let j be a(-3). Find the third derivative of 2*f**5 + j*f**5 - f**2 - 5*f**5 wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-7)\/(h\/h**(-1\/6)))\/(h**(-1\/3))**(-7) assuming h is positive.\nAnswer: h**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = -5*c + 1. Let o be (-6)\/21 - 24\/14. Let j be h(o). Suppose 1 = 3*k - j. Put -5, k, -3 in ascending order.\nAnswer: -5, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 62*m**3\/3 + 220*m**2 - 8*m + 7. Find the first derivative of f(h) wrt h.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2432115.03938 - 2431867. Let b = -248 + r. Let v = b + -0.038. What is v rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w - 7 - 13 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes after 5:58 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + 26 - (-669 - -708).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -2983990556 - 0.1?\nAnswer: -2983990556.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 776*u**3 - 775*u**3 + 834*u**2 + 1 + 800*u**2 in the form k*u + f*u**3 + c + s*u**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-6)\/4 - 472\/(-336). What is the nearest to 2 in m, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 - -4. What is the smallest common multiple of 7 and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the second derivative of 1\/2*n**3 + 1\/12*n**4 - 5*n - 3\/2*n**2 + 0. Give j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 747 and 13592412?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637) + ((-1 + sqrt(637) + -1)**2 - sqrt(637) - sqrt(637)) - sqrt(637) - sqrt(637) - (-3 + sqrt(637) + 2)**2) + 0 + -2.\nAnswer: -35*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2088 to the power of 1\/2, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the third derivative of c**6\/60 + c**5\/10 + 5*c**3\/3 + c**2 + 11*c. Find the first derivative of x(n) wrt n.\nAnswer: 6*n**2 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/7*(-2460)\/(-7380).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 2.7194466 months?\nAnswer: 0.0022662055","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 23, 7, -54, 114 in descending order.\nAnswer: 114, 23, 7, 1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n = -2*n - 71. Suppose -5*d + 8 = 3*o - 33, -d = -3*o + n. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*r = -21*r + 24. Solve 0 = o + r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -77 - a09a?\nAnswer: -a144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(102)\/sqrt(6))**2 - sqrt(17)) + -3)*6.\nAnswer: -6*sqrt(17) + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23564*m - 23520*m + 1848 = 0 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: Let o = 4.97 + -5. Let g = -191722 + 191728. Which is smaller: o or g?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 60559 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/4*o + 5\/2*o**4 - 1\/2 - 3\/4*o**5 - 5\/2*o**3 + 0*o**2.\nAnswer: -(o - 1)**4*(3*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -168?  (a) -1\/2  (b) 0  (c) -23\/6  (d) 0.58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 31*q + 73*q + 1 + 3.\nAnswer: 42*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/7 - (-1248)\/546.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 27240 divided by 4540.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is h in 4*h**4\/5 - 823624*h**3\/5 - 658332364*h**2\/5 - 131627836784*h\/5 - 130970328048\/5 = 0?\nAnswer: -398, -1, 206703","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from hhqhtqhxhhqhhqqqxhhq.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2e8149 (base 15) to base 5.\nAnswer: -1034123134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 0.8999 * 4\nAnswer: 3.5996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f**(4\/9)*f)\/(f*f**(-10)))\/((f\/(f**(-4\/5)*f))\/f*f*f**(-5\/4)\/f) assuming f is positive.\nAnswer: f**(2321\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (3354\/301)\/((-1)\/(-7)). Let v be 130\/p*(-18)\/(-10). Solve -2 + 17 = -v*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 742 and 4558?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 587 minutes before 3:28 AM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/8)\/((-36)\/12))\/(-1).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/6)\/l)**(3\/4)*(l**(-2)*l)\/(l\/l**11) assuming l is positive.\nAnswer: l**(65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.5 and 19.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 319082 is divided by 8368?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -25 + 28. Let z(m) be the first derivative of 2 + 0*m + 1\/3*m**c + 0*m**2. Let k(q) = -q. Give k(z(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*k + 6*k - 8*k**2 - 4*k + k)*(1217 - 922 + 1169) to the form x*k + n + t*k**2 and give t.\nAnswer: -11712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 677985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 18003, 33, 4 in ascending order.\nAnswer: 4, 33, 18003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from otoojooxtojooxxtjooo. Give prob of sequence to.\nAnswer: 33\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -213, -219, -227, -237?\n\"Answer: -b**2 - 3*b - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3*10\/75)\/(2\/10). Let o = 4 + -3. Put o, 1\/2, b in decreasing order.\nAnswer: o, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 - 84*r**2 - 1322*r + 1404.\nAnswer: 2*(r - 54)*(r - 1)*(r + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 PM and 6:09 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:51 PM and 6:39 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -4 + (2 - 0) - -8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17061435?\nAnswer: 3, 5, 103, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-13)\/(g*g*g**(-2\/29)) assuming g is positive.\nAnswer: g**(-433\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -3*b**2. Suppose -25*v = -77 + 2. Let w(k) be the third derivative of 0 + 0*k + 0*k**v - 11*k**2 - 1\/8*k**4. Calculate r(w(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3.546 - -1.146. Let o = 0.8 - -0.2. Which is the closest to n?  (a) o  (b) -0.4  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*b**3 - 238855*b**2 + 477725*b - 238865.\nAnswer: -5*(b - 1)**2*(b + 47773)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -742*w**3 + 1264*w**2?\nAnswer: -4452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -318 and -8094346.\nAnswer: -8094664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -4, -22 in descending order.\nAnswer: 4, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3791873\/70 + 54168. Find the common denominator of l and 89\/160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from caiaachhyhacyay. Give prob of picking 1 y and 1 c.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -47338045 to the nearest one hundred thousand.\nAnswer: -47300000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 14*c**5 + 5*c**4 - 5*c**3 + 3*c. Let i(d) = 7*d**5 + 2*d**4 - 2*d**3 + d. Let v(t) = -5*i(t) + 2*u(t). What is the second derivative of v(o) wrt o?\nAnswer: -140*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 77*r**2 + 20*r - 28. Calculate the least common multiple of o(2) and 80.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 18 and 33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: (-321 + 197315\/589)*-2*(1 - 5\/4)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvu when three letters picked without replacement from {u: 4, q: 1, v: 2, h: 3, m: 3, j: 2}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 1 = r, 2*z = -3*r - z + 9. Solve -r*v = 1 - 6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1497830.\nAnswer: 2, 5, 101, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -259 by -259.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*y = -19*y + 1260. Suppose 4*n + 46 = -326. Let l = n - -177. What is the highest common factor of y and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 47*d**2 + 1359*d + 8256. What is v(-6)?\nAnswer: 1794","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 4*v**2 + 376*v + 8836 = 0.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is one sixteenth of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 49548, 99111, 148672, 198231, 247788, 297343, 346896?\n\"Answer: -m**2 + 49566*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -21399651, -21399649, -21399647, -21399645?\nAnswer: -21399643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((5590 - 5590 - 175*x)*(-2 + 3 - 2 + (-1 + 2 - 3)*(1 - 1 + 2) + 4 + 2 - 4 + 1 + 4 - 3) + (3*x - x - x)*(2 - 2 - 1))*(13 + 8 - 9)*(-x - 3*x + 6*x).\nAnswer: 4176*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vwvd when four letters picked without replacement from wdvvwwwwdvddd.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 10 = -2*c, 33 = 2*r - c + 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11417044*t**4 + 72500765*t**2.\nAnswer: -274009056*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*t**2 + 111*t + 181*t + 6*t**2 - 292*t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13409*n**2 - 17*n + 17*n - 13383*n**2.\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0003416 rounded to five decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -738 (base 10) to base 11\nAnswer: -611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-24)\/16*(-2)\/((-3)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 607*z**4\/12 + 460*z**3\/3 - z**2\/2 + 24*z - 16. Find the second derivative of m(t) wrt t.\nAnswer: 1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6*-749.43.\nAnswer: 4496.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 431 - 405. Find the first derivative of 180*o - 189 - z*o + 30*o wrt o.\nAnswer: 184","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 8*m = -979. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.4900481 + 3.49. Round o to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*t**2 - 3268*t + 3272.\nAnswer: -4*(t - 1)*(t + 818)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = -2*f + 5. Let i be 4\/(-2) + -4 + 93\/31. Put f, 5, i in descending order.\nAnswer: 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 33429711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -315553776*k**2*u**3 + 180163089*k*u**3 wrt k?\nAnswer: -631107552*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47.5*-1.679559.\nAnswer: -79.7790525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -144 = -23*p + 47*p. Let u(y) = 15*y + 5. Let j(x) = -7*x - 2. Determine p*u(h) - 13*j(h).\nAnswer: h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(76)\/(-1*sqrt(400)) + -3.\nAnswer: -3 - sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + h + h = 0, h + 5 = 0. Let n(c) = 4*c**2 + 6 - c - 2*c**v - 7 + 3*c**2. Suppose 0 = 3*d - 3*k + 9, 0 = -4*k + 6 + 2. Determine n(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 5981.256 months?\nAnswer: 0.498438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 112*332\nAnswer: 37184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the first derivative of -r**6\/6 + r**5\/5 + r**4\/2 - 2*r**3\/3 - r**2\/2 + r - 17. What is t in o(t) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.002 and -303.22648647.\nAnswer: -303.22448647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 9.038 + -13.038. What is the third biggest value in 2, -0.6, b, 1\/4, -52?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**4\/7 + 28*d**3 - 4602*d**2\/7 - 1400*d - 5000\/7 = 0. Calculate d.\nAnswer: -1, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 3425765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 33\/2 + -3\/4. Calculate the common denominator of p and -69\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - 2*a - 13, -3*m - 4*a + 0 = -1. Let g = -3 - -6. Let d be (-3 + (1 - g))*-1. Is d not equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1241504018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1097*f**3*g**3 - f**3*g**2 + 46539*f**3*g - 6*f**2*g**3 + f**2 wrt g.\nAnswer: 6582*f**3 - 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 4, y: 3}. What is prob of sequence lyly?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1316423, -2633288, -3950153?\n\"Answer: -1316865*c + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 + 1. Let n(b) = -2*b**3 - 21*b**2 + 12*b + 14. Let y be n(-11). What is the first derivative of -9*i**3 + r*i**3 + 0 + 0*i**y - 4 wrt i?\nAnswer: -21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - z = 3*o - 63, z = -3*o + 27. Suppose -c - 5*f + 130 = 0, -5*f + 6*f - 425 = -4*c. Let d = -94 + c. What is the lowest common multiple of d and z?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes after 11:34 AM?\nAnswer: 3:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3940.04 + -3807. Let b = 133 - p. What is the smallest value in 3, 1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -141*w - 19. Let a be t(-2). Let g = a + -215. Is g a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*v + 7*v. Suppose -m + 15 = 5*l, v*m + 9 = -4*l - m. Solve -l*j - 5*c + 30 = 0, 2*j - 3*j - 3*c + 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 4, c: 9, o: 4, j: 2}. Give prob of picking 2 o and 2 c.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 5*s = -i + 255, -5*i - s + 303 = 0. Calculate the greatest common divisor of i and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + i = 0. Solve 4*x = -i + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -262.2804144 to the nearest integer.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*o - 2*o = -6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1384183.\nAnswer: 347, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -25*k**2 + 78520*k - 61653904 = 0.\nAnswer: 7852\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3022546 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*i**3 + 2*i + 2*i**2 - 200 - i + 315 - i + 2*i**4 - 2*i to the form b*i**3 + k*i + w*i**4 + d + x*i**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 PM and 11:39 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffffff. Give prob of picking 3 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*y + 1574*y**2 - 5550 + 5553 - 1549*y**2.\nAnswer: 25*y**2 + 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 3399429827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15282514*b**2 + 5912091*b**2 - 4717659*b**2.\nAnswer: 16476946*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -96\/11 + 16\/11*y + 2\/11*y**2.\nAnswer: 2*(y - 4)*(y + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3491487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 667 minutes before 8:43 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 - 23*h**2 - 20*h + 44. Let v be (1 - (-6)\/(-4))*-4*-11. Let t be o(v). Which is the closest to 0.05?  (a) -4  (b) -2  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -3.594 + 9.594. Let q be 2\/5*(-2 + 3). Which is the nearest to q?  (a) 0.4  (b) f  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 6*p**3 - 6*p**2 - 10*p. Let i(j) = -2*j**2 - 6*j + 2*j + 2*j**3 + j. Let r(f) = 7*f + 2. Let d be r(2). Let o = d + 0. Calculate o*i(y) - 5*k(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(110)\/(sqrt(20)\/sqrt(2)) - sqrt(11) - (sqrt(11) + -1 + sqrt(99))) + (sqrt(22)\/sqrt(18) - (3 + sqrt(11) + sqrt(44))) + 4.\nAnswer: -44*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -232\/3 + 77. Which is smaller: -2 or v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 5*x = -383, 32*y - 3*x - 275 = -436 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 77\/36089946 and -127\/918.\nAnswer: 108269838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 - a**2 + 46. Suppose -2*b - 3*b + 60 = 0. Calculate the remainder when h(0) is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 3498*q - 503366. Calculate f(144).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 263\/12 + -22. What is the closest to 0.1 in i, -5, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of -w**3 - w**2 - 4*w - 4. Let k be v(-2). Let t = k + 20. What is the least common multiple of 4 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1488 and 504?\nAnswer: 31248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-783*q + 392*q - 11*q**2 - 2 + 396*q)*(-4*q + 3*q + 0*q).\nAnswer: 11*q**3 - 5*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 534 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: b\"What is the dth term of -12, -10, 0, 24, 68, 138, 240, 380?\n\"Answer: d**3 - 2*d**2 + d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 582 and 14356?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.2  (b) 5  (c) -18  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 20. Suppose c*j - 14 = 1. Suppose 0 = -y + j*y. Solve -5*l = 2*i - 6*i - 41, -2*l + 5*i + 30 = y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 112 = 5*s. Suppose 0 = 3*p + p + 3*l - 4, 2*l + 8 = 0. Suppose -p*d + s = -10. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1902448711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 2 = -359*m + 358*m, 8*m = -3*q + 43 + 11 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o + o + 15 = 0. Let h(a) = -3*a**2 - 5*a - 35. Let b be h(-7). Let p = -143 - b. Sort 8, p, o, -4 in descending order.\nAnswer: 8, p, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 0  (b) -0.1  (c) 204  (d) 258\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1140*d - 3*f + 24 = 1143*d, 52 = -4*d + 3*f for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -11*p**2 + 346*p + 10. Let u(n) = -6*n**2 + 172*n + 6. Calculate 3*h(o) - 5*u(o).\nAnswer: -3*o**2 + 178*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*x - 13*x - 7 = 0, -127826 = -5*l - 3*x. Round l to the nearest one thousand.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - 1) + -33 + -35 + (65 - 31)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5 + (5 + (2*sqrt(88)\/sqrt(4) + sqrt(22) + 4*sqrt(198))\/(5*sqrt(1584)\/sqrt(4)))**2).\nAnswer: 30*sqrt(2) + 123","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the first derivative of -2*j**3\/21 + 62*j**2\/7 - 1922*j\/7 - 156. Let k(o) = 0. Calculate o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 12 = 0, -b + 572 = 4*h + b. Suppose -l = -5*k + 318, 4*k + 2*l - 105 = h. Is 12 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) be the first derivative of -p**4\/4 - p**3 - 3*p**2\/2 - p - 8. Factor h(q).\nAnswer: -(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -66 + 13 + 19 - -26.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((-1 + sqrt(175))*5 + 2*1*sqrt(175))**2.\nAnswer: -350*sqrt(7) + 8599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1797.\nAnswer: 3, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the first derivative of -5*b**4 + 315*b**3 - 235*b**2\/2 + 1516. Let a(n) = 0. What is n?\nAnswer: 0, 1\/4, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26*k**3 - 4804*k**2 - 84690*k + 19800 = 0 for k.\nAnswer: -165, -20, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17182\/(-2343))\/(22\/(-102)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the second derivative of 1\/6*r**4 + 11*r**2 - r**5 - 8*r + 0*r**3 + 7. What is the third derivative of w(m) wrt m?\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/17)*i)\/(i**(-2)\/i))\/((i**24\/i)\/(i\/i**(-22))) assuming i is positive.\nAnswer: i**(66\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 15771*w. Let f(l) = -1462*l**2. Calculate t(f(k)).\nAnswer: -23057202*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 77 - 30. Suppose x*s = 45*s + 2. Let b be (s - 8)\/(1\/(-9)). Calculate the greatest common factor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) be the first derivative of -199*m**3\/3 - 3*m**2\/2 + m + 530. Find the second derivative of d(t) wrt t.\nAnswer: -398","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30 - (25 - (2 - 17 - -17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 526 and 5.\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -120022212 (base 3) in base 13?\nAnswer: -5117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -l**3 + 4*l**2 - l - 6. Let x be v(3). Put 5, x, -1 in decreasing order.\nAnswer: 5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = m - k + 9, 4*m - 4*k = 24. Let t(l) = 2*l**2 - 21*l + 50. Let o be t(m). Solve -d + 5 = b - 2*d, -4*d + o = b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 94 + -90.3. Let z = -1.3 - f. Suppose -2*d = -n + 5*n + 2, 4*d = -2*n - 10. Which is the closest to n?  (a) z  (b) 4\/3  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -196898, -196970, -197034, -197090, -197138?\nAnswer: -197178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/2 and 61\/84276106.\nAnswer: 84276106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2849 + 2848.99996613. Round s to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = 4 - 3. Suppose 514*a + 56 = 542*a. Sort 5, a, p in decreasing order.\nAnswer: 5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 759871006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*r + 120*r - 3*r - 776 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (26\/10)\/(3\/675*5) is divided by 31.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4.892 + -0.108. Put k, -2\/15, -0.3, 4 in descending order.\nAnswer: 4, -2\/15, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2594 at least -2594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-6))\/(155710\/10155).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1870970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 123\/10651870 and 87\/4388.\nAnswer: 21303740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1b (base 16) to base 14.\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 3*i + 3 = 0, i + 3*i = 5*c - 3. Let a(t) = t**3 - 3*t**2 + 3. Let x be a(c). Let f be (2\/8*x)\/3. What is the second biggest value in -1, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 15621 - -1?\nAnswer: 15622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of 16 and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0*l + 0 + 0*l**2 + 1\/2*l**4 - 1\/2*l**3.\nAnswer: l**3*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 719*h - 697*h + 160 = -38 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2 and 51747746.\nAnswer: 10349549.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 87*d**2 + 0 - 3 + 12 - 86*d**2 + 4 + 7*d. Give h(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1940 divided by 388?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 0.5304?\nAnswer: -0.2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 17524 and 553354.\nAnswer: 14387204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -142*w. Let y(m) be the first derivative of -43*m**3\/3 - 3041. Determine l(y(j)).\nAnswer: 6106*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36*p + 127094 = -25*p. What are the prime factors of p?\nAnswer: 2, 53, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2\/501 - 992\/2505. Which is the closest to m?  (a) 2\/3  (b) 0.5  (c) 0  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (l**2 + l**2 - 9*l**2)*(-2*l**2 + 3*l**2 + 0*l**2 + (l + 4*l - 3*l)*(-2*l + 0*l + 3*l)) - 3*l**4 - l + l + (3*l + 2*l**3 - 3*l)*(-5*l + 3*l + 3*l).\nAnswer: -22*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {q: 3}. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -2124*0.4\nAnswer: -849.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 6 + -6.2. Suppose -3*v + 10 = 2*w, -2*v + 0*v - 8 = 0. Suppose s + 10 = -5*t - w, 3*s - 5 = 2*t. What is the closest to n in s, 0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1\/4, 5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 12661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4040 and 180292070.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 777\/2 + -338. What is the common denominator of -9\/11 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -25\/2 - -12. Let g = -0.11 - -11.11. Let o = 6 - g. What is the third biggest value in a, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 2) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 7*w + 1. Let f be s(-1). Find the common denominator of (-633)\/(-63) - f\/21 and -47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*y - 38 - 10. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-1115)\/(-20))\/(1\/4). Let b = r + -217. Solve 0 = g - 4*i + 2 + b, -g = 5*i - 19 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -s**3 - s**2 + 3*s + 5. Let y be q(-2). What is the smallest value in -2\/3, y, -0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1857469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 934*k + 15 = 939*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((4 - 1 + 0)*(-7*w + 6*w + 6*w) + (-10*w + 5*w - 6*w)*(-1 - 3 + 3))*(26 - 5 - 3 + w) to the form c*w + h + s*w**2 and give c.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -0.2271 * -82.74\nAnswer: 18.790254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = j + 26 - 26, 5*s - j - 8 + 50 = 2*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -7\/2, -1\/3, 7\/9, -3\/4, 3?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 148 + -323. What is the units digit of ((-2)\/(-5))\/((-5)\/i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 3 = -3*v, 0 = 2*v + a + 3*a + 16. Which is greater: v or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -256 - -454. Let w be (-1)\/(-2) + 35\/2. Calculate the highest common factor of k and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 50322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2*l)*(7 - 7 + 8*l + (4 + 1 - 4)*(-4 - l + 4) + 2*l + 2*l - 5*l)*(-3*l - l - l).\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m + 0*m - 800 = 0. Suppose -t - 4*t = -m. What is t rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 3 and 9.39?\nAnswer: 6.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (76\/95)\/((-8)\/(-158780))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that -3*t**2\/4 + 7554069*t + 30216279\/4 = 0.\nAnswer: -1, 10072093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 931 + -933. Let k = 0.2 - -0.8. What is the closest to k in 0, j, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b - 7. Let a be m(-14). Let i(w) = a*w + 0*w - 2 - 6*w. Let g(z) = -2*z + 1. Let d be g(-3). What is i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 94*-41094\nAnswer: -3862836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (470\/60 + -8)\/((-1)\/(-3))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28)\/1771*42\/1512*198.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3 - -8. Suppose -5 = -0*p - g*p. Let o = 4\/3 - p. Which is smaller: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -69 - -114. Suppose -t = -9*u - 9. Determine n so that 48*n**3 - 23*n**3 - u*n**4 - 10*n**2 - 13*n**3 + 2*n**4 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b = 4*x - 3*b + 10, -x = b - 2. Suppose x = 2*o - 37 + 31. Let k(v) = 0*v**3 - 21 + o*v + 39 + v**3 + 6*v**2 - 22. Give k(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - 1 = -c, -152 = 4*w - 4*c. Suppose 3*r = 8*r - 2*l - 50, 0 = -3*r + 5*l + 30. What is the remainder when 4\/(-26) - 1488\/w is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -464424 divided by 4?\nAnswer: -116106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -21 - -62\/3. Let x = 66 + -67. Which is the nearest to -2\/7?  (a) x  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 78 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2873 and 65?\nAnswer: 14365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -5*h - 15. Is 3 a factor of (12\/h - -6) + 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 747177 divided by -249059?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*t - t = -2*k - 1, -5*t - 5*k + 5 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 198*v = 2756 - 5020 - 11200 for v.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1 + (sqrt(2016) + (sqrt(2016) - sqrt(2016)*4) - sqrt(14))\/((sqrt(84)*1)\/sqrt(12) + sqrt(7) - sqrt(7)).\nAnswer: -25*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v = -72. What is the greatest common divisor of 18 and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (34 + 17 - 19)*(-2 - 3*v + 2) + 4*v + 8*v - 8*v.\nAnswer: -92*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 11111 (base 2) to base 5.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a - 40*x = -44*x - 16, -4*a - 23*x = 107 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 4772238, 9544478, 14316718?\n\"Answer: 4772240*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dddogodgoo. Give prob of picking 1 g and 3 o.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -223636987, -447273976, -670910965, -894547954, -1118184943?\n\"Answer: -223636989*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 2, r: 2}. What is prob of sequence trrt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1662 in 0.4, -1\/6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-6*((sqrt(1188) - 2*sqrt(1188)) + sqrt(1188) + sqrt(1188)))\/(-3*(-1*sqrt(539) - sqrt(539) - sqrt(539))).\nAnswer: 16*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 4, p: 1, j: 4, s: 7, f: 1, k: 3}. Give prob of sequence fp.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1\/3  (b) -17\/4  (c) -0.1  (d) 2\/11  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 - 5*m**2 + 5*m - 8. Give r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -487*r + 5. Let q = 74 - 79. Let t be z(q). Is t + (1 - 0)*-3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -84\/143 - -23\/13. Find the common denominator of (-98)\/(-33) + 14\/21 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, 5, 7128, 6?\nAnswer: 7128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 7*p = -6*p. Suppose 4*r + 2*l - 12 = p, 5*l = 4*r - 2 + 4. Put -0.8, r, -3\/4, -0.4 in descending order.\nAnswer: r, -0.4, -3\/4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/(-16)*16\/80*-5.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Let o be 4\/14 - 7581\/(-49). What is the third smallest value in o, 1\/4, -5, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3085297 is divided by 9552.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -7564 - -7624. What is the remainder when 1616 is divided by m?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5229533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 + 46*k**2 + 136*k + 306. Calculate b(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52*r + 211600 = 49*r + 118*r. Does 20 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = u - 3*u + 148, 4*u - o = 308. Does 24 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 14 and 5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6 + 1. What is the derivative of -y*c + 7*c + 0*c**2 - 2 - 2*c**2 wrt c?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17073*n**2 - 19582737*n + 6882 = 0.\nAnswer: 2\/5691, 1147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21 and (-1310*(-4)\/160)\/(2\/32) - 6?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 40 = -3*r + r, 2*r - 16 = -h. Let m = 3 - -1. Let o be (-12)\/9*(-6)\/m. Solve o*g + r = 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.2 or 26960?\nAnswer: 26960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-8)\/(-12)*3\/(-4). Let m = 0.03 + -0.23. Put m, -1\/6, r in increasing order.\nAnswer: r, m, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 461 is divided by 36?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -8b495 (base 16) to base 7.\nAnswer: -4564213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 2 = -32. Suppose 3*o + 63 = t*o. Suppose -5*z - 2*a = -42, -7*a + o = 2*z - 2*a. Solve -z + 0 = 4*r + 4*j, 5*j = 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -3*d**2\/5 - 63714*d\/5 + 191169\/5 = 0.\nAnswer: -21241, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*y - 31*y + y**2 + y**2 + 32*y + 3*y + 36 in the form j + w*y + p*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 9 = x, -5*g + 262 = -3*x + 219. Sort g, -7, 59 in ascending order.\nAnswer: -7, g, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 554160788 divided by 614?\nAnswer: 902542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 974702063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/53398?  (a) -1\/2  (b) -1\/8  (c) -1\/4  (d) 1  (e) -1  (f) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 5) to base 10\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1815 smaller than 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:35 PM and 2:25 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-940)\/40)\/(15\/(-20)*(-8)\/(-12))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1484 divided by 2.\nAnswer: 742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/122 in 20\/3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 285*m + 1567 = -8233 for m.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = 4*w**2 + 9*w. Let a(s) = -2*s**2 - 4*s. Let b(t) = -9*a(t) - 4*u(t). Let z = 6 + -4. Let y(x) = 3*x**2 - 4*x**z + 2*x**2 - 3*x**2. Calculate b(y(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.072494 times -0.612?\nAnswer: 0.044366328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 36603 (base 8) to base 7\nAnswer: 63624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 32*x - 19. What is the tens digit of u(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 2 l when three letters picked without replacement from {r: 9, l: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -77, 0.4, 2, -1\/4, -4, 1?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -553b0f (base 16) to base 9.\nAnswer: -11453100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 z when two letters picked without replacement from guggggkgzkggggkgkh?\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-3)\/((-3)\/122) - 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-8) - 51\/6. Let d be (-2)\/4*(-13 - l). Suppose 1645 = 5*p - d*g, 5*p - 4*g = 2207 - 552. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 498331 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 2*k = 2, -18 = -a - k - 3*k. Let t(w) = 6 - 6 - a*w. Let l(u) be the third derivative of u**4\/6 - 2*u**2. Determine l(t(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -582*3\nAnswer: -1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 68963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 4862916 equal to 4862916?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1725390, -1725377, -1725364?\nAnswer: -1725351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 12\/(-45)*15\/(-6) - 8\/36?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55\/7 bigger than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -20230002 (base 4) to base 14\nAnswer: -cd7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 10*q - 141. Calculate x(22).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.5 and -1.48.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 583698.4 millilitres?\nAnswer: 583.6984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(350)*3*5)\/(sqrt(63)\/(sqrt(18)\/sqrt(2) + sqrt(9)) + 4*-1*sqrt(7)) + -4)**2.\nAnswer: -1200*sqrt(2)\/7 + 45784\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26*13\/4732*-7.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 9. Let u be (10\/8)\/((-6)\/8). What is the smallest value in u, 0.3, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - (1 - 3))\/((-2)\/(-6)). Solve -8 - 1 = -n - 2*k, r*n - k + 8 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -114 - -210. Let y = 4 - 2. Suppose y*k + 0*k - 66 = 0. Calculate the remainder when r is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1\/((-28)\/(-22)*(-132)\/(-48))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 216\/(-45)*(10\/3)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 20.2. Let a = -3.9 - 0.1. Let l = a + w. Sort l, -1\/8, 3 in descending order.\nAnswer: 3, -1\/8, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the first derivative of l**7\/105 + l**3\/3 + l**2\/2 + 4. Let j(s) be the second derivative of x(s). What is the first derivative of j(f) wrt f?\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 375 times 0.5?\nAnswer: 187.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:42 AM and 9:35 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18797 divided by 373.\nAnswer: 18797\/373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -68 - -38. Let w = 1771\/39 + -599\/13. What is the second biggest value in -4, c, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10.1 + -10. Let g(k) = k**3 - 7*k**2 + 2*k - 10. Let f be g(7). Which is the nearest to l?  (a) -2\/11  (b) f  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 36*v + 20*v + 17*v = 40, 22*v - 8*v + 38 = 108 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 307 = 239. Let u = t - -245. Let b = u - 73. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -889 divided by 889\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g + 4*i = 12, -2*g + 2 = 2*i - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-102)\/(-24))\/((-5)\/(-2020)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the third derivative of -2*i**4\/3 - i**3\/2 - 4*i**2. Let l be n(-3). Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -47526, -95049, -142576, -190107, -237642, -285181?\nAnswer: -332724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 9126 - 9126. Suppose 0 = -2*h + 6 - 2. Solve 0*b + h*b + 8 = u for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -7911, -7889, -7845, -7785, -7715?\n\"Answer: -a**3 + 17*a**2 - 22*a - 7905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:41 AM and 2:35 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 25 - 29. Sort p, -0.5, -1 in decreasing order.\nAnswer: -0.5, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*z + 10*z - 3*m = -58, -4*z + 3*m = -262. Is 127\/2 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-150)\/4*(-5)\/(-200) and 3\/154.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**2 - 5*g + 17. Calculate y(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -17*j - 18*j - 5005. Let v = j - -147. Suppose -2*l + 1 = -3. What is the highest common factor of l and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + -19 + 6 + -41?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/3*b**2 + 430\/3*b + 428\/3 = 0. What is b?\nAnswer: -214, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12769462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 652\/41 or 17?\nAnswer: 652\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 13*t. Let q(i) = -80*i - 1. What is g(q(y))?\nAnswer: -1040*y - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 0.4 * -544\nAnswer: -217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 5414 divided by 2\nAnswer: 2707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -6*n + 14. Let u be (7 + 4 + -6)\/((-5)\/(-3)). Let l(h) = -2 + 4*h - 2*h - 3. Let b(v) = -9*v**3 - 1. Let a be b(-1). Determine a*l(i) + u*f(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = o**3 + 25*o**2 - 4*o - 42. Calculate f(-25).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11\/7?  (a) -0.015  (b) 0  (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0008244 rounded to 5 dps?\nAnswer: -0.00082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 199866214?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 349277, 198, -4 in descending order.\nAnswer: 349277, 198, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -201155065 (base 7) to base 4\nAnswer: -230203002001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 72924615 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y + 4. Let i(w) = -3*w - 11. Determine -8*h(j) - 3*i(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1303 (base 6) to base 10\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5166 divided by 6\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*g + 2*g + 5*g)*(-1 - 1 + 1)*(0 + 1 - 2) - 4*g + 2*g + 4*g in the form q + v*g and give v.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 13\/8 of a millennium in months?\nAnswer: 19500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2 - 4) + -4)*(-1)\/1. Let d(m) = -2*m + 19. Let f be d(h). Which is the closest to 6?  (a) f  (b) -0.7  (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14 and 826?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -14 + 10. Let i = k + -2. Let q = i - -6.5. Which is the biggest value?  (a) 0.3  (b) q  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*x + 10325*x**2 + 0*x - 10384*x**2 in the form v*x + k*x**2 + u and give k.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n*n**(-2\/3)))**(12\/7))**(-18) assuming n is positive.\nAnswer: n**(-144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0018662 to 5 dps.\nAnswer: -0.00187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**3\/5 - 176394*c**2\/5 + 7778710809*c\/5.\nAnswer: c*(c - 88197)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (1651\/(-39624))\/((3\/(-2))\/3)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 - (36 - (2 + 12 + -7)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 111279654?\nAnswer: 2, 3, 17, 363659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/(-2)*12\/(-18). Let m(k) = -2*k**2 - 3*k + 2. Let x(r) be the first derivative of r**2\/2 - r - 7016. Determine a*m(g) - 4*x(g).\nAnswer: 2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 432*q**2 - 25*q - 177*q**2 + 27*q - 59*q**2 + 373*q**2 + 156*q**2.\nAnswer: 725*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -241*s - 5*s + 52*s + 54*s + 24*s to k*s + r and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 34, 52, 58, 46, 10, -56, -158, -302?\n\"Answer: -w**3 + 25*w + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5431?  (a) -1  (b) 0.3  (c) 0.1  (d) 0  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wfd when three letters picked without replacement from {d: 7, w: 1, x: 7, i: 2, f: 2}.\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 - -72. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -9 + 6 - 2 - d**2 + 2*d**2. Let s be ((-3)\/9)\/((-124)\/60 + 2). Suppose 3*b = s*x - 17, 4*b = -0*b - x - 15. Calculate m(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 13*a**2 + 12*a + 15. What is the lowest common multiple of h(-12) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 156 minutes before 6:11 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -19387 (base 15) to base 12.\nAnswer: -3b40a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 816869205?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 23?  (a) 3  (b) 5  (c) 2\/7  (d) 2\/1023  (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*x**4 - 2*x**4 - 2*x**4 + (-38*x + 38*x - 4*x**2)*(0*x**2 - 2*x**2 + 3*x**2).\nAnswer: -14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -648 + 710. Suppose 25*l + 12 - d = 0. Let -48\/17*t - 32\/17 - 18\/17*t**l - 2\/17*t**3 = 0. Calculate t.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1781, 14335, 48405, 114749, 224125, 387291?\nAnswer: 615005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2)\/(6\/(-1)) - (-68)\/12. Solve -3*j = -p + a, 0 = -0*j - 2*j - 5*p + 13 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10378224.\nAnswer: 2, 3, 97, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) be the first derivative of z**3\/3 - 2*z**2 + 5*z + 250. Let w be (0 - 4)\/((-3)\/3). Let x be v(w). Sort -18, x, 0, -5 in descending order.\nAnswer: x, 0, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3720)\/(-310)*(-105)\/(-45).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 65577064 divided by 20726\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1361 and 47?\nAnswer: 63967","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -189*h - 1143 = 2826 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(27) + (sqrt(27) - (sqrt(27) + sqrt(1323) + -2 + sqrt(27))))**2 - ((sqrt(1323) - sqrt(1323)*-6 - sqrt(1323)) + sqrt(1323) + sqrt(1323)).\nAnswer: -252*sqrt(3) + 1327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 27990469741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, -175, -66, 9 in descending order.\nAnswer: 9, 4, 3, -66, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qx when two letters picked without replacement from dxqrf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 3*l**3 - 6*l + 3*l - 9*l**3 + 5*l**3 + 3 - 3*l**2. Let z be g(-3). Calculate the greatest common factor of z and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -n**3 + 16471*n**2 + 131825*n + 115353.\nAnswer: -(n - 16479)*(n + 1)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*o**4*x - 48*o**3 - 3*o*x**2 - 6*x**2 - 81 with respect to o.\nAnswer: 12*o**3*x - 144*o**2 - 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 5*6\/5 + -4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 e, and 1 a when four letters picked without replacement from {a: 9, q: 3, z: 6, e: 1}?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -2*g. Let t(k) = -164*k**2 - 225*k**2 + 195*k**2. Calculate t(h(a)).\nAnswer: -776*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 95681?\nAnswer: 163, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-270)\/210)\/(192\/(-112)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/21 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2213*n + 1218*n + 999*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 10*u**2 - 47*u - 94. What is the remainder when 872 is divided by g(-2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 4 - 4)*(-y + 1 - 1 + (-2 - 3 + 3)*(-4*y + y + y) + y + y + 3*y) to c + x*y and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 7, s: 3, v: 3, o: 6}. What is prob of sequence sv?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 4 + -4*(3 + -2). Suppose -f + 201 + 134 = g. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of u**6\/120 + u**5\/5 + 2*u**4 + 32*u**3\/3 - 7*u**2. Solve d(w) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = -8*t - 224. Suppose 35*u + 1075 = -61*u - 1709. Determine a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11.9 - 12. Let v = h + -0.1. Let g be (-4)\/(-2) - (-248)\/(-62). What is the closest to v in g, 3, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ueu when three letters picked without replacement from {u: 2, e: 4, p: 1}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 163426789.\nAnswer: 43, 3800623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 5*s**2 - 4*s + 3. Let b be (10\/15)\/((-2)\/(-24)). Suppose -2*h = -5*i + b + 17, 5*i + 3*h = 0. Give a(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 626934 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 99843016 by -56.\nAnswer: -1782911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (8 - 11 + 10)*(5*j + 0 + 0) + 4*j + 35*j + 3*j to w + i*j and give i.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -332 - 8. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01479 rounded to 3 dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 50*r**5 + 104960*r**4 + 14665158*r**3 - 120188720*r**2 + 89084824*r - 17344992 = 0 for r.\nAnswer: -1948, -159, 2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of x**3\/3 + x**2 - 15*x - 6. List the prime factors of u(-8).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*u**4 + 3*u**4 - 6*u**4)*(21 - 37 - u + 13).\nAnswer: u**5 + 3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 10 = o. Suppose -2*i = -5*q - 3*i + 5, -4 = -4*q + o*i. Put -1, -3, q in increasing order.\nAnswer: -3, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3.2 - 45.6. Let t = 22.4 + l. Which is the nearest to t?  (a) 2  (b) -4\/7  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffoffof. What is prob of picking 1 f and 1 o?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 34*p - 34. Let n be s(25). Let d = 2022 - n. What are the prime factors of d?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(1331) + -5)**2 - -4*(4*sqrt(11)*1)**2.\nAnswer: 330*sqrt(11) + 12708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/12)\/((-425)\/75 - -13).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**(5\/6)*j*(j\/((j**11\/j*j)\/j))\/j*j**(-17)*j*j**(-2\/17) assuming j is positive.\nAnswer: j**(-2477\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (42*14\/(-189)*3)\/((-10)\/(-15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 0.1, -2\/5, -6, -277, -1\/2 in decreasing order.\nAnswer: 1, 0.1, -2\/5, -1\/2, -6, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7913 and 7743506?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/8, -3\/8, 4, 5, 37 in ascending order.\nAnswer: -3\/8, 1\/8, 4, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tvf when three letters picked without replacement from fvdtdvttmdmd.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 72054 = -5*n + 72016, -a + 5*n = -32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**4 + l**3 + l**2 - l - 1. Let k(s) = 18*s**4 - 2*s**3 - 2*s**2 + 2*s - 56. Let g(c) = 2*f(c) + k(c). What is the first derivative of g(v) wrt v?\nAnswer: 64*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = -i**2 - i - 1. Let t(g) = 6*g**2 - 6*g - 6. Give 6*c(d) - t(d).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -y + 4. Suppose 0 = 3*s + 12, k + 0*s + 5*s = -y. Let l = 6458\/9 - 716. Is l not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -131 (base 5) to base 15.\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2413 + 3?\nAnswer: 2416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29581.94 + -29509.940043. Let t = 72 - x. What is t rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6\/73 - 1392\/949. Let a = -100\/91 - z. Factor -4\/7 - a*o**2 + 6\/7*o.\nAnswer: -2*(o - 2)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 303424131 (base 5) to base 7.\nAnswer: 13323605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 339754580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -79528*c**2 + 158675*c**2 - 79325*c**2 + 2.\nAnswer: -178*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/3, 0.162, -4 in increasing order.\nAnswer: -4, 0.162, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 90\/21 + 2\/(-7). Suppose -4*j + 8 = d. What are the prime factors of (-3 + j)*(3 + -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 32570747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -2*q**3 + 21*q**2 + 5*q - 69. What is p(10)?\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 40*o + 3. Let u be r(-1). Let k = u + 19. Let v be (-4)\/(-20) - k\/10. Solve v = -f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -148 in 0.4, -2\/7, -0.0908?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -56 + 57. Let y be o\/(-6) - (-1825)\/(-30). Let f = 103 + y. Calculate the remainder when 125 is divided by f.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**3 + 20*j**2 - 4*j + 87. What is b(20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/(-2))\/((-9)\/6) + 5. Suppose 0 = b*m - m - 60. Let u be (-4)\/10 - 24\/(-10). Solve u = -5*g + m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 528 and 864?\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 8752 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 223\/5013960 and 85\/7112?\nAnswer: 5013960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 3239 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 minutes before 1:52 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ygry when four letters picked without replacement from {y: 5, e: 1, r: 4, g: 6}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 486 + -4913\/10. Calculate the common denominator of 61\/372 and z.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -892, -891, -890, -889?\nAnswer: -888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 157*m + 15513 = d + 154*m, 0 = 2*d + m - 30998. List the prime factors of d.\nAnswer: 3, 5167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/(-12)*15*4\/35.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*r**4 + 84*r**3 - 216*r**2.\nAnswer: -4*r**2*(r - 18)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2\/5  (b) 5\/3  (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 1. Let x(m) = -6*m - 8. Let f(u) = x(u) + 8*y(u). Let l(d) = 6*d**2. What is f(l(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the first derivative of 16*m**5\/5 - 7*m**3\/3 - 801*m + 1591. What is the first derivative of f(u) wrt u?\nAnswer: 64*u**3 - 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 5 - 8. Let p = -223 + 246. Suppose -21*u = -p*u. Which is the third biggest value?  (a) 1\/4  (b) u  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.092328958 to three decimal places.\nAnswer: -1.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 23175551 to the power of 1\/2, to the nearest integer?\nAnswer: 4814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 964380?\nAnswer: 2, 3, 5, 16073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d + 2 = 2*o, 5*o + 7*d - 3*d = -8. Let x(c) be the third derivative of 1\/24*c**4 + 0*c**3 + 1\/60*c**5 + 7*c**2 + 0 + o*c. Suppose x(j) = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236509057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24700554*i**3 + 12373*i**2 + i - 31?\nAnswer: -148203324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 244 + -201. Suppose n = -3*n - v + q, 21 = 3*n - 3*v. What is the smallest common multiple of 80 and n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - -4. Let l = 27169 - 461729\/17. Which is greater: l or t?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -21803 less than -21765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 35\/54027 and -59\/2731725.\nAnswer: 1822060575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-693)\/228)\/(78\/(-208)) + 5 + -13?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -2*y**2 - 16*y + 363. Let n be q(10). Which is the nearest to 2\/17?  (a) -3\/7  (b) 16  (c) n  (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.4, -1\/4, -288, -26\/11, 11, -4, -9?\nAnswer: -26\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 + 3*p - 1. Let k(v) = 5*v + 2 + 3*v**2 - v**2 - 4. Let n(g) = 4*k(g) - 7*z(g). Let q(u) be the first derivative of n(u). Give q(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1747006?\nAnswer: 2, 79, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 + (-1 + 10 + -1 + -22 - -10)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y**(-4\/5))**41\/(y\/(y*((y**22*y)\/y)\/y)*y**(8\/13)\/y) assuming y is positive.\nAnswer: y**(1923\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 1464335599 to the power of 1\/2, to the nearest integer?\nAnswer: 38267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -1054.2*57358\nAnswer: -60466803.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7809 + 0?\nAnswer: -7809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 273470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 142.1 - 142. What is the nearest to -2\/7 in -41\/3, 0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v - 6*v - 4 + 4 to o + f*v and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*s + 4*g - 42, 629*s = 627*s + 3*g - 45 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14599458 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2083282\/63515 + -2\/12703. Suppose -16*f + 75 = 2*q - 19*f, 129 = 4*q + f. Let k = q + i. Which is the smallest value?  (a) 1  (b) 2  (c) k  (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5, r: 3}. What is prob of picking 2 f and 2 r?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 + 131?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2282038 and 440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (-2)\/(-37) + 9912\/46620\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3800572.03 rounded to the nearest one thousand?\nAnswer: 3801000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1254 a factor of 607072686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 0 + -12 - (-4139 + 4130) - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that o**5 + 376*o**4 + 35701*o**3 + 535486*o**2 - 34533440*o - 35033600 = 0.\nAnswer: -238, -80, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -4*x**2\/3 + 134464*x\/3 = 0.\nAnswer: 0, 33616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3188232 divided by 354248\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of -q**4\/24 - q**3\/3 + q**2. Let t(z) = -43*z**2 - 58 + 20*z + 86*z**2 - 44*z**2. Let j be t(17). Give n(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2159449640 rounded to the nearest 1000000?\nAnswer: 2159000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 11 + -7. Let f = 2.3 + -0.3. Which is the third biggest value?  (a) q  (b) f  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 7  (b) -0.1  (c) 2\/17  (d) -2746  (e) -1\/28  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**2 + 14*g + 22. Determine j(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -265, 1, -2, 1.2, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*k**2 + 7*k**2 + 241*k**3.\nAnswer: 241*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -4*w**5\/9 - 3728*w**4\/9 - 12800*w**3\/3 + 1980440*w**2\/9 + 22295044*w\/9 - 8077784\/3 = 0.\nAnswer: -921, -22, -13, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwiiwwwiwwiiiwwjiwi. What is prob of picking 3 w?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k + 13. Suppose 12 = 2*d + 16. Let h be q(d). Solve 0 = -2*l - h + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.03 and 0.2839?\nAnswer: 0.7461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 127688 and 197336?\nAnswer: 2170696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -85 + 122. What is the third derivative of 111*y**2 - 503*y**5 - 222*y**6 + 503*y**5 + b*y**6 wrt y?\nAnswer: -22200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2b + 2246907?\nAnswer: 2246898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 82631.\nAnswer: 19, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find r, given that -25*r**4\/8 + 16915*r**3\/4 - 342249*r**2\/8 - 72511*r\/2 - 14773\/2 = 0.\nAnswer: -2\/5, 11, 1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/54)\/(292\/438)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*y + y - 6*y)*(7*y**2 - 2*y**2 - y**2) - 3*y**3 + 3*y**3 + y**3)*(38 + 22 + 47 + 9).\nAnswer: -1276*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -1, 19884, -2, 8 in ascending order.\nAnswer: -2, -1, 1, 8, 19884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -25 + 0*c**2 - 8*c**2 + 5*c**3 + 7*c - 4*c**3 - 6. Let q be k(8). Suppose 0 = -16*n + q*n - 39537. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*v**2 + v**2 + v**2)*(107 - 90*v**2 - 107).\nAnswer: -180*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 20 = -3*x, 4*u - 4*x = -0*u - 8. Solve 0 = -u*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 9:32 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 - l)*(-17*l + 16*l + 6 + 2) + 5*l**2 + 0*l**2 - 4*l**2 to x + k*l**2 + v*l and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) be the first derivative of -x**3\/6 - 15*x**2 - 70*x - 67. Let w(t) be the first derivative of l(t). Let a(s) = -s. Give w(a(r)).\nAnswer: r - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -65*l - 405171 = -26*l. Let u = l + -2461. What is u rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, h: 1, g: 6, i: 3, z: 3, f: 1}. Give prob of picking 2 i.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 40, 20.\nAnswer: -1, 20, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(48)\/sqrt(4) + 2 + (sqrt(300)*6)**2 + -5.\nAnswer: 2*sqrt(3) + 10797","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 76946 and 255802?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = o - 5. Let t(d) = -d - 3. Let c be t(-5). Suppose -m + 5*y + 10 = 0, -m + 5*y - c*y = -6. Give i(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u - 3*u + 3*g + 2975 = 0, -2*g = 3*u - 1804. Suppose 4*n - u = -70. Calculate the greatest common divisor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.56 - 1.02. Let q = v + 0.06. Sort -3, -0.2, q.\nAnswer: -3, q, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3030402 + -1518414. Let y be 6\/(-14) - m\/28. Round y to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 9 + 95*x**2 - 2.\nAnswer: 95*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 996517568 to the power of 1\/3, to the nearest integer?\nAnswer: 999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/(-4) + 7\/2. Suppose n*l - l = 0. Suppose -h + 2*h + x = 27, -4*h + 4*x + 68 = l. Solve -2 = 2*m - 3*y, -2*m - h = m + 5*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.008 and 0.378 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 12388883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 22*n**2 - 6*n + 7. Give y(1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -140 + 232 + (-2 - 16) + 5\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -1148, -1147, -1146, -1145, -1144?\n\"Answer: w - 1149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 98, 59, 20, -19, -58?\n\"Answer: -39*m + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 76 = 4*g, 2*q - 5*g - 1 = -5. What is the least common multiple of 1*9 - 12\/q and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -58*d**2 - 5*d. Let o = 13393 - 13398. Let z(g) = -1219*g**2 - 106*g. Give o*z(c) + 106*r(c).\nAnswer: -53*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*g**3 + 5866 - 3*g**3 + 5860 - 11726.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -42 + 180. What is the common denominator of 46\/3 and 3 + (-7)\/(63\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7952 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-80)\/(-48)*18\/15. Solve j*z = -3*p + 2 - 4, -z - 1 = -2*p for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (11 - (-9 - (-19 - 3))) + -7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 69 divide 57822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 5) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:50 AM and 4:38 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000386 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-5*4*(sqrt(176) + sqrt(176)*-2))**2.\nAnswer: 211200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.01051337?  (a) -4  (b) 0  (c) -1  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.818857 years in months?\nAnswer: 9.826284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*w - 4*u - 17, -w - 2*u = 3*u + 24. Let l be 30\/4 + w\/(-2). Suppose -7*r + 2*r + 23 = 3*d, -2*r = -d - l. Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1213003 - 323132?\nAnswer: 334321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5\/(-99))\/((56\/(-70))\/2*675\/(-324))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c**3 - 3*c**2 - 2. Suppose 0*l + 12 = -g - l, -3*l = -g + 8. Let t = 3 + g. Let f be t - 5\/((-10)\/4). What is p(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23182349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2025.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 842423123.\nAnswer: 101, 1613, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1316 divided by 329.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 7*z**4 - 2*z**2 - 16*z. Let h(t) = 27*t**4 - 9*t**2 - 64*t. Let i(j) = 2*h(j) - 9*o(j). Find the second derivative of i(w) wrt w.\nAnswer: -108*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -4 + 1 - (-7 + 1) - -121. Let s = r + -26. Calculate the highest common divisor of s and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1463.\nAnswer: 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that c**5\/6 + 1573*c**4\/6 - 43091*c**3\/6 + 174427*c**2\/6 + 21545*c\/3 - 88000\/3 = 0.\nAnswer: -1600, -1, 1, 5, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z + 11. Let l be 18\/(-108) + (-92)\/24. What is v(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4\/7, -48, 1\/7, 4, 4\/3, -39 in increasing order.\nAnswer: -48, -39, -4\/7, 1\/7, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21060884 divided by -172.\nAnswer: 122447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -6a (base 15) to base 14.\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/((f*f**(-7)\/f*f*f*f)\/f)*f*f**(1\/2))\/(f*f\/f**(-2\/3)*f)**(3\/7)*(f**3*f**(-4))**(-4\/5) assuming f is positive.\nAnswer: f**(471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1069 - -1062. What is the closest to 0 in -1\/7, i, 1, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 i and 1 a when four letters picked without replacement from {i: 15, a: 3}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3186*u = 3204*u - 18. Suppose q - 12 = 5*s, 2*q = -0*s - 4*s - 4. Let a(r) = r - 1. Let m(v) = 4. Give s*a(f) + u*m(f).\nAnswer: -2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1159 = -10*t + 379. Let j = t + 204. Suppose -j = -7*c + 938. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 <= 34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put together 476399.928 and 2.\nAnswer: 476401.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 66951312 to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) be the first derivative of t - 2\/3*t**3 - 1 - 2*t**2. Calculate a(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1699695163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 418 minutes after 8:05 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.534368231 rounded to 5 decimal places?\nAnswer: -2.53437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -21 - -3013?\nAnswer: 2332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 1, 139022 in ascending order.\nAnswer: 1, 4, 139022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from hnqlhqkqfhnh?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u - 29 = -u. Suppose 5*g + 4 = u. Suppose g*c = -2*q + 24, -7*q + 2*q - 2*c = -39. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -33*(-12)\/(-45)*5. Let r be 14 - 17 - (t - (-2)\/1). Find the second derivative of 20*k**3 + r*k + 0 + 0 - 49*k wrt k.\nAnswer: 120*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyyyy. What is prob of picking 3 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -26\/3  (b) 0.2  (c) -366  (d) 0.4  (e) 2  (f) -4  (g) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 112.1987 and -5.\nAnswer: -560.9935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 932*b + 97626 = 931*b, 0 = -3*t - 5*b + 73254. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*v**3 - 2*v**3 + 6*v**3 + 2 to c*v**3 + i*v + z + p*v**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 203232*a**2 - 6326562 with respect to a.\nAnswer: 406464*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 705*z**3 + 709*z**3 + 702*z**3 - 2120*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ammmaaamaamma. Give prob of picking 2 a and 1 m.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 64 = -j. Let k = -685 - -2495. Suppose k = j*r - 30*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 3*x**2 + 21*x + 102. Calculate q(0).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2527 and 266.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of 0*m**2 - 1\/3*m**3 + 0 + 0*m**5 + 0*m**4 + m - 1\/10*m**6. What is the second derivative of f(j) wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/1029 and 32\/63.\nAnswer: 3087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 25\/2 - 13. Let f(y) = y**3 + 4*y**2 - 6*y - 1. Let o be f(-5). Suppose -q + 8 = o. Which is smaller: j or q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppcompmmkk. What is prob of picking 2 k and 2 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -l**4 - 211*l**3 + 1774*l?\nAnswer: -12*l**2 - 1266*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -15 - -8.9. Let d = 0.9 - t. Let s = d + -3. Sort 4\/7, s, 2 in ascending order.\nAnswer: 4\/7, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -15*h - 3. Let s(m) = -30*m - 5. Let f = 10 + -5. Let d(c) = f*w(c) - 3*s(c). Let a be d(1). What is the greatest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 219 and 21388197?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 22 - 191. What is the smallest common multiple of 26 and h\/7 - (-7)\/(-49)?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -28*(125001\/(-798))\/43.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**5\/3 - 14*o**4\/3 - 185*o**3 - 4000*o**2\/3 - 8500*o\/3 = 0. Calculate o.\nAnswer: -10, -5, 0, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 10608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 0 + -230535126?\nAnswer: -230535126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 34*a**3 + 14*a**2 + 20. Let g(p) = -11*p**3 - 5*p**2 - 7. Let y(r) = -17*g(r) - 6*n(r). Suppose b + 4*s - 19 = 8*b, -4 = b - s. What is y(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 56595795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*d = -3*h + 32, h - 10*d = 23 + 31 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + -13 + 39 + 1.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/8)\/(-9*(-13)\/(-234))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**2 + 40*c + 214. Let v be a(-6). Solve 8*f - v*f = 3*d + 8, -5 = 5*d - 5*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -100 + 1102120001000112?\nAnswer: 1102120001000012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f - 110 = -6. Let s = -70 + 106. Let l = f + s. What is the remainder when 28 is divided by l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-33*q + 53*q - 91*q)*(2*q**3 - q**3 + q**2 - 2*q**3) + (0*q**3 + 0*q**3 - q**3)*(-1 - 2*q + 1).\nAnswer: 73*q**4 - 71*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-20)\/15 - (-130)\/3. Is (8 - 7)*l\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8 + 1 + ((-6264)\/1160)\/(-2 - (-62)\/50).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3424\/(-1760) - 231\/(-165).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 4093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0646 - 0.1646. Which is the nearest to h?  (a) 0  (b) 2  (c) 2\/5  (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (23\/5 + -4)\/(12\/(-15))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4283 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/3  (b) -1\/2  (c) 0.3  (d) 47  (e) 2\/43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3085 is divided by 469.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 21904\/44 - 1*((-18)\/33)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -2*h + 18. Let r be i(8). Let j be (1 + -2 - 1) + r. Suppose -n + j*n = -8. Calculate the smallest common multiple of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or 75\/4114?\nAnswer: 75\/4114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 15064 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 77 + -77. Suppose -41 = -y + 3*d, -76 = -2*y + 4*d - l*d. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -180645500 to the nearest 100000.\nAnswer: -180600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 + 5 = 4*r. Sort -1, r, -3, -4 in decreasing order.\nAnswer: r, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34081.\nAnswer: 173, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4297 + 3677. Is -623 at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 685+2693145069\nAnswer: 2693145754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-13 - -12) + -3 + 16 - 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 522165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -v**4\/4 + 95*v**3\/4 + 393*v**2\/4 + 297*v\/4.\nAnswer: -v*(v - 99)*(v + 1)*(v + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1.1 + 4.18. Let o = -0.08 + g. Let n = 154.8 + -154.4. Sort o, n, -2\/13 in descending order.\nAnswer: o, n, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -20017 - -20013. Let n(h) = 15*h**2 + 7*h. Let q(v) be the third derivative of 7*v**5\/60 + v**4\/6 - 3*v**2. Calculate l*n(k) + 7*q(k).\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.4 and -3392?\nAnswer: 3391.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 23 - 16. Suppose -c*a + 4*j = -11*a + 240012, -j = 4*a - 240003. What is a rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 44*m + 9*m - m**4 - 1 - 4*m as k*m**4 + n*m**2 + r*m + g + o*m**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5d84 (base 16) to base 3.\nAnswer: -1012211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 268*h**2 + 148*h + 450. What is m(-3)?\nAnswer: 2418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r\/r**(1\/3)*r**(-5)\/r*r\/r**(2\/3)*r**5*r**(1\/3)\/(r*r*(r*r*r**(2\/7)\/r)\/r)*(r**1\/r)\/r**(1\/5) assuming r is positive.\nAnswer: r**(-226\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 - 4)*(-75*o**3 + 25*o**4 + 75*o**3) + o**4 + o**4 - 6*o**4 in the form g*o + u*o**2 + b*o**4 + c*o**3 + k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -11516, -11397, -11140, -10739, -10188, -9481, -8612, -7575?\n\"Answer: m**3 + 63*m**2 - 77*m - 11503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 17203198315914 less than -10?\nAnswer: -17203198315924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 234 is divided by 70?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (-63)\/171*222\/259?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 50602 + -5\nAnswer: 50597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.5 + 0.2. Let p = -67 + 66.7. Let i = s - p. Which is the biggest value?  (a) 2  (b) i  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3560085 to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 8205\/(-570) - -16 - 3\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/5  (b) 4  (c) 2\/213  (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 4387978489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -23560*s + 23560*s + 2*s**3 + 5 + (-2*s + s + 0*s)*(-2*s**2 + 6*s**2 - 2*s**2) + 0*s**3 - s**3 - s**3 + 15*s - 15*s + 8*s**3.\nAnswer: 6*s**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 3861 divided by -40958?\nAnswer: -3861\/40958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 185038128 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -3*s**3 + 54*s**2 - 288*s + 480 = 0.\nAnswer: 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/36*-12)\/(20\/(-1320)).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e, 1 z, 1 t, and 1 k when four letters picked without replacement from {r: 11, e: 1, z: 1, v: 2, k: 1, t: 2}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 92, 0, 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 4:47 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -u, l - 3*l = -3*u - 78. Calculate the remainder when 129 is divided by l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a + 5935 = 5*c - 24000, a + 4*a = 0. Does 118 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -97902  (b) 0.1  (c) 772\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-95)\/((-9595)\/(-303)))\/((-3)\/5)*(-2)\/8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1.2 - 0.57. Let z = o + -2.33. Let p = -2.3 + z. Which is the closest to -1?  (a) p  (b) 6  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 488, -1, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from ookkookocwoockkooc.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 74943*i - 9432*i + 11183*i.\nAnswer: 76694*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -17 + 19. Suppose 3*r - n*r - 2 = 0. Let m be (r + -670002)\/(5\/250). What is m rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*d = -17*d - 2, 3*c = -3*d + 19167. What is c rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**2 + 7*t - 6. Let a be g(5). Suppose -a*m - 5 = 4*z - 77, 0 = 3*z - 9. Suppose -m = -2*l + 5. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 670707 and 670706 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**3 + 21*z**2 + 37*z - 22. Determine f(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.18 - -1864.578.\nAnswer: 1864.758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2246*h - 224336 = -1760*h for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -120 - -118. Let z be (4\/(-6))\/s - 117\/27. Put z, -1, -3, 4 in decreasing order.\nAnswer: 4, -1, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13696379113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*6*(sqrt(15)\/sqrt(3) - sqrt(5)))**2 + (1 + sqrt(5))*1 + 2.\nAnswer: sqrt(5) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24539 is divided by 1433.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-20 + 5) - (-18 + 0 + 3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jjn. Give prob of picking 2 n and 1 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v - i = -14, i = 3*v - 0*v - 46. Let f = v + -14. Let o(j) be the third derivative of j**4\/4 + j**3\/6 - 2*j**2. What is o(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.6 in 51, -0.1, 1\/4, 4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 2086 and 14602?\nAnswer: 14602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3*(2 + -1) - (-24893 + -10). Round j to the nearest 1000.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 5146 and -8018136.\nAnswer: -8012990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 176 = -2*j + 3*r, 3*r = 0. What is the smallest common multiple of 2\/(-13) + 205\/65 + 3 and j?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (10\/14)\/((-3)\/(-27) + 305\/(-315))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in 5, 0.5, 4\/3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 411820 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: Calculate 1 - 14 - -2 - (-126 - -58 - -79).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8997064 is divided by 4498530.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -63588 by 639.\nAnswer: -21196\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 272907 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*j + 598 = -2*v - 9*j, 281 = -v + 4*j. Let f = -280 - v. Solve -3*n - 4 = 2*n + 3*l, 4*n - 3*l - f = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - (3 - (5 - (-2 + 5 + -4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11807\/18 + -661. Let x = 9762 - 5532. Let q = x - 101569\/24. Calculate the common denominator of q and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-13)\/(-13)*-7 - -9*1. Solve -3 = 3*w - 4*j + j, -4*j - 20 = g*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -163546 + 7?\nAnswer: -16353c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26956?\nAnswer: 2, 23, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 925*x - 3. Is q(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18199291 rounded to four dps?\nAnswer: 0.182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 34 + -5. Suppose 31*c = g*c + 62. Differentiate 18 - 5 + 24 + c*y - 12 with respect to y.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2656591 is divided by 863.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p + 17 = -3*h + 5, 13 = 6*p - 5*h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 0 + 8 + -10 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the second derivative of h**4\/4 - h**3\/3 - 5*h**2\/2 - h. Suppose -14*l = -4*l - 40. What is the remainder when t(l) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 564064.\nAnswer: 2, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -v - 2. Let y be a(-8). Let u = -3 + y. Suppose 4*b = -u*m + 229, 5*m - 4*b - 420 = -3*b. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 171 and 196513569.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 835 and 35.\nAnswer: 5845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3 + 6 - 21*y - 9 to g*y + j and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 351 + 661*f + 412*f + 583 wrt f?\nAnswer: 1073","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -2*x + 3*x. Suppose -x*v + 20 = 5. Calculate the remainder when ((-4)\/6)\/(8\/(-156)) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = f + 2 + 1. Let j = 3 - -4. Let z = -12 + j. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14602 (base 7) to base 6.\nAnswer: 30501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 34 - 1 - (-14 - -17). Calculate the greatest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q = 7 + 11. Let o be q\/6 + 1\/2. What is the second derivative of f**o - f + 3*f - 3*f**2 + f wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 4*n + 9, n = -3*n + 4*c + 12. Let p = -14 - -26. Solve -4*q = -n + p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2\/11*z + 2\/11 + 2\/11*z**5 - 4\/11*z**3 - 4\/11*z**2 + 2\/11*z**4 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14 + -8. Let u(w) = -w**3 + 6*w**2 + 4*w + 4. Let g be u(q). Suppose j + g = 5*j. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1257420 and 2280?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.04 + -3.04. Let s = 0.37 + -0.07. What is the nearest to -1 in y, -5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1496.5 + 937.15. Let y = 540 + g. Round y to the nearest integer.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in 10\/13*o**2 + 2\/13*o**4 + 48\/13*o - 12\/13*o**3 - 72\/13 = 0?\nAnswer: -2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -3*m**2 - 99*m + 124. What is u(-34)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -140 divided by 4\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -7 + 15\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/(-4))\/((-4)\/(-3)*14\/448)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 8432006 = -4*k, -3165795 = 2*k + 5*y + 1050220. What is k rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6529, 5, 1711, -2\/9, 0.2 in descending order.\nAnswer: 6529, 1711, 5, 0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5, -4, -0.607?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-36 - (-30 - 3)) + (15 - (0 - 0))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 32338 + -32337.4. What is the nearest to g in -0.6, 0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(1088) - sqrt(1088)*-1*-4) + -2)**2.\nAnswer: 384*sqrt(17) + 156676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 140226744 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 4*b + 412, -286 = -4*p + 3*b + 147. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(162) + sqrt(162)*-1)**2*-2 + ((sqrt(140)\/sqrt(5))\/sqrt(2))\/(sqrt(7) + sqrt(42)\/sqrt(6)*-4).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -15 + 33?\nAnswer: 1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -p**2 + 26*p + 21. What is the tens digit of q(26)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88223 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 31357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 + 0 + (-78 - -74).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*z + 161*z - 9936 = -129*z for z.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 - 3)\/(-1 - 2). Let d be -2 + (0 - -3) + p. Does 16 divide d + (31 - 1) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/7*(-1778)\/635.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1049765\/81 + 12960. Let h = 5 + -4. Which is greater: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((4 + 1*sqrt(931))*2)**2.\nAnswer: 224*sqrt(19) + 3783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + 0 + (sqrt(832) - -2*sqrt(832)).\nAnswer: -4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -21 times -1.7\nAnswer: 35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w**2 - 187708512*w - 4404310684656768 = 0.\nAnswer: -46927128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.747 rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 145 = -2*y - 987, 3*x = 2*y + 874. What is the common denominator of 4\/(-18) - y\/90 and -27\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 32 = 2*i. Let m be i\/63 - (-10)\/(-45). Let q = 1.5 + -1. Which is the closest to m?  (a) -3\/7  (b) q  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -26 + 53\/2. Which is the closest to 4?  (a) z  (b) 2\/19  (c) -0.1  (d) 5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 592 - 2*m + 77*m**4 - 2*m**3 + 596 - 1758*m**4 - 1186 in the form u*m**3 + s*m**4 + t*m + n + b*m**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -104, -131, -158, -185?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (3\/6)\/((-4)\/64). Let u(x) = x**3 + 9*x**2 + 6*x - 5. What is the remainder when 19 is divided by u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 35*f + 1920. What is the remainder when 211 is divided by j(-52)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 0*c = 6. Suppose -c = -2*d + 3*d. Let h(q) = -2*q**2 - 2*q. Let r be h(d). Put 2, -1, r in descending order.\nAnswer: 2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(1512) + sqrt(42) - sqrt(168)\/(sqrt(44)\/sqrt(11)))\/(4*((sqrt(60)\/sqrt(5))\/sqrt(2) - 4*sqrt(6)*2)).\nAnswer: 6*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 104 or 16422\/157?\nAnswer: 104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-6)\/9)\/(2\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -107168 at least as big as -107101?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 7 - 3. Suppose 5*a = n*u + 4*a - 12, u + 2*a = -6. What is the tens digit of u\/6 - (-236)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 2*c - 102. Suppose 0 = -87*s + 81*s + 36. What is the smallest common multiple of s and c?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00010609 rounded to 6 decimal places?\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 249, 350, 449, 546, 641, 734, 825?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 53\/16 and -13\/1136394?\nAnswer: 9091152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l + l - 4*g = 16, 3*g + 12 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 59350761 is divided by 346.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38*q + 4283 = -36*q + 3987 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) be the first derivative of -3*g**4\/4 + g**3\/3 + 2087*g - 2884. Find the first derivative of s(z) wrt z.\nAnswer: -9*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 4 = 0, -b - 1638823 + 1638869 = 11*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**1\/(n**(6\/7)\/n)*(n**(-1\/5)\/n)**37 assuming n is positive.\nAnswer: n**(-1514\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 14912.\nAnswer: 14912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -338158352 divided by 532?\nAnswer: -635636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -17, -4, 9, 25, -2, 109 in decreasing order.\nAnswer: 109, 25, 9, -2, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*a**2 - 4*a**3 + 45*a + 63*a - 29*a + 7*a**2 + 5*a**3 to the form d*a**3 + i*a + k*a**2 + b and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 570 = 3*g, 0 = -4*g + 6*g - 3*p - 355. Let n = 361 - g. Suppose 0*q + n = 4*q. Calculate the lowest common multiple of q and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-14)\/112)\/(((-2)\/16)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1273659104?\nAnswer: 2, 257, 154871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -7*s**3 + 2*s**2 - s. Let l be q(1). Let v(o) be the third derivative of o**6\/120 + o**5\/10 + o**4\/12 + 5*o**3\/6 + o**2. Calculate v(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 5\/(-20) - 66\/(-8). Suppose 0 = -3*u + u + i, u = -2*a + 30. Let s = a - 16. Are s and -3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 equal to 44710\/7197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -172, -175, -178, -181, -184, -187?\n\"Answer: -3*g - 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, u: 4, k: 8}. What is prob of sequence uu?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*g + 8*g - 15 = 0. Let h be 2\/g + (-265)\/(-15). What is the highest common divisor of h and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44\/8*(-33)\/363?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (-28 + 28 - (3 + -3))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 279?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-25)\/55)\/5*11653\/(-562). Let h = 6\/281 - b. Find the common denominator of h and (-83)\/20 - (1 - 0).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.016, -1\/2, -4, 0.4 in ascending order.\nAnswer: -4, -1\/2, 0.016, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/3)\/4*-35*55\/(-550).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -35*h - 135. Let k be i(-8). Is k at most 144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 35 divided by 981.\nAnswer: 35\/981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 4:57 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 16875 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -44, -7 in descending order.\nAnswer: 0, -7, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 184 minus 1.45?\nAnswer: 182.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(6)*1*4*-6)\/(2*1*sqrt(300) - (sqrt(300)*1 - sqrt(300))*3).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -3064250 (base 9) to base 2\nAnswer: -110001111100111001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (7 + 2 + 0)*(a - 7*a**2 - a)*(0 - 2 + 0) as q*a**2 + i + y*a and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4 <= 2\/2217765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5746.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -f**3 + 16*f**2 - 53*f + 6. Determine v(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1546746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-12)\/(-4))\/(6\/4). Let a(f) = -2 + 1 + 2 + z*f**2 + 0 + 5*f. Let s(p) = p**2 + 2*p. What is -2*a(t) + 5*s(t)?\nAnswer: t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1843, 1726, 1621, 1534, 1471, 1438, 1441?\n\"Answer: t**3 - 124*t + 1966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:45 PM and 5:15 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14785?\nAnswer: 5, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/11 + 1 + (-45 - (-52290)\/990)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 89744\/1207 + -74 + (-4761)\/51.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -502809963*v**3 - 228631802*v**2 wrt v?\nAnswer: -3016859778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t + 0*t + 3*t)*(0 + 2 - 4) - 2 + 2*t + 2 - 3*t + 4*t + t + 3*t + 0*t - 7*t - 1 + 1 - 2*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -184*i - 184*i - 24 = -371*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1608767 to the nearest ten thousand.\nAnswer: 1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -152286390.08 + -0.0458?\nAnswer: -152286390.1258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 429052 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.4 or -634?\nAnswer: -634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from htvthhaaamtmvvtvmhh. What is prob of picking 1 a and 1 h?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 32\/(-3)*(-18)\/8*339\/(-452)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-210)\/420 + 2*(-1)\/(-1 + 0). Which is the third biggest value?  (a) y  (b) -992  (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.6 - 0. Is f != -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -7*j + 5. Suppose 6*q + 5 = -3*f + 4*q, 2*q + 1 = f. Let p be f\/(3\/24*j). Let y(v) = -v**2 - 7*v - 6. What is y(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in -13, -6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3*24\/2052*(-6)\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(0 + sqrt(187)\/(sqrt(44)\/sqrt(4)*-1)).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kgjb when four letters picked without replacement from jjgbbgjkgo.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -193*x**3 - x + 3*x - 3 + 201*x**3 to u*x**2 + z + j*x**3 + q*x and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5\/6  (b) 76  (c) 1\/24  (d) 476\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1372) - (sqrt(1372) - (sqrt(1372) + -1*sqrt(1372)))*-5)\/(-3*sqrt(144)*5 + sqrt(144)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) be the second derivative of a**5\/60 - 3*a**2 - 5*a. Let o(h) be the first derivative of y(h). Factor o(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 28802 - 28799. Sort 17, -5, g, -2, -20 in decreasing order.\nAnswer: 17, g, -2, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6099302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02 from -33661.\nAnswer: -33661.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 153493*-0.34.\nAnswer: -52187.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6 - 10 + 31 + 2*n**2 + 10 to v + z*n + d*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -2*b**3 - 3*b**2 - b - 1. Let t(h) = -2*h**3 - 4*h**2 - 2*h - 1. Give 3*t(l) - 4*z(l).\nAnswer: 2*l**3 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271*i = 399*i - 36*i - 82*i + 43608 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 < -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) be the second derivative of y**5\/60 - y**4\/3 - y**3 - 9*y**2\/2 - 12*y. Let k(l) be the first derivative of o(l). Determine k(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -157554 and 2814.\nAnswer: -154740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 139322808 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 45\/2 of a year?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 5 = -7. Let y be g + 0 - 10\/1. Let z = y + 18. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**2\/a*a)**25)**22*((a*a*a\/(((a**4*a)\/a)\/a)*a)\/(a*a**(-2\/3)))**8 assuming a is positive.\nAnswer: a**(3316\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 70 + 0 + (-1 - (-3 + 2 + 3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 49182 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2462, -4\/7, -4 in descending order.\nAnswer: 2462, 0, -4\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Are -108 and -3\/919 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (55 + 51 - 35)*(n + 6*n - 5*n) in the form d*n + h and give d.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 250 (base 10) to base 7\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ghhh when four letters picked without replacement from dgmhhhhdh.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1198*l + 925*l + 50560 - 14469 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) -2\/7  (c) -627  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12\/5, 6, 2\/5, -14 in decreasing order.\nAnswer: 6, 12\/5, 2\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2466 and 15.\nAnswer: -36990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + (6 + -2 - 7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 553833 and 1307971?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mtttssstssstsmmsssm. Give prob of picking 2 m and 2 s.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**2. Let o(z) = -769 + 769 + 236*z. Determine o(r(v)).\nAnswer: 472*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 47566 - -1500. Is 20 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -32 divided by 1699\nAnswer: -32\/1699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) be the third derivative of s**8\/960 - s**5\/20 + 5*s**4\/2 - 84*s**2. Let j(c) be the second derivative of u(c). Let a(z) = -1. Calculate 6*a(i) - j(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**5*c**5)\/(c**(2\/5))**(-7))**(-16) assuming c is positive.\nAnswer: c**(-1024\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 - 20 = -6*g. Suppose x + 2*d = 5*x - 2, g*x + d - 14 = 0. Let k = 513\/5 + -103. What is the closest to k in 0.5, -2, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -2*k - 7. Suppose 0 = -0*r + r + 4. Let u = 4 + -11. Let f(l) = 19 + 19 - 49 + 15 + l. Give r*z(v) + u*f(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 + -4. Suppose 5*s = 2*z - 50, 0 = -2*z - t*z + 4*s + 48. Suppose z = -5*q, -4*q - 12 = -3*a - a. Which is greater: a or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o - 3*o + 5 = 0. Suppose -4*x + x - 158 = -o*v, 3*x - 114 = -3*v. Let j(l) = -8*l + 1. Let n be j(-2). What is the greatest common divisor of v and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange z - 3*z**4 - 3253*z**3 - 2*z**2 + 3253*z**3 to q*z + h*z**3 + i*z**4 + x + w*z**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16 or 54\/7?\nAnswer: 54\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*i + 19*i**2 - 13*i**2 + 5*i - 17*i**2 to the form c + g*i + j*i**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2841 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.18 + 0.08. Which is the second biggest value?  (a) 4  (b) 0  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9810945*-5\nAnswer: 49054725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -114 + 119. Let f(l) = l + 10. What is the remainder when f(7) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 575 and 311882185.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the first derivative of 119 - 3*h - 7\/2*h**2 - 1\/3*h**3. Determine n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4568794.2ms in days?\nAnswer: 0.0528795625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 (base 10) in base 16?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/15, -222.3, -47, 0?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6 + 8. Let s(z) = -1 + 1 + 2 - l*z - 2*z. Let t(v) = 7*v - 4. Let x = 3 - 8. Give x*s(y) - 3*t(y).\nAnswer: -y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the second derivative of -185*g**4\/12 - g**3 - 2*g**2 + 6*g. Let n be c(6). Round n to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -33629000 to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 163703*j*y**2 - 16*j*y + 2*j + 987*y wrt y.\nAnswer: 327406*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -98924, -196603, -294278, -391949, -489616, -587279?\nAnswer: -684938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 11 + -6. Suppose -2*k - 2*k + 4*j = -28, -4*k - 2*j = -10. Suppose 4*m - 27 = -f, -f + 85 = k*f - 5*m. Calculate the remainder when f is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = w**2 - 6*w + 1. Let b be x(5). Let k(p) = -p**2 + 14*p - 5. Let n be k(14). Let c(u) = u + 7. Let j be c(-5). Sort j, b, n.\nAnswer: n, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:50 AM and 4:14 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qvxq. What is prob of picking 2 q and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (10\/(-40))\/(5\/(-8)). Suppose -5*t + 54 = 9. Let v be 4\/(-18) + 2\/t. What is the third smallest value in s, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4, -42, -124, -242, -396, -586?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, z: 11}. What is prob of picking 1 h and 1 z?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4255?\nAnswer: 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -216  (c) 8\/41  (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 85459, 85462, 85465?\n\"Answer: 3*h + 85456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/2, 8, -345 in increasing order.\nAnswer: -345, -3\/2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m**2 - 2*m + 2*m)*(-5 + 5 + 3) + 0*m**2 + 2*m**2 - 3*m**2 - 34*m**2 + 38*m**2 - 25*m**2.\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + 29528\/1072 + (-21)\/6?\nAnswer: 3\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 5*m**4 + 300695*m**3 + 6027932430*m**2 + 40282662918420*m + 40276635286680 = 0.\nAnswer: -20046, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -183 - -1461\/8. Let q = -0.04 - -0.34. What is the second biggest value in -4, d, q?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2031*q**4 - 22*q**3 - 227709 wrt q?\nAnswer: -8124*q**3 - 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55, -2, 53, 110?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8)\/64*-5 + 1375\/4840?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12 - 7 + 11094*n - 9 + 28.\nAnswer: 11094*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j = 3*x + 1, -3*x - 2*x + 25 = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 0 + -6 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8031 = -42*c + 45*c - 3*g, -8061 = -3*c - 3*g. Is 18 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wgwg when four letters picked without replacement from {n: 5, w: 9, g: 2}?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-708)\/(-25))\/(-2) + 23814\/1701.\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x - 2*y = -52, -3*x = y + 2*y - 165. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/10 of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -44*(426\/2840)\/(11\/(-165)).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 29366 - 18422. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*k = 70, 3*l + 5*k = 2*l - 5. Let h(m) = -20 + 32 - 15 - 10 - 5*m. List the prime factors of h(l).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -5*z**2 + 14*z - 14. Let v(a) = -2*a**2 + 7*a - 7. Let m(o) = 4*n(o) - 9*v(o). Let j be m(-5). Is j greater than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -9*t**3 - 213*t**2 - 17*t - 76. Let a(b) = 4*b**3 + 98*b**2 + 8*b + 38. Determine -13*a(d) - 6*o(d).\nAnswer: 2*d**3 + 4*d**2 - 2*d - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1030105 + -2056?\nAnswer: -1032164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-25 + 30 + 10)*((0 + 0 - j)*(2 + 3 - 4) - j + 0*j + 0*j) - 5 + 5 - 2*j to c + y*j and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 times 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3\/8)\/b**9)\/(b**(2\/13)*b\/b**(-2)*b))**(9\/4) assuming b is positive.\nAnswer: b**(-12663\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/(-21)*-3*2*21\/(-12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 153 and 18972?\nAnswer: 18972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 68080 is divided by 9724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 161577 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:00 PM and 3:34 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1258, -1489, -1722, -1957, -2194?\nAnswer: -2433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -2*q**3 - 122*q**2 - 2*q - 118. Let n(w) = 8*w**3 + 488*w**2 + 9*w + 470. Let v(f) = 2*n(f) + 9*o(f). Find the first derivative of v(y) wrt y.\nAnswer: -6*y**2 - 244*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = 44*o - 139. Is 43 a factor of a(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 14*h**2 + 12*h - 18. Let o be n(3). What is the greatest common divisor of 192 and o?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4\/1519 - 62147\/50127. What is the common denominator of -83\/102 and u?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor d**3 + 527*d**2 - 150529*d + 8851345.\nAnswer: (d - 109)**2*(d + 745)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 5104844451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 14 = -3. Suppose 2*f + 261 - 349 = 0. Calculate the remainder when f is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 29 by -47.\nAnswer: -29\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 + 61\/(-7) - -5.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 27 = 2*d. Let g = -19 - d. What are the prime factors of g*(-1)\/((-5)\/(-3))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o**2 + 7*o**2 + 4*o**2 + (2*o + o - 4*o)*(-o - 2*o + 5*o).\nAnswer: 11*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in three tenths of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9317.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*j**2 - 13376*j - 527748 = 0. What is j?\nAnswer: -39, 3383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 8 = -4*n, -3*k - 15 = -2*n + n. Let y be 6\/n + (2 - -1). Solve -2*z = 3*z - y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-12199)\/55 + (-36)\/(-45). Are w and -230 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*o + 77 = o, 5*j + 3*o - 389 = 0. Calculate the remainder when j is divided by 65.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6438 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(605)\/sqrt(176))\/sqrt(11).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((-32)\/80)\/((-1)\/(-10))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3239619 meters to centimeters.\nAnswer: 32.39619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 7, 8, -40 in decreasing order.\nAnswer: 8, 7, 1, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 159*m - 38. Let s(l) = -161*l + 37. Let c(o) = -3*k(o) - 2*s(o). What is the tens digit of c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 26649 by -5.\nAnswer: -26649\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 45614 is divided by 557?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 5837439 equal to 29187191\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3859 divided by -17.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -6*(5 - 4683\/938). Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.49027 grams to tonnes.\nAnswer: 0.00007849027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h = -5*y - 6, -2*y - 2*y = 0. Suppose 0*c = h*c + 55322. Let d = 32339 - c. Round d to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -50*y + 24*y + 42*y. Let a be 8\/6*(-12)\/(-8). Let g(i) = -7*i + 10*i**a + 7*i - 9*i**2. Determine g(o(s)).\nAnswer: 256*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -3*y + 17. Suppose 0 = 3*i - 5*i + y. Solve 4*k = -r - 17, 5*r = i*k - 2 + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand a**3 - a**2 + a**2 + (-2*a**2 + 1 - 1)*(a + 8*a - 3*a) + 1 + 2*a**3 - 1 - 2*a**2 - 5*a**3 + 2*a**2.\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79988463.\nAnswer: 3, 31, 286697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**2 - 10*o - 21. Let q be t(-6). Let s be -1*(0\/7 - q). Which is bigger: s or 44\/21?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (2*-3859)\/(6\/9*6\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14838 is divided by 599.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -1174 divided by 2\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 25623, 26215, 27201, 28581, 30355, 32523, 35085?\n\"Answer: 197*s**2 + s + 25425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00113048 rounded to 4 dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -14292977.7 to the nearest 1000.\nAnswer: -14293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -30.6068 to zero decimal places.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**6\/40 + 3*l**4\/8 - l**3 - 13*l**2. Determine s so that p(s) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 29*l**4*s + 97*l**4 - 46*l**3*s - 34*l**3 - 181755105*l**2*s wrt l.\nAnswer: 696*l*s + 2328*l - 276*s - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 10) to base 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(108)*-1 + -4*((sqrt(108) - 2*sqrt(108)) + sqrt(108)) + 3 + 3.\nAnswer: -6*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6095)\/(-371) - (-2)\/(-21)*-6.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d**2 - 4*d**2 + 5*d**2)*(d**2 - d**2 + d**3) + 4*d**5 - 7 + 7.\nAnswer: 9*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2176.2 - -2192.2. Which is the fourth smallest value?  (a) l  (b) -3  (c) -54  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) be the second derivative of v**5\/180 + 5*v**4\/72 - 14*v**2 - 15*v. Let g(i) be the first derivative of j(i). Factor g(r).\nAnswer: r*(r + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, q: 2, d: 4, u: 2}. What is prob of picking 1 q and 2 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-1\/7))**(2\/11))**(-48)\/((s**5*s*s*s*s\/(s\/s**(-9))*s)\/(s**1)**5) assuming s is positive.\nAnswer: s**(481\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -13*s**2 - 184*s - 1081. Let q be z(-6). Is -432 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) be the first derivative of t**2 + 6*t - 2. Let g be i(-5). Let w = g + 12. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4887 - -4896. Let o(y) be the second derivative of y**5\/20 - 2*y**4\/3 - 5*y**3\/3 + 3*y**2\/2 + 9*y. What is o(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + -16 + 34 + 3 - (22 - 35).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 48  (b) 1\/84  (c) -0.4  (d) 0.4  (e) -3\/4  (f) 0.02\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*i - 781 + 4*i - 3066.\nAnswer: 2*i - 3847","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 114 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**2\/2 + 266499*c\/2 + 1065900.\nAnswer: 3*(c + 8)*(c + 88825)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = -7*o**3 - o**2 + 5*o - 5. Let w(x) be the third derivative of -x**6\/120 + x**4\/24 - x**3\/6 - 4*x**2. What is -a(m) + 5*w(m)?\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1342650577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 10 = -3*g, 3*b + 0*g + 6 = -g. Put -4, b, 0 in ascending order.\nAnswer: -4, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*v**2 + 61 + v - 112 + 51 to the form i*v + t*v**2 + a and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (-4 - 13) + 0 - -2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -215*l + 125. Is f(-3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 + -1. Let z(h) = -2 + j + 2*h - 7. Let c(d) be the third derivative of d**5\/30 - d**2. What is z(c(q))?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (9 - -7) + -8 + -10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 3\/490 and -111\/20.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -634, -650, -666, -682, -698?\nAnswer: -714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11256, -21739, -32176, -42561, -52888?\nAnswer: -63151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 420*g - 444. Let v be h(2). Calculate the greatest common factor of v and 2244.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74945 != 74517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 1321900 to the nearest 10000.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15.2374 + -180.6816. Let g = 196 + n. Let l = 0.681 - g. Sort l, 3, -5 in ascending order.\nAnswer: -5, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1054423757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + o + 0*o = 236783, -f + 118414 = 5*o. List the prime factors of (12\/22)\/(-3) + f\/341.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 <= -1\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llx when three letters picked without replacement from xxjjchhhhlhljjccjj.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = 1 - 13. Suppose 0 = 4*k - 15 + c. Solve 4*p = a - 20, -4*p - k*a - 1 - 19 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c740b (base 14) to base 3\nAnswer: 1220202120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -72*-2*(-20)\/160.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -15120 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -7 + 6*m - 2*m**2 + 2*m**2 + 2 - m**2. Let i be q(5). Solve -3*y + 4*d = -6, i = 5*y + 5*d + 16 + 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-3))**(-15))**(-2\/17)\/((l*l**1)\/((l**(2\/3)*l)\/l)*(l**0*l)**(-5\/3)) assuming l is positive.\nAnswer: l**(-253\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16822219 - 286*w**3 - 16822219 - 51*w**3.\nAnswer: -337*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 277008423?\nAnswer: 3, 41, 1471, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 29861313 to the power of 1\/2, to the nearest integer?\nAnswer: 5465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -18165, -36332, -54499?\nAnswer: -72666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-348)\/(-69) + 98\/(-2254)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*r**3 - 43766*r**2 + 393748*r - 349984 = 0 for r.\nAnswer: 1, 8, 21874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 - 105 = -4*l. Let m = 29 - l. Suppose m = -5*h + 2245 + 685. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (374\/(-935))\/(84\/(-15)).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -209 divided by -5110259\nAnswer: 1\/24451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -4*o. Let z be h(1). Suppose 10 + 5 = -3*d. Sort z, 5, d.\nAnswer: d, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1083 + 1930. Calculate the remainder when a is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 93764603 to the power of 1\/2, to the nearest integer?\nAnswer: 9683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = 150*i**2 + 9 + 145*i**2 - 304*i**2 + 3*i. Let p = -6 + 11. Let g(k) = 13*k**2 - 4*k - 13. Determine p*g(d) + 7*j(d).\nAnswer: 2*d**2 + d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1\/11))**(-23) assuming t is positive.\nAnswer: t**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v + 35. Let a(o) = o**3 - 25*o**2 + 48*o - 33. Let y be a(23). Let d be m(y). Is d greater than or equal to 144\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -13410*d**2*o*w - 3*d**2*o + 4*d*o - 30*d - 2*w wrt w?\nAnswer: -13410*d**2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (7428 - 7428 - 59*o)*(-1 - 3 + 3) as x + d*o and give d.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -5*k - 2*m - 43, -2*k - 28 = 4*m. Let x be 15\/(-3) - -2 - k. Let q be 5 - 2\/((-4)\/(-4)). Solve 7 + x = -q*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/i**(-1\/5))**(-1\/7)\/(i*(((i\/(i*i\/i**14))\/i)\/i)\/i)**(-6\/7) assuming i is positive.\nAnswer: i**(324\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) be the third derivative of j**5\/60 - 3*j**4\/8 - 17*j**3\/6 + j**2. Is k(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(22) + -1*sqrt(1782))\/sqrt(2).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.21 + 2.79. Which is the closest to 0.2?  (a) -1\/3  (b) 1  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 3*l = -8, 0*g - 28 = -2*g - 5*l. Let h be (628\/(-8))\/((-2)\/g). Suppose -8 - h = -5*f. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = 2*p - p. Suppose 4*n + 0*n = j - 96, -3*n + 170 = 2*j. What is the remainder when j is divided by p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -i**2 + i + 1. Let a(l) = -l**3 + 19*l**2 + 19*l + 22. Let j be a(20). Let z(x) = -25*x**2 + 7*x + 15. Let s(h) = j*b(h) - z(h). Is s(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-10)\/d)**(11\/4) assuming d is positive.\nAnswer: d**(-121\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97 = -2*p + 117, 3*y - 484*p + 4849 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 316, 322, 314, 286, 232, 146?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -7, 25, -2 in descending order.\nAnswer: 25, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, q: 1, a: 1, d: 1, b: 1, y: 1}. Give prob of picking 1 d, 1 q, and 1 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-24)\/(b*b\/(b*(b\/b**3)\/b*b))*b*b**28*b*b**(-28)*b assuming b is positive.\nAnswer: b**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 0.3, 4, -124, 1\/5, -189?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*l**2 + 19*l**2 - 4*l**2 + 9*l**2 + 5*l**2.\nAnswer: 26*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 158756393 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 3*k**2 + 4*k - 7. Let b be q(3). Let o = 0.08 - 0. Let f = 8.92 + o. Put 0.5, f, b in descending order.\nAnswer: f, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 150634 is divided by 1153.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 15, 13, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.7773 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 9*l - 8. Let p(g) = g**3 - 8*g**2 - g + 5. Let r be p(0). Let s(x) = -6*x - 40 + 44 + 2*x. Determine r*s(k) + 2*f(k).\nAnswer: -2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -39*b**3 - 19*b**2 + 11*b - 46. Is h(-13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 220274294 and 9073.\nAnswer: 9073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 541*g - 593*g = -364 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -2\/5  (b) -32  (c) -5  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:46 PM and 6:32 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 74428 to the power of 1\/2, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-13 - 1)*(-10)\/20. Let j(f) be the third derivative of 0*f**4 + 0*f**3 - 1\/120*f**5 + 0 + 3*f**2 + 0*f + 1\/840*f**a - 1\/480*f**6. Factor j(d).\nAnswer: d**2*(d - 2)*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -14300300 - 4?\nAnswer: -14300304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11599*x - 312 = 11560*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 25162.74ns?\nAnswer: 25.16274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (72\/(-2))\/(16\/(-56)*7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4915 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 10487628 divided by -4.\nAnswer: -2621907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1269 divided by 1269.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 34\/3731241 and 53\/42?\nAnswer: 52237374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*f + 35*f + 1470 - 235 = -1203 for f.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 - 3*x**2 - 6*x. Let c be -8*((-5)\/(-10) - 1). Suppose -8*a = -7*a + c. What are the prime factors of v(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4266.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = t - q - 4, 4*t + 645*q = 650*q + 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 181763385 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13241 is divided by 105.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/257 + -262\/1285. Let l = 11 - 10. What is the nearest to c in 4, l, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/4*160\/(-270)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, a: 6, l: 3, b: 1, d: 3, g: 1}. What is prob of sequence lddl?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6441838*d**3*t + 2*d**3 + 14455252*d**2*t + t wrt d.\nAnswer: 38651028*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -4\/93 + 299\/465. Which is the closest to -2\/7?  (a) -3  (b) o  (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 7 - 3*a - 4 + (-14 - 15 - 8)*(-a - a + 4*a))*(0*a + a + a).\nAnswer: -154*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1 + 13. Let s be (-47)\/(2*2\/(-8)). Suppose -2*h - k = -s. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 2*q**3 + 75*q**2 + 35*q - 64. Let g be m(-37). Let a be (3 + 11\/11)\/g. Factor -a*d**5 - 2*d**4 + 16\/5*d - 12\/5*d**3 + 0 + 8\/5*d**2.\nAnswer: -2*d*(d - 1)*(d + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -r**2 + 2*r - 3. Let t be d(4). Let j be t\/(-4) - 12\/16. Suppose -f + 4*b = -21, j*b = f - 0*b - 17. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 3:10 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6202142821 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -18 (base 12) to base 13\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/77, -0.2, -7, -318 in ascending order.\nAnswer: -318, -7, -0.2, -2\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*y + 50*o - 48*o - 18 = 0, -4*o = 2*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5 - 63. Let r be q\/60 - 1\/(-1). Let n = 15.5 - 16. Which is the third biggest value?  (a) n  (b) 4  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.9*-0.581.\nAnswer: -0.5229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1932 + -1924. Which is the closest to u?  (a) 3\/5  (b) -1.5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w - 2 = 10. Suppose 10 = 2*s + w*q - 0, s - 4*q = -7. Let l be (-2)\/5*1\/2. Is s at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from ppppppppppppppn.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 67\/44204 and 69\/14?\nAnswer: 309428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in three eighths of a week?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13*-0.1.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -34, 1\/35, 3, -2\/5, 55, 0 in descending order.\nAnswer: 55, 3, 1\/35, 0, -2\/5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4 * -212918.\nAnswer: 851672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*c + 2*c - 14*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -105 = -5*q + 5*v, 5*v - 138 = -5*q - 3. Let p be (-348)\/(-14) - 3\/(-21). Let c = p + -16. Calculate the remainder when q is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 16553*r**2 + 41 + 0 + 3*r - 16565*r**2 - r to the form d*r + m + c*r**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the third derivative of -q**4\/24 - q**3\/6 + 11*q**2. Determine r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -63.2 + 63.4. What is the third biggest value in c, 3, 1, 2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1526390?\nAnswer: 2, 5, 152639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -25810 + 3410. What is w rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -111\/22 and -107\/310840.\nAnswer: 3419240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -9, 56, 5, -10.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -f - 1. Let n be r(-4). Suppose -3*u + 44 = 2*q + 6, 0 = -3*q + n*u + 27. Calculate the remainder when 61 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 5*u - 2*u + 1. Let v be z(1). Suppose 3*w = -f - 3 - 9, 5*w + 20 = 0. Put f, -2, v in decreasing order.\nAnswer: f, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2057, 2, -96 in descending order.\nAnswer: 2, -96, -2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 5339*w - 213551. What is f(40)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1290727700 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -32707656, -65415312, -98122968, -130830624, -163538280?\n\"Answer: -32707656*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -2*n + 1. Let a be y(-3). Let c = 10 - a. Suppose c*f - 8937 = -92937. What is f rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**3 - 13*s**2 + 32*s + 54. Calculate the lowest common multiple of b(-15) and 81.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -4 - (18\/3 + 5941\/(-588)) and 41\/588?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -36 - -110. Let o = x + -79. Let z = -247 + 3209\/13. Which is the closest to 1?  (a) z  (b) o  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 14951*q - 493129. Give g(33).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -c**2 - 21*c. Calculate q(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the third derivative of -x**4\/12 + 243*x**2. Let w(c) = -2*c**2 + 44. Calculate s(w(d)).\nAnswer: 4*d**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 5*i + 2. Let j be n(4). Let g be (-3 - -4)\/((-2)\/j). Let v be 6\/(-8) - g\/4. Solve -v*d - 15 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -153736 * 0.5\nAnswer: -76868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -5 - 22*o**2 - 10*o - 2 - 9. Let x(l) = 7*l**2 + 3*l + 5. Calculate -16*x(i) - 5*y(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5294163 is divided by 907.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 45666353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*n**4 + n**3 + 742*n**2?\nAnswer: 720*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*u**3 + 144*u**4 - 855*u + 290*u**4 + 229*u - 432*u**4 to the form f + r*u + i*u**3 + k*u**2 + s*u**4 and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o - 3*s + 27 = 0, -30*o + 32*o + 2*s = 14 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1476\/7 - -210. Which is the second biggest value?  (a) w  (b) -6  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) 1\/3  (c) 0.3  (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -10a + -1?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 131712 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 6\/10801, -0.2, 1\/8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b**5\/7 + 93636*b**4\/7 + 655244*b**3\/7 - 280916*b**2\/7 - 2153040*b\/7 - 187216 = 0. Calculate b.\nAnswer: -23402, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 15*q + 4 = -19*q, -5*v - 2*q = -40. Suppose 4*s = -62 - v. Let g(r) = -12591*r - 47. Let l be g(s). Round l to the nearest ten thousand.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 81648 and 1328?\nAnswer: 6776784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 428068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (42201 + 3)*(-55)\/(-220). Which is smaller: 10549 or d?\nAnswer: 10549","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 10 + -233202123?\nAnswer: -233202113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = u**2 + 2*u + 127448. Let y be v(0). Let q = 44351867\/348 - y. What is the common denominator of -63\/5 and q?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-1 - -5)*-2. What is the third derivative of 7*k**3 + 7*k**y - k**3 - 2*k**6 - 6*k**3 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8964663.31 rounded to the nearest 10000?\nAnswer: 8960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52 - 5 = 7*m + 5 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**2 + 3*r + 1. Let j be m(0). What is the closest to j in -1\/3, 23, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**3 + 408*c**2 = 0. What is c?\nAnswer: 0, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-27 + 24 - -19) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2*n*u*z**2 - 3*n*u*z + n*z - 3*n + 462*u*z**2 + 35*u*z wrt z?\nAnswer: 4*n*u + 924*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 20 = -5*t, 0 = -133*t + 131*t - k - 8. Which is the closest to -0.1?  (a) 6  (b) 0  (c) 19  (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -11.359 + 27.359. What is the closest to p in -9\/5, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6639 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -7*t**2 - 8*t + 17. Let n(i) = 3*i**2 + 5*i - 10. Calculate 3*k(o) + 5*n(o).\nAnswer: -6*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25 = 5*p, 3*v + 3*p = -46 + 67. Let a(z) be the third derivative of z**5\/60 - z**4\/24 - z**3\/6 - z**2. Determine a(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.026 + -0.074. Let x = 0.9 - z. What is the third biggest value in -1, -3, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2395.5136 to one decimal place.\nAnswer: -2395.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 take away 0.163191252701?\nAnswer: -4.163191252701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uum when three letters picked without replacement from jqquauuqmajuuauj?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.44961 - 0.04961. Put 4, x, -2\/7, -13 in descending order.\nAnswer: 4, x, -2\/7, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 9*b. Let q(w) = -18*w. What is q(t(s))?\nAnswer: -162*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -547992150*z**3 + 46415559?\nAnswer: -1643976450*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 + -3 - 270\/10. Let f = 34 + w. Solve 3 + 2 = -f*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 52, 179, 392, 697, 1100?\nAnswer: 1607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -791 = 20*r - 4991. Let d = 651 - r. What is the remainder when d is divided by 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = 3*w + 5*j - 9, 12 = -3*j. Suppose l - w = 36. Let u = 193\/4 - l. Which is the second biggest value?  (a) -0.1  (b) 0.3  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -95\/998 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 46 - 47.2. Let r = u - 54.8. Let g = r + 56.069. What is g rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2768534861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -49974, -49969, -49964, -49959?\n\"Answer: 5*k - 49979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.46844283 rounded to three dps?\nAnswer: 1.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 1 n when two letters picked without replacement from {f: 3, n: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1933 + -391. Does 13 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 2*t - 6, 2*t - 6*t = -3*r + 14. Let u = r - -2. Solve k - 15 = u*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 95 + -92. Let y be 58 + -37 + 2*i. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 1, -5139, -0.1, -3\/2, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1439100, 2877055, 4315010, 5752965, 7190920?\nAnswer: 8628875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kikqqiqiiiqqqqfqqii. What is prob of picking 1 i and 1 f?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 32\/5 + 10\/(-25). Suppose -p = -2*x - 0. Suppose -x*h + 4 = 4*i - 5*h, 0 = 3*i + 2*h + 4. Put -5, i, 4 in descending order.\nAnswer: 4, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m + 514 = 535. Let x(w) be the first derivative of w**2\/2 - 4*w + 1. Calculate x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (23199\/(-22))\/19*10\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 = -2*k - 2*k - 3*r, 5*r = k - 28. Calculate the greatest common divisor of k and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/11 in -0.3, 117, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) -0.071  (c) 22  (d) -4712\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/(-2)*(3\/42)\/(110\/(-77))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - ec76b6?\nAnswer: -ec76b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 220.5567225 to 2 decimal places.\nAnswer: 220.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 12 = -x. Let d(m) be the second derivative of -m**5\/20 - m**4\/12 + m**3 + 7*m**2\/2 + 5*m. Calculate the remainder when 12 is divided by d(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: ((-21)\/2)\/((-207)\/8 + 373\/(18277\/1176))\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3 - 6. Is 26*w\/6*-3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 t, and 1 o when three letters picked without replacement from {q: 3, o: 3, t: 1, s: 6}?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 0, 162, -11, -4 in increasing order.\nAnswer: -11, -4, -2, 0, 1, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 + 8 = 4*m, -2*m = 4*h - 94. What is the second derivative of 21*z**3 + 28*z**3 - 2 + h*z**3 + 4 + 49*z wrt z?\nAnswer: 426*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - (-14)\/(-4)) + (-91)\/(-14). Suppose -s - 3*s = -5*g + 19, -2*g + n = s. Solve 0 = 3*k + 4*w - 6, -4*w = k + g*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.3 and -7.6981353?\nAnswer: 7.9981353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -607*w**2 + 8*w**3 + 607*w**2.\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -976, -7812, -26374, -62524, -122124, -211036, -335122?\nAnswer: -500244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -67  (b) -2\/7  (c) 0  (d) -4\/2485\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.117040972 to five dps.\nAnswer: 0.11704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 868 and 173064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -1005, -2253, -3955, -6339, -9633, -14065?\n\"Answer: -38*s**3 + s**2 - 985*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from csssgcssssgscccccs. What is prob of sequence sg?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 7*d + 11. Let m be l(-8). Suppose 0 = -m*q - 2*q. Suppose 2*r + 5*a - 38 = q, 3*r = -r - a + 58. Sort r, 0, 3 in descending order.\nAnswer: r, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -9\/5, -0.4, 0.2, 3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*x**3 + 1 + 4 - 1 + (-3*x + 5*x - x)*(2*x**2 + 3*x**2 - 6*x**2) to y*x**2 + n + l*x + q*x**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Add together -137 and 6.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) - sqrt(75)*-3)\/sqrt(5))\/sqrt(3).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (44\/(-48) - -1)\/(4\/(-12)). Let x be (3\/9)\/(3 + (-185)\/60). Let u be (-189)\/486 - x\/18. What is the closest to u in j, 0, 2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -b**4\/24 + 2*b**3\/3 - 4*b**2 - 15*b. Factor m(p).\nAnswer: -(p - 4)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -16 - -15.62. Let z = 6.98 + d. What is z rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -24 - 31 + 25 + s. Let h be g(18). Let m = h - -19. What is the least common multiple of m and 4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 + 19*t**2 + 19*t - 1. Calculate p(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -1318 + 1300.94. Let x = 0.06 + c. Let s be (-3 - (-26)\/10)\/(11\/(-5)). What is the biggest value in 0.2, x, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -15378, -15382, -15386, -15390, -15394, -15398?\n\"Answer: -4*n - 15374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6\/37 - -135\/148. Which is the closest to 1?  (a) 4  (b) f  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 58 - 106 - 95 - 2*c**2. Let z(v) = 2*v**2. What is p(z(m))?\nAnswer: -8*m**4 - 143","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 2*i**2. Let h(k) = 4*k + 1068. What is o(h(g))?\nAnswer: 32*g**2 + 17088*g + 2281248","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -506, 0.1, 1\/2, 1?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14 is divided by (-7 + 6)\/((-2)\/16).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -102 + 103. What is the smallest common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3795 is divided by 43.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 85898 or 85855?\nAnswer: 85855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -3\/17076410?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23*j = -637 + 729 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -93, -125, -169, -231, -317, -433?\nAnswer: -585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 21 = -5*q + 12, 125 = 5*f + 5*q. Let b = f - 21. Let k(g) = -g**3 + 3*g**2 + 2*g + 3. Let v be k(4). Sort v, 4, -3, b in ascending order.\nAnswer: v, -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 12:57 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*k - 7*k = 8*k. Let h = -8.8 + 8.8. What is the closest to k in h, 0.1, 9?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -m**3 - 4*m**2 + m - 3. Let c(s) = s**3 + 9*s**2 + 8*s - 10. Let p be c(-8). Let d be p*(-1 + (-9)\/(-6)). What is the tens digit of n(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) be the first derivative of 0*h - 1\/3*h**3 + 160 - 4*h**2. Give t(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 540 and -5 - (-5)\/10*16.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 230 (base 14) to base 13\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 305198411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -910*8\/(-1008) - (8 + -1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 9 = -5*o + 16, o = -5*p + 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vvcibsi. What is prob of picking 1 v and 1 s?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1467*y + 201 + 109 = 1622*y. Factor 3\/2*m - 27\/2 - 3\/2*m**3 + 27\/2*m**y.\nAnswer: -3*(m - 9)*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -4*a + 3*a + 17, 2*p = a - 10. Let f(g) = -g**2 - 6*g + 8. Let k be f(p). Solve -3*x + 1 = 4, -4*l + k = 3*x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 3.939. Let y = r + 0.561. Let v = -101\/5 - -20. What is the third smallest value in 0.9, y, 0.1, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 3  (b) 2\/27  (c) -1\/8  (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 + 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 280*m**3 - 1395*m**3 - 70*m + 138*m - 68*m.\nAnswer: -1115*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*y - y + 264. Let x = -131 + 92. Let g be (112\/35)\/(x\/45 + 1). What is the highest common factor of y and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6024, -12060, -18096, -24132, -30168?\nAnswer: -36204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1309533256 a multiple of 1872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.570563 - 0.0405653. Let t = y + -0.53. Round t to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 284\/3 + -96. Which is the biggest value?  (a) 1\/6  (b) j  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9718918 and 5225.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 960978 is divided by 1390?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*x**2\/11 - 46124*x\/11 - 1894446\/11 = 0. Calculate x.\nAnswer: -41, 23103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 174*u. Let z(d) = 3*d - 3731. What is z(h(f))?\nAnswer: 522*f - 3731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 1. Let r(c) = -7*c**2 - 4*c + 2. What is r(p) - 2*t(p)?\nAnswer: -7*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 8*j - 18. Let n be (-3 + (-12)\/32)*(-6)\/j. What is the closest to 1\/4 in 1\/5, n, -5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -8*w**2 - w + 2483. Let z(i) = -18*i**2. Determine l(z(r)).\nAnswer: -2592*r**4 + 18*r**2 + 2483","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18.97 + 20.5. Let g = q - 3.39. Are 0.1 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-6))\/((-9)\/(-54)). Suppose -123 = -s - p*s. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1428\/(-630) + -2 + (-24)\/(-9).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/5)\/((-100)\/1625).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 61\/12700485 and 76\/552195?\nAnswer: 12700485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**2 - 7*k - 3. Let j be x(-6). Suppose -142 = 2*v + 5*l - 170, 2*v - 16 = -2*l. Let c = -3 + 7. Solve c = v*n, j*n + 0*n = -4*w + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0\/(-8*(-1)\/2))\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/48 + 2\/(-3). Let o = 5 - 3. Let i = 0.02 + -0.32. What is the third biggest value in p, i, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/59624528 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2651?\nAnswer: 2651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3143*f + 12223*f - 1075620 for f.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 7 - (20 + -2 + -8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 3*w = 15. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-102)\/(-6120))\/((-15)\/8)*15\/(-5).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.6193 * -3.\nAnswer: 1.8579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1358*q - 10 - 1358*q + 9*q**3)*(2 - 3*q - 2) to p*q**4 + l*q**3 + h*q + n*q**2 + d and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of 1\/24*j**5 + 0*j**3 + 1\/12*j**4 + 0*j + 0 - 1\/720*j**6 + 2*j**2. Let z(x) be the second derivative of s(x). Calculate z(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: a (base 14) to base 12\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 5*x - 5. What is the units digit of j(16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 10:40 AM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) = k**2 + 61*k + 947. Give h(-47).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-20)\/6)\/((-2)\/(-3)). Let y(h) = h**3 + 4*h**2 - 7*h - 4. Calculate the remainder when 11 is divided by y(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gjgj when four letters picked without replacement from ggjjjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 219139*h - 106651?\nAnswer: 219139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**2 + 13*w + 77. Determine h(19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 25 + -25. Suppose t = -2*z - h + 115, -5*z + 2*h = -320 + 46. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(10)*-3*6)\/sqrt(2))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = 17*x**2 + 14*x - 11. Calculate the remainder when 244 is divided by m(2).\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 71, 75, 81, 89, 99?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 111551125619 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3, -22, -89, -228, -463?\n\"Answer: -4*x**3 + 9*x - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1)\/6 - 3\/(-18). Let x(i) = i - 12. Let w be x(12). Suppose 2*q + 1 = 6*q - 3*c, w = -4*c + 20. Solve d = m + q for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 15, 5, 30225 in descending order.\nAnswer: 30225, 15, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/3, 26456, -2, -20, -3 in ascending order.\nAnswer: -20, -3, -2, 2\/3, 26456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 271.1414 centuries?\nAnswer: 2711.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 PM and 5:50 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 114931?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -17\/6 - -10\/3. Determine z so that -z**2 + 0 + w*z + 1\/2*z**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -h**3 - 3*h**2 + 3*h - 10. Let l be n(-6). Suppose 0 = 5*b - 3*r - 52, 0*b - b = 5*r + 12. What is the greatest common factor of b and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -10059, -20204, -30383, -40614, -50915, -61304?\n\"Answer: -3*p**3 + p**2 - 10127*p + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -53\/23100 and -137\/24?\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 297 and 351.\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 45837014?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -487 + 484. Which is bigger: -19 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 2)*(0 - 5 + 2)*(-z - z**4 + z).\nAnswer: -15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**3 + y**3 - 4*y**3)*(-2 - 5 + 1) + (y - 4*y - 3*y)*(0*y**2 - 2*y**2 + 0*y**2) to n*y + v*y**3 + l*y**2 + h and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 42046.93 and 0.06.\nAnswer: 2522.8158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 8 = q. Suppose -h = q - 6. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = 2*j**2 - 7*j - 6. Let y(q) = q - 15. Let a be y(14). Let f be i(a). Solve 10*p = f*p - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -35, -46, 3, 148, 425, 870, 1519, 2408?\n\"Answer: 6*v**3 - 6*v**2 - 35*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -5*i + 37214, 3*i = m - 2*i - 37264. List the prime factors of m.\nAnswer: 3, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 3 + -3. Suppose c = -3*f - 5*m + 38, 2*f = -m + 25 + 12. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9670, 9586, 9446, 9250?\nAnswer: 8998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -304898 and 222512360.\nAnswer: 222207462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 140 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = g**3 + 6*g**2 + 6*g + 4. Suppose 4 = 4*d - 5*p, -3*p + p = 8. Give y(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1054*q - 1467?\nAnswer: -1054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4124*s - o = 4128*s + 27, -2*s + 14 = -2*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -124.512 - -124. Let a = -0.5 - i. What is a rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.01, -0.5, -5\/46, -5, -4\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lmmtmeueuejl. Give prob of picking 1 l, 1 m, and 1 t.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 36494504 to the nearest integer?\nAnswer: 6041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2975254 < -2975253?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hoo when three letters picked without replacement from hoooohhomhmooq.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) be the third derivative of 2*d**5\/15 + d**4\/24 + 512*d**2. Let f(k) = -8*k**2. Calculate f(c(l)).\nAnswer: -512*l**4 - 128*l**3 - 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119 - 40 + 3*l**3 + 0 + 42.\nAnswer: 3*l**3 + 121","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.67446479 - -580248.\nAnswer: 580246.32553521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 894609456 divided by 16\nAnswer: 55913091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4288\/804)\/((24\/9)\/(-4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the first derivative of -3*y**4\/4 - 2*y**3\/3 + 3*y**2\/2 + 2*y - 4. Factor g(p).\nAnswer: -(p - 1)*(p + 1)*(3*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*t + t - t)*(-4 + 1 + 0) + (5*t - 4*t - 4*t)*(1 + 2 - 1) to the form s*t + q and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 24918791.\nAnswer: -3\/24918791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/11*f**4 + 70\/11*f**3 + 0 + 256\/11*f**2 + 248\/11*f.\nAnswer: 2*f*(f + 2)**2*(f + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8309 - 8308. Solve t + 6*z - 4*z - 2 = 0, t + 3*z = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 114 = 4*g, w - 6 = -4. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14762 and 34122.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -976382*t**2 - 264151*t wrt t?\nAnswer: -1952764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, 35, 92, 171, 272, 395?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 15 + (77 - 40 - 27)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + -20499723?\nAnswer: -20499725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 0.035+3033\nAnswer: 3033.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 26 + 1. Suppose 4*t - 85 = p. Is t a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27 + 42. Let x be (u\/(-6) - -4)\/(-1). Let k be ((-65)\/25 - -3)\/(12\/(-10)). Which is the second biggest value?  (a) x  (b) -4  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-238)\/(-56) + (-2)\/1. Let r = x - 2. Let h = -7782 + 7779. Which is the closest to 0.1?  (a) h  (b) -4  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 14471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 4*t + 3. Let w be n(-4). Suppose 51*z = 38*z + 39. Find the second derivative of o**z + 3*o - 3*o - 3*o**3 - w*o wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -114 + 103. Let x(n) = -5*n**2 - n - 2. Let a(i) = 26*i**2 + 6*i + 11. Suppose u - 5*u - 8 = 0. What is u*a(s) + v*x(s)?\nAnswer: 3*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -54 + 13?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1146\/3820 + (-174)\/(-220)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2220430846?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 30\/5533 and -44\/940107?\nAnswer: 10341177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -1. Suppose -5*o - 38 = -43. Sort a, 2, o, 0 in decreasing order.\nAnswer: 2, o, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kklkuuulfklkf. What is prob of picking 2 u?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = -v**3 - 43*v**2 - 79*v + 165. Calculate the remainder when 370 is divided by u(-41).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 171 and 480?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1504 in 8.1, -3, -8.7?\nAnswer: 8.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 26931 divided by -66?\nAnswer: -8977\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 121975.185 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7699 = 459*b - 814 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*o + 12 = 0. Let q(t) = 4*t**2 - 5*t**2 + 8 - 15 - 7*t + o. Let u be q(-6). Solve 0 = u*h - 3*h + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -122*r. Let m(t) = 0*t - 20*t + 22*t. Give p(m(a)).\nAnswer: -244*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**2 - 6*d + 7. Let b be n(5). Let x be 5\/b - (-4)\/8. Solve 2*w = -w + x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1085 + -556. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -b - 20, 4*w = 2*b + 8 + 14. Suppose 5*q - 18 = -y, 2*q - 15 = -2*y - 3. What is the derivative of -4*l**q - 4*l**3 + 1 + 9*l**w wrt l?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y, 2 l, and 1 p when four letters picked without replacement from {l: 2, p: 1, y: 3, z: 7, r: 1, m: 4}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*w - 5*p + 1 + 23, 3*p - 20 = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21036 + 21433. Solve 0 = 52*q + b + 19 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1142146372 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + -5 - (75 + -84).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -39088 divided by 6\nAnswer: -19544\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 3) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - -394?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57*t - 282*t + 633*t - 11613 + 441 = 0 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5026.1 * 7.425\nAnswer: 37318.7925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5183\/2955 + 5470862\/972195. Let m = q - -11\/564. Find the common denominator of 83\/56 and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-7)\/(-231))\/(17\/306).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5.3 - 0.7. Let l = -47 + t. Let u = l - -53.00047. What is u rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 568 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -313\/18234 or 1?\nAnswer: -313\/18234","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + v + 4, 2*k - 5 = -0*v + 3*v. Let b = 9 - k. Let m(d) = b - 5 - d**2 + 3. Let s(h) = 2*h**2. Calculate s(m(n)).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3409898130 a multiple of 8490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q = 13*q - 4*p - 12, 3*p = 2*q - 2. Factor -8*c**2 + 16*c + 10 + 0*c**3 - q*c**3 + 10 + 12.\nAnswer: -4*(c - 2)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -26*f - 95 - 37*f + 20*f. Calculate the remainder when w(-6) is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.720417 months in centuries?\nAnswer: 0.0056003475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13958.5, 2\/9, -91?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 639 minutes after 5:59 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = a**3 - a**2 - 2*a + 3. Let p be x(2). Let t = -10 - -14. Let n(f) = 2 - t - f + p. Calculate n(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q + 5*u = 310, -3*q - 83*u - 14 = -164*u + 79*u - 195 for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + -1 + sqrt(200) + -5)*2.\nAnswer: -60*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34 + -8. What is the highest common factor of 13 and d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = z - 2. Let k be j(-2). Let x(t) = t**3 + 5*t**2 + 3*t + 5. What is the units digit of x(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41787 to the power of 1\/2, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 285436331 to the nearest integer?\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 - 11 - 5)*(g + 4*g - 3*g)*(-3*g + 3*g + g**2)*(2*g - 4*g + 0*g).\nAnswer: 92*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12*(84\/504)\/((-6)\/(-4)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*t - 5*t**2 - 33*t**2 + 2*t**2 + (t - 3 + 3)*(-5*t + 2*t + 2*t) + (-2*t + 2*t - 2*t)*(-4 - 2*t + 4) - 1 + 1 - 2*t**2.\nAnswer: -35*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21226 (base 10) to base 6.\nAnswer: -242134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 5326781 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sqqsppqqs. Give prob of sequence ssq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 36077 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = -o**3 + 16*o**2 + 11*o - 16. Let p be 4 - (-5 + 4)*1. Suppose p*k + 1 = 81. What is the tens digit of l(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (14\/175 - 2276\/(-300))*639.\nAnswer: 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1229, -1736, -2241, -2744, -3245, -3744, -4241?\nAnswer: -4736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 51*w - 135. What is the lowest common multiple of k(3) and ((-141)\/3)\/(5\/(-5 + -10))?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -73 + 4*g - 3*g + 57.\nAnswer: g - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x**3 + 153526*x**2 - 1075120*x - 26101800 = 0. What is x?\nAnswer: -76770, -10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 19 + 0. Let w = r - 16. Let o(z) = 2*z + 4. What is o(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 45*d**5 + 42*d**4 - 498*d**3 - 372*d**2 + 837*d - 54 = 0.\nAnswer: -3, -2, 1\/15, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106768490?\nAnswer: 2, 5, 47, 227167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 26*y = 172, -3464*y + 1732*y - 54 = 12*c - 1733*y for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of 24*i**3 - 20*i**3 + 21*i**2 + 115 - 21*i**2. Let z(q) = 3*q - 3*q + 2*q. Give z(t(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -83685532 by -4.\nAnswer: 20921383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = c + 48. Suppose 4*a + 0*a - c = 0. Solve a*q + 11 = -q - 3*i, 10 = -2*q - 4*i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -107\/84 and 67\/16394?\nAnswer: 98364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3\/(-6))\/(2\/8). Let z be (6 - 3)\/((-21)\/f). Are z and 2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = i**2 + 8*i - 13. What is o(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Add together -8238 and 2.\nAnswer: -8236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(-10)\/(w\/(w**6\/w)))\/(w\/(w\/(w*w**(1\/3))))**(2\/41))**(1\/7))**(-11\/3) assuming w is positive.\nAnswer: w**(8206\/2583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 20*(0 - 1\/(-1)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 9:13 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 6470 minus -2?\nAnswer: 6472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -23*f + 29. Let q be j(-5). Let o(z) = z + 296*z**3 - q*z**3 - 153*z**3. Let t(i) = 6 - 6 + 2*i. Determine 4*o(s) - 2*t(s).\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m = h - 5 - 1, 4*h = m - 18. Solve 3*i + 5*y = y + 19, -m*i - 14 = -4*y for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9582 a factor of 3147918463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5316263123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 0.2  (b) -2  (c) 8  (d) 15.37  (e) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 4*x + 4 = -3*m, -3*x - 3 = 3*m. Suppose -w - 13000 = -m*w. Round w to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2025 divided by 81?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0035469877 rounded to 5 dps?\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: ((11305\/38)\/85)\/((357\/(-342))\/(-17))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 356 + 73. Let j = w + -198. What are the prime factors of j?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tktktttktkkkt?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -33 (base 4) in base 5?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 319285 is divided by 6517.\nAnswer: 6469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by 16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*sqrt(272) - sqrt(272).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1865 less than 1855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*v = 13*v + 15. Suppose -5*t - 15 = -2*t, s = -v*t - 11. Which is the closest to s?  (a) 1\/2  (b) -0.02  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence snns when four letters picked without replacement from {a: 3, j: 5, z: 1, i: 3, s: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**3 - 24*u**2 - 52*u - 2. Let t be c(26). Let a(f) = 16*f**2 - 2*f - 3. Is 13 a factor of a(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -20\/82281143 and -3\/28546519?\nAnswer: 1398779431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 175*o**2 + 20*o + 3. Let c(u) = u**2 - 1. Determine -2*c(q) - v(q).\nAnswer: -177*q**2 - 20*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gggaggjgejaagjggggj. What is prob of sequence gaag?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o**5\/5 - 242*o**4\/5 - 398*o**3 + 411434*o**2\/5 + 665520*o + 1332000 = 0.\nAnswer: -75, -4, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ls when two letters picked without replacement from qzlkzkklkllsksg?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jeje when four letters picked without replacement from {j: 3, e: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s**2 - 25*s - 94. Does 13 divide t(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -318 or 1\/56?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 104*c**3 + 3073*c - 49*c**3 - 59*c**3.\nAnswer: -4*c**3 + 3073*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1 + 3. Suppose 3*u = 5*u - b. List the prime factors of (-1 + u)\/(2\/22).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1*2*((sqrt(612) - (sqrt(612) + -1 + sqrt(612))) + sqrt(612) + 5))**2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 41446 < 41446?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v + 10 = -2*p, 798 - 780 = -2*p - 5*v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**2\/2 + 48237*o - 578916.\nAnswer: (o - 12)*(o + 96486)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 23456, 46906, 70352, 93794, 117232?\n\"Answer: -2*h**2 + 23456*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -3*l**2 - 21*l - 41. Let r be x(-3). Sort r, -417, -3 in descending order.\nAnswer: -3, r, -417","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/36 of a day?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 1*-0.04\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -127\/41  (b) 1\/5  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*h**3 - 10 + 0*h - 16 + 22*h**2 + 16 - 2*h + 5*h**3 to z*h**2 + i*h**3 + p*h + q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 168.1 to the nearest 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 38*u**3 - 4*u**2 - u. Let a be g(3). Let t = a + -269452\/273. Let i = t + 6829\/1092. What is the common denominator of i and -15\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 97 = 2*v - 59. Let f = 120 - v. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1008684 - -0.00881?\nAnswer: 1008684.00881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-8)\/(-4) - (-5)\/5. Suppose 0 = w*z + 2*z - 105. Let a be ((-1)\/(-9))\/(1\/z)*21. Calculate the highest common divisor of a and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1862 and 3648?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -124 = -3*d - v, 3*d = -2*d + 2*v + 225. Suppose -d - 7 = -10*l. Suppose x - 4*x + o = -195, -l*o - 249 = -4*x. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.20301 + -0.2055354. Round i to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -127, -114, -101, -88?\n\"Answer: 13*z - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 166.02 from -0.4.\nAnswer: -166.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2.267  (b) 22  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p = -g + 14, -g - 8*p - 13 = 33 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3 + 1. Let f(c) = -6*c + c + h*c + 7. Let q be f(7). Solve 4*y + 16 = -q for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -342 by 269.\nAnswer: -342\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1000210100211 - -110101?\nAnswer: 1000210211012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u**(-1\/3)*u*u)**16)**(-8\/7) assuming u is positive.\nAnswer: u**(-1024\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26640 and 18648?\nAnswer: 186480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.2 + -0.2. Suppose 17*f + s + 16 = 15*f, 5*f + 43 = -3*s. Let h be 21*(-3)\/(-27) + 0. What is the closest to i in -0.4, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of p**5\/30 - 832*p**4\/3 + 2768896*p**3\/3 + p**2 - 407*p. Factor z(t).\nAnswer: 2*(t - 1664)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 6, -28, 0, -7.\nAnswer: -28, -7, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1739 (base 13) in base 4?\nAnswer: -311210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11684 (base 12) to base 10.\nAnswer: -23428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7107862 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 709166?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 4 + 21)*(-3 + 3 + 8*d)*(0 - 10*d + 0 + (5 - 2 - 4)*(d + 3*d - 5*d)).\nAnswer: -1584*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -3 - (16 - (4 + 9)) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 12 = -3*a, 2*w - 3*a = 36. What is the least common multiple of w and 180?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of 32*r + 3\/2*r**4 + 1\/10*r**6 + 1 + 6\/5*r**5 - 20*r**3 + 75\/2*r**2. Suppose o(k) = 0. What is k?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 142113.\nAnswer: 2\/142113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = -k**2 - 5*k - 2. Let c be b(-5). Suppose -3*j - 9 = 4*n, 2*n + 2*j + 0 + 2 = 0. Let l = c - n. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 177860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*j - 320 = 5*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -63\/88 and 83\/66.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/(-1))\/((-3)\/168). Let a be (-4)\/(-6) - b\/6. Let y(n) = n**2 - 33*n + 322. Let w be y(16). What is the highest common factor of w and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - u - 7, -111*u + 115*u - 12 = 0. Suppose h*t = 11*t - 5*f - 536, -5*f = -3*t + 1608. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2. Let u(p) = -3*p**2 + 5. Give v(u(n)).\nAnswer: -9*n**4 + 30*n**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 210030101232 (base 4) in base 2?\nAnswer: 100100001100010001101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 134 divide 14722283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -518*w**2 - 8*w - 4. Let a be i(6). Round a to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (2 + -1)\/((-55)\/(-220)). Find the third derivative of 33659*h**3 - 33659*h**3 + 88*h**2 + 125*h**m wrt h.\nAnswer: 3000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3633 divided by -29388.\nAnswer: -1211\/9796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -631 - -1457. Is 55 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2\/5881 - 688357\/823340. What is the common denominator of q and -27\/160?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10753904.\nAnswer: 2, 7, 96017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -460458028, -920916052, -1381374076, -1841832100, -2302290124?\n\"Answer: -460458024*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -33 + 22 - ((-7 - -5) + -10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 2*s**2 + 19*s + 30. What is the hundreds digit of j(-20)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22967199 to the nearest integer?\nAnswer: 4792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 415 a factor of 182185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*f**4 - 3304438*f**3 + 21078*f**2 + 2*f - 22.\nAnswer: 48*f - 19826628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3170.451 nanoseconds in seconds?\nAnswer: 0.000003170451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 4614072557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -23 + 22. What is the nearest to 0.2 in k, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(231\/22))\/(2\/(-56))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -7, -2, -1\/5 in descending order.\nAnswer: 5, -1\/5, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 19*m**2 + 20*m - 26. Determine r(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-112)\/(-8)*(8 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000468636 rounded to six dps?\nAnswer: -0.000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 59 divide 46725426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - (-1 - 0)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*u - 4*u + 27966367. Let v = u + -9151259. What is v rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -0.4, 14.4, -7, 11, -5, -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 165*a - 240*a + 144225. What are the prime factors of a?\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = -t**3 + 9*t**2 + 9*t + 12. Let f be z(10). List the prime factors of 390\/33 + f\/11.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*m + 22*m + 3 + 2.\nAnswer: 15*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -167 times -1.171\nAnswer: 195.557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0*m + m - 3*m)*(-1 - 2 + 5) - 5 + 6 + 400*m - 785*m)*(5*m - m - 3*m) to d*m + k + c*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 409 - 6729 = -8*r. Let i = 1449 - r. Let x = 1146 - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = i**3 - 9*i**2 + 7*i - 3. Let a(j) = 5*j**2 + 16*j**3 - 48*j**3 + 18*j**3 + 13*j**3 - 2*j + 18. Let f be a(5). Give q(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 56*u**2 + 56*u**2 - 114*u**2 - 407*u to t + d*u**2 + h*u and give h.\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 50359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1*2 + 1 - (-13)\/1. Let p(j) = -j**3 + 15*j**2 - 20*j - 12. Does 31 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -104*s - 16599. Calculate k(-161).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1689119323?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -3*c**4*p + 3855198*c**3*p + 906*p + 892 wrt c.\nAnswer: -12*c**3*p + 11565594*c**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 526967 + -369622. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 284630.6 nanograms?\nAnswer: 0.0000000002846306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -106975*c**2 + 39128*c**2 + 67852*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -1483*h - 230. List the prime factors of f(-3).\nAnswer: 4219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -304*n*u - 4*u + 58 wrt n.\nAnswer: -304*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-105)\/(-14) - 7)*2\/4. Factor z - 1\/2*a + 1\/4*a**2.\nAnswer: (a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 2*x**3\/3 + 72*x**2 + 2410*x\/3 - 1900 = 0.\nAnswer: -95, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - w = 56, 3*z - 3*w = -11 + 47. Let t be 2\/((-54)\/z + 5). Solve 0 = -3*y - 5*r - 2, 3*y + t - 2 = 4*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -119 + 195*q - 122 + 241 to b + g*q and give g.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 45*p**2 + 96*p - 121. Determine r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(3) - (sqrt(3) - sqrt(75)))*4.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/2*(420\/(-28) - -17)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-108)\/(-180) + (-1)\/((-10)\/(-76))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q + 5*i = 60, 2*q - 14 = -2*i + 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n - 14. Let o be h(10). Let t be (-2)\/o*(-40 - 2). Calculate the least common multiple of 11 and t\/(-2) + 20\/(-40).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 7 - (205975\/5385)\/5. Let x = 6\/359 - i. Factor -8\/3*j + 0 + 0*j**2 + x*j**4 + 2*j**3.\nAnswer: 2*j*(j - 1)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 468 = 3*g + 4*q, -3*q - 339 = -3*g. Let h = g + -70. Let i = h - 27. Is 18 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = 53*a + 2806. Determine y(-53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 510*i**2 + 17342*i + 196520. Let a(z) = 25*z**3 + 13770*z**2 + 468235*z + 5306040. Let u(y) = 2*a(y) - 55*v(y). Suppose u(c) = 0. What is c?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v + v**4 + 0*v**4 + v**4)*(2 - 1 + 2)*(1 - 2 - 1).\nAnswer: -12*v**4 + 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 12:42 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 3*g**2 + 26*g + 9. Determine a(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -602 - 1208. What is f rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.05 - 0. Let s = 13.95 + y. Let b = 13 - s. What is the nearest to 0 in -0.4, -3\/4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 4, 112085, 3 in descending order.\nAnswer: 112085, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (6 - 14) + (-21 - -22) - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 302c7 - 21?\nAnswer: 302a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 519 is divided by 380?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -v. Let x be f(-5). Let c(q) = -x + 3 + 2 + 5*q. Let y(z) = 2*z. Determine y(c(i)).\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2303 - 936. Let q = -1367.0000721 + f. What is q rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (238\/(-42))\/((-2)\/12). Let r = h + -30. Solve r*m = -0*m + 12 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and -173362771224.99.\nAnswer: -173362771224.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*a**3 + 15440*a**2 + 1008325*a + 992880.\nAnswer: -5*(a - 3152)*(a + 1)*(a + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -15.56 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + 4*g = 0. Suppose g = 3*b + 17 + 4. Let k(l) = -8*l - 12. Is k(b) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 226871 - 69505. Let h = b + -37371. Suppose 4*c - 2738 = -2*y - 62734, 0 = -4*y - 5*c - h. Round y to the nearest 1000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -407940 divided by -81588.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do -203042\/813 and -250 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-4)\/(-10) - 32\/5. Let l = -7 - h. Let w(i) = i - 1. Give w(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -45*q + 5. Let f(x) = 22*x - 2. Let i(o) = 5*f(o) + 2*h(o). What is the units digit of i(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 640226, 1280780, 1921328, 2561870, 3202406, 3842936, 4483460?\n\"Answer: -3*a**2 + 640563*a - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7015 + 140287\/20. Find the common denominator of i and 11\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**3*((x\/(x\/(x*x**(1\/2))*x))\/x)\/x*(x\/(x\/x**(-2)))**(2\/5)*((x*x**(-1))**(14\/3))**(-11\/6) assuming x is positive.\nAnswer: x**(7\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*c**4\/5 + 128*c**3 - 546*c**2 + 544*c - 627\/5 = 0 for c.\nAnswer: 1\/3, 1, 3, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b**2 + 292*b - 3129. What is z(-106)?\nAnswer: -373","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3362 + 5887. What is the thousands digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -3026*p + 1273936. Calculate n(421).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -9 + (3 - 55\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -214*g**2 + 144*g**2 - 184*g**2 - 287*g**2 - 4 - 151*g**2. Let c(n) = -n. What is c(h(u))?\nAnswer: 692*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/90 and ((-47)\/564)\/(45\/564).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 392 + 8?\nAnswer: 39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 64 - 336*k + 0*k**5 + 300*k**2 + 5*k**5 + 361*k**3 + 4*k**5 + 102*k**4 = 0. Calculate k.\nAnswer: -4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of -25*x**2\/2 + 3*x + 75. Let i be a(0). Let -20\/3*m + 40\/3 - 5\/6*m**i - 35\/6*m**2 = 0. What is m?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -3*y - 28, -g - 10 - 5 = 2*y. What is the tens digit of (g\/3)\/(3\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/12 and -67\/97635.\nAnswer: 390540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1727 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes after 12:21 AM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1)\/(-2)*(-2 - -4). Let v be (-226)\/(-6) - j*(-1)\/3. What is the highest common factor of v and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51304299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -21333423141?\nAnswer: 21333423201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 976 * -116428\nAnswer: -113633728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + (3 - (-2 - (-7 - -4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -657843000 rounded to the nearest 1000000?\nAnswer: -658000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j + 2*j - 3. Solve j*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -19*r - 5. What are the prime factors of d(-5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 192770158?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*l**4 - 142 - 2*l**3 - 73 + l**2 - 2*l + 396 - 117 to the form b*l**4 + g + d*l**3 + p*l + n*l**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -23*u**3 + 2*u + 6. Let l = 20 + -23. What is the tens digit of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 7.674327cm?\nAnswer: 76743.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2694 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x\/(x\/(x*(x**(1\/10)\/x*x)\/x))*x**(-8)*(x\/x**(1\/12))\/x*x**(-3)*((x*x\/x**(-1)*x)\/((x*x*x**(-4)*x)\/x*x))\/((x*x**0)\/x)**(2\/123) assuming x is positive.\nAnswer: x**(-359\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 748 + 945. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 20 = -2*i, -3*i + 29*j + 6 = 27*j. Let q = 49 + -20. Suppose i*f - q - 835 = 0. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -42022324 (base 5) to base 9.\nAnswer: -575640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1492*m + 1450*m + 694*m - 1098*m.\nAnswer: 2538*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*u - 3494 + 4139 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -6*o**2 + 1034*o - 2329. What is u(170)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9335.23kg?\nAnswer: 9335230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111221020 + -211001021?\nAnswer: -22010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2222023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2334 + -2295. Let r(j) = -j**3 - 2*j**2 + 2*j + 1. Let c be r(3). Let z = c + x. Let k(f) = -2*f**2 + 2*f - 1. Determine k(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the first derivative of 3*l**5\/5 - 3*l**4 + 6*l**3 - 6*l**2 + 3*l + 12. Solve y(r) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 95396759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the first derivative of 13*r - 4 - 2\/33*r**4 - 7\/110*r**5 + 0*r**3 + 0*r**2. Let y(k) be the first derivative of z(k). Factor y(d).\nAnswer: -2*d**2*(7*d + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18836070 divided by -2.\nAnswer: 9418035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 3, s: 3, n: 5}. Give prob of sequence skkk.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -4a (base 11) in base 14?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -44, -53, -66, -83, -104?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -268 = -0*i - i + 4*u, 2*i - u - 501 = 0. What are the prime factors of i?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = h**3 - 37*h**2 - 30*h - 279. Let o be u(38). Solve 5*d + 23 = 3*g, -5*d - o + 6 = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 40 = -66*m + 62*m, 40 = -4*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 1634605 divided by -326921\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -39*z + 32 - 1 + 3*z. Suppose -228*q + 227*q = 8. Is g(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = -w - 40. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -5497605, -5497613, -5497621?\nAnswer: -5497629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 408.758 weeks to milliseconds.\nAnswer: 247216838400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-48 + 778)\/(-10) + 47.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -29\/35  (b) 3\/5  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1837*q**3*s*y**3 + 3*q**3*s*y - 12*q**3*y - 3*q**2 + 12*q*s*y**3 - 2*q*s*y**2 - 122*s*y + s wrt y.\nAnswer: -11022*q**3*s + 72*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 35 = 5*g - 55. Let o(w) = -3*w - 3. Let f be o(-2). Suppose -4*c + u = -g, 3*c + 0*u - 9 = f*u. Solve 0 = -2*v + 10, -c*j + 4*v = -v + 50 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = u + 4, 3*u - u + 4 = -2*r. Let v(m) = 10*m - 1. Determine v(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 - 4*f**2 - 2*f + 1. Let r(i) = i**3 - 5*i**2 - 7*i. Let t be r(6). Is 26 a factor of b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let -51*v**3\/2 - 11522*v**2 - 1300630*v + 204304 = 0. What is v?\nAnswer: -226, 8\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 PM and 7:11 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of -z**2 - 2*z + 246. Let f(w) = w**3 + 3*w**2 + 4*w + 5. Let n be f(-2). Let j(a) = a. Give n*q(r) + 6*j(r).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 4325 divided by 788\nAnswer: 4325\/788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 65 = -k, 9*k - 7*k - p + 127 = 0. What is the remainder when (k\/40)\/(4\/(-250)) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66732.\nAnswer: 2, 3, 67, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1)\/((2\/3)\/2). Let m(o) be the second derivative of o**3\/2 - 9*o**2\/2 + o - 281. Let t(x) = 2*x - 5. Determine y*m(j) + 5*t(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*u + 1 + 11. Let p(i) be the second derivative of 0 - 1\/20*i**5 + 1\/6*i**3 + i**2 + 2*i + 1\/2*i**4. Calculate p(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6722?\nAnswer: 2, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 137\/893640 and -47\/167145.\nAnswer: 905257320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 75\/11  (b) -19  (c) -2\/9  (d) -112\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence skws when four letters picked without replacement from wswsswkswk.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 113119?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + f**2)*(5 - 3 - 1) - 5*f**2 + 2 - 2 + 5*f**2 - f**2 - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -4. Let m be 15\/(-6)*6\/(-5). Solve -x + h = m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.013 and -8749.552291691.\nAnswer: -8749.539291691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 64674283?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00027118861 rounded to five decimal places?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 148 - 153. Let d = 13 + 19. Let k = d + -27. Which is the third smallest value?  (a) k  (b) 2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 + b87bd?\nAnswer: b87c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 699, 4571, 14265, 32433, 61727?\n\"Answer: 442*m**3 + 259*m**2 + m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 + (-1 - -4 - -4) + 41 + -39 + 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((720\/(-120))\/((-4)\/(-46)))\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34220 and 3422.\nAnswer: 34220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -22927, -22927, -22917, -22891, -22843?\n\"Answer: w**3 - w**2 - 4*w - 22923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and -58.\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 156389 (base 13) in base 7?\nAnswer: 4326032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -2*f - 6. Let g be s(-3). Let u = -249 - -1483\/6. Let d = u + 4\/3. Sort -0.2, d, -1, g in decreasing order.\nAnswer: g, -0.2, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by 65\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 151 a factor of 108627588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -9564067*j**3 + 2*j**2 + j. Let c be x(-1). Let u be c + -1 - (0 + 2). Let b = u - -5235935. What is b rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*x**3 - x**3 + 2*x**2 - 1168 + 1180 + 2*x to the form n + j*x**2 + g*x + h*x**3 and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.192613839 and 663?\nAnswer: 663.192613839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 186\/(-17)*72981\/(-12879).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 20*o + 38. Give b(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*h**5 + 80*h**4 - 120*h**3 - 1600*h**2 - 2000*h.\nAnswer: -5*h*(h - 10)**2*(h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the first derivative of c**2 - 57. Let v(o) = -2*o**2 + 22*o. What is i(v(r))?\nAnswer: -4*r**2 + 44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3)\/(-9)*(-25)\/5*3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put -56, 5, -51027, 3, -1, -6, -5 in ascending order.\nAnswer: -51027, -56, -6, -5, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144049.\nAnswer: 23, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 3*y + 27 = 0, 4*y - 2*y - 10 = 0. Suppose 24 = 3*a - s*b, -2*b = 1 + 3. Solve a - 20 = -4*k + 2*t, k + 4 = 3*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - 0 - (2 + -12 + 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(sqrt(19) - (-3 + sqrt(19) + sqrt(19) + sqrt(19)*1 - sqrt(19))))**2 - (0 + sqrt(171))*1) + -5.\nAnswer: -99*sqrt(19) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -33036489087 - -3.\nAnswer: -33036489084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 20 - 19.9. Let n be 0 + 2 - 91\/7. Let z = n - -16. Which is the second smallest value?  (a) q  (b) -0.5  (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -3*(-2)\/1 - 2. Suppose s = h*s - 6. Suppose 0*n - 18 = s*n. Find the common denominator of n and -71\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of s**6\/72 - s**5\/8 + s**3\/3 - 13*s**2. Let b(p) be the first derivative of k(p). Factor b(j).\nAnswer: 5*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the third derivative of w**7\/525 + w**6\/100 + w**5\/75 + 6*w**2. Factor i(g).\nAnswer: 2*g**2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 56, -13, 1\/3, -5, 5.\nAnswer: -13, -5, 1\/3, 0.5, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(1377) - (sqrt(1377) - -2*(sqrt(1377) + 3)**2 - sqrt(1377)) - sqrt(1377)).\nAnswer: 324*sqrt(17) + 8316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50 - 324796.\nAnswer: -324746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h = 3*y - 6*y + 3, 4*y = -5*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -117\/44 + 21\/11. Let c = 9\/26 + 2\/13. Let y(h) = 2*h - 1. Let u be y(2). What is the nearest to 1 in c, a, u?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 21713 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 81?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((t\/(t**(1\/9)\/t))\/t**(2\/3))**45)**(-5\/7))**(-14) assuming t is positive.\nAnswer: t**550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3*j + 19. Let p(m) = 5*m - 36. Let n(b) = -3*p(b) - 7*u(b). Let h be n(5). Calculate the greatest common factor of 40 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:21 PM and 7:28 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 191*m - 6 - 194*m + 9 - 3.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4765 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7229, 14397, 21515, 28583, 35601, 42569, 49487?\nAnswer: 56355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -108 - -121. What is the smallest value in 5, w, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - (-549)\/90 - (1 + -7 - -1*12)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 5*f + 3*p = 0, -f = -p - 8. What is the second derivative of -4 + 4 - f*l + 5*l - 2*l**3 wrt l?\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4  (b) 0.3  (c) 66  (d) -4  (e) -1  (f) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -238 - -623. Suppose -3*r + h = 4*p, -297 = -3*p - 2*r - 3*r. Does 10 divide (-1)\/(p\/(-31) + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -7605, -7627, -7649?\n\"Answer: -22*s - 7583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 68 - 66. Suppose 0 = 2*k + 8, -14 = f*t - k - 70. What is the hundreds digit of 10\/(-65) - (-3358)\/t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k and 1 b when three letters picked without replacement from brkkcgkjbjkkkkkjkb?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -3*p - 3. Suppose -4*z + 8 = -3*l, 4*z + 2*l - 12 = 4*l. Determine g(z).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -55 - 36 - 3*w - 264 - w + 3*w in the form z + t*w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*o**3 - 6 - 9*o**3 + 2 + o**3.\nAnswer: -2*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3625?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3.8 + 0.2. Let v be 2 - 5\/((-20)\/8). Let u be 10\/v*(-24)\/(-20). Which is the nearest to -0.4?  (a) q  (b) 0  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(128)\/sqrt(484))\/sqrt(4))\/(sqrt(12)\/(4*sqrt(3))*6).\nAnswer: 2*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7709*v + 2753 - 25635 = 6363*v for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*o - 224 = 45*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Evaluate (26\/(-208))\/((-781)\/(-88) + -8).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 6188178\/11 or 562562?\nAnswer: 6188178\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 184, 179, 172, 163, 152?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-123)\/(-1)*(12 + (1 - -5)).\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 87\/3446254 and 16\/217?\nAnswer: 106833874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 + -19. Let f = -22.2 - o. Let i = 1.3 + f. What is the closest to i in -3, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 46 = -2*i, -146 = -3*s + 2*i - 4*i. Suppose -564 = -s*d + 36*d. Calculate the remainder when 1125 is divided by d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 8 and 682.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -17*x**2 - 8*x + 1. Let n = 14 + -21. Let j be o(n). List the prime factors of 1\/(-3) - j\/24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1068?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 3:47 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 15*r + 689. Calculate k(-44).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4184 = -109*j - 414*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 347195?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 - -15 - (-5 - 2 - (-16 - -11) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 1840*h**2 + 3 - 3678*h**2 + 1837*h**2. Let m(z) = 2*z**2 - 4. Calculate -4*m(j) - 5*w(j).\nAnswer: -3*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sa when two letters picked without replacement from {a: 1, q: 2, s: 10, d: 1}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 528099841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-5)\/(-15)*9 + (3 - 0). Let b be (-2)\/1 - (k\/(-2) + -4). Suppose -2*f = 5*w - 2383, -5*f + 2559 + 3381 = -b*w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/4*2\/51.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l + 7*l - 15 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((2*4*sqrt(756))\/sqrt(12))\/(sqrt(54)\/(sqrt(6) - sqrt(864)*5)).\nAnswer: -472*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = 4*j - 217, -3*j + 2*l = -4*j + 38. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13775855 is divided by 436.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -2*r + 3. Suppose 3 = -2*k + r*k. Suppose -2*w = k*w - 40. Calculate the remainder when w is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = v**3 + 37*v**2 - 5*v - 159. Let k be i(-37). Solve k*d - 9*d = 68 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 4*g - 3. Let t(j) be the first derivative of 0*j + 2 - 2*j + 0*j + j**2. Let v be (-25)\/5 - (2 - 1)*-2. What is v*a(z) + 5*t(z)?\nAnswer: -2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Work out -417015878 - -10703.5.\nAnswer: -417005174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:23 PM and 4:09 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -70 + 88. Suppose -2*b - 3 + 9 = 0, -z = -3*v - b. Let y(j) = j - 3. Determine y(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*s - 45*s = 20. Which is the nearest to 2\/43?  (a) 5  (b) -0.5  (c) -1\/6  (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 804 is divided by 234.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 + 4)*(23*a**5 + 0*a**5 - 45*a**5).\nAnswer: -66*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-4))\/(150\/90)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3243 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -4 + -1110487?\nAnswer: -1110491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -2*n - 52. Let m(z) be the third derivative of -z**4\/12 + 5*z**2 + 7. What is m(v(t))?\nAnswer: 4*t + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0, 2.2, 11369\/193?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 2 = 4*f, -5*w - 3*f = -0*f - 4. Suppose -2*v - 3*v - 3 = -w*o, -7 = 5*v - 3*o. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -25901 and -2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) be the second derivative of r**5\/15 - r**3\/2 - 3*r**2\/2 - r. Let v(t) be the first derivative of f(t). Find the first derivative of v(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8913952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(275) - -2*sqrt(1331))*-6.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0813 and -1327.\nAnswer: 107.8851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 32 + -22. What is the derivative of s*z**3 - 5 + 9 + 3*z**3 wrt z?\nAnswer: 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21542 is divided by 7075?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = -7*y + 9. Let z be 15 - -8 - (1 - 1). Let u(l) = 15*l - 4*l - z + 9. What is 8*j(c) + 5*u(c)?\nAnswer: -c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9071*r - 9071*r - 210*r**3.\nAnswer: -210*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 271575234 minus -233?\nAnswer: 271575467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, i: 1, k: 11}. What is prob of picking 1 j and 1 i?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 21674604428.3259996182 + -21674604426. Let m = f - 2.326. What is m rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5 + 0\/3*1. Suppose -v - 16 = -f*v. Calculate the greatest common factor of v and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 21*f. Let h(j) be the third derivative of j**4\/8 - 174*j**2. Determine -15*h(p) + 2*i(p).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2993 or 2994?\nAnswer: 2994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 16\/(-20))\/(18\/(-226245)). Let h = 2492 - u. Calculate the common denominator of -127\/6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 110, 100, 80, 44, -14, -100?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3011059, -6022121, -9033183, -12044245, -15055307?\n\"Answer: -3011062*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, 1451, -0.2, 0, -77\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-10)\/(-8))\/((-8)\/4).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 723 in -2, -1\/2, 3\/10, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.094753586 rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -18880000 rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 8539805069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -202010 - -12?\nAnswer: -201221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -433*t + 462*t - 2446933 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in 3, 5, 160, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g**2 - 3*g**2 - 3*g**2)*(-4 + 1 + 1) + (g + 3*g + g)*(-2 - 2*g + 2).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.9 - 0.8. What is the nearest to -4\/5 in -3\/4, k, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p - 26 = -2*h, 477 = -4*p - 7*h + 538 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Let n be (1\/(-2))\/((-4)\/(-8)). Let d(j) = 3*j**2 + 2*j + 1. Let f be d(n). Suppose -18 = -f*m - 4. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = 81*b - 1781. Let z be l(22). Which is greater: -3\/1391 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -654 + 0?\nAnswer: -654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(3 + -1 + sqrt(17)))**2 - (5 + (2*sqrt(272) + sqrt(272))**2)) + -1.\nAnswer: -1929 + 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34439.\nAnswer: 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -754608*z = -754644*z + 1404 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -16413642 (base 7) to base 11\nAnswer: -9a3467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -180*n + 1704. Let u(f) = 11*f - 107. What is -2*d(w) - 33*u(w)?\nAnswer: -3*w + 123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 37*c + 3*c**2 - 37*c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 6*v - 27 = 0. Suppose -5*d + 1 = -v. Suppose 3*f + d*f = 15. What is the remainder when f is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2298 = 60*o - 191*o + 191 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7*q + 13*q - 6 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0111843 rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 + 8*t**2\/3 - 5*t.\nAnswer: -t*(t - 5)*(t - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = 5*u + h, -2*h - 9 = u - 2. Let d = 357 + -354. Solve -3*p - 9 = 5*n, -d = u*n + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -33. Let f(o) = 3*o - 4. Let y be f(4). Suppose -3*a = -y*a + m. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -219, -219, -221, -225, -231?\n\"Answer: -s**2 + 3*s - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s - 10 + 16 = 0. Suppose 3*l - 4*l - 26 = 0. Let u = -6 - l. Calculate the least common multiple of u and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.5  (b) 0.1  (c) 3\/2  (d) 1.9  (e) -2  (f) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -8 + 1 - 8 + 1 - 41*x - 5052*x**2 + 5059*x**2. Determine i(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence td when two letters picked without replacement from {d: 2, g: 1, c: 4, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -q + 1. Let g(x) = -x**2 + 4*x + 3. Give g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 3815, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 5, -400, 1, 4 in descending order.\nAnswer: 5, 4, 1, -4, -400","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -z + 278 - 1130 + 852.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of x**3\/3 - 5*x**2\/2 - 11*x - 662. Give q(5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9800 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/l**(-6))\/l**(-1\/6)*l**21*l**(-3\/17)*l assuming l is positive.\nAnswer: l**(2957\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(143)\/((sqrt(44) + sqrt(11))*2).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is n in 5*n**3 - 1409515*n**2 - 2819045*n - 1409525 = 0?\nAnswer: -1, 281905","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1720484275 rounded to two dps?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 1, n: 2, i: 8, z: 2, s: 6, l: 1}. Give prob of picking 1 n and 1 s.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2955.8*-246.\nAnswer: 727126.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 14026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -w**3 - 21*w**2 - 2. Suppose -84 = 8*k - 4*k. Let f be h(k). Let r be (-2)\/6 + (-45)\/(-81). Which is the nearest to 0?  (a) f  (b) 0  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 72 and 13524.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -450 and 374365.\nAnswer: -168464250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 12045219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 89694 = 3*h + o, -11*o + 8*o = 3*h - 89688. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((4\/(-10))\/((-24)\/(-150))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*z - 35 = 6*z. Let t(n) = 9*n - 7. Let h(d) = 5*d - 4. Determine z*h(r) - 4*t(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -33318307*r**2 - 28057538 wrt r?\nAnswer: -66636614*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 45523, 45409, 45211, 44923, 44539, 44053, 43459, 42751?\nAnswer: 41923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2 and 830194999377.\nAnswer: 830194999379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1735456 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 63274?\nAnswer: 2, 17, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -2\/7*w**3 + 2\/7*w**5 + 0 - 4\/7*w**4 + 4\/7*w**2 + 0*w = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 2, r: 1, m: 2, f: 2, j: 1, a: 4}. What is prob of picking 2 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1337814 is divided by 684?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0005436 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 3 - s**3 - 2*s**2 + 2*s**3 + 2*s**2 - 3*s. Let b be g(2). Solve 4*c = c + b*p - 3, 3*c = 3*p + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5\/(165\/7))\/((5005\/66)\/65).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -803536, -803528, -803520, -803512, -803504?\nAnswer: -803496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 434 is divided by 177.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 4102240, 4102286, 4102416, 4102672, 4103096?\n\"Answer: 7*x**3 - 3*x + 4102236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.4, -35.6, -0.1, -4898\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 222671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gsssgsssgss. What is prob of picking 1 g and 2 s?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 479, 4028, 13653, 32390, 63275, 109344?\n\"Answer: 506*l**3 + 2*l**2 + l - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 5*p - 9 = -300, k + 4*p = 139. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -13*f - 2. What is m(-2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.554488 + -0.054488. Let l = 3 - 2.8. Let y = l + 1.8. What is the closest to -1 in w, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of -n**2\/2 - 2*n - 2. Let v be f(-4). Is 0 - 2 - (-78)\/v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6692479, -6692482, -6692485?\nAnswer: -6692488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1764 + -1779. Suppose 0*p - 2 = -p. Let h(z) = 57*z + 15. Let n(k) = 8*k + 2. Give p*h(w) + s*n(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -209*x + 2. Let q be n(0). Is q >= 0.0551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -5*i + 2*d, 2*d = 4*i - 5 - 3. Suppose 6*f - 3*f - 5*j - 5 = i, -5*j = 3*f + 5. Solve 3*a + 3 = v + 4*v, 4*v + 2*a + 2 = f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 278842 divided by -1356\nAnswer: -139421\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -6.9 - -6.804. Let u = s - 35.904. Let x = 188\/291 - -2\/97. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.313 to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1353 (base 8) to base 2\nAnswer: -1011101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 - 3*i**2 - 4*i - 4. What is the smallest common multiple of 11 and d(-3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 18, 28, 38?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 9040 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of 19*i**4\/12 + 19*i**3\/6 - 20*i**2 + 46*i. What are the prime factors of k(2)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151\/315708948 and 121\/12.\nAnswer: 315708948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/4, 2\/17, 2, -2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 4*b - g, b - 6*b - 23 = g. Let i(s) = 2*s + 59. Let f be i(0). Let p(t) = -3*t - 185 + 56 - t**3 - 6*t**2 + 63 + f. Calculate p(b).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 242 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 40, 109, 234, 415?\nAnswer: 652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 471667 is divided by 4517.\nAnswer: 1899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 less than or equal to -2\/6547907397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -1016*m**2 - m - 2. Let f be -2 - (2 - 4) - 2. Let y be i(f). Let p = y + 32467\/8. What is the common denominator of 28\/5 and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 (base 13) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-532)\/(-14)*((-2)\/12)\/((-24)\/144)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 - ((37 - 61) + 66)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the third derivative of -p**4\/12 + 12*p**2 + 2*p. Let u(c) be the third derivative of c**4\/8 + 3*c**2. What is u(r(l))?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 57717228293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 133\/70530 and 11\/45.\nAnswer: 211590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*l - 3*l - 1 - l)*(-3 + 0 + 6)*(-825*l - 913*l + 654*l)*(-2 - 2 + 2) in the form h*l**2 + i*l + u and give h.\nAnswer: -6504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*o + 5 - 5 + (-2 + 2 + o)*(-2 - 2 + 2) + 22*o + 5*o + 15*o)*(2*o**2 + 0*o**2 - o**2) - 14 + 14 - o**3.\nAnswer: 37*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*o - 51*o - 17*o**3 - 51*o + 156*o.\nAnswer: -17*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1172699.\nAnswer: 11, 19, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 15016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3145365933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 59423451049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 43260.69mm in nanometers?\nAnswer: 43260690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*p + 1472 - 11876. Calculate the lowest common multiple of 459 and p.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwcv when four letters picked without replacement from {h: 1, c: 1, r: 1, v: 6, w: 4}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/3, -96, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(228)\/(sqrt(12)*-1) + -5.\nAnswer: -5 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 246 - -21?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 103, 101, 99, 97?\n\"Answer: -2*r + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 416 and 23972.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(sqrt(13) + 0)**2 + sqrt(39)\/(sqrt(9)\/sqrt(3)).\nAnswer: -39 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 + -119 + (17 - (-6 - -1 - -1))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -m**2 + m + 8. Suppose 0 = -5*c + 7*c. Let h be a(c). Solve -f - h = -5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 4*i**3 + 8*i**2 - 20*i - 24 = 0?\nAnswer: -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-13)\/(-6) - (124\/24 + -5). Suppose -4*t = -u*t - 8. Suppose 0*a - t*a = -88. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/((3 + -17)\/(-7)). Solve d - 4*n + 12 = 0, 2*d - d - n = v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -7.705 and -4?\nAnswer: 3.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/8*1)\/((-468)\/216)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**5\/2 + g**4\/2 + 3*g**3\/2 - 5*g**2\/2 + g.\nAnswer: -g*(g - 1)**3*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 3*w - 26, 4*w - 29*m - 8 = -25*m. Solve 5*p - w = 4*b, -11 = 4*p + 3*b - 29 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g = -2, x + g - 24 = 5. Let r(h) = h**3 + 5*h**2 - 6*h. Let s be r(-6). What is the least common multiple of x and -1 + -2 + s + 33?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*s + 6*s + 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 (base 14) in base 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 209049 and 73695?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1433948 + 2693948. What is g rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from djdhrhjjudrj. What is prob of picking 1 u, 1 j, and 2 d?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = -2*s**2 - s + 3. Let u(t) = -32*t**3 + 26*t**2 + t + 5798. Let q(n) = u(n) + 6*y(n). What is the derivative of q(l) wrt l?\nAnswer: -96*l**2 + 28*l - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 98798\/247145 - -12\/49429. Solve -s*n + 2\/5*n**2 + 2\/5*n**3 - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-2)\/10)\/(28\/(-30)). Let o = 6 + -1. Suppose 15 = -o*g - 5*x, -5*g + 4*x + 7 + 5 = 0. Is g equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -5, -6, -1, 16, 51?\n\"Answer: v**3 - 3*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 52367130313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of 0*y**4 - 1\/15*y**5 + 0*y - 38\/3*y**3 + 0 - 44*y**2 - 1\/120*y**6. Differentiate w(l) wrt l.\nAnswer: -3*l**2 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/10))**(-2\/41)*r**(4\/7)*r**17 assuming r is positive.\nAnswer: r**(25236\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h - 16 = -11*h. Let v(g) = g**3 + 3*g**2 - 4*g + 3. Let q be v(h). Factor f + 1 + f**2 - q*f**2 + 1 - f**3.\nAnswer: -(f - 1)*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2)*0)\/1. Does 23 divide (-49)\/(-1) - (u - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7.6 - -7.81. Round d to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = s - 0. Is (-1)\/(s\/1784*-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -110110 - 11101101111111101?\nAnswer: -11101110000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*j**2 - 2 + 2)*(-j + 3*j + 8*j).\nAnswer: 50*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ks when two letters picked without replacement from xkxys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/((-21)\/(294\/28)). Which is the nearest to -2.6?  (a) 0.3  (b) 1\/6  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ddodldgdogll. Give prob of picking 1 l and 2 g.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -16*((-9)\/6)\/3. Suppose -2*n = -0*n + a. Put n, 4, -2 in increasing order.\nAnswer: n, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 + 10)*(-30)\/24?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*d = 29*d - 45. Let y be 1\/((-520)\/(-144) - (-1)\/d). Which is the closest to -4\/7?  (a) y  (b) 0.5  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.2 in 70, -0.1, -0.2, -2\/119?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c = 10 - 14. Calculate the greatest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 384233309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 67358 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: Suppose 0 = -5*s + l - 3*l + 660, 0 = -s - 3*l + 119. Suppose -6*p = -s - 190. Is p a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 3*n**2 - 4*n - 1. Give y(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 15566 (base 7) in base 15?\nAnswer: 148e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4378 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2 + 0)*(-4*b - 4*b + 6*b) - 2*b + 2*b - 2*b + 2 - 2 + 2*b)*(5 + 1 - 5) + (-b + 4*b - 4*b)*(0 - 2 + 0) + 0*b + 0*b + b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -q**3 - 21*q**2 + 37*q - 14. Calculate w(-23).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-4 - (2 - 1))) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2958342ml to litres.\nAnswer: 0.0002958342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 34*c**2 - 349*c.\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 722*w + 50. Let d(n) = 722*n + 40. Determine -5*d(o) + 4*x(o).\nAnswer: -722*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lttt when four letters picked without replacement from ltltttllltllll.\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(80) - (1 + sqrt(5))**2*5 - (sqrt(10)\/(sqrt(12)\/sqrt(6)) + 2)**2.\nAnswer: -39 - 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 10 - 3\/((-27)\/9972)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.399678 millennia to years.\nAnswer: 399.678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 51 + -36. Let j be (-18)\/v*10\/(-3). Let z(t) = -t**3 + 4*t**2 + 3*t + 1. What are the prime factors of z(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) - sqrt(20)\/sqrt(4)*2) + -5 - -1*sqrt(245)*-5.\nAnswer: -36*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 770 and 1050?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r = -17 - 10. Let g(k) = -k**2 - 5*k + 5. Let s be g(-5). Let c(u) = -3*u + 5. Let n be c(s). Which is bigger: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from jbjjjjjjbjj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -11*b**3 + 4*b**2 + 10*b - 7. Is w(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-28)*(5 + -4). Let j = v - 25\/21. Let s = -210 - -1892\/9. What is the closest to -3 in s, -0.4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5931\/17 - 349. Let j = 3220 + -3215. What is the second smallest value in j, -5, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -8*n**2 - 2*n - 1. Let b(w) = -w**3 - 9*w**2 + 12*w. Let u be b(-10). Let s = 17 + u. Let k be (s\/(-6))\/(2\/(-4)). Determine h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1052*x - 885493000 = -1059*x. Round x to the nearest one million.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u + 2*u - 2*b = -834, 3*u - 4*b = 816. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 68631 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is i in 4*i**4 - 2760*i**3 + 349492*i**2 + 43679760*i + 1001849104 = 0?\nAnswer: -41, 386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 941.8272ml?\nAnswer: 0.9418272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -3 - (-3 - -8)*113. Let a = -2289\/4 - v. Let j = 13\/10 - 104\/5. What is the common denominator of j and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -5*t**2 - 10*t - 9. Let b be g(-8). Is (-7)\/(b\/123 - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 2 + 10 + 121. Let j = a + -72. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5.84 - 6.84. What is the closest to -1 in 1\/8, -0.6, -3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 826005, 1652000, 2477997, 3304002, 4130021, 4956060, 5782125, 6608222?\nAnswer: 7434357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (106\/2915)\/((-2)\/10).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g - 2. Let r be q(-3). Suppose -9*k + 41 - 5 = 0. Suppose 4*f - r*n - 126 = 38, k*n = 2*f - 84. What is the highest common factor of f and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64\/85 - -6\/17. Which is the smallest value?  (a) x  (b) -2\/41  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9\/(-221) + 25\/(-325).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 607 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -4  (b) -27\/8  (c) -5  (d) -0.2  (e) -346\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 4503124 and 736.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (26*t**5 - 5*t**5 + 97*t**5)*(5 + 0 - 4)*(-1 + 0 + 0).\nAnswer: -118*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.3  (b) -1  (c) 3  (d) 12  (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.04 in 3\/4, 0, 2\/15, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 1 o when two letters picked without replacement from {b: 8, d: 6, o: 3, u: 1, x: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -143\/60 and -127\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 11 = 4*a, -2*y = -0*y - 3*a + 33. What is the units digit of 2\/(-5) - 216\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11 + -12.6. Let q = 15999630.9 + -15999632.49999927. Let m = q - h. What is m rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 8 = 0, d = s + 3*s + 10. Suppose 4*j - 2*k = -4, 2*j = d*k - 0*k - 4. What is the closest to j in -3\/2, -2\/7, 0.5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 0.002033 centuries?\nAnswer: 0.0002033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -3830*l - 3828*l + l**2 + 7658*l. Let t(c) = 30*c. What is d(t(i))?\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 36 - 10. Suppose 52*u = 12*u + 5200. Calculate the greatest common factor of s and u.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = s**3 + 4*s**2 + s + 7. Let j be a(-4). Suppose -5*z - 11 = -4*k, -k + 5*z = -j*k + 13. Solve k*h - 4 = 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 62917 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -187 + 12?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -24 - -5. Let w = s - -28. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 128 = -128 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 318533.\nAnswer: 37, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 66 = 86 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1, -757, -0.3, -2\/9, 0.14, -5?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uib when three letters picked without replacement from {l: 1, i: 1, b: 2, e: 1, y: 1, u: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the first derivative of l**3\/3 - l**2\/2 + 6*l - 7. What are the prime factors of n(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**2 - 5*g + 1. Suppose -4*i + 8*i - 20 = 0. Let n be m(i). Solve -6*c = -7*c + n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*k**2 - k**2 - 3*k**2 + (6*k - 9*k - 7*k)*(-60 - 4*k + 60))*(11*k**2 + 33 - 33).\nAnswer: 418*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 2*l**2 - 17*l - 7. Let n be u(9). Let c(q) = 1 - 7 + 7*q + 3 - 2*q**n. Determine c(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*a - 4*a + 0*a + 4*a)*(2*a - 2*a - 3*a) as z + d*a**2 + q*a and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4 in -1.89, -27, -3\/10?\nAnswer: -1.89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -33151?\nAnswer: -5\/33151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19, -7, -37939, -1.\nAnswer: -37939, -7, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + j + 3*j = 1836, 4*t + 1822 = -3*j. Let r = t - -820. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2361 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2*(-4 + 158\/40))\/(516\/1376).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 4\/1617?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -12221022?\nAnswer: -12221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 12 + ((-6)\/1)\/2. Suppose 0 = -2*n + f + 3. Suppose -x + n = -5*b - 18, 0 = -4*x + 2*b + 24. What is the remainder when 10 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195660878 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 125585 is divided by 78?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 2 = g - f, 5*g = 5*f + 40. Suppose -t - 2*h + 22 = 0, 0*t - 62 = -3*t - g*h. What is the lowest common multiple of t and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (42\/(-42))\/(2 + -7)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-196)\/(-8)*(2 - 0). Calculate the highest common factor of v and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/12096 and 29\/12768?\nAnswer: 229824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8515 rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1644 by 137.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -13\/3 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = -2*d**3 - 4*d**2 + 2*d + 3. Let b be k(-3). Suppose -4*s = -b + 3. Factor -2*p**s - 10*p + 8 - 4 + 19*p**2 - 11*p**2.\nAnswer: -2*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.5023 + 3.5023. Let t = 1.89 + 0.11. Which is the closest to 0?  (a) m  (b) 3\/7  (c) t  (d) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -4558*i - 474091. Calculate v(-104).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 31627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**3*k\/k**(-1\/2)*(k\/(k\/(k**5\/k)))\/k**(1\/6) assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 816 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109 + 1 = 22*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9 - 10 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(-28) - 46\/(-14). Factor c + 2*c**2 + 2 - 2*c**3 - p - c**4 + 0 + c**5.\nAnswer: (c - 1)**3*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12.9 - -12. Let r = w - -1. Do r and 0.2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -25 in -2\/53, 0.4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 73924221.\nAnswer: 3, 7, 3520201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2674*-1.4.\nAnswer: 3743.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/157856 and 127\/12.\nAnswer: 473568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = n**2 - 5*n - 3. Let f = -9 + 15. Let r be z(f). Suppose -11 = r*m - 35. Solve -5*c = -c + m, 0 = 4*u - c - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = 2*q - 7 - 8, -3*q = 3*z. Suppose 7 = -4*b + v, 2*v - 1 = -z*b - 13. What is the common denominator of (-362)\/60 - (-1 - b\/5) and 59\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 6*w - 10 = 4*w, 4*w - 20 = v. Let p be 4\/(-14) + 144\/14. Suppose p = c + 2*y, c = 4*c - 2*y + 2. Solve 2 = c*x - v for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-12)\/(-1) - (-32)\/(-8). Let w be (2\/(-12) - -1)*o\/10. Suppose -8\/9*l + w + 2\/9*l**2 = 0. What is l?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -440 by -1.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1\/3)\/((-1)\/(-6)). Suppose 0 = -5*d + t, 2*d + z*t = 3*d. Suppose 3*g + 83 - 251 = d. Calculate the highest common factor of 14 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 + -45. Let l be ((-15)\/4)\/((-15)\/c). Is (-3)\/2 - 275\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes before 8:49 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a millennium in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.3  (b) 0  (c) -204\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) be the second derivative of -3*r**2 + 0 + 1\/3*r**3 - 2*r. Let j(m) = -m + 1. Let f(z) = a(z) - j(z). Give f(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3)\/(-58)*(1060\/15)\/53?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/4)\/(71\/1278)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12 = -48*m + 45*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4624735 and 70?\nAnswer: 64746290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -8*-1.1\nAnswer: 8.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**5\/7 + 136*v**4\/7 + 90*v**3\/7 - 89100*v**2\/7.\nAnswer: 2*v**2*(v - 22)*(v + 45)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 6 + (-62)\/10 + (0 - (-255)\/25). Let v(o) = o**3 - 11*o**2 + 4*o + 53. Give v(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -15830, -63305, -142430, -253205, -395630, -569705?\n\"Answer: -15825*x**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 114484347?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) be the third derivative of 49*y**6\/216 - 7*y**5\/36 + 5*y**4\/72 + 13*y**3\/2 + 72*y**2. Let v(m) be the first derivative of l(m). Factor v(b).\nAnswer: 5*(7*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 237 minutes before 4:05 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2035 - -2070.27. What is v rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(g) = -213*g - 899. Give d(-5).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.07 and -268.094.\nAnswer: -18.76658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1216 and 399.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26 = -3*k - 11 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b**(-1))**28)**(-35) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 27 + -434. Let k = n - -591. Suppose -k = -4*i + 4*z + 108, -5*i - 4*z = -356. What is the greatest common divisor of i and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*g - 16*g**2 + g - 8*g**3 + 2*g wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(216)*-1 + sqrt(216))\/(sqrt(75)*1) - -6*(sqrt(18) + -1)*-1.\nAnswer: -18*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.4 * -75156.\nAnswer: 330686.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve u**5\/5 - 1251*u**4\/5 + 404154*u**3\/5 - 8064374*u**2\/5 + 7459089*u + 9153045 = 0.\nAnswer: -1, 11, 615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -35009.982 - -34940. What is p rounded to one decimal place?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5937558 a multiple of 674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 736212.\nAnswer: 2, 3, 19, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**2 + 23*u - 74. Let w be v(19). Solve 8*t + 10*t**4 - 8\/5 - 8*t**3 - 42\/5*t**w = 0 for t.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 17*s**2 + 183*s - 183*s in the form m*s**2 + f*s + d and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -2*i**3 - i**2 - 57. Let y be z(0). Let k = y + 59. Let v = 3.6 - 3.6. What is the closest to 1\/4 in -1, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 9*m + 24 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 10*z**3 - 247*z**2 - 254*z + 1479. Let o(j) = 9*j**3 - 247*j**2 - 254*j + 1480. Let x(l) = 16*g(l) - 18*o(l). Factor x(p).\nAnswer: -2*(p - 248)*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -37.18102958 and -0.5?\nAnswer: 36.68102958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 189 = 3*s, -15*s - 3*g = -8*s - 431. Calculate the highest common divisor of s and 15407.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (6\/(-12) - -3)*16\/5. Let g = -7 + 13. Solve 7 = -3*n - 2*c, -g = -4*n + 2*c + a for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r**2 - 11*r - 24. Let b(p) = p**3 + 8*p**2 - 3*p - 11. Let n be b(-8). Let g be f(n). Solve 0 = -l - 4*h + g - 19, -3*h = 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 620167826 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = z**3 + z**2 - 36*z - 37. Determine t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = n - 114, -4*n = -4*o - 0*n + 104. Let t = o + -8. Calculate the smallest common multiple of 14 and t.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 148 and 232249.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -277*j**2 + 553*j**2 - 686*j**2 to the form r + y*j + q*j**2 and give q.\nAnswer: -410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*d - 372 - 380 + 763 + 6*d - 4*d + 0*d - d - 4 + 4 + (-d + 2*d - 3*d)*(1 + 0 + 1) + 5*d + 0*d - 3*d + 2*d + 2 - 2.\nAnswer: 6*d + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 107 and 1391?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -r**4 + 107*r**3 + 1401.\nAnswer: -4*r**3 + 321*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 - 7. Suppose t + 9 = -5*l + 3*v, -4*l - 12 = -2*v. Let s = 124 - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4671 or -10?\nAnswer: -4671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -4*(2 + -3)\/(-2). Calculate the common denominator of 56\/3 and 10\/j*182\/(-175).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*j - 182291 = 9*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = a**2 - a + 2. Let g be j(0). Suppose 3*u = g + 4, u = -5*i + 8808182. Suppose -5261636 = h - i. What is h rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.04 + 0.56. Let g = 0.4 - h. Let j = 3\/13 + 1\/52. Which is smaller: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*w**2 + 0*w**2 - w**2)*(-6 - 16*w + 24*w - 12*w).\nAnswer: 12*w**3 + 18*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -288 = -4*m + 4*q, 0 = 11*q - 9*q + 4. List the prime factors of ((-60)\/m)\/((-4)\/1540).\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 1 - 5 + 0 - 19*s**2.\nAnswer: -19*s**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 + -4. Let x = t - 3. Solve c + c = -x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55, -54, -53, -52, -51?\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -t**3 - 3249*t**2 + 99*t - 222.\nAnswer: -6*t - 6498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 35203 and 25991.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 u when two letters picked without replacement from qxqqkkukuuqukuquk?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide 55447 by -1.\nAnswer: -55447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 82 minutes before 9:23 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = 9*y**2 + 28*y + 40. Let a(h) be the second derivative of h**4\/3 + 7*h**3\/3 + 10*h**2 + 67*h. Let o(w) = 5*a(w) - 2*d(w). Factor o(c).\nAnswer: 2*(c + 2)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 2 + 2. Suppose x + 0*x - b*u - 8 = 0, 5*x - 40 = -4*u. Let o be (210\/7)\/6 - 3\/3. Solve o*q + x = -0*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.5 times 83.9326?\nAnswer: 209.8315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -329*y**4 - 1107*y - 1889928.\nAnswer: -1316*y**3 - 1107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 55\/174 and -7\/667.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1103 is divided by 164.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -8*s**2 + 6*s**2 - 10*s + 17 + 3*s + s**3 - 7*s**2. Let o be (-3)\/(-6) + (-21)\/(-2). Is 14 a factor of v(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 + 16*v**2 - 2. Let w(o) = o**2 - 23*o + 26. Let g be w(21). Let y be n(g). Is y*(0 + -3)*(-167)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -817*z - 352332 = -434032 for z.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 494118a2 + -2?\nAnswer: 494118a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-60)\/42)\/10)\/(2\/(-182)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -931445 and 0.4?\nAnswer: 931445.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5650, -5611, -5574, -5539, -5506?\nAnswer: -5475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(931)*-1.\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**5 - 187*r**4 - 390*r**3 + 2228*r**2 + 7528*r + 6048.\nAnswer: (r - 189)*(r - 4)*(r + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4.155 + 5.155. What is the closest to -1\/4 in 10, -3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*-1103948.14.\nAnswer: -3311844.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 4*z - 27 = -y, -y + 2*z - 1 = 0. Which is the smallest value?  (a) 1  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4985 or -37789?\nAnswer: -4985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13, -14, -17, -28, -53, -98?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 96 a factor of 4128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 63647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -26383242.5 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-189)*19173\/83?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 349402710.\nAnswer: 2, 3, 5, 941, 12377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 206027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (3\/(-2))\/((-1)\/(-2)). Let n be (-10)\/15 + 4\/h. Let g = 52\/329 + 6\/47. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**2 - q - 8. Let y be z(4). Suppose t + 5 = y. What are the prime factors of t*1 + (-25)\/(-1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2 + 13. Let b = t + -5. Calculate the remainder when 19 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/3 or -92.83292?\nAnswer: -92.83292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 9732413161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*s**2 - 9*s**3 + 19*s**3 - 7*s**2 - s**2 - 13*s**3.\nAnswer: -3*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1666?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*o - 4*z - 4910, 4109 - 824 = 2*o - 5*z. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/2 in -3, 1\/9, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h - 1. Does 14 divide m(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**2*w*w\/(w\/(w\/w**1)))**(1\/3)\/((w*w**(-1\/5))\/w*w\/(w**(-4)\/w))**(-46) assuming w is positive.\nAnswer: w**(4022\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 - 2 + 2*g)*(4*g + 0*g - 2*g) - 5*g**2 + 2*g**2 + 4*g**2)*(7*g**3 - 6*g**3 + 6*g**3 + (-6*g**2 + 2*g**2 + g**2)*(-1 - g + 1)).\nAnswer: 50*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 212 - 199. Suppose 3*o - 35 = 115. What is the remainder when o is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -511.52694 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 598*k**3 + 625*k**3 + 327 - 1224*k**3 - k to the form y + w*k**2 + t*k + p*k**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 4*p - 6 = 0. Suppose -3*u - 5*k + 17 = 0, 2*u + 0*u = -3*k + 10. Let j = u - p. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 72*g - 172*g + 6.\nAnswer: -100*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3 + -3 + 0 + -5. Let x(a) = a**2 + 6*a. Let g be x(z). Let b(v) be the first derivative of v**3\/3 + 5*v**2\/2 - 4*v + 4. Give b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:08 PM and 12:14 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6494.0929 - 1.04736.\nAnswer: 6493.04554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 146081230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.46  (b) -2\/3  (c) -0.2  (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) be the first derivative of 0*q**3 + 0*q**4 + 1 + 0*q + 5\/2*q**2 + 2*q**5. Find the second derivative of y(m) wrt m.\nAnswer: 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -14544908.8604457 - -5979823.6604478. Let k = 8565074.2 + x. Let y = -11 - k. Round y to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8221 is divided by 78?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of u**2 - 50*u - 202*u + 2*u**2 + 34*u**3 - 42*u + u wrt u?\nAnswer: 204*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3 + 0. Let d = -42 + 143. Suppose d = n - 5*o + o, x*n - 4*o = 311. What are the prime factors of n?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -6?  (a) -1\/99  (b) -0.2  (c) 2  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -71118, -71126, -71136, -71148, -71162, -71178, -71196?\nAnswer: -71216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 13*i - 15*i. Suppose 35 = 3*r - 4*p - 21, -i*p = 20. Suppose -5322 = -r*a + 6*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 divided by -56353.\nAnswer: -10\/56353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -f**3 + f + 2. Let n(c) = -c**3 - c - 1. Give l(u) + 2*n(u).\nAnswer: -3*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 34.949 + -35. Let m = 4.949 - y. Let u be ((-3)\/(-9))\/(10\/4). Which is the second biggest value?  (a) m  (b) u  (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2 - 2 + 99*k**2 - 867*k**2 - 480*k**2 to the form j*k + i*k**2 + g and give i.\nAnswer: -1248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -417 - 8*a**2 + 417 + 67*a**2 as r + z*a**2 + f*a and give z.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**2 + 28*f - 47. Let p be w(2). Suppose 1 = 5*v - 9. What is the highest common divisor of v and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7*x + 13*x + 6*x - 28*x + 8*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 divided by -208144?\nAnswer: -1\/52036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 112  (b) 0.3  (c) -8  (d) 0.100613\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 12:04 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 9 = 0, 4*j + b = -3*b + 20. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 223 (base 14) in base 11?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36215.\nAnswer: 5, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 137448386233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*m**3 - 195*m**3 + 65*m**3.\nAnswer: -108*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -33*g + 16. Let i be q(-5). Let x be 6\/4*992\/(-12). Let c = i + x. Is 19 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3080841*f - 622096 with respect to f.\nAnswer: 3080841","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4617 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-51)\/(-34))\/(10\/10).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {l: 10, t: 2, k: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 174 and 30189?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57 = -22*r + 19*r + 4*s, 2*s = -r + 1. Let y(b) = -8*b**2 - 4*b + 1. Let f(z) = -24*z**2 - 11*z + 3. What is r*y(a) + 4*f(a)?\nAnswer: -8*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 20015 + -13862. List the prime factors of h.\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -3981 - -3995. Let v = -3 + 4.4. Let h = v + -0.9. What is the closest to 2 in n, -0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = v + 2. Let c be b(2). Suppose c*n - 58 + 10 = 0. Suppose -3*a - 2*a - 5*i = 0, 12 = 2*a - 4*i. Solve -4*g = n, -a*g - 2 = 3*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 77437\/858 - -83\/143. Let v = s - 91. Let y be (-2)\/3*3\/4. What is the third biggest value in v, y, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -4164\/2405 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -107680188?\nAnswer: -107680188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 25\/35 + 4\/14. Let s = 3 - y. Is -2*((-77)\/s - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 173 + 120 + 158 - 404 - j**3.\nAnswer: -j**3 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4434339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 6238.62 grams?\nAnswer: 6238620000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 114200 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of -r**8\/84 + 8*r**7\/105 - 2*r**5\/3 + r**4\/6 + 4*r**3 + 2*r**2 + 4. Solve q(x) = 0 for x.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 + -6. Let h(q) = -q - 7. Let i be h(v). Let u be (-150)\/(1*i\/12). What is u rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -857 - -4287\/5. Which is the closest to 0?  (a) 0.5  (b) z  (c) 58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -153.2141 - -152.7740876. Let f = -0.44 - y. Round f to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*(2 + sqrt(1377) + -2)**2)*-3.\nAnswer: 8256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = -2*j**2 - 15*j + 3. Suppose 3*n = 2*n - 9. Let m be t(n). What is the units digit of 2\/(-12)*1 - 1108\/m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4\/9 in -7\/10, 5, -0.2, 6\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 9*m**2 + 5*m. Let b be 2\/(-9) + 180\/81. Suppose 2*o - 3*u + 39 = 0, -o + b = -2*o - 2*u. Let j(a) = 22*a**2 + 12*a. What is o*z(i) + 5*j(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 6*s**2\/7 - 3153*s\/7 + 225.\nAnswer: 3*(s - 525)*(2*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 11033\/10 - 1103. Which is the closest to 1\/4?  (a) 0.5  (b) 5  (c) w  (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9055550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((45\/6)\/(-5))\/(8\/16). Is 24 a factor of (19312\/102)\/((-2)\/m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*-2*sqrt(17)*5)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 32099518 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 83.893627 rounded to one decimal place?\nAnswer: 83.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 4*j - 22 = 8, 5*x = 2*j. Suppose -d = -x - 0. Solve -5*b + d*b = -9, 15 = a + 5*b for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + 0.2. Suppose 0 = 20*d + 61 - 48 - 53. Which is the closest to l?  (a) d  (b) -4  (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 7c8c + 23?\nAnswer: 7cb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(1\/4)*l**0)\/(l**(-5)\/(l**(-2)\/l)))**(-3\/2) assuming l is positive.\nAnswer: l**(-27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 119 = -5*k, 3 + 35 = 28*a - a - 4*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f\/(f*f\/(f*f*f**(-2\/61))))\/f*f*f**(-3\/7)\/f*f)**(-9\/2) assuming f is positive.\nAnswer: f**(-1035\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 - 13.4. Let g = 0.21 + 0.03. Let z = g - 10.24. Which is the third smallest value?  (a) -5  (b) m  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 619?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -295 divided by 289884\nAnswer: -295\/289884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.074 and 0.132.\nAnswer: -0.009768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p**5\/2 - 4985*p**4\/2 - 603471*p**3\/2 - 3436603*p**2\/2 + 301736*p + 1720794 = 0. Calculate p.\nAnswer: -4861, -118, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(484) + sqrt(484)*-1)\/(sqrt(72) + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -5905365, -11810781, -17716203, -23621631?\n\"Answer: -3*a**2 - 5905407*a + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -5, 138.\nAnswer: -5, 1, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*g + 230*d - 229*d = -477, -2*g - 5*d + 2 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 15 and 105846507.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*a + 44 = -2*c, -129*a - 25 = -125*a + c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 13779011129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.02 + 458.\nAnswer: 457.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -30  (b) 0.14  (c) -6044\/5  (d) -0.3  (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 25279, 25277, 25273, 25267?\n\"Answer: -d**2 + d + 25279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 448046161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2644429.\nAnswer: 2644429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -4*o**3 + o**2 + 3*o + 3. Let s be (-3)\/(-3 - 0 - -2). Let l be p(s). What is l rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1230 + -1229. What is the nearest to -2\/9 in -2\/5, o, 8\/109?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 396 and 504834396.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/6 - 1660\/(-48). Let t = 34 - q. Suppose 0 = 6*b - 2*b + 4*l, -5 = 3*b - 2*l. Put -0.3, b, t in descending order.\nAnswer: t, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 31, -288, 0.2 in descending order.\nAnswer: 31, 0.2, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -70\/1053 and -5\/39159?\nAnswer: 4581603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -45614 - -66315. Is 69 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 43 = 4*d - 15, -2*d = -r + 16. Let a(q) = -3*q + 4. What is the remainder when 41 is divided by a(d)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -2*o**2. Let s(h) = -306*h. Suppose -5*t = -15, 2*t + 0 = 2*d - 4. Let c(a) = 36*a. Let j(y) = d*s(y) + 42*c(y). Calculate j(p(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the second derivative of 2*m**3\/3 + 2*m. Let k(r) = 6*r**2. Let j(a) = 4*a**2. Let s(y) = -8*j(y) + 5*k(y). What is g(s(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 7*o + 52*o + 0 - 18*o.\nAnswer: 41*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the third derivative of a**5\/5 - 3*a**4\/4 - a**3\/3 + 31*a**2. What is the second derivative of u(p) wrt p?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 41*d**3 + d**2 - 3*d + 3. Let t(z) = 7*z + 57. Let c be t(-8). Is 6 a factor of y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/(-2)*20\/10 + 50 + -79\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 209774 is divided by 2206.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 259558891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 5*h**2 + 57*h + 11. Let q(d) = -5*d**2 - 58*d - 11. Let k(n) = 5*m(n) + 4*q(n). What is the tens digit of k(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xrrxprrrrprrrruw. What is prob of sequence ru?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = z**3 + 6*z**2 - 2*z - 5. Let g(x) = -x**2 - 13*x - 4. Let v be -1*2*(-182)\/(-28). Let a be g(v). Calculate the remainder when l(a) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -357*f - 1067. Let y be l(-3). Let o(j) be the second derivative of 0 + 1\/10*j**6 + 19*j + 0*j**5 + 0*j**3 + 0*j**2 - 1\/4*j**y. Solve o(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -436*l - 395*l - 779*l - 1 + 2816*l - 741*l.\nAnswer: 465*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - -1247.\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Determine r, given that -r**4 + 3*r**3 + 63*r**2 - 67*r - 126 = 0.\nAnswer: -7, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*h + 81 = 0, h + 27 = -5*y + 476. Find the third derivative of -1128 - 67*w**2 + y*w**6 + 1128 wrt w.\nAnswer: 10680*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 618 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -706 + 57891\/82. Let t(x) = -4*x**2 + 4*x + 169. Let j be t(7). Which is bigger: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 2 f, and 1 v when four letters picked without replacement from fnnnnnvnnvfffffrff.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00044 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - (-9 - -4)) + (5 - 11 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 229, 5, 4, -5, -51, -3, -2 in descending order.\nAnswer: 229, 5, 4, -2, -3, -5, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -15*m + 107. Calculate the remainder when 59 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from {c: 3, l: 2, r: 1, t: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1409 + 1411. Solve -2*p - 2 = -3*z + z, 0 = 2*z + v for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 + (-5274)\/(-12) - (-1)\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) be the first derivative of -51*v**5\/5 + v**4 - 4*v**3\/3 + 47*v**2\/2 + 4*v + 2365. Find the second derivative of y(o) wrt o.\nAnswer: -612*o**2 + 24*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of -2*1013654\/(-100) - (-72)\/(-900).\nAnswer: 11, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) be the first derivative of 7 - 10*o + 1\/2*o**2. Let i be g(12). Solve -i*s - 5 = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 2:16 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4963, 4867, 4773, 4681?\n\"Answer: t**2 - 99*t + 5061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 246 minutes before 8:28 AM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-8)\/40 - (-1954951)\/5. Suppose 3*f - 44208 = z. Let g = -8934 - f. Round g to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000567770955 to seven decimal places.\nAnswer: 0.0000568","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-4)\/(-30) + 107\/(-15). Let i = 9 + y. Suppose -i*w + 9 = -w. Solve 2*t = -5*f - 13, 5*f = -3*t + f - w for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*c**2 - 5694*c + 3553605.\nAnswer: -3*(c - 495)*(c + 2393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + 5*r = 3*r, 6 = -b - 5*r. Let p be (b - 3)*2\/6. What is the closest to -1 in -0.2, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.026  (b) -7  (c) 1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 23*v + 169 = 0, v + 15 - 9 + 5 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.6 - 0.3. Let x = l + -0.7. Let y = -0.08 - -4.08. Which is the third smallest value?  (a) 3\/5  (b) x  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 71803 is divided by 3108.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1\/3 - 1136\/(-12)) + 1. Let r = 110 - s. Does 13 divide -3 + (668\/r - (-8)\/28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 451847171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*t - 3*t - 36 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228143 is divided by 371.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4147755 is divided by 556.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-96 - (13 + -5 + -18 + -11 + 13)) + 5.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5.24 - 3.6. Let f = k + -1.9. Let s = f - -0.260042. Round s to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 352*b = 334*b - 198 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:27 AM and 5:33 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-29 + 21 - 50)*(-n - 2 - 1 + 4).\nAnswer: 58*n - 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m = -m - 5*k - 3, m - 5*k - 18 = 0. Suppose 20 = -2*g + 4*u, 11 + 9 = -4*g + 4*u. Let s(h) = -m*h - h + 3*h + g*h. Let v(b) = 6*b**2. What is s(v(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 926 and 3278966.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 22 + -8. Let u = 13.5 - i. Which is the third smallest value?  (a) 27\/5  (b) -1\/6  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 1 = 5. Let m(o) = -o**2 + 8*o - 5. Let t be m(1). Let j(y) = -8302*y**2 - 1 - 1 - y + 8299*y**t. Give j(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2.16 + 0.06\nAnswer: 2.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is s in -3*s**2\/2 + 1383*s\/2 + 1389 = 0?\nAnswer: -2, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -126*f**3 - 12 + 47 - 137*f**3 + 29 - 6 wrt f?\nAnswer: -789*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29403 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -11. Suppose l = -p + 4 - r, -3 = -l. Suppose 6*z - 4*z - 96 = p. Calculate the highest common divisor of 32 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97320 rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 123344 (base 6) to base 12.\nAnswer: 6554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w + 3*w - 29 + 0 = 2*w - 2*j, 3*j + 4 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = f. Suppose -25*l = 31 + 69. Let r(u) = 3*u + 1. Determine l*n(c) + r(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27856 is divided by 251.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*b**3 - 20*b**2 + 17*b\/2 - 1.\nAnswer: (b - 2)*(4*b - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r**2 + 5*r + 1. Let z be v(4). Let h be (-1)\/(-3)*0 + z. Find the third derivative of -3*t**5 - 2*t**2 + 3*t**h - 2*t**5 wrt t.\nAnswer: -120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 77 - 52. Calculate the remainder when n is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 3 + 1 + 0*w - 7*w. Let l(n) = -3*n + 2. Let t be 2*(-2 + 0)*-1. Calculate t*k(s) - 9*l(s).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 19974 or -5353\/5?\nAnswer: 19974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 325372, 1301191, 2927458, 5204173, 8131336, 11708947?\n\"Answer: 325224*o**2 + 147*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 15 - 9 = 0. Let l(m) = m - 4. Let u be l(x). Is -1 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 25*w - 30*w + 10. Calculate the greatest common divisor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -34, -50, -66?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*t**2 - 1788*t + 10620.\nAnswer: 3*(t - 590)*(t - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/25872 and -157\/8427216?\nAnswer: 92699376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out 10.3 * 0.641.\nAnswer: 6.6023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 63 = -25. Suppose 2*y - 26 = l. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 85 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 88 divide 3011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*j + 4410 = 32*j. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 195 minutes before 1:10 PM?\nAnswer: 9:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 416 divided by 104.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) be the third derivative of -f**6\/120 - 49*f**4\/24 + 499*f**3\/6 + 10*f**2 + 5*f. What is the derivative of p(x) wrt x?\nAnswer: -3*x**2 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -28fb0 (base 16) to base 15\nAnswer: -34b06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 55 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1, 4, -16575, 2 in descending order.\nAnswer: 4, 2, -1, -3, -16575","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -786 = -3*u + 9*u. Let d = 137 + u. Let o(g) = g - 8. Let b(z) = z - 7. Let m(c) = 5*b(c) - 4*o(c). Give m(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -2*v. Let j(a) = -494*a - 508*a - 1052*a + 165*a. What is i(j(g))?\nAnswer: 3778*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1\/123 + -257\/1353. What is the third biggest value in -0.07, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1737540 divided by 90?\nAnswer: -19306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 32593632?\nAnswer: 2, 3, 339517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 times 8.41?\nAnswer: 336.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 231806?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s + 0*s + 3*s)*(5*s**2 - 5*s + 5*s) to the form q + k*s**2 + r*s**3 + m*s and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2 and 323.\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -10 + 9. What is the third biggest value in -4, u, 0.1, -2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 9:18 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 283424475.\nAnswer: 3, 5, 31, 139, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -121 - 16464606?\nAnswer: -16465030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 1759937972 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 1  (b) 1\/6  (c) 5  (d) 0.1619  (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3044576 divided by 2\nAnswer: 1522288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -13 or 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 95264419 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -170*-22474\nAnswer: 3820580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve k - 2*k - 27 = 2*k - 5*h, -5509 + 5512 = h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7919 is divided by 3694?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**3 + 72*k**2 + 203*k - 273. Let t be b(-69). Solve f + 4*q = -15, 19*q = -t*f + 20*q - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2516873701 + 2516873592.99374904. Let b = z - -105.00625. Let d = b - -3. What is d rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 5841.2 + -5841. Which is the nearest to s?  (a) 0  (b) 4\/7  (c) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 17833184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/753 at least as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zmmz when four letters picked without replacement from mmmmmzmzzm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 786*i**2 + 16*i + 8. Let b be (-4)\/(-20) + 348\/10. Let y be (-30)\/b*(0 + 14). Let v be f(y). What is v rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 8*j + 21. Let l be k(-8). Suppose d - 11 = -2*x, 3*x = x - 3*d + l. Solve -7*u - x = 11 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand z**2 - 2 + 0 + 0*z**2 + (-4 + 3 + 2)*(-2*z + z**2 + 2*z).\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p\/(p**(-4\/13)\/p))\/(p\/((p**(-1\/24)\/p)\/p*p)))**(-4\/13) assuming p is positive.\nAnswer: p**(-395\/1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -392 + 623. Let u = 131 - y. Let f be (3 - u\/(-28))*(-14)\/4. Solve 0 = -0*q - f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -3*l**3 - 118*l**2 - 17*l + 1008. Give m(-39).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 214907453 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 55895262*m**5 - 63589990*m?\nAnswer: 1117905240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -86*w**5 + 29*w**4 - 2*w**3 + 3364*w?\nAnswer: -1720*w**3 + 348*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is i in -47*i**4\/3 - 364*i**3 - 2720*i**2 - 17152*i\/3 + 6144 = 0?\nAnswer: -8, 36\/47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-768)\/189 - (-10)\/(-45))\/(69\/644).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 2693*p**3 - p**2 + 1. Let s be z(1). Let g = s - 37717\/14. Calculate the common denominator of g and 99\/(-8) + 1\/4.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q + 2. Let d(z) = -2*z + 2. Determine -5*d(t) + 6*h(t).\nAnswer: 4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(68)\/(sqrt(16)\/(sqrt(16)\/sqrt(4))))**2 + (sqrt(187) - (-1*sqrt(187) - sqrt(187))*-4)\/sqrt(11).\nAnswer: -7*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2 - (2 - (-4)\/(-1)). Let n = 155 - 156. Let m(b) = b. Let s(i) = 5*i - 9. Let w(h) = l*m(h) + n*s(h). What is the derivative of w(j) wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2680.2 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -6 - ((3 - 5) + 1 + -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 72 = 7*d. Suppose 2*n = -d - 2. What are the prime factors of ((-234)\/n)\/((-3)\/(-10))?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (129 - 1148*z - 1124*z + 2289*z)*(-3*z + 4*z + 0*z) to i*z**2 + j + c*z and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6063 = t + 2*x, -2*t - 2*x + 12156 = -3*x. Calculate the highest common divisor of t and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 2, c: 2, e: 2, f: 4, o: 1, g: 1}. Give prob of picking 2 b.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the third derivative of -7*y**4\/8 + 8*y**3\/3 + 21*y**2. What is the first derivative of a(u) wrt u?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0*(6\/(-4) + 2). Let a be (-15)\/6*(-4)\/2. Let n be -1 + a + -1*2. Solve -h - h - n = v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5 + 4 + sqrt(13) + 2 + (sqrt(78)\/sqrt(6) - sqrt(13)))**2.\nAnswer: -536 - 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 49925861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 6007 divide 835472037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 26, 55, 84, 113?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - -8 - (-23 - -28).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 73 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kd when two letters picked without replacement from dhhdhdhddkhkhddhdkd.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - a**4 + (-29 - 9*a + 29)*(-3*a - a**3 + 3*a).\nAnswer: 8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -101, -93, -79, -59, -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 58747 divided by -26?\nAnswer: -4519\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 107\/996 and 11\/2324.\nAnswer: 6972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*q**2 - 3*q**2 + 5*q**2)*(1 - 2 - 5)*(-74 + 27 - 1) in the form r*q + d*q**2 + u and give d.\nAnswer: 576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 87818 and 266.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 65853.88km in meters?\nAnswer: 65853880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + 14*t + 44 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vxxxvxvxxxvvxvxxxx. What is prob of picking 2 v?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -46.53 to the nearest integer.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4538 + -2530. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1202 + -1191. Let x be 1 + 1\/(-1) - -12. Which is bigger: w or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 33, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -43 + 43.01. Let n = 0.588 + -0.078. Let u = r - n. What is the third smallest value in 3\/2, u, 0.3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -389124.47 and 0.3.\nAnswer: -389124.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 243985\/25 - 15\/((-600)\/(-16)).\nAnswer: 3, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = 4*y + 1. Let c be j(-1). Let z = -91.49 + -3.91. Let i = z - -95. Sort i, -0.2, c in descending order.\nAnswer: -0.2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4ae1 (base 16) in base 8?\nAnswer: 45341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express 59*d**3 + 0 + 24 - 61*d**3 in the form u*d + n*d**2 + s + f*d**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 2*j. Let o(t) = -2*t. Let w(f) = -f**3 + 8*f + 100. Let a(h) = 2*o(h) + w(h). Let m(c) be the first derivative of a(c). Determine m(k(x)).\nAnswer: -12*x**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -150 + 149.9. What is the biggest value in 4, b, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - j = 5 - 1, 4*j = -16. Let f(i) = i**2 - 9*i - 31. Let c be f(-6). Suppose c*v = 23*v. Solve r + 3*r = z, 2*x + r - 4 = v for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-23)\/(322\/6))\/((-4)\/34*(-12)\/(-168))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 36 and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**3 - 11*y**2 + 10*y + 17. What are the prime factors of o(21)?\nAnswer: 4637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2, -0.02, -0.068, 2, -2\/5, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n + 1176 = -21983*o + 21786*o, 2*o = -4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6)\/(-4)*(-1)\/12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 19.074 * 8\nAnswer: 152.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(36)\/sqrt(2)*4*3)\/(sqrt(576)*2*3))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (14\/(-224))\/((3332\/(-32))\/17)?\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3.142771 and -0.049?\nAnswer: -0.153995779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 57 or -477?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -132 + 135. What is the closest to 2\/5 in 8, -1, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-6)\/(-9))\/((-2)\/(-6)). What is the third derivative of 5 + 10*d**2 + 9*d**3 - 5 - 8*d**n wrt d?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1529 is divided by 648?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 5\/10*(4 - -2). Suppose -64*y - 153*y**2 - 80*y**z - 83*y**2 - 12*y**4 + 92*y**2 = 0. Calculate y.\nAnswer: -4, -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*l - 23*l - 8*l)*(3*l**3 - 2*l**3 + l**3).\nAnswer: -70*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in 3, -5, -8\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(36)\/(-2*sqrt(1728) + sqrt(12)) - (6*(sqrt(27))**2 - sqrt(3) - sqrt(12)*-4).\nAnswer: -162 - 162*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hccsc. What is prob of picking 2 c?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/((g*g\/(g\/(g\/(g*g**(-20)))))\/g))**(-1\/13) assuming g is positive.\nAnswer: g**(19\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 2876879 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) be the first derivative of -5*m**2\/2 + 36*m + 14. Is n(-24) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (226 + 44916*q - 894 + 225 + 228 + 216)*(0 - 2 + 0).\nAnswer: -89832*q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 136 minutes before 8:21 AM?\nAnswer: 6:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 72*u. Let m(s) = -8*s. What is m(c(y))?\nAnswer: -576*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l + 4. Suppose 4*w = -d - 19, w - 3*d - 8 = -3. What is the units digit of h(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, -15, -16, 1\/2 in descending order.\nAnswer: 1\/2, -1\/3, -15, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 158 - -83. Let m = -213.4 + g. Round m to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*w - 17*w = -3955. Suppose -12*i = -13*i - 294. Let b = w + i. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-28)\/126*2 + (-14)\/(-45) - 238\/240.\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.07 + -2.93. Let r = 376 - 372.89. Let x = -23.11 + r. What is the second biggest value in 0.1, p, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15442809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5103, 5091, 5067, 5025, 4959?\n\"Answer: -w**3 - 5*w + 5109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 783 + -552. Let c = o - 153. Suppose -g + c + 49 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9497?\nAnswer: 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 - 585777*u**2 - 85781623176*u + 600500065648.\nAnswer: -(u - 7)*(u + 292892)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*n = 52*n + 264. What are the prime factors of n?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -11 - -12. Suppose 0 = -2*f + 7*f + 4*i - 42, -4*f = -2*i - 18. Sort f, 0, 3, h in descending order.\nAnswer: f, 3, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:21 PM and 2:30 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 7*(204\/42)\/1. Suppose -h*o + 25*o + 513 = 0. Is 2 greater than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14 - 27 - 8 - 2*w as b + v*w and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z = 2*t + 252, 0*z + 3*t = -5*z + 401. Calculate the remainder when z is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 848 + -846. Solve 2*n = -2*u + 4, -3*u + 13 = -m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 579388248 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 12*o**2 - 11*o + 4. Let l be u(-11). Suppose -l*x + 6072 = -868. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7124 times 0.2\nAnswer: 1424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/25?  (a) 0.4  (b) -13  (c) -5  (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 624 - -9. Let p = i + -621. Solve v - 7 = -p for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1561042 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.094607 and -2541.2.\nAnswer: -2542.294607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xnxn when four letters picked without replacement from nxnxxxxxxxn.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the third derivative of g**8\/224 - g**7\/140 - g**6\/40 + g**5\/20 + g**4\/16 - g**3\/4 + 3*g**2. Factor p(m).\nAnswer: 3*(m - 1)**3*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-11 + 10 - 17 + (0 + 2 + 0)*(3 - 1 - 3))*(1 - 1 - 2*d**3) to u*d + s*d**2 + a*d**3 + l and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 3\/5  (b) 0.4  (c) -1  (d) -0.3  (e) -1\/131  (f) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 times -454320?\nAnswer: -2271600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 171 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**5 - 12*d**4 - 22*d**3 + 48*d**2 + 56*d = 0.\nAnswer: -2, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 4437 = 2*a, -a - 4*v + 6655 = 2*a. Suppose a = 4*n - n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.01990768 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -843*m - 42. What is the units digit of n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1, -32, 2, 7 in decreasing order.\nAnswer: 7, 2, -1, -5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbgoojbbbojgbbbbbbg. What is prob of sequence jj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 + 1342?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 4*z**4 - 64*z**3 - 840*z**2 + 19136*z - 80444 = 0.\nAnswer: -17, 7, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/2946*(-3 - -1)*(10 - 12). Is x at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 29 and 3509.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(2\/(-9) + (-75)\/27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 2*t + 60. Let c(b) = -1. Determine -3*c(r) - v(r).\nAnswer: -2*r - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 10599804179 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 116136, 929323, 3136552, 7434843, 14521216?\n\"Answer: 116170*l**3 + l**2 - 6*l - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + (sqrt(204)*1 - sqrt(204)) - sqrt(204)))\/sqrt(12) - -3*(sqrt(34)\/sqrt(2))**2.\nAnswer: sqrt(17) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4\/10)\/(8\/(-10)). Let k = 7\/20 - 13\/60. Let y = 1 - 2. What is the second biggest value in k, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*h**3 + 3*h**3 - 2*h**3 + (1 - 2 + 2*h**2 - 6*h**2)*(3*h - 3*h - 3*h - h + 3*h - h + (0 - 5 + 4)*(2 + 2*h - 2) + 21*h - 22*h - 14*h).\nAnswer: 75*h**3 + 19*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = l**3 - 12*l**2 + 13*l - 6. Calculate t(11).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 2*i - 185 = 0, s - 2*i = -0*i + 55. Let c = s - 55. Suppose 0 = -c*r + 159 + 91. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1887865 rounded to three decimal places?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -9 + 7*k**2 + 9. Let d(s) be the first derivative of -3 + 0*s + 1\/2*s**2. Determine d(u(o)).\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.8453, 408, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.1 - 0.1. Let o = 351\/142 - -2\/71. Which is the third biggest value?  (a) 1\/3  (b) r  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 54274 and -102.182?\nAnswer: 54376.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = 3*a**2 - 19*a + 48. Suppose -3*v + 32 = 4*q, -2*v - 3*q + 4 = -v. What is the lowest common multiple of v and b(9)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + -3 + 5 + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -17*u - 331. Calculate q(-20).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that 3*m**3\/2 - 165*m**2 + 8721*m\/2 - 8073 = 0.\nAnswer: 2, 39, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1494, -1495, -1474, -1425, -1342, -1219, -1050, -829?\n\"Answer: m**3 + 5*m**2 - 23*m - 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = x**2 - 6*x + 10. Let h be j(4). Suppose 4*m = h*m + 10. What is u in m*u - 6*u**2 + 0*u**2 - 2*u + 3*u**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60804.34 hours in nanoseconds?\nAnswer: 218895624000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwif when four letters picked without replacement from bwbbibwwhbhwbhwwif?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1478 + 1485. Solve -90 = k*w + 11*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -20*h**5 - 3*h**2 - 12*h. Let x(a) = -20*a**5 - 2*a**2 - 13*a. Let y(j) = -2*t(j) + 3*x(j). Find the second derivative of y(q) wrt q.\nAnswer: -400*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 0 + 4\/3*x**3 + 7\/2*x**2 + 3*x - 1\/12*x**4. Let p be i(8). Calculate the greatest common divisor of p and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d**3 - 115*d**2 - 215*d - 105 = 0 for d.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 134, 0.2, 0.3, -2\/11, 2.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-7)\/z**(-1\/29))\/(z**(-7\/9)*z*z**(-1\/17)) assuming z is positive.\nAnswer: z**(-31631\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 3038*d**3 + 17*d - 15. Let c be g(1). Calculate the greatest common factor of c and 160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.22 + -126?\nAnswer: -125.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93*v + 5*o = -48*v - 48*v - 93, 4*v = -5*o - 124 for v.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 362 is divided by 60.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -3fe (base 16) in base 8?\nAnswer: -1776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2308)\/20 - -3*(-2)\/(-15). Let f = 135 + l. What is the highest common factor of 80 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 20280\/(-2534))*(-182)\/52?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3, 5, 7?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/3 in 273, 1\/8, 5, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -9.1 times 1082\nAnswer: -9846.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 46\/505 or 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -85, 581, 2337, 5729, 11303, 19605, 31181?\n\"Answer: 91*i**3 - i**2 + 32*i - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 577 + -576. Is o at most -186?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(-5)\/r)\/(r\/(r*r*r**(-1\/6))))**(1\/29)\/(r**(2\/7)*r*r*r*r*(r*r*r**7*r)\/r*((r*r\/r**1*r*r*r*r)\/r*r)**(-9\/2)) assuming r is positive.\nAnswer: r**(5503\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -177344948 divided by -1?\nAnswer: 177344948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 1. Suppose -5*y + 14 = -r, -i*r + 17 = -0*r - y. Calculate the remainder when 20 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5915167?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out -9079274 + -30977.\nAnswer: -9110251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 14053640609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-459)\/2*(-4)\/(-12)*-4?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/((t*t**(-20))\/t*t)))\/t*(t*t**(-9\/7))\/t assuming t is positive.\nAnswer: t**(-149\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (16\/4)\/(-272)*(-4)\/79. Let r be (-2)\/6 + (-267281)\/32232. Let z = l + r. Find the common denominator of z and 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = 3*b, -l = 2*b - b. Suppose 0 = -3*h + 6 - b. Let i be -1*(4\/h + 0). Is i bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 28 + 2 + 0 + 1 + 1 + (2 - 1 - 2)*(-4 + 4 + 2) - 1 - 1 + 0)*(0 - 4 + 2)*(-p + 3*p - 4*p).\nAnswer: -116*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h + 4*a = -2*h, 4*h + 2*a - 8 = 0. Suppose -h*i - 9 = -7*i. Suppose 3*j = 5*l + 36, -i*l + 4 + 73 = 4*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 729 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 + (-14 - -20) - -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 243099 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that -16332*v**2 - 7578056*v - 3712 = 0.\nAnswer: -464, -2\/4083","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -249*(5 + 80\/(-15)). Suppose 5*i - i - u = n, -2*i - 5*n + 25 = 0. Calculate the remainder when i is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -243795 greater than 3.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lwwnwwzppnnpnhw. Give prob of picking 1 w, 1 p, and 1 n.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -s**2 + 1798*s - 83998. Determine o(48).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 3*d + 1. Suppose 5*c - c = d. Let p(i) = 21*i**2 - 2*i + 1. Is p(c) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 574199 and 15599.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 1094271464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2985)\/1170*(-103)\/5. Let i = t - 649\/13. Calculate the common denominator of i and -47\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -417 - -417.2. What is the nearest to n in 2, 26, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - ((-153)\/(-18) + -2). What is the closest to o in 0.1, -1\/2, 0.2, 16?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -2899\/10909?\nAnswer: -2899\/10909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -228*h - 571*h**5 + 226*h**5 + 10 - 10 wrt h.\nAnswer: -6900*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 10 and 240.4.\nAnswer: 250.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum 32.933 and -2.18.\nAnswer: 30.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 4*h**3 + 142*h**2\/3 - 1800*h + 896\/3 = 0.\nAnswer: -28, 1\/6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 737\/276398?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*l**4 + 34*l**3 - 10*l**2 - 48*l.\nAnswer: -2*l*(l - 8)*(l + 1)*(2*l - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 53*f**5 + 425*f?\nAnswer: 1060*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence okl when three letters picked without replacement from kllo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + 2\/(84\/(-82)). Let d = h + -4\/3. Sort -0.5, d, -0.3 in descending order.\nAnswer: d, -0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + 669213?\nAnswer: 669216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -8086057 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5105739 centuries in millennia?\nAnswer: 0.05105739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -10402546 divided by -2?\nAnswer: 5201273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 16590382723 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-16500)\/(-120) + ((-2)\/4)\/1. Let o = 163 - b. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-30303)\/(-84) + (-2)\/(-8). Let y = 881 - v. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6804 to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2256 is divided by 84?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*s - 7417 - 1375 = 0. Suppose 3*j + 4*d = s, -4*d - 1545 = -4*j - 33. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjggjgggjggg.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/5?  (a) -4\/3  (b) 2\/5  (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -27 + 47. Suppose 5 = 5*t + v. Let a(q) = -q**3 + 3*q**2 + 3*q + 3. Let b be a(4). Put 2, t, b in descending order.\nAnswer: 2, b, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 28, 51, 6, 5, -12, -30 in ascending order.\nAnswer: -30, -12, 5, 6, 28, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 4, c: 3, i: 9, z: 2, r: 1}. Give prob of picking 1 z and 3 s.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 2\/15  (b) 1\/17  (c) -0.2  (d) 0.3  (e) -0.4  (f) -13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 61488 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 2*p - 4 = 0. Let d = 2 + p. Suppose -2*n + 0*n + 8 = 0. What is the greatest common factor of n and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 7, a: 1, s: 2}. What is prob of sequence qa?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 4*l - 9*l - 16, 5*b = 3*l + 22. Solve 3*p = -b*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -140 divided by -43494\nAnswer: 70\/21747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 10) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*t - 9 = 3*t. Suppose 2*r - 4*l = 3*r - 1, 2*l = -2*r + 2. Let z = t - r. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 154438 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 15807657*g**2*v**2 - 21*g**2 - g*v - 574*v - 157 wrt v?\nAnswer: 31615314*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 46*r**3 - 85*r**3 + 50*r**3.\nAnswer: 11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(0 + (-1 - -2)). What is the least common multiple of (f + -4)*(-7)\/1 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -220*i + 215*i + 104245. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = x**2 - 27*x + 53. Let i be b(25). What is the third derivative of 4*n**3 - 2*n**3 + 2*n**4 + 6*n - 2*n**2 + 0*n**3 + 8*n**i wrt n?\nAnswer: 48*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -9*a**5 - 240*a**2 wrt a.\nAnswer: -540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 5*l**4 - l**4 - l**4 + (-3*l**2 - l**2 + 3*l**2)*(4 - 82*l**2 + 3 + 80*l**2) to the form y*l**2 + g*l + z*l**4 + t*l**3 + h and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.97 to 2 decimal places.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cruucjuuiucjrcuj. Give prob of picking 2 u, 1 c, and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 2*r - r)*(4*r - 485 - r + 22).\nAnswer: -3*r**2 + 463*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*m**2*p*t**3 + m**2*p - 4*m**2 + 5*m + 64*p*t**3 - 2*p*t**2 wrt t.\nAnswer: -18*m**2*p + 384*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 101\/8 - 13. Let j = -216.513 - -217.013. Which is the biggest value?  (a) z  (b) 2  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -7442*n + 39310 - 39310 as y + a*n and give a.\nAnswer: -7442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -516133*h**2 + 516133*h**2 + 175*h**3.\nAnswer: 175*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that 0 + 48*n - 168\/5*n**2 - 3\/5*n**4 + 39\/5*n**3 = 0.\nAnswer: 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31541891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1937091?\nAnswer: 3, 13, 49669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-t**3 - 2*t**3 + t**3)*(1 + 2 - 1)*(-3*t + 3*t + t**2).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i - 49 = 86. Is 29 a factor of (-3921)\/i + 4\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2010 - 20?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*t - 3*t - 16069 + 14914)*(5 + 1 - 2).\nAnswer: 8*t - 4620","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -656 = -4*n - 3452. Let t = n + 703. Factor -2\/13*h**t + 4\/13*h**3 + 0*h - 2\/13*h**2 + 0.\nAnswer: -2*h**2*(h - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.014835 rounded to 3 decimal places?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27243?\nAnswer: 3, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 293 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (16 + -4 - 54\/(2 + 7))*(-198)\/(-924).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o + 3*k = 546, 0 = -2*o + 2*k + 112 + 244. What is the highest common divisor of 230 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 20*y + 64 + 20 = 48, 2*y = -3*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkqylbgl. What is prob of sequence glyk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**3\/6 + 3*s**2\/2 - 71*s + 208\/3.\nAnswer: (s - 16)*(s - 1)*(s + 26)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 5*w = 0, 2*h - 16 = -h + w. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.8 and -2843643?\nAnswer: -2274914.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.23 + -1.64. Let l = -0.19 + k. Let a = l + -0.4. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -753713733 + -71?\nAnswer: -753713804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = s**2 - s - 2. Let l = -9 + 18. Suppose 0 = -3*t + 2*n - 13, -5*t + 3*n - 11 = l. Let p = -1 - t. Calculate h(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g*g\/((g\/g**(-3))\/g)*g*g*g\/(g*g**2))**(-13\/7))**(-1\/3) assuming g is positive.\nAnswer: g**(-13\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r. Let y be a(1). Suppose 4*b = -7 - 9. Let z be 2 + 5\/(5\/b). Which is greater: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(275)*-2 + sqrt(33)\/(sqrt(9)\/sqrt(3)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-24)\/(-15))\/(2\/30). Let q be (-7)\/56 - 11037\/u. What is q rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d*d\/(d\/(((d\/(d\/d**(1\/17)))\/d)\/d))*d*d)\/d)\/d**(2\/5))\/(d**(1\/3)\/d)**(-3\/10) assuming d is positive.\nAnswer: d**(39\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 592 minutes before 11:45 PM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) -4  (c) 3.33  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 171296, 342670, 514044?\nAnswer: 685418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 7 + 7 = 0. Let d = 8 - 5. Suppose i*w - 14 = -5*w + d*u, 3*u = -9. Which is the closest to w?  (a) 5  (b) -5  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 7*i + 83 = -3*i, 5*g + 3*i - 131 = 0. Suppose -3515*q = b - 3514*q - 4, 0 = -5*b + 5*q + 30. Solve b*m - m + f = g, m = -f + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 252 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 3*o**2 - o - 2. Let k be n(-2). Suppose 2*u - 2*y - 3 = -u, -k*u + 5*y - 3 = 0. Suppose u*t + 2 - 32 = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**(-3)\/u**(2\/13))**24)**(-33) assuming u is positive.\nAnswer: u**(32472\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 410334 is divided by 136768?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -304*m**4 - 3213*m**2 + 1.\nAnswer: -7296*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(2\/5))**(-9\/5)\/(m**6*m**(-2\/13))*((m*m\/(m\/(m*(m*m**(-1\/6)*m)\/m)*m*m)*m)\/(m**6\/m))**36 assuming m is positive.\nAnswer: m**(-39184\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5 + -3. Let n(c) = -c**3 + 3*c**2 + 6*c - 5. Let g be n(4). Is z > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63155862 and 760914?\nAnswer: 63155862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 3, o: 13, c: 4}. What is prob of sequence ocoo?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - -1062616?\nAnswer: 1062623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 - 21 - 1131472*i**2 + 14 + 1131466*i**2.\nAnswer: -6*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 212352\/18249*(-11)\/(-2).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 436275?\nAnswer: 3, 5, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 145*t - 503. List the prime factors of q(8).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -207 (base 8) in base 11?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 68  (b) 0.2  (c) -4  (d) 2  (e) 6  (f) 0.154\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -h**2 - 5*h - 3. Let f be w(-3). Suppose 0 = a + f, 3*g = -5*a - 0 + 3. Let o = 12 + g. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -55248, -56959, -59810, -63801, -68932, -75203?\nAnswer: -82614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -11*w**2 - 3*w + 20. Let d(x) = 4*x**2 + x - 7. Suppose -60*h = -66*h - 2490. Let v = h + 407. Calculate v*d(o) - 3*y(o).\nAnswer: o**2 + o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 42, 371, 1278, 3057, 6002, 10407, 16566, 24773?\n\"Answer: 49*l**3 - 5*l**2 + l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -3*l**2 + l - 3. Let u(i) = 10*i**2 - 4*i + 8. Determine -7*b(n) - 2*u(n).\nAnswer: n**2 + n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -165 times -2353.4\nAnswer: 388311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x**2. Let l(g) = -11*g + 37 - 17 - 20. Determine v(l(t)).\nAnswer: -363*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 41 + -1515.\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 19*a - 23*a + 7*a.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 + 5*o - 5. Let b(y) = y**2 + 6*y - 6. Let l(z) = -z - 4. Let q be l(2). Let h(a) = q*u(a) + 5*b(a). Let k(w) = 9*w. Calculate k(h(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-1 + -6*(sqrt(832) + 1 + -1) - ((2*sqrt(832) + sqrt(832))**2 + -3 + sqrt(832) + -2 + (-1 + sqrt(832))**2 + 1))*-3.\nAnswer: -124770 - 600*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1\/3166 - -3163\/9498. Let u(w) be the first derivative of q*w**3 - 18 + 0*w + 0*w**2. Let x(t) = t - 26. Give u(x(b)).\nAnswer: b**2 - 52*b + 676","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - 8 - -9 - 18.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 619690272 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1344)\/(-420)*30\/(-552)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + (6 + -1 - (-3 - -5))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -134 + 137. Let y be (-122)\/(-4) + 9\/6. Suppose -y = -d*c - c. Calculate the remainder when c is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/((3 + -2)\/7 - (-1)\/42)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 91121401 and 2282?\nAnswer: 1141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 45977379 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 41280347 and 671?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -14993, -29984, -44973, -59960?\nAnswer: -74945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 31985 - 31983. Solve 0*x + o*x + 3*t = 9, 5*x - 3*t + 9 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 25 minutes before 4:30 AM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.158314 times -2.48\nAnswer: 0.39261872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 5*y - 10. Let t(w) = 193*w + 1346. Let k be t(-7). Determine c(k).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 732651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.601 - -0.101. Let u = 32 + -34. Which is the nearest to u?  (a) 3  (b) 0.4  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -112b (base 12) in base 10?\nAnswer: -1907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -11*w - 2. Let x be g(-2). Suppose -4*n + 5*y + x + 23 = 0, n = y + 11. What is the highest common factor of n and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1572 divided by 131.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-90)\/54 - 528\/(-252)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 2 + 2 + sqrt(396) + ((-1*sqrt(77)*6 - sqrt(77) - sqrt(77))\/sqrt(7) - ((-2*sqrt(704) + -3 - sqrt(704) - sqrt(704)) + sqrt(704))**2).\nAnswer: -6342 - 146*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9135509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(-1 - 1) - 1. Let l(k) = -2 - k - q*k**3 - 3 + 5*k**2 + 3*k - k**3. Let u(o) = o**3 + o**2 + o - 1. Let g(j) = -l(j) - u(j). Factor g(t).\nAnswer: 3*(t - 2)*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*o + 12, 3*a - 7*o + 3*o + 7 = 0. Suppose -a*j + 5*k + 312 = 0, 2*k + 557 = 5*j + 6*k. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1780 and 3560.\nAnswer: 3560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 10 and 19985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -139, 53, 271, 527, 833, 1201, 1643?\n\"Answer: 2*y**3 + y**2 + 175*y - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 5707384269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r*r**(3\/10)*r**(-5)*r*r\/(r\/r**(-4\/3))*(r*r\/(r*r**(2\/3)))\/r*r*r*r*r*r assuming r is positive.\nAnswer: r**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1 (base 10) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3  (b) -51  (c) 5  (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 6  (b) 4  (c) -0.1  (d) 3  (e) 5.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3 by 73.\nAnswer: 3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -17*h**2 + 7. Let b(t) = -2*t. Determine b(x(z)).\nAnswer: 34*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -92\/37  (b) 114  (c) 3  (d) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 + g**2 + 2*g + 4. Suppose 2*m = 5*h - 25, -4*h + m - 3 = 4*m. What is the tens digit of k(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 387873 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = 2*n**2 - 16*n + 26. Let s be v(6). Find the common denominator of 29\/6 and (-13 - (-48737)\/3900) + s\/8.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the first derivative of f**3 + 0 - 2 - 1 + f**3. Let v(g) = -g**2. Give z(v(o)).\nAnswer: 6*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + 0 + (sqrt(468) - (3*sqrt(468) + sqrt(468))) + 0 + -2 + -3 + (sqrt(156)\/(sqrt(12)*-2) - sqrt(117)\/(sqrt(9)*-1)))**2.\nAnswer: 210*sqrt(13) + 16069\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1809*p - 1967*p - 5*p**2 - 2391*p**3 + 5*p**2 + 3215*p wrt p?\nAnswer: -14346*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 133007933*b**3 + 6819677*b**2 + 34*b.\nAnswer: 798047598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 3*b**2 + 2*b - 3. Give i(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 1044.438307 to 1 decimal place.\nAnswer: 1044.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.3792 + -0.0208. Which is the closest to 2\/5?  (a) p  (b) -2\/9  (c) -7\/2  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -4\/30537 and -5\/87.\nAnswer: 30537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*c - 35*c + 40. Suppose -x - 5 = 0, c*a - 4*x + 8493 = 1413. What is a rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 4*r + 3 = 0, -3*v + 10*r + 9 = 13*r. Let h(p) = 8*p**2 + 2*p. Determine h(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 2579*v**4 + 34*v + 8?\nAnswer: 30948*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 15 = 2*a + w, -a - 11 = 5*w. Let l = 0 + a. What is the biggest value in l, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -15*o - 33. Let b(y) = -y - 2. Let a be 66\/(-4)*(4 - 6). Let u(j) = -2*j**3 + 25*j**2 - 77*j + 124. Let w be u(9). Give a*b(h) + w*s(h).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 159485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 73177.82 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 165 by -55.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -12.166 - -0.496. Let u = -11.5 - h. Round u to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127 (base 9) in base 4?\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 2*g = 6. Let u(x) = x**3 + x**2 - x + 4. Determine u(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -5*q - 6370000. Round q to the nearest 10000.\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 13) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -1959.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -13994 - -13989.8295. Round j to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 169793650?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-52)\/(-6))\/(4\/(-6)). Let c be 4\/(-24) + 547\/6. Let i = c + o. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*b = 6*b + 12. Suppose 0*a = -b*a - 6. Let g be (-56)\/21*(-1 + a\/4). Solve w + g*w + 20 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 19*g**2 + 10*g**3 + g - 19*g**2 + 0*g. Let h(n) = n**2 - 10*n - 5. Let k be h(10). Let t(z) = -7*z**3 - z. Determine k*w(v) - 7*t(v).\nAnswer: -v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -38 + 44 + (5 - (4 + -1)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + ((sqrt(108)*-1 - sqrt(108))*5)\/(sqrt(9) + sqrt(225) + sqrt(225)*2 + sqrt(225) + sqrt(9)).\nAnswer: -10*sqrt(3)\/11 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p = -10, -5*p + 1476 = 5*j - 649. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k, 1 z, and 1 b when three letters picked without replacement from {b: 1, i: 2, z: 1, k: 2, x: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort 75, 9, 2, -178.\nAnswer: -178, 2, 9, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 472100.8 years to millennia.\nAnswer: 472.1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -350201*158.1.\nAnswer: -55366778.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6765 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 2769, 11436, 25987, 46416, 72717?\n\"Answer: -l**3 + 2948*l**2 - 170*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-28) - 69\/(-21). Suppose 5*k = -z*h + 7792, h + 0*h = 5*k - 7796. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -118 times 8988.99?\nAnswer: -1060700.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = c - 1 + 16, -3*q + 4*c = 0. Let p be 3*(q + 6) + -3. Suppose 4*g = -5*m + 697 - 47, -2*g - 368 = -p*m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 - ((-28 - -9) + 12 - -25).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5*m - m + 4*m**5 - 3*m**5 wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32353, 63766, 95181, 126598, 158017?\nAnswer: 189438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 - 6. Let h be 0 + -1 + (19 - 16). Solve -r*t - 20 = 5*b + h*t, -b + 5*t = -26 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000220528 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 481787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 739\/17928 + 1\/2241. Is 2.2 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7245710699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -467744\/11 + 42522. Which is the biggest value?  (a) x  (b) -16  (c) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 157339904 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 9\/12 + (-5)\/(-4). Let j = 6 - w. Suppose 0 = 4*i + 8, -5*z + 5*i = -0*z - 45. Calculate the remainder when z is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-894)\/21903)\/(16\/1400)?\nAnswer: -25\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1377416 is divided by 1377387.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + f = 10*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -8 and -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 378, 3038, 10204, 24126, 47054?\nAnswer: 81238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2988771 to the power of 1\/2, to the nearest integer?\nAnswer: 1729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*l**4\/3 + 104*l**3\/3 - 1352*l**2\/3.\nAnswer: -2*l**2*(l - 26)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, h: 3, i: 2, t: 1, o: 9}. Give prob of picking 4 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 454 + 876 = 19*t. Suppose -r = -15*r + t. Let p = -5 - -6. Calculate the greatest common factor of p and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6725905 is divided by 6725897.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 351 = 104*q - 273. Solve -2*i = q*n - 8*n, 8 = -4*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) be the second derivative of 4*n**7\/21 - 3*n**3\/2 + 7*n. What is the second derivative of y(o) wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 125255 and 8483735.\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 509, 983, 1417, 1781, 2045?\n\"Answer: -5*h**3 + 10*h**2 + 479*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -134256, -134235, -134214, -134193, -134172?\nAnswer: -134151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -389 minus 45.07?\nAnswer: -434.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = -2*i - z, 8*i + 69 = -3*z + 169 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -27, -14, 1, 5, 2.\nAnswer: -27, -14, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 53.87 + 1.63. Let y = g + -6.5. Let u = -48.923 + y. What is u rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 39.428mg?\nAnswer: 0.000039428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -10 divided by -6459.\nAnswer: 10\/6459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.5, 4, -4.3, -0.004, 0.2, -0.5?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from xrowtpxxptww. What is prob of picking 1 w and 2 t?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9041 + -9029. What is the remainder when 17039 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - ((5 - -1) + (22 - 30)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(72) - (-3 + sqrt(72) - sqrt(72)) - sqrt(16)\/sqrt(8)*-3) + -1 + (-5 + (sqrt(2) - (0 + sqrt(2))) - (-1 + sqrt(2) - sqrt(2))*3) + -4)**2.\nAnswer: -72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -156650144*z**3 + 2*z**2 + 654629223*z wrt z?\nAnswer: -939900864*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 + 5 = y, -4*y + 19 = 3*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 10574.83 and -5.\nAnswer: -52874.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-2)\/4)\/(1\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -104*f**2*q**3 - 47*f*q**3 - f wrt f.\nAnswer: -208*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1839 - 1835.243. Round k to one dp.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*l**2 + 0*l**2 + 0*l**2 + 2)*(l - 8*l - l - 2).\nAnswer: 16*l**3 + 4*l**2 - 16*l - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 4*d - 20. Suppose -16*m + 85 = -11*m. Suppose 13*b - 32 = -4*x + m*b, 4*x - 2*b = 24. Calculate the highest common divisor of x and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 569677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 8  (b) -13  (c) -4  (d) 29  (e) -1  (f) 183\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683904?\nAnswer: 2, 3, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = u**2 + 17*u + 36. Let k be s(-8). Let l be (2*10\/40)\/((-2)\/k). Let v = 6 - -4. Is v at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-17)\/(-2) - 7)*(13 + 1). Calculate the greatest common factor of k and 2492.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9680*-0.107.\nAnswer: -1035.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from gjwggjdjdjdjpj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 0.3 + -72728\nAnswer: -72727.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20100021 - -1?\nAnswer: 20100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 + 9 = -5*h. Suppose -3*v - 1673 = -h*b, b - 570 - 274 = -v. Suppose 949 + b = 10*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = 7*i - 2. Let w(d) = -388*d + 795*d - 11 - 371*d. Determine -11*f(h) + 2*w(h).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (162*-1)\/((-2)\/60). Suppose 2*g - 4880 = -5*d, 5*g + p = 5*d + 3*g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -142 + 633\/4. Find the common denominator of r and ((-20)\/(-16) - 1) + (-214)\/56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = c - 4*m, -11*c + 10*c = m - 24. Solve -4*u - 2*i + c = 0, -3*i - 10 = -2*u + i for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 29 = 5*j + 70, -3*z - 94 = 15*j - j for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 41.8  (b) -5  (c) -2  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-20*p - 21*p - 9*p)*(-3 + 2 + 2)*(p - 4 + 4).\nAnswer: -50*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*(p**(-24)*p)\/p)**(-15)*(p*p*p*p**(5\/11)*p)\/p**28)**(-5) assuming p is positive.\nAnswer: p**(-17680\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 970469?\nAnswer: 970469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2.28 or 1\/21?\nAnswer: 2.28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a - 15 = 4*a. Let t(c) = 2*c**2 - 9*c + 2. Let l be t(4). Let h be (-2)\/(-8) + 5\/(-4). Put l, a, h in decreasing order.\nAnswer: a, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 3*r - 1. Suppose -2*o + o = -4*t - 16, -2*o + 4 = -t. Suppose r*x - 374 = -3*f, -x + f + o = -70. Is 20 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/12*(-18)\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 144558199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.77 + 0.09. What is h rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the first derivative of -f**4\/4 - 10*f**3\/3 - 5*f**2 - 4*f - 2. Let c be r(-9). Solve -6*y + 4*y - 4 = -4*m, 5*m - c = -5*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 41832752?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.2 * -5.76299.\nAnswer: -1.152598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w - 1 = -3*w - u, -22 = 4*w + 5*u for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -11 + 9 - -3 - (-11 - 1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -2*p**3 - 9*p**2 + p - 13. What is the remainder when 874 is divided by n(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 686463.8 nanometers to kilometers.\nAnswer: 0.0000006864638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(-2*sqrt(170)*3 - (sqrt(170) - (sqrt(170) - (sqrt(170) - sqrt(170)*2))*-5 - sqrt(170))))\/((sqrt(810)*-1 - sqrt(10)) + -1*(sqrt(90) + sqrt(10))).\nAnswer: -40*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -18589, 5, 3\/4, -0.3, -5.\nAnswer: -18589, -5, -4, -0.3, 3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -423*v - 158*v - 613*v.\nAnswer: -1194*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12521 - 12558 + 0*w**2 + w**3 + 37600 + 0*w**2 - 12521.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22665876 divided by -3513.\nAnswer: 6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11230 = 19*d - 33479. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3229 a factor of 13377747?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-97 - (8 + -4 + (-41 - -51))) + -5\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 35*z**3 + 3 - 2686001*z + 2686001*z.\nAnswer: -35*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*s**3 + 12*s**2 + 10 - 21*s**2 + 9*s**2 - 178*s**3 + 89*s**3.\nAnswer: -81*s**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -17, -3, 3, 2 in descending order.\nAnswer: 3, 2, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 4991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(l) = 2*l**3 + l**2 - 2. Let y(r) = -5*r**3 - 3*r**2 + 4. Let v = 28 - 49. Let p = -24 - v. What is p*y(n) - 7*k(n)?\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 - -be4?\nAnswer: be5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 162 = 51*o + 43*o - 120. Determine q so that 0 + 6*q**2 + 0*q + 3\/2*q**o = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2732 bigger than 2718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6400*d + 1634*d - 3108*d + 7406*d + 8820*d.\nAnswer: 21152*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1321110878?\nAnswer: 2, 660555439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is (40\/10)\/(85 + 19)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-4)*(-4)\/(-2). Let b(x) = -6*x - 13. Let o(p) = 5*p + 11 - 12 + 13. Let g(t) = w*b(t) - 4*o(t). Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -4651.\nAnswer: 2\/4651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 52524.\nAnswer: -5252.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 3*i - 48, -3*i = 2*t - 3 - 31. What is the remainder when t is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13*a**2 + 4 + 2096*a**3 - 1051*a**3 - 1044*a**3 + 5*a as y*a**2 + p*a + n + t*a**3 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Solve -344*x + f = -349*x + 10, -2*x - 2*f - 4 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32 - ((1 - -2) + 0) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 18 = -3*q. Find the common denominator of (q\/25)\/(8\/(-85)) and 93\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, -4, -3\/2, -0.264?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-4)\/6)\/(4\/(-12)). Suppose f*p + 2*n = 255642, 3*p + 3*n = -n + 383465. Let k = p - 205819. Round k to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4*d**3 - 53*d**2 - 17*d - 2. Let f be p(-13). Is 86 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = 3*b**2. Suppose 5*i = 2*u - 14, -2*u = 4*i + 2*u + 28. Let a = i + 9. Let f(t) = -a + 4 + t**2 + 1. What is j(f(r))?\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -377, -3176, -10871, -25940, -50861, -88112, -140171, -209516?\n\"Answer: -413*u**3 + 30*u**2 + 2*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 56 a factor of 170177428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(21)\/(sqrt(12)\/sqrt(4)) + sqrt(7))**2.\nAnswer: 20*sqrt(7) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 436842703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 4*v + 67. What is the smallest common multiple of c(-7) and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 145, 579, 1301, 2311, 3609, 5195?\n\"Answer: 144*a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -13. Let f(y) = -y**2 + 8*y - 5. Let j be f(z). Suppose -j*u = -8 - 130. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1333 - 455031?\nAnswer: -500404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -7aaae (base 15) to base 2.\nAnswer: -1011111010110001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 26 + 70. Let k be 4\/c + 44\/24. Suppose k*z = 5*z + 3. Is 1\/14 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 + (656\/(-78))\/8 - (7 + -2)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 + 263*t**2\/3 - 1535*t\/3 - 1799\/3.\nAnswer: -(t - 257)*(t - 7)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*1\/(-6)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1112 and 417.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 4604 rounded to the nearest one hundred?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100 (base 3) to base 13.\nAnswer: -6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*c**2 - 7*c**2 + 0*c**2 as i*c + f + r*c**2 and give r.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1186 - -0.0186. Is 2.24 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -176.70503518 - -0.08?\nAnswer: -176.62503518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence twxb when four letters picked without replacement from nnnnbnwnbxnttxnntbwn?\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.41406567 to 4 decimal places.\nAnswer: -0.4141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 8*v**2 + 613*v + 203*v - 111*v + 998*v.\nAnswer: 8*v**2 + 1703*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1\/3  (b) -2\/5  (c) -0.3  (d) 172\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -20  (b) 0.06  (c) -5  (d) 4  (e) -3\/7  (f) -46.6  (g) -0.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*n + 22. Let f = 17 - n. Suppose -f*v + 30 = -4*v. Solve 7*i - 4*i + v = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -161307, -322594, -483881, -645168, -806455, -967742?\n\"Answer: -161287*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -972924.5 plus -0.4516?\nAnswer: -972924.9516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is (30*8\/1440)\/(5\/320)?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00179404351 rounded to seven decimal places?\nAnswer: 0.001794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Work out -557779 - -80014.68.\nAnswer: -477764.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2376542*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 88 a factor of 57933606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*c - 626. Suppose -4*a + 2*a + c = 4*b, 5*b + 2*a = 781. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 2*d + 4*j + 12, -2*j = -d - 13. Let x be d*((-30)\/(-747))\/(-5). Let s = -208\/581 + x. Is s at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 30\/60 - (-33)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4025*i**2*r**3*w**2 - 2*i**2*r*w + 5*i*r**2*w**2 + 4*i*w**2 + 85*r**2 wrt r?\nAnswer: 24150*i**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 6*c**2 + 15*c - 6. Let p(i) = 2*i**2 + 5*i - 2. What is 3*a(x) - 8*p(x)?\nAnswer: 2*x**2 + 5*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -4 - -4. Let q = 390 - 5852\/15. Which is the closest to h?  (a) -5  (b) q  (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1315117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 6 - 1. Let g(r) = r - 11*r**2 - m*r**2 - r. Let c(h) be the second derivative of -h**3\/6 + 21*h - 31. Give c(g(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4227 + 4222. Sort 1, b, -7, 10, 0 in increasing order.\nAnswer: -7, b, 0, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 37 = -3*z + 4*i, -2*z = 4*i + 186 - 208 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -819, -919, -1083, -1311, -1603, -1959, -2379?\nAnswer: -2863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000001 - -1100000?\nAnswer: 11111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (10 + -17 - -11 - (1 - 9)) + -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 + 14*l - 12. What is p(10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-32)\/40)\/(2\/(-15)*3). Suppose -3*a + 6 = o + g*o, 5*a = -4*o + 14. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m + m = 5*r + 16, 4*m - 6 = -3*r. Let i = 1.43 + -5.44. Let k = i + 0.01. What is the closest to 0 in k, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-3381)\/63)\/(-23))\/(2\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and -577590.2102?\nAnswer: 577594.2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -51*c**2 + 53*c**2 + 18*c**2 + 41*c**2 + 46*c**2 in the form w + r*c**2 + q*c and give r.\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 40\/(-24)*405\/1800.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -49*a + 396. Calculate the remainder when d(5) is divided by 45.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nzg when three letters picked without replacement from {p: 2, z: 1, g: 2, y: 1, n: 1, v: 2}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -6.2037 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4 - 4. Suppose -g - g + 4 = k. Is 3 a factor of 14\/2*2\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (162\/24 + -7)\/1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5d161 (base 15) in base 9?\nAnswer: -502751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 98 + -103. Let l(d) = -d**2 - 1. Let p(b) = -16*b**2 + 3*b - 2. Let j(t) = 5*l(t) - p(t). Is j(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - (-2 - -3)\/(-1). Suppose z*f = f + 103000. What is f rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*m + 616 - 637 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -455*r + 430*r = 0. Solve 2*c - z + 15 = r, c + 3*z - 5 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.03 - -2.03. Let g = -4\/21 + 40\/63. Let m = -2 + 6. Which is the third biggest value?  (a) t  (b) g  (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = 2*k**3 - 46*k**2 - k + 26. Let v be p(23). Solve -2*n + 2*f - 4*f - 8 = 0, -v*n - 5*f - 10 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 245697 is divided by 171.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 < 51006\/3043?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*m + 2*v - 278 = -70*m, 0 = 3*m - 3*v - 258. What is the remainder when 626 is divided by m?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = 1922*b + 36903. What is t(-19)?\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/5?  (a) -22  (b) -7  (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 8*q**3 + 2084*q**2 - 5252*q + 2104.\nAnswer: 4*(q - 2)*(q + 263)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**29\/a*a*a*a*a)*a\/(a**(1\/20)\/a))**(-11) assuming a is positive.\nAnswer: a**(6391\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zcuz when four letters picked without replacement from {z: 2, u: 11, c: 2}?\nAnswer: 11\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*d - 45 - 16 - 22)*(2 - 2*d**2 - 2) in the form n + z*d**2 + a*d**3 + g*d and give z.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -11907, -23564, -35223, -46884, -58547, -70212, -81879?\n\"Answer: -t**2 - 11654*t - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 16*y**2 + 15*y + 16*y**2 - 33*y**2 as m + d*y + l*y**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*b**4 + 2*b**4 + 4 - 3 - b in the form y + d*b**4 + k*b**2 + a*b**3 + g*b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the first derivative of -4*p**7\/7 + 231*p**5\/5 + p**3\/3 + 119*p + 3142. What is the third derivative of n(q) wrt q?\nAnswer: -480*q**3 + 5544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.8 + 3.8. Let n = 2.5 + -3. Let q = n + 0.2. Which is the biggest value?  (a) q  (b) -0.1  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-10) - (-123)\/15. Suppose b = -2*y + 6, -4*b - b + y + q = 0. Calculate the remainder when 97 is divided by b\/10 + (-1488)\/(-60).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - z - 2. Calculate the smallest common multiple of x(3) and 46.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 x, 1 q, and 1 z when four letters picked without replacement from {q: 5, x: 2, h: 1, z: 8}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -6 + 8. Suppose k*j = 4*j + 80. Calculate the common denominator of 2 - (-98)\/j - 2 and 61\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-6)*6\/18?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-224)\/(-10) + (-6)\/(-10). Let k = -10 + o. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -3*l + 25. Let u(n) = 4*n - 37. Let i(o) = 5*u(o) + 7*w(o). Let x = -17 - -7. Let a be i(x). Solve 0 = -g - 4*j + 13, 2*j - 3 = 3*g - a*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 212035 (base 10) to base 16.\nAnswer: 33c43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 376*l**2 + 1 + 260*l**2.\nAnswer: 636*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 3, a: 5, k: 1}. What is prob of picking 1 a and 1 h?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g + 5*m = -84, 82 = 82*g - 84*g - 5*m for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -5 + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the third derivative of j**6\/840 - 11*j**5\/420 - 13*j**4\/84 - 18*j**2 + 3*j. Suppose g(t) = 0. What is t?\nAnswer: -2, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-34)\/(-7) - 8\/(-56). Suppose 12 + 0 = -4*a, -5*f - b*a = 0. Find the second derivative of 5*h**5 - 17*h**3 - 9*h + 17*h**f wrt h.\nAnswer: 100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 8577, 17157, 25737, 34317, 42897?\n\"Answer: 8580*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 9, 5, 129.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - 11*w - 18. Suppose 0 = -8*b + 2*b - 48. Let z be q(b). Solve 4*n + 6 = -z for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1000010101110 + 10011000?\nAnswer: -1000000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -70*r - 103. What is d(-1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) be the second derivative of o**6\/660 - o**4\/132 - o**2\/2 - o. Let n(i) be the first derivative of q(i). Find c such that n(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -343*w**4 + 342*w**4 - 32*w**2 - 11*w**2 + (4*w - 11*w - 7*w)*(0*w**3 - 2*w**3 + 3*w**3) - w**4 - 3*w**3 + 3*w**3.\nAnswer: -16*w**4 - 43*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18352?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1586.99999402 + -1587. What is v rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 1073, 2143, 3205, 4253, 5281, 6283?\n\"Answer: -u**3 + 2*u**2 + 1071*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 3*g + 23. Determine q(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14 and 1482?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from loolrorxrxxlxllr. What is prob of picking 3 x and 1 r?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1365.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1010 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 69\/18 - (-4 + 8).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the first derivative of z**7\/42 - z**5\/20 - 5*z + 10. Let i(v) be the first derivative of x(v). What is d in i(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -3842*j**3 + 13*j - 4. Is f(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.42 - -0.16. Let q = -3.74 + x. Which is the nearest to 0.1?  (a) -18  (b) q  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 50 - 61. Let j(n) = n**3 + 6*n**2 + 3*n - 6. Let h be j(-5). Let z(w) = 6*w + 1. Let v(c) = 17*c + 3. Determine h*v(k) + q*z(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kbkj when four letters picked without replacement from bbbkbybbjdbb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 6:45 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2 and 0.37.\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is (9\/(-18)*102)\/((-7)\/7*1)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkkrrkrjkkkrkgjknzkr. Give prob of picking 2 r and 1 j.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5652449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -1) + -5 - (116 + -118).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 216 - 215.999868. What is c rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) be the third derivative of -u**6\/360 - u**5\/60 + u**4\/24 - 6*u**2. Let g(n) be the second derivative of t(n). Determine g(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 - 4*p**3 - 4*p**2 + 4*p.\nAnswer: 4*p*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the second derivative of -2*d**3\/3 + 12*d**2 + 6*d - 4. Determine v(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 6*b**2. Let n = -35 + 37. Let f(g) be the first derivative of 3*g**n - 4239*g + 4239*g + 5. Calculate f(s(i)).\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find f such that 7*f**5 - 82*f**4 - 220*f**3 - 56*f**2 = 0.\nAnswer: -2, -2\/7, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*a**2 - 5*a**2 + 6*a**2 + (-a + 3*a - 3*a)*(3*a + 0*a - 5*a).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -77658 divided by 43\nAnswer: -1806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3140254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1026465 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 19*j**2 + 19*j - 16. Let w = -203 - -183. Is a(w) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 + -61 + (-10 - -8) + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 59 = 74. Let z(u) = u + 3. Let c be z(3). What is the remainder when 23 is divided by (-3)\/(-12)*c*8\/h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12*(-14)\/(-966))\/((-216)\/828)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*10\/54*(-1)\/20*6.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.0503*-0.27\nAnswer: -0.013581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*k**4 - 522*k**3 + 115*k**2 - 14957757?\nAnswer: 8*k**3 - 1566*k**2 + 230*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 5 - 11. Let b = a + 0. Let p = b + 6.4. Put 4, 1, p in descending order.\nAnswer: 4, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/21))**(8\/3)\/(i**(-31)*i**(-28)) assuming i is positive.\nAnswer: i**(3733\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 100101100011111110 (base 2) in base 7?\nAnswer: 1210361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -17.67 + 0.17. Let l = 5.8 - b. What is l rounded to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 3*g - 7. Let b be f(7). Let r = 6 - -1. Calculate the highest common factor of r and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -132036 (base 7) in base 2?\nAnswer: -110000010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 44839\/2 - 22420. Let c be (3 - 2) + 4\/(-3). Sort 8, c, o in increasing order.\nAnswer: o, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 56\/10 - (1 + (-35)\/25). Let w(g) = -g**2 - 18*g - 51. Let v be w(-14). Solve 4*z + 14 = v*f - 0, f = 4*z + n for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -96380 divided by -3?\nAnswer: 96380\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 128 minutes after 1:49 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**2 + 35*r + 137. Calculate x(33).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 307 - 305. Which is the nearest to -2?  (a) -1\/5  (b) m  (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -27*x - 699 + 649 + 133*x. Is 19 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10000001 - 100?\nAnswer: -10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 - -15. Let x(j) = 3*j**2 - 16*j + 6. Let o be x(v). Solve 5 + o = 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 162840 - 2606273\/16. Which is smaller: -51 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 13 = -i + p, p + 3 = 0. Suppose x + x - 4 = 0. Suppose -f = 3*t - 20, -2*t - x*t = 2*f - 30. What is the highest common factor of i and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 812 - 788. Which is greater: 13 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 76153?\nAnswer: -76152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17.7 - 21. Let g = j - 1.7. Which is the third biggest value?  (a) 1\/7  (b) -4  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/6?  (a) 0.2  (b) 5  (c) 0  (d) 94  (e) 1.97  (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 8623*j**2 - 72*j - 348. Is f(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2593517 is divided by 288157.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 8, 53, 154, 329, 596?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2540, 4859, 7178?\nAnswer: 9497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1043*m - 496*m - 523*m.\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the third derivative of -2*b**2 + 0*b**4 - 6 + 0*b**6 + 0*b + 1\/6*b**3 + 13\/35*b**7 + 1\/20*b**5. What is the third derivative of s(p) wrt p?\nAnswer: 1872*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1\/228 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m*m*m**(-4\/13))**(-2\/7) assuming m is positive.\nAnswer: m**(-44\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 32  (b) 0.3  (c) -5  (d) -27.13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -12*(-3)\/(18\/8). Let j = k + -10. Let l(x) = 8*x**2 - 33*x + 8. Let r(g) = g**2 - 4*g + 1. Let o(c) = j*l(c) - 51*r(c). Factor o(h).\nAnswer: -3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -404, -1567, -3492, -6179?\nAnswer: -9628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 458, 3464, 11626, 27524, 53738, 92848, 147434?\n\"Answer: 430*q**3 - 2*q**2 + 2*q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 10170 minus 775365331?\nAnswer: -775355161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -18039 - 5?\nAnswer: -18044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 - 5 + z - 1)*(2 + 4*z**3 + 3 - 3) to the form x*z**3 + j*z + h*z**2 + n + l*z**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -36*s + 412 + 272. Let w = 14 + -2. Calculate the remainder when s is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 2, c: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -421090 and 4?\nAnswer: -1684360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 8463 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-288*l + 161*l - 231*l)*(-l**2 - l**2 + 0*l**2).\nAnswer: 716*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 211  (b) 2  (c) -7  (d) -0.1  (e) -1  (f) -9.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12983, 12984, 12985, 12986, 12987, 12988?\nAnswer: 12989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 33*q - 13*q - 2*q**2 + 40 - 21*q to the form c*q**2 + p*q + u and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 397384?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 43\/9 + 28\/126. Suppose y*h = -0*w - 2*w + 9, 3*h = -5*w + 51. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3\/2)\/(-8*(-11)\/(-176)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9168034 is divided by 60?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u**2 - 2028*u - 4064 = 0. Calculate u.\nAnswer: -2, 1016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 + 3*c**2 - 5*c - 4*c**2 + c**3 + c as y*c**3 + k*c + q*c**2 + i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (76\/(-228))\/(2\/7)*-24?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2051*k**2 - 1025*k**2 + 8587*k**3 - 1026*k**2.\nAnswer: 8587*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -80*i**2 + 893. Let q(k) = -3*k. What is v(q(w))?\nAnswer: -720*w**2 + 893","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -365611*i - 84*i**4 - 2 + 23*i**2 + 365611*i to the form n*i**4 + t*i**2 + k*i + m + x*i**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 62572?\nAnswer: 2, 15643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 192809132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -103 + 22?\nAnswer: -d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 236 divided by -2.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2d5f7a (base 16) in base 8?\nAnswer: 13257572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -25 + (71 - (65 + -42))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -11361\/2098 at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*c**(28\/3)*c**(-34))\/((c*c**(1\/4)*c)\/((c*c**24)\/c*c)) assuming c is positive.\nAnswer: c**(-11\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/((f\/(f\/f**(4\/13)))\/f))\/f**(2\/9))**(3\/25)\/((f\/f**2)**(-2\/13)*f*f\/f**(-1\/5)*f**(-2\/9)) assuming f is positive.\nAnswer: f**(-5368\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6 - 5 + 5)*(-2*f + f + 2*f) + f - f + 2*f + (5 + 2 - 4)*(2*f + f + 0*f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + sqrt(99)*-1*-5 - sqrt(99))\/(sqrt(9)*1*2).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 2*s + 2*s)*(2 - 3 + 2)*(1 - 1 - s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 90 and 3870?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -i**2 - 3*i**2 + 2*i**2 + 2 + i**2 - 2 + (3 - 5 + 0)*(2*i**2 + 0*i + 0*i) - 20*i**2 + 2*i**2 - 14*i**2.\nAnswer: -37*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2. Let q(f) = 459115*f. What is y(q(v))?\nAnswer: -421573166450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -314770 (base 9) in base 7?\nAnswer: -1406634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -7498 divided by -117394?\nAnswer: 3749\/58697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 take away -34.8?\nAnswer: 54.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -6*f + 43. Give b(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((f\/((f\/(f\/f**(-8)))\/f*f))\/f*f)\/f)\/f)**(-8)\/(f*f**(5\/4)*f)**(8\/9))**50 assuming f is positive.\nAnswer: f**(-26500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -2*v**2. Let k(w) = -1122*w**2. Determine b(k(q)).\nAnswer: -2517768*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -42410260692 and 0.05586?\nAnswer: 42410260692.05586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -140715536, -140715535, -140715534?\nAnswer: -140715533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(5) - (1 + -2*sqrt(5))) + -2)**2.\nAnswer: -18*sqrt(5) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-12))\/((140\/(-1596))\/(15\/36))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4\/8 - 2)\/(-106*(-165)\/874500).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3467.\nAnswer: 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*p**2 + 35546755*p - 35546760.\nAnswer: 5*(p - 1)*(p + 7109352)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.4 from -1480.42882681.\nAnswer: -1480.82882681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p - 4*v + 34 - 138 = 0, -p - 7*v - 158 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -211100121022 + 0?\nAnswer: -211100121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-936)\/56 - 416\/(-26).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p - 5*p - p**4 + 482 - 965 + 482 + 47*p**3 in the form c*p**2 + z*p**3 + k*p + f + g*p**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor -578*u**3 + 1179936*u**2 + 694230*u + 102100.\nAnswer: -2*(u - 2042)*(17*u + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = 3*p - 25. Suppose -351 = -3*r - 4*j + j, 2*r - 234 = -p*j. What is the second derivative of 117 - 12*s - r - s**3 - 3*s**3 wrt s?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2294 + -2157. Which is the closest to q?  (a) -0.4  (b) -0.5  (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (-1 + 9 - 3)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 2*t - 2. Let q be i(5). Suppose -8*j + q = -4*j. Let r(n) = -3*n + 2. Give r(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 26*p - 713. Let c be s(29). Suppose -3*g + 6*g = 4*l - 52, -2*l - 10 = 0. Let r = g - -34. Solve -5*x + 3*z - c = -r, -3*x - 21 = -3*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*d**2\/7 - 60386889*d\/7 - 8626698.\nAnswer: -3*(d + 1)*(d + 20128962)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(-1 + 0) - 6. Let q be (-1)\/(16\/(-6)) - (-333)\/72. What is the second smallest value in 6, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 42\/294 + (-1)\/((-7)\/(-3))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/(24\/740) + 5832\/(-2187)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001015606 rounded to 5 decimal places?\nAnswer: 0.00102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.47 + -1.63. Let f = q - -1.88. Let l = 0.28 - f. Which is the biggest value?  (a) -1  (b) 0.9  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -228.86928 rounded to 1 decimal place?\nAnswer: -228.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 738864128 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10000011010010 + -1001000?\nAnswer: 10000010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 68\/18 + (-26)\/(-117). What are the prime factors of 38*1 + o\/(-1)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**2 + 4920*p + 24500.\nAnswer: 4*(p + 5)*(p + 1225)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 110*t + 149 + 1921 = -7940 for t.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 758563.99 or 0?\nAnswer: 758563.99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 957058*z**2 + 8 - 4.\nAnswer: -957058*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f\/(f*f**(6\/11))*f*f**13*f assuming f is positive.\nAnswer: f**(159\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3186, -3178, -3156, -3114, -3046, -2946, -2808, -2626?\nAnswer: -2394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 779*f - 13*f**2 + 39*f**2 + 26*f**2 + 7*f**2.\nAnswer: 59*f**2 + 779*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3579 - -3578.93. Put 7, b, 18 in descending order.\nAnswer: 18, 7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 152045 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -7*s + 1. Let r(m) = m + 1. Let p(t) = -d(t) - 4*r(t). Let g(w) = -2*w + 4. What is 4*g(y) + 3*p(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -692 * -0.9\nAnswer: 622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1331) + -2)**2*-5 + ((sqrt(1331) - sqrt(1331)*3)*1)**2 - ((sqrt(1331) - (-2*sqrt(1331) + -3)) + 0 + (-2 + sqrt(1331))**2).\nAnswer: -2689 + 231*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4.249508l to millilitres.\nAnswer: 4249.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(20)\/((-2*sqrt(36))\/sqrt(9)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -115*u**2 - 966 + 75*u**2 + 483 + 409 to c*u + p + b*u**2 and give b.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -161 + 171. What is the common denominator of (f\/(-720))\/((-1)\/25) and -13\/32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.12787948729 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**2 + 36*i + 117. Let d be m(-45). Which is greater: d or 524?\nAnswer: 524","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is b2b17a + -35?\nAnswer: b2b145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 192.96 rounded to 0 dps?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2416987433 to the nearest integer?\nAnswer: 49163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18 + -8. Suppose -2*f = u, -2*k + f = 2*k + 3. Let j = 272\/3 - 1354\/15. What is the third biggest value in k, j, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -15*z**2 - 1198*z + 161. What is c(-80)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19438 - 60142 = 9*m + 27066. Are -7530 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 + 8*h**2 + 15*h - 26. Let u be d(9). Suppose -4*g - 7*f + u = -8*f, -2*g - f + 20 = 0. Let x = -1 - -3. Solve 2*t + x = -g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 8736, 40373, 72010, 103647?\n\"Answer: 31637*x - 22901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2381  (b) -13\/18  (c) -5  (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in -35.49, -44, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(-2 + 2 + sqrt(468))*-2*-5.\nAnswer: -180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 4*l = x + 52, 2*x + l - 72 = 0. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 6092\/202)*(-3)\/72. Let w = i - 2\/303. Let r = 1 + -1. Sort r, w, -3 in decreasing order.\nAnswer: w, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 554 = 58*v - 140*v - 512 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-37*t + 1373 - 1373)*(-5 + 4 + 0).\nAnswer: 37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1\/999?\nAnswer: -1\/999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -35*d + 36*d + 1 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 86407 = -3*l + 27812, -4*l + 2*p = -152292. Suppose 4*q = -23527 - l. Round q to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -72930*x - 7. Let a(m) = -m**2. Calculate w(a(q)).\nAnswer: 72930*q**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*o + 10*o = -12*o + 47212. What is the greatest common divisor of 99 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 8469*j - 8256. Calculate a(1).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of -h**9\/72 - 11*h**5\/60 - 17*h**2. Find the third derivative of n(d) wrt d.\nAnswer: -840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 23424 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from oglfolttltct. What is prob of picking 1 f, 1 o, and 1 l?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 406967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (4\/12)\/((-2)\/(-24)). Solve -k - k - a - t = 0, -2*k - 8 = 2*a for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4375001041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3167541882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(343) + 1 + sqrt(343))**2 - sqrt(7)) + (sqrt(7) + (-1 + -1 + sqrt(7) - sqrt(7)))**2.\nAnswer: 23*sqrt(7) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*v + 3*k + 15, -180*k = v - 182*k - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a, 1 l, and 1 j when three letters picked without replacement from ssaassaffjls.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/256*4*6\/(-9). Let s = 1.6 - 16.6. Let i = -13 - s. Put z, i, 2\/3 in ascending order.\nAnswer: z, 2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.052 * 671.22.\nAnswer: 34.90344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.04 in -4\/3, -0.2, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -34016*l - 166112 wrt l.\nAnswer: -34016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 218 in 5\/3, -2, -145, 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -5*z**5 + 112*z**4 + 1041*z**3 - 1864*z**2 - 16828*z + 6960 = 0. Calculate z.\nAnswer: -6, -5, 2\/5, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of 143*a**4\/6 - 56*a. Let q(j) = -j. Determine u(q(r)).\nAnswer: 286*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -14678*z**4 - 6548*z**2 - 176217525 wrt z.\nAnswer: -58712*z**3 - 13096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -718 + 13276?\nAnswer: 12457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -455772.\nAnswer: 1\/227886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 35205 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 109587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 130 a factor of 9880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*v**4 + 249775*v**3 + 707747*v**2 - 124896*v = 0. Calculate v.\nAnswer: -3, 0, 1\/6, 41632","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 2 e when four letters picked without replacement from sccresiecc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 9) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 873139*a - 435988*a - 437141*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -443 + 3099\/7. Sort 0.5, s, -10\/7 in ascending order.\nAnswer: -10\/7, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 23803876 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -6*r. Let f be l(-1). Suppose 0 = 5*y + 3*j - 0*j + 24, f = 3*j. Let d be (-12 - -27)*(-2)\/y. Solve d*v + 0*v - 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 636*t**2 + 51*t - 328. Is y(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 19148*h - 226. Let z be x(-33). Round z to the nearest ten thousand.\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -11071115\/4 or -2767778?\nAnswer: -2767778","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*p + 0*p + 1 + 1)*(-2 + 2 + p) + 0*p + 0*p - p**2 + (3*p**2 + 3*p**2 - 5*p**2)*(35 - 59 + 111) to r*p + x + a*p**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jlxmfxjf. What is prob of sequence xf?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*i - 4*i - 5*i - 3*i - 8*i + 21*i + 5*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*f + 5*m = 19, -6 = -3*f - 6*m + 3*m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3007433066 - -4?\nAnswer: -3007433062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bggqwbg. What is prob of picking 1 q and 3 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the third derivative of c**5\/12 + 25*c**4\/12 - 631*c**2. Factor a(m).\nAnswer: 5*m*(m + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide (5\/((-15)\/(-147)))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 85 - 85.1. Let j = f - 5.1. Round j to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103, 50, -39, -164, -325, -522?\nAnswer: -755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 100488658?\nAnswer: 2, 50244329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 7) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-66)\/429*(3 - (-44)\/(-6)). Find z such that -2*z**4 + 2*z**2 - y*z**5 + 0*z + 2\/3*z**3 + 0 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 412202 (base 5) to base 11\nAnswer: a0a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -14871, -2\/5, 0?\nAnswer: -14871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 376774, -3\/7, 1\/5, 433 in decreasing order.\nAnswer: 376774, 433, 1\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/(-6))\/(190\/57).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2041\/10 + -209. Find the common denominator of 108\/(-2592)*((-388)\/(-3) + 0) and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -42878, -42874, -42862, -42836, -42790?\nAnswer: -42718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of -k**6\/360 + 4*k**3 + 4. Let z(m) be the third derivative of t(m). Let y(a) = -2*a. Determine y(z(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*y**3 + 9*y**3 - 15*y**3)*(1032*y + 1051*y - 2111*y - 4).\nAnswer: 364*y**4 + 52*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = 5*r - 3. Let t be x(1). Suppose 17*q + t*m = 18*q - 251, 3*m + 762 = 3*q. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 2 = 14. Let g be a + (-51)\/((-1)\/1). Suppose 0*c + g = w + 2*c, w = 2*c + 60. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 117 - 131.1. Let w = d + 13. Let n be 2 - 10 - -3 - (-539)\/105. Which is the third biggest value?  (a) w  (b) n  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 6, b: 1, z: 5, o: 6}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**13\/((h**13\/h*h)\/h) assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -4*m + 77. Let b = -72 + m. Solve b*q = 21 + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1200010001011 - -210?\nAnswer: -1200010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 63 = 3*u, 2*u + 49 + 53 = 3*s. Let z = -33 + s. Suppose -z*r = -4*r + 2. Solve -4*o + 0*o = -g - 8, -r*g = -o + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10 - 7. Suppose h = 1 - m. Let k(l) = 2*l + 9. Let w be k(-6). Put w, 0, h in ascending order.\nAnswer: w, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (-3*5*(sqrt(432)*3 + sqrt(432))*-5*-6)**2.\nAnswer: 1399680003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.7 - 0.676. Let a = -0.4905 - 0.0435. Let x = a + j. What is x rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1\/((14\/555)\/14). What are the prime factors of (-2)\/15 + 356384\/n?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -208118a (base 12) in base 4?\nAnswer: -113122332322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*a - 30*a + 5208. What is the highest common factor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 n when two letters picked without replacement from {b: 2, w: 1, u: 2, c: 1, e: 1, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -32141 divided by -1.\nAnswer: 32141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -482357*r**3 - 1883*r**2 + 93 wrt r.\nAnswer: -2894142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 3.4, 33, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -118257682*h**5 - 88511793*h**2 wrt h?\nAnswer: -7095460920*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14205869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 147*m**2 - 5*m. Let c(z) = -291*z**2 + 10*z. Calculate -3*c(q) - 7*f(q).\nAnswer: -156*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 1 = -2*m + 1, m = -5*v + 19. Let p(o) = o. Let j be p(4). Put j, 5, m in increasing order.\nAnswer: m, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 627\/2*(143 - 135). What is the highest common factor of 308 and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.2 + 0.1. Which is the closest to 1\/6?  (a) 3\/4  (b) p  (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 120 - 103?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 11433635 times 33\nAnswer: 377309955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1017351197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = -g - 4. Let o(x) = -128. What is 10*m(j) + o(j)?\nAnswer: -10*j - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1 - -687a09?\nAnswer: 687a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*o - o + 22 = 0, 0 = 5*v + 3*o - 26. Solve v*z + 16 = 4*n, n - 2*n = 5*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-69)\/(-46) - (-36 + 37)\/((-4)\/298698).\nAnswer: 2, 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*u - 3*v + 5 = 3*u, -5*u - 23 = -v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4867, 9706, 14545, 19384, 24223, 29062?\nAnswer: 33901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34 and 1394?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 121 and -4.\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 553 - 361. Suppose 38*o - u = 568. Calculate the highest common divisor of 700 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7097931.\nAnswer: 3, 788659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/40)\/(21\/6)*42*26\/182.\nAnswer: -3\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 33481*d = 33316*d + 6435 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-6)\/26 - 12369\/19747)\/(2\/(-39256)).\nAnswer: 2, 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -1125*o + 346*o + 433*o + 348*o. Let d = -3 - -3. Let f(m) = 0 + d - 6*m**2. Determine k(f(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10396 + 10396 - 222*i**2 + (3 - 2 + 1)*((3 - 1 + 0)*(i - i - 2*i**2) - 2 - 2*i**2 + 2) to the form f + c*i + g*i**2 and give g.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (48 - -2) + (-69299)\/1587. Solve -121*x - 55\/3*x**2 - 1\/3*x**4 + 0 + g*x**3 = 0 for x.\nAnswer: -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-4)\/(-6))\/(3\/45).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -154 - (-23 - -2 - (-91 + 48 - -43)).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2284?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 9139 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: Is 162781979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from mmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*x**2 - 2*x**2 + 0*x**2 + (-x + 1 - 1)*(0*x + x + x) + (3*x + 3*x - 7*x)*(2*x - x - 3*x) - 3*x - x**2 + 3*x.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = -4*y - 3*b, -b - 2*b = 5*y + 20. Let d be y*(-1 - (3 + -2)). Factor a**4 - 4 + 4 - d + a**3 - 5*a - 3*a**2.\nAnswer: (a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7380588887?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 451 = -48. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/h**(-23)*h)**7\/(((h\/(h**(-37)*h))\/h)\/h**(17\/3)) assuming h is positive.\nAnswer: h**(455\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + t - 11 = 0, 5*v - t = 2 + 23. Suppose 0*u + u = v. Is 3*u - (1 - -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -10 + (-7 - -5) + 7 + 20\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 48 and ((-2 - 70) + -1)*6\/(-48).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1585 and 10442297.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:35 PM and 11:23 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -114*w + 113 = -149 - 80 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 168709, 338103, 507497, 676891, 846285?\n\"Answer: 169394*z - 685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 12, j: 7}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*g - 2981 = 5*g + 2*u, -u = 3. Let o = -566 - g. Calculate the greatest common divisor of 928 and o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 - 2 - (-23 - -23)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 196*f**2 + 978*f - 12. Let o be w(-5). Let x = -1.1 + 0.7. What is the second smallest value in x, o, -1\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2660308\/117 + 22738. Let a = y + -4\/39. Sort a, -1\/3, -2, 6 in decreasing order.\nAnswer: 6, a, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 3*z = 127, 219 = -2*s - 5*z - 46. Let f be 200\/90 - 4\/18 - 234. Let t = s - f. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -444, -355, -74, 507, 1496?\n\"Answer: 18*x**3 - 12*x**2 - x - 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*c - 15 = k + 4*k, -3*c - 17 + 20 = 3*k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1950.935991 to the nearest integer.\nAnswer: 1951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6952468, 13904928, 20857388, 27809848, 34762308?\nAnswer: 41714768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 5342050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:14 AM and 1:48 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 r when three letters picked without replacement from {y: 8, m: 3, g: 4, r: 4}?\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 637 + -634. Let o(p) = p**2 - 4*p. Let f be o(4). Which is the smallest value?  (a) f  (b) y  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 212*q**4 + 223*q**3 + 4*q**2 - 1131245*q wrt q.\nAnswer: 2544*q**2 + 1338*q + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4605 = 34*w - 35549. Let i(c) = -w + 1181 - 2*c**2. Let q(y) = 190*y. Give q(i(k)).\nAnswer: -380*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 - 4*m - 55. Let k be w(10). Suppose 2*y + y + 1092 = k*h, -h - 5*y = -196. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 23*q**2 - 12*q + 30. Is h(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28*m - 19840 = -52*m. What is the highest common factor of 24 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 108 - 85 = 4*n - 7*n, -3*n + 12 = n for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 30121 - 10?\nAnswer: 30111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2699 + -0.1301. Sort -0.0286, -5, 2\/9, u in decreasing order.\nAnswer: 2\/9, -0.0286, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = 3*h**3 + 6*h**2 - 3*h + 4. Suppose 7 - 15 = -a. Let b be o(a). 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: -2 + -10 + 14 + 2 + 46 - 13 - 13\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**3\/4 - 15*n**2\/2 - 783*n\/4 - 188.\nAnswer: (n - 47)*(n + 1)*(n + 16)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = c - 3. Let b(s) = -12*s + 34. Let r(m) = -b(m) + 3*v(m). Find the first derivative of r(g) wrt g.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 17 = t + 5, 2*t = 5*f - 2. Suppose -5*b + 119 = t*d, -5*d + 2*b = -2*b - 118. Is 20 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -360.797274 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 129*j - 31. Suppose -10*r = -r - 36. Let o be v(r). Suppose 2*a = o + 101. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 52, 196, 436, 772?\n\"Answer: 48*a**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 2\/3, -45, 0, 0.4, -3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3 + -3.28. Let u = 0.58 + m. What is the nearest to -3 in 3\/8, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 4*z**2 - 3*z - 46. Let y be f(11). Let v = y + -259. Let q be 30\/75 + v\/10. Solve -8*r + 3*r = q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -2\/4341 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (6735\/30 - 3)\/(1\/14)?\nAnswer: 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 + 0.18. Let w = r + 1.8. Let c = -7 + 11. What is the closest to w in c, -3, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 840 = -262*b + 202*b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 244 + -9. Let o = -245.7 + l. What is o rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i = l - 20, 2*l + 51*i - 54*i = 12 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z**2 + 347 + 393 - 740.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 103950 divided by 825?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and 1084.\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2 - 10*x + 21. Determine d(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 206 = -4*k + 267, -3*k = -3*r - 66. Let a = -1 - -1. Solve -k*x + 10*x + 3 = a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*a - 11 = 7*a + 3*m, -49*m + 14 = 3*a - 53*m for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((3 - 2 - 2)*(2*i**3 - 3*i**3 + 3*i**3) - i**3 - 2 + 2 + i**2 - i**2 - 5*i**3)*(0 - 1 - 1) to g + t*i**3 + l*i + x*i**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 + 4*o**2 - 4*o. Let c(j) = -j**3 + 5*j**2 - 5*j. Let a(x) = 4*c(x) - 5*u(x). Let w be a(1). Which is smaller: w or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 128 divide 492228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -275*a - 287 - 538. What is the closest to 8 in 0, a, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3239 and 246?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - 1 = 4. Let o be (-1089)\/234 + 4*8\/208. Which is smaller: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 3385 = w, 3*w - 5*z = -0*z + 10153. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -3*z + 2, -2*p + 4 = -0. Calculate the remainder when 13 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 47 + -43. Suppose m*c - 10*c = -180. Let g be (-4)\/6 - c\/(-45). Solve -3*s + 4 = f + 1, -s + 1 = g for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 613 divide 56035556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -33697 + 33696.94. Let l = 1.1 + 0.8. Is b bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) be the third derivative of g**8\/2240 + g**7\/630 + g**6\/240 - 9*g**4\/8 - g**3\/3 + 197*g**2. Let m(p) be the second derivative of q(p). What is m(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 21*u + 14*u - 12*u + 4*u - 3*u - 3*u + (3 - 8 + 3)*(-2*u - 2 + 2) to z + q*u and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 43.346 to 1 dp.\nAnswer: 43.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -16.2 + 15. Let b = 1.197 + u. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1bc25065 - 5?\nAnswer: -1bc2506a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-380)\/6650*1*7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -302*n**3 - 2983*n + 2983*n + (5*n**2 + 5 - 5)*(5*n - n - 3*n) as z*n**2 + m + f*n + s*n**3 and give s.\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1990*o**3 - 2680*o**3 - 2203*o**3.\nAnswer: -2893*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 375 and 156825?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v + 2*y - 2 = 0, v + 2*y = -y - 1. Suppose 1 = -v*s - w, -2*w + w + 1 = 4*s. What is the nearest to -0.4 in 3, -2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**2 + 6*k + 6. Let b be l(-4). Let i = b + 16. Calculate the smallest common multiple of i and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -187*x**2 + 456*x**2 - 291*x**2.\nAnswer: -22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = -2*r - 5*y + 3, -2*y = -2*r - 10. Let p = -0.06 - -2.06. Which is the third biggest value?  (a) -2\/11  (b) p  (c) -4  (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) be the second derivative of 1\/6*h**4 + 0*h**2 + 9\/2*h**3 - 21*h + 0. Find the second derivative of o(n) wrt n.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 104  (b) -138\/7  (c) -5.46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -h**3\/2 - 21*h**2\/2 - 147*h\/2 - 343\/2.\nAnswer: -(h + 7)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 - (-12)\/(-8))*-6*-1. Suppose 2*d = -5*j + 24, 3*d + j = 2*j + 19. Solve c = -p + 2*c - w, 0 = p + c - d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -72*w - 10. Let y(v) = 230*v + 32. Let u(k) = 16*s(k) + 5*y(k). Let t(o) = o + 20. Determine t(u(h)).\nAnswer: -2*h + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -0 - 1. Let g(h) = -h. Let o be g(b). Let i(v) = -2*v**2 - v. Let w be i(o). Is 2\/5 less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19193 is divided by 582.\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) be the first derivative of -4 + 4\/7*m**3 + 4\/7*m**2 + 2\/35*m**5 + 2\/7*m + 2\/7*m**4. Factor j(c).\nAnswer: 2*(c + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 760*y - 766*y = 90 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = l**3 + 2*l**2 + 2*l + 1. Let q be n(-2). Suppose 10 = -2*t + 7*t. Suppose 0 = 4*m - m + 2*f, 2*m + t*f = 2. Which is greater: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 7:26 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -10*w - 1. Let a be q(-5). Let b = 31 + -31. Let c(g) = -g + 7. Let v be c(b). What is the highest common divisor of v and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -206.105 + 256.78\nAnswer: 50.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 880768387?\nAnswer: 37, 23804551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 759 and 805?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 - -11. Let f be (-3)\/(-6) + d\/8. Suppose f*w = 5*v + 2, 4*w = w + 2*v + 25. Is 2 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -6*j**4 - j**3 + 5*j**4 + 2*j**3 + (3*j**4 + 4*j**4 - 5*j**4)*(1 + 0 + 1) + 9*j**4 - 3*j**4 - j**4 - 54*j**4 + 53*j**3 - 53*j**3.\nAnswer: -46*j**4 + j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 23\/(1173\/(-136))*2\/24?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 4*h - 3*h = 1505, 0 = -4*m - h + 1205. Suppose 2*i = q - 70, m = 6*q - 2*q + 2*i. List the prime factors of q.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = -2*a + 8318, -3*n - 297*a + 296*a = -6239. What are the prime factors of n?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1097 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 153 minutes after 8:35 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g*g\/(g*g**(3\/7)\/g)*g*g*(g*g**(-2))\/g)\/(g**(2\/5)*g**(-4\/3)))**24)**(-4) assuming g is positive.\nAnswer: g**(-8416\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {o: 3, c: 8}.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -839 - -1249. Suppose -3*z + 3*r + r + o = 0, 3*r = -6. List the prime factors of z.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 16*a - 15*a - 17. Suppose -2*w = q - a, 2*q - 76 = -q - w. Solve -4*k - q = -4*c + k, 12 = -c - 5*k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(-11) - (-246)\/(-99). Let x = 165 + -169. Which is smaller: x or i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -r**4\/4 + r**3\/3 - 22*r - 81. Give b(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/9239 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 - 1)*(-k + k - k)*(-2 - 6 + 0) + (-6*k + k - 3*k)*(2 - 2 + 2).\nAnswer: -40*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 138202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = -109 + 103. Let k be 1 - (-10 - (0 - 0)). Suppose -4*g + k = 3*n, -2*g + j*n = n + 7. Are -7\/3 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is a03 - -2375?\nAnswer: 2d78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put together -112 and 133831.\nAnswer: 133719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1006 - 1006.0606. Let g = 0.3606 + h. Which is the nearest to 7\/3?  (a) 4  (b) g  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 3 = -4*a, -3*t + 5*t - 6 = 4*a. What is the derivative of 8*c - 7 - 2 + t - 20*c wrt c?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((sqrt(192) + 0)*4)**2.\nAnswer: 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2859?\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(266)\/(-3*sqrt(7)))\/(3*sqrt(32) + sqrt(32)).\nAnswer: -sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1350346*z - z**2 - 1350346*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.01976 + -0.02. What is x rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1043\/346 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -70, -40, 2, 50, 98?\n\"Answer: -y**3 + 12*y**2 + y - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*r**3 + 0*r**3 - r**3 + (2*r + 2 - 5 + 4)*(-3*r**2 - 3 + 3).\nAnswer: -3*r**3 - 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -44267\/11 - -4022. Find the common denominator of q and 1\/19.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4887407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13.65 - -76.88. What is q rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 7\/36 + 1\/36. Put 2, w, 1.08 in descending order.\nAnswer: 2, 1.08, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -79  (b) 1\/2  (c) -1\/7  (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -10*r + 3. List the prime factors of 12\/r*(-738)\/(-24).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(208) - (sqrt(208) + sqrt(208) + 2 + 2) - (5 + -1 + sqrt(208) - sqrt(208)))**2*-5.\nAnswer: -2720 - 640*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2 + 202123?\nAnswer: 202121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the first derivative of o**3 + 30*o - 194. Let h(l) = -4*l**2 - 29. Let z(t) = 2*h(t) + 3*k(t). Let y(g) = g**2. Determine z(y(p)).\nAnswer: p**4 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31 + 14 = 17*r. What are the prime factors of (-3704)\/(-3) - 7\/21*r?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -g - 7. Let n be g\/7 + (-10)\/35. Let v(l) = -l**2 - 4*l + 3. Let y be v(-5). Is n greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3*f = 15, -5*f - 15 = -l - 2*f. Solve l*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2823 - 2823.2. Put i, 43, -1\/3 in descending order.\nAnswer: 43, i, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-7 - 0)*(3 - 6). Let a = b + -18. Is 4 a factor of 40\/(-30)*a\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 874 and 171?\nAnswer: 7866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108)\/sqrt(4)*-6)\/(4*-4*sqrt(9)).\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 661, 2955, 6773, 12115?\nAnswer: 18981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12 - 2 - 13 - (-6 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 182b14f1 + 4?\nAnswer: 182b14f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.059904273 rounded to five decimal places?\nAnswer: -0.0599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-4 + sqrt(704)*-1).\nAnswer: -48*sqrt(11) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (536\/(-6))\/(55448\/41586)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l. Let o be 0\/((-3)\/5*(-5)\/(-1)). Let m(g) = o*g + 4*g + 96*g. Give m(p(z)).\nAnswer: 100*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -122  (b) -2\/7  (c) -2  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = w. Calculate f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2*x - x - 2*x)*(0*x - x + 5*x) - x**2 + 0*x**2 + 0*x**2)*(1 - 6 + 4)*(0 - 4 + 3).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 4*v. Let z(f) = -9*f. Let x(k) = 5*r(k) + 2*z(k). Let a(u) = -59*u. Let i(d) = 30*d. Let m(y) = -3*a(y) - 5*i(y). Determine x(m(t)).\nAnswer: 54*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -2*j - 32. Let r be y(-22). Suppose 4 = -8*m - r. Sort -3, 6, m in descending order.\nAnswer: 6, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -5*m**3 - 62*m**2 - 69*m - 15. Let l(r) = r**3 + 12*r**2 + 14*r + 3. Let s(b) = -2*j(b) - 11*l(b). What is s(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 2*g = 12. Sort 18, -4, g in decreasing order.\nAnswer: 18, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5054 (base 14) to base 7\nAnswer: -55134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u = -2*u. Let v(q) = -q + 8. Let y be v(0). Let x = -6 + y. Solve u = g + x*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 41*r**2 - 3*r**3 - r**3 - 39*r**2.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1548 + -1496. Calculate the greatest common divisor of i and 84.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -321 + 817. Calculate the greatest common divisor of b and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10\/(-8)*(486\/(-120) - (-7 - -3)).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((p**(-5\/6)*p)\/p*p)\/p**(-1\/9))\/((p**(-1)\/p)\/((p\/(p*p**(1\/5)*p))\/p)))\/(p**2\/(p\/(p*p**(-8\/3)))*(p\/(p\/(p*p**2)))\/p**6) assuming p is positive.\nAnswer: p**(337\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*f - 1059 = -339. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -93999*w**2 - w. Let u(d) = -2*d - 3. Let m be u(-2). Let i be h(m). What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**2 + 11*m - 5. Calculate l(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -11\/2 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = -8. Let d be (-600010)\/20 + 2\/q. Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -15 and 52831?\nAnswer: -792465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -c**3 - 3*c**2 - 4*c - 4. Let g be l(-2). Suppose g*x - 28 = -4*x. Is 2 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*b + 33*b + 0*b.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2, -2, -12, -28?\n\"Answer: -3*g**2 + 5*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in k - 5*k - 5*k + 804 + 2*k.\nAnswer: -7*k + 804","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -140*r - 63 = -102 - 241 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) be the first derivative of -b**3\/6 - b - 2. Let u(n) be the first derivative of i(n). Let z(k) = -4*k + 7*k - 3*k - 2*k. Determine 8*u(c) - 3*z(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -11002 (base 3) in base 2?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -541, -1077, -1613, -2149?\n\"Answer: -536*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 51*t + 66*t - 40*t. Let p(a) = -2*a + 173 - 349 + 176. Give j(p(z)).\nAnswer: -154*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 13*f - 923. Let v be r(71). Let x(p) be the third derivative of 0 + v*p + 10*p**2 + 1\/12*p**4 + 1\/2*p**3. What is x(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 144384131971 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8445 - -22557. Is v a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zbx when three letters picked without replacement from {x: 1, y: 2, b: 2, z: 2, p: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -752 divided by 2.\nAnswer: -376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5003?\nAnswer: 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -3ce5 (base 15) to base 8\nAnswer: -31360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 s when three letters picked without replacement from sdssddd.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (55\/5)\/11*6\/4*-4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -7?  (a) -98  (b) 6  (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.39 + -1.07. Let y = d - 85.32. Let j = y - -86.00000276. Round j to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -0.01, 0, 2, -3\/4, 29, -6 in decreasing order.\nAnswer: 29, 2, 0, -0.01, -3\/4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + 627 = 2*k, 555 = 2*k - 3*s - 66. Suppose -9*x + 8*x = -k. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-8)\/4 - (-2 - 0). Suppose 0 = 4*l - 2*g + 56, l + 2*g + 19 = -o*l. Is 5\/(-25) - 1278\/l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -4*j + 24. Let f = 112 + -88. What is the greatest common factor of f and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (54\/135)\/((-4)\/7678). Let a = c + 775. What is b in -4\/5*b**3 - 12\/5*b + a - 4*b**2 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q - s + 665 = 662, q - 5*s = -6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o**3 + 121*o**2 - 1267*o - 24. Determine q(47).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/1*(0 - -4). Find the third derivative of -p*j**2 - 15*j**5 + 13*j**5 + 6*j**2 + 15*j**5 wrt j.\nAnswer: 780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/(r\/(r*r\/(r\/((r\/(r*r\/(r\/(r*r*r**(-2\/21)*r)*r))*r)\/r))*r))*r)\/r*r\/r**(1\/3)*r**(-2\/61)*r**25*r assuming r is positive.\nAnswer: r**(34240\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 6286 and 13021?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1855652184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 483093.\nAnswer: 3, 13, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -64, 25, 5, -2\/3 in increasing order.\nAnswer: -64, -2\/3, 5, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 41 divide 8282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c + 44 + 43. Let z = 89 + c. What is the third derivative of 32*y**z - 15*y**3 + 6*y**3 - 12*y**3 - 6*y**3 wrt y?\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 20\/(-4 + (-664)\/(-164)). Let a(u) = 2*u**3 - 7*u**2 + 7*u. Let b be a(5). Suppose q - g = -b. Round q to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 4\/6*(-30318)\/(-4). Suppose -3*x - 4*u = -u - 3033, -4*u = 5*x - t. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1338*r**2 + 1266 - 635 - 631 in the form t*r + i + c*r**2 and give c.\nAnswer: -1338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 494784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -17*k + 397. Calculate y(23).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 112 = 4*d + 14, 3*s = -5*d + 123. Solve -55 = d*b + 41 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 56, 121, 168, 191, 184, 141?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = t - 3. Suppose -5*h + 2*h = -9. Let r be n(h). Let a be 27*182\/(-378) + (-2)\/612*-3974. Which is greater: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a48 (base 14) to base 8.\nAnswer: 3750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-20)\/1*(-83)\/(-1162).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, h: 2, r: 3, m: 4, x: 2}. Give prob of picking 2 r and 1 x.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-450)\/(-117) - 4 - ((-288)\/(-260))\/(-2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8\/15 - 2\/15*q**3 + 2\/15*q - 8\/15*q**2 = 0. What is q?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) be the third derivative of 0*s + 1\/60*s**5 + 19*s**2 + 0*s**3 + 0 + 0*s**4. Let d(o) = 21*o. What is c(d(r))?\nAnswer: 441*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 260771220 divided by 2620.\nAnswer: 99531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000031492973 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 155406*s**2 - 155406*s**2 + 5*s**3.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/5  (b) 5\/4  (c) 20850  (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5336 and 812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -6*x - 1. Let w(n) = 9*n**2. What is m(w(t))?\nAnswer: -54*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 1327, 3759, 6191?\n\"Answer: 2432*c - 1105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 272.581 rounded to the nearest 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 + p**2 + 5*p + 7. What is c(5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -12 - -11. Let r be (d + 0)\/((-5)\/20). Let f = 18 + -8. Calculate the highest common divisor of f and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 3*c = 414. Suppose -1 = -a + 1. Suppose c = 4*b + a*b. List the prime factors of b.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the third derivative of v**7\/1680 - v**6\/720 + v**5\/10 - v**2. Let y(f) be the third derivative of c(f). List the prime factors of y(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) be the second derivative of -k**6\/15 + 3*k**5\/10 - k**4\/6 - k**3 + 2*k**2 - 42*k. Solve l(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 153381.\nAnswer: 3, 29, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -77\/5 + 991\/65. Let w be 175\/98 - (-27 + 29). Which is the nearest to -1?  (a) w  (b) x  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31*i + 28*i + 11*i.\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 710347 and 645770?\nAnswer: 7103470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 430 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 13815 and 1099060.\nAnswer: 9891540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27522*y**3 + 27482*y**3 + 11*y**2 - 55027*y**3 - 11*y**2.\nAnswer: -23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y = a - 3*y - 5, 3*y - 18 = -5*a. Suppose -j = k + 3*k - 547, 5*j + 439 = a*k. Is 10 a factor of 6\/30 - k\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*532\/3705 - (-2)\/(-10).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -16\/57 + -1\/19. Let v = -1\/24 - 19\/120. Suppose -6*f + 4 = -8*f. What is the nearest to v in f, -0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1141534.\nAnswer: 2, 131, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 118*g**2 - 438*g + 2199. Calculate j(5).\nAnswer: 2959","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(91) - (sqrt(91) + sqrt(91) + (sqrt(91) - sqrt(91)*-1 - sqrt(91))))\/sqrt(7) - (-5 + 1*sqrt(13) - sqrt(13))**2.\nAnswer: -25 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 215, 220, 223, 224?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uau when three letters picked without replacement from {u: 5, a: 7}?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + s + s)*(5 - 4 + 0) - 10161*s + 19643*s - 3 - 10945*s.\nAnswer: -1462*s - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2141 is divided by 261.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/19 - 223636\/(-1862). Let x be 2\/9 + 3072\/27. Let j = h - x. Calculate the remainder when 22 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -811, -1409, -2007, -2605, -3203, -3801?\nAnswer: -4399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - j - 340 = -6*j. Solve 0 = j*n - 30*n, -i - 5*n - 5 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*j + 0*j - 5*j + (-2*j - 2*j + 5*j)*(3 + 3 + 2) + (3*j + 2*j - j)*(0 + 1 + 0).\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 247 a factor of 590577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:12 AM and 10:32 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 6371655239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 5*u = -31, u + 2 = -3. Suppose 0 = -3*r + 5*x - 10, -4*x = -s*r - 5*x + 15. Let w = 0 - -1. Which is the biggest value?  (a) r  (b) 4\/5  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 194, 778, 1752, 3116, 4870, 7014, 9548?\nAnswer: 12472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) be the first derivative of -100*j**2 - 6*j + 90. List the prime factors of o(-2).\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-1)\/2*(-1)\/(10\/2)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*2*((1*sqrt(204)*-3)\/sqrt(12) + sqrt(612)*-3 + 1 + -4) + 3.\nAnswer: 21 + 126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*y = -179*o + 175*o + 12, 3*y = -2*o + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {v: 7, b: 8, a: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 21 + -17. Suppose -6*p + 314 = -a*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 21156*v + 21164. Give d(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 223.3 to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1 - -1. Suppose -2*k + 103*k - 14*k - 1044 = 0. Solve k = -4*v - r*v + 4*z, z = 5*v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i**5 + 0*i**5 + 2*i**5)*(443 + 113 + 444 + (0 + 1 + 0)*(-2 + 1 + 0)).\nAnswer: 1998*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*v**3 - 3*v**3 - 7*v**3 - 18*v**3 + 22*v**3.\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53 - 49. Let h be (2\/(-12))\/((-4)\/16). Sort z, h, -0.4 in increasing order.\nAnswer: -0.4, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.004257759813 rounded to 6 decimal places?\nAnswer: -0.004258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = n + 5, -4*g - 3*n - 1 = -3*g. Suppose 65 = g*a + 5*t, a - 3*t - t = 52. Suppose -5*s + a = -s. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 202449, 404894, 607337, 809778, 1012217, 1214654?\n\"Answer: -s**2 + 202448*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -37*w - 128*w + 125*w.\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x**1*x))**(-1\/13)\/((x\/x**1)\/x**6))\/((x\/(x**4\/x))\/((x\/x**(-3)*x)\/x))**(-20) assuming x is positive.\nAnswer: x**(-1481\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d**2 + 4*d + 1. Let l be i(3). Suppose l*a - 276 = g, 3*a + a + 5*g - 252 = 0. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (150\/(-60))\/(40\/432)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**2 - 13*y + 11. Let q(t) = -15*t**3 - t**2 - 4*t - 4. Let h be q(-1). What is p(h)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 71 + 37 = -18*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*1\/(4*2\/32).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 448600 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2\/(-4))\/(1\/(-6)). Suppose 507 - 513 = -2*u. Differentiate 6 - 14*i**4 + 24*i**n - 24*i**u with respect to i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 22, -3, 1, -4 in descending order.\nAnswer: 22, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9.92 - -10. Let p(j) = -2*j**3 - 128*j**2 + j + 63. Let h be p(-64). What is the second smallest value in h, -3, 7, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1009 or 966?\nAnswer: -1009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = -4*a**3 + 9*a**2. Let n(y) be the third derivative of y**6\/60 - y**5\/12 + 504*y**2 - 3. What is -7*n(q) - 4*w(q)?\nAnswer: 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = 10*n**2 - 631*n - 3091. Calculate r(68).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of ((-60)\/(-24)*6)\/((-3)\/(-2)) and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - 9 = l. Let i be (1 + 3)\/(1 - -1). Find the third derivative of 3*y**i + 0*y**l + 2*y**2 - 4*y**3 - 4*y**2 wrt y.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s\/(s**(-2\/5)*s)*s)**(2\/25)\/(s**2\/(s\/((s\/s**8)\/s))) assuming s is positive.\nAnswer: s**(899\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + -1 + -8 - 22.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-42)\/(-390)*13 - (-84)\/(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -w**2 + 30*w + 23*w - 52*w + 118*w**3 in the form x*w**2 + s*w + r + o*w**3 and give o.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7613*r + 57108 + 538149 = 18753*r - 907605 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4258 - -4272.46. Are -0.4 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6.63  (b) 787  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 17 - -1. Suppose -3*o + 22 = 5*n, -4*o = 2*n - n - c. Suppose 0 = -4*a - 0*a + o. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -6*o**2 + 40*o + 17. Let m be h(7). Suppose m*d + 4*n = 2042, 16*d = 19*d + 2*n - 2032. Is 12 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 9*d**3 + 7*d**3 - 981 + 956 + 15*d**2. Let k(m) = 5*m**3 + 5*m**2 - 9. Let z(b) = -11*k(b) + 4*q(b). Differentiate z(p) wrt p.\nAnswer: 27*p**2 + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.581 and -38.8.\nAnswer: -100.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - (-6)\/4)*0. Let m = 7454759\/14 + -532712. Let r = 229 + m. Which is smaller: r or h?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gwx when three letters picked without replacement from wgwoowwwxxowgwg.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4360775 and 8721550.\nAnswer: 8721550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (211\/1688)\/(2\/(48\/1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that -m**4\/7 - 38135*m**3\/7 + 190713*m**2\/7 + 495827*m\/7 + 38140 = 0.\nAnswer: -38140, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 310 = -5*g, -6*g = -2*g + 3*h - 220. Let p = g - 28. Suppose 3*d - 8*d = -p. What is the greatest common divisor of d and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 59 minutes before 4:14 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round 17.61473698 to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4878 or -4494?\nAnswer: -4878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + s**2 - s + 1. Let f be r(0). Let l be (-4)\/(-20) + (-67)\/385. Let k = l - -9\/77. Sort 2, f, k in decreasing order.\nAnswer: 2, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 8504 + -8503.8. Let l = 14.93 + -15. What is the second biggest value in -2, l, s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h - 4*x - 21, 9*x - 5*x - 19 = 7*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -179\/8040 and -83\/12060.\nAnswer: 24120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 979697, 1959393, 2939089, 3918785?\n\"Answer: 979696*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28 + 8. Suppose -y = o - 9. Which is smaller: y or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**6\/d*d**(-1\/7)*d*d)\/((d**(2\/9)*d)\/(d\/(d\/(d*d\/((d*d*d**(1\/9)*d*d)\/d))))) assuming d is positive.\nAnswer: d**(95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b**2 - b**2 + b**2)*(-2 + 1 + 0)*(3 - 2 + 1)*(-16*b**3 - 13*b**3 + 53*b**3).\nAnswer: -96*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 0.03  (b) 6  (c) -1  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 160201224 at least 160201222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 16, a: 4}. What is prob of sequence raar?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1852717 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = i**3 + 18*i**2 + 32*i - 6. Let s be d(-16). Let f(k) = -5*k**3 - 30*k**2 - 3*k - 13. Let c be f(s). Let z(g) = -g**2 + 4*g + 1. Determine z(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.9516ml in litres?\nAnswer: 0.0169516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -32, -126, -284, -506, -792?\nAnswer: -1142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17 or 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/2 - (-13)\/6) + 99\/(-33). Which is the closest to -1\/2?  (a) -2\/11  (b) 3\/2  (c) -7  (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 26348.37 to the nearest 10.\nAnswer: 26350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -2*a**3\/9 + 1336*a**2\/3 - 12010*a\/9 + 2668\/3 = 0.\nAnswer: 1, 2, 2001","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 85442.00000047591 - 85442. What is w rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 412 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13261668 - -25900904. Let y = b - 33939236. Round y to the nearest 1000000.\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = 60303*l. Let p(v) = -58*v. What is q(p(w))?\nAnswer: -3497574*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -625 - -5?\nAnswer: -620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**2 - 10*d - 1. Let h be g(10). Let y be (-17)\/(-204) - h\/4. Let i = -8.5 + 8. Which is the second smallest value?  (a) i  (b) y  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 6.8 - 8.46. Let i = 4.34 - f. What is the nearest to 2\/9 in i, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.1936 * -80\nAnswer: 15.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 259, 240, 187, 82, -93, -356?\n\"Answer: -3*k**3 + k**2 - k + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -384 = -3*t + 3*d, -4*t = -t + 4*d - 384. Suppose 0 = 3*r - t + 44. Let a = 1 + 3. What is the greatest common divisor of a and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8233982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -35\/51969 and 49\/33627?\nAnswer: 571659","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = -1. Suppose -3*l + 45 = -12*l. Let u(p) = 44*p + 84. Let f(q) = l*g(q) - u(q). Differentiate f(b) wrt b.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/17 - 24*t\/17 - 22\/17.\nAnswer: -2*(t + 1)*(t + 11)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*(-2*(-1 + sqrt(1377)) + (sqrt(1377) - (1*sqrt(1377)*5 + sqrt(1377)))))**2.\nAnswer: -1008*sqrt(17) + 269908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: (12\/10)\/((-243)\/(-90))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 593 + -387. Suppose j = -9*y + 5*y + 213, -235 = -5*y + 5*j. What is the remainder when s is divided by y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = -3*r - 5. Let p = -11112 + 11110. Which is the nearest to -16?  (a) -3\/5  (b) p  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from pfoo.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 619209?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = s**2 + 94*s + 763. Let t be u(-85). Let o = -0.7 + -0.3. Which is the third smallest value?  (a) -8  (b) t  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) be the second derivative of s**7\/840 - s**6\/45 + 7*s**5\/120 + 5*s**4\/12 + 7*s**3 - 4*s. Let i(p) be the second derivative of o(p). Calculate i(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 7*k - 286076 - 328334 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000538214896 rounded to six dps?\nAnswer: 0.000538","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let -37\/4*j + 5\/2 + 51\/4*j**2 - 31\/4*j**3 + 7\/4*j**4 = 0. What is j?\nAnswer: 1, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 AM and 9:47 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**1\/s)\/s)**29\/((s**(-7)*s)\/(s**4\/s)) assuming s is positive.\nAnswer: s**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z + 0*z = 24. Is 4 a factor of z + 4 - (0 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/322 and -37\/1241448?\nAnswer: 8690136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2335 or 1\/81?\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*g**4*x - 9*g**4 - 58*g**2 - 1025*x wrt g?\nAnswer: 8*g**3*x - 36*g**3 - 116*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -18332, -36674, -55016?\n\"Answer: -18342*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1700\/350 - (-12)\/(-14). Find the common denominator of 75\/32 and (-2403)\/(-18)*x\/96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -25189434 divided by -27?\nAnswer: 932942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.9622 to 0 decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 194901147 is divided by 186152.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3 - -2. Let h(p) = p - 8. Let j be h(8). Which is the closest to v?  (a) j  (b) -5  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 106263779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 94679\/10860 + -37\/543. Is j smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aatuxauuxtxxxutuaxx. What is prob of picking 1 t, 1 u, and 1 x?\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1 - ((-28413)\/480)\/7. Let u = l + -5\/32. Calculate the common denominator of 46\/7 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:54 AM and 4:17 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6899.\nAnswer: 6899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -16 + (7 - -2) + 13\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 4*t**2 + 2*t + 3. Let z(i) = -2*i - 7*i**2 + 0 + 2*i**2 - 4. Let y(j) = 7*f(j) + 6*z(j). What is y(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -421 + 2045. List the prime factors of v.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 115, 213, 315, 421, 531, 645, 763?\n\"Answer: 2*o**2 + 92*o + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (33\/(-4))\/((-3)\/8). Suppose m = b + b. Let n = 9 + 1. What is the smallest common multiple of b and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -4 - 11\/(-3) - (-22)\/30. What is the nearest to u in 3, 5\/61, -0.2?\nAnswer: 5\/61","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 234540 divided by 30.\nAnswer: 7818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 10) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 49184\/80*-3*((-156)\/18 - -7). What is the highest common factor of u and 232?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1 - 10*g**3 - 1 + 3*g**4 + 54*g - g**4 - 6 - 2*g**2 + 2*g**5 - 38*g.\nAnswer: 2*(g - 1)**3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 463262.3 years in millennia?\nAnswer: 463.2623","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 126988911 a multiple of 1179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 178 is divided by 56.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 3, l: 5}. What is prob of picking 1 l and 2 r?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1607 a factor of 150558223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 214.93 - 214.53. What is the nearest to -1\/7 in w, -74, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) be the second derivative of 379*h**8\/14 + h**4\/3 - 9*h**3\/2 - 959*h. What is the third derivative of s(j) wrt j?\nAnswer: 181920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 630\/36*4\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1\/76 + 1055\/684. Suppose -4\/9*f**3 + 4\/9 + t*f**2 - 14\/9*f = 0. Calculate f.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-29 - -2)*(-2 - -3). Let u be (-6)\/(-4)*(-1 - j). What are the prime factors of 1\/5 - u\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (4\/(-132))\/(2\/(-12))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2903*v = 693 - 96492 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 23. Suppose -5*p - u = -252, -k*p = u - 4*u - 144. Calculate the remainder when p is divided by (1 - -12*1)*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1\/2 or 37\/5?\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 48*h - 139*h + 67*h + 128*h.\nAnswer: 104*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8 = 4*l + d, -4*l = -5*l + 3*d + 11 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -1, 5, 11?\n\"Answer: 6*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -87495.54 and 4?\nAnswer: -349982.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, k: 11, a: 2}. What is prob of picking 2 k?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -30310?\nAnswer: -30314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 1132143386 divided by 2\nAnswer: 566071693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/((o**13\/o)\/o))\/o**(1\/20))\/(o**(3\/10)*o\/((o\/(o\/(o*o*o**(-8\/7))))\/o)) assuming o is positive.\nAnswer: o**(-1609\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2737 + -2677.4. What is q rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.659 and 0.09?\nAnswer: 0.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -7518*d + 7540*d + 176 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = t + 5. Let b(c) = c + 4. Determine 6*a(w) - 7*b(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the third derivative of -k**4\/4 - k**3\/6 + 5*k**2. Let n be u(-1). Find the first derivative of 0 - 4 - c + n wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.03 + 0.07. What is the closest to 1 in -0.1, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1723 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -17 - -60. Let n = 62 - x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 8 + -97?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = d**2 + 5*d - 57. Let c be u(-10). Let z(b) = 35*b**2 - 10*b - 22. Is z(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 3 b when four letters picked without replacement from sbbbbbbb?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a - 1. Let p(z) = 4*z - 8. Suppose -13*n - 9 = -4*n. Give n*p(u) + 8*d(u).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*i = 30*i - 74 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 10*i**3 + 2*i**5 - 53*i**4 + 53*i**4 + (-i**4 + i**4 - 2*i**4)*(2*i - 6*i + 3*i).\nAnswer: 4*i**5 + 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 12*v + 5. Let f be s(-13). Let j = f - 4. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 433401 and 4806.\nAnswer: 694308402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4503 + 4321 = 14*j for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/(-18) + 48\/(-27) + -118. Let h = 199 + w. Is h a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/((-63)\/(-15))*7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 5 + 3)*(2*h + 2*h - 6*h) - 3*h + 2*h + 2*h + 2*h + 28 - 30 + 0*h.\nAnswer: 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) be the second derivative of -1\/3*q**4 + 0 + 0*q**2 - 23*q + 2\/3*q**3 + 2\/15*q**6 - 1\/5*q**5. Factor x(a).\nAnswer: 4*a*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 18 = -2*c. Let v(x) = x**2 + x - 1. Let g(b) = 4*b**2 + 7*b - 3. Let i(o) = c*v(o) + g(o). Determine j, given that i(j) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2 - 1)*(1 + 1). Suppose c*m + 10 = 0, -4*p - p = -3*m - 475. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(((sqrt(200)\/sqrt(4))\/sqrt(5))\/(sqrt(720) + (sqrt(720) - (sqrt(720) + 5*sqrt(720)))) + 5).\nAnswer: -sqrt(2)\/24 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*f + 29*f**4 + 0*f**4 - 16*f**4 wrt f?\nAnswer: 156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 10*l**2 + 7*l. Suppose -14 = -8*y + 6*y. Let i(s) = s**2 - s. Let j(z) = -z**2 + 6*z. Let b(f) = 4*i(f) + j(f). What is y*b(h) - 2*p(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(k*k**(3\/19))*k*k**0*(k**(2\/43))**(-41))**(3\/8) assuming k is positive.\nAnswer: k**(-1305\/3268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 11. Suppose -2*z + 0*z = -2*x + 16, -n*z - 4*x = -4. What is the nearest to 0.4 in -5, z, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n**2 - 2*n + 6. Let s be i(-6). Let x = s + 30. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31777792 divided by -248264.\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5\/447 + -11230\/4917. What is the common denominator of -151\/30 and l?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 225.03 + -233.03. What is the closest to q in -3, 2, -0.4, 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:42 AM and 12:28 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x = v + 1308, 2*v + 0*x - 2*x = -2612. Let c = 2216 + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 874765685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.6 + 4. Let y = 281 + -284. What is the second biggest value in y, g, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d + 0*z = 2*z - 30, -5*z + 40 = 3*d. Let l = -1033 + 1056. Calculate the remainder when l is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 367 minutes after 9:38 AM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*w = -37 - 73 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -701.7 + 714.7. Which is the third smallest value?  (a) 15  (b) -19  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the first derivative of 7*a**5\/10 + 25*a**2\/2 + 27*a + 22. Let q(h) be the first derivative of u(h). Differentiate q(l) with respect to l.\nAnswer: 42*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 3*s**2 - 9*s - 5. Let v be z(-8). Let d = -1 + 3. Suppose 0 = -w - d*h + v, -3*w + 2*h + 927 = 182. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23 - (9 - ((-21 - -31) + (-7 + -7 - -6))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 833 a factor of 1304906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42720955 divided by -61469.\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + 5398*m + 48505. Calculate y(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -143 - 30*s + 143 - 5*s.\nAnswer: -35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (16 - 83) + -17 + (1 + 9 - (-24 - -32))\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.042184 to three dps.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.39 and 3.8341954.\nAnswer: 4.2241954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 102 - 101.94994. Let h = z - 0.04999681. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3\/(-12) + (-11)\/4. Let b = 19 - i. Let g = -2 + b. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -3*p**3 - 35*p - 22. Let b(n) = -n**3 + 2*n**2 - n. Let h(o) = -12*b(o) + 3*l(o). Factor h(w).\nAnswer: 3*(w - 11)*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(91)\/(sqrt(7) - ((sqrt(7) - -2*sqrt(448)) + sqrt(7))).\nAnswer: -sqrt(13)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find o such that 12*o**4 + 9460*o**3 - 44328*o**2 + 63408*o - 25376 = 0.\nAnswer: -793, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3f9 (base 16) to base 2\nAnswer: 1111111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b**(-1\/18)\/b*b*b)\/(b*b**(2\/111)))**(-13\/4))**(3\/13) assuming b is positive.\nAnswer: b**(49\/888)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4*m**3*n*p - 225*m**3*p**3 - 24*m**3*p**2 - 3594*m*n*p**3 + 1 wrt n?\nAnswer: 4*m**3*p - 3594*m*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-344)\/40 - 4\/10. Let i = l - -13. Put -5, i, -1 in increasing order.\nAnswer: -5, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*b + 2*b + 3*b**2)*(0*b + 0*b - 3*b)*(-2 + 1 + 2) to the form v*b + c*b**2 + z + a*b**3 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = 9*j - 10*j + 10, 0 = m - 3*j. What is the units digit of (201\/1)\/(m\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3288 and 156?\nAnswer: 42744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 23*r*z**4 - 350*r*z**3 - 4*r*z + 4*r + 87*z + 2 wrt z.\nAnswer: 276*r*z**2 - 2100*r*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-658)\/20 - 2\/(-5) and 5\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k - 4*q = 26, -7*k + 26 = -2*k + 2*q. Let w(i) = -19*i**3 - 6*i**2 - 6*i + 6. Let z(r) = -57*r**3 - 17*r**2 - 17*r + 17. Determine k*z(b) - 17*w(b).\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 64.102 + -0.102. Let s = -601848.9934 + 601913. Let x = s - o. 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: Simplify ((j\/(j*j*j\/(j*j**(-1\/14))))**(-14\/3)*(j**(1\/7)*j*j)**(-20))**(-1\/4) assuming j is positive.\nAnswer: j**(265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 184, 164, 110, 4, -172, -436?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3 - 4)\/((-2)\/(-8)). Calculate the common denominator of (-4)\/(-36)*246\/s and -59\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2418082231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 11000001101110000?\nAnswer: 11000001101110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 22.5960592776 plus -0.4?\nAnswer: 22.1960592776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/3  (b) 2  (c) 2\/11  (d) -2415\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*s + 10*s + 49 = 2*v, -35*s = 3*v - 4*v - 1644 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34*x - 41*x - 6*x.\nAnswer: -81*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) -2\/13  (c) 5729831  (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -a02cc (base 14) in base 13?\nAnswer: -10616a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 2 v, and 1 l when four letters picked without replacement from vvvtrttlttttvvtvvtt.\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 558307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 75 a factor of 187646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -37830*w + 75671. Give l(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 3*u + 2)*(2 + 1 - 1) - 2 - u + 2 in the form w*u + o and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q - 2*g - 1, 0 = -4*q - 67*g + 66*g + 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 327083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 697532 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + (-12)\/(-30)*(-6)\/(-4). Let q be (-8)\/4 - 2\/(-2). Let j = -1 - q. What is the closest to -1\/2 in a, -2, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 3819d + -7bd?\nAnswer: 377c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/24 - 453\/(-4). Suppose 3*j - b = 2*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -3*w**2. Let m(k) = 22750*k**2 - 4004*k + 1001. Let v(y) = 91*y**2 - 16*y + 4. Let z(g) = 4*m(g) - 1001*v(g). Determine z(o(x)).\nAnswer: -819*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - w + 21 = 2*w, 0*w + 702 = w + 696 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -80*d + 372*d - 152*d + 2520 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8373728 and 2283744?\nAnswer: 25121184","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: What is 76121 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: What is prob of picking 2 s when two letters picked without replacement from kskkskkkkskkkkk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 6893067\/4 != 1723268?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-6000)\/(-80)*(-72)\/300?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**3 - 2656*d**2 - 2616*d**2 + 5267*d**2.\nAnswer: -6*d**3 - 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 75*p**2 - 8*p - 14. Let q be d(-4). Suppose -q*h - 466000 = -1217*h. What is h rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -123 - -174. Let p(r) = r**3 - 2*r**2 - 2*r - 1. Let s be p(3). Let q = s + g. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -4*a**2 + 3*a - 21. Let y(h) = h**2 - 2*h - 39. Let l be y(-6). Let c be o(l). What is the tens digit of (-1)\/(((-4)\/c)\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -159*n + 262*n - 1442 = 0 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*b - 1180 + 82 - 12*b.\nAnswer: b - 1098","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -2*r**2 + 39*r - 165. Let w be p(13). Let b = -3.01 + 0.31. Let a = b - -3. What is the nearest to -0.1 in 1, a, w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 49*k - 34 + 83 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1e3d + 491?\nAnswer: -199c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -12*p + 88 - 4. Solve 9*o - 2*t = 4*o - p, -5*t = o + 23 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes after 12:31 PM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 9654 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 1 x when two letters picked without replacement from ysssxmissyiy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 2*g**3 - 6*g**2 - 6*g + 9. Let i(p) = -5*p**3 + 11*p**2 + 13*p - 18. Let h(b) = 3*i(b) + 5*r(b). What is the second derivative of h(w) wrt w?\nAnswer: -30*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6\/2 - (-11 - 6) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 32 + -32.4. Let l = -0.3 + 0.8. Let v = -0.6 + l. Is z != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-906)\/(-4) - (-3)\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjbjjbfjee. Give prob of sequence bb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {k: 4, t: 2, z: 2, g: 1, q: 2, l: 1}. Give prob of picking 2 z and 1 q.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 - 41 = 22*z - 5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -0.78?\nAnswer: -0.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, 1 in increasing order.\nAnswer: -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 5555*r - 5540*r - 1.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 26*d**2 + 39*d. Let c be g(24). Let s = c - -436. Calculate the smallest common multiple of 18 and s.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.364 + -210.336. What is w rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -4.3?  (a) -1  (b) 5  (c) 1\/11  (d) 2\/9  (e) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 56599409 or 56599410?\nAnswer: 56599410","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in 16, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*j = -3*r - 3, -3*j = 10*r - 13*r - 9 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 9 + 3 = d, 3*d = 0. Is -33\/17 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 21.72 - 22.12. Let f = 2.9 - 2.3. Which is the second biggest value?  (a) 1  (b) 5  (c) f  (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9)\/(-2)*22\/(-55)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2184 divide 69853056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -491*q - 705 + 2091 = -458*q. Solve -48*k = -q*k - 36 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 42798 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -5  (b) 2  (c) -2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(833) + -2 + 2 + 5*2*sqrt(2448)*-2)**2.\nAnswer: 922913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-180)\/24)\/(47\/((-156604)\/245)).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 63962 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*r + 0*r + 4)*(-4*r**2 - 164 + 164).\nAnswer: -8*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 127 + -34. Suppose -r + 25 = -h. Calculate the highest common factor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p**(-1\/6)*p)\/p*p**3*(p\/(p**(2\/7)\/p)*p)**37)**(-8))**(2\/37) assuming p is positive.\nAnswer: p**(-34696\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 23759, 23503, 22797, 21413, 19123, 15699, 10913?\nAnswer: 4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h**2 + 15860*h + 536928 = 0. What is h?\nAnswer: -7896, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from bbbbbbwwnnafwn. Give prob of picking 1 a, 1 f, and 1 b.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.902609 to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) be the first derivative of 6 - 3\/2*f**2 - 1\/3*f**3 + 4*f. Determine c(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.36114 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2b (base 12) in base 10?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 880752.9 hours to days.\nAnswer: 36698.0375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 17104131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.091 times -12841886\nAnswer: 1168611.626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -2 + -1 - (-72)\/(-3). Let x = -24 - l. Solve -x*i = -5*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 PM and 8:14 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from {t: 5, b: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 15 + -9. Suppose w*c = 4*c + 4. What is the smallest common multiple of c and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.2754 and 136280?\nAnswer: -37531.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13274?\nAnswer: 2, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -361418 divided by -38?\nAnswer: 9511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -325.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 240 - 240. Which is the second smallest value?  (a) g  (b) 1\/11  (c) -1.7  (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) 50  (b) -2\/11  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 - 4)*(-2*y**2 - y**2 + 5*y**2) + 7*y**2 - 2*y**2 - 6*y**2 + (4*y - y - 2*y)*(y - 2*y - y) - 3*y**2 - 2*y**2 + 6*y**2.\nAnswer: -12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -67*a - 14*a = 31*a - 3472. Solve -11*r = a*r + 126 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and 59.63.\nAnswer: -23.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 2*g**3 + 168*g**2 + 197*g + 2570. What is p(-83)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -32*w**2*z**2 + 101*w**2*z + 4788*w*z**2 + w*z - 2 wrt w?\nAnswer: -64*z**2 + 202*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 2*l**3 + 4*l**2 - 18*l - 45. What is w(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7 - 11. Let z be (t - 15*-1)\/1. Let f(v) = 8*v + 4. Let b(n) = -15*n - 7. What is z*f(o) + 6*b(o)?\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 43*d**2 + 7*d - 8. Let o be v(1). Calculate the highest common divisor of 189 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(3\/20)*u*u*u*u**9 assuming u is positive.\nAnswer: u**(243\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 11*h + 48 = 0. Let u(o) = 13*o**2 + o - 5. What are the prime factors of u(h)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**3 + 41*v**2 + 23*v + 3233. Give p(-42).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 157\/4284 and 5\/32616081?\nAnswer: 913250268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -7*u. Let z(w) = -75*w. Calculate h(z(r)).\nAnswer: 525*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*o + 4*c - 36 = -3*o, 0 = 4*o + 5*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + (sqrt(612) - 2*sqrt(612))*2 + 3*-1*2*sqrt(612))**2.\nAnswer: -480*sqrt(17) + 39193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1\/4, 0.03, -2, -410?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5 + 1. Let m be (o\/(-6))\/(6\/144). Let z = -6 + m. Is z a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.4 and -2116572.\nAnswer: -2116571.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6\/(((-30)\/(-35))\/((-8)\/(-14))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1\/5, 0.04, -0.2, 1.\nAnswer: -0.2, 0.04, 1\/5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) be the third derivative of 1151*h**5\/60 - 77*h**4\/24 + 3*h**2 - 62. Find the second derivative of f(u) wrt u.\nAnswer: 2302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (sqrt(325) - (sqrt(325) + 2)))**2*-6.\nAnswer: -102 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -611, -3\/4, 5, -0.4.\nAnswer: -611, -3\/4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 356810 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.3 + 2296.47.\nAnswer: 2296.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q - n - 42 = 6*q, q + n = -6. Let t(k) = 2*k**2 + 10*k + 2. Let d be t(q). Let h = d + -20. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17850247 a multiple of 401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = -41*j. Let w(x) = -11*x**2 - 2009. What is w(n(k))?\nAnswer: -18491*k**2 - 2009","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) be the first derivative of -f**4\/4 + 5*f**3\/3 + f**2\/2 - 4*f - 2. Suppose a - 5*a + 20 = 0. What is the units digit of d(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (15\/30)\/((-6)\/(-86)) and -11\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*o = 3*h - 21, -9*o - 27 = -13*o - 13*h for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = 2*k - 4. Let z(x) = -27*x + 14. Let s(p) = -5*a(p) - z(p). Let f(c) = 460*c + 161. What is 6*f(m) - 161*s(m)?\nAnswer: 23*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7497 in 0.5, -4, 8, 0.03?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -0.02241+-39\nAnswer: -39.02241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 607 + -300. Let s = w + -124. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13770886 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2235187?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -181\/1034, -2\/3, 0, 0.3 in increasing order.\nAnswer: -2\/3, -181\/1034, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**2)**(10\/11)\/(r**0)**(20\/9)*(((r*r*(r\/(r\/(r*r\/((r**(2\/9)\/r)\/r)*r)))\/r)\/r)**(-43\/5))**(-10\/9) assuming r is positive.\nAnswer: r**(42298\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-2\/11)\/k)\/(((k*k**(-12\/7))\/k*k)\/k))\/(((k**7\/k*k)\/k*k)\/k*k*k\/(k\/k**19)) assuming k is positive.\nAnswer: k**(-1961\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3f9e (base 16) to base 2.\nAnswer: -11111110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Do -1 and 7\/950 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -21839, -43654, -65469?\n\"Answer: -21815*u - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 3.9906 * 0.4\nAnswer: 1.59624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 1 = 5*j. Suppose k - j = 3. Suppose 0*n + 24 = k*n. Solve z = -z + n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 s and 1 b when four letters picked without replacement from cchsschcchhnhhnbcsqn?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = 22*x**2 + 19*x - 70. What is the units digit of a(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:17 AM and 2:21 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -49, -132, -321, -670, -1233, -2064, -3217, -4746?\nAnswer: -6705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -78*-0.6\nAnswer: 46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 1126450340 divided by 5928686?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 25495 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + r + 34 = 0, f + 4*r = 3*r + 6. Suppose -2*d - d = 9. Let n = d + f. List the prime factors of n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001014 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.035 - -0.005. Let m(j) = -j - 13. Let g be m(-12). Put b, g, 1 in ascending order.\nAnswer: g, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 750171 is divided by 148491?\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 576402, 2305615, 5187636, 9222465, 14410102, 20750547?\nAnswer: 28243800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kpkppkoopokkkkpk. Give prob of picking 1 o and 1 p.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*c**2 + 5 + 3 + 36*c + 3*c**3 + 35*c - 71*c as u + q*c + k*c**2 + s*c**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2733900, 5, 19.\nAnswer: -2733900, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 214*a*l**2*y + 2*a*l*y - 2*a + l**2*y + 5*l - 3*y wrt l.\nAnswer: 428*a*y + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 4 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) be the first derivative of n**4\/2 - 23*n**3\/3 + 16*n**2 - 2471*n - 2618. What is the first derivative of f(u) wrt u?\nAnswer: 6*u**2 - 46*u + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 7, p: 2}. Give prob of sequence pvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 146999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 366 and 66002.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hle when three letters picked without replacement from ellyhyyeehyl?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 72810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -139\/1416 and -139\/24.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g + k = g - 2, -2*k = -5*g - 3. Which is greater: -2\/17 or g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -3*q - 3. Let v(d) = 4*d + 4. Let h(p) = 2*v(p) + 3*x(p). Give h(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 28 = q + 245, 650 = -5*i + 4*q. Find the common denominator of 2\/48*-2*29 and -4 + 0 + i\/(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 95*o**3 - 1 - 6*o + 2*o**2 + 5*o - 6*o - 4765045*o**4 + 4765046*o**4 to the form y*o**4 + k*o**2 + h*o + q*o**3 + n and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -194  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1710 by -1.\nAnswer: -1710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 164*z**2 + 164*z + 164. Let w be o(-163). Which is smaller: w or 24\/685?\nAnswer: 24\/685","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(-2))**(-7\/6)*((b**(2\/23)\/b*b)\/b)\/b**(1\/4) assuming b is positive.\nAnswer: b**(323\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 6 and 0.9.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -738 - -736. What is the nearest to 16 in 1, z, 2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 28  (b) 5  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 82*c - 116*c + 28*c - 614 + 236 = 0 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 3*t**2 - 15*t + 5. Let z(b) = -b**2 + 7*b - 2. Let d(l) = 2*q(l) + 5*z(l). What is the second derivative of d(m) wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24 and 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d + 2 - d**2 - 4 + 3. Let j(z) = -3*z**3 + z**2 - z - 1. Calculate b(n) + j(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = -97*j - 205 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/1)\/(((-528)\/408)\/(-22)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 less than or equal to 5803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6851959861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*a**4*p**2 + 86*a**4*p + a*p**2 - 173*a*p - 4 wrt a.\nAnswer: -72*a**2*p**2 + 1032*a**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 3, z: 2, h: 3, n: 3, w: 1, x: 3}. Give prob of picking 1 x and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = 107*p**2 + 3*p + 3. Does 8 divide g(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 20*x - 7. What is q(4)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**3 + 25*z**2 + z - 46. Let f be n(25). Let r be (-11 - (-1168)\/84) + (-2)\/f. Solve -r = -4*t + 1, -4*u - 4*t + 16 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 93384754 and 23344?\nAnswer: 2918","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1267 + 1721 = 166*f for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.18 - 0.08. Let i = -1 + 1.8. Let s = i - 0.9. Put -0.4, s, d in decreasing order.\nAnswer: d, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -19*a + 678. Let b be f(36). Let l(m) = 5*m**2 + 14*m - 8. Give l(b).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*i - 138*i = 133*i + 7425 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -3033943, -3033952, -3033963, -3033976, -3033991, -3034008, -3034027?\nAnswer: -3034048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 16256 bigger than 15242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1142*d - 49 = -1135*d for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 54 at least as big as -124.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(392)*-2)\/(sqrt(4) + -2*sqrt(64) + sqrt(4) + sqrt(8)\/(sqrt(4)\/sqrt(2))).\nAnswer: -84*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -8*o**5 - o**2 + o**5 - 6*o**5 - 3 - 5*o**5 + 3 + (-o**3 + 2*o**3 + o**3)*(o**2 + 2*o**2 - o**2) + 2*o**5 - 2*o**5 + 2*o**5.\nAnswer: -12*o**5 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 4*t. Let h(o) = -o**3 + 5*o**2 - 5*o + 1. Let j = -18 + 20. Let v be h(j). Let z(m) be the third derivative of m**4\/24 - m**2. What is v*z(s) - b(s)?\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (-146*w - 3249 - 4*w**3 + 6478 + w**4 - 3227)*(-2 - 3 + 6) in the form f*w**4 + d + r*w + t*w**2 + c*w**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Let s be (-158)\/(-14) - (-8)\/(-28). Let y = 15 - s. Solve -4*w = -5*i + 24, -y*i - 3*w + 13 = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 929.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that -162*n**2 - 96*n - 154*n**2 - 2*n**3 + 308*n**2 + 6*n**3 = 0.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 7008 and 254303968.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 433 - 430. Let a be (-1)\/1*d - 9. What is the closest to -2\/5 in 0.5, -2\/19, a?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9285174953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the third derivative of 7*z**5\/60 - z**4\/4 - z**3\/3 + 2*z**2 - 3. What is u(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -111, -15, 98 in increasing order.\nAnswer: -111, -15, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h**(-9)*h*h*h**(6\/5)*h**2\/h**(-2\/23) assuming h is positive.\nAnswer: h**(-427\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07939911 plus -0.089?\nAnswer: -0.00960089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3 + -3 + 3 - -42. Calculate the highest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -11*c - 21. What is x(-13)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 0*i + 10. Suppose -i*l + b + 0*b = -24, 5*l + 5*b = 0. Solve l*y + 2*s = -0*s - 2, -y - s - 2 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 183 and 324.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:17 AM and 2:12 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*m - o - 3*o - 13, 3*o = 3*m - 15. Calculate the greatest common factor of 49 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**2 + 5*b + 6. Let h be w(7). What is the least common multiple of ((-1)\/(-3))\/(h\/(-24)) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3875, -7691, -11507, -15323?\nAnswer: -19139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*c = 8 + 10, 2*c + 5 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by 63.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) be the first derivative of c**8\/28 - c**4\/12 - 3*c - 3. Let b(m) be the first derivative of l(m). Find the third derivative of b(x) wrt x.\nAnswer: 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -4*u + 2. Is u at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -31539438833 from 340.\nAnswer: 31539439173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 877 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20*p - 21 = 79 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*c**2\/5 + 34122*c\/5 + 1597107\/5 = 0. Calculate c.\nAnswer: -11327, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 689 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from jwwwwlwfff.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the second derivative of -80*a**8 - 419*a**4 + 1834*a. Find the third derivative of d(t) wrt t.\nAnswer: -537600*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21318297 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.91 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -139*p**2 - 993*p**2 - 1995*p**2 + 347*p**2 - 795*p**2.\nAnswer: -3575*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one halves of a centimeter in millimeters?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 130  (b) -4  (c) 2  (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 152783686123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let -28*x**4 - 32524*x**3 - 1264188*x**2\/7 - 2123388*x\/7 - 1123632\/7 = 0. Calculate x.\nAnswer: -1156, -3, -9\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3571*n - 1370 + 5245 = -3446*n for n.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -10*g - 1 - 2*g**3 + 10*g + 4*g**5. Find the third derivative of f(u) wrt u.\nAnswer: 480*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 2 - (3 + -1 + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -9*f**4 + 21*f**3 - 30*f**2 - 36*f + 6. Let i(j) = -7*j**4 + 20*j**3 - 29*j**2 - 36*j + 5. Let z(m) = 6*i(m) - 5*t(m). Determine x so that z(x) = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) be the third derivative of 999*h**5\/10 - 2123*h**4\/24 + h**3\/6 + 5132*h**2 + 1. Find the second derivative of d(n) wrt n.\nAnswer: 11988","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*f - 46 - 59. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 220221 + -112122?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 48010, 193046, 434766, 773164, 1208234, 1739970, 2368366, 3093416?\n\"Answer: -m**3 + 48348*m**2 - m - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 24259983443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 10306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-22)\/(-56) - (-8)\/(-56)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -d**2 + 9*d - 2. Let a be y(7). Solve -a*i = -11*i - 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*g - 2*t - t + 15, -4*t + 20 = g. Which is the closest to g?  (a) -0.4  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 50 - 4 = 0. Find the common denominator of h and -24\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) be the third derivative of -k**5\/60 + k**3\/2 - k**2. Let d(y) be the first derivative of s(y). Let z(r) = 3*r + 1 - 1. Calculate d(z(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h - 9 + 34 = 0. Suppose d - 2*k + 8 = 0, 4*d - 5*k = -d - h. What is the second smallest value in -1\/4, -4, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 26\/(-780)*(-9)\/(-1)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(26)\/(-1*sqrt(2)*3) + -4.\nAnswer: -4 - sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2414828964?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 74 and 370.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = 4*p**2 - p - 1. Let h be v(-1). Suppose -5*c + 2*f - 8 = 0, -4*c + 16 = -5*c + 4*f. Solve k + h*k = c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**4 + f**4 - 2*f**4)*(198 - 198 + 502*f).\nAnswer: 1004*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -2*q**2. Let z(c) = 16502178*c. Give z(r(y)).\nAnswer: -33004356*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 182 - 183. What is the hundreds digit of ((-3204)\/8)\/(w*(-15)\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6653891 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -445 + 455. What is the lowest common multiple of -1 + (-34)\/4*-2 and t?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 34 + -35. Let h be ((-402)\/18 - -2)\/(v\/15). Find the third derivative of -h*i - 26*i**2 - 14*i**5 + 147*i + 158*i wrt i.\nAnswer: -840*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 201 is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 249884713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m and 1 y when three letters picked without replacement from xomxoyhzzohmmx?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.09569 - -10592108055?\nAnswer: 10592108055.09569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24631 (base 7) to base 10.\nAnswer: -6490","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 + 4 - (-5 + 12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 71.888  (b) 0.02  (c) -12  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2202149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -29596000 rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) be the first derivative of -4*n**7\/7 + 2*n**3\/3 - n**2\/2 + 67. What is the third derivative of d(h) wrt h?\nAnswer: -480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1023 (base 7) to base 11\nAnswer: 2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 1, z: 7, r: 4, a: 1}. What is prob of picking 2 z, 1 r, and 1 a?\nAnswer: 84\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in z + 19*z + 15*z - 26*z + 8*z.\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**(1\/3))\/v**(-5))\/(v**10*v**12\/v) assuming v is positive.\nAnswer: v**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -12*f - 2. Let s be v(-4). Let y = s + -16. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 4979893 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*n - 4*n + 5*n)*(-2 + 2 + n) - 63*n**2 + 4*n**2 - 27*n**2 - 2 + 2 + n**2.\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = s**3 - 2*s + 2. Let x be o(0). Suppose -4*b + 2*m = -2*b - x, 24 = 4*b + m. Solve 3*u = -b*t + 2, 4*t = -u - 0 + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3709 is divided by 554.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -23188420*d - 250383181.\nAnswer: -23188420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + sqrt(13) + 1 + (-1*sqrt(78) + sqrt(78))\/sqrt(6).\nAnswer: 2 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 13\/5 of a meter?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -203 - -101231?\nAnswer: 101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3917*x - 5396 = 4059*x for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -2*x + 8. What is the highest common divisor of 16 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2809 * -180624\nAnswer: 507372816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*n**5 + 14748*n**4 + 13437792*n**3 - 288729056*n**2 + 20349504*n + 18863990208 = 0. Calculate n.\nAnswer: -1854, -7, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:09 PM and 2:55 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*o - 1 + 1 + (489 - 29 + 19)*(-3 + 3 + o).\nAnswer: 481*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, v: 12, p: 6}. Give prob of sequence vvv.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15151\/1390 + (-126)\/12 + (-554)\/(-40).\nAnswer: 57\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -y**3 - 3*y**2 + 5. Let r be n(-3). Sort -1, r, -4, -2.\nAnswer: -4, -2, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.01 - 0.41. Let m be 80\/(-25) + -1 + 4. Sort m, q, -1\/3 in increasing order.\nAnswer: q, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.2023 and 283.518.\nAnswer: 57.3556914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4191 + -3394. What is the closest to -1\/4 in 3, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10 - -19 - 12) + (-5 - 1) - (-112 + 74).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 126386 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.045513 - -3.71.\nAnswer: 3.755513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4335440 is divided by 655?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = -5*b, l + 0*b + 6 = b for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wiiwwiiiiwiiw. What is prob of sequence wi?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -24518.05 + 24518. Put 340, q, -2\/7 in decreasing order.\nAnswer: 340, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 30*c**2 + 5*c**2 - 9*c + 9*c + 22*c**5 wrt c?\nAnswer: 1320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -147834 divided by 191\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1220)\/(-8) + 2\/4. Let j = 111 + b. Suppose 136 = 8*s - j. Calculate the greatest common factor of 40 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3277230, -3277168, -3277060, -3276906, -3276706, -3276460?\n\"Answer: 23*y**2 - 7*y - 3277246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*t**3 - 3*t**3 - 3*t**3 + (4*t**2 - 5*t**2 + 3*t**2)*(-3*t - t + 3*t) - 6*t**3 + t**3 - 4*t**3 + 4*t**3 - 3*t**3 + 0*t**3.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29 + -14. Suppose 5*u = 2*u + i. Suppose u*h = -3*t + 28, 5*h - 6*t + t - 20 = 0. Solve -3*q = 0, -4*k + 9*k + h*q = 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -32\/7 and -4 - (87\/24 - -4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 36 a factor of 53522?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/((z\/(z**(-1\/7)*z))\/z))**(-48)\/((z*z*z*z\/(z*z**(2\/7))*z*z)\/(z**(-10)\/z)) assuming z is positive.\nAnswer: z**(-734\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -o**2 - 3*o - 17. Let t be p(-6). Let s be 2\/7 + (-130)\/t. Suppose -140 = s*u - 11*u. Solve 0 = -2*n + 3*z + u, -13 = -4*n - z - 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3\/(-15) + (-62)\/(-10). Suppose 4*s = 5*o + 100, -4*o + 2*s - 80 = s. What is the units digit of (-9)\/k*o\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6 + 5. Sort x, -2, -3.\nAnswer: -3, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.09, -0.3, -0.2, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -19 - -22. What is the second derivative of -5*v + 11*v**2 - 7*v**y - 11*v**2 wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - -1 - (-186 - (-147 - 73))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3761.\nAnswer: 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/v**14*v)\/v**(-4\/15)*(v**(-2))**(34\/5))**(-34) assuming v is positive.\nAnswer: v**(2584\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = v**3 + 7*v**2 + 5*v - 2. Let y be u(-5). Let h be y\/(-5) - 4\/10. Let a(x) = -x**3 - 5*x**2 - 3*x - 5. Determine a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 10690*r**6 + 219*r**3 + 1186*r**2 - 46*r + 2 wrt r?\nAnswer: 1282800*r**3 + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63709860 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 177*b**4 + 5*b**3 - 1285.\nAnswer: 708*b**3 + 15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -21898, -22080, -22262, -22444, -22626?\nAnswer: -22808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 21, -6, -10, 5 in increasing order.\nAnswer: -10, -6, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i - i + 11*i + 4*i in the form h*i + n and give h.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 - 11. Suppose -19 - z = -a. Let h be -1*2\/8 + (-33)\/(-4). What is the highest common divisor of h and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55559533 a multiple of 1147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(420)\/sqrt(7))\/(sqrt(9)\/sqrt(27)) + (-5 + (1*sqrt(25))\/sqrt(5) - (1 + sqrt(245) + -2 + sqrt(245))).\nAnswer: -7*sqrt(5) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 2:22 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, v: 1, f: 2, x: 11, j: 4}. Give prob of picking 1 j, 1 y, 1 f, and 1 x.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/3*171\/304?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the third derivative of 17*q**5\/60 - q**2 - 6. Let w be (6\/4 - 1)*(-16 + 16). Let k(h) = -6*h + w*h + 6*h - h**2. Determine k(n(j)).\nAnswer: -289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/3, -675\/34, 0.3, -0.7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*q + 3*h + 64, 9258*q - 8*h = 9261*q + 79 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 11\/(-696)*9\/(135\/(-150)) and 5\/1566?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - r + 2 = 0, 5*k - 2*r + 1 = 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l - 8. Let w be a(-14). Calculate the common denominator of (1*27)\/(-3 - -1) and ((-28)\/(-44))\/(2\/w).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-186)\/45 - (3 - -9)) + (-528)\/(-33).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes before 1:46 AM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 444550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-3\/5)*k)**(-1\/11)\/(((k\/k**3)\/k)\/k)**(1\/10))**(34\/5) assuming k is positive.\nAnswer: k**(136\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-455)\/(-195)*1*-1*20\/100. What is the fifth smallest value in 1, 3, -1.3, y, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 558546494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*a - 2*a + 2*a**2 + (-8 + 16 + 14)*(-2*a**2 + 0 + 0).\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 j and 1 s when four letters picked without replacement from jwwswwwwrwhsejjswwww.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 723*j**3 + 8*j**2 - 11137 + 11069 + 0*j**2 - 22*j**3 wrt j?\nAnswer: 4206","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in m - 3*m + 147*m**2 + 0*m.\nAnswer: 147*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = h + 11. Let y be d(-7). Suppose 16 = -y*t, 0 = -r - r + 5*t + 188. What is the greatest common factor of r and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n**3 + 2277825*n**2 - 432343141941*n - 11674925425881 = 0 for n.\nAnswer: -27, 379651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in twenty-one halves of a kilogram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**3\/7 - 60*z**2\/7 + 366*z\/7 + 988\/7.\nAnswer: 2*(z - 19)*(z - 13)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = 0 + 3*x - 1 + x. Let a = -46878 - -46879. Calculate the least common multiple of u(2) and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1148)\/(-8) + (-2)\/(-4). Suppose -14 = -0*t - 3*t - 5*x, t + 3*x = 2. What is the least common multiple of t and (-2)\/5 + p\/10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 plus -18629144839?\nAnswer: -18629144840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 9 = -3. Suppose -2*a = -4*s + 8, -6 = -2*s + 5*a + b. Sort -5, 5, -4, s.\nAnswer: -5, -4, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.9096 + 3.0904. Is 543 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19\/4 of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*y + 4*l + 108094, 4*y - 98796 = 2*l + 117368. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one half of a gram in milligrams?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1 + 0*(-1)\/(-2))*3. Let z(q) = 1 - 3 - 6*q + 0. What are the prime factors of z(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10 + -14 - (-4 - 3 - -1). Factor -2*k**2 + 13317*k - 13321*k + 0*k**t.\nAnswer: -2*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = x**3 - 5*x**2 - 9*x + 6. Let k be t(6). Let a = -9 - k. Suppose 2*f - 22 = 3*r, 4*f + 80*r = 79*r + 2. Put f, 0, 5, a in increasing order.\nAnswer: 0, f, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12894296?\nAnswer: 2, 17, 94811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -81.4464 take away 0.221655?\nAnswer: -81.668055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -57451*v**3 + 101642*v**2 wrt v.\nAnswer: -344706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 2*l + 7104 = -10586, 0 = x - 5*l - 8815. Let y = 97314\/11 - x. Let q = -76\/11 + y. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14273 (base 10) in base 11?\nAnswer: a7a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + m - 3 = -5*s, -2*s + 2 = 0. Let x(u) = m - 3*u**2 + 2*u**2 + 11. Is x(0) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n + 9*n = 4*b - 1159, -5*n - 1445 = -5*b. Are 287 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 - 3 + 5)*(-2*g**2 + 1 - 1)*(9 - 5 + 15) + (g**2 + 0*g**2 - 2*g**2)*(-2 + 0 + 1) in the form b*g + l + k*g**2 and give k.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*t**3 - 188100*t**2 + 1316528*t - 1128432.\nAnswer: 4*(t - 47018)*(t - 6)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, 0, 51, 156, 333, 600?\nAnswer: 975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*h = -21*h + 2688. Solve -h*j = -86*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6226 is divided by 6218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, 1, 37, 5 in ascending order.\nAnswer: 1, 5, 14, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12100 (base 4) to base 9.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*c - 340 = -2*c. Calculate the remainder when c is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, n: 2, s: 1, i: 2, f: 2}. What is prob of sequence is?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 47 + -31. Is ((-56)\/c)\/((-1)\/46) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*a - 51 = 68. What is the tens digit of ((-160)\/24 + a)\/((-2)\/(-60))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from {d: 1, l: 1, k: 1, p: 2, b: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 1642892 to the power of 1\/2, to the nearest integer?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 w when two letters picked without replacement from {w: 3, i: 1, u: 3, p: 1, v: 3}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -j + j - 3*j + (-3*j - j + 3*j)*(-4 + 3 - 1) + 11*j + 93 - 93 to the form y + u*j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(63)\/(sqrt(36)\/sqrt(432)))\/(sqrt(49)\/(-6*sqrt(567))).\nAnswer: -324*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 2*i + 4*g - 16 = 0, -3*i + 34 = 4*g. Let d be 12\/10*30\/i. Suppose -d*r = -0*r - 58. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -4.3 + 4. What is the biggest value in 3, -4, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4174?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -24*k**5 + 69*k**2 - 2 wrt k.\nAnswer: -1440*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**2 - 1. Let z(k) = 4*k**2 + k + 1. Let t(h) = v(h) - z(h). What is t(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 220 and 11830940?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**10)**25\/(u\/u**(-7\/4)*u\/(u\/((u*u\/u**(1\/8))\/u)*u*u*u)))**(7\/2) assuming u is positive.\nAnswer: u**(13965\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 68 - 155*v**2 - 154*v**2 + 22*v + 9*v + 311*v**2. Let t(p) = p**2 + 16*p + 34. Let d(r) = 4*q(r) - 7*t(r). Let i be d(-12). Is 34 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 209 + -193.3. Let f = 17 - a. Let o = 1.3 - f. Is 1\/2 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -1816692*a + 19. Is o(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -654383685 divided by -3615\nAnswer: 181019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from eppnl. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 7.03 * 15.587\nAnswer: 109.57661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/8 of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 1\/4  (b) -14  (c) -2\/5  (d) -4  (e) -201\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w + 2 = 5. Let t = -0.6 + 3.6. Let y = t - 2.9. Which is the closest to w?  (a) 0  (b) y  (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7499 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 12862 and 20056?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = -2*d - 171. Let c be d\/(-10) + 4\/(-10). Let k = c + -6. Sort -2, 5, k in descending order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) be the second derivative of 20*a + 0 - a**2 + 1\/3*a**3. Suppose -5*c + l = 5*l - 14, 5*c - 13 = -3*l. Calculate j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 111021 - -2?\nAnswer: 111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*v - 31 + 13. Let y(a) = 18*a + 4*a + v + 0*a. Let t(z) = -7*z - 2. Suppose 21 + 59 = 8*w. Give w*t(j) + 3*y(j).\nAnswer: -4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 480871.1um to nanometers.\nAnswer: 480871100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 4 + 4. Let t = f - -20. Let p = t - 13. Calculate the least common multiple of p and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -71040\nAnswer: 71043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -3626.27*-2\nAnswer: 7252.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (22240\/(-12510))\/((-2)\/3). Factor 0 - 4\/3*o + 2\/3*o**4 + 10\/3*o**2 - p*o**3.\nAnswer: 2*o*(o - 2)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(-2))**(-1\/7))**27)**29 assuming o is positive.\nAnswer: o**(1566\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 3 and -4.791?\nAnswer: -14.373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -5*c**2 + 2*c + 4. Let k(w) be the third derivative of w**5\/15 - w**4\/12 - 5*w**3\/6 + 28*w**2 - 3. What is -4*k(i) - 5*y(i)?\nAnswer: 9*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(3\/11)*x)\/(x*x**(4\/7)))\/(x**(1\/5)*x**7) assuming x is positive.\nAnswer: x**(-2887\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (2 - (1 - 55)) + -2 + 3. Suppose 9*i - k = 51. Calculate the lowest common multiple of -10*(0\/4 + -1) and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 219 and 11335230.\nAnswer: 827471790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -24*i*n**3*w + 5*i*n*w**2 - 14013*i*w**2 - 30*i - 17*n**3*w**2 + 5*n**3*w + n**2*w - 176 wrt w?\nAnswer: 10*i*n - 28026*i - 34*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1629 + 6555\/4. Calculate the common denominator of -49\/367 and u.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**2\/5 - 19*t\/5 - 4.\nAnswer: (t - 20)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:10 PM and 8:50 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = m**2 + 9*m + 10. Let v be z(-8). Let j be (0\/v)\/(-2 - -1). Suppose j = 3*h + 74 - 290. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the second derivative of w**3\/6 + 64517*w. Let u(l) be the second derivative of -l**3\/6 - 79*l**2\/2 - l. What is u(t(g))?\nAnswer: -g - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -930 + 949. What is the highest common divisor of g and 437?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*((4*sqrt(180))\/sqrt(4) - (-1 + sqrt(315)\/sqrt(7)) - 2*((sqrt(2205) + sqrt(2205)*1)*-6)**2).\nAnswer: -1905117 + 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = 13*v - 817995. List the prime factors of v.\nAnswer: 23, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 54965 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b - 25 = 0, -2*w = -3*w + 2*b + 19. Suppose -y + w = -7. Let f = -242 - -418. What is the greatest common factor of f and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1225 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of 1\/42*k**4 - 1\/7*k**2 + 1\/21*k**3 - 1\/70*k**5 + 7*k + 0. Factor a(s).\nAnswer: -2*(s - 1)**2*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2 + -1 - 113*-2. Let o = -128 + i. What is the highest common factor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1087 - 668. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1113\/5540 + -1\/1108. What is r in 0*r**2 + 0 - 1\/5*r - f*r**5 + 0*r**4 + 2\/5*r**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*j + g - 19 + 40, 5*j + 2*g + 17 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 8*p**2 - p - 4. Is u(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.7331137 days in weeks?\nAnswer: 0.6761591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2 + 200*l - 199.\nAnswer: -(l - 199)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -11770608*r**5 + 34*r - 97616.\nAnswer: -235412160*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2237 and -57367.2?\nAnswer: -128330426.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34 + (-43 + 18 - -15 - 13).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 2*r - 8 - 1 = 0, r = 2*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 24472.\nAnswer: 2, 7, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wss when three letters picked without replacement from {s: 4, m: 5, w: 2}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1010*w + 1010*w - 3028*w + 0*w**3 - 2*w**3 + 1008*w.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 - 1)*(13 + 3). Suppose 5*r - z = 4*n + 10, 14 = -r - 4*n. Suppose -r*q + 90 = q. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a - 23*z + 5*z + 0*z - 87 = 0, a - 39 = z for a.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 1561, 2846, 4143, 5458, 6797, 8166?\n\"Answer: j**3 + 1278*j + 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 4\/20 - 82\/10. Let z = w + 12. Solve z = 6*r - 5*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1170 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1279 + 0.05?\nAnswer: 1279.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*g**2 + 7*g + 4*g**2 - 3*g - g to p*g**2 + d + n*g and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 238 + -169. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13534 - -54137\/4. Let d(t) be the second derivative of 1\/120*t**6 + 3*t - q*t**4 + 0*t**2 + 0 - 1\/10*t**5 + 0*t**3 + 1\/168*t**7. Factor d(f).\nAnswer: f**2*(f - 3)*(f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-304)\/(-184)*23)\/8.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**3 - 9*q**2 + 7*q + 4. Let g be l(8). Let o be ((-12)\/(-45))\/(g\/(-10)). Suppose -4*i - 1 = 19. What is the second smallest value in i, -1, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine v, given that 2*v**5\/13 + 12*v**4\/13 - 396*v**3\/13 + 800*v**2\/13 + 2826*v\/13 + 1620\/13 = 0.\nAnswer: -18, -1, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (85 - 85 - 47*i)*(4*i**2 - 4*i**2 - 2*i**2) + 0*i**3 - 2*i**3 + 0*i**3.\nAnswer: 92*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 1 + 0)*(3*q + 0*q - q)*(-1 + 1 - q) + 4*q**2 - q**2 - q**2 + (-3*q - 3*q + 2*q)*(-209*q + 109*q + 554*q).\nAnswer: -1812*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3*(-8)\/6 - (-17 - -9). What is the hundreds digit of 378\/(-91) + a + (-8714)\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.009353 to four decimal places.\nAnswer: 0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Total of -140771570919.216 and -3.\nAnswer: -140771570922.216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 254700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10) - 8\/(-80). Suppose -2*g + 285 = 77. Let i = 1247\/12 - g. Which is the nearest to w?  (a) i  (b) 2\/21  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 94 and 517?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.1 - 3.1. Let v = 11 + -1.1. Let w = v - 10. Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -132?  (a) -5  (b) -3  (c) 1.2  (d) 0  (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -3*s. Let t(i) = -3*i. Let n(y) = 4*t(y) - 5*w(y). Let r be 5\/3 - 1\/(-3). Let b(j) = j**2 + r*j - 2*j. Calculate n(b(p)).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 44 - 24. Let l = a - 15. Let u(c) = -l*c - 13*c + c. Let k(s) = 2*s**2. What is u(k(y))?\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -512 + 18 + 3\/(2\/2). Let y = m - -496. Solve 4*x - 4*p + y*p - 8 = 0, 5*x + 3*p = 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/9?  (a) -0.13  (b) 2  (c) 0  (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from bcgg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*t - 2*n = 5*t + 3*n + 26, 5*t - 22358*n + 65 = -22361*n for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 5*u**2 - 2*u + 6. Let s be c(-5). Suppose -s = -6*a + 2*a. Let m(g) = 228*g - 35112. Let l be m(154). Solve l = a*o - 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (8*-1*4\/24)\/((-874)\/(-57))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -658 + 107?\nAnswer: -551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136\/255*-5 - -1.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) be the first derivative of -g**3\/3 + 2. Let t be (-6)\/4*8\/(-3). Let a(q) = 6*q**2 - 4*q**2 - t*q**2. What is x(a(r))?\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 6*m + 45. What is the least common multiple of d(-5) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (2 - 1)*1\/(-1). Let c be n - (-49 + 1)\/4. Let p(z) = c - 6*z - 11 + z. Let f(w) = -2*w**2. Calculate p(f(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:46 PM and 7:23 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3497051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 12 + -8. What are the prime factors of 904\/32 + (-1)\/a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8, 22, 32, 38, 40, 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by -1418?\nAnswer: 2\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4*(-4)\/(-4)*(-1)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 686 = -238*b - o - 263, -4*b - 22 = 21489*o - 21491*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*b - 17 - 13. Let o(u) = 3*u + 8. Is o(b) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the first derivative of -4*d**3 - 58 - 8*d + 9*d**2 + 1\/2*d**4. Factor q(n).\nAnswer: 2*(n - 4)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(m) = -6*m**2 + 36*m + 2. Calculate p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 105 = -2*d, -n + 5*d + 6 = -29. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 + 59*l**2 - 84*l - 1284. Give o(57).\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 389, 1519, 3395, 6011, 9361, 13439, 18239?\n\"Answer: -l**3 + 379*l**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7074308?\nAnswer: 2, 19, 93083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*l = -24*l - u - 1, -5*u + 20 = -5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 15353 or 15396?\nAnswer: 15353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from nnwnnnnnnnnnnnknnn.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 5 - 4)*(i**4 + 4*i - 4*i)*(14*i - 9*i + 14*i).\nAnswer: 19*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 56 times 5\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31974781*s**2 - 2*s**3 + 31974781*s**2.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63 - -40. Let n = -16 - g. Let u = n - 6. Which is the nearest to u?  (a) 5\/3  (b) -5  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**2 + q**2 + q**5 - q**5 + 9*q**5 + 5*q**5 + (-q + 4 - 4)*(2*q**4 - 2*q + 2*q) - 4*q**5 - q**5 + 2*q**5 - 3*q**5 + 3*q**5 - q**5.\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-35)\/14*-2*1. What is the second derivative of -3 - i*k**3 - k + 2*k + 3 wrt k?\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -36 = -10491\/293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 225311672 to the power of 1\/3, to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*f**3 - 29*f**3 + 29*f**3 + 7*f**3 - 9*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -264c6b (base 15) in base 16?\nAnswer: -1c0ed1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-9)\/(-6)*10\/(-15). Which is bigger: -1\/329 or j?\nAnswer: -1\/329","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and -839.\nAnswer: -841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4935300 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**(-4)*n)\/n)\/n*(n*n**(-3)*n*n*n)\/n)\/(n**(-2))**(4\/19)*((n\/n**11)\/n**(-8))**(-36) assuming n is positive.\nAnswer: n**(1300\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-30) - (-1)\/(-5). Suppose 2*a - 5 = -3*z + 2, 3*a - 5*z - 20 = v. Suppose a*m - m = 28. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1020 + -213211?\nAnswer: -212131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -100 (base 3) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vdvvvvvvvvvvv.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 312*w - 173*w - 612 = 105*w for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2106815 by 335.\nAnswer: 6289","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -96, -91, -82, -69, -52?\n\"Answer: 2*y**2 - y - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21355 is divided by 1538?\nAnswer: 1361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 251 minutes after 1:35 PM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - -41?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-107 - 3)*(-25 + ((-147)\/(-15) - -16))?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -x**3 - 6*x**2 - 5*x + 5. Let h be m(-5). Suppose 4*q = -q + 5. Suppose -3*z - 2 + q = -2*b, -2*z - h*b = -31. Solve z*a + 8 = -a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -41 (base 15) to base 4\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -23666045 + 5?\nAnswer: -23666040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by 11.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 43576 + -24309. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-9)\/((-9)\/(-3)) - 20. Suppose -2*x + 100 = -2*l, -l - 2*x - 47 = -0*x. Let z = g - l. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 319*v - 1623 = 5012 - 9825 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qyvyrvyqyyyq. Give prob of picking 3 q.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 8 = -20. Let u(t) = -73*t - 3*t**2 + 6 + 302*t - 3 - 62*t - 77*t - t**3 - 88*t. What is u(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 3*z. Let l(v) = -389*v**2 + 51*v. What is a(l(b))?\nAnswer: -1167*b**2 + 153*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3 - 7 + 0 + 3. Let d(p) = p - 1. Calculate 3*d(s) - 4*x(s).\nAnswer: 3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 7031235 and 45.\nAnswer: 21093705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -10*b**3 - 2*b**2 + 2*b**2 + 8*b**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f + 17. Let d be x(6). Let n be (3 - d)*(-86)\/(-4)*1. Let s = n + 44. Solve 2*o = q, o + 4*q - s = 8 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000019749049 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 3, c: 5, s: 1, e: 6}. What is prob of sequence cs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.81 - -1.61. Sort -4\/3, n, 1, 0.06.\nAnswer: -4\/3, n, 0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*h**3 + 2*h**2 + 5 - 2*h**2 - 2*h + 3*h**4 + 40 - 95 to the form j*h + m*h**2 + u*h**3 + d + r*h**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of 0 - 1\/120*r**6 - 1\/24*r**4 - 1\/60*r**5 + 36*r**2 + 17\/6*r**3 + 0*r. Determine j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -69 + 267\/4. What is the common denominator of ((-29)\/24)\/(6750\/(-810)) and t?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 246.93 - 250. Let t = -3 - b. Is -1\/2 smaller than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -426 = 10*y + 484. Let x be y\/(-70) - (-2)\/10. Find u, given that -3*u**3 + 3*u + 0*u**2 + 3\/2*u**4 - x = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -406, -785, -1166, -1549, -1934?\nAnswer: -2321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 1010110010 - 1?\nAnswer: 1010110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r + r + r)*((-2 + 1 + 0)*(-3*r + 5*r - r) - r + 0 + 0 - 3 + r + 3 + 0*r - 2*r - 5*r + (4*r + 4 - 4)*(-1 + 4 - 4)).\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g - 5*a - 65 = 7, -3*g = -3*a - 108. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express x**4 - x + 0*x**3 - 39*x**2 + x**3 + 18*x**2 - 5*x**2 - 5*x + 1 in the form d*x**2 + i*x + b*x**4 + a + t*x**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a factor of 6561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 1048.111ml in litres?\nAnswer: 1.048111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 PM and 9:54 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qqqqqmmmqmmm. What is prob of picking 3 m?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 53*k**4 + 2*k**3 - 2*k**2 + 610958*k wrt k.\nAnswer: 636*k**2 + 12*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 5 + 8*f**4 - 4*f**4 - f**4 - 9*f**3. Let a(v) = -3*v**4 + 9*v**3 - 6. Let i(g) = 5*a(g) + 6*h(g). Solve i(r) = 0 for r.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -48\/19 and 43\/1686.\nAnswer: 32034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*s - 5*v + 2*v = -3403, 4*s + 4*v - 3*v - 181 = 0 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = v**3 - 2*v**2 - 2*v. Let z be n(3). Suppose 5*b - 3*k - z = 10, 16 = 4*k. Solve 1 = 4*g + b for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -502, 12, 4 in descending order.\nAnswer: 12, 4, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 116  (b) 2  (c) -0.5  (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*r**4 - 117 + 25*r + 25*r - 30*r**3 - 55*r wrt r.\nAnswer: 48*r**2 - 180*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 385500 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8673 is divided by 1405.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r - 874 = -890 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1139069160 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u = v + 3, 9*u - 7*u - 103*v + 2 = -99*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 42 - 372. Let u = 333 + d. Calculate the highest common divisor of 6 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h + 54 - 58. Let b(w) = 131*w + 92. Is 77 a factor of b(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1195.993701 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 25 = -4*f. Suppose -9*k + 13*k - 12 = 0. Which is the smallest value?  (a) -2\/9  (b) k  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 15617 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 262 or 6584\/25?\nAnswer: 262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 33*l**2 - 12. Let x(w) = -8*w**2 + 3. Let a be 3 + (-44)\/16 - -2*(-21)\/(-24). Determine a*h(n) + 9*x(n).\nAnswer: -6*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 2*z**2 + 36*z + 6. Let a be k(-18). Let q be (-2)\/(-8) + 55\/20. Calculate the remainder when 12 is divided by q + -6 + a - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8\/(-4)*(-18)\/(-84)*-21\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 100509, 201015, 301521, 402027?\nAnswer: 502533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k = -0 + 8. Suppose 16 - 79 = -3*n + t, t + 83 = k*n. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (17 - (12 + 15) - (1 - 4 - -13))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -3155 + 1e0?\nAnswer: -2f75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.4, 1, 10, 647?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z - 8 = g - 5, -4*g + 11 = 3*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 250*(-28)\/140*1*2*(-19)\/(-38).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10923 and 3310.\nAnswer: 109230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 15*b**2 + 22*b + 10018 - 10113 + 7*b**3 - 8*b**3. Give w(16).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -32  (b) -0.4  (c) 0  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6911 - -20729. Suppose 9*o - o - z = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = -5*p - 277, 1083 = -c + 5*c + 5*p. Let x = -106 + c. What is the lowest common multiple of x and 8?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*w = 3*w. Suppose -2*s + 3*s = w. Suppose y - 6 - 11 = s. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.11 and -5215740157634.\nAnswer: -5215740157634.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 16 + (-1 - 0\/(-2)). Suppose -2*b - 6*g + 3*g = -199, -5*g - c = 0. Suppose -b = -5*n + 21. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = 54*j**2. Let v be b(1). Let f(i) = -i + 2. Suppose 4*r = -14 - 2. Let s be f(r). Calculate the greatest common divisor of v and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of -3*y - 1\/3*y**3 + 0*y**2 - 3. What is the first derivative of v(c) wrt c?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-7)*k**(1\/5)\/k*k)\/((k\/k**(-6))\/(k*k*k**(-1\/4))) assuming k is positive.\nAnswer: k**(-241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 3633943986 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-126)\/15 - -2)*-5. Suppose 4*v + f = 4*f + j, 3*v - 23 = 2*f. Suppose -10 = h - 2*h + v*i, 0 = h + 4*i - 10. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 5*c + 3. Let s(z) = -2*z - 1. Let n(j) = 6*s(j) + 2*w(j). Let o(f) = -25*f**2. Calculate o(n(i)).\nAnswer: -100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the third derivative of 1\/12*g**4 + 0*g - 2*g**2 + 0*g**5 + 0*g**3 + 0 - 1\/60*g**6. Find l such that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + 5 + 9 + -18\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -104334 (base 6) to base 4\nAnswer: -2021002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1027 - -836. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23662705.\nAnswer: 5, 11, 103, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -y**4 - 158*y**3 + 2*y**4 + 157*y**3 + 2 to d*y**2 + l*y**3 + q*y**4 + i*y + g and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 c and 1 o when three letters picked without replacement from ooocc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-3)\/12)\/((-54)\/(-48)). Which is the closest to y?  (a) -2  (b) -5\/3  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 + 5*u**2 + 2*u - 6. Suppose -3*j = 2*j - 3*b - 22, 4*j = -b + 21. Let z be w(j). Let p = z - 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -50, -18 in descending order.\nAnswer: -2, -18, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = j - 6. Let z be l(11). Suppose 0 = -u + 4*c + 475, -2357 = -z*u - 0*u + 2*c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p = -5*q + 372, 0 = q + q - p - 148. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.0315 in -1\/6, -0.4, 1\/2, -12?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k = -5*k + 75. Let j = 102272 - 102242. What is the highest common factor of k and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*w - 752 = 0, 4*g = 8*g - 5*w - 1003. Suppose -6*m + g = 6. What is the remainder when m is divided by 29?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1978912 at most as big as -1978909?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = b**2 + 13*b + 10. Let z be l(-11). Let p = 78 + z. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 244*r - 72*r - 92*r - 77*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -253, -495, -721, -931, -1125?\nAnswer: -1303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**2 - 3*l - 8. Let k be r(-6). Let h = k + 26. Let m(s) = -3*s + 541. Is m(h) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 24089 and 884.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 4*a + a = 11963, 0 = 4*s - 4*a - 47868. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tph when three letters picked without replacement from {p: 3, t: 3, h: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8550144 and 3024?\nAnswer: 59851008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert c (base 14) to base 2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.2391 + -0.0491. Let l = -18\/13 - -116\/65. Is l less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.04 - -0.36. Let u = -196\/465 + 2\/93. What is the second biggest value in b, u, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 188 divide 48128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-455)\/21560 - 2\/(-16)) + (-4)\/(-22)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3432 - -7.2516438.\nAnswer: -3424.7483562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d**3 - 1208*d**2 + 8613*d + 131219. Give x(-1215).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9 - -16. Suppose -650 = -l*u + 2*u. Is 26 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586655 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 949463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -1.5, 2, 5.1, 7290?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*y + 76 = 0, -5*y - 46 - 129 = 5*x. Let t = x + 232. Suppose t = 3*z + n, 0*z = z + 2*n - 67. List the prime factors of z.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-4\/3))**26\/((g\/(g\/(g\/g**(-2\/19)*g)*g)*g)\/((((g**(-3\/5)*g)\/g)\/g)\/g)))**(-42) assuming g is positive.\nAnswer: g**(157094\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 21*d - 17*d + 24 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -2*r**2 + 30*r + 17. Suppose 55*w = 51*w + 60. Let z be v(w). Solve -4*h - 1 + z = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7336 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 1464 divide 24232128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 2072257449 to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v - 1. Let d(t) = 3*t - 5. Suppose 2*o - 2*m - 2*m + 8 = 0, 3 = -2*o + 3*m. Suppose c + 25 = o*c. Calculate c*g(q) - d(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 160 bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.3 + 0.3. Let d be 12\/4 - 5\/1. Let u be (-6 - d)\/(-1 + -1). Which is the closest to u?  (a) 0.5  (b) h  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -4*v + 12. Let u be j(1). Suppose 0 = w + u*w - 54. Calculate the highest common divisor of w and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert ab34 (base 15) to base 9.\nAnswer: 54674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -3 + 15840045?\nAnswer: 15840042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -32\/65 and -73\/20.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (-2*sqrt(448) + sqrt(448))*4 + -5 + 3 + (-1 + sqrt(448)*5 - sqrt(448)))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = 354*p**2 - 16*p - 10. Suppose -2*m = -0*g + g + 17, -g + 5*m = -4. Let k be s(g). Round k to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1.92 - 0.08. Let h = -1 - b. Let o(s) = -s**3 + 11*s**2 - 11*s + 15. Let c be o(10). What is the third smallest value in c, 0, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 704 is divided by 270?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:12 PM and 2:27 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -306 + 105153?\nAnswer: 104645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Are 2\/33793 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7\/18 - -5\/18. Let i(k) = k**2 + 2*k - 1. Let r be i(1). Suppose -r = -4*n + 6. Which is the biggest value?  (a) n  (b) 0.5  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/5, -2\/1101, -3\/5, -3\/2, 0 in increasing order.\nAnswer: -3\/2, -3\/5, -2\/1101, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 26410 and 173500495?\nAnswer: 347000990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, k: 1}. Give prob of picking 2 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -132?\nAnswer: -132","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-6))\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*w**3 + 9*w**3 + 11*w**3 - 35*w**3 + 8*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 40 + -38. Let l = 2 - y. Put l, 4, -3, 2 in ascending order.\nAnswer: -3, l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11 - -11. Let r = k - -4. Suppose r*b - 6 = b. 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 o(k) = 15 - 6 - 4*k**2 + 2*k**2 + k**2. Let p be o(-3). Suppose j + 362 - 1141 = p. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 618*(-15)\/50 - 5. Let j = -190 - x. Let p(f) = -f**2 - 5*f. Let i be p(-4). Which is the second smallest value?  (a) 5\/4  (b) j  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -32  (b) 1  (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fkkffkokfkjoko. What is prob of sequence jo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**3 - p**3 + 4*p**3 + 6 - 6 + 6*p**3 + (p - 4*p + 2*p)*(5*p**2 - 6*p**2 + 3*p**2) - 2*p**3 + 4*p**3 + p**3 - 2*p**3 + p**3 + 3*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert -54696 (base 12) to base 5.\nAnswer: -12032240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2417019 and 3735393.\nAnswer: 41089323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*m**2*q**3 - 1684895*m**2*q**2 - 18052*m*q**3 + m*q**2 - 2*q**3 wrt q?\nAnswer: 18*m**2 - 108312*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Are -11018 and 2.25 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c**3 + 6*c**2 - 5*c + 1. Let m be w(5). Suppose 5 = -2*g + m. Does g = -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2 + -2. Let q(z) = z**3 + 3*z**2 - 6*z - 3. Let n be q(-4). Solve -3*d + 3*p + 6 = -0*p, i = -n*d + 3*p + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2317836, -4635558, -6953280, -9271002, -11588724?\nAnswer: -13906446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4613\/2 - -2355. Suppose 5*q + 30 = -q. Find the common denominator of (-267)\/(-75) + 1\/q - 4 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -1207*l - 2. Let x be s(-1). Let v = x + -2315. Does 5 divide 4\/14 + -2 + v\/(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -699, -622, -545, -468, -391?\n\"Answer: 77*p - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**9*(d*d*d\/d**18)\/d*(d\/d**19*d)\/d**(-20) assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a**3 - 6*a**2 - 2*a + 4. Let z be (-19)\/4 + 11\/(-44). What is p(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 265 divide 42665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the second derivative of -l**7\/420 - l**5\/20 + 7*l**4\/12 - 14*l. Let y(s) be the third derivative of x(s). Differentiate y(p) with respect to p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 31271416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 85 and 281724?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x - 4*l - 18 = 0, 19 = -5*x + 43*l - 40*l for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2 - 4)\/(-2 - 0). Suppose -5*b = 4*l - 0*l - 43, -4*l + z*b = -83. Let r = 22 - l. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l = 1529898 - 301654. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 minutes before 6:49 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/22345902 and -85\/14.\nAnswer: 156421314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -20 + 5*b + 20. Let i(p) be the second derivative of 0*p**3 + 0*p**2 - 1\/12*p**4 + 0 - p. Give c(i(o)).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-2)\/(33\/(-12) + 3). Let o be m\/(-6)*9\/6. Suppose 0 = -3*v + o*v + 2. Solve 3*p = -k - 18, -2*p + p - v*k - 11 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -183 + 388. Suppose 3*f - d - 655 = 0, f - 6*d - u = -3*d. List the prime factors of f.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1404, 2807, 4210, 5613, 7016?\nAnswer: 8419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -398 + 305. Let h = j + 195. What is the highest common factor of 85 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.07480441 to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/39 in 3\/7, 15, 5, -1\/457, 0.2?\nAnswer: -1\/457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -202 + 617 = -5*q. Let l = q + 83. Which is the third smallest value?  (a) l  (b) 5  (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*s**7*s*s\/(s**17*s)*s\/s**(-2\/3)*s*s**(-26\/9))**(-19) assuming s is positive.\nAnswer: s**(1406\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1013 and 0.251?\nAnswer: 1012.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find h, given that 756817*h**2\/4 - 756813*h\/2 - 4 = 0.\nAnswer: -8\/756817, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = -3*n - 7, 29*d - 25*d - 10 = -2*n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put together -122291309 and 0.0385.\nAnswer: -122291308.9615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 59cd7 (base 16) to base 8\nAnswer: 1316327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1856142756 a multiple of 1326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 469823017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 468\/(-195)*(-340)\/17.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -19 + 21 + 7 + (62 - -9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 128 - 106. Suppose 2*b = -5*j - y, -2*b - j - 4 = 10. List the prime factors of 588\/9 - (-2)\/b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -211 (base 7) to base 16\nAnswer: -6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 101111000011010110100001110101 - 1?\nAnswer: 101111000011010110100001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 0, -3\/5 in decreasing order.\nAnswer: 0, -3\/5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 2*h + 22 = 0, 33*c - 7*h + 3*h + 17 = -13*c + 277 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:11 PM and 9:00 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 10 + 1)*(4 - 2 + 0*q + 2*q).\nAnswer: 22*q + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -2, 2, -6281, 40, 3, -4 in ascending order.\nAnswer: -6281, -4, -2, 2, 3, 4, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 357 + -354. Solve 3*l = c*v + 24, 2*l - l = -v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(-1\/30)*u)\/(u**(-31)*u))**41)**(1\/13) assuming u is positive.\nAnswer: u**(38089\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -m**3 + 7*m**2 + 4*m - 3. Let a be i(7). Let x = 84 - a. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 338 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7907*x**3 + 2313*x**3 - 6091*x**3.\nAnswer: -11685*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b + b - 2 = -3*m, b - 2 = -2*m. Calculate the least common multiple of m and 7\/2 + (-1)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + -0.5. Let y = i - 0.2. Let v = 27\/14 + -10\/7. Which is the second biggest value?  (a) v  (b) y  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/4415 in -1\/15, 0.4, 0, -0.1, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -24*f + 1027. Determine j(45).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = p**3 + p**2 + p - 2. Let v(x) = 2*x**2 + 2*x - 3. What is -6*g(m) + 2*v(m)?\nAnswer: -6*m**3 - 2*m**2 - 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Divide 14201 by 1.\nAnswer: 14201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000584294499 rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 31523266799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 921, 7500, 25423, 60366, 118005, 204016, 324075, 483858?\nAnswer: 689041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6\/11*o**2 + 0 - 438\/11*o = 0 for o.\nAnswer: 0, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -2  (b) 1\/9  (c) 1\/49  (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.42 - 0.06. Let z = -0.06 + q. Let p = 1287 - 1286.8. Which is the biggest value?  (a) z  (b) p  (c) -1  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-8)\/6)\/((-36)\/4590). Let l = -113 + q. What are the prime factors of l?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.5 - -0.3. Let i = -0.26 - 4.74. What is the third biggest value in i, q, 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -o**4\/6 + 19*o**3\/6 - 43*o**2\/2 + 123*o\/2 - 63 = 0?\nAnswer: 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 3*f - 2*f. Let a be (-2)\/f - 55\/150. Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3 - 2. Let b(y) = 24*y - 304. Let k(t) = 16*t - 203. Let g(j) = -5*b(j) + 7*k(j). Let m be g(13). What is the nearest to a in 0, -0.4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:13 AM and 4:35 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 108470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 11\/13442408?\nAnswer: 11\/13442408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -5 + (-2 - 8) + 21\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 PM and 11:27 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/3, -29, 1\/5, -0.3, -0.021?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = 3*u - 3*d - 72, -6 = 5*u + 3*d + 66 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**2 - q - 3. Let k(h) = h**2 + 7*h + 3. Let n be k(-7). Let l be m(n). Solve 6*i - l*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -497361*c - 11. Let j(g) = -8*g + 2. Calculate j(l(p)).\nAnswer: 3978888*p + 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor 779*d**2\/7 - 13245*d\/7 + 34\/7.\nAnswer: (d - 17)*(779*d - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*m**2 - 48*m**2 - 40*m**2 + 371*m**2 - 238*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -123*i**2 + 22*i**2 - 94*i**2 + 7*i**2 - 48 wrt i.\nAnswer: -376*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 278784576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 506  (b) -2\/5  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -h**3 - 31*h**2 - 25*h + 224. Determine b(-30).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uk when two letters picked without replacement from jkkjkjjkjkkzjjujkjju?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 79*m**3 - 2*m + 4441*m**2 - 121*m**3 - 4433*m**2 + 0*m - 183*m**3 + 2 as c + t*m**3 + r*m**2 + x*m and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-152)\/(-16) + -10 - (-7)\/2. Sort 332, -1, u in decreasing order.\nAnswer: 332, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10 + -23. Let u(x) = x**2 + 12*x - 11. Let c be u(f). Solve 2*q - 6*g - 10 = -c*g, -2 = -q - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*r = -2*u - 4 - 2, -20*r - 21*r - 30*u = -46*r + 90 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 43 in -1\/17, 0, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -h**2 + 6*h + 86. Let x be q(12). Solve 2*n - 10 = -2*d + 6*d, 2*d - 4*n = -x for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 340443.\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p = 96 - 24. Is 5 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-6)\/(-14) + -1 + 912\/28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 2 = 2*i, -5*i - 3 - 1 = -4*t. Suppose -9*r - 4 + 13 = i. Suppose -k = r - 8. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in c - 3*c - 429 - c + 788 + 308 + 7*c.\nAnswer: 4*c + 667","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -a**3 - 2*a + 15. Let r be u(0). Solve 2*m = 5*m - r for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + 3*f - 480 + 520, t - 4*f - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 6*j**2 + 41*j - 135. Let w be h(6). Let v = -32\/33 - -18\/11. Which is the biggest value?  (a) v  (b) 1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 + 8*t - 2. Let r = -135 + 191. Let v = r + -49. Calculate n(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3 - 1. Let w be 11 + (-4 - -5) + -4. Let o = w + z. Solve 5*b + 3*i = -o, -b = 4*i + 5 + 6 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = u**2 + 16*u - 7. Let q be 35\/(-21)*-3*1. Let c(x) = q + x - 9 + 1 + x**2 + 7*x. Let g(w) = -5*c(w) + 3*l(w). Factor g(t).\nAnswer: -2*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 175, 357, 539, 721?\n\"Answer: 182*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 632371?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59982?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, -0.194, 0.5, -4\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -226 + 61. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.40824 + -0.471244. What is r rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1686\/(-130) + 13)*5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2576*0.9.\nAnswer: 2318.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -150\/144629 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12977021 to the nearest integer?\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y**5 + 16*y**4 + 28*y**3 + 8*y**2 = 0. What is y?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-85)\/68*4 - (-2 + (-828)\/282).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.3 - -2.7. What is the closest to -2 in m, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) 1388  (b) 51  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 183889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -62*q + 949 = 639 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20143.7 and -13238.\nAnswer: -33381.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - 5*m = -9*s - 5810, 2*s + 4*m + 2306 = 0. Let d = s - -12739\/11. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 5*j = -5*s + 681030, -4*s - 4*j = -544832. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0  (b) -5  (c) -0.5  (d) -4  (e) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:25 AM and 6:09 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the second derivative of -317*z**5\/10 + 2*z**4\/3 + 2407*z**2 + 12074*z. Find the first derivative of r(c) wrt c.\nAnswer: -1902*c**2 + 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 9469858 to the nearest integer?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2415 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 307549 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.615807 rounded to 3 dps?\nAnswer: -3.616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -0.15176*-0.1\nAnswer: 0.015176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24753 divided by -24753.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -11*i**2 - 2625*i + 2623*i - 2*i**2 + 57*i**3 + 8*i**2 to the form b*i + u + y*i**3 + t*i**2 and give y.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes after 6:25 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 429*s**3 + 63*s**2 - 61*s - 1. Give o(1).\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mbmmyobmymomooomyy. What is prob of sequence boom?\nAnswer: 7\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + sqrt(363) + 1 + sqrt(363))**2 - 3*sqrt(108)*-1.\nAnswer: 150*sqrt(3) + 1461","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 2*k + 5. Which is the closest to -0.1?  (a) 2\/13  (b) k  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.031 in 5, 0.08, -1\/7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*b = -5*b - 12. Suppose -20 + 50 = 5*n + b*i, 5*i - 21 = n. Differentiate 7 + n - 3 + 4*v**4 with respect to v.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 324 and 85736?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) be the third derivative of -2*b**7\/105 + b**6\/30 + 2*b**5\/15 + 5*b**2. Factor d(i).\nAnswer: -4*i**2*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1045 + 1046. What is the third biggest value in -0.5, z, 27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yeyy. Give prob of picking 2 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -100 divided by -143.\nAnswer: 100\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2\/3)\/(-1 + 8 + -1). Let z(l) be the first derivative of 2 - 2\/15*l**5 - a*l**6 + 1\/6*l**4 + 0*l**2 + 0*l + 2\/9*l**3. Suppose z(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/71797 + -24482765\/430782. Let z = x - -57. Factor 1\/3*h + z*h**2 + 1\/6.\nAnswer: (h + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 119?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 - 1300535?\nAnswer: -1300530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72, 0, -213, 25, 3, -5, 2 in descending order.\nAnswer: 72, 25, 3, 2, 0, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -737 + 737 - 198*w in the form j*w + n and give j.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*m = -p + 11, 77*p + 3*m - 35 = 82*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 3*i**3 - 13*i**2 + 6*i + 3. Let w(h) = -7*h**3 + 27*h**2 - 11*h - 5. Let s(q) = -5*g(q) - 2*w(q). What are the prime factors of s(8)?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2625 + -2542. Solve 5*o - s = -93 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lolj when four letters picked without replacement from {l: 2, u: 2, j: 3, o: 1, d: 3, n: 1}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 168\/(-126)*10707030\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) 0  (b) 0.59  (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -827*f - 432*f + 435*f.\nAnswer: -824*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*n - 140*p + 141*p + 82, 2*n = -p + 78. Let -n + 8*b - 2\/5*b**2 = 0. What is b?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 82, 96, 114, 136, 162, 192, 226?\n\"Answer: 2*h**2 + 8*h + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-2\/15)*r)\/r**(3\/10)*r**(2\/25)*r**(-38)\/r assuming r is positive.\nAnswer: r**(-5753\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 59832 divided by -1108?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = 3*r + d + 4*d, 4*d = 4*r - 24. Let q = -31 + 40. Let h be 8\/q*1\/(-4). Which is the closest to 0.1?  (a) r  (b) h  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1403527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*x**2 + 3*x**2 + 0*x**2 - x)*(-317 - 9*x - x + 314) - 3*x**3 + 2*x**2 - 2*x**2.\nAnswer: 7*x**3 + 13*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, -2\/19, 5, -9\/5, 0.3 in decreasing order.\nAnswer: 5, 0.3, -2\/19, -9\/5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + ((sqrt(204)*-2*3 + sqrt(204))\/sqrt(6))\/(sqrt(24)\/(sqrt(12) - ((sqrt(96)\/sqrt(2))\/sqrt(4) + sqrt(12)))))**2.\nAnswer: -30*sqrt(17) + 434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 83075382 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 - 12*j**2 - j + 2. Let y be 1\/2 + 50\/(-4). Let k be x(y). Let h = 24 - k. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394654619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence al when two letters picked without replacement from {h: 1, l: 4, a: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 418 (base 12) to base 9.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3262*a - 401*a - 71664 - 255376 = -1619*a for a.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 20 - 16. Suppose 0*b + 2*b - h = 0. Solve 0 = 2*w + 7 + b for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -27, -65, -119, -183, -251, -317, -375, -419?\n\"Answer: o**3 - 14*o**2 - 3*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 21 = -0. What is the remainder when 39 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:47 AM and 9:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -393*f - 48 = -3*v - 396*f, 3*v + 2*f - 31 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1856701?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1009423438?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the first derivative of 14*x**3 + 6561. Let o(i) = -72*i. What is o(v(u))?\nAnswer: -3024*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2.1 + -2. Suppose 0 = -11*f + 9*f + 180. Let k be (-39)\/f - 9\/(-15). Which is the closest to q?  (a) k  (b) -0.4  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 102 a factor of 4336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 386 - 386.1. What is the third smallest value in k, 1\/43, -0.2, -2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (5 - 3) + -1 + 2. Suppose d*c - 3 = 5*u - 2, 2*u = c. Suppose 5*w - 30 = -5*f, f + 6*w = c*w. Calculate the smallest common multiple of f and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 6405 + -2750. Which is bigger: 3656 or z?\nAnswer: 3656","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k = -4*k + a, -a = 2*k - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 0 - 2785*x - 2547*x + 5323*x.\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z + 4. Let h(b) = -b - 4. Let a(c) = -4*h(c) - 5*o(c). What is the first derivative of a(r) wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 7*r**3 + 2*r**2 - 3*r. Suppose 0 = -4903*v + 4902*v + 2*s + 37, -2 = -v - 5*s. Let n(z) = -48*z**3 - 15*z**2 + 21*z. Give v*p(k) + 4*n(k).\nAnswer: -3*k**3 - 6*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d. Suppose 6*u - 2*u = 8. Let a(b) be the second derivative of -u*b + 0*b**2 + 0*b**3 - 1\/12*b**4 + 0. Calculate i(a(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/2 - 18195*c + 290992.\nAnswer: (c - 36374)*(c - 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 330983 - 183983. What is r rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*q**4*y**3 - 86749*q**4*y**2 - 156758*q**2*y**2 + q*y**3 wrt q?\nAnswer: -48*q*y**3 - 2081976*q*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dxqdxxxxxx. What is prob of sequence xq?\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 246537.\nAnswer: 3, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -154 times 10\nAnswer: -1540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c + 14. Let q be f(0). Let g = 14 - q. Solve -3*v + g*v = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1907715 is divided by 5625?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43632 = 184006*n - 184438*n for n.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 215, 2717, 5219?\n\"Answer: 2502*s - 2287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1684)\/(-10) + (-12)\/(-20). Suppose -i - 66 = -5*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u = j - 3414, -u - 4*u - 3*j + 8535 = 0. Suppose 0 = q + u + 2893. Round q to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {j: 4, u: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3*r + 0*r + 2*r)*(-r + r + 2*r) - 6*r**2 - r**2 - r**2 + 3*r**2 - 3 + 3 + (-9 + 2*r + 4 + 4)*(-3 + 3 + 6*r) to the form i*r**2 + a + w*r and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -735 by 15.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 22  (b) -1  (c) 0.1  (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide (-16)\/6*(-30)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (21*t - 3*t - 52*t)*(-3 + 2 - 2)*(4 - 2 + 1).\nAnswer: 306*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 2916 - 140.307496?\nAnswer: 2775.692504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -13*t - 6. Let a(f) = f + 1. Let n(b) = -5*a(b) - v(b). Give n(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*k**3 - k**3 + 0*k**3 + (2 + 0 + 2)*(5*k**3 + 2*k**3 - 4*k**3) - k**3 - k**3 + 0*k**3 to the form o*k + w*k**2 + r + m*k**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/(-46)*(-1193 + 1285).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -1094, 5663, 12420?\n\"Answer: 6757*l - 7851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 20208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4 - 2 - 5*h + 3. Let g(l) = -3*l - 2. Let j(y) = 8*g(y) - 5*t(y). Suppose 0*w + w + 5 = 0. Give j(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = -3*b + 40. Determine n(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2796*u + 4294*u - 14130*u)*(-5 + 5 + u**4 + (-u - u + u)*(5*u**3 - u**3 - 5*u**3)).\nAnswer: -14080*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.2, -1, 10281.91?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 3 - 3)*(-6 + 2 + 3)*(0 + 3176*y - 3166*y - 3).\nAnswer: -50*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {y: 1, u: 1, o: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 3299 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.07834004815 and 1058.\nAnswer: 1058.07834004815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2726 and 1286672.\nAnswer: 2726","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - 5 = 5*j, -h - 21 = 4*j + j. Put j, 5, -2 in ascending order.\nAnswer: j, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the first derivative of -m**3\/3 + m**2\/2 - 3*m - 10. Let f be (-15)\/(-18) - ((-115)\/(-30) + -3). Determine a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17 and 2839.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 7 + 3)*(-3*t**2 - 2*t**3 + 3*t**2) to s*t**3 + x*t**2 + r*t + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 14034906 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 546031988 + 8415.\nAnswer: 546040403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*t - b = 38, -4*b - 8 + 26 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -c**3 + c**2 + c + 1. Let o(w) = 7*w**3 - 16*w**2 - 4*w - 7. Give -o(l) - 6*u(l).\nAnswer: -l**3 + 10*l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tla when three letters picked without replacement from paaagppgpgatppaggll.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15\/4 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + 18 = -102. Calculate the lowest common multiple of b and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 26\/3, 0.5, 0.3, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + 34 + 13 = -3*b + 74, 0 = -2*b - b + 6 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i\/((i\/((i**(-2\/29)*i)\/i))\/i*i)*i)\/(i\/i**27)*(i*i*i**(8\/9))\/i*i**(1\/6)\/i assuming i is positive.\nAnswer: i**(14609\/522)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in -0.11, -0.2, 3, 4?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 9, r: 2, j: 2, a: 1, f: 4, z: 2}. What is prob of picking 1 f, 1 y, and 1 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3168 divided by -7176\nAnswer: 132\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -128879, -128887, -128895, -128903?\n\"Answer: -8*y - 128871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -19 + 66. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-1)\/56)\/((-195)\/1365). Let t(u) be the first derivative of -x*u**2 + 0*u + 1\/12*u**3 - 6. Factor t(d).\nAnswer: d*(d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 t when three letters picked without replacement from {u: 5, k: 1, t: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-457 - -545)*3\/(-24)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 3972 = y - 3*s, 3976 = 3*y - 5*s. Suppose -21*j + 19*j = 2*r - y, -r + 669 = 5*j. List the prime factors of r.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*o = 2357 + 170827. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from ouggwuwgggugwwugguw?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.3, -0.02, 31 in increasing order.\nAnswer: -0.4, -0.3, -0.02, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3621107 to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3\/7  (b) 210  (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.2+-237.90079685\nAnswer: -238.10079685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Product of -74 and 1464.\nAnswer: -108336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -7662 + -182444753?\nAnswer: -182452415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -262511*r = -262486*r - 325 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 84 and 5886024.\nAnswer: 41202168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + 15\/5 + 164\/(-1804) + 120\/(-11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*k + 10*k - 327658 + 33557 = 0. List the prime factors of k.\nAnswer: 19, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t - 52*q = 320, 4*t - 25*q + 80 = -48*q + 19*q for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -n - 2. Let w be p(-5). Suppose 0 = -5*g + w*g. Solve m - 5 = 3*c, c - m + 1 = -g*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 181225 and 825.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 38. 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: Do 1\/3 and -3\/1403 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2+372545.271211\nAnswer: 372543.271211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**3\/3 - 2*s**2 + 8\/3.\nAnswer: -2*(s - 1)*(s + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t + 30 = 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 117 = -4*a, 3*a = 4*x + 6*a + 131. Let q = x + 87. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -656365 (base 9) to base 11\nAnswer: -24838a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 385 minutes before 6:34 AM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 45 and 2136210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (6\/9)\/((-4)\/6). Let i be -1 + (3\/12 - r). What is the closest to i in -2\/5, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5\/4, -731, 3, -3\/5, 14 in decreasing order.\nAnswer: 14, 3, 5\/4, -3\/5, -731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -343 - -367. Solve -k = 10*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -26 + 1170?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -17332, -1, -5, -4, 3, 4, -48 in ascending order.\nAnswer: -17332, -48, -5, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let -34*i**2 - 87826*i - 1233120 = 0. Calculate i.\nAnswer: -2569, -240\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 167642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 12 = 3. Let j be -2*(b + -5) - 4. Solve 8 = -4*s + 4*o, 4*s + 0*s + o - 7 = j for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1363)\/(-50431) - (-104)\/259. Find l, given that 0*l + 0 - 6\/7*l**4 - 12\/7*l**2 + 3*l**3 - v*l**5 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5 (base 8) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**5\/15 - 20*b**4 + 2*b**3\/5 + 896*b**2\/15 - 40*b = 0. What is b?\nAnswer: -150, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24 - -4) + (-68 - -40)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-144)\/(-99))\/8*2\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = d + a, 2*d - 18 = 6*d - 2*a. Let o(j) = -5*j**3 + j**2. Let x be o(-1). Does 20 divide (-80)\/d*x\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 - 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from rrrrsrsrr.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -4 + (-96)\/(-1 - 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/5, 0.3, -70?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2370346699 + 118?\nAnswer: 2370346817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1631 and 71?\nAnswer: -115801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 2*(-3 + (-1 - 3\/3)). Let f be -5 + (-20)\/25 + 2\/g. Let u(o) = o**3 + 7*o**2 + 6*o + 3. Give u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(1*sqrt(99) + 3))**2 - (-6*(1*sqrt(99))**2 - (-2 + (sqrt(99) - (-1*sqrt(99) + sqrt(99))**2))).\nAnswer: 291*sqrt(11) + 2320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 960 and 600.\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1703150*r**2 + 619382.\nAnswer: -3406300*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + 0.2. Let y = -2 - -2.1. Let d = -127547\/10 + 76529\/6. What is the third biggest value in y, o, 1, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -a - 4*k + 52, 2*a = -3*k + 19 + 65. Calculate the lowest common multiple of a and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8522973533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 2*g + 10, o - 2*g + 20 = -6*g. Suppose -2*m + o + 8 = 0. Find the third derivative of h**2 + h**m + 0*h**3 + 0*h**3 wrt h.\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-16)\/876)\/(4\/(-6)). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1))**(1\/3))**(1\/30)\/((((l\/(l**(6\/11)\/l))\/l)\/(l\/(l*l**(3\/7))))\/(l*l**(-2\/5))**(-1\/3)) assuming l is positive.\nAnswer: l**(-7583\/6930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/7 less than -531789502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {j: 1, w: 4, l: 9}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 129 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*j + 14*j + 96 = 19*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*z**3 + 6*z**3 - 14*z**3.\nAnswer: -5*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2046 - -12441?\nAnswer: 14487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eq when two letters picked without replacement from djqejjb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 6*u + 2*u. Suppose u = 2*p - 5*m + 7, m = 5*p - 6 - 11. Which is greater: 0.02 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 914171 divided by 2\nAnswer: 914171\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h**2 - 294*h + 9682. What is p(30)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from amxmk. What is prob of sequence mmxa?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**3\/3 - 640*h**2 - 151008*h + 3748096\/3.\nAnswer: -2*(h - 8)*(h + 484)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -14 (base 5) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 44*b**4*u - 252*b**2*u - 91608*u wrt b?\nAnswer: 176*b**3*u - 504*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4.2 + -1.2. What is the closest to 2 in -1\/4, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*x - 9 - 43 = 0, 5*x - 234 = 4*t. Let v = t + 63. Solve -5*l = h - l + v, 23 = 4*h - l for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 75  (b) 0.3  (c) 301  (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 20. Let m(w) = -w + 18. Let a be m(k). Suppose 5*v = 3*q + 9, 3*v - a*q - 1 = 4. Solve -2*o - 2 = 2*l - 0, l - v = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48369 is divided by 48354?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -20, -2*l + 0*l + 348 = -5*b. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = k**3 + 22*k**2 - 28*k + 636. What is u(-20)?\nAnswer: 1996","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 2*d**3 - 3*d**2 + 2. Let m = -1 - -3. Determine p(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -91 in 0.4, 0.3, -66\/7, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ixggxiigxigg. What is prob of sequence iixi?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5159444?\nAnswer: 2, 53, 24337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0080521 rounded to four dps?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 11) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (392\/(-147))\/(4\/6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of -k**4\/4 - k**3\/3 - 3. Let t be c(-2). Solve -5*m + 0*l - 4 = t*l, 3*l - 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 - -7. Suppose 2*q + v*c = -3*c + 7, 4*q = -5*c + 13. Suppose 0 = -s + 2*k + 7, -2 = s + q*k + 3. Do s and 2\/63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*a**3 - a**3 + 9*a**3)*(-3*a**2 + 5*a**2 + 3*a**2) + 8*a**3 + 4*a**5 + 9*a**3 - 16*a**3.\nAnswer: 44*a**5 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 7770317, 15540637, 23310957, 31081277, 38851597, 46621917?\n\"Answer: 7770320*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -78.3 to the nearest integer.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1764260.56 rounded to the nearest 10000?\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 - 81. Let u be (8694\/y)\/(-23) - (-6)\/(-16). Sort -4, 2, u, -1.\nAnswer: -4, -1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((w**5)**(9\/5))**(2\/53))**(1\/37))**(-42) assuming w is positive.\nAnswer: w**(-756\/1961)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -72746, -70649, -68552, -66455, -64358?\n\"Answer: 2097*f - 74843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -18.3 smaller than -163\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*j**2 - 61*j**2 - 54*j**2 + 35*j**2 + (-j + 2*j - 4*j)*(j - 5*j + 3*j) + j**2 + 0 + 0 to f*j**2 + p + d*j and give f.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4 + 7. Suppose 4*k = -q*k + 462. What are the prime factors of k?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 515.125 centuries in millennia?\nAnswer: 51.5125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1097778, 4391153, 9880112, 17564655?\nAnswer: 27444782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -2*h**3\/21 + 2*h**2\/7 + 6916. Factor x(j).\nAnswer: -2*j*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 187884 rounded to the nearest 10000?\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 4408 and 1594594?\nAnswer: 6378376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 20801 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**3 + 74*b**2 + 720*b - 12600.\nAnswer: -2*(b - 42)*(b - 10)*(b + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 42284245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*h*m**4 - 17892*h*m**2 - 4060*h - 1768243*m**4 wrt m?\nAnswer: -600*h*m - 42437832*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -7*z**3 - 2*z**2 - 9*z + 11. Let u be 75\/(-12) - 3\/(-12). Let k(x) = 4*x**3 + x**2 + 5*x - 6. Determine u*h(i) - 11*k(i).\nAnswer: -2*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 4*d**2 - 2*d + 1. Let t be i(1). Suppose 257 = t*m - 1996. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 386 + -231. Find the third derivative of 215 - v*x**2 + 20*x**6 - 215 + 4*x**3 wrt x.\nAnswer: 2400*x**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -3*o**3 - 5*o**2 - 4*o. Let p be b(-2). Suppose 4*q - 436 = -5*d, d = -2*d - p. Suppose -26 = -5*i + q. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -2*q + 3*q. Let j = 12 + q. Suppose 7*r - 12 = j*r. Sort -2, r, -1 in descending order.\nAnswer: r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1041\/7 + -149. Let d be 5258\/1848 + (1 - 195\/52). What is the nearest to -1 in 0.5, 0.2, d, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 157 is divided by 72.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from {y: 10, l: 10}?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -8. Let q(i) = i + 1. Let n be q(x). Suppose -n*p + 0*p - 1880000 = 0. What is p rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*i - 2*i + 4*i)*(-4*i - 2*i + 2*i) - 2*i**2 + 0*i**2 + 3*i**2 + (-i**2 - 2*i**2 + 4*i**2)*(0 + 1 - 2) + 0*i**2 - 2*i**2 + 4*i**2.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = p**3 + 11*p**2 - 5. Let l be o(-11). Let r be -44 + (6 - (-2 - l)). Let t be r\/(-13) - (6 + -3). What is the biggest value in -0.5, t, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (58*q**5 - 189*q**5 - 173*q**5)*(2 + 2 - 3)*(0 + 5 + 2).\nAnswer: -2128*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1038142 by 56.\nAnswer: 74153\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 - -0.3. Let z = -31.975 + 32.075. Sort 2\/7, z, -0.5, k in descending order.\nAnswer: 2\/7, k, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven eighths of a microsecond in nanoseconds?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4*-6*(sqrt(132)\/sqrt(96) + sqrt(22)))\/(-1*sqrt(200)*5*-5))**2.\nAnswer: 99\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 3, t: 7, y: 1, s: 2, d: 5}. What is prob of sequence dysd?\nAnswer: 1\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 25.02372960949 + -0.02372863949. Let v = z + -25. What is v rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 482, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-20)\/15*4\/((-16)\/(-18))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 6923907217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*z + 8, 7*s - 5*z - 40 = 2*s. Suppose -3 = -3*g - s. Let r be ((g - -3) + 3)\/1. What is the highest common divisor of r and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i + 10*i = -140. What is the nearest to 1 in 0.1, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = 9*p**3 + 5. Let b(d) be the first derivative of -9*d**4 - 21*d + 96. Determine 5*b(w) + 21*t(w).\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*k = -49*k + 6. Is k equal to -20\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3056340 a multiple of 766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -64 - -64. Let m = 37.2 + -49. Let k = m - -11.8. Which is the nearest to s?  (a) k  (b) -7  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 7 + -8. Let t be (6\/5)\/(27\/90). Suppose 0 = -3*w + 5*m + 12, t*w - 3 = 2*m - 1. Is l smaller than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -16*b**2. Let n(y) = -y - 1. What is n(j(q))?\nAnswer: 16*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18641 = -8*s + 76505. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gac when three letters picked without replacement from {a: 4, k: 2, c: 2, g: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Do -19 and -1122\/61 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.02 + -0.101. Let j = w - -0.075. What is j rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 7328 and 7328 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 9 + -3 + -2 + 6 + -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 7187.569 nanometers?\nAnswer: 0.0007187569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6*i**3*o**2 - 469*i**3*o - 2660*i**2*o**2 + 2405*i**2*o + 3*i*o**2 + 4*o**2 wrt o.\nAnswer: -12*i**3 - 5320*i**2 + 6*i + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-258)\/4*-1*(-10)\/(-15). Suppose 0 = -5*g + q + z, -3*q + 11 = -4*g + 52. Calculate the remainder when 46 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(8)\/(sqrt(12)\/sqrt(3)) - sqrt(2)) + (0 + sqrt(2))*3 + (-1 + 0 + sqrt(98) - sqrt(98)).\nAnswer: -1 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -d - 1. Let j(s) = 6*s + 5. Let z(q) = j(q) + 5*x(q). Let n be z(2). Factor -30*u**n + 18*u + 3*u**5 - 7*u + 4*u + 30*u**3 - 15*u**4 - 3.\nAnswer: 3*(u - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10101 + -11?\nAnswer: 10020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -61*p + 50*p + 44. Let s be (-74)\/14 - (-4)\/14. Let y = -2 - s. Put y, p, -3 in decreasing order.\nAnswer: p, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 10\/8*(-2)\/(-10). Which is the closest to -0.2?  (a) 5  (b) o  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = i**2 + 4*i - 4. Let b be g(-6). Let t = 27 - b. What are the prime factors of t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 517, 753, 1139, 1669, 2337, 3137, 4063, 5109?\n\"Answer: -o**3 + 81*o**2 + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -13 + (-3 - -12) - -2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(45)\/sqrt(81) + (sqrt(45) + 4)**2 + (3*2*sqrt(5) + sqrt(5) - (sqrt(320)*1)**2) + -4.\nAnswer: -263 + 94*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 370 and 163110985?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 + 0.58. What is the smallest value in x, 1, 2\/11, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15*f = -0*c - 3*c - 24, -4*f = -53529*c + 53528*c - 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2450*y**2 + 283*y + 8*y**4 - 283*y - 10*y**4 + 140*y**3 = 0.\nAnswer: 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 4*r**3\/3 - 4*r**2 - 6*r - 42. Let d = 66 - 71. Calculate i(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30179514 is divided by 2321500?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -1)*(-7)\/(-56)*-8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -370*n - 6. Let d(y) = y**3 - y - 2. Suppose 6*o = 5*o. Let k be d(o). Is a(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 271 divide 1985804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t - 4*i + 24 = 0, -2*i - 5 + 13 = 0. What is the derivative of -3*l + 3 + 3*l + t*l**4 wrt l?\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2620 and 32.\nAnswer: 20960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 15, -6, -5, -49, -3, 17 in increasing order.\nAnswer: -49, -6, -5, -3, -2, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s + 0*s + 3*s)*(20 - 16 - 13)*(4 - 4 - 2)*(-24*s**4 + 20*s**3 - 20*s**3).\nAnswer: -864*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -55*n - 8. Let v(g) = -83*g - 12. Let p(f) = -8*o(f) + 5*v(f). Is 13 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u = -27 + 24 + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -47895.1 - -47893.1. Let l(x) = x + 5. Let c be l(0). What is the closest to -1 in g, -1\/6, c?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**2 + g. Let x(p) = -10*p**2 - 8*p. Let i(s) = -8*l(s) - x(s). Find t such that i(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1554 a factor of 6943418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) = -x + 1. Let s(o) = 14*o**2 - 56*o + 56. What is s(g) - 56*w(g)?\nAnswer: 14*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) be the third derivative of g**6\/10 - 13*g**5\/60 - 11*g**2. Find the third derivative of m(w) wrt w.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 399588, 799187, 1198782, 1598373, 1997960, 2397543, 2797122?\nAnswer: 3196697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/24*318\/4 and -41\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u - 5, -5*v - 4*u - 25 = u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or -2\/7613175?\nAnswer: -2\/7613175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 1. Let r(i) = -2*i + 15. What is -4*p(y) + r(y)?\nAnswer: -2*y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 346381004 a multiple of 707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.303*0.28.\nAnswer: 0.08484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1827483 is divided by 26485.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*d + 8*d + 63 = 0. Which is the nearest to d?  (a) 15  (b) -0.5  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 5*d**2 + 148*d - 148*d. Let a(j) = -3*j**2. Calculate a(h(i)).\nAnswer: -75*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/14*15\/(-15).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 132870726?\nAnswer: 2, 3, 499, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -q**4\/4 + 557*q**3\/4 + 56673*q**2\/4 + 56115*q\/4 = 0. Calculate q.\nAnswer: -87, -1, 0, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 3024 and 39144.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22442 + -244?\nAnswer: -23130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t, 1 y, 1 s, and 1 a when four letters picked without replacement from {w: 1, t: 2, y: 6, i: 4, a: 1, s: 4}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3989957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c\/c**(-16)*c*c**0 assuming c is positive.\nAnswer: c**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -38*s**2 - s. Let a be b(-1). Let h = -31 - a. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3.7 - -3.2. Let p be (-2)\/(-6) - (-1 + 2). Sort -3, p, a in increasing order.\nAnswer: -3, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 120*u**3 - 11*u + 39*u - 43*u**3 - 28*u.\nAnswer: 77*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*f + 5*f - 2*f)*(-2 + 2 + 2)*(37*f - 6*f**3 - 37*f).\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1380)\/(-80) - 1144\/352?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from fnnnfnnnfnf. Give prob of sequence fnnn.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*h\/((h\/(h*((h*h**18*h)\/h)\/h))\/h))\/((h**18\/h)\/h) assuming h is positive.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -0.307 * 0.23\nAnswer: -0.07061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 6296.805 + -6373. What is l rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1 - (-1 - 3 - -85). Let m = -484 - w. Let r = 593 + m. What is the greatest common factor of 21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 - 2*l**3 + 2*l**3 + (-1 + 1 - l**2)*(-3 + 2*l + 3) - 2*l**3 + 3 - 3 - 2*l**3 - 2*l**3 + 3*l**3 + (-8 + 1 - 4)*(0*l**3 + 0*l**3 + l**3).\nAnswer: -17*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14936.\nAnswer: 2, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that -606*f**4 + 66499*f**3 - 113903*f**2 + 42610*f + 5400 = 0.\nAnswer: -10\/101, 5\/6, 1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from urarl. What is prob of sequence ua?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -205, -409, -613, -817?\nAnswer: -1021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 11630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1212338 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -160*h + 74 = -155*h - 3*r, 3*h + r - 36 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 29377894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 0, -1235, 8\/13, -585?\nAnswer: -1235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k*(k*k**(5\/2))\/k*(k\/(k\/(k\/(k*k**(-1)\/k*k*k))*k)*k*k)\/k*(k*k*k\/(((k*k\/(k\/(k\/(k*k\/(k\/(k*k**(-4)*k))))))\/k)\/k))\/k**0 assuming k is positive.\nAnswer: k**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.56?  (a) 5\/2  (b) 4  (c) 6.882  (d) -0.4  (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -24 + (54 - 14) - 23?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10bd3 (base 15) in base 11?\nAnswer: -37053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (5*(-2)\/(-10))\/(1\/46). Suppose 3*v + 22 = u. Solve -v + 6 = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 682*a - 4*c = 677*a - 5, -4*a = 4*c - 32. Solve 5*o - 5 = 3*n, a*n + 5*o - 5 = 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5 - -8. Suppose 0 = -2*h - 2*g + 12, 3*h = x*g + 2*g - 6. Suppose 6 = 3*k + o - 0, -h*k + 3 = 2*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22640.\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 90 - 51. Let p = z + -39.067. Round p to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 338809223.\nAnswer: 8011, 42293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Total of 29074 and 9682219.\nAnswer: 9711293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = -2*w - 2260. Let t(c) = -19*c**2 - 101*c - 44. Let q be t(-8). Is q != w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 10*v + 311. Give r(23).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.768451294489 less than -3?\nAnswer: -7.768451294489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -544 + 594. Suppose -m*h = -21*h - 261. What is the greatest common divisor of 171 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.4, 4\/3, -108, 0.1?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -226.2111 - -0.0111. Let f = 232 + c. What is f rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-11)\/(-2) + 36\/24. Let l be (((-3115)\/(-20))\/v)\/((-1)\/(-4)). Let h = 101 - l. Solve -h = 4*x - 5*a, -3*x = x + 3*a - 20 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 166921988 and 328?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((l\/l**(3\/5))\/l)\/l)\/((l**(-10)*l)\/l))\/((l\/(l\/((((l\/l**(-9))\/l)\/l)\/l)))\/l**12))**8 assuming l is positive.\nAnswer: l**(536\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.76776726746 take away -1.02?\nAnswer: 7.78776726746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.1, 0.3, 6437, 2.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 4*-6*36\/270*75*(-14)\/(-40)\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 a when three letters picked without replacement from gjggtayjlglgta?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 630.6545 grams in tonnes?\nAnswer: 0.0006306545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -116*l + 18409. What is q(161)?\nAnswer: -267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s = 2*f - 331, 2*s - 50 = -4*f + 92. What is the lowest common multiple of 143 and s?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5733708 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.44771711 to three dps.\nAnswer: -0.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 6, 1\/3, -0.5, 1.1, 28\/3, 0.2?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*d**4 - 30*d**3 - 27*d**2 - 6*d.\nAnswer: -3*d*(d + 1)*(d + 2)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-6) + 34\/(-6). Suppose 2*u + u + 39 = 0. Let n = l - u. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 141*v - 351 - 466 = 734 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 minutes before 3:32 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 3*d + 44 = 11, 0 = 5*f + 3*d + 30. Suppose -38 - 16 = -3*l. Let r = l + f. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -439 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*m + 5*w + 44 = -95*m, -m - w = 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is m in m**2 + 8124*m + 16499844 = 0?\nAnswer: -4062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111001 + -1001?\nAnswer: -1000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 675 is divided by 314.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < -57\/17740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1, -71 in increasing order.\nAnswer: -71, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let 38*k**3\/3 - 464*k**2\/3 + 150*k + 2184 = 0. Calculate k.\nAnswer: -3, 7, 156\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 4*n, 0*r - r + n = -11. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 9.617694 centimeters?\nAnswer: 96176940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -117 + 112. Let t(b) = -b**2 - b + 8. Let v be t(-6). Let o be (3 - 1) + 42\/v. What is the smallest value in -0.2, o, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154454017 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 87 and 7453.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 156*a*l**2 - 12*a*l + 2*a + 18*l**3 + 623032 wrt l.\nAnswer: 312*a*l - 12*a + 54*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1212 times -1\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 61\/5076 and 125\/43146.\nAnswer: 86292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5, 37, 101, 209, 373, 605?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from {w: 4, j: 1, t: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 45928.99 kilometers?\nAnswer: 45928990000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2026, 14864, 48648, 113512, 219590, 377016?\n\"Answer: 1689*h**3 + 339*h**2 - 2*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 565, 1126, 1691, 2260?\n\"Answer: 2*d**2 + 555*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1496 + -542. What are the prime factors of o?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k - 7*c = -3*c - 185, 0 = 3*k + 5*c - 181. Sort 0, -5, k in increasing order.\nAnswer: -5, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*i - 78078 = -22*i - 8*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40683 or 40684?\nAnswer: 40684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8627308 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = 3*m + 21, -2*m + 30 = -4*j + 14 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -39*n + 19. Let u(z) = 248*z - 18. Let m(l) = -103*l + 9. Let w(k) = 5*m(k) + 2*u(k). Determine -6*q(s) + 13*w(s).\nAnswer: -13*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from alsavlpppap. What is prob of picking 1 l and 1 v?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is four fifths of a litre in millilitres?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29, 1183, 4423, 10823, 21457?\nAnswer: 37399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 24180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34 = 2154*j - 2188*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 352 and 416.\nAnswer: 4576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2431 (base 5) to base 13.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 238, -1707, -2\/5 in descending order.\nAnswer: 238, 0.3, -2\/5, -1707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 28335995977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 653804399 to the nearest integer?\nAnswer: 25570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.21 + 304.21. Let n = r + -298.8. Sort -2\/9, 1, 4, n in decreasing order.\nAnswer: 4, 1, n, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/5  (b) 2\/3  (c) -0.71  (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 329354855.\nAnswer: 5, 17, 3874763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5223, 8887, 14993, 23541?\nAnswer: 34531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8013239, -8013237, -8013233, -8013227, -8013219?\n\"Answer: u**2 - u - 8013239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7\/9 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 1714534 (base 8) to base 16\nAnswer: 7995c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = u - 11. Let r(d) = -2*d + 12. Let j(a) = 5*r(a) + 6*w(a). Let f(o) = -8*o - 172. Let y be f(-21). What is j(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s**(1\/5)*s**(-1\/3)*s)\/((s**4\/s)\/((s*s**(-4\/9)\/s)\/s)))\/(((s\/((s*s**(1\/5)\/s*s)\/s)*s)\/s)\/(s**(-4)*s))**(-3\/16) assuming s is positive.\nAnswer: s**(-1343\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-72703)\/96692 - ((-2)\/(-8) + -1). Put w, 4, -1 in descending order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/(w\/w**(-2\/5))))\/w)**(-2\/25)*w**(-2\/25)\/(w\/w**(-2)) assuming w is positive.\nAnswer: w**(-389\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d + 3*d + 468 = 0. Let s = d + 119. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7992347 rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -7*w. Let q(t) = t**2 + 16*t + 9. Let u be q(-13). Let y = 29 + u. Give h(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 11704839 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in -4, 0.8, -1\/3, -2\/3?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -603 + 2391\/4. Find the common denominator of -2 - 168\/(-87) - 21980\/5075 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 82 = 20. Let i(d) = -d - 1. What is the tens digit of i(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 442.84 to 0 dps.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 966*l - 10 - 942*l + 4. What are the prime factors of x(4)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + -3 + 12 + (-5)\/(-5)*-7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes before 9:02 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*0.2778763.\nAnswer: 0.02778763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 4*q + 3*f + 117 = 0, 0 = -4*f + 4. Suppose q = 2*k + 58. Sort -4, -3, 2, k in decreasing order.\nAnswer: 2, k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/(-15))\/(-9 - (-21999)\/2445). Solve -332 = l - g for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) be the third derivative of o**8\/1680 - 2*o**7\/175 + 47*o**6\/600 - 13*o**5\/75 - 2*o**4\/5 + 32*o**3\/15 + o**2 + 7. Factor r(d).\nAnswer: (d - 4)**3*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -17*b - 2. Let o(x) = -x**3 - 6*x**2 - 7*x - 11. Let j(f) = -f**2 + 2*f + 10. Let s be j(5). Let m be o(s). What is the tens digit of a(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 19 + -31 + 0 + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h\/(h**0*h*h)*h*h\/(h*h*h\/(h*h\/(h*(h*h\/h**2*h)\/h)))*h**(-1\/12)\/(h*h*h**(-11)) assuming h is positive.\nAnswer: h**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 562*d*i**2 - 351*i**2 wrt d?\nAnswer: 562*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -55334, -110668, -166002?\nAnswer: -221336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 25c (base 14) in base 2?\nAnswer: 111011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (83\/(-58) - -1) + 13*320\/(-60320)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/10)\/(44 + 19920\/(-450)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 12*x**3 - 3*x**2 + 7*x + 7. Let w(u) = 5*u**3 - 3*u**2 + 2. Let h(d) = 11*d**3 - 7*d**2 - d + 4. Let a(m) = -4*h(m) + 10*w(m). Give -7*a(c) + 4*n(c).\nAnswer: 6*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 12*w**2 + 698*w + 116. What is m(-58)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 1*(1 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 68493, -6, 1 in ascending order.\nAnswer: -6, 1, 68493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 58886780 + -58886778.59999982. Let g = f + -1.4. Round g to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -19347.84 or -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1837562 - 3?\nAnswer: -1837565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*h**3\/7 - 711*h**2 + 19956*h\/7.\nAnswer: -3*h*(h - 4)*(h + 1663)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u + 0*u**2 + 3*u**2 - 7*u + 0*u**2 = 0. Calculate u.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the third derivative of -7*k**6\/30 + 2*k**5\/15 + 14*k**4\/3 - 16*k**3\/3 + 6*k**2 + 189*k + 1. Factor x(q).\nAnswer: -4*(q - 2)*(q + 2)*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/4*2 - -3. Let n be 101\/(-1 + 0) + (3 - 6). Let j = n - -108. Put k, -1, j, 1 in descending order.\nAnswer: j, k, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o = 7*o - 30. Let j(x) = -6*x + 2*x - 4*x**2 + 1 + 3 - o*x**3. Let w(k) = 6*k**3 + 5*k**2 + 5*k - 5. Let r = -37 - -33. Determine r*w(t) - 5*j(t).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h + 1 = -3. Calculate the remainder when -3 - (h + -2 + -68) is divided by ((-138)\/24)\/(2\/(-8)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*n - 22*n + 13*n)*(-1208*n**2 - 1215*n**2 + 2424*n**2 + 9*n**3).\nAnswer: -171*n**4 - 19*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2088*a**2 - 2165*a**2 + 0*a - 2*a + 2*a.\nAnswer: -77*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 92*p - 262*p - 85*p**3 + 92*p + 88*p + p**2. Let i(z) = 2*z**3 - z**2 - z + 1. Let x(n) = f(n) + i(n). Find the second derivative of x(j) wrt j.\nAnswer: -498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4510 (base 7) to base 6\nAnswer: 11304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that -2*s**4 - 56*s**3 - 280*s**2 - 352*s = 0.\nAnswer: -22, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 531, -1 in descending order.\nAnswer: 531, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of (-2976888)\/(-284) - (-6 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 559 minutes before 7:17 PM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q + 14. Determine f(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (46*f**3 - 182 + 182)*(-2*f**2 + 1 + 0*f**2 - 4) + (-4 + 0 + 3)*(-f**4 - f**2 + f**2)*(2*f - 5*f + 6*f).\nAnswer: -89*f**5 - 138*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hnhnhhnnaharha. Give prob of picking 2 h and 1 n.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u\/u**0)**3)**24\/(u*((u*u**4*u)\/u)\/u*u*u**(3\/2)*u*(u*u*(u\/(u\/u**(-2\/7)))\/u)**23) assuming u is positive.\nAnswer: u**(659\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 177812359 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.009, 4\/5, 27, 2\/7, 0.2, -14.2?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - b + 42 = 0, 3*c - 3*b - 14 = 10. Suppose c = 5*k - 5. Suppose -s + 3*l + l = 17, -k*l = -4*s - 3. Solve -v - 6 = -3*v, s*p + 5*v = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**4 + 524*d**3 + 716352*d**2.\nAnswer: -d**2*(d - 1148)*(d + 624)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 110 + 10001?\nAnswer: 10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -4*f. Let o(k) = k**2 - 7*k + 1. Let x(v) = -4*o(v) + 9*u(v). Let x(j) = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 815.807 tonnes?\nAnswer: 815807000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 52 + (-130 - (-39 - 14))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -0.4+-1681.8667\nAnswer: -1682.2667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3201 (base 4) to base 13.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -263.2 + 267.2. What is the nearest to 3 in 2\/15, -4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.18, 726, -0.1, 1?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111309 is divided by 543?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Product of 3 and -453164.\nAnswer: -1359492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*x**2 + 0*x**2 - x**3 - 8*x**2 to the form o*x**3 + i*x**2 + l*x + n and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 11775 and 108330.\nAnswer: 541650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -33457 or -33472?\nAnswer: -33457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 72597504 divided by -512\nAnswer: -141792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1987 is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -35768818 rounded to the nearest ten thousand?\nAnswer: -35770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -231 + 229. Let x = -2.8 - -3. Let k = -0.4 + 0. What is the third smallest value in x, z, k?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 17. Suppose 4*v - 3*y = s*v - 1, -2*v - 3*y = -7. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -1\/16*z**4 + 1\/672*z**8 + 0*z - 1\/60*z**5 + 1\/120*z**6 + 1\/140*z**7 + 0 + 7*z**2 - 1\/12*z**3. Let n(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2486567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1256698 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -539, -540, -547, -566, -603?\n\"Answer: -b**3 + 3*b**2 - 3*b - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.145 minus 30?\nAnswer: -30.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 7\/6 of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hohohohohhhhohhh. What is prob of picking 2 o and 1 h?\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Are 26024 and 26017 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -645379039 and -8254.\nAnswer: -645387293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 411946 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1914.9 + 1914.940515. Let y = t - 0.00045. Let z = y + -0.04. What is z rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10021120 - -1111002002002?\nAnswer: 1110221210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of f**4 + 84467*f**3 + 339805 wrt f?\nAnswer: 4*f**3 + 253401*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*l + 3 = -3*l. Suppose 0 = 4*p + 4 - 24. Let h = p + l. Solve 0 = -8*j + h*j - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-1 - -3) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -707 = 3*a - 2*o, -4*o - 1 = 19. Let v = -238 - a. Calculate the remainder when 7 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1048 + 3943. Is u a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 36*x = 44*x - 25*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 7\/8 smaller than -1\/26148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 100 - 100.12. Let n = -2.08 - -2. Let m = j + n. Which is the third biggest value?  (a) m  (b) -5  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 43.40683ug?\nAnswer: 0.00004340683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 - (1 - -2))*(-1 + -42) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 7:49 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -2*w**3 - 5*w**2 + 1. Give g(-4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, r: 4, s: 7}. What is prob of sequence rrr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1791*a + 1784*a - 8930*a + 1788*a + 1786*a + 1782*a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2\/20 - (-2)\/(-4). Let z = 1011.4 - 1010. Is z less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -519, -747, -1127, -1659, -2343?\nAnswer: -3179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4913.7 + 4913.2. Let f = -5 + 5.03. What is the closest to 1\/4 in 4, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10354543 is divided by 1159?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0351 - 0.0351267. Round w to six decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 2) to base 11.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y**3 + 250*y**2 + y + 1. Determine x(-50).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1586098 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = t**3 - 7*t**2 + 8*t - 6. Let p be 342\/(-15)*(-4 + -1). Suppose 4*m = 10*m - p. Let f = m + -13. Determine w(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, 2, -0.329, 0 in increasing order.\nAnswer: -2, -0.329, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2)\/o**(-2\/3))**22 assuming o is positive.\nAnswer: o**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w - 2*w = -z - 5, -2*w + 2*z + 4 = 0. Let g be w\/(-2) - 14\/(-4). Differentiate -3*k**2 - 1 + k**2 + g wrt k.\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (11 - 9) - (10 - 2).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 555 and 62345.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 + 2. What is the remainder when (5\/2)\/(b\/(-2)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k - 4*s - 2, -4*s = -3*s + 2. Suppose -22 - 40 = -3*q - 2*t, -4*t = -q + 44. Let f be (q\/14)\/(108\/168). Which is greater: f or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from iiiiaiaaai.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n\/(n**(-6)\/n)*n*n\/(n**6\/n*n*n))\/(n*((n*n*n\/(n\/((n**(-3\/13)\/n*n)\/n))*n)\/n*n)\/n)**28)**(-13) assuming n is positive.\nAnswer: n**605","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/((-715)\/(-39))*-5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -8*i**4 + 26 - 107*i**3 + 60*i**3 + 52*i**3 wrt i.\nAnswer: -32*i**3 + 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/(-6) + 319\/(-3). Suppose 0 = -43*l + 36*l + 1463. Let a = l + c. Calculate the remainder when a is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 1, 8, 3\/5, -0.1, 2\/7, 19, -0.7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8745 + 8749. Let j(q) be the second derivative of q + 0*q**3 + 0 - 8*q**2 - 4\/3*q**p. What is the first derivative of j(b) wrt b?\nAnswer: -32*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2965 + 1068 = 271*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -u + 1. Let l be t(-2). Suppose -3*s - 23 = 4*x - 5, -l*x - 17 = 4*s. Let m(p) = -2*p + 1. Give m(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-97)\/(-176) + (-138)\/736\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -382799 divided by 1\nAnswer: -382799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-9*a**3 - 180*a**3 - 31*a**3)*(-21*a + 4 - 3 - a)*(1 - 1 + 4) to the form z*a + h*a**2 + b*a**4 + g + v*a**3 and give v.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b**3 - 9*b**2 - 10*b + 4. Let j be n(10). Suppose 0 = -j*q - 18 + 2. Sort 5, 3, q in descending order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -2, 4, 0.028, -5\/6, 2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2941 divided by 2941.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (4*9\/30)\/((-42)\/(-15))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 346*d**2 + 3*d + 7. Let x be o(-2). Suppose -2675 = -10*h + x. Is h a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = p + 1. Let g(m) = 2*m + 3 + 5*m - 4*m + m. Suppose -4*v - 15 = v. Calculate v*q(b) + g(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjjh when four letters picked without replacement from hjjj?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -142*n. Let u(v) = 2*v**2. Calculate x(u(t)).\nAnswer: -284*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -25 - -18 - (-1 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 75000*k**2 + k - 4. Let h be i(8). Suppose 40 = o - 6*o. Let u be 2\/o + h\/16. What is u rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 649*o**2 + 52*o + 52*o - 102*o.\nAnswer: -649*o**2 + 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0 + 19\/(-3) - (-37)\/111. Let f(g) = -4*g + 6 + g**2 + 11 - 2*g**2. Let y be f(p). Solve 3*k = y*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) be the third derivative of -l**8\/336 - 47*l**7\/210 + 33*l**6\/20 - 151*l**5\/30 + 203*l**4\/24 - 17*l**3\/2 - 27*l**2 + 21*l. Find j such that p(j) = 0.\nAnswer: -51, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 take away 1999760?\nAnswer: -1999759.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes after 2:42 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 3764303 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.3975035 decades to months.\nAnswer: 47.70042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - -3. Let s = -14 + y. Let a = 2.7 + 1.3. What is the closest to s in -5, 2, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 26*q**5 - 90*q**4 + 108*q**3 - 54*q**2 + 10*q - 2. Let j(f) = f**5 - f**4 + f**2 - f + 1. Let y(z) = -2*j(z) - r(z). Let y(g) = 0. Calculate g.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 23a984 - 63?\nAnswer: 23a921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(-22)\/(y**23*y))\/(y**(1\/40)*(y\/(y*y\/y**(-1\/6)))\/y) assuming y is positive.\nAnswer: y**(-5263\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8557 + -8505. Calculate the highest common factor of 5356 and y.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*24\/18*(-21)\/140. Solve 2*j = -8, w*s - 6 = s + j for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o = 7 - 19. Let t be (-25)\/o*612\/(-15). Round t to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 30132, 30230, 30496, 31014, 31868, 33142?\n\"Answer: 14*i**3 + 30118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are -114 and -14 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by 31497?\nAnswer: 1\/10499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 110 + -105. Suppose -2*j = 5*s - 403, -l = -10*s + 11*s. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 189*u - 18*u + 2698 - 7828 for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 1 - (-3 + 10)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1804142 and 10387.\nAnswer: 799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.1418 + -5.1418. Sort 0, 64, b, -2, 5.\nAnswer: b, -2, 0, 5, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0006988 to five dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 3*n = -12. Suppose 2*s + n = 4*s. Solve -10 = -o + s*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 8.910227345 to 1 dp.\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 182 - 166. What is the greatest common divisor of p and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 75397014 a multiple of 3924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (-3 - (20 + -14) - -8) + (-8 - -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1 + -12305?\nAnswer: -12306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 112775, 451035, 1014795, 1804055?\n\"Answer: 112750*p**2 + 10*p + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 15 - 5*(-3 + 2). Let w = 145 - d. Let i = w + 53. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*u + 4, -42 - 123 = -4*g + 3*u. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -5760*g. Let q(t) = -114*t. Calculate q(s(w)).\nAnswer: 656640*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(1*(sqrt(4)\/sqrt(2))**2 + 0) + 5)*3 + -3 + 4 + 3.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = -8*u + 2. Let i(r) = 9*r - 1. Let d(h) = -3*f(h) - 2*i(h). Calculate d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - u - 1. Let v be z(3). Suppose -s - 3*x + 5 = -x, 0 = 2*s + v*x - 13. Let c = 8 + -11. Do s and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.213701 rounded to 2 dps?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*d**4 - 2*d + 2*d)*(3 - 4 + 3)*(-52*d + 132*d + 94*d + 84*d).\nAnswer: -2580*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -99 + 98.9. Which is the closest to p?  (a) 0.04  (b) 2\/25  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4530209, 9060404, 13590597, 18120788, 22650977?\n\"Answer: -q**2 + 4530198*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 425\/4 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = -6*a + 315. List the prime factors of a.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) be the third derivative of 1\/8*p**4 + 1\/20*p**5 + 0*p + 0 + 0*p**3 - p**2. Factor g(q).\nAnswer: 3*q*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -2\/3  (b) -217831  (c) 52  (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(-4)\/(-16))\/1*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -h**2 + 2*h + 5. What is y(-7)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 3 - l + (2 - 5 + 2)*(2*l - 2*l + 2*l) + 2*l - 3*l + 3*l)*(9*l**3 - 2*l**3 - 3*l**3) to the form r + t*l**4 + j*l + d*l**3 + k*l**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10283798*k**2*z - k*z - 1366*k wrt k?\nAnswer: 20567596*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-16)\/12 - 4\/(-3). Let n(j) be the third derivative of 0*j**5 - 1\/6*j**3 + y*j**6 + 0*j - 1\/210*j**7 + 0 - j**2 + 0*j**4. Differentiate n(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29119 - 118669 = -1990*v for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5654742 divided by -49603.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -6*t - 12 - t**3 - 9*t**2 + 0*t - 3*t - t. What is the units digit of s(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -63*k + 248379 = -32223. Is k a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (2*(sqrt(36) + (sqrt(324)*-2)\/sqrt(9)))\/(3*(-2*sqrt(972) - sqrt(972))) + 5.\nAnswer: 2*sqrt(3)\/81 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5 - 29. Let c be ((-6)\/(-28))\/((-9)\/x). What is the second smallest value in c, 5, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1235272675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 13647?\nAnswer: 3, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -5*j**2 + 4*j - 3. Let y(i) = -5*i**2 + 3*i - 2. Calculate -3*x(o) + 4*y(o).\nAnswer: -5*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(2156))\/(1*sqrt(100)).\nAnswer: -7*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -i + v = 23, 3*i - 2*i + 19 = -v. Find the common denominator of ((-62)\/(-12))\/(33\/(-6)) and (-326)\/12 + i + 24.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from qqqqaaaqqqqqqq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17 - 65*c**2 - 86*c**2 + 17.\nAnswer: -151*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1 - -3. Suppose 4*m - 4*f = -12, j*m - 5*f + 15 + 6 = 0. Suppose -4*t**2 + 4*t**3 - 4*t**2 + 0*t**2 + 2*t**2 + m*t = 0. Calculate t.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -1033616 - 2?\nAnswer: -1033621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 minutes after 1:43 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -201101212 (base 3) in base 16?\nAnswer: -3740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 2\/125 of a tonne?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 24 = 5*l. Suppose -25 = -a + 5*r, 2*a + r - 23 = -l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 1 - 16 = -3*m, -16 = -5*m - 2*k. Let x = 3\/64 - -45\/64. Which is bigger: m or x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*j + 2. Let n = 18 - 8. Suppose 0 = -9*d - 1 + n. Sort d, j, 11, 0 in ascending order.\nAnswer: j, 0, d, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.0971 and 6232 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 - 3*i**2 - i - 4. Let x be v(-3). Let s = 1002 + -980. Calculate the remainder when (x - -4)\/3 - -108 is divided by s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 34419 = -l, 0 = g + 19 - 23. What are the prime factors of l?\nAnswer: 173, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 33*h - 26*h - 3*h**2 + 24 + 2*h**2 - 8. Let s be m(12). Let i = s + 44. Solve g - 1 + i = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -u**3 + 3*u - 3*u + (0*u**3 + 0*u**3 - 2*u**3)*(0 - 5 + 2) + 6*u**3 + 16 - 16 + u**2 + u**3 - u**2.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02088 to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -1279400 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 850 - -12. Let b be x\/10 - (-9)\/(-45). Suppose b = 5*h + 2*w - 198, -3*w = -6. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 737\/44 + -17 - (-50)\/8. Solve 6*n - 12 = u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 19744 and 71572.\nAnswer: 572576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7\/21*(-84)\/(-1365)*75\/5.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 46600?  (a) -4  (b) 28  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2642200931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -2a + -c8b02c?\nAnswer: -c8b059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/14*3\/(-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*i**2 + 8*i*m - 2*m - 32 with respect to i.\nAnswer: 24*i + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 92 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -270347.1169 rounded to the nearest 100?\nAnswer: -270300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*s - 8, z + 3*z + s = 28. Which is the closest to 0.1?  (a) 2\/3  (b) 3\/5  (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 621.4086kg?\nAnswer: 621408600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1897862760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.048199 and -0.0107.\nAnswer: 0.037499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*h - 8 + 18. Suppose 2*z + 7*s = 4*s - 1, 2*s = h*z - 45. Differentiate -10*p**3 + 3 + 2*p**3 + p**3 + z wrt p.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33649879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 15*q**3 - 3*q**2 + q - 2. Let p = 82 + -76. Calculate the remainder when g(2) is divided by (22\/p)\/(-4 - (-52)\/12).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/9 + (-144)\/(-81). Let j(c) be the first derivative of 0*c**4 - 5 + 0*c + 0*c**y + 3\/5*c**5 - 4\/3*c**3. Find the third derivative of j(v) wrt v.\nAnswer: 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = -i**2 - 70*i - 748. Is 18 a factor of p(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16c86 (base 14) in base 3?\nAnswer: 2220200002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 14, u: 1}. Give prob of picking 2 a.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 321 = 3*s - 477. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.647574 from -2.930401.\nAnswer: -2.282827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2706780309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 70*a - 7124. Calculate the remainder when u(108) is divided by 207.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93414.\nAnswer: 2, 3, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -12*n**4 - 9*n**3 + 21*n - 9. Let w(y) = 3*y**4 + 2*y**3 - 5*y + 2. Let v(j) = 2*l(j) + 9*w(j). Find the second derivative of v(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*(q*q**(3\/8))\/q*q*q\/(((q*q*q\/(q\/(q\/q**0)*q))\/q)\/q))\/(q**(2\/7)\/q**7) assuming q is positive.\nAnswer: q**(565\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 187900 to the power of 1\/2, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 17247*m - 69007. Determine n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1105724 divided by 87.\nAnswer: 1105724\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 10*f**2 + 10*f + 15. Let k be a(11). Suppose -5*v = 19 - k. Let z be v\/2*(-170)\/51. Solve m = -z*b - 0*m + 23, 3*b - m = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 54\/(-21)*(1 + 1955\/(-51)). What is the highest common factor of z and 248?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 + 65?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.9 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -10 in -2\/3, 0.4, -6\/7, -1191, -0.3?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/3*-4*(-7)\/(-56)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*q**3 + 2*q**2 - 2*q**2 + (-344 + 11*q + 344)*(-4*q + q + 5*q)*(2 - 2*q - 2) to i*q + p*q**2 + x + f*q**3 and give f.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) be the first derivative of -71*x**4 - 305*x**3\/3 - 82. Find the third derivative of c(v) wrt v.\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = -v**3 + 8*v**2 - v - 15. Let x be m(7). Let l(n) = 20*n + 4. Let j be l(7). Calculate the highest common factor of j and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652521 minus -307?\nAnswer: 652828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 4 + -4 + 11\/(-7).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -u**6\/120 - u**5\/30 + u**4\/12 + u**3 - 3*u**2. Does 7 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 96, 303, 884, 2025, 3912, 6731?\n\"Answer: 31*o**3 + o**2 - 13*o + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -3198.434 to the nearest ten.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 - 107*a - 1008. Determine i(-9).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = -5*s, 11 = -2*q + 2*s - 31. Let w(f) = -2*f. Let t be w(1). Let g be (t\/(-5))\/(4\/q). Put 2, g, -4 in decreasing order.\nAnswer: 2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) be the second derivative of -l**3\/6 + l - 56. Let c(w) be the second derivative of -5*w**4\/3 - 3*w. Calculate c(h(t)).\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32980850 and 1225.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -2180, -4361, -6542?\n\"Answer: -2181*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (60\/(-66))\/((-28)\/154).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -26*x + 4 - 4 - 3.\nAnswer: -26*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*k + 4*s - 8 = 16, 5*s - 21 = -3*k. Let g be 22\/k - 1\/(-6). Suppose 3*u**5 - 3*u**2 + 0*u**g - 3*u**2 + 6*u**4 - 3*u**3 = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*h**3*i**2 + 3*h**3*i - h**2*i**3 + h**2 + 35133716*i**2 + 13316063*i wrt i.\nAnswer: 8*h**3 - 6*h**2*i + 70267432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 45 and 1179936.\nAnswer: 5899680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 - 27*i - 2*i**2 + 10*i + 50*i + 41*i.\nAnswer: -2*i**2 + 74*i - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4 - 9*k**3 + 33*k**3 + 4.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 9 - 1 = 0. Suppose -2*d + b = -d. Solve 2*f = 5*s + 9, 0 = -2*f + 5*f - d*s + 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + a - 4 + 4 + 2. Does 5 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1 - (-3 - 14 - -2). Let w be 2\/((a\/86)\/(-4)). Let c = 61 + w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 282553833?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**3 + 8*s**2 + 5*s - 12. Suppose -4*j + 21 = -7*j. Let f be d(j). What is the third derivative of 37*i**5 + 0*i**f + 9*i**5 + 9*i**2 - 3*i**5 wrt i?\nAnswer: 2580*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 740732272 a multiple of 244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -9307  (b) 3  (c) -306  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) be the first derivative of 1\/12*u**4 - 5 + 0*u - 11\/3*u**3 + 0*u**2 + 1\/40*u**5. Let o(z) be the third derivative of q(z). Calculate o(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x + 5. Let m be y(-6). Let r be m\/4 - (-45)\/4. Solve -f = 4*d + 5, -3*d = 4*f + r - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 9*x**3 + 6*x**2 - x - 5. Let r(t) = 8*t**3 + 5*t**2 - 4. Let k(o) = -3*j(o) + 4*r(o). Let a be k(-2). Let n = -38 - a. Is -1\/58 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**1*h*h**(-11))\/((h\/(h**13*h))\/(h\/h**(-12))) assuming h is positive.\nAnswer: h**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 24623896039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 597522 and 6.\nAnswer: 597522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-5\/2))**(3\/10))**(-7) assuming s is positive.\nAnswer: s**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20 = -5*b - 2*o, -9 = -2*b - 1842*o + 1841*o. Let p(x) = -2*x**2 + 3*x - 2. Calculate p(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2085\/(-29190))\/((-3)\/1470)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-3663836)\/48)\/11 - 0. Let g = -6949 - l. Calculate the common denominator of g and 47\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -64*c - 64*c - 8*z = -125*c + 425, 4*z + 193 = 5*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(147) + 5 - ((sqrt(147)*1 + 0 + sqrt(147))**2 - sqrt(147)).\nAnswer: -583 + 21*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -95593570731 plus -0.26?\nAnswer: -95593570731.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161, 265, 367, 461, 541, 601, 635, 637?\nAnswer: 601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k**5 + 339*k**4 + 21287*k**3 - 1276695*k**2 + 11002068*k = 0. Calculate k.\nAnswer: -189, 0, 11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -18 - -17.97. Let i = 0.025 + s. Let v = i + 0.015. Which is the third biggest value?  (a) -0.1  (b) 1\/5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + a - 2 = 0, 4*j + 5*a - 7 = -0*j. Suppose 0 = 2*k + d - 11 + 3, -3*k = j*d - 9. Let m(u) = -2 + 0 - 2*u + 2. Give m(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -285 times 397?\nAnswer: -113145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -411 + 10002071?\nAnswer: 10001460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/8160 and -113\/850.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -2. Let j = -9.5 - -4.5. Let k = j - a. Sort 3, 0.1, k in descending order.\nAnswer: 3, k, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38975557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 12.5 + -12. Sort -0.02, n, 1 in ascending order.\nAnswer: -0.02, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 519690 and 578?\nAnswer: 8834730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -b. Let v be h(-2). Suppose 0 = v*s - 6 - 4. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22414*p - 39 = -22401*p. Which is the closest to 171\/7?  (a) p  (b) 0.4  (c) 2.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*r**2 - 418172 + 1195*r + 418172 as t*r + a*r**2 + k and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*g + 7 - 27 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 129*l**4 - 1800*l**3 - 84*l**2 = 0 for l.\nAnswer: -2\/43, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1)\/t)**(-26)\/(t*t**(-7))**25 assuming t is positive.\nAnswer: t**202","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -10*o**2 - 11*o + 15. Let l(h) = 2*h**2. Let s(t) = -4*l(t) - z(t). What is the smallest common multiple of 185 and s(-8)?\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -7*k**2 - 284*k**2 - 128*k**2 - 47*k**2 to the form s*k + p*k**2 + l and give p.\nAnswer: -466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*v - 2*y = 4, 59*v = 54*v - y - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.11  (b) -157  (c) 0  (d) -88\/3  (e) -1  (f) -7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 502 minutes after 2:26 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2 + -3. What is the biggest value in l, 3, -1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 32 - 58. Suppose 86 = -3*n + n + 2*f, n = -4*f - 63. Let q = i - n. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 90983.72 to the nearest one thousand.\nAnswer: 91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32 + 109 = 128*d + 13 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -19*h - 16*h - 8 - h**2 + 27*h. Determine a(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120 (base 4) to base 14.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 644515916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 470542900 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 56  (b) 5\/7  (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 25*s**5\/4 + 1935*s**4\/4 - 14927*s**3\/2 + 49651*s**2\/2 + 43365*s\/4 + 4459\/4 = 0. Calculate s.\nAnswer: -91, -1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 + r**3 - 1)*(3 - 5 + 3)*(-6*r + 5*r - 3*r) - 3*r**4 + 2*r**4 - r**4 to v*r**3 + q*r + n*r**2 + w*r**4 + u and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that 2*b**5\/13 - 21040*b**4\/13 + 168230*b**3\/13 - 399480*b**2\/13 + 252288*b\/13 = 0.\nAnswer: 0, 1, 3, 4, 10512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u and 2 l when three letters picked without replacement from lulw.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1437679471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(208) - -3*sqrt(208))*2 + (sqrt(65)*1)\/sqrt(5) + 2 + 5 + 1)**2.\nAnswer: 528*sqrt(13) + 14221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4 + 2 - -5) + 6136 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 710 is divided by 388?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -6*n - 2*n**3 - 3*n**2 + 4*n - n - n**2 + 3. Let d = 9 + -6. Let r(k) = 7 - 5*k - 2*k**2 - 2 - 3*k**3 - 5*k**2. Determine d*r(l) - 5*v(l).\nAnswer: l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 5*l + 86, -15*f + 14*f = 4*l - 11. Which is bigger: 20 or f?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.918 - -1.718. Let u = 34 + -73\/2. What is the nearest to o in 20, 1\/2, u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 16, i: 4}. What is prob of picking 4 x?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -8690, 0.24 in descending order.\nAnswer: 0.24, -3, -8690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (12 - 7 - 2) + -4. Let g(n) be the first derivative of -n**2\/2 + n + 10. Let j(b) = 2. Give p*j(s) + 3*g(s).\nAnswer: -3*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2626109, 5252220, 7878331, 10504442, 13130553, 15756664?\nAnswer: 18382775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p + 5 = 2*x, 5*p - 28 + 3 = 0. Let a be (-6 - -5)*x\/(-2). Suppose a = -0*c + 4*c - 44. Calculate the least common multiple of c and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2 + 2250648*p + 9002656.\nAnswer: -4*(p - 562666)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence obbh when four letters picked without replacement from {o: 4, h: 2, j: 4, l: 1, b: 3}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2\/5  (b) 10017  (c) -1\/3  (d) 2  (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 40, 2, -112, 3, -3, 10, 4 in descending order.\nAnswer: 40, 10, 4, 3, 2, -3, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -0.1, 0.4, 4, -119 in decreasing order.\nAnswer: 5, 4, 0.4, -0.1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 31.2809 times -0.259\nAnswer: -8.1017531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 3*n + 2. Suppose -4*r + 82 = -2*c, -2*c + 3*r + 0*r - 78 = 0. Let f = c + 28. Let l(x) = -7*x - 5. Determine f*z(k) - 2*l(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((j\/j**(-2\/9))\/j)\/j**7)**50*(j**(1\/2)\/(j\/(j\/(j**(-3\/8)\/j*j))*j))\/(j**(-2\/3)*(j\/(j*j*j\/(j*j\/j**(-6\/7))*j*j))\/j) assuming j is positive.\nAnswer: j**(-169447\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 621, 2, -8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 499*r - 172*r - 7532772 = 0. What is the thousands digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*(q**7*q)\/q)\/q)\/(q\/(q*q\/q**(1\/14))) assuming q is positive.\nAnswer: q**(111\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = -p**3 - 63*p**2 - 248*p - 683. Give c(-59).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3384253 is divided by 3383875.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1 - 134\/46 - (2 - 4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.5461567 take away -1.144?\nAnswer: -3.4021567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 595692 greater than 5361215\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1878*a + 933*a = -13*j - 940*a - 97, j + 5*a = 111 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-12)\/(-18)*(-2)\/((-2)\/3). Let u be (-6)\/(-10)*(-5)\/(-1). Suppose -p*a + 2*z = -u*a + 109, 5*a - 489 = 4*z. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tctcctc. Give prob of sequence tctt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -751, -1608, -2503, -3454, -4479, -5596, -6823, -8178?\nAnswer: -9679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -139*v - 29 = -140*v. What is the remainder when 111 is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 16*s**2 - 69*s + 22. Let z be o(4). Let a = -9 - -11. Solve -z*u - 2 = 2*p - 0*u, a*p - 26 = 5*u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 65106570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1412755.\nAnswer: 5, 59, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from zewewgzhwgzwznnnwewz?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - s = 244, -2*s + 240 = 3*j + s. Calculate the remainder when j is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 24 + 9. Let t be 6\/o - (-168)\/44. What is the derivative of 2 + 9*k**2 - t*k**2 + 1 wrt k?\nAnswer: 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mw when two letters picked without replacement from {m: 7, w: 3}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 1, s: 1, v: 1, h: 2, i: 1, b: 1}. What is prob of picking 1 h and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 99 - -1?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -bd + -5?\nAnswer: -c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/5  (b) -214  (c) 6  (d) 0.3  (e) 8  (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27137676?\nAnswer: 2, 3, 2261473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -23 - -32353411?\nAnswer: 32353344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 17\/2 of a day?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10.8 * -358.69.\nAnswer: 3873.852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 152 is divided by 57.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 4*q**2 - 3. Let w(x) = 115*x + 0*x**2 - 115*x + x**2 - 1. Give 2*v(g) - 9*w(g).\nAnswer: -g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 410270 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:40 PM and 2:19 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -882294 + 1794586049\/2034. What is the common denominator of p and -21\/1243?\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 5*n - 3, 3*l + 6*n = 7*n + 9. Let g = -20 - -36. Solve 0 = k + l*k + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 164 = 158. Let w = l - 20. What are the prime factors of w?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2)*(-4*w + 4*w + 7*w)*(-3*w**3 + 2*w**3 + 0*w**3).\nAnswer: 14*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*w - 5. Suppose w = i - 3. Solve i*y - 3 = -23 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.5 + -3.2. Let c = 397\/5 - 79. What is the closest to c in z, -2, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 9:07 AM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 40 and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + 15. What is the lowest common multiple of ((-264)\/(-154))\/(2\/14) and y?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 14690 and 184190?\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -3*l - 1, t + 8*l - 13 = 3*l. Let p be t\/5 + 28\/(-5). Let n(c) = -2*c - 7. Let x(k) = 0*k - 2*k + 0 + 4 + 3*k. Give p*n(y) - 11*x(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*b**4 + 8*b**3 - 8*b**4 + 6*b**4 + 33*b - 4*b**3 - b to the form u*b + k + c*b**4 + j*b**2 + w*b**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 264 and 297.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9, -29, -57, -93, -137?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 571907625.\nAnswer: 3, 5, 17, 283, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -21*m + 23. Let q be o(-10). Let t = -1161\/5 + q. Let -14\/5*y**3 + 0 + 18\/5*y**5 + 22\/5*y**4 - t*y - 22\/5*y**2 = 0. What is y?\nAnswer: -1, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b + b + 4*p - 21, p + 3 = 2*b. Suppose s + 2*s + b*f - 9 = 0, 0 = -3*s + 5*f + 9. Solve -3 = -s*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fffvvvffvffvv. Give prob of sequence vff.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 242.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l**2 + 8*l - 14. Let r be c(-10). Suppose -2*g = -r - 30. What is the remainder when 34 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - (2 - 1)) + 20 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l**2 - 9*l - 63. Calculate y(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -3*q - g, 38*q + 16 = 39*q - 3*g. Calculate the remainder when 76 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y\/(y*y**(-30)))**(2\/15)*(y**30)**17 assuming y is positive.\nAnswer: y**514","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 14 - 13. Let p(d) = -4*d**2 - 3*d + 6. Let z(f) = -f**2 - f + 1. Let i(a) = l*p(a) - 3*z(a). Let m(v) = 4 - 2*v**2 + 5 - 2. What is -7*i(u) + 3*m(u)?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1.54069 and 38666250.\nAnswer: 38666251.54069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n - 3*a + 22 = 0, 2*n + 5*a - 11 = -n. Let v = 7 - 2. Suppose -150*x + 4 = -151*x. Sort v, n, x in descending order.\nAnswer: n, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 100001010101 + -1001?\nAnswer: 100001001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/14826 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15705 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/3, 1\/6, 3, 0, 0.4, 528.\nAnswer: 0, 1\/6, 0.4, 4\/3, 3, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -3*q + 3. Suppose -15*a = 28*a - 14*a + 174. Let x(b) = 3*b - 3. What is a*x(s) - 5*i(s)?\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from eeeeeeeeweeeeeeeewee.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -41144 (base 5) to base 13.\nAnswer: -12a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 1\/8, -0.04, -166.1 in increasing order.\nAnswer: -166.1, -5, -0.04, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-20)\/8)\/((-140)\/448).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11687*n + 1519 - 5842*n - 5843*n to the form s + r*n and give s.\nAnswer: 1519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-7)\/(2\/((-42)\/3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j**3 + j**2 - 3*j - 120. Give i(0).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 546 minutes after 7:12 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 24502 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z**2 + 15*z**2 - 14134 - 14134 + 28269.\nAnswer: 8*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = 2*p**2 + p - 7. Let c = 5895 - 5902. Let q(t) = t**2 + t - 5. Determine c*q(r) + 5*y(r).\nAnswer: 3*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is (567\/18)\/(3\/(-2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes after 10:26 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of z**4 + 11412*z**3 - 2*z**2 - 15*z + 123 wrt z.\nAnswer: 24*z + 68472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*2*-1*sqrt(896))\/(((sqrt(63) + sqrt(252) + sqrt(63))*1)\/(sqrt(9) - (sqrt(1296) + sqrt(1296) + 2*sqrt(1296)))).\nAnswer: 940*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:58 PM and 11:36 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m**(10\/9)\/(m\/(m**10\/m)))**13)**(-1\/8) assuming m is positive.\nAnswer: m**(-533\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o\/((o*o**(-7))\/o*o))**(1\/34)*o**(-2\/7)*o**(2\/7) assuming o is positive.\nAnswer: o**(7\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -33 and 2778.2.\nAnswer: -91680.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1.7 - 2. Which is the biggest value?  (a) 1  (b) -5\/4  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 6*n**3 + 490*n**2 + 308*n - 1321. What is k(-81)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 672 - 450. Let w = -30604 + 30606. What is the least common multiple of w and i?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 273 = 7*k - 3*k + g, 0 = 5*k + 4*g - 355. Let w be (-1)\/(-2)*2 + 123. Suppose -w = -z + k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3360451 is divided by 1456.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6 - 6 - y + (1 - 2 - 3)*(27*y + 8492 - 8492).\nAnswer: -109*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.73 - -30.73. Let h = -30 + r. Which is smaller: -2\/3 or h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 106*n - 633. Let g be b(6). Factor 3\/4*x**2 + 0 - 3\/2*x + 3\/4*x**g.\nAnswer: 3*x*(x - 1)*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 0 + 223*y + 0 - 35*y in the form q*y + d and give q.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-1 + (-3 - -3) - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15 - 2. Let q = u + -11. Let m be 18\/(-5) - 4\/10. What is the second smallest value in q, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 7712011 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g*g**(-4)\/g))**17\/((g*g**9*g*g)\/g*g**(-13)) assuming g is positive.\nAnswer: g**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of 2*y**2 - 8. Let t(g) = -60*g + 35. Let d(v) = -5*v + 3. Let h(x) = 35*d(x) - 3*t(x). Give h(s(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 33 + 14)*(-5 + 4 - 4)*((-2*f + 3*f - 3*f)*(-2 + 1 + 3) + 6*f - 2*f + 3*f + (0 + 2*f + 0)*(-1 - 1 + 4) - 1 - f + 1).\nAnswer: -1530*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-11 - -2) + (83 - 79)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bb when two letters picked without replacement from {b: 3, d: 3, i: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 17 = -z. Let a be z\/(-5) - 2\/5. What is the second derivative of -2*r**3 + 4*r**3 - 2*r**3 - r**4 + a*r wrt r?\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*i - 27 = -c - 157, -9*i - 225 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) be the first derivative of -2*y**3\/3 + 3*y**2\/2 - 3*y + 247. Let u(b) = -b**3 - 6*b**2 - 3*b - 15. Let f be u(-6). Determine d(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-32)\/(-592) - (-594)\/(-37)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*c**4 + 0*c + 0*c + (-2*c**3 + 2*c**3 - c**3)*(c + 4 - 4) - 2*c**4 - 2*c**4 + 3*c**4 - 3*c**4 + 50*c**2 - 23*c**2 - 24*c**2.\nAnswer: -8*c**4 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 57 + 13. Let f = -106\/3 + h. Which is smaller: f or -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/(-3) - 949\/(-1095).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -32*p + 3*p**4 + 6 + 40*p**5 + 41*p - 3 wrt p.\nAnswer: 800*p**3 + 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + (-5 - (-3 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-410)\/(-4)*(41150\/125 + -26)?\nAnswer: 2, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 7*a. Let s(o) be the third derivative of o**7\/1680 - 3*o**5\/4 + 35*o**2. Let c(l) be the third derivative of s(l). Calculate c(p(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 848 - 2747 - 1971 = 215*q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 147183 (base 10) to base 11\nAnswer: a0643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 p and 1 d when four letters picked without replacement from dpdp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7962.111 millennia to centuries.\nAnswer: 79621.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.196181 and 1.5.\nAnswer: 0.2942715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 79 + -46. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = -i + 2*c - 0*c, 15 = -3*i - 3*c. Let m be (-1)\/(-2)*(-4)\/i. Which is greater: 9 or m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in seventy-two fifths of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 33187100 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*s + 9 = 179. Solve s*v = 7*v - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -64066517.7 to the nearest one hundred thousand.\nAnswer: -64100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 20643 or 113?\nAnswer: 20643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 0, 14 in decreasing order.\nAnswer: 14, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1051 - 309 + 270)*(-3 - 3 + 0)*(-4*s**2 + s**2 + 2*s**2).\nAnswer: -6540*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/11, -4\/5, 9.553, 1\/5, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.5 plus -37586?\nAnswer: -37586.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 2) + (89 - (73 - 0))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/1*(-63)\/(3024\/(-384)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -21 (base 4) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -z - 989, -4876 = 5*z - 2*p + 105. Let f = z - -1920. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 449, 1168, -7.\nAnswer: -7, 1, 449, 1168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-36 - 19) + 25 - (37 - 1)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -4*t + 12. Let m(r) = r**2 + 22429*r. Calculate m(o(d)).\nAnswer: 16*d**2 - 89812*d + 269292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(sqrt(320) + 1)**2.\nAnswer: -1284 - 64*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.3  (b) -17.3  (c) -92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -7 divided by -7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 100\/120*(-432)\/180\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45\/(-72)*2\/(-5).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -1.1 times 7627\nAnswer: -8389.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-9)\/((-360)\/32))\/(-3*(-8)\/(-60)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161335, 322664, 483993, 645322, 806651?\nAnswer: 967980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12220 - 11965. Calculate the greatest common factor of g and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - b56310?\nAnswer: -b5630b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 5225*u = -5223*u - 60, 5*v + 4*u = 125 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ww when two letters picked without replacement from sswpbbwbswpbpwbpwwap?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1029 + -1028.58. Let k = 5196 - 5196.42168. Let m = s + k. Round m to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -64988 divided by 4.\nAnswer: -16247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/4*(3 - (-106)\/(-30)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d = -5*d + 3. Suppose -2*q + 4 + 0 = 0. Suppose -q*a + 4*a = 0. Solve 3*f + 4 - d = a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2969, 5936, 8903, 11870, 14837, 17804?\n\"Answer: 2967*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -i + 2. Let f be 1 - 2 - i - -1. Suppose -l = -4*n - 7900020, 3*n = f*n + 10. Round l to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.1 smaller than 297?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 116324697 + 3362178480 = 147*l - 5194496823. What is l rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -25*r**2 + 3188*r + 90. What is y(127)?\nAnswer: 1741","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 24309180 and 1543440?\nAnswer: 97236720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g + 3. Let x(y) = -2*y + 12. Let k be x(-9). Suppose 5*u + k = 3*t, -6*t + 3*t = 2*u - 9. What is v(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64*h = -69*h + 1980. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 102 = 4*u + u - 4*h, 0 = 4*h + 12. Suppose -u = l - 7*l. Solve 8 = -5*o - 2*w, -l*o = -4*o + 4*w - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11287883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*s - 9*u = -151, -190*s - 10 = -185*s - 2*u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*m - 229*m**2 - 12*m - 67*m**2 + 2*m + 3*m to v + k*m**2 + c*m and give k.\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 28178*r - 253608. What is y(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 + 11121?\nAnswer: 11120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/10 + 196\/35. Suppose m*g = 3*g + 117. Let c = g + -28. Calculate the remainder when 43 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -x**2 + 8*x. Let d be n(7). Let v = d - 7. What is the nearest to -2\/5 in -0.4, v, -2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-29 + 17)*305\/(-45). Which is smaller: 80 or l?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*3*(-4)\/(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 286973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find b, given that 3*b**5 + 189*b**4\/4 + 222*b**3 + 555*b**2\/2 + 63*b - 147\/4 = 0.\nAnswer: -7, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 48455064, 96910129, 145365194, 193820259, 242275324?\n\"Answer: 48455065*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 27 - 28. Let v be -1*(1 + -3 - d). Which is smaller: 4\/25 or v?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p + 11 = 51. Let u = 2 + p. Put -1, u, 2 in descending order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 p, and 1 h when four letters picked without replacement from phhophhppoo?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 = d + 4 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express (4*s**2 - 4*s**2 - 13*s**2)*(s**2 - 6 + 2 - 1) as u*s**4 + z*s**2 + o*s**3 + r + p*s and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -75, -95, -143, -231, -371, -575?\n\"Answer: -2*j**3 - 2*j**2 - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1642892, 3285758, 4928592, 6571394, 8214164?\n\"Answer: -16*q**2 + 1642914*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 + 4*t**2 + t - 3. Let n be j(-3). Suppose n*s - 38 - 1228 = -5*z, -3*s = 3*z - 756. List the prime factors of z.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -42 divided by 1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/5 + 48*t**2\/5 - 576*t\/5.\nAnswer: -t*(t - 24)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -69*k**2 - 100 - 86 + 67*k**2 + 2*k**3 to c + p*k**2 + u*k**3 + h*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-12*(-41)\/(-5904))\/(-1)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 31 + -35. Let b = -5 + 0. Let v = 0.2 - 0. Put b, v, y in increasing order.\nAnswer: b, y, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 + -142 - 1255570\/(-22425)\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*o + 8*x - 3*x - 146 = 0, 0*o - 2*o - 23 = 33*x - 32*x for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5559 is divided by 417.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 112100220220 (base 4) to base 14\nAnswer: abc7d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 358.8 and -13.\nAnswer: -4664.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 60\/(-160) - (-195)\/(-344) and -1\/6.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 50530325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 46 - 5. Let w = d - 39. Suppose s + 2*t - 10 - 8 = 0, w*s = 4*t + 68. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -133600*x**4 + 245022 wrt x?\nAnswer: -534400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5387.4 + -5387. Let s be (-2 + -5)*(-2)\/7. Let v be s - 3 - (-3)\/6. What is the closest to v in 3, -5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f = 2*q + 76, f + 134 = -3*q - 3*f. Let k = -17 - q. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*l - 2, 2*b - 5*l = -13. Let n(g) be the third derivative of -g**6\/120 + g**5\/12 + g**4\/12 - g**3\/3 + 2*g**2. List the prime factors of n(b).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -2 + 1421811?\nAnswer: 142180b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Add 45 and -594171967.\nAnswer: -594171922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 60 and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 20 = -3*o. Is 4\/o - (-15057)\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 2, m: 10, e: 1, f: 1}. Give prob of sequence efm.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2322 or 6970\/3?\nAnswer: 6970\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*a + 0*a + 2*a)*((-1 + 1 + 4)*(4 - 3 - 24) + 2 + 4 - 4) to j*a + f and give j.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3781, -15020, -33733, -59920, -93581?\n\"Answer: -3737*a**2 - 28*a - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 32 = -4*l, 488*l + 16 = 483*l + p. What is the nearest to 0.2 in -53\/3, -1\/10, l?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 13dca (base 14) to base 4\nAnswer: 30003132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -8 - 3836b?\nAnswer: -38374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 1945.9459 rounded to the nearest ten?\nAnswer: 1950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 185159 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine j so that -1013*j**3\/4 + 7*j**2\/4 + 25325*j\/4 - 175\/4 = 0.\nAnswer: -5, 7\/1013, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -22993*l + 69032. Determine b(3).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12180541?\nAnswer: 61, 233, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1226740270?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0 - (-3 + 1 - -3). Suppose -7*g + 32 = -5*g. Let r(d) = 5*d + d + 7*d - 1 - g*d. Calculate r(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 11906 + -11906.09784. Round d to three decimal places.\nAnswer: -0.098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 154940*i**3*y + 231*i**2*y + 105133*i*y + 478*i wrt i.\nAnswer: 929640*i*y + 462*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -28 + 50. Calculate the greatest common divisor of t and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5.1 + 1.1. Let x be -3 + 3\/(-18)*-8. Which is the nearest to 0.1?  (a) x  (b) 0.1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= -5\/1243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1*(4 + -3 + 0). Let f = 7 + a. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -2 by 5048646.\nAnswer: -1\/2524323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 4*b**3 - 56*b**2 - 3*b + 13. What is h(14)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 21\/6 + (-5)\/10. What is the first derivative of 30 - 3*y**3 - 5*y**x + 5*y**3 wrt y?\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 24 = 5*i. Let p be i\/(-12)*0\/2. Let j(w) = w**2 + 4*w - 5. Let z be j(-5). Solve p = 5*c - 15 - z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*y + 3255 - 3255.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the first derivative of 44*d**6 + 4*d**5\/5 + d**4\/2 + 63*d**3 - d**2\/2 - 3*d + 6307. Find the third derivative of b(j) wrt j.\nAnswer: 15840*j**2 + 96*j + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 617 minutes before 2:07 PM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199362*k**4 + 14*k**3 + 3*k**2 - 1677403.\nAnswer: 4784688*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 19176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 4*v - 505 + 5118 = 0, 1546 = j - 3*v. Is 51 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2753, -2754, -2755, -2756?\nAnswer: -2757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -515920 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 7, b: 11, r: 1}. Give prob of sequence nrb.\nAnswer: 77\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2236 - -3308. What is the common denominator of 5\/9 and (-36)\/(-84) + f\/(-378)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (101 + 101 - 5*q**2 + 25 - 69)*(-15 + 36 - 38) to h*q**2 + y + n*q and give h.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l - 23. Let n be t(12). Suppose 4*f - n = -i, 0*i + 3*i = -2*f + 25. Suppose -c = j - 484, 3*c - f*j = -192 + 1652. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*l - 4*v, -5*l - 2*v - v = -24. Factor 6*a + 14*a**3 - 9*a**l + 3*a**2 - 8*a**3 - 3*a - 3.\nAnswer: -3*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 0 + n - 2 - 8*n + 6*n. Give s(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 2 - (-14)\/56*(-1 - -1). Let j(q) = 4*q**2 - 8*q + 3. Let w be j(k). Solve 5 = -4*m + w*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -44 - -43. Let f be (-21 - -23) + (2 - o). Let a(x) = -2*x + 7. Determine a(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 33930 and 59835178.\nAnswer: 754","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 1011022110112201?\nAnswer: 1011022110112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11387898 is divided by 7592?\nAnswer: 7490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1020002 + -10?\nAnswer: 1013332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 762355 divided by -5\nAnswer: -152471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 503502 is divided by 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 572 divided by -11?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1965 = -10*a - 5*a. What is the remainder when a is divided by 1*-2*(-2665)\/130?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.87 + -1. Let h = f + 0.04. Let k = -1896 + 1892. Is k at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -350*o**2 + 733*o**2 - 375*o**2 - 24 - 4*o. Let t(u) = u**2 - u - 1. Give n(i) - 6*t(i).\nAnswer: 2*i**2 + 2*i - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9752?\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 AM and 12:33 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve o + 2*k + 4 = -o, 1881 = -2*o - k + 1877 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 236\/12*1 + (272\/24)\/(-17)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1257 is divided by 416.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**3 + 17*n**2 + 57*n + 19. What is the remainder when 1484 is divided by k(-12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7884 is divided by 2513.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) be the first derivative of 1\/2*l**4 - l + 3\/5*l**5 - 2\/3*l**3 + 1\/6*l**6 + 12 - 3\/2*l**2. Factor c(g).\nAnswer: (g - 1)*(g + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide (-666)\/36 + 18 + 1201\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*n + 15*n + 4*s + s = 3*s + 27, 45 = 5*s for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 18 + 6 = 3*v, -3 = f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2425102836 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -f**2 + 34*f**3 - 24*f**3 + 3*f**2 to the form j*f**3 + q + l*f + n*f**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4 - 3 - 1) + 2. Suppose y*d = v - 2, -5 + 0 = 5*d + 2*v. Sort 4, d, -2 in increasing order.\nAnswer: -2, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -108.9 from -11.760715.\nAnswer: 97.139285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00004419321 rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 1, x: 3}. What is prob of sequence xsxx?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 32557670 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 0 - 1219*h**2 + 0 + 1202*h**2 - 4*h**5 wrt h?\nAnswer: -240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 12 = -s, -s + i - 6*i = -14. Suppose -10 + 19 = 3*y. Sort y, -10, s.\nAnswer: -10, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 71*s - 562. Calculate o(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 22 = r, 18 = r + 2*x - 19. Calculate the greatest common divisor of 135 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -2\/19, -0.1, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -409.\nAnswer: -2\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.06  (b) 2.8  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1108390772 a multiple of 1489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-159 - 242 + 161)*(q - q - q**2 + (2*q**2 - q + q)*(2 + 1 - 2) - 2*q + q**2 + 2*q).\nAnswer: -480*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*o**2\/5 + 6852*o\/5 + 1340064\/5.\nAnswer: 3*(o + 216)*(o + 2068)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 22 and 5788.\nAnswer: 63668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -l**3 - 4*l**2 + 14*l - 17. What are the prime factors of o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 16 - 15.65. Is 1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -98*x + 112*x + 0 + 3. Is r(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 5*o - 35 = 0, 39*g - 36*g + 5*o = 29 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -72  (b) -0.4  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6297 is divided by 84.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 63745107?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59624019.\nAnswer: 3, 7, 13, 8089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 945 - 1887\/2. Solve -3\/2*t**2 + 3\/2*t**3 - g*t + 3\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**2 + 5*g - 4. Let m be j(4). Let b be ((-20)\/25)\/(4\/(-50)). Let s be (-2)\/100*4*b\/(-26). Is m >= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9 + 412. Solve -r*x - 5 = -416*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) be the second derivative of 29*f**3\/2 - 259*f**2\/2 - f + 48. What is the first derivative of s(y) wrt y?\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 537 + -5?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**3 + 30*w**2 + 118*w + 597. Let a be o(34). Suppose -3*f + 3*l = -57, 3*l = -3*f + 2*f + 23. Let d = 3 - f. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -129 - -111. Let r be 2\/(-6) + (-528)\/z. Solve -5*x = -v - 4*v + 45, -v + r = -5*x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -10*t + 27. Let w be 5 + t*((-3)\/(-9) + -1). Suppose -3*x = -d - 175, -d + 103 = w*x - 82. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 610 = 2*v - 2*u - 418, 2*v - 1028 = -3*u. Is v a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -420 - -195. Round j to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 287 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = r**2 - 235*r - 480. Let z(c) = 2*c + 1. Let y(a) = j(a) - 2*z(a). Factor y(o).\nAnswer: (o - 241)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {a: 1, v: 1, x: 1, d: 1, e: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + 4*n**4 - 20601*n**3 + 20601*n**3 - 853*n + 2 to the form i + v*n**3 + k*n**4 + w*n + x*n**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(75)*2*-6 - (sqrt(75)*2)**2*4) + -3 - (-3 + -2 + sqrt(75) + 0 + 0)**2).\nAnswer: -1302 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*x + 25*x = 34 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10100111 (base 3) to base 9.\nAnswer: -3314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ooq when three letters picked without replacement from qqoooqoqqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -846, -849, -854, -861, -870, -881?\n\"Answer: -z**2 - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gggv. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*v + 5 = 4*h + 3*v, 4*h = -2*v + 68881 - 68871 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 38*t - 43*t = -160967, 0 = 2*j + 3*t - 80483. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.94 - 0.862. Let o = 33.922 + p. Let g = 33.5 - o. Which is the closest to 0.1?  (a) g  (b) -3  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*k + 33 = 5*f, 5*k = 6*f - 2*f. Let a(n) be the second derivative of 3*n**3\/2 - 2*n**2 - 8*n. Calculate the remainder when a(k) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -12405 - -24502. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + (1 - 3) - 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q**5 + 12*q**4 + 48*q**3 - 318*q**2 + 531*q - 270 = 0. Calculate q.\nAnswer: -5, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -149787 greater than or equal to -149785?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 2.6. Let b = v - 0.5. What is the closest to b in -3\/2, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 73\/1910140 and -39\/3533759.\nAnswer: 70675180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28823, 28837, 28861, 28895, 28939?\nAnswer: 28993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (4 - -3) + (-81)\/(-9). Solve -g + 9*g = -m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 99 and 7353280.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 4\/7, -93, -177?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -c + 6. Suppose 18 = -2*s + c*s. Suppose -s - 2 = 5*w, -2*w = -2*u + 454. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of y**5\/60 - 3*y**4\/8 - 5*y**3\/3 + 2*y**2. Let p be g(10). Put -4, p, -1 in decreasing order.\nAnswer: p, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.006635 to five dps.\nAnswer: 0.00664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/2129 in -50\/3, -1, -0.2, -4\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4f3 (base 16) to base 6.\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvwcmbsvcvwwvmcwcwcc. Give prob of sequence swbc.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -2d - 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4969909 by 15.\nAnswer: 4969909\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*(-15)\/20)\/(((-324)\/(-225))\/(30\/(-50))).\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16210.363 + -3.\nAnswer: -16213.363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -g**2\/8 + 12183*g\/8 - 48604.\nAnswer: -(g - 12151)*(g - 32)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1655361220 to the nearest 1000000.\nAnswer: 1655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 30.30776 micrometers?\nAnswer: 0.003030776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*j**4 + 1830*j**3 + 5516*j**2 - 7344*j.\nAnswer: -2*j*(j - 918)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 105 + -105. Suppose -t + 1505 = 3*o - f*o, 0 = 4*t + 2*o - 6040. Is t 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 1593824134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(2\/5)*s)\/s)**(2\/15)*s**(5\/2)*s*(s*s**2)\/s)\/((((s**(-2\/7)\/s)\/s)\/s)**(-6)\/(s*s**(2\/5)*s)**42) assuming s is positive.\nAnswer: s**(90971\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*u = -0*u - 126. What is the remainder when u is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -11*a - 63. Let h be u(-13). What is the highest common divisor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*y - 3*a + 1 - 5, -2*a = -y + 7. What is the remainder when 2 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.751 + 0.149. Let j = s + -0.9. Which is greater: j or -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 1, z: 1, i: 1}. Give prob of picking 1 z and 1 i.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 716 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 529*g - 1847. Does 45 divide u(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the second derivative of -9*p + 7\/3*p**3 - 3 - 20*p**2. Find the first derivative of t(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 71646 - 12206?\nAnswer: 57440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -9\/7, 5, 0.11, -24, -14?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 314950.4 years to months.\nAnswer: 3779404.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1319, 1291, 1215, 1067, 823?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6998992 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -15631 divided by 2233?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 260 minutes after 5:14 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1\/2  (b) 48.04  (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21496 - 21496. What is the closest to x in 0, 11, -14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 take away -126711530666?\nAnswer: 126711530664.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of 3*p**3 - 1\/2*p**2 - 1\/4*p**4 - 1 + 10*p. Let c be t(9). What is the greatest common divisor of 3 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -151\/9642 and -26\/57?\nAnswer: 183198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -109*m + 102*m + 8*p - 114, 5*m - 4*p + 78 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8 + 9 + -14 - (3 + 4 + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 239780 = 3039*k - 3019*k. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 30627858 divided by -6.\nAnswer: -5104643","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:48 AM and 7:06 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006962 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -5760 and 1.34?\nAnswer: 5761.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -27.96 - -27. Let l = 0.26 + f. Let w = l + 0.4. Which is the biggest value?  (a) w  (b) -0.5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2092771 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = -8*f + 1. Let d be n(1). Let j = -4 - d. Solve -5*w - 2 = j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 501 minutes before 6:45 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 14 (base 14) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -32249, -64501, -96753?\n\"Answer: -32252*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide 107 by 4083.\nAnswer: 107\/4083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by ((-18)\/16 - -5) + 8\/64?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 4, 37, 106, 229, 424, 709, 1102?\n\"Answer: 3*s**3 + 12*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6300?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 21 and 336?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/369 and 41\/3.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5 - -2. Let q(a) be the second derivative of a**5\/60 + 5*a**4\/24 + a**3\/3 - 4*a**2 + 9*a. Let n(c) be the first derivative of q(c). What is n(k)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*k**2 + 15*k**2 + 21*k**2 + 7*k**2.\nAnswer: 52*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) be the second derivative of 13\/12*j**4 + j**2 + 0 - 232*j - 9*j**3. Find the second derivative of p(s) wrt s.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 6*c**2 + 34*c + 41. Let p(b) = 7*b**2 + 34*b + 41. Let m(a) = 4*p(a) - 5*w(a). Let n be m(-16). Sort n, -3, 2 in increasing order.\nAnswer: n, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*n - 3*n + 8741 - 8653 - 106*n**3 wrt n.\nAnswer: -318*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 8 - (3 - 4 - -4). Suppose d - 48 = i*d. Let p be d\/6*(2 - 1). Which is bigger: p or -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3864 = 27*j + 99*j + 150*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 10 - 2. Let r = -6 + k. What is the second smallest value in 0, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1783*t**2 + 897*t**2 + 891*t**2.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**2 - 9*p + 3. Let o be j(8). Let l(h) = h**2 + 7*h + 7. Let d be l(o). Is 7 - 0\/(d + 2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2626 (base 13) to base 5.\nAnswer: 133230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (3\/6)\/((-4)\/(-18) - 300\/864)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d**2 - d + 297. Let u be o(0). What is the greatest common divisor of u and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 87053469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*r - 3*r + 1. Suppose -33 = -4*v - 13. Suppose -25 = 5*u, -x + 8 = -4*u - 16. Put x, v, r in descending order.\nAnswer: v, x, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -2.224 and 281069.2.\nAnswer: 281066.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 14 - (-11 - 571641667)\/23. What is d rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -120 + 59 + 61 + 2*i**3 + 3*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d + 2203 - 2221 = 0, 3*p - 2*d + 24 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 642 + 534. Is -5 + l + 1 + (4 - 7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -998*r**3 - 410*r**3 - 905*r**3.\nAnswer: -2313*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 385885 + -8?\nAnswer: 38587c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from eebemmbebeb.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1383 + 1427. Calculate the remainder when s is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*w + 51 - 105. Calculate the lowest common multiple of 6 and w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6 + 14. Suppose 0 = 4*o - 3*g - c, -5*g - 16 = -3*o + 5*o. Let z(a) = -o + a + 0 - 1 + 0*a. Let s(t) = t - 4. Calculate -5*s(u) + 6*z(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 160416475 to the nearest integer?\nAnswer: 12666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 2311 - 5*a**3 - 4622 - 11*a**2 - 7*a**3 + 2318 in the form p*a**2 + w*a + h*a**3 + z and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 30.141 - 28.141. Sort 5, i, 4, -0.6, 3.1.\nAnswer: -0.6, i, 3.1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s + 0*s - 3*g = -3, 4 = 4*s + 4*g. Suppose -19 = -4*k + 5*u, k + s*u = -u + 7. Factor -166 + 2*x**3 - k*x**3 + 166 - 8*x**2 + 4*x**4.\nAnswer: 4*x**2*(x - 2)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + -3 + 4 + 1 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 550 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 16658 + -36678. What is y rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 4*j = 14, 4*j + 2 = -k + 6*j. Let x be (21\/k)\/(-3 - 21\/(-6)). Let v = 17\/6 + 53\/12. Is v >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-12)\/(-10)*(11 + 28*49\/(-112)). Which is the nearest to y?  (a) 0.5  (b) 21  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109109952 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/(-4))\/(4*2\/96)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (160*b + 146*b - 211*b + 27*b)*(-b + 1 - 1).\nAnswer: -122*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 280511 is divided by 279854.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence niii when four letters picked without replacement from {n: 1, i: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 2*c**3 - c**2 + 2*c - 1. Let i be y(1). Let z be (-1)\/i - (-10)\/4. Let g(s) = -s. Let w(j) = -j + 4 - 4. What is z*g(v) - 3*w(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (36\/(-42))\/((-171)\/(-266))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3461 divided by -5?\nAnswer: 3461\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 11  (b) -5\/3  (c) -2  (d) -12418  (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*q - 18*q + 2688 = 0. Let m(f) = -21*f + 15. Let z be m(6). Let i = q + z. Sort -4, -5, i, -1 in descending order.\nAnswer: i, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rj when two letters picked without replacement from rcmjmrm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -197*l - 3 + 0 - 5*l.\nAnswer: -202*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 + 7*x**2 + 4*x - 8. Let k be q(-6). Suppose 5*r + 3*s + 6 = -0, -2*s = -r + k. Suppose 5*i - 21 - 524 = r. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30*1*(-4 - -5) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {x: 5, j: 3, e: 3, i: 3, h: 1}. Give prob of picking 1 j and 1 i.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-114)\/(-14) - (-2)\/(-14). Suppose -3*n - n + b = 0. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 25 (base 14) to base 16.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6.1216 + 5.912. Which is smaller: 3\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -86*p + 73*p - 14*p - 43*p - 3 + 3.\nAnswer: -70*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.3776 - -0.1224. What is the biggest value in 1002, -4, x, -1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 230*u**5 - 73*u**2 wrt u.\nAnswer: 13800*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 116749 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 times -4349418?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = 2*u + 6. Let c be j(-2). Solve 16 = -c*f - 3*k, f = -0*f - 4*k - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 52 in -0.7, 2\/3, -0.4, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 438749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1939*h = -1915*h - 1348 - 884 for h.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9421911nm in centimeters?\nAnswer: 0.00000009421911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify m*m**11*m\/m**(-3\/7) assuming m is positive.\nAnswer: m**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 80 = b, r - 5*r = -b - 64. Suppose 7*s + 2 - r = 0. Solve -s*m = 4 + 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 29 = 5*g + 11, 0 = 5*g + 3*k - 23. Solve 0 = -g*r - 3*m - 7, 3*r + 2*m = -4 - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -3*p**2 - 8*p - 4. Let s(r) = r**2 + 4*r + 2. Let u(b) = 2*k(b) + 5*s(b). Let y be u(5). Let o be 1\/y*1\/2. What is the nearest to -1 in 4, -0.4, o?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.039362 and 191?\nAnswer: 7.518142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -3 + 2. Let g = 31 + -94\/3. Let n = 0.03 - -4.97. What is the biggest value in n, g, m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-27)\/72 + 43\/8. What is the nearest to 0 in -5\/2, t, 3?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 6*i + 31. Let q = i - -10. Solve -5*l - 7 = q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1 - 10466378938.\nAnswer: -10466378938.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) be the third derivative of z**8\/10080 - z**7\/3780 - z**6\/1080 + z**5\/180 + z**4\/24 + 2*z**2. Let n(f) be the second derivative of o(f). Factor n(c).\nAnswer: 2*(c - 1)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 2 - 5 = 0, -4*c + 8 = 4*i. Let w = -11\/4 + 5\/2. Let b = -25763 - -25758. Sort w, i, b, 0.3 in descending order.\nAnswer: i, 0.3, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 + 6642046972932?\nAnswer: 6642046972983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 3777258128 a multiple of 13958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17 - -18.4. Let s = 1.367 + 0.233. Let j = h + s. What is the second smallest value in 2, j, -2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r - 1. Let o be a(-6). Suppose -22 + 2 = -o*w. Solve -w*h = h - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -151*(-30)\/(-135)*(-1)\/12 and -143\/30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (172 - 14 - 97 + 38*z**3 + 2*z**2)*(-5 + 2 + 5).\nAnswer: 76*z**3 + 4*z**2 + 122","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 * 8502\nAnswer: -17004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 193756*c**3 - 3*c**2 + 4298*c + 2.\nAnswer: 1162536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52*p**3 + 52*p**3 - 106*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 3 + (-10 + 0 - (17 + -24)). Solve f - 17*f + 48 = c for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iizz when four letters picked without replacement from {x: 1, i: 4, z: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**3\/17 - 48*q**2\/17 + 290*q\/17.\nAnswer: -2*q*(q - 5)*(q + 29)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -2*p - 808. What are the prime factors of p?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -2, 1624 in ascending order.\nAnswer: -2, 4, 1624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t - c = 45 + 41, c = -2. Let d = t - -44. What is the third derivative of -24*f**4 + 41*f**2 - 16*f**2 - 7*f**d wrt f?\nAnswer: -576*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (32\/20)\/(-3 - (-132)\/45)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ovuo. What is prob of sequence oouv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 4, -3, 12, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q**3 + 4*q**3 - 3 - 24*q**4 + 0*q**2 + 26*q**4 + q**2 to the form n*q + r + v*q**2 + z*q**4 + w*q**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 906342 is divided by 41197.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = 4*m**3 + m + 1. Let f = -3 + 1. Let o = 1 + f. Determine g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3416 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 2 = -101. Let c = 34 + n. Put -5, c, 3 in increasing order.\nAnswer: -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from aiifaaifanzaiz.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -239\/56 - -29\/7. Put 0.1, n, -2 in decreasing order.\nAnswer: 0.1, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 61\/213566 and -16.\nAnswer: 213566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 6:11 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6050 and 132?\nAnswer: 36300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 37\/116 and (-4)\/180*1668\/(-8).\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.33 - 0.23. Is w at least -6\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.2578 + 0.257797458. Round i to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1071.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*h**2 - 196*h**2 + 715*h**2 + 543*h**2.\nAnswer: 1127*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 142037 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes before 6:47 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -i - 3*s - 7, s - 10 = -3*i - 15 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 2 (base 3) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3064*d**4 - 87*d**3 + 6*d**2 + 198*d - 29?\nAnswer: -73536*d - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -45\/4664 and 175\/535194.\nAnswer: 2140776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j**6*j)\/j*j*j*(j\/j**(2\/25))\/j*j*j*j*j*j)\/(j*j*j**(-1)*j*j)**10 assuming j is positive.\nAnswer: j**(-427\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-60)\/90)\/((-72)\/(-135)).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/21)\/((55\/(-11))\/(-60)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -193*s + 8. Let w(n) = 583*n - 22. Calculate 8*i(z) + 3*w(z).\nAnswer: 205*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2) + sqrt(4)\/sqrt(2) + -2)**2 + sqrt(72)\/sqrt(9) + sqrt(12)\/(sqrt(18)\/sqrt(3)*-3))*-6.\nAnswer: -72 + 38*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1299301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 15938 - 15787. Calculate the remainder when j is divided by 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4*(1 + (4 - 4)). Calculate the highest common factor of 44 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -3214, -6435, -9660, -12889, -16122?\n\"Answer: -2*m**2 - 3215*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) be the third derivative of 1\/24*h**4 + 0 + 5*h + 4*h**2 + 0*h**3. Let a(z) = -24*z. Give a(v(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - -2)*7 + -2. Suppose -l + 140 = -h*l. Let w be 64\/(-322) - 10\/l. Which is smaller: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 267 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21963 is divided by 33?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002708 to five decimal places.\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*q - 6436 + 4676. Calculate the highest common factor of 88 and q.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c + c + 2*c**5 + (3*c**2 - c**2 - c**2)*(5*c - 2*c**3 - 5*c) + 2*c**3 - c**5 - 2*c**3)*(3 + 0 - 5).\nAnswer: 2*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nnd when three letters picked without replacement from {d: 2, b: 1, f: 10, n: 2, e: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-21\/4)*z*z**(-14))**(-3\/11) assuming z is positive.\nAnswer: z**(219\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 14 + 11. Suppose a - 45 = -2*a. Let g = d - a. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i - 4*h + 3 = -4*i, 7*h - 24 = 9*i - 0*h for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*p - 3*p - 13*p)*(-1 - 2*p - 3 + 2).\nAnswer: 94*p**2 + 94*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) be the second derivative of g**3\/3 - g. Let o(j) be the first derivative of -28*j**3\/3 - 2720. Give r(o(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 189 + 0 = 7*c. Let j = c - 16. Which is smaller: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2200, -102, 4 in ascending order.\nAnswer: -2200, -102, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 + 9 + -15 + 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 288, 282, 272, 258?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = w**3 + 19*w**2 - 2*w - 26. Let t(l) = l**2 + 2*l + 5. Let m be t(-5). Let a be m\/(-5)*19\/4. What is the least common multiple of o(a) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 divided by -1330?\nAnswer: 1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 21 divided by -9\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 185649132?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes before 12:29 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from {x: 3, f: 8, a: 3, b: 1, t: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (0 - 0) + 19 + -28 + 26 + -33.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 375 and 214908875?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:18 PM and 5:35 AM?\nAnswer: 497","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: What is 688 minutes after 2:53 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from {g: 2, t: 1, f: 9, y: 2}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**2 - 7 + 8*b + 4*b**3 + 7 - 14*b**2.\nAnswer: 4*b*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 + 3)\/((-4)\/8). Let y be (-2)\/(r\/(-20)*45\/(-72)). Calculate the highest common factor of 36 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (75\/60)\/((-2)\/52) and -37\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 620 - 285. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = n. Let m(z) = 5134*z. Calculate m(w(h)).\nAnswer: 5134*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 65.277468ns to hours.\nAnswer: 0.00000000001813263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 - (-1 + 0)*3. Suppose -4*v = -4*p + t, p - 5*v - 2 = -5. Suppose -15 = -p*n - n. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = 5*x**2 - 22*x - 10. Let c(z) = 6*z**2 - 23*z - 12. Let l(i) = -3*c(i) + 4*d(i). List the prime factors of l(-10).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -127 times 61080?\nAnswer: -7757160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*i + 51*p - 72 = 47*p, 0 = -4*p + 12 + 4 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -2493, -2445, -2401, -2355, -2301, -2233?\n\"Answer: w**3 - 8*w**2 + 65*w - 2551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1104 and 253632.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -9*m**2 + 9. Let a(g) = 28*g**2 - 27. Let o(n) = 2*a(n) + 7*f(n). Find the first derivative of o(k) wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 37 and 1797706.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, -9, 12, 4, 0 in decreasing order.\nAnswer: 12, 4, 0, -8, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 0*f - 5*f + 6*f)*(-1 + 2 + 1)*((0 + 0 - 2)*(0 + 4 - 3) + 5 - 4 - 2)*(8 - 8 + 7*f**2).\nAnswer: -42*f**3 - 168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = 71*o**2 + 6*o - 11. Let u be h(8). Suppose 19687 = 3*f + 2*t, 3*f - 5*t + u = 24275. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -o**3 - 11*o**2 - 9*o + 14. Let i be u(-10). Suppose w - 881 = -4*m, i*m + 5*w - 2*w = 883. What are the prime factors of m?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + i + 41 - 10 = 0, -2*i = 4*d + 26. Let j be (5 - d\/(-2))*2. Solve -9 = j*h - h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 155\/17 + (-10)\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 176339.\nAnswer: 19, 9281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -58 + 1?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 366 (base 12) in base 3?\nAnswer: 200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*u + 12 - 1300 = 2408 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*r + 3651 + 1274. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 70304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 16.43485 micrometers in meters?\nAnswer: 0.00001643485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -327 or -52?\nAnswer: -327","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find p, given that -p**3\/5 - 16*p**2 + 5589*p\/5 + 81468 = 0.\nAnswer: -93, -60, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 6 + 6. Let v(m) = -m**3 + 13*m**2 - 11*m - 9. Let u be v(d). Solve -u*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.95004 + 0.04996. Which is the fourth smallest value?  (a) 0.4  (b) -0.9  (c) 0  (d) -8  (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**2 + 11*b + 21. Give w(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -4 + 35\/7 - (-4 + 0). Suppose -c - 17 = 5*l, a*c = 5*l + 19 + 16. What is the third biggest value in 0.1, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10\/(-2) - (3 - 237)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -4*h**2 - 5. Let x(s) = 4*s + 396. Give x(w(f)).\nAnswer: -16*f**2 + 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve k + 70*y = -282, 18 = -5*k - 580*y + 578*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 216 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, i: 3, f: 2, j: 6}. What is prob of picking 1 i and 1 j?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -61071, -121685, -181829, -241509, -300731, -359501, -417825?\nAnswer: -475709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 11848640 divided by -74054\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 329415?\nAnswer: 3, 5, 21961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 3839467  (b) 3\/4  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-1*(sqrt(65) - (sqrt(65)*-1 - sqrt(65))))\/sqrt(5) + -2.\nAnswer: -3*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 25.3809 minutes?\nAnswer: 1522854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3411214620.\nAnswer: 2, 3, 5, 11, 53, 113, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = t**2 - 3*t + 2. Let k be i(6). Let l be k\/6*(-81)\/(-6). Suppose g - l = -785. What is g rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -186989*j**2. Let b(g) = -27*g. Calculate b(i(s)).\nAnswer: 5048703*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2035 a factor of 780831535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*x**2\/3 - 28657085*x\/3 + 38209420.\nAnswer: 5*(x - 5731413)*(x - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = 5*m**2 + 31*m - 4. Let g(l) = -l**2 + 16*l. Calculate -2*g(k) - u(k).\nAnswer: -3*k**2 - 63*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-396)\/(-63)*(5 - (-1 - 44\/(-8))).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) be the third derivative of d**8\/168 - d**6\/30 + d**4\/12 + 17*d**2. Find h, given that o(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 57408*v**5 + 4781*v**2 + 3*v wrt v.\nAnswer: 3444480*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -456601, -912861, -1369123, -1825387?\n\"Answer: -o**2 - 456257*o - 343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1 - 1 + 2*w)*(2*w + 14*w + w) to x + r*w + b*w**2 and give b.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 26 divide 286093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 - 3. Suppose a = -3 + p. Let q(l) = 23*l - 10*l - 4*l - 7*l. What is q(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-3 + 3*sqrt(833) + sqrt(833) - sqrt(833) - (3 + sqrt(1700))*-3) + 4)*2.\nAnswer: 20 + 102*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -102 + 105. Suppose f*n = 6*n + 312. Let c = -65 - n. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 12007 and 12029 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let 3*q**4\/5 - 57*q**3\/5 + 327*q**2\/5 - 747*q\/5 + 594\/5 = 0. Calculate q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -175, -351, -527, -703, -879?\n\"Answer: -176*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 274251?\nAnswer: 3, 113, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 634 + -231. Suppose j = -2*b + 391. Let w(k) = -5*k - 8. Determine w(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -409666, -409701, -409736, -409771, -409806, -409841?\nAnswer: -409876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = s - 0*w + w, -3*s - 5*w = 26. Let z be (-2)\/s + 230\/60. Solve -3*l - 18 = -3*a, z*l = l - 3*a + 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 - -6743153a?\nAnswer: 67431541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9216 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 (66 - 44) + (1 - 9) + -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 199 - -86. Suppose 2*w = x + 37. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000022589423 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1227216977.\nAnswer: 7, 919, 190769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0, -2\/7, -9\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 1a1 - -5?\nAnswer: 1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*g**3*t**3 + 51*g**3*t + 799*t**3 + t**2 with respect to g.\nAnswer: -24*g**2*t**3 + 153*g**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 17*f + 15. Let j(s) = 52*s + 42. Calculate -8*c(o) + 3*j(o).\nAnswer: 20*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**2 - 14822*t + 118448 = 0. What is t?\nAnswer: 8, 7403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.6866 - 0.9866. Let a = 2 + -2. What is the nearest to t in a, 6, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -11289*k**4 - 6*k**3 + 52*k**2 + 3*k + 425.\nAnswer: -270936*k - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 184068 and 368136?\nAnswer: 368136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = 22*o + 646. Give s(-29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.59 + 7.11. Let s = o + -8. Let u(i) = -i**3 - 17*i**2 - 39*i - 130. Let p be u(-15). Which is the second smallest value?  (a) p  (b) -1  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -1. Suppose 5*b - c = 2*c - 3, -5*c = -5. Suppose b = 2*g - g + 4. Let a(n) = 2*n**3 + 4. Suppose z - 1 = -2. Calculate g*r(x) + z*a(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5546 + -327224\/59. Calculate the common denominator of 30846\/(-22737) + (-6)\/13 and b.\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-33)\/55*5\/(-70)*-7.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (sqrt(28) + (sqrt(140)*-1)\/sqrt(5))\/(sqrt(144) + (sqrt(144)*-2 - sqrt(144))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 37 = -3*x, 3*m - 2*x + x - 31 = 0. Let n = 139 + -137. Calculate the smallest common multiple of n and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 12 = -0*u + 5*u, 5*u + 16 = 4*i. Solve u = -2*j + 2*m - m - 7, 2 = -2*j - 4*m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5280 + 9330. What is the smallest common multiple of 21 and t?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, o: 10, s: 4, t: 3}. Give prob of picking 1 o and 2 g.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*v + 0*v - 3*v)*(5*v - 2*v - 4*v) + 391*v**2 + 7467 - 7467 + (3*v - 4*v - v)*(-2*v - 3*v + 3*v) + 3*v**2 - 5*v**2 + 0*v**2.\nAnswer: 394*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3398 - -0.0602. Let n = 1.66 + -2.66. What is the biggest value in n, f, -1\/101?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4.8, -0.1, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1495 divided by 6?\nAnswer: 1495\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 22*t**3 + 131160*t**2 - 23848*t = 0. Calculate t.\nAnswer: -5962, 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = -3*v**3 + 2*v**2 + 5*v + 6. Let k(p) be the first derivative of p**4 - 2*p**3\/3 - 3*p**2 - 7*p - 736. Give 5*k(r) + 6*q(r).\nAnswer: 2*r**3 + 2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 48182\/5163 - -2\/1721. Which is bigger: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 278, 280, 282, 284, 286, 288?\n\"Answer: 2*h + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from llglllgllllg. What is prob of sequence gl?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44*r + 290 = 26*r - 12*r. Let w = 0.72 - 0.6. Which is the closest to -1\/3?  (a) 1  (b) r  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) be the second derivative of 43*m**8\/56 + 41*m**4\/12 + 5*m. What is the third derivative of s(t) wrt t?\nAnswer: 5160*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-4)\/3 + 1)\/((-2)\/204). Suppose 2*f = -0*f + 2*p + 16, 5*f - 3*p = c. Let g be -2*(21 + -22 + 0 + 0). Solve x = -g*k - 11, 10 = -f*k - 3*x - 18 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1479899?\nAnswer: 29, 51031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 0  (b) 1\/4  (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 66 - 31. Let x = -11 + u. Let r = x + -23.74. Round r to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*l**4\/2 - 12177*l**3\/2 + 6087*l**2.\nAnswer: 3*l**2*(l - 4058)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 109162189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f - 6*f + 2*f)*(-f - f + 3*f)*(-f - f + 3*f).\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1657177?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 50 - 27. Let j be (4\/(-18))\/(f\/(-138)). Let b be (-48)\/(-22) - (-1 + 3). Sort j, 5, b in increasing order.\nAnswer: b, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16965*j**3 + 23036*j**2 wrt j.\nAnswer: -101790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s = -5*h - 46, -3*s + 2*h + 94 = 2*s. What is the smallest common multiple of 22 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 909802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 2*r = 2408. Let s = -336 - r. Solve s = 3*m - 4*w, m = 2*w + w + 11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3 and 489?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15*j**2 - 38*j**2 - 35*j**2 - 36*j**2 - 1 - 12*j**2 to c*j**2 + v*j + r and give c.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -51*u**3 + 30*u**2 + 13*u**3 + 17*u**3 + 9*u**3 + 15*u**3.\nAnswer: 3*u**3 + 30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 643 minutes before 1:48 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -12 - 5*j + 7*j - 4*j. Let z be i(-10). Suppose 55 = 3*n - z. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5835*h*s**3 + h + 2*s**3 - 150*s**2 - 10*s wrt s.\nAnswer: 35010*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 170, -4, -7, -8, 4, 2, -1 in descending order.\nAnswer: 170, 4, 2, -1, -4, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, 5, 3.9, 1, 5\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000046846 rounded to 7 dps?\nAnswer: -0.0000468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 10*v**2 - 16*v - 58. Is 8 a factor of o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {r: 2, o: 2, s: 1, v: 1, g: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 145394087 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 87575723 to the power of 1\/2, to the nearest integer?\nAnswer: 9358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 957.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q = -q - 12. Solve u - q = 2*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 46.15435mm to centimeters.\nAnswer: 4.615435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*v - 6*v - 32*v + (6*v + v - 10*v)*(7 - 3 - 2) to the form q + z*v and give z.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 314*w - 77792. Calculate m(240).\nAnswer: -2432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31688*x**2 + 31683*x**2 + 285 - 296.\nAnswer: -5*x**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + -5438a0?\nAnswer: -5438a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 3. Let t be ((s - 0) + 26)*1. Solve 27 = -5*h - 4*u, 0 = -5*h + h - 4*u - t for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3 + 38332*u**2 + 5843792*u + 222283584.\nAnswer: -(u - 38484)*(u + 76)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 1\/10*b**4 + 57\/10*b**2 + 7\/5*b**3 + 36\/5*b.\nAnswer: b*(b + 3)**2*(b + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3683 or -18416\/5?\nAnswer: -3683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*f**2 - 15*f**2 + 0*f**2 + 3*f**2 to i*f**2 + o + a*f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(-3)\/y*(y\/y**(-1\/18))\/y*(y\/(y*y\/(y*y**(-2\/9)*y)))\/y**(-1\/8) assuming y is positive.\nAnswer: y**(-73\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = 7*b + 20. Determine w(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 3 - 4)*(3*d - d + 0*d)*(0 - 1 + 2)*(2*d + 5*d + 12*d) - 4*d + 3*d**2 + 4*d as b*d**2 + t*d + v and give b.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (4669\/1127)\/29*(13 + -2)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 63017*y - 945467. Determine d(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(36)\/sqrt(4))\/(sqrt(432)*3 + sqrt(3)).\nAnswer: -6*sqrt(3)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**2)**(-35)*(x**1)**(-16) assuming x is positive.\nAnswer: x**(-86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 5 - ((-12)\/3 + 1). Let i(g) = 5*g**3 + 3*g**2 + 77*g - 11. Let v(u) = 9*u**3 + 7*u**2 + 140*u - 19. Let h(m) = -11*i(m) + 6*v(m). Give h(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 30 - (4 - (-12)\/(-6)). Suppose 6*l - 34 = -j. Sort -6, 4, -5, l in increasing order.\nAnswer: -6, -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4098 divided by 252?\nAnswer: -683\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l**3 + 2*l + 2. Let o be c(4). Let z be (-54)\/(-4) + 36\/(-24). List the prime factors of (-1 - -3)*o\/z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the first derivative of r**3\/3 - 1644. Let w(f) = -f**2 - f. Let p(a) = -5*a**2 - 4*a + 94. Let s(k) = -p(k) + 4*w(k). What is n(s(i))?\nAnswer: i**4 - 188*i**2 + 8836","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 150 + 3*w - 150. Let p(a) = 4*a. What is p(l(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 114, 133, 152, 171?\nAnswer: 190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 725109 a multiple of 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 854*o + 205 = -3*k + 856*o, 208 = -3*k - o for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 406, 803, 1228, 1687, 2186?\n\"Answer: y**3 + 8*y**2 + 366*y + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j - 4*w = -4 - 6, 110 = -3*j - 4*w. Let p be (1 - -1)\/((-12)\/j). Factor -h**5 + h**2 - h**4 + h**5 - h**3 + h**p.\nAnswer: h**2*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-128)\/(-48)*(0 - 45\/(-12)). Solve 0 = -x - 3*d + 11 + 4, 0 = x + 2*d - u for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*v**2 - v**2 + 2*v**3 + 4*v**2)*(63 - 11 - 8)*(2*v**2 + 4 - 4).\nAnswer: 176*v**5 - 176*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -x**3 - 2*x**2 + 2*x + 1. Let s be t(2). List the prime factors of 172\/2 - (s + 15).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-6))\/((-23)\/(-109296)*48)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -82*f - 62016 + 64804 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -2\/13, 2, 24\/17, -1\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.3  (b) 26  (c) 2\/13  (d) 225\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 - (-6 + 4 + -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*z + 2*z - 8. Suppose -3 = 5*q - 2*q, -3*q - z = -h. Let c(n) = 8 - h - 41*n + 1 + 42*n. Give c(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-50)\/375 + (-966376)\/(-120) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -2*f. Let g(q) = 6*q**2 - 4*q**2 + 10*q**2 + 3*q**2. What is g(x(b))?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**2. Let z(v) = -410*v**2 - 105 + 105 + 109*v**2. Give q(z(x)).\nAnswer: 181202*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -3*g**2 + 6*g - 20. Let d(u) = u**2 - 2*u + 7. Determine 17*d(x) + 6*f(x).\nAnswer: -x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by -2716?\nAnswer: 3\/1358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(n) = -n**3 + 18*n**2 - 44*n - 20. Let t be m(15). What is the fourth biggest value in -4, t, -2\/9, 2\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 516115?\nAnswer: 5, 109, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 6*s**3 + 2*s**2 + 3*s + 2. Let i be h(-1). Let a be -1 - (i - -4)*7. Suppose -a*z + 3465 - 531 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 7*l**2 + 7*l**2 - 12*l**2 - 2*l**4 wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cqq when three letters picked without replacement from qoqqooc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the second derivative of 0*i**2 + 1\/42*i**3 + 1\/84*i**4 + 8*i + 0. Factor v(f).\nAnswer: f*(f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/410658 and 97\/12.\nAnswer: 821316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -16*(-1)\/(-2)*2\/(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -219*j*k**3 + 20*j*k + 482*j - 216232*k**4 - 1042*k**2 wrt k.\nAnswer: -1314*j - 5189568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-2) - (-115)\/2. Suppose -3*p - 4*p + 4*m = -227, -5*p - 2*m + 133 = 0. Calculate the greatest common factor of g and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) -4  (b) -0.2  (c) 2\/5  (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 0 + 0 - 1 - 1 + 4 + (-3 + 2 - 3)*(5 + 2 - 5))*(-3*o + 4 - 1 - 5)*(4 + 0 + 5) to the form v + f*o and give f.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*r - 5200 = -2*r - 41*r. What is the remainder when 130 is divided by r?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-14)\/(-6)*333\/2331. What is the nearest to 182 in -2, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*a**2\/7 - 794*a\/7.\nAnswer: 2*a*(a - 397)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 100233313302?\nAnswer: -100233313302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12290297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.12*-1021202.\nAnswer: 122544.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate i*l*r - 194828*i*r**3 - l*r**3 - 931*l*r**2 - 12*l*r + r**3 - r wrt i.\nAnswer: l*r - 194828*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 2600 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together 242245 and 0.2.\nAnswer: 242245.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -128*g - 70944*g**2 - 50*g + 70227*g**2 wrt g.\nAnswer: -1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11001111110000000000 (base 2) to base 13.\nAnswer: -23a423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 - 9. Suppose 0 = -n - 5*w - 21 + 3, 5*n = 5*w. Let f be (88\/(-28) - n)*1. What is the nearest to 2\/7 in v, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 100 - 100. Solve -i = -l*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21925 is divided by 77?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a. Let f be p(-4). Let q = -3 + f. Solve 4 = t - q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 - -4 - (5 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1055 = 6*z - z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 d, 1 m, and 1 r when three letters picked without replacement from ddmddzmddrzdd.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 6*w**3 - w**2 + 1. Let b be l(1). What is the common denominator of 247\/(-154) - 4\/(-14) and 2 + (171\/b)\/1?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 5\/2, 1.5, 0.2, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -b, 23 = 3*a + 2*b - 7. Let n = 15 - a. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1979, -2, 100 in ascending order.\nAnswer: -2, 100, 1979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3462*n**3*q + 2*n**2*q + 960*n*q wrt n?\nAnswer: 20772*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -s - h, -34871*s + 3*h - 52 = -34875*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -19 + 37*y + 143 - 12 + 134 + 134*y wrt y.\nAnswer: 171","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -9*z + 0*z**5 - 26*z**5 - 31*z**4 + 31*z**4 wrt z?\nAnswer: -520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vyy when three letters picked without replacement from xyjjyxvvjj?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 712023843 to the nearest integer?\nAnswer: 893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -134, -130, -118, -98?\n\"Answer: 4*h**2 - 8*h - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 169448 and 472.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4 - 1. Suppose -5 = o, 49 + 49 = g*h - 4*o. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 8*i**2 + 2*i**2 + i + 2 - i**3 + 3*i + 7*i. Let u be q(11). Suppose u*p - 390 = -4*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 59*f + 14*f - 196 = -123*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7425 + 6174 = 139*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes before 10:48 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16274 and 10918.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 456 divide 38086488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-1)\/d**5)**11 assuming d is positive.\nAnswer: d**(-66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1946572692.\nAnswer: 2, 3, 17, 103, 92641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (2 - (-6 - (-2 - (-5 + 0)))).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -v**2 + v + 267. Let c be z(0). Suppose 5*f - 2*i = c, f - 18 - 53 = -4*i. What are the prime factors of f?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) be the first derivative of 0*z - 4\/5*z**5 + 0*z**2 + 0*z**3 - 2 - 1\/2*z**4 - 1\/3*z**6. Solve g(j) = 0 for j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -11010251 + -2100?\nAnswer: -11012351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -8 + 15 - 4 - 3 - 314*r. Let p(m) = -m. Calculate p(y(c)).\nAnswer: 314*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 307316745 - 1?\nAnswer: 307316744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/((-414)\/322)*5?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 13969 and 916.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 0, -4, 7 in ascending order.\nAnswer: -14, -4, 0, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 119 divided by 12\nAnswer: 119\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:44 AM and 10:21 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-60)\/4*(-1)\/(-2)*(-568)\/(-3550).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -15229*g**3*h**2 + 655*g**3 - 15*g*h wrt h?\nAnswer: -30458*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -437380 divided by -21869.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 1771*g**5\/30 - 2045*g**4\/24 - 3177*g**2. Find the second derivative of n(u) wrt u.\nAnswer: 7084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 150, 125, 84, 21, -70?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1587828 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -34*q**2 - 9*q**2 - 80*q**2 - 105*q**2 + 0*q**2 to n*q + l*q**2 + d and give l.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:58 AM and 7:18 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -147 and 58222.\nAnswer: -8558634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 6358 and 114818?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = l**2 + 28*l + 44. Let f be r(-30). Suppose -92 = 3*z - f. Solve s + z = 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-335)\/(-4) - 2\/(-8). Let b = -96 + 38. Let j = c + b. Calculate the highest common divisor of j and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q - 6*q + 4*q)*(253 - 7*q**2 - 253).\nAnswer: 14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 415*431.\nAnswer: 178865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d + d = 4*s, -2*d + 3 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90 = -5*z, r + z + 13 + 10 + 7 - 7 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17)\/(2295\/18)*6?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 80644 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -206, 440, 2284, 5926, 11966, 21004, 33640?\n\"Answer: 100*z**3 - z**2 - 51*z - 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 2604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -3*n**2 - 4*n - 2. Let g(f) = 6*f**2 + 13*f + 14. Let h(v) = -7*v**2 - 13*v - 12. Let z(i) = -3*g(i) - 4*h(i). Give 7*b(k) + 2*z(k).\nAnswer: -k**2 - 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 2*u - 6. Let z be v(4). Suppose 5*f = 2*t - 38, 0 = 5*f - t + 23 + 11. Let k be f*2\/(-3) + 21. Solve 5*y = -k, 5*y + 19 = z*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + 1*(sqrt(1216) + -3*sqrt(1216) + -5)**2*5*6.\nAnswer: 4800*sqrt(19) + 146673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 70*u - 2417. Determine b(4).\nAnswer: -2137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + -1)*(-49)\/2. Let n(b) = -2*b**2 + 70*b. Let q be n(35). Suppose q = 2*t - u + 43. Solve t*l + 1 = -2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1424*b = -84210 + 34370 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1 + 15. Calculate the lowest common multiple of u and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -53*j*l**2*q - j*q - 73*l**2*q - l*q + q wrt j?\nAnswer: -53*l**2*q - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i\/i**(-3))\/i*i)**0\/(i*i*i*i*i**(-2\/9)*i)**(-1\/30))**46 assuming i is positive.\nAnswer: i**(989\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1988 - -2068. Do f and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the first derivative of -5857*q**3\/3 + 1055*q**2\/2 + 3595. Find the second derivative of o(y) wrt y.\nAnswer: -11714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dddddddddddddppddp.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3706?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/10 in -0.05, -0.3, 2\/7, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -41*c + 60*c + 76 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -1, -0.3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1422970 is divided by 1354?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2472 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -2973000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 563226427 from 78.558.\nAnswer: -563226348.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 22*v. Let z be i(1). Suppose -z = -2*g + g. Suppose 2*c - g = 5*j + 19, -2*j = 4*c - 46. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 164*b**2*d - 8*b**2*s**2 - 29*b*d*s**2 - 5*b*s + b + 3*s**2 wrt b.\nAnswer: 328*d - 16*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (-6*(-2*sqrt(121) - sqrt(121)))\/sqrt(11) - 1*(sqrt(66) - (1*sqrt(66)*-4 - sqrt(66)))\/sqrt(6))**2*6.\nAnswer: 288*sqrt(11) + 9528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 23*s**2 - 20*s. Let j = -17 + 24. Let g(b) = j*b - 11*b**2 - b**2 + 4*b**2. Give -6*a(d) - 17*g(d).\nAnswer: -2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (456\/(-468))\/(-19)*21\/42\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.02 + -4.644. Let f = g - -0.623999512. What is f rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -3*y**3 - y**2 + 2*y. Let g(j) = -4*j**3 - 3*j**2 - 86*j. What is 3*b(c) - g(c)?\nAnswer: -5*c**3 + 92*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -14*b**3 + 12*b. Let a(h) = -h**3 + 6*h**2 - 2*h - 6*h**2 + 3*h. Let v be 35*(1 - 4) - (-3)\/1. Let g be 12\/v + 412\/34. Determine g*a(f) - z(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 31 - 24. What is the lowest common multiple of h and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15300809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 48 in -2, 0.2, 0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -54*l**4 - 503175*l**3\/2 + 13656663*l**2\/2 + 14866422*l + 407682 = 0. Calculate l.\nAnswer: -4686, -2, -1\/36, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -r. Solve 0*q - 4*q = r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 2*i**2 + i + 5. Let t be c(5). Let p(h) = -h**2 + 13*h - 21. Let w be p(9). Calculate the greatest common divisor of w and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1905\/375 - (-6)\/(-75). Suppose -3*o = -4*q + 5080, 11*q - 6350 = 6*q - u*o. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = 2*s - 7, 6 - 2 = -s + x. Sort 1, -2, s in descending order.\nAnswer: 1, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1504*s**2 - 723*s**2 + 730*s**2 + (-4*s**2 + 2*s**2 + s**2)*(2 - 3 + 2) - 2*s**2 + s**2 + 3*s**2 - 1 + 1 + s**2.\nAnswer: -1495*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -3*f + 296. Suppose 0 = v + 2*z - 45, -2*v + 5*z = -v - f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -3 + (-9)\/(-4) + 18987\/(-8). Let m = 2365 + j. Let a = 2342 - 84317\/36. What is the common denominator of a and m?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 4400\/24 - 2\/6. Let c = x - 331. Let h = c - -325. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1915386.\nAnswer: 2, 3, 11, 29021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -191 in 778, 0.02, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.06 in -50, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 7*s**2*w**3 - s**2*w + s*w**3 + 29*w**3 wrt s?\nAnswer: 14*s*w**3 - 2*s*w + w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 1\/(-2) - 22\/(-4). Suppose 8*d + 16 = -8. Let q = d - -5. Sort 0, q, w in decreasing order.\nAnswer: w, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -k - 492. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1863*(-3)\/(-150))\/(3648\/10). Let h = 1\/320 + r. Which is the closest to 0?  (a) 1\/2  (b) 1\/4  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 19*l + 761. Is y(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o = 2*o - 5*z + 133, -3*z = -2*o + 83. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 582091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 137233 and 333.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 1, c: 4, k: 10, f: 4}. Give prob of picking 2 v, 1 c, and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 12741898033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4488a1 (base 12) in base 3?\nAnswer: -2001112211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) be the third derivative of j**8\/144 - j**7\/21 + 43*j**6\/360 - 2*j**5\/15 + j**4\/18 - 4*j**2. Let w(z) = 0. What is z?\nAnswer: 0, 2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-5 + 8 - 9\/4). Let x be (-72)\/(3 + (-28)\/g). Let b = x + -80. Calculate the remainder when b is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 728 + -722. Solve b - a = -3*g, -10*b + 3*g = -9*b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -5*p**2 + 20. Let k(z) = -77*z. Determine k(g(n)).\nAnswer: 385*n**2 - 1540","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 5*d**2 + 57*d + 69. Let a be s(-10). Let p(h) = -2 + 2 + 8 - 9*h - 9. What is p(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 0*f**2 + 4 + f**2)*(2*f + 0*f - f) + (-6*f + 3*f + 0*f)*(-2*f - 3*f**2 + 2*f).\nAnswer: 10*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9929 - -22504. List the prime factors of d.\nAnswer: 5, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from obobbobbbbboob. Give prob of picking 4 b.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-1 - -3) + 0\/2. Let l(n) = i + 0 + n - 3*n. Let z = 2 - 5. Determine l(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 818 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 154 + -90. Suppose -f = -2*x - 4. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 2*x + 1 + 4 - 3 - x. Let n = 12 + -22. Let f = n + 8. What is l(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:31 AM and 5:01 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 14, 21, 28?\n\"Answer: 7*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 850584 and 1051274?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 37\/5 of a hour?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 502 + -5?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 - 3. Let g be (-48)\/(-9) - r\/(-3). Suppose -54*x - 6*x = 15*x + 2*x. Solve x = h - g*h + 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 239168576*v**4 + 220387453 wrt v.\nAnswer: 956674304*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -130777 divided by 3\nAnswer: -130777\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.2 in -0.2, -1, -0.01323, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 229677 is divided by 3144.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 4 and -81.7?\nAnswer: -326.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 113 divide 745836386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 + -3 + -25 + 11 - -3 - 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7 + 6*y + 7*y - 12*y + 0 - y + 0 + (4*y + 3*y - 6*y)*(2 - 5 + 1).\nAnswer: -2*y + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*h - 24 = -18*h. Sort -1, -4, h in descending order.\nAnswer: h, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 17d072 - 5?\nAnswer: 17d06d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2 - 7 - (-42 - -37).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 88933.11 months?\nAnswer: 74.110925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 287852991.\nAnswer: 3, 95950997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/268 and -23\/26?\nAnswer: 3484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -40160604 minus 3?\nAnswer: -40160607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11774\/(-34800) + (-6)\/(-20) - (-8)\/100.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 26 - 25.65. Let v = a - 0.35094. What is v rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 1555490?\nAnswer: 3110980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 69234604?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 13467, 107688, 363569, 861984, 1683807, 2909912, 4621173?\nAnswer: 6898464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -4960.91 - 0.57\nAnswer: -4961.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 90372 divided by 3?\nAnswer: 30124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0004000859 to five dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 306 = -u + 4*u. Suppose -10 = -25*m + 23*m. Suppose 0 = m*i - 2*v + 76 - 333, -3*v - 258 = -5*i. What is the greatest common factor of i and u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -24*d + 6*d + d - d**4 + 6*d wrt d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 + -68. List the prime factors of (24\/4)\/2 - z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (39\/(-6))\/((-12625)\/(-4210) - 3). Suppose b = 6*s - 5645. List the prime factors of s.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67941737 rounded to the nearest 10000?\nAnswer: 67940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -10. Calculate the lowest common multiple of 16 and c.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 343854, 343793, 343718, 343629?\nAnswer: 343526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -5 - -7. What is the third derivative of 6*t**l - 7*t**2 - 2*t**6 + 4*t**6 wrt t?\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -14*s**2 - 6*s**2 + 9*s**2 + (16*s + 2*s + 17*s)*(4*s - 3*s + 0*s) + 2*s**2 - 3*s**2 + 0*s**2 as t*s + x + q*s**2 and give q.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**2 + 2*w - 1. Let h be j(-2). Let c = h + -2. Let v be (8 - 0\/1)\/(-2). Sort v, c, 2 in ascending order.\nAnswer: v, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1745, -2904, -4063, -5222?\n\"Answer: -1159*k - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 554821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 + 5*w**2 - w - 6. Let u be i(5). Let k = 8 + u. Suppose 19*a + 9 = 22*a - f, -4*f - 9 = -3*a. Sort a, k, 2.\nAnswer: k, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*w + h = 283, 8 = 5*w - 56*h + 60*h - 45 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (0 + 0))*5. Suppose 856 = y*u + 3*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/((21\/(-2))\/3*(-4)\/(-56)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 41186, 329472, 1111956, 2635736, 5147910, 8895576, 14125832?\n\"Answer: 41183*i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -2333 + 1010?\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (396\/(-270) + (-4)\/(-30))*6\/4. Suppose 4*n = j - 3*j - 488, -5*n - 970 = 4*j. What is the remainder when 135 is divided by j\/(-7) + 3*l\/21?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) be the third derivative of c**4\/8 - c**3\/6 + 7*c**2. Suppose -55 = -2*g - 51. Determine k(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 101486 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1900 by 2.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 2853 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 m, 1 n, and 1 q when three letters picked without replacement from {r: 1, q: 4, g: 1, n: 4, m: 1, s: 1}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f - 8. Let w be c(-5). Let b be 4 + 1*18\/w. What is the fourth smallest value in -4, -0.3, -1, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.12 + -0.13. What is the third biggest value in -3, -4, d?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/39702 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -90 + (-54 - -69) + 31.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -25802497 rounded to the nearest one million?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Simplify s**(-10)\/(s*s**15\/s*s) assuming s is positive.\nAnswer: s**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -43.096 + 0.096. Let o = 21 + h. Let w = o + 21.99999983. Round w to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 24434 - 24433.832. Is k greater than 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(-8) + (-104)\/(-144). Sort l, 48, -4, 0 in ascending order.\nAnswer: -4, 0, l, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -17, 2, -3, 59, 0, 6 in ascending order.\nAnswer: -17, -3, 0, 2, 6, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lzbb when four letters picked without replacement from zblbbabbbabaaau?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.3 and 19.52?\nAnswer: 19.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 30103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (182\/(-1183))\/((-2)\/(-13)). Which is smaller: -2\/47643 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -80963 or -80964?\nAnswer: -80963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*b + r + 2 = -230*b, 2*r - 4 = 0. Sort b, -18, -5 in descending order.\nAnswer: b, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -13 + 11. Let z be (1 + 1)\/(-2) - l. Sort 2, z, 4 in ascending order.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/7*x - 3\/7 - 1\/7*x**2 - 1\/7*x**3.\nAnswer: -(x - 1)**2*(x + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4828 + 0.03223.\nAnswer: 4828.03223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j + 4325 = 5*b + j, 5*b = 2*j + 4319. Is b a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/909 and -19\/66.\nAnswer: 19998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 59857936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -6688, -13066, -19444, -25822?\nAnswer: -32200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122346?\nAnswer: 2, 3, 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1 - 1102ac?\nAnswer: -1102b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 72750 (base 8) to base 10\nAnswer: 30184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 119\/8724 and 13\/144.\nAnswer: 104688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -645*b + 2. Let l(k) = 64*k - 252. Give g(l(t)).\nAnswer: -41280*t + 162542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = 7*l**2 - 19*l - 49. Let d(v) = -v**2 - v - 1. Let g(y) = -2*d(y) + j(y). Let k be g(-3). Which is smaller: k or 86?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + 5*t + 11 = 0, 5*t + 2 = 5*b - 33 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -10 + 10. Let z = 21255\/8 + -2624. Let r = -33 + z. Which is the second biggest value?  (a) -2  (b) r  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -310.699 + 310.199. Let q = -0.3 - -0.4. Which is the fourth biggest value?  (a) q  (b) 5  (c) 1  (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/5 - 12\/(-30). Let o be ((2 - -1) + -3)*f. Suppose 2*u = -o*u + 158. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1350 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -168444\/43 - -13444652\/4171. Let s = l - -694. Is s at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-15)\/6 + ((-580)\/(-40) - 11 - (-28)\/(-38))?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a second in milliseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4 + -6 - (2 + -13) - (1 + 14)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 5346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:06 AM and 5:31 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = 2*p + 14, 4204*d - 4200*d + 7 = 3*p for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 406845 greater than or equal to 406851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -51190 divided by -2\nAnswer: 25595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 86.886 - 87. Let v = 22.271504 - 22.15750457. Let n = v + c. What is n rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/4, 17\/212, -1\/6 in increasing order.\nAnswer: -1\/6, 17\/212, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = -3*o + 80. Suppose 4*y + 4 = -o. What is the tens digit of 16 + -2 - (-3 - y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 6 - -2 - 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**2 + 6*o - 6. Let x be z(4). Suppose 2*l + 3*h - 4 = 3*l, -x*l - 5*h + 3 = 0. Let y be ((-2)\/10)\/(l\/1). Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2470094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 39*b - 3*b - 88092. Let z = b + -910. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199800 = -5053*z + 169069 for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -589.5 in 94, -2\/9, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 2176 divide 1167918348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3290*c**3 - 7283*c**3 + 3891*c**3.\nAnswer: -102*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -1776677914 divided by -2?\nAnswer: 888338957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b**(-3)*b*b)**49)**19 assuming b is positive.\nAnswer: b**(-931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 72 and 2640?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*f**4 + 669*f**3 + 17121*f**2 - 36237*f + 18450 = 0 for f.\nAnswer: -25, 1, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 divided by 8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 19800000 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 10*s**2 + 26*s - 18. What is the remainder when 2622 is divided by c(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 611 at least 610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = 130*i**2 - i - 1. Let o be g(-1). Let c = o + 23. Suppose u + 2*u - 87 = 3*t, -5*u = -t - c. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4531 is divided by 4328?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/2, 5, 0.04, 4.9, 7, 1\/36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 5, h: 5}. Give prob of sequence hh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l. Let v(w) = -w**2. Let c(p) = 2*p**2. Let x(m) = c(m) + 4*v(m). What is b(x(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*o + 25026 = -1077. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3024016 + 4699716. What is v rounded to the nearest ten thousand?\nAnswer: 1680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**3 + 23*m**2 - 3*m + 24. Suppose 200 = -3*q + 13*q. What are the prime factors of w(q)?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 209 and 5824412.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*v + 69*v + 71*v - 653*v + 338*v + 65*v + 62*v.\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -5*v**2 - 67*v - 17. Calculate h(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 5*r + 21 = 0, 2*j - 4*r = 3 - 25. Let z = -1 - j. Solve z*i + 2*i = 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from cciciic.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2 and 283?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 divided by -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Do 3756 and 3753 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 200 (base 3) in base 9?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*w = -4*f - 2 + 22, 5*f = -3*w - 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 5*k + 4*k)*(1 - 1 + 3)*(5*k**2 + 4*k**2 + 0*k**2).\nAnswer: 162*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-10))\/h*(h*h**18)\/h assuming h is positive.\nAnswer: h**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 0.2 times 0.067597\nAnswer: 0.0135194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 36 = 4*m + 29, -2*p + 3*m + 135 = 0. Suppose t + t - 92 = 0. Calculate the highest common factor of p and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 14.114 - 14. What is q rounded to two decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millennia are there in 128.0891 centuries?\nAnswer: 12.80891","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -0.05 * -8.233\nAnswer: 0.41165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 11805 and 15822635.\nAnswer: 3935","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Are 14 and 6881036 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 2 or 0.19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 920 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 156714923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-222)\/63*-33 + 4\/(-14)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 67 + -36. Let t(f) = -8*f + 18*f - 13*f + j*f. List the prime factors of t(3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -540 = 28*n - 1016 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) be the third derivative of -7*t**4\/24 + 2349*t**2. Let q(p) = -2*p - 40. What is c(q(u))?\nAnswer: 14*u + 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 13930810*f**3 - 1180985 wrt f?\nAnswer: 41792430*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*84.528.\nAnswer: -253.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (6\/996)\/(-12 - -16). Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 2*a**2 - 56*a. Let g(s) = -14*s - 45. Give l(g(d)).\nAnswer: 392*d**2 + 3304*d + 6570","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 404 and 6262?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -59 + 51. Let k be (-1*3)\/((-1)\/(-1)). Which is the nearest to 0.2?  (a) 5  (b) k  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*z - 2*z**4 - 2*z)*(-3 + 2 + 3 + (-1 - 4 + 4)*(3 - 2 + 0) + 4 - 1 + 0 + 8 - 11 + 46) in the form b*z**2 + c + g*z**3 + n*z**4 + f*z and give n.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(8\/(-57)*(-123)\/(-410))\/((-36)\/30)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0*-3345.459\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -18 - 567a9?\nAnswer: -56816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 205391409 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 107*x**2 + 73*x + 3. Let c(n) = -n**2 + 2*n - 1. Let t(q) = 3*c(q) + h(q). What is the second derivative of t(f) wrt f?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 340 and 55267?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*q - 2*q = 3*g + 21, 4*g - 2*q = -18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 405\/54 + (-7 - 0)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(3\/11)\/h*h)**(-8\/5))**(-44) assuming h is positive.\nAnswer: h**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 26 + -3 - (99 - ((-63 - -21) + 57))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 178*h**2 + 4*h - 2. Let p = 327 + -325. What is the tens digit of b(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 90 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the first derivative of -y**4\/24 + 7*y**3\/2 - y**2\/2 + 8. Let u(c) be the second derivative of s(c). What is the units digit of u(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 127 = t, -4*m - 5*t + 442 = -111. Is 32 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19\/((-6479)\/22) + 7 + (-34390)\/310\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 15339, 30674, 46009, 61344, 76679, 92014?\n\"Answer: 15335*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -129 - -128.1. What is the smallest value in x, 0.1, 0.3, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l - 6*l - 190 = -l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 730234163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -264 = 14*v - 102*v. Which is the closest to -3\/2?  (a) -0.18  (b) v  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u**2 + 53*u + 78. Let r be g(-45). Let m = r - -314. Calculate the greatest common factor of 352 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17461 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -6576 - -6579. Solve z - 24 = 9*d - 13*d, -5*z = -c*d - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 98758.41 millennia?\nAnswer: 98758410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 = -3*t - 26. Let x(b) = -b**3 - 11*b**2 + b + 14. Let a be x(t). Suppose 8*f - 11*f + a = 0. Sort -2, f, 3 in descending order.\nAnswer: 3, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {a: 1, n: 4, r: 6, f: 1, d: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1494*f*o**3 + 4*f*o**2 + 2900*o**3 - 755734 wrt o.\nAnswer: -8964*f + 17400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-10)\/15*1*13\/39.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 12 - 11.8. Which is the closest to -3\/10?  (a) y  (b) -3\/7  (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 125\/3140868 and 59\/210.\nAnswer: 109930380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5485.\nAnswer: 5, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 412737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*n**5 - 87*n**3 - 2*n**2 - 10946*n wrt n?\nAnswer: -40*n**3 - 522*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of m**4\/6 - m**3\/3 - 3*m**2\/2 - 2*m - 3. Let v(i) be the first derivative of q(i). What is the units digit of v(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11 and 9853.\nAnswer: 108383","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*y**3 - 72*y**2 + 561*y + 630.\nAnswer: -3*(y - 7)*(y + 1)*(y + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -216.88 - 2044347\nAnswer: -2044563.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2540 divided by 1270?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 716563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 14186 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -55*p + 71 - 87 - 94 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -17 (base 12) to base 3.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17053\/17 + 1003. Put 2, p, 25\/2 in decreasing order.\nAnswer: 25\/2, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 4.6 + -1.1. Let j = 0.5 - g. What is the nearest to 2 in j, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10 + b?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3 + -211312?\nAnswer: -211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 357961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 218 a factor of 8644281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20.9 and -0.2?\nAnswer: 4.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 1*(-10)\/(-1 + -1). Suppose 0 = w - q*w + 32. Suppose 5*h - w = 2*a + 8, 3*h + a = 3. Solve -n = -h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i\/(i*i\/(i\/((i*i**22*i)\/i))))\/(i\/i**(1\/7)))\/(i*i*i**10)**(-1\/5) assuming i is positive.\nAnswer: i**(-751\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 75437 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5121545 is divided by 220?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(44) + sqrt(396) + sqrt(44) - sqrt(44))*-3)\/(sqrt(432)\/sqrt(12)) + -3.\nAnswer: -4*sqrt(11) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: ((((-6)\/8)\/1)\/(20\/(-64)))\/(30724\/844910)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4109147 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wltt when four letters picked without replacement from {l: 5, w: 2, t: 3}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(sqrt(2) + (0 + sqrt(2))**2 + 1)*2.\nAnswer: 2*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -5835*g**2 - 149*g + 4413934?\nAnswer: -11670*g - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 314964.\nAnswer: 2, 3, 13, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) be the first derivative of 5*u**8\/336 - 7*u**4\/24 + 3*u**2\/2 + 3. Let d(g) be the second derivative of p(g). Find the second derivative of d(s) wrt s.\nAnswer: 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25*p - 25 - 28 + 52)*(34 - 114 + 148).\nAnswer: 1700*p - 68","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1884 + -1016. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 23*v**3 - 2*v**2 + v + 2. Let f be b(-1). Let n = -21 - f. Let x(h) = n*h**2 + h**3 + 5 - 3*h + 2 - 5. Determine x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -2360 and -24039 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*k - 598*k**2 + 4*k - 537*k**2 to x*k**2 + u + q*k and give x.\nAnswer: -1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -25*j**6*w + 3*j**6 + 2*j**2*w + 134*j*w wrt j?\nAnswer: -3000*j**3*w + 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**2 + 18*r - 28. Let l be o(16). Solve 0 = m - 3, 0*a + l*a + 1 = -5*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1102990 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(72)*-1.\nAnswer: -6*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -y**3 - 131*y**2 - 1319*y + 130. Determine h(-120).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 422, 1692, 3808, 6770, 10578?\nAnswer: 15232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27445?\nAnswer: 5, 11, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 65\/174867 and -157\/336.\nAnswer: 2797872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 149\/4 or -85?\nAnswer: 149\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 8*j - 333. Let o(z) = 2*z + 1. Give -c(y) + 3*o(y).\nAnswer: -2*y + 336","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 20\/3 - (-2)\/6. Suppose -96 = j*u - 10*u. Suppose u = 4*m + 2*i, -4*i - 6 = -i. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 4397570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = c - 5*x + 29, -2*c - 15*x - 24 = -116. Solve -3*t + c = 2*l - 4*l, 0 = -4*l - 5*t - 13 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z = -3*i + 9, 5*i + 0*z = 3*z - 14. Which is greater: 1\/12 or i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8.894729 decades in millennia?\nAnswer: 0.08894729","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Is 169385 at least 169386?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*u**2 + 4548*u - 22640.\nAnswer: -4*(u - 1132)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*k - 13 = 99 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:21 PM and 8:36 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 13*p**2 + 25*p**2 + p - p to the form k*p + s + a*p**2 and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/1 - 0\/((-9)\/(-3)). Factor -2\/7 - 2\/7*c**3 - 6\/7*c - 6\/7*c**n.\nAnswer: -2*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 246252, 492510, 738768, 985026?\nAnswer: 1231284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -19 and 22.\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 197 minutes after 9:26 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 60 = -10*d, -d + 165*t - 170*t = 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -17 plus -2757?\nAnswer: -2774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 131 + -43. What is the remainder when s is divided by 4\/12 + (-4 - -5)*132\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 5*t = 93, 0*i - 5*i + 5*t = -240. What is the highest common factor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iilidkdkdldd. Give prob of sequence ik.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**3 - 6*y**2 - 14*y + 5. Give i(-3).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w, 1 p, 1 t, and 1 l when four letters picked without replacement from {o: 1, t: 1, l: 1, w: 1, p: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-18)\/15*(-10)\/3. Suppose 2*i - 14 - 2 = -5*j, -z*i + 2*j = -80. Calculate the remainder when -1*(-2 + 50*-1) is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 20 + -18. Suppose v*o - 133 - 79 = 0. Does 36 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(1\/8)\/(u**(-2\/5)\/u*u\/(u*u**4)))\/((u\/(u\/((u**(2\/5)\/u)\/u)))\/(u*u\/(u**(1\/3)*u)*u))**(2\/133) assuming u is positive.\nAnswer: u**(12709\/2280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Multiply -13.05 and 318.\nAnswer: -4149.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 8283302 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -43 - -42.8. What is the nearest to -1 in -0.1, 1\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -7*n**2 - 4*n. Let s(v) = 114*v**2 + 66*v. Let u(y) = -33*f(y) - 2*s(y). Let z(w) = 46*w**2. Calculate u(z(c)).\nAnswer: 6348*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the third derivative of 0*j**3 + 0 + 1\/60*j**5 + j**2 + 0*j**4 + 0*j. Let h(v) = -v. Give s(h(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = n**2 + n. Let r be x(0). Suppose -2*h + 2 = -r. What is the least common multiple of h and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from strvpzp. Give prob of sequence sv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 64 + -114. Let o = 51 + h. Solve -5*v - 2*l - 30 = 0, 5*v - 2*l + o = -9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -298*r - 1716. Determine f(-6).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1185.9145272 and -6.\nAnswer: 1179.9145272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -6*(-1)\/3 - (-22)\/(-10). Which is the nearest to -1?  (a) 8  (b) -1\/4  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -3.1 * 2247.\nAnswer: -6965.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(3\/7))**(9\/2) assuming t is positive.\nAnswer: t**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 2*i**3 - 102*i**2 + 19*i + 45. Determine v(51).\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 72509*f**2*j*s + 5*f**2 + 5*f*j*s**3 + 569062*f*s**3 with respect to j.\nAnswer: 72509*f**2*s + 5*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + 9 + -11 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 603 + 5*a**2 - 603 + 7*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the first derivative of -4\/3*x**3 + 8 + 1\/2*x**2 - 1\/4*x**4 - 5*x. Let d be h(-5). Solve -2*z = -7*z - d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h - 1 = -3*f + 24, 2*f - 15 = h. Let d(r) = -5*r**3 + 19*r**2 - 9. Let i(s) = -s**3 + 2*s**2 - s - 1. Let w(g) = d(g) - 6*i(g). Give w(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2525)\/(-50) + -29 - 21)*-146.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -c + 4*d + 55, d = 2*c - 3088 + 3076 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00000611 rounded to seven dps?\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*y = -3*n + 107, -4*n + 4*y = -148. Let q be 6\/n - (-714)\/91. Suppose 2*t = 38 - q. Calculate the greatest common factor of 120 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662285 to the power of 1\/3, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 889, 887, 885, 883, 881, 879?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1494.\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h. Suppose -8 = -4*r + 8. What is the units digit of v(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 0\/(-1 - -2) - 24\/(-120). Put 3\/8, b, 10 in ascending order.\nAnswer: b, 3\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -129*u**2 - 1464*u - 495 = 0. What is u?\nAnswer: -11, -15\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 116*b**5\/7 - 368*b**4\/7 - 4876*b**3\/7 - 12440*b**2\/7 - 12304*b\/7 - 608 = 0.\nAnswer: -2, -1, 266\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 + -6. Let a = t - 5.846. Round a to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14\/32*(-396)\/(-462)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 2*w**2 - 302*w**3 - 2*w**2 + 273*w**3.\nAnswer: -29*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**11*g*g*g**(1\/10)*g)\/(g**(2\/25)*g\/((g\/g**(-1))\/g*g)) assuming g is positive.\nAnswer: g**(751\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 20228.4459ms in days?\nAnswer: 0.00023412553125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 1 - -106 - (-66)\/22. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(156)\/(sqrt(12) + ((sqrt(84) + sqrt(84)*-2)\/sqrt(7) + sqrt(12) + sqrt(12) - sqrt(12))) - (2*sqrt(13) + -2)*1)**2.\nAnswer: -4*sqrt(13) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -23, -42, -61, -80?\n\"Answer: -19*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -4 - 4 - -17 - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -33157 divided by 1232?\nAnswer: -33157\/1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 5, w: 7, o: 7}. Give prob of picking 1 s and 2 w.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.1 and -46?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -13.5 times 66.5\nAnswer: -897.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**5\/3 - 38758*u**4\/3 + 425612*u**3.\nAnswer: 2*u**3*(u - 19346)*(u - 33)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2\/5, 3, 2748.01, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*d + 31*d - 8*d + 20*d as h + b*d and give b.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Suppose a = 7*a - 96. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the second derivative of 17*k**4\/6 - 171*k. Let i(u) = -3*u. Let a(q) = q. Let d(h) = 11*a(h) + 4*i(h). Calculate d(t(o)).\nAnswer: -34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange w**3 + 2*w**3 + 9*w**2 - 3*w**2 + w**4 - w**3 to the form a*w**4 + l*w + h*w**2 + y + p*w**3 and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -85 - -85.1. What is the second smallest value in -1, -12\/5, -3, n?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 163*d + 1815. Calculate r(-26).\nAnswer: -2423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 774 divided by 18\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 40.1870889us in weeks?\nAnswer: 0.00000000006644690625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5 - -1*(3 + -6). Let m be h + (-1)\/((-3)\/(-5)). Factor m*a**2 + 0 + 2\/3*a.\nAnswer: a*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*f + 0*f + f**3)*(-1 + 0*f + 3*f - 5*f).\nAnswer: -2*f**4 - f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-616)\/420*-5*-3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 10916899 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 221066594 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -187464*x**3 - 133211 wrt x?\nAnswer: -562392*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 58\/(-4)*134\/(-1943). Let z(y) = -y**2 - 5*y - 2. Let f be z(-3). Solve -3*w + w = 3*u + h, w = 2*u - f for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17322 = -98*k + 14578 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((2*sqrt(539) + -1)**2 + sqrt(539))*6.\nAnswer: -756*sqrt(11) + 77652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine k so that 4*k**5 - 24*k**4 + 128*k**2 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -5*n - 9. Let s(x) = -2*x - 2. Let u be s(n). What is the third derivative of -6*g**2 + g**2 + u*g**2 + 3*g**5 wrt g?\nAnswer: 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2001, 2015, 2047, 2103, 2189, 2311?\n\"Answer: s**3 + 3*s**2 - 2*s + 1999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 482249250 divided by 6889275?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -10*n + 4*n + 750. Let s = n - 120. List the prime factors of (s\/10)\/(2\/536).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -66 - -65.7. Suppose 4*n + 3*x - 2*x = 6, 4*n - 4*x = 16. Let u be n\/(-6) + (-48)\/18. Which is the smallest value?  (a) 3  (b) k  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-18) - 60\/(-27)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f = -4*z - 5770 + 1494, -4*z = f + 4282. Let q = z - -470. What is the tens digit of ((-6)\/(-15))\/((-6)\/q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) 8  (c) 1\/5  (d) -10461111\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 44807902?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 2*r - 10, 0 = 5*b - 4*r - 6 + 31. Let x = b + 14. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -310*y + 39 = -297*y. What is the second biggest value in -1\/9, 19, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 4*c + 2*c = 246, 5*c - 328 = -4*b. Suppose -2*z + b = 66. Solve -5*p - 24 = 4*f, 2*f + z = -2*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -3*p + 5*x, 2*x + 2*x + 6 = 3*p. Suppose 4*z - 5 - 7 = 0. Differentiate p*k**4 - 3 + k**4 - z*k + 3*k wrt k.\nAnswer: 12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1046746 is divided by 1046435?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18084, 39837, 76094, 126855, 192120, 271889, 366162?\nAnswer: 474939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*v + 5*j + 11 = 0, -9*v + 5*j + 129 = 136 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - 139*d - 3263. Determine f(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(156)\/((sqrt(24)*2)\/sqrt(2) - sqrt(12)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -130232001 (base 4) to base 15.\nAnswer: -24cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (101*536\/(-3491772))\/(2\/6)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1830*o - 19*o**2 - 5*o**2 + 1830*o - 17*o**2 + 29*o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 2*k + k - 8, 2*g - 2 = -2*k. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 29 + -19. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 320 a factor of 19894720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of -8*(-10)\/2 + 2 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, g: 6, j: 3, a: 7}. What is prob of sequence oj?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1.69 >= 207.82?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zlff when four letters picked without replacement from lzqkkflflf?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*l**6 - 314*l**5 - 4*l**2 + 30*l + 8?\nAnswer: -360*l**3 - 18840*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 9049 a factor of 199539499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (38\/(-8)*2)\/((-7)\/14). Let f be ((-278)\/6)\/(2\/(-6)). Suppose 5*t - 124 = -2*j, -4*j = 4*t - f - 97. What is the highest common divisor of j and a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the first derivative of -x**4\/2 - 2*x**3\/3 + 2. Find a such that w(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 2, z: 16}. What is prob of sequence zpzz?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1385 - 1392. Which is smaller: -3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oiw when three letters picked without replacement from wjgigoiijwww?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 75 - 74.9. What is the closest to -0.1 in -3, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (59\/236)\/(-2 - 107\/(-53)) and 90\/(-4)*12\/840?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -9257, 11, 0 in ascending order.\nAnswer: -9257, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 8 - 5. Let s(r) = 0*r**2 + 0*r**2 + r**2 - r**y + r**4 - r - 1. Let i(u) = 22*u**4 - 55*u**3 + 57*u**2 - 28*u. Let o(k) = i(k) - 4*s(k). Factor o(d).\nAnswer: (d - 1)*(2*d - 1)*(3*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*l = l + 68 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -241.84 + 151.87. Let x = -89.974013 - d. Round x to four dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 8*p - 28. Let b be 9\/(1 + -4)*(-28)\/p. Suppose g - 2*f + 2 = -g, 2*f = -2*g + b. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*v + 16*v + 6 = 0. Solve 2*r + 5 = t, -5*t + 6 = -v*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 40237025.\nAnswer: 5, 139, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -65 - (-24 + -8) - (-14 + 2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k + 4 - 21 = 0 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 2*a**3 - 5*a**2 + 3*a - 3. Let p be u(3). Suppose -26 = -2*f - 2*c, -2*f + 4 = -4*c + 2. Let b = p - f. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-2 + 7)\/((-2)\/10). Let y be (-226)\/(-10) + (-10)\/s. What is the highest common divisor of y and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 7, t: 1}. Give prob of sequence ot.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -3 + -9*1\/(-3). Sort -6, -1\/5, u, 0.5.\nAnswer: -6, -1\/5, u, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2302211 to the nearest integer?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65*l + 824*l + 20412 - 20599.\nAnswer: 759*l - 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -4 - -6. Let o(u) = -3*u. Let x(b) = 4*b - 1. Let q(s) = -5*o(s) - 4*x(s). Let p be q(4). Solve -c*k = 3*v + 11, -k + v = -p*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the third derivative of r**5\/60 - 5*r**4\/24 - r**3\/2 + r**2. Calculate the remainder when 43 is divided by s(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15980000 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 6*b**2 - 5*b**2 - 85 - 5*b**4 - 33 - 3*b**4 + 3*b**4 wrt b.\nAnswer: -20*b**3 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -7*j - 2 + 4*j**2 - 3 - 2 + j**3. Let g be y(-5). Suppose -8 = 2*w + 4*r, -10*w = -15*w - 2*r + 12. Solve -k = -g*k - w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**2 - 8*h - 117. What is b(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26 = -t - 2*m - 2*m, 3*m - 3 = 3*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zczvzucuuuzhzzu. What is prob of picking 1 z and 1 c?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = -3154*q + 3137. What is w(1)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 6*x**2*z**3 + 100*x**2 + 112*x - 48216*z**4 + 20 wrt z?\nAnswer: 18*x**2*z**2 - 192864*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-84)*-6 - (-1605)\/105?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.81815 to 2 dps.\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -1674 (base 9) to base 13\nAnswer: -778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i + 4*i**2 - 4*i)*(2*i + 1 - 1)*(-1 - 4 + 6)*((2 - 2 + 2*i)*(4*i - 6*i + i) + i**2 + 0*i**2 - 2*i**2).\nAnswer: -24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -4. Let t(v) = v**2. Let i = -39 - -35. Let m be t(i). Solve -4 = 2*a + p, -p = d*p - m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2\/(-7) + 88\/(-84). Suppose 60*a - 49 - 371 = 0. Put a, s, 5 in decreasing order.\nAnswer: a, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -0.2  (b) 4  (c) 3  (d) -4  (e) 2\/837\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -65*n - 130. Let j be q(-8). Let x be 1 + (39 - -1) - 2. What is the greatest common divisor of j and x?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2*567\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = t**2 + 9*t - 212. Calculate the remainder when r(13) is divided by 47.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -16*q**4 - 3*q**3 + 2*q - 79. Let c(r) = -33*r**4 - 7*r**3 + 5*r - 160. Let m(k) = -5*b(k) + 2*c(k). Differentiate m(j) wrt j.\nAnswer: 56*j**3 + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 17 = -7. Let y(c) = -c**3 - 4*c**2 + 5*c + 3. Let o be y(-5). Solve a*j - o*j = s - 9, s = -2*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 841220527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r + 12 = r. Let i(z) be the third derivative of z**5\/60 - z**4\/24 - 2*z**3\/3 - 3*z**2. Calculate i(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/(f*(f\/(f\/(f*f**(-1\/4)*f)))\/f))\/f)**(-9\/2)*(f\/(f*f**1*f*f*f*f*f))**(5\/3))\/(f**(-4)*f**(-5)*(f*f**1\/f*f*f)**(4\/3)) assuming f is positive.\nAnswer: f**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.111 - 11.311. Round w to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5415, 5326, 5177, 4968, 4699, 4370, 3981?\n\"Answer: -30*z**2 + z + 5444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.654183 equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -5 - 66?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 56*g + 751 + 419 = -9*g for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(684)*-1 + 3 + sqrt(684)*2.\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 15\/(-30)*(-1)\/5*9\/(-3)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h - 3*h - 2*h)*(2*h - 5*h + h) - 982 + 982 + 135*h**2.\nAnswer: 133*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11024, 10346, 9662, 8972, 8276?\nAnswer: 7574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 60 + -105. Let j = g - -44.58. Let x = j - -0.4. Are -1\/2 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 33\/5 + 4\/10. Let j(s) = -19*s**2 - 3*s - 6. Let x be j(-5). Is x\/(-3) - h\/21 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -36*i**3 - 35*i**3 + 68*i**3 + 0 + 0.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 31\/20 or 1?\nAnswer: 31\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 3 (base 8) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1104479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -19\/1480 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 16 + -10. Suppose -3*q = u - j*u + 26, -8 = 2*q - u. Let y be (q\/2)\/(4\/(-16)). Solve 0 = 3*o - 5*w + 10, -y*o - 3*w + 6 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1235629?\nAnswer: 23, 31, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 90 = -8*b. Suppose 0*u + b = 3*u. Let o(x) = 4*x**2 + 6*x + 6. Let g(t) = 9*t**2 + 13*t + 13. Determine u*g(q) - 13*o(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -201*q - 70 = -215*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1226*a + 1233*a - 84 = 0. Let r(d) = d - 13. What is r(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from owowoooooo. What is prob of picking 1 o and 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 88 = -4*h. Calculate the smallest common multiple of h and 2*((-1092)\/13)\/(-6).\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/((-3072)\/(-72)))\/((-3)\/(-5))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -d**3\/3 - 446*d**2\/3 - 49729*d\/3.\nAnswer: -d*(d + 223)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -12 + 29 - 5 - 5 - c. Let n be q(4). Suppose 2*j = 2*w + 12, -2*j + 4*w + 33 = n*j. Solve 0 = -2*x - 8 - 0, 0 = 3*u + 3*x + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-3))\/((-14)\/(-21)). Let j = c + 4. Let h(z) = -3*z - 1. What is h(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23*b**4 + 2 + 0 - 26*b**4)*(0 - 4 + 3).\nAnswer: 3*b**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 48100 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*c - 420*c + 38*c = 610 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7902 (base 12) in base 11?\nAnswer: a077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 47\/2 bigger than -402994?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1623244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 170 - 269. Let i = g + 125. What is the remainder when 231 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**24)**3\/(l**(-12)*l*l**(-29)*l))**(-11\/2) assuming l is positive.\nAnswer: l**(-1221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**2*m)**39\/(m\/(m*m*m**(-2)\/m*m))**(-2\/73) assuming m is positive.\nAnswer: m**(8543\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -3 > -3\/5525?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 - g**2 + 1. Let l(x) be the third derivative of -7*x**6\/120 - x**5\/15 + 7*x**3\/6 + 2*x**2 - 6*x. What is 6*f(a) - l(a)?\nAnswer: a**3 - 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*s - 146 + 152 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.7073737 and -17.\nAnswer: -15.2926263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 119 divide 359497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*m - 148 + 4*m - 3*m - 2165.\nAnswer: 3*m - 2313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 18 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 21  (b) -1  (c) 3  (d) -3.728  (e) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2483400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -124 divided by 4?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -505*g**5 - 6 + 23*g - 2*g**4 + 12 - 14*g - 25*g wrt g?\nAnswer: -10100*g**3 - 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -462, -566, -660, -738, -794, -822, -816?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 21*i - 1. Calculate w(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 46  (b) -0.01  (c) 2\/5  (d) 17  (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 - 1) + 0 + 3 + -5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*i + 4 = -26 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 10 = 3*g. Let h be (-6)\/5 - (-2)\/g. Let i = 4 - 6. Which is the closest to -0.1?  (a) -0.5  (b) i  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1 + -1 + (1 - 1). Let s(m) = -m**2 + 8*m - 8. Suppose -2*c + 15 = 3*c. Let h be s(c). Solve g*b + h = b - 3*v, v + 3 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 997*k**3 - 9*k**2 - 254*k + 107611236?\nAnswer: 2991*k**2 - 18*k - 254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - 350?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3648*g + 80554*g - 30418*g + 80554*g - 13510*g.\nAnswer: 113532*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/5 in -0.5, 0.1, 1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + -1. Suppose -69 = -4*m + 3*f, -27 = 3*m - 5*m - f. Let r be (-66)\/(-10) + 6\/m. Solve -k*u = -3 + r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -z. Let l(j) = -523091123*j**2. Determine l(f(g)).\nAnswer: -523091123*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g = 4*r + 3, -17139*r - 3 = -3*g - 17141*r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -106*q - 13*q + 1536528. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w - 7. Let d be s(0). Let b(x) be the third derivative of x**5\/30 - 2*x**2. Let r(c) = 2*c**2 - 5*c**2 + 8*c**2. Determine d*b(a) + 3*r(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((0 + -1*5*(sqrt(1008) + sqrt(1008) + -1) + 6*(3*sqrt(1008) + sqrt(1008)) + sqrt(1008) + sqrt(1008)*3 + 0)*-4)**2.\nAnswer: 34560*sqrt(7) + 5225872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1, -117688, -94?\nAnswer: -117688","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4 - 3.65. Let x = 0.05 + y. Which is the second biggest value?  (a) x  (b) -2  (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8732 + -8731.90703. What is l rounded to 3 decimal places?\nAnswer: 0.093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-10)\/(-15) - -2) + 1\/3. Suppose -2*z - a*s + 553 = 0, 3*s + 557 = -4*z + 1666. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 165925 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 1804844 from -2.\nAnswer: -1804846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 - 7*o - 3. Let l be m(8). Let h(v) = l - 33*v - 16*v - 3. Is h(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 2, -8, -19, -48.\nAnswer: -48, -19, -8, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7 + -16)\/((-18)\/60*-85).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-135)\/18*8\/(-5). Suppose s*k = 5*k + 3850. What is the common denominator of 0 + 1187\/k - (-14)\/77 and 41\/10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -q + 69. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -3*c**3 - 21*c**2 + 5*c + 35. Give r(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3526 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 272439543 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -140.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 117539653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 853597 is divided by 393?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 35\/2 - ((-189)\/(-14) - 13). Suppose 2*f = 5*f - 12. Sort g, -1, f.\nAnswer: -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor o**3 + 51834*o**2 + 103664*o.\nAnswer: o*(o + 2)*(o + 51832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*y + 2*b + 32, -15*b + 11*b = -5*y + 62 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -99359 - 17?\nAnswer: -99371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = n - 3. Let d(a) = -a**2 - a + 19. Let b be d(4). Let p(g) = 170*g - 190. Let j(z) = b*p(z) - 2*f(z). Differentiate j(k) wrt k.\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 145\/74 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*p + 96 - 117, 0*c = -3*c - 2*p + 14 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 = 3*s + 2*q, 314*q = 3*s - 364*q + 677*q + 41 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2207 - 846. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10012586.25 to the nearest one thousand.\nAnswer: 10013000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 2*z - 2*z = -20, 25 = 5*z for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -50.9 - -57.9. Let v = 3 + -6. Which is smaller: k or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28 a factor of 1349572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17688 divided by -4.\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 4*q**2 + 5*q + 4. Let d be 3 + (-12)\/(3 + -1). Let v be f(d). Let l = -9 + v. What is the remainder when 46 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97*k = 101*k - 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-2)\/(-260))\/(2 - 6576\/3260). Let b = -245\/4628 + 3\/89. Let y = b - a. Is -2\/7 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.694222 decades to months.\nAnswer: 1163.30664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 7*t**2 - 7*t + 33. Give i(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 93550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -467*b + f = -471*b + 13, 2*b - 19 = -3*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*u - 5*q, 5*u + 6*q = 3*q - 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(1\/2)*g**20)\/((g\/(g**(-17)*g))\/((g**13*g)\/g)) assuming g is positive.\nAnswer: g**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 3\/172348?\nAnswer: 3\/172348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -c. Let d(x) be the third derivative of 5279*x**4\/24 - 6363*x**2. Give p(d(u)).\nAnswer: -5279*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.02, -5, -12, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = q**2 - 15*q + 7. Let o be l(13). Let d = -5507 + 5507. Let h = 0.1 - -0.1. Which is the nearest to o?  (a) h  (b) d  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9673645637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*(f*f*f**(-2\/11))\/f*f*f**(4\/5))\/((f*f**0)\/(f**(1\/6)\/f)) assuming f is positive.\nAnswer: f**(589\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 47, 6, -63, -160, -285, -438, -619?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 28058 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 0.0905 - 1762833\nAnswer: -1762832.9095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -358442, -358450, -358472, -358514, -358582, -358682, -358820, -359002?\nAnswer: -359234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (642\/(-1605))\/(3\/255)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b + 124 = 5*b + 2*o, 0 = -b + 4*o + 57. Let j = b + -41. Let f = 50 - j. What is the highest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18667 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2120)\/6890)\/(10\/(-39)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (6756 + 0 + 3)\/((-6)\/(-4)). Suppose 0 = 27*r - 21*r - b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2570 divided by 514\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 100120 (base 3) to base 9\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine b so that -12*b**2 + 201*b + 213 = 0.\nAnswer: -1, 71\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z = -2*b + 1056, 19*z - 14*z - 2675 = -5*b. What are the prime factors of b?\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 203 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from cqacc. Give prob of sequence caq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 7*p + 73. Let g be m(23). Suppose 68*u - g = 67*u. Does 39 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i*i**(1\/19))\/i)**(-11)*i**(-27\/2)\/(i\/((i*i**(-42))\/i)))**(-45) assuming i is positive.\nAnswer: i**(97605\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -666*q + 664*q + 10 = 0, -i - 21 = -5*q for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 119 - 53. Round k to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1 + 0. Suppose -10 = 5*i - 2*x + 4*x, -3*i - 6 = -5*x. Let g = 9216.9 + -9217. Which is the nearest to i?  (a) g  (b) p  (c) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2110220 (base 3) to base 5.\nAnswer: -24211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 AM and 8:44 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 77\/4087408 and 55\/4128.\nAnswer: 24524448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -2*j. Suppose 1 = 2*c + q, -q - 23 = -4*c - 6. Let l(i) = -2*i + 7*i + c*i - i. Calculate k(l(u)).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.4  (b) -4\/149  (c) -0.5  (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) + (4*sqrt(165))\/sqrt(3) + sqrt(55))\/(sqrt(30)\/(sqrt(30)\/sqrt(5) + sqrt(6))).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 14396623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 300 + -304. Sort a, -0.4, -10 in increasing order.\nAnswer: -10, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -11*o**2 - 3508*o - 3180.\nAnswer: -(o + 318)*(11*o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert a45b (base 14) to base 5.\nAnswer: 1401210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b + 5792*h - 88 = 5796*h, -4*b = 4*h + 124 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*u + 20, -4*u + 5*u = n - 4. Is ((-34930)\/(-16) - n) + (-2)\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 3*j - 4. Let y(r) = 5*r - 7. Let l(x) = -7*w(x) + 4*y(x). Let t(m) = -3*m**2. Calculate t(l(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 13*g - 9*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**10*x**5)\/((x\/(((x\/(((x\/(x*(x**(-2\/9)*x)\/x*x))\/x)\/x))\/x)\/x*x))\/x*x*(x*x**11)\/x))**(-17) assuming x is positive.\nAnswer: x**(-884\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - n + 245 = 1176, -5*v + 2*n = -4658. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25556254, -51112507, -76668760, -102225013, -127781266?\nAnswer: -153337519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2241648 > 2241651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 955\/68 + -51\/4. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(1\/4)\/t)**(-5\/3) assuming t is positive.\nAnswer: t**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -13*u**3 + 4*u**2 - 16*u - 9. Let c(o) = -3*o**3 + o**2 - 4*o - 2. Give 9*c(x) - 2*n(x).\nAnswer: -x**3 + x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -874, 2, 1, 6\/4783, 0.3?\nAnswer: 6\/4783","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 722245759 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -4998*l + 513. Is x(-37) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.9 and -74.\nAnswer: 66.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 17*c*f - 56134*c + 950110*f**2 + 19 wrt f.\nAnswer: 17*c + 1900220*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -240 = 25*f - 41*f. What is the lowest common multiple of 10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -5  (b) -82178\/7  (c) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -586\/57 + -39244\/171. Let u = -240 - x. What is the smallest value in -5, u, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (15 - 27) + (138400 - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s + 16*s - 432 = 0. Is s\/(-48) + 6928\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -4, 69 in increasing order.\nAnswer: -4, 0, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f + 5*f - 5*f - 4*a - 612 = -662, 4*f - 56 = -4*a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qkqnnnn. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 15 (base 14) to base 7\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 - u. Suppose 5*x - 3*x + 4 = 0. Let f(a) be the first derivative of -a**3 - 3*a**2\/2 + 2*a - 5806. Calculate x*z(d) + f(d).\nAnswer: -5*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -38 + 16*r - 4*r + 11*r + 60 + 92 with respect to r.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(2299) + 0 + sqrt(2299) + sqrt(2299) + -5)*-5 + sqrt(304) + 5 + sqrt(19) + (sqrt(57) - (sqrt(57) + sqrt(912)))\/sqrt(3) + sqrt(19))**2.\nAnswer: -9780*sqrt(19) + 505711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 2*g = j - 15, 5*j = 4*g + 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -0.0593 * 25016\nAnswer: -1483.4488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 91\/174 and -67\/2.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(147) + (1*sqrt(147) + sqrt(147))*5 + sqrt(147))\/(sqrt(504)\/sqrt(8)))\/((sqrt(42)\/(sqrt(12)\/sqrt(2)) + 1*sqrt(63))*4))**2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s + 3*h = h + 1, h + 22 = 4*s. Suppose -1000 = -s*u - 2*j, 5*u - 10*u = -4*j - 970. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*w - 2 - 6. Let b = 0 - w. Is 187\/5 + b\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.974 + 1625680\nAnswer: 1625675.026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -49  (c) -1  (d) -104\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*t = 4*t + 2761. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 3*a**3 + 139*a**2 - 8*a + 6. Let c(q) = -q**3 - 46*q**2 + 2*q - 2. What is -7*c(d) - 2*x(d)?\nAnswer: d**3 + 44*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -w**2 - w + 1. Let c(r) = 0*r + 71*r**2 - 2 + 2*r - 42*r**2 - 27*r**2 - 29*r**2. Determine c(o) + 2*z(o).\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.02 from -0.11427882.\nAnswer: -0.13427882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, 23, 2 in descending order.\nAnswer: 23, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10 - 15 - 2) + 6 - 7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 12787*k + 12787*k - 142 - 4*k**3 in the form y + d*k + x*k**2 + v*k**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 6570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 22.597 + -1.577. Let w = 170.88 + p. Let j = 178 - w. What is j rounded to zero dps?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(209) + 2*sqrt(209)*3))\/(sqrt(33)\/((-1*sqrt(21))\/sqrt(7))).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -78, -143, -202, -255, -302, -343?\n\"Answer: 3*b**2 - 74*b - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(140)\/sqrt(343) + sqrt(2420)*-1)\/(sqrt(576) + 6*sqrt(576)*1 + sqrt(576) - -6*(sqrt(576) - (2*sqrt(576) - sqrt(576) - sqrt(576) - sqrt(576)))).\nAnswer: -19*sqrt(5)\/420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 4999 > 9997\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -6502845 + 1792845. Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10414\/31955 + -4\/2905. Which is the third smallest value?  (a) -2  (b) g  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s - x + 15 + 1 = 0, 12 = 3*s - 3*x. Suppose -5*g - 55 = -5*r, -s*r + 2*g + 54 = -0*r. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 1 + 1)*(4 - 4 + 2)*(-14 + 7*q + 14) to the form l + f*q and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = 68*l + 220. Let c be i(21). Calculate the highest common factor of c and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1871536.68 rounded to the nearest ten thousand?\nAnswer: -1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -165 - -169. Suppose -2*w + 30 = 7*x - 10*x, -2*w = d*x - 44. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uc when two letters picked without replacement from {y: 5, u: 5, c: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 86351460 to the nearest 100000.\nAnswer: 86400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 1270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 12095 and 492.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1))**11*(v*(v*v**(-1)*v)\/v)**(-2\/9))\/(v**(-2\/11)\/(v*v*v**3*v))**(-19) assuming v is positive.\nAnswer: v**(-12739\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 25\/(-5)*(-2)\/(6\/(-3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10 in 25\/6, 0.5, 198?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) be the third derivative of x**7\/560 + 7*x**6\/960 - x**5\/240 - x**4\/24 - 93*x**2. Find t such that n(t) = 0.\nAnswer: -2, -4\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lmbrrommrr. Give prob of picking 1 b, 1 m, and 1 r.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Round 67490.49717 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide 236410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/4 of a year in months?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**3 - 14*h**2 - 17*h + 23. Give q(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**(-1)*y**(2\/11))\/((y*y\/(y**9*y))\/y)**(-10\/9))**(2\/69) assuming y is positive.\nAnswer: y**(-238\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve v**5 + 136*v**4 - 708*v**3 - 410*v**2 + 1843*v + 1410 = 0.\nAnswer: -141, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 1) + (-87 - -85)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 62\/(-10) - (-1)\/5. Let g(l) = -13*l**3 - l**2 - 4*l + 4. Let t be g(p). Round t to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-7*x + 2*x + 3*x)*(-1 + 1 - 1) + 4*x - x + 4*x + 0*x + 0*x - 2*x + 5 - 5 + 2*x + (3*x - 3*x + 2*x)*(-5 + 2 + 1) to the form q + h*x and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 10 and 46.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -260*q + 12. Let y be i(-3). Let u = y + -426. Calculate the remainder when u is divided by 46.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -19\/3 in -84, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (2 + -2 - (-1 + -7)) + -10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7524 is divided by 47.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -388\/1665 - -2\/185. Which is the closest to -1\/3?  (a) j  (b) -5  (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 78471, 156299, 234127, 311955, 389783, 467611?\n\"Answer: 77828*r + 643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (15\/(-15))\/(2\/(-4)). Suppose n - q*n = 5. Let j(h) = -h**3 - 5*h**2 - 4*h - 15. Let y be j(n). Solve z = -v, v = 5*v + 5*z - y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (84\/(-24))\/((-6)\/4*(-5)\/(-82710))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.3 or -411?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(-1\/3)*d)\/d)**(-5\/19)*(d*d\/((d**(-2\/5)*d)\/d))**(-18))\/((d*d**(-1\/4))**(6\/11)\/(d**(-2\/5)*d*d*d\/(d\/(d*(d\/d**(-5))\/d)))) assuming d is positive.\nAnswer: d**(-227977\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-m + 1 - 1)*(1 - 1 - 2*m)*(-29283*m - 16157*m - 5547*m) to a*m + o*m**2 + b + d*m**3 and give d.\nAnswer: -101974","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/2 - 3\/6. Suppose 4*y + n*q = 5, 2*y - q + 10 = -5*q. Let o(f) = 2*f - 10. Let m be o(8). Solve -d - d = -2*t + m, -y*d + 20 = 2*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) = 24*q + 30. Let p(r) = 10*r + 12. Let b(k) = 10*p(k) - 4*w(k). Let t(y) = 28*y + 29 - 110*y - 29. Calculate b(t(v)).\nAnswer: -328*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18805 is divided by 3752?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4912 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(4*-3*(5 + -1*(sqrt(13) - (sqrt(208) + 0)) + (-2*sqrt(52)*1)\/sqrt(4)))**2.\nAnswer: -10944 - 2880*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 22 divide 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*l + 9*l**3 - 15 + 20*l**3 + 5 + 8 + 4 to the form i + p*l**3 + m*l + b*l**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3799.999852832 - 3800. Round x to six dps.\nAnswer: -0.000147","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2393, 4541, 6691, 8843, 10997, 13153?\nAnswer: 15311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, d: 1, j: 2, n: 2, r: 2, i: 1}. Give prob of sequence in.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 2*s + 1)*(-2*s + 5*s - 2*s) + s + 2*s**2 - s)*(5 - 6 + 5 + 1 + 3 - 3 - 1 - 3 + 3 + (-3 - 2 + 4)*(-1 - 4 + 4) - 1 - 1 + 0).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 124516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*s = 12*s + 4*l - 1345, 0 = -3*l - 3. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 378024\/14 - 2 - (-28)\/98. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 3372418647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -152.5 - -153. Let s = -113\/3 - -38. Let y = 0 + -5. Which is the third biggest value?  (a) l  (b) y  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 4*v - 1. Suppose -4 = -7*q + 24. Suppose b = 2*k - q, -k - b + 12 = b. Suppose -3*l + 5 = -k. What is x(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1.019 - -1.019. What is the nearest to h in -1\/7, 118, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -3*r**2 + 9*r + 7. Let y(k) = 6*k. Give v(y(n)).\nAnswer: -108*n**2 + 54*n + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*z**2 - 1447050*z - 1447070*z + 2894118*z.\nAnswer: -2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 1*(-4)\/(-1) + -2. Solve 0 = -4*p + 5*l - 2*l + 5, -5*l + 15 = -g*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.37 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 541 + -537. Suppose -16 = b*l, 6*q + 5172 = 10*q + l. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4.3, -5, -0.129?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 5\/46, -1\/8 in decreasing order.\nAnswer: 0.3, 5\/46, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of 1\/30*x**5 - 2\/3*x**3 + 5\/12*x**4 + 1\/84*x**8 + 2*x**2 - 14 + 0*x - 7\/60*x**6 + 1\/105*x**7. Let m(l) = 0. What is l?\nAnswer: -2, -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o + 8 = 4*o. Let u be (-4)\/(-22) - (-90)\/110. Is (6 + 61)*(o - u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 77 divided by 33459.\nAnswer: 77\/33459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14006 is divided by 280.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = o**2 - 1659*o. Let w(s) = -4*s - 2. Let i(h) = 15*h + 6. Let y(j) = i(j) + 3*w(j). Determine q(y(b)).\nAnswer: 9*b**2 - 4977*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -76125*l**2 - 1421*l. Let b(r) = -268*r**2 - 5*r. Let u(o) = 1421*b(o) - 5*t(o). Let i(p) = -2*p + 0 - 9 + 9. Determine i(u(g)).\nAnswer: 406*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 26*s = 1145926 - 1144938 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.41263707 to four decimal places.\nAnswer: 0.4126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from zezzzzzzzzzzezzzzzz.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 m and 3 t when four letters picked without replacement from {t: 9, m: 10}?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -182 + 262. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 15, -3, -5, 20, 4 in descending order.\nAnswer: 20, 15, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75660.\nAnswer: 2, 3, 5, 13, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -u**3*w - 118959*u**3 - 2*u*w + 18178*w wrt w.\nAnswer: -u**3 - 2*u + 18178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (sqrt(1872) + (sqrt(1872) - (0 + sqrt(1872) + -2)) - sqrt(1872)) + ((2 + sqrt(1872))*-5 - sqrt(1872)) + -6*-2*(3 + sqrt(1872)))**2.\nAnswer: 4320*sqrt(13) + 68292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -30, -1178, 31.\nAnswer: -1178, -30, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 6 + 2c?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -67*k - 93*k + 38*k - 976 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**7*f*f\/(f*f\/(f*f*f\/(f\/(f**(-2\/33)\/f)*f))))\/(((f*((f\/f**(-2)*f*f)\/f*f)\/f*f)\/f)\/((f*f**6)\/f)))**22)**34 assuming f is positive.\nAnswer: f**(17816\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**3\/5 + 1359604*y**2\/5.\nAnswer: 2*y**2*(y + 679802)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -9.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(-28 - 19 + 29)*((-12 + 19 + 17)*(2 + 3 - 3) + (1 - 5 + 2)*(0 + 0 + 1) - 5 + 3 + 4)*(-2*u + 3*u + 3*u).\nAnswer: 3456*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 90.14903 grams?\nAnswer: 0.09014903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 1 = 6 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 0, -29, -2\/21, -6\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 2\/7, 0.5, 1753.586?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 281*z = -115*z + 5*z + 62*z - 14805 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d + 7 - 31 = 5*q, 3*d - 2*q - 11 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -444 - -445. Let j be 15\/20 + (-21)\/(-4). Let s(i) = -w + j - i - 4. What is s(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = 4*i**2 + 7*i - 4. Let w(t) = 16*t**2 + 29*t - 16. Let q(x) = 9*n(x) - 2*w(x). Let m be q(-4). Suppose 0 = 4*j - 0*j + m. Round j to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 162 - 162. Let f be -3 + l + 5 - (12 + -5). Put f, 9, -4 in descending order.\nAnswer: 9, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -3*2\/(-12)*0. Let f = -1 + g. Let h be (1 - (-2 - -4))*f. Put 2\/11, h, 0.3 in decreasing order.\nAnswer: h, 0.3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2547105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20*(-459)\/(-4335))\/((-9)\/6)?\nAnswer: 24\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1080\/216*((-28)\/(-105))\/((-10)\/(-615))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 32394?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 4, w: 2}. What is prob of sequence wff?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3446*j + 371*j + 63649 = 3764*j + 350887 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 23 + -8 + 31 + -34 + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.35004388 to two dps.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7\/9, -3, 1 in decreasing order.\nAnswer: 1, 7\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.3 in -1, 7.4, -1\/5, 18, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yyuypyyuymyyy. Give prob of sequence ppy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(19) - (2 + sqrt(684))**2) + 0 - ((-5 + (sqrt(1900) - (0 + sqrt(1900))))**2 + sqrt(1900) + sqrt(1900)).\nAnswer: -713 - 43*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a week in minutes?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 170490584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/10*(48\/(-40))\/((-45)\/(-10))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10d35 (base 14) to base 12.\nAnswer: -1b897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 162 - -39. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2, 10, 30, 68, 130, 222, 350?\n\"Answer: c**3 + c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5482 minus 39.51?\nAnswer: -5521.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1008*a + 449*a + 296*a)*(-3*a**3 - 4*a**3 - a**3) as v*a**4 + s*a**3 + w*a + m*a**2 + n and give v.\nAnswer: 2104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -43, -84, -125, -166?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1956 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*((sqrt(22) - sqrt(88)) + sqrt(22)))\/((sqrt(10)*-3)\/sqrt(5)) - (-2 + (sqrt(1584) - (-4 + sqrt(1584)*2))*3))**2.\nAnswer: -720*sqrt(11) + 14356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -12*s**3 + s + s**2 - 16*s**3 + 0*s. Let z be 5*(-5)\/(-50)*-2. Let v be d(z). Solve a - g - 1 = -0*a, -4*a = 4*g + v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5 = -15. Suppose d*z - 9 = 4*c + 3, 2*z - 3*c = 10. Put 5, 1, z in decreasing order.\nAnswer: 5, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14563766 is divided by 77.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 23*n**2. Let s(f) = 4*f + 6. Let x(q) = -10 - 23 - 101*q + 163*q - 82*q. Let d(a) = -22*s(a) - 4*x(a). What is d(b(p))?\nAnswer: -184*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 10422624 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.4 + 6.4. Let m = 8\/5 - 29\/15. Which is smaller: f or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (3 - 2)*(-9)\/21. Let r = 1\/8 - 5\/8. What is the nearest to 1\/3 in -2\/9, r, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 minus -29857507100?\nAnswer: 29857507103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5 + (-3)\/1 + 9 - -2. Suppose -16*s + 321 = -v*s. Let j = s + -108. Let p(l) = 17*l**2 + l. Determine p(j).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.6 - -0.65. Let o = -0.15 - r. Suppose 2*n = -n + 6. Which is bigger: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8 + 9*a**3 + 4*a**2 - 11*a**3 - 3*a**2 + a**2 as x*a + n + u*a**2 + f*a**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5 (base 8) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-3)\/(-9))\/(10\/20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 186 - 2416\/13. Which is the third smallest value?  (a) g  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -377 - -281.4. Let b = l - 1.4. Let q = -96.9 - b. Is 1\/7 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 158*d**3 + 25*d**2 - 3*d. Let p(r) = 159*r**3 + 24*r**2 - 2*r. Let n(q) = -2*a(q) + 3*p(q). What is the third derivative of n(m) wrt m?\nAnswer: 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*u - 3 + 12. Suppose -3*z + 0*z + 2 = 5*i, i + u*z - 10 = 0. Let g be (-15)\/i + (-9)\/(-18). Solve -g = -0*b - 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 6*n**2 + 7*n - 5. Let o be p(5). Suppose -2*a = a. Suppose a = o*v - 25. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 18*g. Suppose 2*j + 84 = -2*f, -6*j + 4*f = -2*j + 200. Is 0 + j\/(-2) + g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7287.7 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) = 5*u**2 - u. Let i be b(1). Suppose -i*g - 77 = -11*g. What is the remainder when 31 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*u + 2*u + 2*u)*(1 - 1 + 3)*(-3*u + 6*u - 2*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 400365.6 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*-5*(-2)\/85.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*h**3 + 2*h**3 + h**3 + 19 - 131 + 5*h**3 + h**2 to the form p + x*h**2 + c*h**3 + m*h and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3289, 6602, 9915, 13228?\nAnswer: 16541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t**3 + 115*t**2 = 0. Calculate t.\nAnswer: 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4809 - 6950. Let h = d + 2140.9998941. What is h rounded to six decimal places?\nAnswer: -0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {a: 5, v: 1, j: 3, t: 1, g: 4}. Give prob of sequence tj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is -2890 less than -2888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (2 + 0)*(4 + -8 + 5). Let s(w) = 2*w + 3. Let x(y) = 3*y + 2. Let f(t) = g*s(t) - 3*x(t). Let c(b) = -6*b**2. Give f(c(q)).\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 75.5953 micrometers to nanometers.\nAnswer: 75595.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7685 + 7735. Solve 0 = 5*n + 4*w - x + 20, 2*w = n + 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w + 0*w - m - 129 = 0, -m = w + 36. Let s = w + 49. Let p(u) = 3*u**2 + u - 3. Let n be p(3). Calculate the highest common factor of s and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 42*z - 646. Let l(d) = 16*d - 215. What is 8*l(j) - 3*o(j)?\nAnswer: 2*j + 218","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0721 and 5606?\nAnswer: 404.1926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -142 + 233. Calculate the highest common divisor of 4277 and d.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 17824.473 - 17837. Round n to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 42003 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -2\/11*a**2 - 20\/11*a - 32\/11 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -218276 and -9.\nAnswer: 1964484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -2  (b) -4\/5  (c) 1  (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 11 - 15 - (1 + -9) - (33 + -23).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 585 minutes after 2:45 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 2*j - 1 = -3, -4*j = -3*i + 22. Suppose i*k + 12 = 82. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 11890 or 11891?\nAnswer: 11891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -0.1 or -0.06852?\nAnswer: -0.06852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 2\/7, 2\/3, 40, -1\/9, -41?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 342 + -331. Suppose -q*r = -14*r + 741. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = -2*c**3 - 2*c**2 + 2*c + 4. Suppose -42 = 4*v + 5*b, 3*b = -30*v + 33*v - 9. What is q(v)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 7.2. What is o rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-14))\/((-32)\/3136*14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1)\/(i*i**(-1)\/i))**(-1\/7) assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 665 minutes after 1:15 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nnnknnnnkaanntnanj. What is prob of sequence jt?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 893.673 millennia in decades?\nAnswer: 89367.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1330 - -4069. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -53 - -149. Let f = 1915 - 1826.7. Let h = w - f. Round h to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -360 + 359.96968. Let s = -0.05 - -0.02. Let x = t - s. Round x to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2478\/((-4307)\/73) - -86\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 31*h**3 + 2*h - 3. Let o be l(2). Suppose -2*i + o = -1393. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 80.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (5 - (-6 - -15))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 357 - 395. Let j be a\/(-9) - (-14)\/(-63). Solve 4*r = 5*w - 25, 2*r - j*w = r - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1)\/(-1) - -3) + (-60 - -23). Let h be l\/(-7) + (220\/35 - 6). Suppose -3*c + h*q - 11 = 0, -2*q + 19 = c + 2*q. Solve -c*d = d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 10937 = -3*z + 2741, 0 = j + 2*z - 2720. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.11 - -0.01. Let i = -1 - 1. Let p be (i - -4)\/(10\/4). Which is the second biggest value?  (a) -0.5  (b) p  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -93\/5558 and 37\/37740408.\nAnswer: 264182856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*n**3*y**3 + 120*n**3*y**2 - 259*n**3*y + n*y**3 + 2*n*y wrt y.\nAnswer: 12*n**3*y + 240*n**3 + 6*n*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -6148 (base 10) to base 13\nAnswer: -2a4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -210 - -210.1. Let k = -385 + 4229\/11. Which is the nearest to k?  (a) -4  (b) 0.3  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n, given that 0 + 1\/3*n**2 + 2\/3*n = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - q**5 + (-3*q - 4*q + 5*q)*(3*q - 3*q - q**4).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*n = -20*n + 3*h + 657, -2*h + 4 = 0. What are the prime factors of n?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (16\/12)\/((-4)\/(-6)). Suppose p*c - 4 = k - 1, 2*c + 5*k = 33. What is the units digit of (0 - 0) + c - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s**2 + 3*s - 4. Let x be g(3). Let l be (x\/(0 + -5))\/2. Suppose -5*c + 1 + l = 0. Solve c + 3 = -v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 168 and 21560.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 98  (b) -1\/2  (c) 30824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 7013 (base 12) in base 13?\nAnswer: 5688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -850 = -448*d + 431*d. Calculate the remainder when 80 is divided by d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -60 - -62. Solve -g*l - 30 = 8*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -3. Let o(k) = 1507*k - 15066. Let f be o(10). Solve 0 = -l*j + f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -125, -144, -163, -182, -201, -220?\nAnswer: -239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3*(-3)\/(-21)*1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*m - 4*m - 14754 + 45574. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-7)\/((-32)\/48 - (-1)\/3). Solve -12 = -3*u - 7*k + 4*k, 0 = 4*u - k - p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence akkk when four letters picked without replacement from aaakkaaakkaakaaa?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bccr when four letters picked without replacement from {k: 1, r: 2, l: 4, v: 3, c: 3, b: 3}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42*x = -215 - 205 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -6901 - -10531. Suppose 2*n - w = -8*n. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -62, -69, -1\/26, -2\/9, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) be the second derivative of -1\/42*y**7 + 4 + 0*y**2 - 13\/30*y**6 + 0*y**3 - 2*y + 0*y**5 - 35\/4*y**4. What is the third derivative of c(m) wrt m?\nAnswer: -60*m**2 - 312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-68)\/(-51))\/((-22)\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7 + 12. Suppose -i*s + 15 = -0*s. What is the common denominator of (s\/5)\/((-4)\/(-230)) and -51\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3542406*t**2 + 1459393*t wrt t.\nAnswer: 7084812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 + o**2 - 2. Let s(h) = -5*h**3 + 5*h**2 + h - 11. Suppose m - 3*m = 5*k - 53, 0 = -m - 1. What is k*w(l) - 2*s(l)?\nAnswer: -l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r + 2 - 10. Is r < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*o + 414728 = 45444. Calculate the remainder when o is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 12 - 17. Calculate the common denominator of 1*t\/(-4)*22 and 7\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**2 - t. Let j(v) = 4*v**2 - 5*v - 1. Let z be -2 + 3\/(-1*3). Let p be (30\/8)\/(5\/20). Let a(r) = p*g(r) + z*j(r). Differentiate a(s) wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25831 - 180975 = -1892*m for m.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14089 - -20112. What is the highest common divisor of 38 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -5*b - 12. Let p(r) = -r - 1. Let c(i) = f(i) - 4*p(i). What is c(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -36826 and 21651?\nAnswer: -797319726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-29)\/116)\/((-15)\/(-12)*6\/(-10)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-87)\/(-58)*((-28)\/6 - -2). Let w be (5 + 32\/m)\/((-15)\/10). Let v(j) = 2 - 1 - 4*j + 0. Determine v(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 74606\/6205 + -10 + 1 + (-9)\/3.\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*q + 174 = 46. Let t(v) = v**2 + 17*v + 90. Let f be t(q). Solve 0 = -77*n + f*n - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/15 + 12\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5 and 0.02984844?\nAnswer: -0.1492422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*v**2 + 6*v**2 - 7*v**2)*(-90*v + 10*v - 36*v)*(4*v - 4*v + 2*v).\nAnswer: 1160*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -49220*w + 414. Let r(f) = 1186*f - 10. Let z(s) = 207*r(s) + 5*v(s). Let m(q) = 5*q. What is z(m(n))?\nAnswer: -2990*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h = -h. Suppose 0 = -h*j - 3*j + 9. Suppose 138 = -0*g + 2*g + 2*z, 5*z = -j*g + 211. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vva when three letters picked without replacement from {a: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hzzjjzzhhjhhhzzzz. What is prob of picking 3 z and 1 j?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -9 + 6 + 10 - (12 + -2 + 3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (15\/10*2)\/1. Let n(g) = -60*g**2 - 17*g**3 + 65*g**2 - 1 + 18*g**o. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -12465736 bigger than -12465731?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 792 and 2256?\nAnswer: 74448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 61\nAnswer: -3\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -w**3 + 16*w**2 - 28*w + 1. What is u(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 24 = -9. Let f(w) be the third derivative of -3*w**2 + 0*w**z - 1\/270*w**5 + 0 - 1\/108*w**4 + 0*w. Determine y so that f(y) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 3*h - 5. Let r(o) = o**2 - o + 2. What is -2*r(i) - x(i)?\nAnswer: -2*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-7))**(-1\/17) assuming v is positive.\nAnswer: v**(7\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18871246 and 94356230?\nAnswer: 94356230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1 + 4. Suppose 2*s = -0*h + 3*h - 2180232, -2180232 = -3*h - x*s. Suppose -3*v - 143256 = h. Round v to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 524 minutes before 10:30 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -35 + 40. Suppose -4*f - u = -4056, -d*f + 5070 = 7*u - 3*u. Suppose 0 = -4*y - 9*y + f. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the second derivative of -y**8\/28 + y**4\/8 - 5*y**2\/2 + 8*y. Let j(g) be the first derivative of h(g). What is the second derivative of j(x) wrt x?\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = -19*w**2 + 87 - 13 + 20 + 1. Let a(s) = 1. Suppose -4*f = -3*f + l, 2*f - 5*l = -7. Let h(o) = f*z(o) + 95*a(o). Let c(i) = -i**2. Calculate h(c(q)).\nAnswer: 19*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -z - 24 + 26. Let g = 39 + -27. Which is the third smallest value?  (a) g  (b) z  (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(26) + sqrt(78)\/sqrt(3))*-2)\/sqrt(2) + -3)**2.\nAnswer: 24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 - -1) + (-16)\/(-4). Suppose 0 = 3*m - m + b*v - 24, -8 = -4*m + 4*v. Let d be ((-4)\/m)\/(6 + -4). What is the closest to d in -4\/17, 3, 1?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 11821, 47204, 106181, 188752, 294917, 424676?\n\"Answer: 11797*k**2 - 8*k + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -111100000110011000 - -10?\nAnswer: -111100000110010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2151*w = 1670*w - 3848 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 3)*(-4 + 1 + 1)*(-6 + 6 - c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*c + 7428 = -14*c. Let d = c - 1038. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -87804191 = 6*n + 45815809. Round n to the nearest 1000000.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8905757 is divided by 4452874.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -2061*v. Let l(h) = h - 9. Determine l(p(k)).\nAnswer: -2061*k - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19888701 divided by -1.\nAnswer: 19888701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a = f - 324, 2*f - 2*a = -3*a + 684. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 30 divide 18078043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1191, -4, 1, -1, -5, 5 in descending order.\nAnswer: 1191, 5, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 205275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 + 15 + 6 + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 633 + -360. Let d = 273 - q. Let k be (-2)\/3 + (-5 - -5). Are d and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 3\/4, 0.15, 1, -4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = 42*t**2 - t + 1. What is z(-2)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.7 + 4.7. Let j = -9.2 - -8.8. What is the third biggest value in -2\/19, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*g**3 + 175*g**2 + 1875*g + 5625.\nAnswer: 5*(g + 5)*(g + 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Do 3578 and -65569 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 830237.\nAnswer: 830237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 7440 and 1008?\nAnswer: 156240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -22481\/6 + 3765. Find the common denominator of b and -59\/42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*c + 119 - 43. Let l(h) = 2*h - 20. Let z be l(c). Solve 2*d = -2*x + 6, -5*x - z - 17 = -5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 1 - 5 = 0. Suppose 5*h - 2*r - 268 = -12, -102 = -o*h + r. Suppose -h = -2*z + 32. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 391 + -1957\/5. Put -0.3, 2, 2\/15, q in descending order.\nAnswer: 2, 2\/15, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8206 - 8204. Solve 0 = -18*i + 88 + k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 8:59 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 136*o**2 + 200*o**2 + 673734*o - 673734*o.\nAnswer: 336*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.0326 and 0.3.\nAnswer: -0.00978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.21 + 76700.\nAnswer: 76700.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*p + 2*v + 359, 5*p - 3*v + 0*v = -374. Let l = p - -71. Calculate the common denominator of l*(-66)\/(-64) - (1 - -3) and 113\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2.9 - -84.9. Let x = f + -142. Let s = x + 59.94. Which is the closest to 1\/2?  (a) 1\/3  (b) s  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor n**2 + 1806966*n + 816281531289.\nAnswer: (n + 903483)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 5. Suppose 2*c - 1 = 3*n, 4*n + 4 = -3*c + 7*c. Let g(b) = 0*b + 0*b - d*b + 0*b**2 + 2 + b**c. Give g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3 + (-72)\/1485*-10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 618898 - 1426898. Round j to the nearest 10000.\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 31 = -19. Suppose v + 4*p = q, 5 = p + 3. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4377821 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 37cb7 + -5?\nAnswer: 37cb2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 153794968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -6. Suppose s*h - 6 = 2*h. What is the first derivative of -1 - 4*d + 3*d + h wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*x**2 - 7*x + 6 + x**4 + 0 - 11 + 6 + x**3 to the form s*x**4 + z*x + k + a*x**3 + o*x**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = o + 18, -o - 1 = 5*b + 17. Let a be 2\/(-7) - o\/63. Let s(d) = -d**2 + d - 2. Calculate s(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -5*r**2 + 15*r - 26. Let j(f) = 5*f**2 - 14*f + 26. Let p(a) = 7*j(a) + 6*u(a). Does 29 divide p(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -44*h + 20. Let p be k(6). Let r = 494 + p. Suppose 13*c = 8*c + r. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 34*y**2 + 3*y - 7. What is the hundreds digit of g(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*g**2*x**2 + g**2*x - 119*g**2 + 3265*g*x**2 - 18564*g - 25*x**3 - 4*x**2 - 2*x wrt x.\nAnswer: 4*g**2 + 6530*g - 150*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -154928 divided by -320?\nAnswer: 9683\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72*x - 12132 + 12492 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) be the third derivative of -t**5\/20 + t**4 - 14*t**3\/3 + 4845*t**2 - 2*t. Determine l(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, p: 1}. What is prob of sequence hs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - d = 18. Let g(t) = -2*t. Let c(f) be the first derivative of 5*f**2\/2 + 1. Determine d*g(q) - 4*c(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -438*m + 2*m**2 + 0*m**2 + 446*m. Let w be q(-4). Which is greater: w or -1\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = -7*p**2 + 73*p - 26. Let y be w(10). Let m(f) = -f**2 - 4*f + 1. Let v = 6 + -10. Let j be m(v). What is the greatest common factor of y and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m + 180*y - 8 = 179*y + 12, -2*m = 3*y + 45 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r - 31*r - 9*r)*(-2*r - r + r + (4*r - r - r)*(3 - 4 + 0) + r - r + r - 4*r + 5*r - 2*r - 1 + 1 + r + 2*r - 3*r + 0*r).\nAnswer: 172*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -13509 or -13508?\nAnswer: -13508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8170749.\nAnswer: 3, 109, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, -1, 1, 29, -140 in ascending order.\nAnswer: -140, -1, 1, 21, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k - 3 = -63 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = k**3 - 3*k**2 - k + 2. Calculate the remainder when s(5) is divided by 3 + (3 - 6) + 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -379560 < 399?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.02 - 1.71256.\nAnswer: -1.73256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -z - 3*z + 2*d, 0 = 3*z - 5*d - 19. Let b = 1 - z. Suppose b*s + 6 = -3*l, -5*s + 26 = -2*s - 5*l. Calculate the remainder when 6 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/9  (b) 0  (c) -0.3  (d) 481  (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = -3*p + 39. Let w(s) = 1. Let d(i) = -q(i) + 18*w(i). Let u be d(13). Suppose -2*r - u = -3*r. Calculate the remainder when r is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 28432 + -28289. Let z = 0 - -13. Calculate the greatest common divisor of j and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((o\/(o**(-1)*o))**(-12))**48)**(-9\/4))**(14\/15) assuming o is positive.\nAnswer: o**(6048\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 2, -5, 15, 10, -0.2, 165?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3417 + -3415. Let u = 1 + 4. Which is the closest to s?  (a) u  (b) -2\/5  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -100100101111011010101010 (base 2) in base 9?\nAnswer: -20108717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1 - -0.7. What is the biggest value in 0.06, 0.5, b?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-9)\/2)\/(-3))\/(50\/(-100))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/4 in -2, -40, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((3840\/(-70))\/(-16))\/(-3*(-2)\/21).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = 5*j. Let p(u) = -u. Let y(c) = 4*f(c) + 22*p(c). Let x(q) = -2*q. What is y(x(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 5*-5 + 20\/(-4)*-1. Calculate the common denominator of -15\/28 and 58\/116*(-83)\/t.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.16450295 times 0.5?\nAnswer: 0.082251475","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 29 = 5*c - 6, -3*c + 0*c + 19 = -14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 11*l**2 + 6*l + 4. Let u(y) = 2*y**2 + y + 1. Let d be (-7)\/(7\/(-2)) - -2. Let k(r) = d*u(r) - h(r). Let q(c) = -2*c. Determine q(k(b)).\nAnswer: 6*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 279*t + 16*t**3 - 5*t**3 - t**3 + 288*t - 858*t + 275*t.\nAnswer: 10*t**3 - 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 16938*f**6 + 9*f**4 - 186*f**3 + 152370084*f**2 wrt f.\nAnswer: 2032560*f**3 + 216*f - 1116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*y - 0*y. Suppose -3*w + 10 = y. Which is greater: w or -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -394.813 - -395. Let i = 0.187000452 - n. What is i rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 230*u + 15*u + 2*u + 36*u.\nAnswer: 283*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 122270 and 1970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from bbbbbbbbxxbbb.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195 = 2*d - 5*a, 8*d - 11*d - a = 335. Let g = -59 - d. Calculate the lowest common multiple of 6 and g.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 5329.00001658 - 5329. What is b rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11.68 + 12.18. What is the smallest value in 6, x, 11, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**9\/v)\/(v\/v**13))**(1\/6)\/((v*v**(-1))**14\/((v*v**(-2\/19)*v*v)\/v**6)) assuming v is positive.\nAnswer: v**(13\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -7*h**3*m - 18*h**3*w**3 + 595*h**2*m*w**3 - 15*h**2*w + 2*h*w**3 + 4*w**2 wrt m?\nAnswer: -7*h**3 + 595*h**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9 + 63. Let j = -10 - -28. Let g be (2 - 0)\/(4\/j). Calculate the greatest common divisor of g and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30*v = 34*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = 5*v, 38*b - v - 5 = 39*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (18 + 9 - 1)*(-29 + 23 + 13)*(-u**2 + 1 - 1 + (-1 - 2 + 2)*(-1 + 1 + u**2)).\nAnswer: -364*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17*z**2 - 22*z**2 + 63*z**2 - 77*z - 20*z**2 - 67*z.\nAnswer: 4*z*(z - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3 + -3.2. Let w = 0.4 + -0.2. Which is the second biggest value?  (a) -4\/5  (b) q  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/8)\/((-99)\/(-88)). What is the second biggest value in 0, 2\/11, y?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -3426*j**2 - 18*j - 222. Let m be v(-11). What is m rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + 11 - 2 - (32 - 27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3454667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = -n + 258. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -202.8 - -203.2. Put -1\/6, z, 1\/5, 2 in decreasing order.\nAnswer: 2, z, 1\/5, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.35 + -0.05. Let n = -1.1 - -0.6. Let q = n + y. Which is the smallest value?  (a) 2  (b) q  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 3*y = 15543, 3*n - 4*y - 2443 - 13128 = 0. Suppose 5*f - 3*f - 5195 = -3*j, -3*j - 4*f = -n. Let r = j + -584. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = -272*h. Let z(f) = 257*f - 1. What is -4*b(a) - 5*z(a)?\nAnswer: -197*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2874 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zqhpm. Give prob of sequence qpm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - 7762?\nAnswer: -776b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 693507 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 1 + 8 + 3 - 8*l**3 + 1 wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 25*o**2 + 22*o**2 - 1 - 4220*o + 4218*o. Suppose 12 = 4*i - 3*k - k, 2*i = k + 2. What are the prime factors of m(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) be the first derivative of -j**4\/4 + 7*j**3\/3 - 3*j**2 - 2*j + 17. Suppose 31 = f - 2*v, 4*v = -3*f + 51 + 42. Let o = f + -25. Give i(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4059796687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5650?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 2011210 (base 3) to base 8\nAnswer: 3063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w = -2*w - 2049. Suppose m - w = -0*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that -2*q**4 - 8148*q**3 - 32560*q**2 = 0.\nAnswer: -4070, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 102 divide 3551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*j = -11, 0 = -k + 3*j + 97 - 85 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 2365685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (796\/2388)\/((6\/(-117))\/(2\/1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 1961762135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2066, 2065, 2064, 2063, 2062, 2061?\n\"Answer: -h + 2067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1988 and 200859?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 34, -3, -1\/5, 3 in descending order.\nAnswer: 34, 3, -1\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express ((5 - 2 - 2)*(-3 + 1 + 1) + 252 + 109 - 28 + 283)*(-21*l + 28*l - 1 - 40*l) in the form x + y*l and give y.\nAnswer: -20295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -1914*d**4 + 15008?\nAnswer: -7656*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2 - 3\/2. Let z = 3.0479 - 0.0479. Let s = -0.2 - -0.3. What is the nearest to s in z, j, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -4*j**2 - 10*j + 1. Let a(i) = 3*i**2 + 10*i - 2. Let x(h) = -5*a(h) - 4*b(h). Let q be 2\/5 + (204\/15 - 4). What is the units digit of x(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 9*s**2 - 223*s - 118. Let y be c(26). Calculate the greatest common factor of 38472 and y.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 131 - 68 + 7*k**2 - 66 in the form l*k**2 + p + x*k and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**3 - 11*o**2 + 11*o - 12. Let l be x(-12). Suppose l = -3*q - 12. Sort q, 3, 5 in descending order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 825985*l + 217156.\nAnswer: 825985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38*k = -87*k + 424487. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -320403 (base 6) in base 12?\nAnswer: -13103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -87\/34 and -107\/102.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.2 + -0.2. Let w = 0.178 + 0.822. Which is the nearest to w?  (a) -4\/5  (b) 3  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34405641750 rounded to the nearest one million?\nAnswer: 34406000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -1243*d**3*y**2 - 2*d**3*y - d**3 + 3*d*y**2 + 2*d*y + 90*d wrt d?\nAnswer: -7458*d*y**2 - 12*d*y - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 50 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1695532?\nAnswer: 2, 423883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -43. Suppose k + 2*k = m. Let z(i) = -i**2 + 10*i + 1. Let f be z(k). Solve -4*d + 6*d + f = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -18*t**2. Let g(m) = -17*m**2 + 8*m + 8. Let j(u) = 2*u**2 - u - 1. Let d(z) = -3*g(z) - 24*j(z). Give d(s(p)).\nAnswer: 972*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1473 + -1473. Let a be 2 - ((-94)\/(-102) - -1). Is a != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-11)*d**(-5\/4)*d*d)**(-21) assuming d is positive.\nAnswer: d**(861\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 6294.82161 rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nbbnbnbbbbbbnbnnon?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 + m - 2 + (6 - 2 - 2)*(-4*m - 2*m + m) - 2*m - 4 + 4 + 3*m - 6*m + 4*m - 6*m - 13*m + 6*m.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 26*t**2 - 2*t. Let a be q(2). Suppose -l = -5*l + 2*j + a, 4*l - 4*j = 96. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/13, 4, 692\/5?\nAnswer: 692\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 2*i. Let b(m) = m**3 - 7*m**2 + 2. Let p = -9 + 16. Let u be b(p). Solve z + 4 = -u*y, -y + 4 = -i*y + 2*z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(200)\/(sqrt(10) - (sqrt(10) - sqrt(10)*-2)))**2 - -6*2*sqrt(20)) + 2.\nAnswer: 7 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8458 < -5519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1067 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) 199  (c) 0.544  (d) 61  (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 666*i. Let r(g) = -23*g. Suppose 0*f + 2*l - 428 = -3*f, l - 142 = -f. Determine f*r(x) + 5*h(x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) -3  (b) -0.2  (c) 0.3  (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*u = 3*u + 21. Let x be 2\/(-10) - 164\/(-20). Suppose -19 = -3*s + x. Is s at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 18420 divided by 921.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -2*f**3 - 7*f**2 - 10*f - 6. Let p be y(-5). Suppose 0 = -5*m + p - 39. Solve 2*h - m = -2*i, -i - h + 4*h = 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(j) = -j + 7. Let w be i(3). Let c = -0.516 - -9.516. Sort c, -3\/5, w, 0.5 in decreasing order.\nAnswer: c, w, 0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from caaacagaaaamaeamm. What is prob of picking 1 m and 1 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -56\/3015 and -48.\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -5, -1, -7 in descending order.\nAnswer: 4, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*k - 15*k - 29*k + (4*k - 2*k + 0*k)*(-3 + 0 + 5).\nAnswer: -34*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1 + sqrt(2299) - sqrt(2299)) + -1)**2 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-12)\/69)\/((-67704)\/8372).\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 2 = i. Let n(p) be the first derivative of 1\/2*p**2 + 3*p - i. Determine n(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 107 - 107 + 2*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 2624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -4900, -4899, -4898, -4897, -4896?\n\"Answer: w - 4901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) be the third derivative of w**7\/1050 + w**6\/300 - w**5\/300 - w**4\/60 - 5*w**2. Factor g(t).\nAnswer: t*(t - 1)*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 52 = 4*i, -1266*i = -1205*i + 2*u - 353 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 1\/2  (b) -4\/77  (c) 20  (d) -0.1  (e) 4  (f) -165\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 731 - (-36)\/(-6) - -4. Suppose 0 = 8*r - z + 673. Solve 8*k = r + 25 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -206 + 206 - 194*d + (3*d - 3*d + d)*(-4 - 2 + 4) + 4*d + 0*d + 2*d.\nAnswer: -190*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9156, -5, 2, 4, -4 in decreasing order.\nAnswer: 4, 2, -4, -5, -9156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:05 PM and 3:25 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0 + (7965\/2690 - 3). Let o = -30641\/7532 + v. What is the common denominator of -67\/24 and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = 2*b + 2709, 5414 = -4*b - 10*s + 12*s. Is 32 a factor of b\/(-6) + ((-4)\/(-3) - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1387 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 160*s - 4. Let d(u) = 321*u - 8. Let n(g) = -9*c(g) + 4*d(g). Suppose -40 + 67 = 3*o. Let p be n(o). What is p rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -3*t**2 - 374*t. Let r(o) = -23*o - 6*o - 5*o + 33*o. What is c(r(d))?\nAnswer: -3*d**2 + 374*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 22*a + 27. Let j be (2 - 1)\/((-35)\/(-13)). Let u = -11\/7 + j. Is u smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0688836029 to four dps.\nAnswer: -0.0689","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 223, 799, 1769, 3139, 4915?\nAnswer: 7103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 2*d + 5. Let a(m) = -2*m - 6. Let y be ((-3)\/(-5))\/(2\/20). Determine y*o(r) + 5*a(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 69207.6 - 69207.72899876. Let g = -0.129 - l. What is g rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 10849474 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*w + 142*h = -1009, 5*w + 57*h = 120*h - 60*h + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 2*l + 11. Let v(s) = 2*s + 11. Determine 5*v(a) - 6*y(a).\nAnswer: -2*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 8*t. Suppose -x + 5*x - 16 = t. Let r(h) = h**2 - 6*h + 1. Calculate r(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-5)\/(-13)*(-4)\/10. Let r be (-20)\/(-6)*(88\/(-55))\/(-8). Which is the closest to r?  (a) -3  (b) 1  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/32 and 227\/32 + (6 - 14).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -7, 0.5, -6, -0.1, -36?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) be the second derivative of -q**5\/10 + 7*q**4\/12 - 17*q**3\/2 + 3118*q**2 - 17*q + 90. Differentiate j(l) with respect to l.\nAnswer: -6*l**2 + 14*l - 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*z + 1201*j - 1204*j = 16, 3*z + 5*j = -26 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -265, -85, 223, 659, 1223?\n\"Answer: 64*n**2 - 12*n - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 676 minutes before 7:36 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = j**3 - 28*j**2 + 270*j - 7369. Calculate o(28).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2194)\/(-9873)*18\/26?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -5*o + 13. Suppose -4*v + s = -43, -2*v = -149*s + 148*s - 23. Calculate j(v).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 112457 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1113333 + 2312?\nAnswer: 1121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2895 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 36. Let a(k) = 16*k**2. What is a(i(p))?\nAnswer: 64*p**4 + 2304*p**2 + 20736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 252?  (a) -1\/3  (b) 0.3  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -54*b**3 + 21*b**3 + 23*b**3.\nAnswer: -10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*n**2 - 2*n + 129 - n + 33 + 192 + 5*n.\nAnswer: 2*n**2 + 2*n + 354","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2110112220120 (base 3) to base 4.\nAnswer: 10333303323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -37*y**3 + 21*y**2 - 16*y - 40. List the prime factors of h(-7).\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.3?  (a) -5\/13  (b) 10  (c) -2\/3  (d) 0.1  (e) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -327, -294, -31, 456, 1161, 2078?\n\"Answer: -n**3 + 121*n**2 - 323*n - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*230\/(-55) + (-24)\/(-132).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**3\/7 + 1896*g**2\/7 - 476442*g\/7 + 12640860\/7.\nAnswer: -2*(g - 459)**2*(g - 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -193*i - 100158 + 100544. Factor -16\/5 - 76\/15*w - 2*w**i - 2\/15*w**3.\nAnswer: -2*(w + 1)*(w + 2)*(w + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 546015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/3)\/((-4)\/(-42)). Let w be (-2 + 4)\/2 - (n + -1). Let y(t) = w*t - 19*t - 47*t. Let s(o) = o**2. What is y(s(b))?\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 10131, 10160, 10237, 10386, 10631, 10996, 11505?\n\"Answer: 4*g**3 + g + 10126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.11 and 6.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 43828848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 115\/78336324 and -5\/266904.\nAnswer: 156672648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 150*j - 437. Give m(7).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:46 PM and 11:02 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**(6\/11)*a*a**4*a\/((a\/a**4)\/a)*a**13 assuming a is positive.\nAnswer: a**(259\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -13 - -50?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9\/(-30))\/(((57\/(-30))\/19)\/(90\/1080))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 PM and 4:41 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = 6*q**3 + 8*q**2 - 5. Suppose -5 = -g + b, 3*g - 15 = -0*g + 2*b. Let i(r) = 7*r**3 + 9*r**2 - 6. Calculate g*i(x) - 6*n(x).\nAnswer: -x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1493 or 1487?\nAnswer: 1493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (26626 - 43) + 104\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*f + 10*f + 131 = 0. Suppose -k - 140 = -4*d, -4*d = -4*k + 3 - f. List the prime factors of ((-8)\/6)\/((-3)\/d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 52262279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in -4, 5, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 15 + 1103*f - 51 + 16 + 20 to x*f + u and give x.\nAnswer: 1103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5089 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - (-4)\/5)*((-3588)\/184 + 42)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4212 and 61304256?\nAnswer: 183912768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 779 - 778. Which is the second smallest value?  (a) -5  (b) -37  (c) -0.4  (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s - 18 = -m - 4*s, 0 = 5*s - 20. Solve -2*l + 1 = d, 3*l - 4*d - 19 = -m*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34921 is divided by 127?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 3*j + 2, n + j - 8 = -4*n. Let l = -196 - -196.4. Which is the second biggest value?  (a) n  (b) 3  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -94 + 94 - 9*p - p**3 - 12*p as v*p + f + a*p**2 + m*p**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 96138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 294, 291, 282, 267, 246, 219?\n\"Answer: -3*q**2 + 6*q + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q - 8*q = -10. Suppose 5*x = 2*a - 5, 4*a + 4*x - 3 = -7. Let p = a - q. Solve -4 = -g - p*t, -1 + 11 = g + 5*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -w**2 + 3*w + 3. Let k be b(6). Let h = k + 21. Calculate the least common multiple of 2 + 0 + (-98)\/(-7) and h.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1c (base 16) to base 8\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 377 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -14 + 9. Let u = 205\/2 + -1029\/10. Which is the closest to g?  (a) -1\/4  (b) 1\/8  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q = 7*p - 66, -12*q - 123*p + 121*p - 28 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.884 and 3?\nAnswer: 5.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339479884?\nAnswer: 2, 31, 37, 61, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2816 and 958720.\nAnswer: 10545920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -7*o + 21*o + 17 - o**3 - 2*o**2 - 6. Let k be q(-5). Calculate the greatest common divisor of k and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 29607569*m**2 + 16*m + 222616 wrt m?\nAnswer: 59215138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (18 - 35) + (3 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = 5*x**3 - x. Let n be f(1). Let k = n + -4. What is the first derivative of -2*i**2 - 1 + k*i**2 + 0 wrt i?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 1437a64?\nAnswer: -1437a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**2\/8 - 75*j = 0?\nAnswer: -200, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.01 + -0.09. Which is the smallest value?  (a) p  (b) -3  (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/8?  (a) -0.27  (b) 2\/11  (c) 46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 4, -0.025, 0, 7112\/3?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24531704?\nAnswer: 2, 211, 14533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 33 by -1644.\nAnswer: -11\/548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (-80)\/25 - -4 - 0\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 129 divide 17711196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -218*t + 566. What is the hundreds digit of f(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = c**2 - c + 10. Let s be h(5). Let k = s - 14. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1539)*-1*5 + 1 + (sqrt(19) + 1)*2.\nAnswer: -43*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1289 + y**2 + 781 - 1168 + 4*y to l*y + n + i*y**2 and give n.\nAnswer: 902","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 9*t**3 + 3*t - 4. Let c(a) = -a**3 - a + 1. Let d = -17252 - -17258. Calculate d*c(p) + m(p).\nAnswer: 3*p**3 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -394942, -394944, -394948, -394954, -394962?\n\"Answer: -p**2 + p - 394942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1753 + 437. Let l = x - 569. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 175, 392, 623, 874, 1151, 1460, 1807?\nAnswer: 2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 40843*c + 163383. Calculate k(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -0.2, 5\/3, 85, 29\/5, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -131 + 127. Which is the second smallest value?  (a) -3  (b) l  (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1000010011101100101110 (base 2) to base 13.\nAnswer: -5b3380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z + 185 = 35. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/((g*g\/((g\/(g\/g**(-2\/3)))\/g)*g)\/g))**(9\/4))**(-48)\/(g**(-4\/7)*g**2*g**(-5)*g**(-2)) assuming g is positive.\nAnswer: g**(2055\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4407635 = 58*y + 1062949. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-28)\/15 - (-6)\/(-45). Let o be k\/(-3)*(-15 + 3). Is -7 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-163)\/((-123228)\/(-5992)) - (0 + -8)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -69122, -138249, -207376?\nAnswer: -276503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/(-36)*((-112)\/64 + 1)\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 28 + -36. Let j be (-4 - (-16)\/12)*3. Let c = x - j. Solve -2*u + c = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -116*u**4 - 82 wrt u.\nAnswer: -464*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -352307.5 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 644952?\nAnswer: 2, 3, 7, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0 - -2. Let d(o) = o**2 + 3*o + 3. Let j(b) = 2*b**2 + 8*b + 9. Let i(q) = 11*d(q) - 4*j(q). What are the prime factors of i(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p = 3*u + 1710, -5*u + 4*p - 2850 = -p. Let b = u + 720. What is the smallest common multiple of b and 2?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.4?  (a) 2\/21  (b) -4  (c) 0  (d) -1.9  (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5873066 + -8.\nAnswer: -5873074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 68*j**3 - 3*j**4 + j**4 + 2*j + 52 - 68*j**3 as g*j**2 + a*j + u + x*j**4 + i*j**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 81766062 is divided by 4239?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 minutes after 11:19 PM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 140 = -4*f + 9*f. Let o = f - 17. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -28, 1, 4, 5, -13 in decreasing order.\nAnswer: 5, 4, 1, -5, -13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-48)\/1224*45)\/(1\/1)?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 135\/(-22)*19688\/12305 - -4*3?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4573, -6565, -8557, -10549, -12541?\nAnswer: -14533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (3 - -27) + (-18 - 73 - -86)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -85*g**3*n*x**3 + 17*g**3*x - g**2*n*x**2 - 39*g*n*x**3 - n*x**2 wrt g?\nAnswer: -510*n*x**3 + 102*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -214758, -214871, -215060, -215325, -215666?\nAnswer: -216083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9112?\nAnswer: 2, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-121)\/(-55) + -2 + (-1)\/55.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 49706 to the power of 1\/2, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 405156 is divided by 1355.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) be the first derivative of 11*r**4 + r - 4. List the prime factors of t(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4384*f - 8729*f = -4388*f - 129 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 297 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -12929985 by -12929985.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**3 - 1. Let j = 4 - 4. Let l(r) be the third derivative of 0*r**4 + 3*r**2 + 0*r**5 - r**3 - 1\/30*r**6 + 0 + j*r. What is -l(t) + 6*x(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -131\/143140 and -45\/17252.\nAnswer: 617362820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42200 and 4?\nAnswer: 42200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -283, -288, -293?\nAnswer: -298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 724863?\nAnswer: 3, 17, 61, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -28 - -26. Let x = 0.5 - 0. Sort -5, b, x.\nAnswer: -5, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 704*r**3 + 839*r**3 - 326*r**3.\nAnswer: 1217*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -87.2*0.5\nAnswer: -43.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 3355.1841811636 + -0.8?\nAnswer: 3354.3841811636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 23450*n**3 + 3*n**2 - 10*n - 5. Let l be p(4). Suppose -4999197 - l = -5*y. Suppose 6*s = s - y. Round s to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 49\/145 and -44\/10875?\nAnswer: 10875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(171))**2 - sqrt(19))*1 + 3.\nAnswer: -sqrt(19) + 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-771)\/(-1285))\/((12 - 13)*(-22)\/(-30)).\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 0.3, 0.1, 102, 1\/4, -135, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Round -5.437 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -1. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1049384 or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 + 1.5. Let p = 0.31 - -0.09. What is the second smallest value in u, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:59 AM and 12:34 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 393342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*w - 2*w - 5 = 3*t, -3*t + 7 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 95436?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2 - -2ba1?\nAnswer: 2b9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 102\/238*4\/12?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 36 - 36. Let g = 0.4 + -1.4. Let q = -73\/3 + 24. Which is the nearest to q?  (a) g  (b) w  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19457 or -19450?\nAnswer: -19457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 10:41 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 722 (base 8) to base 11.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -7673 or -145814\/19?\nAnswer: -7673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1*53982\/24)\/((-1)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = 3*x. Let g be (4 - (-85)\/(-25)) + 39\/(-90). Let s(n) be the second derivative of 0*n**2 + 0*n**3 - 4*n - g*n**4 + 0. Calculate h(s(z)).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express -256*p**2 + 35*p**3 + 60*p - 3 - 2 + 257*p**2 - 60*p in the form o*p**2 + j + b*p + c*p**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a - -78?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3110 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 147513?  (a) 0.9  (b) 3\/5  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*f**2*g**2 + 1616*f**2*g - 2*f**2 - 16792*f*g - 7*g**2 wrt f.\nAnswer: -6*g**2 + 3232*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -827449 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = 9*f - 13*f + 3, -5*k + 4*f - 15 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 + 74. Let u be q(0). Suppose 3*l = -2*l - 4*m + u, -5*l + 5*m + 65 = 0. Let g be 6\/l - (-78)\/(-84). What is the closest to -0.2 in g, -3, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3435 + 3535. Calculate the remainder when v is divided by 88.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*h + 6*p + 7 = 23*h, -1593*h = -1595*h + 5*p for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*t**3 + 390*t - 390*t - 11*t**3 - 2*t**3 + t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17 + (3 - 42) + 23 - 37.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 5*i + 0*i**3 + 0*i**2 + 11 + 7\/12*i**4. Let b(v) = 6*v**2. What is y(b(t))?\nAnswer: 252*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/10 - (-108)\/20*4. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 941904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -2 + 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 45 - 25. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 3 - 4)*(-1 - 4 + 3)*(-42*p + 42*p - p**3).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5004 - 4968. Calculate the remainder when -1*(1 - 109 - -1) is divided by p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 divided by -60.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, 4, 16, -3, 5, -6 in ascending order.\nAnswer: -7, -6, -3, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x - 61 = b, 42 = -5*x + 3*b - 55. Let i = x - -22. Suppose 0 = -2*r - 2*g + 8, -r - 3*g + 6 = -0*g. Calculate the greatest common factor of r and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*d**3 - d + d**3 - 8*d**3 + 5*d + 3*d**2 in the form y*d**3 + k + q*d**2 + x*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 205 or 210?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 12*(25\/10 + -2) - (8 + 24)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 3*c**2 - 3. Let f(p) = -3*p**2 + 4. Let v(u) = -u**2 + 9*u - 11. Let a be v(7). Give a*f(x) + 4*k(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 3\/4, 10\/43, -22, 0.5 in ascending order.\nAnswer: -22, 10\/43, 0.5, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 15 (base 16) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + 0. Suppose -g - 5*d + 34 = -17, o*g - 204 = -2*d. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0*a**2 + 2*a**2 - a**2)*(-40*a + 16*a + 11*a) + 0*a**2 + 0*a**2 + a**3)*(0*a**2 + 2*a**2 - 3*a**2).\nAnswer: 12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 509 - 2547\/5. Do b and -15.18 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b + 18. Let f be j(-14). Calculate the lowest common multiple of ((-24)\/14)\/((f\/42)\/(-1)) and 1\/(-3) + 74\/6.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) be the first derivative of h**7\/210 - 7*h**3\/6 - 11*h**2\/2 + 4. Let d(f) be the second derivative of r(f). What is the first derivative of d(i) wrt i?\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -19*l + x - 59 + 21, 10 = -5*l - 2*x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 3 - -4584?\nAnswer: 4587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tororovvoovko. What is prob of sequence krtv?\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2610419*r - 2797845 wrt r?\nAnswer: -2610419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -171.52131 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1161 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - 1 + 1)*(s**2 - s**2 + 3*s**3 + (2*s - s**2 - 2*s)*(117 + 11*s - 117) + 35*s**3 - 24*s**3 + 26*s**3).\nAnswer: -29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 27672093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -y**3 - y**2 - y - 9. Determine i(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 minutes before 5:26 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*q = 23 + 263. Let b = 27 - q. Let h be (4\/b)\/((-6)\/(-5)). Does h = -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -i**3 - 5*i**2 + 4*i - 6. Suppose 42*k - 66 = -318. Give r(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 240240901197782 - -1.\nAnswer: 240240901197783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y + 1. Let n(p) = -2*p + 1. Calculate 6*n(o) - 5*z(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**2 - 62 + 30 + 33 + 51*w**2.\nAnswer: 46*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 34*w. Let u(q) = 2*q - 1320. Give u(g(t)).\nAnswer: 68*t - 1320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a meter in centimeters?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 2, 1\/6, -0.775, 8\/3, 0.4 in decreasing order.\nAnswer: 8\/3, 2, 0.5, 0.4, 1\/6, -0.775","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = -5*h + 3. Let a(x) = -x - 3. Let j be a(0). Let b(r) = r**2 - 14*r + 8. Determine j*b(c) + 8*m(c).\nAnswer: -3*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182702 = -4328*s + 111602 for s.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 66 or 323\/5?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.6515212kg?\nAnswer: 0.0006515212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -6*g**3 - 6*g**2 - 708. Let d(m) = -12*m**3 - 5*m**2 - 708. Let t(r) = -6*d(r) + 5*z(r). Differentiate t(k) wrt k.\nAnswer: 126*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 2 and -71 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + 2)*(0*d + 3*d + 0*d).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**2 + 2. Let q(y) = -3*y**2 + 7. Let t(o) = 7*f(o) - 2*q(o). Let x(u) = -u**2 - 3*u**2 + 2*u**2. Give t(x(g)).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 12. Let r(u) = -213842*u. Give i(r(y)).\nAnswer: 45728400964*y**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - (-1 - -5) - (-3 - 55) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 6, 105, 266, 483, 750?\n\"Answer: -m**3 + 37*m**2 - 5*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (-3 + -4) - (4 + -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 24\/(-312) - 822018\/(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2228, -1, 4, 5, 0 in ascending order.\nAnswer: -2228, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 54 (base 9) to base 5\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 - -4) + 3 + -10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 take away -461310?\nAnswer: 461307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 147 and 152208?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -29 - -29.43. Let q = -109.9 + 110.351. Let c = h - q. Round c to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -79 + 391*k + 535*k + 79 - 2*k**2 to m*k + i*k**2 + p and give m.\nAnswer: 926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14 + -9. Let i be (-371)\/735 + 3\/b. Which is bigger: -1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*g - 14 = 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19065 divided by -1.\nAnswer: 19065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 2\/117  (b) 0.5  (c) -40  (d) 0.1  (e) 0.2  (f) -1\/4  (g) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 790 is divided by 391.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -38 = -6*z + 298. Suppose -u - 52 = -3*g - 2, -5*g - 2*u = -98. Let p be (168\/g)\/(4\/6). What is the highest common divisor of z and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -17*x**2 + 739*x + 48. Determine l(43).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6758 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -4*i**3\/3 + i**2\/2 - 2*i + 1. Let z = 19 + -18. Let d be t(z). What is the smallest value in 4, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 + 16*o**2 + 37*o + 11. What is c(-14)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 237 divided by 40\nAnswer: 237\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 2 and 135040.\nAnswer: 135040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + (3 + -5 + sqrt(847))*5*-1*-6)**2.\nAnswer: -36960*sqrt(7) + 765436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -209 - -1455\/7. Which is the closest to 1?  (a) -3\/2  (b) k  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36198005?\nAnswer: 5, 263, 27527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -18. Let o = -5 - g. Let y = 1\/465 - -1387\/3720. Which is the biggest value?  (a) y  (b) o  (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -96 = -9*p + 7*p. Suppose 2*u - 6*u = -p. Let v = 13 - -11. What is the greatest common divisor of u and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -934*p**4 - 1155 wrt p?\nAnswer: -3736*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z - 9. Let v be q(0). Suppose 0*n + 3*n - 4*h = -50, 66 = -5*n - 2*h. Let f = v - n. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = s**2 + 13*s + 10. Let b be y(-10). Let h(j) = 24*j - 1. Let u be h(-1). Let t = u - b. Put 1, t, -4 in ascending order.\nAnswer: t, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -132 - -136. Suppose -4*v - q*a + 20 = 0, v - 2*a = -0*a - 4. Solve 7 = -v*r + 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -362*f**4 + 17*f**2 - 14607 wrt f.\nAnswer: -1448*f**3 + 34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2522, 4961, 7406, 9863, 12338, 14837?\nAnswer: 17366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 4824167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 AM and 5:57 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 1286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the second derivative of -y**4\/3 - y**3\/6 - 8*y**2 - 7*y + 445. Determine q(-4).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -10 (base 4) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kb when two letters picked without replacement from kbbbg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 3*u**2 + 8812*u - 123954. What is o(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"}
{"text":"Question: Is 91710697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 3253681 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12339, 12652, 13169, 13884, 14791, 15884, 17157?\nAnswer: 18604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*s + 8*p = -17*s + 15*p - 28, -5*s + 4*p - 3 = 2*p + 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2581 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 645418222?\nAnswer: 2, 107, 281, 10733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 12:38 PM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -5*s - 477, 6*m = 3*m - 3. Let b = s - -104. Suppose -3*f + 39 = 5*u, -f + u - 3 = -b. Solve -3*g + f = -2*p + 19, 0 = -3*p + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 7427, 14849, 22271?\n\"Answer: 7422*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 - (5 + -14 + 3 - (-2 + 6))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 175 divide 260405106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8947950)\/358875*(-6)\/(-11).\nAnswer: -68\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -108 = -14*n - 38. Suppose 372 = 36*y - n*y. Let x(m) = -m**2 + 15*m - 23. Give x(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1124*s - 790*s + 3340 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + 5 + (-9 - 0) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j = -6*j + 48*j - 630 - 225 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) be the third derivative of h**8\/112 - 3*h**7\/70 - h**6\/4 - h**5\/10 + 9*h**4\/8 + 5*h**3\/2 + 166*h**2. Factor n(x).\nAnswer: 3*(x - 5)*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 72  (b) -4  (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -4*q**2. Let t(u) = 49 + 43*u + 49 - 148 + 49. What is d(t(f))?\nAnswer: -7396*f**2 + 344*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4*5 - (-40)\/(-20). Let o = 21 - d. Suppose 0 = 5*y + m - 60, -3*m - 1 = -y + 11. What is the lowest common multiple of o and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 take away 698.72653154?\nAnswer: -596.72653154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) be the first derivative of 1\/24*f**4 + 3\/2*f**3 + 0*f + 22*f**2 - 42. Let l(m) be the second derivative of u(m). Determine l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-12)\/(-8)*27\/(-54).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 5*d + 6. Let t be g(6). Let b be 5\/2 - 1030\/(-20). Calculate the highest common divisor of t and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 3*q - 4*f + 12, 2*q - 8 = -5*f. Let k = 0.42 + -0.4. Let t = -0.02 + k. Which is the closest to q?  (a) 0.5  (b) t  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -4\/3  (b) 7235  (c) 7\/2  (d) -1\/7  (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*m - 124 = -208. Solve m*v = q + 6, -v + 5 + 11 = -5*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 18826 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = g**2 + 9*g. Let a(h) = h**3 + 2*h**2 + 48*h - 6. Let u(p) = a(p) - 6*q(p). Suppose -c + 0 = -5. Calculate u(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15584?\nAnswer: 2, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0, -0.2, 0.34, 0.1, 23\/4, 0.048, -2\/19?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-35))\/((216\/(-40))\/9)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -5275 (base 8) to base 2\nAnswer: -101010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 14  (c) 0.1  (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.16 and -338.497?\nAnswer: -54.15952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -700 + 696. Which is the fourth smallest value?  (a) 1\/10  (b) w  (c) -2\/17  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1239, 5313, 12103, 21609, 33831?\n\"Answer: 1358*k**2 - 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (210\/20)\/((-1)\/2). Let g = 47\/2 + m. Find a such that 0 + 5\/2*a**4 - g*a**2 - a**3 + a = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 16387501, 16387502, 16387503, 16387504, 16387505?\nAnswer: 16387506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h**4 - 531*h**3 + 50517*h**2 - 99429*h + 49446 = 0. Calculate h.\nAnswer: -246, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -115*(-11)\/220 + 0 + 2 + -5.\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) be the second derivative of -s**8\/56 - 137*s**5\/5 + 85*s**4\/3 - s**3\/3 - 457*s + 2. Find the third derivative of f(z) wrt z.\nAnswer: -120*z**3 - 3288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + (0 - 4) + (-19 - -24).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(35)\/sqrt(5) + -4)**2*5.\nAnswer: -40*sqrt(7) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 29*q + 66 = 0. Suppose -3*o + 2*p + 81 = -2*p, -27 = -o - 2*p. What is the lowest common multiple of q and o?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-65)\/10)\/((-82004)\/(-1328))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -4 + 30?\nAnswer: 2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from meemmgkkmmmoemem. Give prob of picking 1 e and 1 m.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence aax when three letters picked without replacement from {a: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) be the third derivative of -v**5\/60 + 5*v**2 - v. Let l(r) = r + 4. Let m(x) = -12*x - 24. Let n(d) = -6*l(d) - m(d). Give n(k(c)).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:04 PM and 12:49 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/2)*o*o**0)**(-41)\/((o*o**(-3))\/o*o\/(o*o*o**7*o)*(o**(2\/7))**37) assuming o is positive.\nAnswer: o**(-841\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**2\/11 - 100*r + 2208\/11.\nAnswer: -2*(r - 2)*(r + 552)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2425847 a multiple of 910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 112725726 to the power of 1\/2, to the nearest integer?\nAnswer: 10617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3.867 + 3.867. What is the nearest to 0 in -243, 0.2, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h - 7*g + 9 = -6*g - 21, 55*h + h + 3*g = -654 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of -32 + 0*y + 0*y**2 + 31\/3*y**3 + 19\/5*y**5 + 0*y**4. What is the third derivative of h(l) wrt l?\nAnswer: 456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k**3 + 2*k - 9. Let q be g(2). Suppose 0 = 3*d - 6*d + 12. Find a such that 2*a**q + 6*a**3 - 5*a**4 + 4*a**d + 5*a**4 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 277*q - 2536. Determine y(9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = 9*u + 334. What is g(15)?\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -360 - -352. Let q be 9\/((-432)\/392) - h. Which is the nearest to -1\/6?  (a) q  (b) -7  (c) 2\/13  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*a*g*w**3 + 7394*a*g*w - 1666*a - 2*w**3 with respect to g.\nAnswer: -2*a*w**3 + 7394*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round -21.218 to one dp.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -131, 0 in increasing order.\nAnswer: -131, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (0 + sqrt(243))*2*2 + 1)**2.\nAnswer: 216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 797656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 561.7 + -557.7. Which is the nearest to 0.2?  (a) d  (b) -69  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 + 4*p + 32*p**2 - 4*p.\nAnswer: 32*p**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -188*u - 229*u - 5838 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) be the first derivative of 4*k**3\/21 + 10*k**2\/7 + 24*k\/7 - 17. Factor g(w).\nAnswer: 4*(w + 2)*(w + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -893618.\nAnswer: -2\/446809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - -3)*18890\/210*7?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -55938189.6 to the nearest 1000.\nAnswer: -55938000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*b - 1323 = 192*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -66083764, -66083761, -66083756, -66083749, -66083740?\n\"Answer: m**2 - 66083765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39038 or -429420\/11?\nAnswer: -429420\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = 5*l + 249. List the prime factors of m(-31).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -226, 150, 772, 1640, 2754, 4114, 5720?\nAnswer: 7572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -28, 274, 0.1, 3\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7599, 11069, 14503, 17883, 21191, 24409?\n\"Answer: -3*c**3 + 3491*c + 4111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from nllnn. Give prob of sequence lnnl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -3704 + 362*f**3 + 3704 + (4*f**2 - 4*f**2 + f**2)*(2*f + f - 2*f) as g*f**2 + u*f + p + a*f**3 and give a.\nAnswer: 363","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2130*x + 2118*x + 768. What is the remainder when x is divided by 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2772\/528 - 5)*(8\/(-3) - 0)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 4*v. Let l(y) = y**2 - 8*y + 3. Let z be l(8). Let t(w) = -w + 2*w - 6*w. Calculate z*p(b) + 2*t(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g + 10. Let r be y(5). What is the tens digit of 33 - (100\/r)\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1001*l**2 + 525612 - 525612 - 995*l**2.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 + 2*s**2 + 16*s - 22. Determine g(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -110515, -110667, -110921, -111277?\n\"Answer: -51*l**2 + l - 110465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4129?\nAnswer: 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 2*r**2\/5 - 5536*r\/5 + 732310 = 0.\nAnswer: 1093, 1675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/2 of a litre?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let a = -159 - -155. Let m(t) = t**3 - t + 3. Let x(d) = -3*d**3 + 6*d**2 + 2*d - 4. Let k(c) = a*m(c) - x(c). Give k(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -18*l**2 + 7*l - 2. Let z(n) = 35*n**2 - 12*n + 4. Calculate 5*x(c) + 3*z(c).\nAnswer: 15*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, b: 2, f: 4, o: 1}. Give prob of picking 1 o and 2 b.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 144.9058 decades in millennia?\nAnswer: 1.449058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**9*v\/v**(-1\/2)*v**(1\/12)\/((v*v\/(v*v*v\/v**16*v*v)*v)\/v))**19 assuming v is positive.\nAnswer: v**(-551\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4822*y + 84 = 4834*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -642 by 6.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 302278352.\nAnswer: 2, 18892397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*x + 83*x**2 - 2*x - 26*x**2 + 30*x**2.\nAnswer: 87*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 370061 is divided by 293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, 0.3, -285, 11889?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 83 = 4*b - 5*t, 0 = t + 2 - 3. Calculate the least common multiple of 32 and b.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174525 is divided by 63?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 2*k**5 - 2544*k**4 + 1213852*k**3 - 257694152*k**2 + 20617576050*k - 20361093208 = 0.\nAnswer: 1, 313, 332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -99\/4 and 137\/2628.\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -20 - -23. Suppose 4*y = x + 22, 0 = -6*x + a*x - 5*y + 2. Which is smaller: -5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(2\/5)*z**(-8))\/(z**1*z)**27)\/((z**(-1)\/(z**(-1\/8)*z))\/(z**(1\/5)*z**(8\/7))) assuming z is positive.\nAnswer: z**(-16347\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5d657 (base 14) to base 2.\nAnswer: 110111111010001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (11\/33)\/((-8881)\/(-1776) - 5). Calculate the greatest common divisor of 64 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -790 divided by 31150.\nAnswer: -79\/3115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**2 - 90*l + 75. Let u be q(-46). Let o(x) be the second derivative of -x**3 - 7*x**2 - x. Is 8 a factor of o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 a and 1 q when three letters picked without replacement from {q: 3, d: 5, v: 2, a: 2, g: 3}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4.211 + -4.047. What is the closest to -2 in 9, x, 0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26*u + 678 = -267 + 243. Put 2, u, 41, 0 in ascending order.\nAnswer: u, 0, 2, 41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**3 + 8*q**2 + 3. Let h(b) = -2*b**3 - 9*b**2 - b - 3. Let y(g) = -2*h(g) - 3*j(g). Calculate y(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 14*c**2 + c + 4. Let y = -78 + 76. Let k be q(y). Calculate the greatest common factor of 174 and k.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 4266\/95 and 45 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -61 + 73. Let q = m - 12. Which is the nearest to -2\/7?  (a) -3  (b) q  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s**2 - 4*s**2 + 3*s**2)*(1495*s**3 - 4531 + 4531).\nAnswer: 1495*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 0, -3*o + 4*o - 5*j = -45. Let c = o + 78. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -a**2 - 39*a - 356. Give v(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -831120 divided by 166224?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -12 - -15. Suppose -4*w = 5*i - 33, -2*w + 3 = -g*i + 14. Suppose -37 = w*z - 99. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5 + 2)*(-75*m**2 + 166*m**2 - 2 - 88*m**2 - 13*m).\nAnswer: -12*m**2 + 52*m + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 3*h)*(-2764 + 2396 + 2022) in the form f + p*h and give p.\nAnswer: 4962","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:19 AM and 8:32 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*x**2 + 3*x**3 + 0*x**2 + (3 - 2*x**2 - 3)*(5*x - 5*x + x) + x**3 + 14*x**3 - 6*x**3 + 9*x - x**3 - 9*x.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lqdllrqrlrvqqqp. What is prob of sequence vprd?\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 - 41*y - 72. Suppose -5*k + r + 4*r = 145, -4*k - 95 = 3*r. What are the prime factors of z(k)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*u + 4*b - 8 = 0, -7*b + 3*b = u - 20. Let c be 2\/u*(-380)\/(-10). Suppose -101 - c = -5*z. What is the greatest common factor of 36 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 3:10 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 2*c**3 - c**2 - 4*c + 4. Let n = -7 - -12. Let t(i) = -42 + 46 + 950404*i**3 - 950402*i**3 - 5*i - i**2. What is n*p(q) - 4*t(q)?\nAnswer: 2*q**3 - q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**3 - 3*v**2 - 12*v + 11. Let b be h(5). Which is smaller: b or 13\/15?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 52896.\nAnswer: 2, 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = 2*n**2 - 24*n + 59. Calculate h(10).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) be the third derivative of -u**6\/240 - u**4\/3 - 3*u**2. Let w(b) be the second derivative of c(b). Let t(d) = -7*d. Give t(w(r)).\nAnswer: 21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 310023013 (base 5) in base 7?\nAnswer: 13432035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 5*u**3 + u**2 + 151*u - 1231. Give t(7).\nAnswer: 1590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 5*l - 8*i - 35, 16 = -2*l - 4*i. Solve 4*h - 22 = -5*w, 2*w - l*h + 8 = 2*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 5 - 2 - a**2 - 3 + 32*a**4 - 2*a in the form s + v*a**2 + f*a**4 + b*a + n*a**3 and give f.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 157183 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1 - 1 + 0)*(-793 + 1643 + 945)*(5*u**2 + 0*u**2 - 4*u**2) in the form i + x*u**2 + k*u and give x.\nAnswer: -3590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 10076314 to the nearest integer?\nAnswer: 3174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 3*n - 75 = 0, 75 = -3*v - 2*v - 3*n. Let l(x) = -x**2 - x + 78. Let r be l(-11). Is v bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -30 divided by 688903\nAnswer: -30\/688903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5166 - 5175. Sort 26, -3, -2, g in increasing order.\nAnswer: g, -3, -2, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7074, -22973, -38872, -54771?\nAnswer: -70670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1562597101?\nAnswer: 13, 120199777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1723034297 to the power of 1\/2, to the nearest integer?\nAnswer: 41509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 17 + -12. Let i = -4339\/3060 - -1\/765. Let h = i + 3\/4. What is the closest to -1\/2 in s, h, -0.3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-240)\/(-3000) + (-4948)\/(-25). Calculate the greatest common divisor of 243 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the first derivative of 36*u - 56*u**2 + 4\/5*u**5 + 40*u**3 - 12*u**4 - 24. Factor m(z).\nAnswer: 4*(z - 9)*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -1022, -2045, -3066, -4085, -5102?\n\"Answer: c**2 - 1026*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -5431673 (base 8) to base 15.\nAnswer: -1db1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i. Let x(q) = 4*q**2 - 25. Give y(x(o)).\nAnswer: -4*o**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y = -34*y + 12744. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1026, 1027, 1028, 1029, 1030, 1031?\n\"Answer: f + 1025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 10, -1857 = -5*s - 3*a + 4488. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9 in 105, 1\/3, -2, -1, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 4*u - 12 = 0, 2*k + 41*u - 39*u + 8 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -297*p - 30 = -303*p. Solve -5*r + 2*i - 23 = 0, p*r + 3*i + 31 - 3 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + -9 + ((-53 - -4) + -2 - (-1222 + 1205)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -33\/248 and 77\/4?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2461396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 22174, 22160, 22136, 22102, 22058, 22004?\nAnswer: 21940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 27*k - 25*k + 2*c - 21728, -5*k - c = -54296. What are the prime factors of k?\nAnswer: 2, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -2*l**2 - 5*l**3 + 3*l**2 + 4*l**3 + l**2 - l - 1. Let c be j(2). Let o be (-28)\/(-6) - c\/9. Solve 2*g = -5*p - 11, -2*p - o*g = -0 - 4 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 + 13 = k - 3*x, 2*k + 2*x + 10 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9 - 16. Let q = 3 + d. Let f = 1.5 - -0.5. Which is the third smallest value?  (a) q  (b) 3\/4  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10\/7 of a week in days?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = a - 11, -a - 2*c - 3 = -2. Let d = 6 - a. What is the units digit of 0\/2 - (-3 + d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3435*b**5 + 3*b**4 - 3481*b**2 - 9617024*b?\nAnswer: -68700*b**3 + 36*b**2 - 6962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*h = -12*h - 5*a + 21, 4*a = h + 10. Suppose p + 2*r - 12 = -5, -3*p + h*r = 3. Put -2, 3, -16, p in ascending order.\nAnswer: -16, -2, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/16 - (-52)\/(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 5*x**2 + 497*x + 8900. Calculate t(-76).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1982 is divided by 594.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1.71 + -0.39. Let v = y + 6.1. Let l = 1.09 - 1.29. What is the second smallest value in 2\/5, v, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -10*4\/(-5)*-1. Let l = -5 - c. Solve -3 = l*m + 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(2\/9))**(-14)*(v\/v**(2\/9))**(10\/9) assuming v is positive.\nAnswer: v**(-182\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 89 is divided by 74.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**2 - 951550*j + 2854632.\nAnswer: 2*(j - 475772)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -657, -1304, -1941, -2568, -3185, -3792, -4389?\nAnswer: -4976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 672 and 294?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -59, 5, 3\/7 in decreasing order.\nAnswer: 5, 3\/7, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*p + 2*p + 3*p - 3 - 13*p + 3 + (1 - 3 + 1)*(p - 2*p - p).\nAnswer: -8*p + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 564966 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 4*a**2 + 5*a + 4. Let f be u(-2). Suppose -4*k - f = 2*y, 5*k - 5*y + 0 = -35. Let z be k*(-5)\/(-10) + 3. Sort 3, -4, z.\nAnswer: -4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8772*d**2 + 8424*d wrt d?\nAnswer: -17544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 10\/797 - 475849\/3188. Which is greater: h or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -8*q**3 - 6*q**2 - 7*q + 5. Let v(z) = -7*z**3 - 5*z**2 - 7*z + 5. Let u(x) = -4*j(x) + 5*v(x). Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:34 AM and 10:34 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66234 is divided by 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1002220 (base 3) to base 9.\nAnswer: -1086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s - 2*s + 117 = 0. Is 20\/(-6)*s\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (2*(1*sqrt(153)*1 + (sqrt(153) - 2*sqrt(153)*1))\/(sqrt(63)\/(sqrt(56)\/sqrt(128))))**2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o*o\/(o\/(o*o\/o**(2\/3))))**(2\/63))**(-1\/42) assuming o is positive.\nAnswer: o**(-1\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4*((-136)\/80)\/17.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/3, 77, 152, -3, -3\/4, 11?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 20\/(-14) + (-17280)\/(-5040). Let g be (-4)\/(-3)*(-21)\/(-2). Calculate the highest common divisor of z and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -21.943 - 0.057. Let o = 21 + b. What is the nearest to -2\/5 in -4, -0.3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 + 53*s**2 + 604*s + 272. What is b(-16)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1211102111120 (base 3) to base 13\nAnswer: -280a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -92\/54285 and 67\/47553?\nAnswer: 78224685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x + t = -t + 10, 5*x = -2*t + 14. Let j = -894 - -896. Suppose -244 = -j*s - 172. Solve 11 = -3*b + 2*w + s, -x*w - 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = 14*p - 52. Let y be w(8). Suppose 69*h = 59*h + y. Solve -10*r + h*r - 4 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.152 - -222610.35307.\nAnswer: 222610.50507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 2, b: 5}. What is prob of sequence bjb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -4*f + 73, -3*f + 2*x + 76 = -3*x. Let u = f + -15. Suppose 0 = u*z + 2 - 12. Solve z*r - 4 = 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1849*c**3 - 74*c**2 + 21468*c wrt c?\nAnswer: 11094*c - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 3, 0.1, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 5\/3, -73, 9\/14?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2\/(-1*11\/(-33)*-105)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 3, w: 4, e: 5}. What is prob of sequence wow?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = w + 5. Suppose -9 = -5*k + 11. Suppose 0 = -2*f + 3*f - k. Let q be g(f). What is the greatest common divisor of q and 90?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*o = 2*o. Is (o - -2) + (-1)\/((-4)\/1636) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (54 + -42 - (31 - -4)) + 8 + -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 4*g + 2 = 0. Suppose 2*n = w + 15, -g*w - 15 = -4*n - 3*w. Let z(i) = i**3 - 3*i**2 - 7*i + 5. Is z(n) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - (6 - 10)) + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5183806.\nAnswer: 2, 137, 18919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = 30*n**2 + 7*n + 1. List the prime factors of y(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 482688071 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 568 - 103. List the prime factors of k.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/112 - (3 + (-26)\/8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from yyyyceyccyye.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q - 2*q + 5*q = -q. Let z(f) be the second derivative of -7\/6*f**3 + 0 - 4*f + q*f**2. Give z(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*m**5\/11 + 8*m**4\/11 - 34*m**3\/11 - 8*m**2\/11 + 24*m\/11 = 0 for m.\nAnswer: -2, -1, 0, 1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 12593159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -35 (base 6) in base 2?\nAnswer: -10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 423687 is divided by 97?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Put 115, 4, -632 in descending order.\nAnswer: 115, 4, -632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/40986 and 70\/899019?\nAnswer: 41354874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = -5*b**2 + 4*b + 5. Let i be g(-2). Let k = i + 19. Let c(y) = y + 4. What is c(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 1 + 3)*(-195797 + 2459*r**2 + 195797 + (-1 + 2*r + 1)*(2 + r - 2)) to the form p*r**2 + k + t*r and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 302819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*x**(-45)*x**(-7\/6))\/((x*x**11\/x)\/x*x*x\/x**34))**(-10) assuming x is positive.\nAnswer: x**(695\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of (-52)\/(-13) - (-43 - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 51\/1309273 and -85\/8616?\nAnswer: 31422552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 + r**2 - r - 1. Let u be o(-1). Solve g + 20 = 5*g, u = 4*i + 2*g - 10 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 255766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 54427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = v - 11. Let i(o) = -o + 2. Let x be i(2). Determine m(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*c**3 - 794*c - 3*c**2 + 794*c + (-4 - 73 + 11)*(3*c**3 + 0*c**3 - 5*c**3) as l*c**3 + g + t*c + v*c**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*o - 165 = o. Calculate the remainder when 130 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 298\/(-149)*(-3)\/6*-9*1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 324*f + 2 - 674*f - 1 + 322*f as s + u*f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -3721 greater than -3720?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6179694223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -975\/2 + 458. Calculate the common denominator of b and 12\/7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 + 124?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 2 = m - 0*a, -4 = 4*a. Let d(t) = 2*t**2 + 5*t + 4. Let x be d(m). Differentiate x*h - h - h + 1 - 8*h wrt h.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5*q + 4. Calculate the remainder when (-22 + 2)*22\/(-8) is divided by k(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -70.8082 - -0.4982. Let k = 0.69 - g. Let r = k + -71.00000142. What is r rounded to seven dps?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 116 - 121. Put h, -2\/27, 2\/19 in decreasing order.\nAnswer: 2\/19, -2\/27, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) be the second derivative of i**4\/3 + 3*i. Let g(v) = 3*v**2. What is g(o(b))?\nAnswer: 48*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11999*d**3*g**3 + 24*g**3 - 105*g**2 + 1 with respect to d.\nAnswer: -35997*d**2*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0  (b) -2  (c) -1\/7  (d) 22  (e) -1\/5  (f) 23  (g) 44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**3*r*s**2 + p**3 + 8*p*r*s**2 - 2*p*r*s - 20*r*s + 16*r - 21306*s**2 wrt s.\nAnswer: -4*p**3*r + 16*p*r - 42612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 5. Suppose -h*q + 144 = -2*o, 5*q + o - 400 = -2*o. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 7 = -32. Suppose -2 = 2*l, f + x*l + 0 + 2 = 0. Solve -2*h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/338964 and -67\/376.\nAnswer: 677928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2 - (-69)\/(-39))\/(12\/(-8)). Let c = 3.6 + -0.6. Sort -2\/9, p, c.\nAnswer: -2\/9, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.27 - 0.4. Let g = -52.81 - -53. Let o = m + g. Which is the second biggest value?  (a) o  (b) -2\/11  (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 7\/249168?\nAnswer: 7\/249168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(45) - (5 + sqrt(45) + 1 - sqrt(45))) + sqrt(45) + -2*sqrt(720))*2*4.\nAnswer: -144*sqrt(5) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 43, 77, 115, 157, 203, 253?\n\"Answer: 2*q**2 + 28*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 13 - 10. Calculate the remainder when 7 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -8007, -1\/4, 4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 871521864 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 118200.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 23 = 2*x + 2*r, 0 = 5*x - 3*r - 32. Let i = -13 + x. Let s(a) = -a**2 - 7*a - 3. Let q be s(i). Calculate the greatest common divisor of 6 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14402 + -54214?\nAnswer: -113020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: 7 * 7\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 54 minutes before 3:06 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 420663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v - 440 = 8*v. Let z = v - -50. Let o be (-1 - (-3)\/(-15))*z. Let t(s) = -s**2 + s. Let a(n) = 4*n**2 - 9*n + 1. What is o*t(u) + a(u)?\nAnswer: -2*u**2 - 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find q such that q**3\/4 + 13*q**2\/4 + 13*q + 15 = 0.\nAnswer: -6, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiattwwizttiak. Give prob of sequence ktta.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0  (c) 0.2  (d) -293  (e) -0.04943\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8, -15, -30, -53, -84?\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6 - -19 - 27) + -13.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ae1 - 2?\nAnswer: -ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*p - 73*p + 23*p + 30*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -10*p**2. Let u(g) = 5*g - 4. Let t(z) = 12*z - 11. Let i(b) = 4*t(b) - 11*u(b). What is h(i(m))?\nAnswer: -490*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*(1*sqrt(121)*-2 + 4*1*sqrt(121)))\/((sqrt(11) - sqrt(44)\/sqrt(4))*3 + (sqrt(121) + sqrt(121) + sqrt(121) + -5*sqrt(121))\/sqrt(11)))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 3688*f**3 - 10*f**2 + 10*f + 6490. Let g(r) = 1229*r**3 - 3*r**2 + 3*r + 2163. Let k(z) = 10*g(z) - 3*i(z). What is the derivative of k(y) wrt y?\nAnswer: 3678*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -10, -69, -176, -337, -558, -845, -1204?\n\"Answer: -w**3 - 18*w**2 + 2*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 198, 833, 2202, 4581, 8246, 13473, 20538?\nAnswer: 29717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 18*g*k*p**3 - 130*g*k*p**2 - 2*g*k*p + 2*g*k + 2*g*p**3 + 24*k*p**3 + p**2 wrt p?\nAnswer: 108*g*k + 12*g + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 6078143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 19017 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 69737072?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -42*z + 155546. Is q(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24780 and 1277220?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(6\/11)\/(a*a*((a**(-6)\/a)\/a)\/a*a*a))\/((((((a\/(a*a**(-3\/17)))\/a)\/a)\/a)\/a*a)\/(a*a\/(a\/(a\/(a*a**13\/a*a*a*a*a)))*a)))**(-3\/11) assuming a is positive.\nAnswer: a**(3159\/2057)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4117858?\nAnswer: 2, 47, 71, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1703622*u**5 + 2*u**2 + 5*u + 12425.\nAnswer: 102217320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -v**3 + 1055*v**2 - 1055*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -15\/28 + 1\/4. Which is the second smallest value?  (a) 35  (b) 2  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 650 and 950?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 + -1 + -2 + 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -4.801 - -4.78491. Round b to three decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 7*t**2 - 19*t + 44. Let s be w(11). Let p = s - 381. Is p a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 54 + 0 + -4 + -6 + 4 + 11 + -11.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 0.04 + 136326283.9899\nAnswer: 136326284.0299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5.997 + -22.6?\nAnswer: -28.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 495230492 greater than or equal to -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 162 (base 9) in base 7?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16*x + 4*g = 13*x + 1, 0 = -3*x - 5*g + 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f = 3*f. Suppose 2*j - 4 = -f*j. Let h(g) = 4*g**3 - g - j - g + 3 + 2*g**2. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13*f**2 - 2*f**2 + 6*f**2 + 2*f**2 - 2 + 2 + (2*f - f - 2*f)*(0 + 0 - 2*f) + 4*f**2 - 4*f**2 - f**2)*(-3*f**2 + 0*f**2 + f**2).\nAnswer: 12*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -749*v + 749*v - 921*v**2 + 553*v**2.\nAnswer: -368*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 51407944 and 835.\nAnswer: 257039720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:13 AM and 2:36 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (4 - -2) + (-11 - (0 - 10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 2565 and -2.91112.\nAnswer: 2562.08888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 4*n = y - 400, -2*y - 3*n = -780. What is the highest common divisor of 286 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29 - (-6 + -11) - (3 - 0) - 1.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10713294 + -1671280927\/156. Let o = -88697 + 1153681\/13. Let c = g + o. Calculate the common denominator of -17\/134 and c.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(432) + -1*sqrt(432))\/sqrt(12))\/(sqrt(1452)*2)*1*-5*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -271\/512, -1, -1\/15.\nAnswer: -1, -271\/512, -1\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 368 divide 9587943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the second derivative of -b**5\/5 - 2*b**3\/3 + 2*b**2 - 6*b - 383. Let j(x) = -5*x**3 - 3*x + 3. What is 3*f(z) - 4*j(z)?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express (o - 6*o + o)*(9 + 6 - 8 + 13) as t*o + r and give t.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -59.3 - -35.6. Let s = 27 + m. Let i = -3 + s. What is the third biggest value in i, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 388853159 to the nearest integer?\nAnswer: 730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 14\/98*-32 - -4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 891.356 + -3\nAnswer: 888.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-2*(2 - (-3)\/(-2)))\/(764 - 765)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s + j = 7*s - 16, -j + 12 = 5*s. Let f(u) be the first derivative of -3*u**3 + 3\/8*u**s - 6*u + 27\/4*u**2 + 31. Find c, given that f(c) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-15)*c**(7\/2))\/(c*c\/c**(-1)*c**(-4)) assuming c is positive.\nAnswer: c**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 3*r - 8 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -5, -17, 4.6?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**2 - 2*b. Let l(x) = -x**2 + 3*x. Let d(v) = 3*k(v) + 2*l(v). Let w(q) = -31*q. Calculate w(d(n)).\nAnswer: 155*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 500\/800*(-132)\/60.\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**2 + l + 5. Let t be v(0). Suppose w = -0*w, t*c - 2*w - 130 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 15037 is divided by 7439?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-32))\/(2178\/15609*(-1)\/(-24))?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*(v\/(v\/v**0))\/v)\/v*v**(-15)*((v\/(v*v*v**0*v*v*v))\/v)\/(v**11\/v) assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13155*s**5 - 2*s**3 - 25019*s.\nAnswer: 263100*s**3 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 33103301279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-6 - -99) + 185 + -183 - 22?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 27 = 2*y - q, -2*q + 40 = 5*y - 23. Calculate the highest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-217)\/(-49) - (-10 - -14). Which is the second biggest value?  (a) y  (b) 11  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 372  (b) 0  (c) 0.5  (d) -1  (e) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 25585632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*g**4 + 8*g**4 - g**4 + (3*g**4 - 5*g**4 + 0*g**4)*(3 + 1 - 6).\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.8 + -1.1. Suppose 7 = 3*n + 1. Let i = 256 + -4862\/19. What is the nearest to -1 in n, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*m = 13, m + 0*m - 8 = -l. What is the second derivative of -l*d + 6*d + 6*d**5 - 3*d**5 wrt d?\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -4*x + 2*o, 21 = -2446*x + 2447*x + 3*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -374262 = -34*o + 10*o - 25*o. Does 134 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/32 of a millimeter?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f - 30*f = 54. Sort f, 0.5, -0.5.\nAnswer: f, -0.5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:25 AM and 1:49 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(x) be the second derivative of x**5\/20 - 3*x**4\/4 - 3*x**3\/2 - 3*x**2\/2 + 17*x. Give w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 677*h - 12447945 + 9941605 = 29985598. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.02 - 4.98. Let v = 0.2 - 0.2. Let o = v + 5. Put 4, x, o in decreasing order.\nAnswer: o, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 34071365 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((j*j*j**(-1\/18))**45*((j\/j**(1\/3))\/j*j)\/(j\/j**(38\/3)))**(-27) assuming j is positive.\nAnswer: j**(-5391\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 112\/1417 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 24 and 1087911?\nAnswer: 8703288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -434600 divided by 4.\nAnswer: -108650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2896181677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-40)\/3*(-3930)\/2096?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-68)\/2)\/((-3950)\/1975)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = x - 3. Let b be n(7). Suppose 4*m - 10 = -5*v - 1, -v = -m - 9. Suppose 27*q + 36 + 45 = 0. What is the biggest value in -1\/5, b, q, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 5*f - 80. Let c be b(5). Let g = -31 - c. Let o = 58 + 0. Calculate the remainder when o is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 6477 and 15948771.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10*r**2 - 7*r**2 + 14*r**3 + 17*r**2 - 64*r**3.\nAnswer: -50*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -19858 + 19825. Which is the biggest value?  (a) 33  (b) -4\/5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -1 + 3*z + 4*z - 2*z - 4*z. Let g(x) = -9*x + 7. Determine -2*g(f) - 14*n(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zxxz when four letters picked without replacement from {s: 1, y: 1, z: 2, i: 1, x: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -439*p**2 - 6*p - 35. Let h be s(-4). Suppose -j - 3*j = 36. Is h\/j - 4\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 19*f**2 - 4*f - 5. Let c(b) = 37*b**2 - 8*b - 9. Determine 3*c(g) - 5*m(g).\nAnswer: 16*g**2 - 4*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -1403164, -1403181, -1403210, -1403251?\n\"Answer: -6*n**2 + n - 1403159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bqbbbq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j = -5*y + 10, -4*y + 2 = -3*j - 6. Suppose a + 3*a - 20 = j. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = k**3 - 10*k**2 - 7*k + 9. Suppose -5 - 1 = -y + 2*u, 0 = 4*y - 3*u - 14. Calculate the remainder when a(11) is divided by (33 - 2) + (3 - y) + -4.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*-2*sqrt(125)*3 - (2*(sqrt(125) + (sqrt(125) - -1*sqrt(125))) - (-2 + 2 + sqrt(125))))**2.\nAnswer: 36125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -3, -29355, -14\/13 in decreasing order.\nAnswer: -14\/13, -2, -3, -29355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4599*c**3*w**2 + 55*c**3*w + 38*c**3 - 2*c**2*w - 2*c wrt w?\nAnswer: -9198*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -3*z**2 + 5*z - 5. Let u(r) = -4*r**2 + 6*r - 6. Let q(x) = 6*c(x) - 5*u(x). Let p be q(-1). Solve -p = -i + 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -j - 2 + 3. Let x(o) = o**3 + 13*o**2 - 34*o - 6. Let a be x(-15). Let z be 102\/30 + -3 - a\/10. Put z, -2, j in descending order.\nAnswer: j, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4455 = -3026*r - 304029 for r.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*k**2\/9 - 4*k\/9.\nAnswer: -2*k*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:45 PM and 7:01 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:42 AM and 7:19 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/2 + 7*w**2\/2 + 6*w.\nAnswer: w*(w + 3)*(w + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -45372, -0.04, -243?\nAnswer: -45372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - -5) + -7 + 2 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-1\/3)*o**3*(o*o\/o**(-1))**(-4\/15) assuming o is positive.\nAnswer: o**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 16 = 3*d, -4*z + 33 = -2*d - 3. Let o be (-2)\/6 - (-92)\/6. Solve z*l + o = 2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 533626446.\nAnswer: 2, 3, 3299, 26959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -4*f - 5. Let z(c) = -8*c + 3. Let a(s) = 15*s - 3. Let v(x) = -3*a(x) - 5*z(x). What is 7*j(k) - 6*v(k)?\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*a**2 + 556 - 3*a + 3*a - 723.\nAnswer: -2*a**2 - 167","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*v - 9*v - 2*v - 7*v + 21*v.\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13020 (base 4) to base 8.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 121540263 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 65 - 63. Solve m*a + 3*s = 4*a + 2, -4*a + 2*s + 12 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4\/21 of a week?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jpjppjpppppppjjp. Give prob of picking 2 j and 1 p.\nAnswer: 11\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 579733477?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = 1012*c**2 - 97*c + 820. Is j(17) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + b + 6*b)*(2*b**2 - 2*b**3 - 2*b**2)*(-b - 4*b - 5*b).\nAnswer: 100*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14060, 56242, 126546, 224972?\nAnswer: 351520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6 - (4 - 82) - 0\/5 and 31?\nAnswer: 2604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0007197349115 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vjtvtpa?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -31*a**3 - 6*a - 6. Let q(x) = 1425*x**3 + 275*x + 275. Determine -275*d(g) - 6*q(g).\nAnswer: -25*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1)\/(-5)*(-4)\/2. What is the closest to 2 in -2, -5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(66)\/(sqrt(864)*-1 - sqrt(864)) - 3*3*2*sqrt(11)) + -3.\nAnswer: -433*sqrt(11)\/24 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = x**2. Let z(t) = t**3 - 34*t**2 - 36*t + 36. Let g be z(35). Let w(u) = 3*u**2 - 1. Determine g*w(p) - 4*d(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 2*v**2 - 3*v**2 - 1 + 1. Let y(n) = -1 + 1 + 0*n + 2*n. Calculate q(y(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*s**2 + 11*s**2 + 6*s**2 + (-2*s - 3*s + 4*s)*(0*s + s - 2*s) - s**2 + 5*s**2 - 3*s**2.\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -165 = 5*o + 2*a + 395, -4*o + 2*a = 466. Let s be o\/(-30) + 1\/5. Solve -5 - 3 = -s*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 56252?\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -15*f**3 + f**2 - f + 1. What is u(1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = i**3 - 6*i**2 + 3*i - 13. Let n be c(6). Let a(l) be the second derivative of -3\/2*l**4 + 2*l + 7\/10*l**n + 0*l**2 + 0 + 2\/3*l**3. Factor a(s).\nAnswer: 2*s*(s - 1)*(7*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**2 + 5140*r - 1320980.\nAnswer: -5*(r - 514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -77640 (base 8) to base 16\nAnswer: -7fa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 + 1. Let b(g) = 4*g**2 - 7*g - 11. Let r(o) = b(o) + 5*d(o). Calculate r(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9.6, -6, -0.5, 3, -3, -1.8 in ascending order.\nAnswer: -9.6, -6, -3, -1.8, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.2, -4, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r + 2*r + 7 = 5*z, -5*r - 3*z = -21. Suppose -15 = -r*h - 3*y, 2*y + y = 0. Find the third derivative of q**2 - 2*q**5 + q**h - 3*q**2 wrt q.\nAnswer: -60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in 1815, -0.02, -2\/7, -4, 3\/2, 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1105311 (base 6) to base 8.\nAnswer: 154513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -22.9 + 23. Put 2, 0.5, c in decreasing order.\nAnswer: 2, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3 + t - 3)*(-1 + 5 - 3)*(865*t + 953*t - 2134*t) in the form f + y*t + p*t**2 and give p.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 48bb6 (base 16) in base 6?\nAnswer: 10215114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -4*(-26)\/174 + (-316)\/474\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9271799 smaller than 9271799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21\/(-9) - 64\/(-48)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -45, -117, -201, -297, -405, -525, -657?\n\"Answer: -6*j**2 - 54*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 4, 9, -1892, 7 in descending order.\nAnswer: 9, 7, 4, -3, -1892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -35, -43, -51?\n\"Answer: -8*v - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jsw when three letters picked without replacement from {w: 1, c: 1, j: 3, s: 9}.\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes before 2:33 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f*f\/(f*f*f*f*(f*f**(2\/25))\/f*f))**(-8\/11))**(-1) assuming f is positive.\nAnswer: f**(-56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = a - 5*m - 1573, -5*a - m + 7853 = 0. List the prime factors of a.\nAnswer: 2, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1316 and 376564.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(m) = 6*m - 17. Let v(x) = 6*x - 17. Calculate 3*v(a) - 2*z(a).\nAnswer: 6*a - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 2)*(s - 4 + 4) + 38*s + 1 - 74*s - 11.\nAnswer: -39*s - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 15.31 or -1.484?\nAnswer: 15.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8984376 is divided by 628.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 244790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/3)\/((-5)\/1245). Suppose -2*m = -4, -5*m = 3*n - m - o. Solve 0 = -3*c - 2*c + n for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1158 = 13*g - 12. Calculate the greatest common factor of 126 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 785 - 731 = 9*m. Let x(t) = -2*t**3 - 8*t**2 - 2*t + 7. Let c be x(-4). Suppose -4*g + 3*g = 0. Solve -3*u + m*u - c = g for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1512, -2914, -4316?\n\"Answer: -1402*x - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -6*x - 30. Let k be j(-5). Let g(b) = -3*b**2 + k - 11 + 11. Let z(w) = -32*w**2 + 1. What is g(z(m))?\nAnswer: -3072*m**4 + 192*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2708*p = -2627*p + 3437 - 11618 for p.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8 + -2 + (661 - 681).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2  (b) 4  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5694 and 102.\nAnswer: 96798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -1617 < -0.049427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wnnn when four letters picked without replacement from {p: 2, w: 6, n: 5}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28585 - -212.967939.\nAnswer: -28372.032061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 3, w: 13}. Give prob of picking 1 w and 1 q.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29 = -3*r + 2*h, 20*r - 21*r = -4*h + 43 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 7*n**3 + 6*n**2 - 6*n + 5. Let b be 1\/2*-2 + 22. Let f = -15 + b. Let r(h) = -15*h**3 - 13*h**2 + 13*h - 11. Give f*r(p) + 13*g(p).\nAnswer: p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-6))\/(4\/12). Suppose 135 = -n*i + 7*i. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16204 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 2*q + 3*m - 9, -5*q = -m - 33. Let t(i) = i**2 - 7*i + 1. Determine t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 561.6 rounded to the nearest ten?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.08606 to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1*(-40)\/48*3315\/325.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 13391862 divided by 405814.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2\/3*b**2 + 8 + 2\/3*b.\nAnswer: -2*(b - 4)*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2140204115?\nAnswer: 5, 7, 67, 241, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pdpmjd. Give prob of sequence jpdp.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/84*-7)\/(((-15)\/(-6570))\/((-11)\/44)).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = 2*p**2 + 8*p - 5. Calculate x(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 14566 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(5 + sqrt(468)*-1).\nAnswer: -20 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = u**3 - 5*u**2 - 2*u - 1. Suppose -2*y + 7*l = 3*l + 6, 4*y = l + 16. Let q be p(y). Let f = -7 - q. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1095*m - 1064*m - 1077*m + 3235*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 6707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the first derivative of 1\/9*c**3 + 1\/12*c**4 - 1\/6*c**2 - 1 - 1\/3*c. Factor h(r).\nAnswer: (r - 1)*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5672.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -7. Let w(t) = -3. Let i(n) = -2*k(n) + 5*w(n). Let y(u) = 378*u**3 - u**2 + 3*u + 5. Let v(f) = -2*i(f) - y(f). Is v(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**(5\/11)\/n**(1\/16) assuming n is positive.\nAnswer: n**(69\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-540)\/39 + 6\/(-39). Let c = k + 18. Suppose -4*r - 2*q + 0*q = -58, -c = -2*r + 4*q. Calculate the smallest common multiple of r and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1472202 is divided by 73.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1610*h + 81 = -1601*h. What is the highest common divisor of h and 243?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -8.3171 times 72\nAnswer: -598.8312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = 3*w + 2 - 5 + 3. Let c(s) be the second derivative of -s**4\/4 - 71*s. Determine c(q(x)).\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:40 PM and 2:45 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 46\/5 of a microgram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 1 + 0)*(3 - 5 - 5)*(102*i + 1084 - 1084) in the form l + b*i and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -4 + 3 - (0 - 3459\/3). Suppose 3*t + 15 = 2*y, -4*y - 2*t + 37 = -t. Calculate the greatest common factor of y and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/58508621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -320 + 17*v**4 + 2*v**2 + 155 + 161 in the form r*v + a*v**3 + f*v**4 + l*v**2 + h and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -r + 11. What is the lowest common multiple of 28 and v(-11)?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 43  (b) -0.4  (c) -4  (d) -0.3  (e) -0.02731  (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the third derivative of 73*u**4\/8 + 67*u**3\/6 + 10*u**2. Let v(m) = -109*m - 33. Let n(r) = 6*h(r) + 13*v(r). Is n(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Is 3812759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 48907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in -10, -3, -1\/3, -11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 394 minutes after 4:35 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -39*y + 65. Is z(-10) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -19 in 0, 1, 36.8, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 48197171, 48197120, 48197041, 48196940, 48196823?\nAnswer: 48196696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 623171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1467343479 rounded to the nearest 1000000?\nAnswer: -1467000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 25*v**2. Let t(p) be the third derivative of -p**4\/24 + 46*p**2. Give t(q(j)).\nAnswer: -25*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2, 6, -3\/4, -3, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27*w**2\/2 - 2305777*w\/2 + 170798 = 0 for w.\nAnswer: 4\/27, 85399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 3743586 a multiple of 803?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 35 - 20. Calculate the remainder when (-6)\/3 + 1 + 58 is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000001831367 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*sqrt(5)*1 - sqrt(5) - (sqrt(10)*-2 + sqrt(10))\/sqrt(2).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 6*t - 15. Let p = -23 - -29. Let y be s(p). Solve 2*o = -4*k + 18, -5*o = k + k - y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/34)*c**(1\/52)\/c)**(-8) assuming c is positive.\nAnswer: c**(1786\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = 8*p**3 + 4*p**2 - 4*p + 2. Let m be l(2). Let f = -73 + m. What is the nearest to 0.1 in f, -5, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -213*u - 1105 = 8*u. Let x(z) = 9*z + 18. Let n(d) = d + 1. Calculate u*x(v) + 90*n(v).\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, -1, -0.4, -1\/1345.\nAnswer: -13, -1, -0.4, -1\/1345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhs when three letters picked without replacement from uiivsiuhiiiuhiti.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5701 - 5702. Which is the third biggest value?  (a) -3.22  (b) o  (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -9 - -4. Let z be (0 - -3) + h - -4. Suppose 134 = 4*d - b, -d = 3*d + z*b - 140. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 434 + -429. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.06  (b) 0.552  (c) 4  (d) -1\/13  (e) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -108 + 113. Is d >= 0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 16*i**4 + 9*i**4 + 93*i - 92*i + (-2*i**2 + 3*i**2 - 2*i**2)*(-3*i**2 - i**2 + 3*i**2).\nAnswer: 26*i**4 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 66, -5, -1 in decreasing order.\nAnswer: 66, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5404814989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 14298397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 9\/6 + (-326)\/(-4). Let i = y - 78. What is the second derivative of 0*d - 26*d**4 + 12*d**i - 9*d wrt d?\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3553, 3589, 3649, 3733?\n\"Answer: 12*o**2 + 3541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3600 + 3519 + 1035 - 23*h**3.\nAnswer: -23*h**3 + 8154","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -24251, -24269, -24287, -24305, -24323, -24341?\n\"Answer: -18*q - 24233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -29920 divided by -374.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 36.78 - 37. Let x = 25.44 - 27.44. Which is the nearest to o?  (a) 5  (b) x  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a factor of 49965935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 + 4 + -1 - 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.0108 + -0.2892. Which is the nearest to -1?  (a) -2.3  (b) 1  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 19\/9 + -16\/9. Let w = -0.3 + 0.1. Let q = w - -0.3. Is n > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16 - 2344942427483\nAnswer: -2344942427467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 7*t**2 - 210*t - 220. Determine a(31).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:20 PM and 4:44 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by -40408879.\nAnswer: -5\/40408879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 3 = -4*f. Does 4 divide 2*(-2)\/f*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 31724 and 1596.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 633 - 286. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.13 - -16.13. Let i = f + -12. Which is the biggest value?  (a) -0.1  (b) i  (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/13)\/(l\/(l**(-1\/21)*l)*l)*((l*l\/(l\/((l*l**(-1\/2))\/l*l)))\/l)**(13\/6) assuming l is positive.\nAnswer: l**(-15\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.34630521 from -1166.\nAnswer: -1170.34630521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (18\/(-7))\/((-3)\/154). Suppose 18 - q = -3*d. Does 19 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2*(-2 + -3 + 178)?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the third derivative of -181*h**6\/5 - 73*h**5\/60 - h**3 + 3494*h**2. What is the third derivative of b(l) wrt l?\nAnswer: -26064","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**2 + 15*j - 11. Let l be x(14). Solve 3*b - l = -0*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = 7*v - 17. Let z be l(5). Let j be 96*(-4)\/((-32)\/z). Suppose b + 110 = t, -4*b - j = -t - t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1430 and 650.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2362527 by -262503.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -201 or -126099?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -1*2\/10 - (-1105)\/25. Let y be 11\/l - 183\/(-4). Let k = y - 50. What is the smallest value in -0.2, 0.5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 2*v + 5, 19*v - 12*v = -35. Put 61, -4, 18, k in ascending order.\nAnswer: k, -4, 18, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2763 + -3?\nAnswer: -2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 3343 + -1375. List the prime factors of w.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1387\/144 + 147\/16. Let g = -21.9 - -21. Put -1, h, g in ascending order.\nAnswer: -1, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4*(5\/(-5))\/2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) be the third derivative of -t**4\/24 + 2*t**2. Let u(m) = 7*m**2. Suppose 5 = -5*q - 0*q. Let a(y) = y**2. Let j(v) = q*u(v) + 5*a(v). What is j(z(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-7)*m*m**(-9)*m\/m**1*(m\/(m*m**(2\/9)*m))\/m)**(-26) assuming m is positive.\nAnswer: m**(4030\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 63 + -51. Solve d = -5*w + 4*c, 4*w + 12 = 7*c - 3*c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.3 and 0.9559892.\nAnswer: -0.28679676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, l: 2, t: 2, w: 4, f: 2, p: 1}. Give prob of sequence wh.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 - -26. Sort 0.1, 0, 4, y.\nAnswer: y, 0, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1894417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 3*d = 37, -2*c - 5*d - 10 = -10*d. Let t be (-4 - 195\/(-12))*40\/c. Calculate the highest common divisor of t and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0 - -0.5. Let q be ((-3)\/4)\/((819\/(-8))\/(-9) + -8). What is the fourth smallest value in 3\/2, m, -11, q?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -400 + 3?\nAnswer: -353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 82097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 572656 and 2576?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -18 + -77.561.\nAnswer: -95.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y - 5 = -5*h, -4*h - 6 = 10*y - 11*y. Let f be (-2824)\/(-64) + y\/(-16). What is the highest common factor of 132 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that -253*p**5 + 476*p**4\/5 + 3807*p**3\/5 - 3958*p**2\/5 + 916*p\/5 + 24\/5 = 0.\nAnswer: -2, -6\/253, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -16 times 436404?\nAnswer: -6982464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0 + -2. Let o = l - 0. Let k = 109 + -107. Which is bigger: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1819\/3 - -402005\/663. Put m, 1, -1\/3, -3, -1\/2 in descending order.\nAnswer: 1, m, -1\/3, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -910*u + 1827. Let y be a(2). Solve -17 = -y*s - 52 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 2*v**3 - 22*v**2 + 4*v - 10. Suppose -68155*d - 55 = -68160*d. Give p(d).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6543 is divided by 175?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z**5 - 55*z**3 - 90*z**2 - 40*z = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 1749. Let k(d) = 174*d**2. Give z(k(f)).\nAnswer: 174*f**2 - 1749","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l = -3*l. Let f(n) = -4*n - 85. Let q be f(-22). Solve 3*r - 4*r - 2*w + 7 = l, q*r - w - 14 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 272 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1044*i + 10 = 4*b + 1039*i, 5*b = -8*i + 41 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 13\/9116226 and 107\/21271194.\nAnswer: 63813582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -16 - ((-8 - -14) + (20 - 4) + -11)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-27)\/(-6) + 2\/(-4). Let c be 6\/m - (-3)\/6. Let h(t) = 3*t - 9*t - 5 - 2*t**2 + t**c. Determine h(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5689, -8655, -11629, -14617, -17625?\nAnswer: -20659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-9)\/((-54)\/(-4)) + (-2)\/(-3). Solve -3*n + z = -5, y = -4*n - 5*z + 20 - 7 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5525?\nAnswer: 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 4 + 3 + (-1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -143 divided by 143\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-84)\/8 - -7)*8\/(-70). Let n(h) be the first derivative of -8 + 0*h**4 + 0*h + 8\/3*h**3 + 0*h**2 - j*h**5. What is the third derivative of n(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2\/(-4) + (-72)\/(-16). Solve -3*s = s + m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -53*x - 416. Give k(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 43337?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*p + 4081*p = 136917 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -2*x**2 - 31*x + 302. Let i be l(-22). Let m(t) be the third derivative of 0*t - 5\/24*t**4 + 2*t**2 + i + 7\/6*t**3. Calculate m(5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.204 take away 8?\nAnswer: -8.204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 541408 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.054 greater than or equal to 7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24\/35 + 194\/385. Let q = 42\/5 - 8. What is the nearest to q in -1\/4, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(2\/61))**(-2\/23)\/(t*(((t**(-18)*t)\/t)\/t)\/t*t*t*t**(-5\/6)) assuming t is positive.\nAnswer: t**(150097\/8418)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1\/703 + -2777\/24605. Let d = 2\/7 - j. What is the nearest to -0.2 in -1, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) be the second derivative of 39*u**5\/20 + 44*u**3\/3 + 2*u - 35. Find the second derivative of m(l) wrt l.\nAnswer: 234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-5467)\/(-5830) + (10 + -2)*1\/(-212). Factor 3\/5*c**3 - 3\/5*c - 1\/10*c**4 + y - 4\/5*c**2.\nAnswer: -(c - 3)**2*(c - 1)*(c + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2 and 3968.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00026032974 to 7 dps.\nAnswer: 0.0002603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 22 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3*(-110)\/(-99))\/((-5)\/(-6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -278 = -2*h + 612. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 11.3 and -0.34.\nAnswer: -3.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**4)**(2\/121)*(x\/x**14)\/(x\/(x**(-9)*x)) assuming x is positive.\nAnswer: x**(-2654\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -6 - (3 + -17) - 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 2198\/13, -1, -1\/6, 2\/11, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -25*x - 21*x - 19 + 70*x - 22*x. What is the units digit of n(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*w + 8 = i - 7, -4*i - 10 = -2*w for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0196974651 rounded to three decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1*sqrt(1216)*4 - (-5 + 0 + sqrt(1216) - sqrt(1216))) + -5 + 3)**2*-1 + -2.\nAnswer: -19467 - 192*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -42, -354, 0, 5 in descending order.\nAnswer: 5, 0, -42, -354","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f, 1 p, and 1 e when three letters picked without replacement from febbfbpeekfffbeebbef.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (12 + (1 - 33)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 3*b**2 + 17*b - 2. What is the remainder when 4 is divided by y(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -33*p + 38008 = 13588. Calculate the highest common divisor of 407 and p.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k + 3 = y + 2, -3*y + 3 = 0. Let i = -1.4 + 0.7. Which is the second smallest value?  (a) i  (b) 4  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dftdtolflttol. Give prob of picking 1 l and 1 o.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nnff when four letters picked without replacement from {n: 3, f: 7}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 3062 = 3*s, 0 = -s - s - 5*a + 2058. Suppose -4*x - 2*b + s = 0, -4*x + 890 = 5*b - 146. List the prime factors of x.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 27 and 8559.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 915350658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:30 PM and 10:40 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (3\/12)\/((-111)\/16 - -7). Put s, 44, -3 in ascending order.\nAnswer: -3, s, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -11 - -48. Calculate the greatest common factor of o and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.07 times -0.01952?\nAnswer: -0.0013664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w = 20, 5*u - 2*w - 4 = 3. Let q be (-575)\/(-69)*12\/10. Suppose -v = -u*y - 11 - q, -3*v + 70 = -2*y. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of -3*f**4\/2 + 3*f**3 - 5*f - 10. Let d(p) = -3*p**3 + 4*p**2 - 2. Calculate -4*b(i) + 9*d(i).\nAnswer: -3*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 19.7 + -20. Which is the nearest to 1\/4?  (a) 3  (b) d  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 629551 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Add together 0.6 and 0.5318.\nAnswer: 1.1318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*x, 0*b = -2*b + 4*x + 14. Let l be 297\/1760 - (b - (-14)\/(-5)). Is l less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 36768418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.98 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 765439 is divided by 2392?\nAnswer: 2391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3153 + 5955?\nAnswer: 8aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3 + 2.7. Let q be 133\/345 + (-2)\/5. Let n = -131\/483 + q. What is the smallest value in 1, n, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -31*c**4*u**2 - 104*c**4 - 2*u**2 - 287*u + 5 wrt c.\nAnswer: -124*c**3*u**2 - 416*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 5, y: 3, x: 2, p: 1, c: 6}. What is prob of sequence xc?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 3 + 3)*(-3 + 3*p + 3)*(1 + 0 + 1) + (8 + 1 - 1)*(3 - 3 + 2*p).\nAnswer: 28*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y - 2. Let u(l) = 8*l**2 - 1. Let v be u(-1). Let w be a(v). Solve -2*j + 5 = -z - 2, -w*z + 4*j = 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 2*f**2 - 6*f - 13. Let p(j) = 7*j - 16. Let m be p(3). Calculate h(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 4*c, -6814770 = -s - 3*c + 67617. Suppose -g - s = -25082381. What is g rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-40)\/(-140) - 80\/(-14)*1. Let l(s) = -s**2 + 10*s + 8. Let x be l(g). Calculate the highest common divisor of x and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -43 - -42.47. Let z = -2.72 + 4.25. Let s = v + z. Which is the closest to s?  (a) 1  (b) 2\/5  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*j + 1381 = 1353. Let s(c) be the third derivative of 0 + 0*c + 4*c**j + 1\/6*c**4 - 5\/6*c**3 + 1\/30*c**5. Calculate s(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = 4*g - 238. Let o = 64 - g. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 2 = 3. Let f be ((-3)\/2)\/(3\/(-824)). What is the common denominator of f\/112*2\/k and -87\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -532589*r**3 - 260319?\nAnswer: -1597767*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -8 times 3.39\nAnswer: -27.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2\/(-3)*((-171)\/18 - -8). Let k = -10 + 17. What is the highest common divisor of o and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((4\/14)\/(((-660)\/70)\/11))\/(1\/27).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum 5 and -7511585.69502.\nAnswer: -7511580.69502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**4\/5 - 36*t**3\/5 + 419*t**2\/5 - 1416*t\/5 - 1872\/5.\nAnswer: (t - 13)*(t - 12)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 100, 105, 112, 121, 132, 145, 160?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22034?\nAnswer: 2, 23, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 223202401 to the power of 1\/2, to the nearest integer?\nAnswer: 14940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -2 - 5*b - 3*b + 3*b. Let a be ((-9)\/(-12))\/(-1 + (-35)\/(-56)). Determine y(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*r + 7*r + 72 = 0. Suppose -3*a + 400 = 3*v + 22, 0 = v + 5*a - 110. Let c = v - 126. Solve c*o + 16 = d + 4, 0 = 5*d - r*o + 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 142205 divided by -5\nAnswer: -28441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(637)*1 + -2)*5.\nAnswer: -10 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 146 divide 67487328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/5, 4, -1\/50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19786413 or -19786406?\nAnswer: -19786413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the third derivative of -7\/6*l**3 + 3*l**2 - 4*l + 0 - 89\/24*l**4. What is the derivative of y(h) wrt h?\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 18\/13 - 12\/13*p + 2\/13*p**2.\nAnswer: 2*(p - 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than -1104854?\nAnswer: -1104854.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round 3942778000 to the nearest one million.\nAnswer: 3943000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 221.685  (b) -4  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 88\/7  (b) -0.3  (c) -2  (d) 810\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1\/3548 + 885\/7096. Let r = 5 - -1.9. Let b = r - 7. What is the second biggest value in 2\/11, 0.4, b, d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 9 (base 11) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 496 a factor of 52794388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 7768 - 4?\nAnswer: 7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from kgcbf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*w = -20. Suppose 0 = -6*m - 10 + 22. Solve 2*d = w - m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.05  (b) 3\/17  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-100*r + 7*r**2 + 100*r)*(-35 + r + 145 + 0*r).\nAnswer: 7*r**3 + 770*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 3*c**2 - 7*c + 27. What are the prime factors of d(-9)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (36\/(-8) - -5)*-18. What is the least common multiple of -50*(14\/(-10) + 1) and ((18\/(-5))\/j)\/(2\/70)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -23\/8 and -43\/101.\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-eight sevenths of a week in minutes?\nAnswer: 54720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(99) + 1 + (sqrt(99) - ((sqrt(99) + -1 - sqrt(99)) + sqrt(99))) - (-1 + sqrt(99) + 5))**2 + -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -e6 + 2?\nAnswer: -e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 200 - -1011100211122222?\nAnswer: 1011100211200122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.26 * -76800\nAnswer: 19968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -50*b + 52*b - 10. Solve -2*i + 12 = -2*r, b*i - 9 = -r - 3 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (44 + -4)\/(2\/(-8)). Let q be i\/(-234) + 52\/(-234). Factor -10\/13*h - 2\/13*h**2 - q + 2\/13*h**3.\nAnswer: 2*(h - 3)*(h + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 22 - 13.1. Let c = 9 - v. Put -6\/5, c, 3 in ascending order.\nAnswer: -6\/5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-705)\/(-150))\/(-1)*(-10)\/1. Solve -3 + 50 = h*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -1730 + 1791\/2. Let j = -7509\/10 - q. Is j bigger than 85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35197000 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(112) + 3 - (3*(sqrt(112) + -1 - sqrt(112)))**2 - (-2 + sqrt(112))**2*5*-4.\nAnswer: -316*sqrt(7) + 2314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*b**4 - 18191705*b**3 + 2*b**2 - b + 29848374 wrt b?\nAnswer: 72*b - 109150230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 6 + -455412?\nAnswer: -455403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 45.31112 + -0.2?\nAnswer: 45.11112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2\/11*n**5 - 14\/11*n**4 + 0 - 34\/11*n**2 + 34\/11*n**3 + 12\/11*n = 0 for n.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 69337, 69336, 69335, 69334, 69333, 69332?\nAnswer: 69331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add -4 and -114.76.\nAnswer: -118.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1176, 1178, 1182, 1188?\nAnswer: 1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 2\/11  (b) -18  (c) -19  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 805017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-1)\/144)\/(63\/(-14)). Let d = o + 2905\/7128. What is the common denominator of d and -85\/12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1705 * 3.2.\nAnswer: -5456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 5356 + -285?\nAnswer: 5061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from seyss. What is prob of sequence eys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 22087793.\nAnswer: 7, 13, 18671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1 - -16. Let t(v) = 1190*v + 4097. Let k be t(-3). What is the highest common divisor of m and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkqa when four letters picked without replacement from kaqakaq?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4286 is divided by 4264?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*h**2\/3 + 1196*h\/3 - 398.\nAnswer: -2*(h - 597)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*c - 12, -5*c + 370 = 5*a + 330. Let o(f) be the second derivative of -5\/2*f**a + 0 + 22*f + 1\/12*f**4 - 1\/6*f**3. What is o(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = 30*s - 25*s - 10, -2*s + 3*l = 9. Suppose 0 = -s*k - 12*k + 45. What is the fourth biggest value in k, -0.3, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/sqrt(6))**2*1 + 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -3*c - 8. Let o(k) = -10*k - 25. Let f = -4 - -2. Let d(r) = -3*r + 1. Let j be d(-2). Let x(z) = f*o(z) + j*n(z). Give x(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ggwgww. What is prob of picking 2 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*j + 2 + 0*j - j)*((4*j - 3 + 3)*(6 - 6 - 8*j) + 3*j**2 - 5*j**2 + 6*j**2 + 4*j**2 - 4*j**2 + 4*j**2).\nAnswer: -48*j**3 - 48*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, w: 12, e: 3}. Give prob of sequence neee.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 21814?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -3*z + 4. Suppose -2*n - z = 3. Let y be ((-18)\/15 - n)*-5. Is y < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30041010 + 10?\nAnswer: 30041020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -6740000 rounded to the nearest 100000?\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/5*810\/(-324)*4\/(-2)*21?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**2 + 29*m - 36. Let f be i(-16). Let y be (-5 - 365\/(-25))\/(2\/20). What is the greatest common divisor of y and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -2\/7, 1, 0.5115925 in ascending order.\nAnswer: -2\/7, 0.4, 0.5115925, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1*2\/(-8) - (-1482)\/312. Let a be 26\/6 - 2\/6. Suppose -x*v - o = -40, -a*v + v - o + 22 = 0. Is 9 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -251 or 5777?\nAnswer: 5777","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, p: 2, s: 5, j: 1, k: 2, r: 1}. What is prob of picking 1 r and 1 p?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 5 + -4.7. Let r = -3.4 - -3. Put n, r, -0.5 in decreasing order.\nAnswer: n, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-o + 2*o + 2*o)*(o + 4*o - 4*o)*(3 + 2 - 8).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 2*n**2\/15 - 7913572*n\/15 + 7828077724898\/15 = 0.\nAnswer: 1978393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 17808 and 2648268?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(315)\/sqrt(7) - (sqrt(35)\/sqrt(7))**2*-4.\nAnswer: 3*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d**2\/5 - 36*d\/5 + 68\/5 = 0. What is d?\nAnswer: 2, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 - 13*c - 3*c - 2 as k + f*c and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 4*r - 2. Let u be (-1)\/(-1) + -2 + 8. Suppose 5*m = -2*y - 7, 5*y + 3*m = y + u. Is o(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-1*sqrt(95)\/sqrt(5))**2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*(-74 - 25*n + 74).\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/23)\/(j\/(j\/(j*j\/(j*j**(3\/8)))*j)))**(1\/4) assuming j is positive.\nAnswer: j**(53\/736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2 + -31221?\nAnswer: -31223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1 - -9. Let l = 73 - -55. Calculate the highest common factor of k and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.1 - -797884\nAnswer: 797884.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**6*r*r\/(r\/(r**3*r*r)))\/(r\/((r**(-1\/6)\/r)\/r*r)*r*r\/r**(-3)))\/(r**(1\/6)\/r**(2\/5))**41 assuming r is positive.\nAnswer: r**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 365*(-80)\/600 + ((-5)\/3 - (-16)\/(-24))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28127963893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*(-24)\/360 + (-243)\/(-765).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -l**3 - 2*l**2 + l. Let m be j(-3). Let p = -24 - -26. Suppose 2*s - p = m. Calculate the highest common divisor of 16 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -2.3125?\nAnswer: -1.6875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 105*b - 465 - 127 + 67. Solve -31 = -5*x + 4*r, 0 = -b*x + 2*r + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 19580, 22504, 25428, 28352?\n\"Answer: 2924*o + 16656","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 38064023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = 5*s**3 + 54*s**2 + 103*s - 74. Calculate k(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 28\/45 and -97\/31520.\nAnswer: 283680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 1561643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -12325351 + 12236371.898. Let r = w + 88891. Let p = 88 + r. What is p rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 127437 + (-25 - -6) + 11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1267 and 10547956.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 694*n**2 - 583*n**2 + 4815*n**2 + n - n.\nAnswer: 4926*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*l = -l - 3*k - 16, -4*l - k = -23. What is the second derivative of -8*t**3 - 3*t**l + 10*t**3 + 11*t - 2*t**3 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 127\/3340 and -103\/20?\nAnswer: 3340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -4*n - 5. Let y be 4\/22 - 138\/33. Let u be z(y). Is u greater than or equal to 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -22*(12\/(-8) + 1). Let f(n) = n - 6. Let i be f(y). What is the third derivative of 12*z**2 + 3*z**i - 137*z + 137*z wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 PM and 11:59 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w**3 - 9*w**2 - 8*w + 3. Suppose -m + 32 = -5*m. What is the remainder when 7 is divided by y(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4)\/(-112)*((-20)\/5 - -3)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 367174 is divided by 183474?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n - b + 1058 = 4*n, 0 = -3*n + 3*b + 1578. Let f(z) = z**2 - 2*z - 24. Let r be f(-6). Calculate the highest common divisor of n and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 10 and 296467410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8633*a**3 - 9*a + 40014*a**3 + 3866*a**3.\nAnswer: 35247*a**3 - 9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 - 2. Let s be (-13)\/(-5) + (-3)\/p. What is the derivative of -3*j**2 - 3 + 2*j**s - 3 wrt j?\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(363) - (-2 + (sqrt(363)*-2 - sqrt(363))) - ((2*sqrt(363) - sqrt(363)) + 1 + sqrt(363)))*3)**2 + -5.\nAnswer: 396*sqrt(3) + 13072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-5*(sqrt(272) + (sqrt(272) - (sqrt(272) + 2 + sqrt(272))*3) + sqrt(272)) + (sqrt(272) - 3*(sqrt(272) + 1))*1)**2.\nAnswer: -186788 - 11232*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 273d2 (base 15) to base 13\nAnswer: 4530b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -6*s**2 + s. Let f = -365 + 366. Suppose 3*a - 3*u = -6, -5*a + 3 - f = -u. Determine c(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -3 + 28 + (-1)\/1. Let h = t + 5. List the prime factors of h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 2\/11, -0.2, 93 in descending order.\nAnswer: 93, 2, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 175 minutes after 6:16 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) be the first derivative of 0*n + 89 + 0*n**3 - 60*n**4 + 15\/2*n**2. What is the second derivative of z(k) wrt k?\nAnswer: -1440*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-1 - 0) + (19 - -6 - 20). Solve 0 = -4*z - 0 - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 94613 smaller than 94597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -522 = 26*y - 80. Let t(i) = -8*i + 7. Let s(w) = 24*w - 20. Give y*t(j) - 6*s(j).\nAnswer: -8*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.02107 - -0.09107. Put w, 0.5, -14, 2\/49, -2\/13 in decreasing order.\nAnswer: 0.5, w, 2\/49, -2\/13, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 493276?\nAnswer: 2, 7, 79, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34912.\nAnswer: 2, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 2*u**2 + 2*u + 6. Let s(l) = 3100 - 6206 + 3105. What is n(c) + 5*s(c)?\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10335*o**3 + 9135*o wrt o?\nAnswer: -62010*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -50.05 + 46. Let m = -0.05 - r. Sort 0.03, 1, m.\nAnswer: 0.03, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-1*sqrt(162)*-5 + 0)**2.\nAnswer: -8100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + 3 = 15. Let r(m) = m**3 + 9*m**2 + 12*m + 3. Let f be r(-6). Suppose 3*t + s*y - 2*y = f, 5*y = -t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*v + 6 - 4 + 0)*(0 + 2 - 3)*(3 + 4 + 1) to x*v + s and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*sqrt(832)*2)**2 + -1.\nAnswer: 29951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 25, 0*y - 4*t + 16 = -2*y. Put -1, -3, y in descending order.\nAnswer: y, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -241224 + -21?\nAnswer: -241245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 8:59 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h\/h**5)*(h\/(h*(h*h**5)\/h))\/h)\/((h*h**(2\/21))\/((h**(-1)\/h*h)\/h)))**19 assuming h is positive.\nAnswer: h**(-2033\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*b - 41 - 4 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 782281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 692291 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 5, y: 15}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-56 - -34 - 12) + 8.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g*g**(-1\/4)*g\/(g*(g**0*g)\/g)*(g\/(g*g*g**2))**(-43) assuming g is positive.\nAnswer: g**(519\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from hhyhhhhhojhjhy. Give prob of sequence yjjh.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from thtatttttthtttsttts. Give prob of picking 1 s and 1 h.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 3*(-5 - -146) + -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/9 or -11\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 5)*(-8 + 2 + 3)*(4*z**2 - 3*z**2 + 0*z**2) + (0*z**2 - z**2 + 0*z**2)*(145 - 179 + 147).\nAnswer: -98*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((r\/(r\/(r\/r**(2\/9)))*r**21\/r*r)**(6\/5))**(-33))**(5\/21) assuming r is positive.\nAnswer: r**(-616\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 8461 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -46821b6 (base 12) to base 9.\nAnswer: -27537613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*i**3 + i - i)*(-8*i + 3*i - 1 - 10*i) to the form f*i**2 + a*i + m*i**3 + o*i**4 + v and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*l = -53*l - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1118*h + 566*h + 636*h)*(-4*h + 0*h + 3*h + 2).\nAnswer: -84*h**2 + 168*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*q + 5 = -14*q. Let t(s) = -7*s + 1. Give t(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the third derivative of b**4\/6 - 41*b**3\/6 + b**2 - 67*b. Calculate z(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13*a**2 + 6*a**2 - 21*a**2 - 3*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = -f**3 - f**2 + f - 1. Let m(w) = -62*w + 64*w - 3*w**3 + 2*w**3 - 6 - 2*w**2. Let p(v) = m(v) - 2*z(v). What is the first derivative of p(c) wrt c?\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f**3 + 4*f**3 - 5*f**3)*(4 - 2 - 1 + 3*f) + (32*f**4 + 0*f**4 + 17*f**4)*(-7 - 10 + 5).\nAnswer: -582*f**4 + 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 715 is divided by 2\/(-9) + (-39566)\/(-657).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 18\/11, 3, 26, -3, 1 in ascending order.\nAnswer: -3, -2, 1, 18\/11, 3, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 + -3. Let l(m) = -m**2 - 5*m + 2. Let k = -17 + 18. Let h be (-155)\/(-30) + k\/(-6). Let y(i) = -i**2 - 3*i + 1. Calculate h*y(j) + w*l(j).\nAnswer: -2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 2*n**3 + 3*n**2 - 2*n - 2. Let d be q(-3). Let r = -21 - d. Differentiate 0*o**2 + o**2 + 4*o**2 - 5 + o**r wrt o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 287432?\nAnswer: 2, 19, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -34 - -35. Let n be c*(-40)\/(-18) + 2\/(-9). Solve 21 = n*f + 2*f - z, 3*z = 5*f - 35 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 8829\/2 - 4553. Let z = t + 135. Which is greater: -5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -154, -245, -380, -565, -806?\nAnswer: -1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-66*j + 55*j - 161*j)*((2*j + 1 - 1)*(-1 - 2*j + 1) - 9*j**2 + 7*j**2 - 4*j**2).\nAnswer: 1720*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes after 6:08 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.4*0.002\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 174394 is divided by 237?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1283 + 1283. Let d(u) be the second derivative of 0*u**2 + 0 + 1\/6*u**3 - 9*u + 7\/10*u**5 + l*u**4. Find the second derivative of d(v) wrt v.\nAnswer: 84*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 157937 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k**4 - 59901*k**3 - 59919*k**2 + 299529*k - 179712 = 0 for k.\nAnswer: -3, 1, 19968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = 93*l - 902. Calculate the remainder when g(11) is divided by 85.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 * 70.84.\nAnswer: 70.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*p + 337 - 375 = 0. Let m(j) be the first derivative of -7\/8*j**4 - 2*j - 2*j**p - 8 + 19\/6*j**3. Let m(o) = 0. Calculate o.\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 36898765 and 36898769 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -3*14\/((-182)\/984971) - (-7 - 2). What is k rounded to the nearest one thousand?\nAnswer: 227000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 246222442 and 246222442 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - q = -2*v - 13, -2 = -4*v - 2*q. Let x(g) = -2*g**2 - 7*g - 8. Let k be x(v). What is the closest to 0.4 in -4, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -23\/6 and -9\/2349092.\nAnswer: 7047276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 126 minutes before 4:03 PM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 - 7. Let i(r) be the second derivative of -r**6\/120 - r**5\/30 - r**3\/2 + 2*r**2 - r. Let g(k) be the first derivative of i(k). Determine g(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = -v**3 - 52*v**2 + v + 56. Let w be k(-52). Let g be ((-1)\/(-1))\/(4\/(-8)). Let o = g + 2. Solve o = w*d - 18 + 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7978890.6199943 - 7978891. Let u = -3.42 - -3.8. Let j = h + u. Round j to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91724.\nAnswer: 2, 23, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 84191.\nAnswer: 84191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -197329 + 6?\nAnswer: -197323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22.038 + -21.638. What is the nearest to -0.1 in -5, -3\/7, b, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 491525.\nAnswer: 5, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide -327563416 by -3.\nAnswer: 327563416\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 27 + -26. What is the closest to 0 in 2\/11, -0.1, z?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 4*o = -9. Suppose -u + o = 8. Let f(k) = -k**3 - 6*k**2 - 8*k - 7. List the prime factors of f(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = 2*d**2 + 6*d. Let a = 13 + -7. Let c(z) = -6*z**2 + 22*z - 35*z + 2*z**2. Determine a*c(w) + 13*i(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 24 and 24660?\nAnswer: 49320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dr when two letters picked without replacement from {n: 2, d: 6, r: 3, w: 7, q: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 144, 10697, 5 in increasing order.\nAnswer: -3, 5, 144, 10697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9092*z**2 - 8950*z**2 - 7*z + 18035*z**2 - 9*z.\nAnswer: -7*z**2 - 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1307 - 1087. Suppose -3*s - a + 160 = 0, s = -4*a + 3*a + 50. What is the highest common factor of h and s?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = -585*o**4 - 8*o**2 + 4*o + 53. Let a(f) = -587*f**4 - 6*f**2 + 3*f + 53. Let p(l) = 4*a(l) - 3*b(l). Differentiate p(m) with respect to m.\nAnswer: -2372*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -280, -407, -530, -649, -764, -875?\nAnswer: -982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-18768)\/(-646) - 1653\/57.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 15 + -13. Suppose -2*v + 12 = -h. Let p be (0\/(-5))\/(-2*1). Solve -m = 3*r - p*r + v, 3*m + r = -5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 33.5 + -37.5. Let f be (-1)\/(-4)*(-4)\/3. What is the closest to -2\/13 in t, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b = 5*g - 12, 0*g + 3*g + 3*b = 0. Let t be ((1 - 2) + 1)\/1. Let w(o) = -o + t*o - 3 + g. What is w(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1163510 is divided by 2399?\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) be the second derivative of -a**4\/12 + 19*a**3\/6 - 15*a**2\/2 - a. Let g be q(18). Solve 0 = v + 1, 0 = 2*l + 2*v + g*v + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 5*y + 5. Let a be o(-2). Let s(t) = -2*t**3 + 4*t**2 - 2*t - 1. Determine s(a).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20*r - 16 = 24*r. Let q be ((-6)\/(-9))\/(r\/6). Which is smaller: q or -4\/15?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -647, -1292, -1937, -2582?\n\"Answer: -645*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -881.771 rounded to 0 decimal places?\nAnswer: -882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -5*w + 3. Suppose 0*u + 7 = j + 2*u, -14 = -2*j + 5*u. Let p(g) = 9*g - 5. Let d = -273 - -266. Let i be -8*(56\/16)\/d. Determine i*p(a) + j*v(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47 = -5*m + 2*y, 2*y + 0*y + 3 = m. Calculate the remainder when m is divided by (5 - (-1)\/1) + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 926719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 51  (b) 0.1  (c) -20  (d) 1240  (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 5322659 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -10002*x**2 + 3775*x**2 + 17*x + 2 - 9 + 1 wrt x.\nAnswer: -12454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {q: 6, h: 5, o: 2}. Give prob of picking 2 h.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xxxiixiqxxi. What is prob of sequence ixxi?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = 23*c**4 - 2*c**3 - 38. Let t(f) = 24*f**4 - 3*f**3 - 39. Let g(u) = 3*m(u) - 2*t(u). Differentiate g(a) wrt a.\nAnswer: 84*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(2 + sqrt(112) + sqrt(112))**2 + 5 + 3 - (5*(3 + sqrt(112)) - ((sqrt(112)*1 + sqrt(112))**2 - sqrt(112))*4).\nAnswer: -196*sqrt(7) - 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 2309*y**2 + 3*y + 21. Let b(p) = 2308*p**2 + 2*p + 14. Give -3*b(z) + 2*t(z).\nAnswer: -2306*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 2409\/231 - (-20)\/35\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/(-3))\/(9\/54).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1915115 to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 542632 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 11227 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (9\/42 - (-4)\/14)*0. Calculate the lowest common multiple of 22 and (g + -21)*90\/(-63).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 261*d**3 + 604*d - 2 + 4*d**4 - 477*d**3 + 218*d**3 + d**2 in the form n*d**4 + u*d**3 + i*d + r + c*d**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 4*p + p + 3 = 0, 0 = -5*c - 2*p - 11. Let h be (-2)\/3 - (-1)\/c. Let g be (-15)\/(-9) - 2\/(-6). Put -3, g, h in increasing order.\nAnswer: -3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 84*h + 2098. What are the prime factors of b(105)?\nAnswer: 2, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*v - v - 30. Calculate the least common multiple of 2 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 293948 and 688.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -257.03 rounded to the nearest integer?\nAnswer: -257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4999.681 kilograms to tonnes.\nAnswer: 4.999681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 113 + -93. What are the prime factors of (-24)\/a*(-9685)\/26?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10102211 (base 3) in base 9?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -89 divided by -908?\nAnswer: 89\/908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/2)*y)**(-2\/27) assuming y is positive.\nAnswer: y**(-1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 222\/(-703)*(-47)\/((-78255)\/855)?\nAnswer: -6\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10202 + -1100?\nAnswer: 2102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 16, -298, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) -0.2  (b) 0.4  (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from tunrnxtrulnnln. What is prob of sequence turx?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 250490898?\nAnswer: 2, 3, 7, 1988023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 636122599 to the nearest integer?\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1962 and 76020306.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -63229.1109956 + 63229. Let p = g + 0.111. Round p to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*n - 10 - 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -8683696 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1162 = -w + 3*c, -c = 5*w - 2*c - 5852. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 50348093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 36 = 5*x + 3*m, 0 = -4*m + 16. Let y(r) = -r**2 - 8*r - 4. Let c be y(-7). Let f(k) = 4 - 2*k + c - 4. Determine f(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) be the third derivative of o**4\/12 + 5*o**3\/3 + 5*o**2 + 57. Let l(w) = 2*w. Calculate l(v(m)).\nAnswer: 4*m + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand -7*x**2 - 5 + 6*x**2 + 0 + x + (4*x - 5*x - x)*(2*x - 4*x + 3*x) - 4*x + 4*x - x**2 + (0*x + x - 4*x)*(-3*x + 6*x - 5*x) + 4*x**2 - 4*x**2 + 2*x**2.\nAnswer: 4*x**2 + x - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:09 AM and 4:56 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -151\/30 and -9\/3208.\nAnswer: 48120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 8323.123 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.0517 + 1.0683. Let o = -1.11999105 + h. Round o to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 1 = -4*k, 0 = 3*u + k - 47. Solve b = q - 2*b - 18, -2*q + 2*b = -u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-75)\/6)\/(-5)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*l - 20 = -2*x, 132*l - 133*l + 4 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -7*q + 23. Let w(f) = 12*f - 48. What is 7*d(n) + 4*w(n)?\nAnswer: -n - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 26970155 a multiple of 531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 42 divide 3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = x. Let d(k) = 2*k + 53. Calculate h(d(q)).\nAnswer: 2*q + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ogg when three letters picked without replacement from ooogooogoo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fof when three letters picked without replacement from {o: 5, f: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 4334032 - 12320?\nAnswer: 4321212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*t**2 + t + 82*t**3 + 8 - 9*t**2 - 5*t**4 - 5 - 4 - 8*t**2 as b*t**4 + k*t**2 + f*t**3 + a*t + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 108 = 6. What is the remainder when w is divided by 38\/4 + (-1)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v**2 + 20877*v - 104436. Calculate p(5).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -195\/22 - -1019\/110. Sort b, -2\/5, -5, 0.548 in ascending order.\nAnswer: -5, -2\/5, b, 0.548","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-60)\/40*13\/(39\/22)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13 + 16. Find x, given that -v*x**2 + 4*x**2 + 0*x**2 - 4*x**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 39569627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000082 to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 21, 41, 63, 87, 113, 141?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: -5340252 divided by 10\nAnswer: -2670126\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42 = 5*d + 3*k + 13, 0 = -4*d + 4*k + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b + b + 8 = 0. Solve -b*k + 0 = -4*r + 2, -3*k - 3 = 5*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -2*q**2 + 206*q + 1802. Calculate c(112).\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 260 - 261. Which is the second smallest value?  (a) 0  (b) -0.1  (c) -1\/8  (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 678 = 3*o + 3*o. Suppose 0*h + 30 = 6*h. Suppose -h*g = -o - 177. Is 16 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/(-2)*3*(-104)\/(-156). Let c be 9\/f - (15 - 22). Solve -c*y + 2*x = -0 + 12, -2*y - x = 10 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 1, q: 2, i: 4}. Give prob of sequence qq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -4*f**3 - 147*f**2 + 77*f + 1510. Let g be c(-37). What is the highest common divisor of g and 1735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9 - 7c8d70?\nAnswer: -7c8d79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -127065*u + 126525*u = 28620 for u.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 at least -3\/5516096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 15613116.1  (b) 1\/4  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -8.2 times -7.6\nAnswer: 62.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -133\/900 and -1\/28?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -20 + 323. Sort -3, k, -1\/3, -5 in ascending order.\nAnswer: -5, -3, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25276 + -1928.6?\nAnswer: -1928.85276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -853.8 - -854. What is the smallest value in -1\/4, -42, a?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that 159*i**4\/4 + 23213*i**3\/4 + 17052*i**2 + 4917*i - 12584 = 0.\nAnswer: -143, -2, -88\/53, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -3 (base 9) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seven quarters of a millisecond in microseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of g**5\/20 + 9*g**4\/4 + 2*g**3\/3 - 3493*g**2 + 1337*g + 2. Differentiate b(s) with respect to s.\nAnswer: 3*s**2 + 54*s + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 319*u - 192*u - 126*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.041300554 to three decimal places.\nAnswer: -0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 249 minutes before 11:24 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -425*r - 3840 = -43688 - 24752 for r.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor p**2\/11 - 159*p\/11 - 486\/11.\nAnswer: (p - 162)*(p + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 + 0 = -4*b. Let c(g) be the second derivative of -g**5\/20 - 5*g**4\/12 - 2*g**3\/3 + g**2\/2 - 1367*g. Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*-4*sqrt(425) - 4*sqrt(425)*6) + 5)**2 + 3.\nAnswer: -2000*sqrt(17) + 680028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -4665, -13.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 10 - 9.8589. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -38*a - 72 - 268 = 230 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1421258 by -156.\nAnswer: -710629\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Express (-203*f**3 - 181*f**3 + 108*f**3)*(-3 + 0*f - 2*f + 0) as c*f**2 + x + w*f**3 + o*f**4 + l*f and give w.\nAnswer: 828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the third derivative of -5*i**4\/24 - 8*i**3\/3 + 287*i**2 - 4*i - 1. Determine x(10).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -75*b - 1. Let r be m(-2). Let x = -94 - -94. Let z be r - 4\/1 - x. What is z rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 311940200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21 + 21 + 1803*f - 7316*f.\nAnswer: -5513*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tkjs when four letters picked without replacement from kjjsnklkjnjnjt.\nAnswer: 5\/8008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is d3b56 (base 15) in base 9?\nAnswer: 1232150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of 1\/2*t**2 + 1\/6*t**3 - 4*t + 0. Suppose -17 = -4*p - 1. Give w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - -1) + (0 - -2). Which is the biggest value?  (a) y  (b) -1\/3  (c) 1  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.33 - -287\nAnswer: 286.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 604310 and 8.\nAnswer: 2417240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1*2)\/((-7)\/(-7)). Let v = -2 + c. Let z(g) = 8 - 3*g + 2*g + 2*g - g**3 + v*g - g**2. Calculate z(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 + 0 - 1)*(-11 + 7 + 1465*q - 1461*q).\nAnswer: 16*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 86 divide 51661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 58208432, 116416863, 174625294, 232833725, 291042156, 349250587?\nAnswer: 407459018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = l**2 + l + 2. Let r(h) = 9*h**3 + 60*h**2 - 7*h - 15. What is r(g) + 6*w(g)?\nAnswer: 9*g**3 + 66*g**2 - g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 41257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -23 - -23.08. Let c = 6 - 3.92. Let t = c - l. What is the closest to -1 in -0.3, t, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or -95\/334911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49\/21*(69\/(-21) - -3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(1100)*-1 + 1 - (-1 + -1*sqrt(1100))))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 27786, 27779, 27772, 27765?\n\"Answer: -7*h + 27793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 174, -4, -2\/15 in increasing order.\nAnswer: -4, -2\/15, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c + 7. Suppose 2*o = h + o - 8, 0 = h - 4*o - 11. Let y be d(h). Suppose 0*z - 2*z + 18 = y. Solve 2*g - 1 = z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 3*m**2 + 21*m. Suppose 14 = -2*r - 0*r. Let z be c(r). Suppose 3*a - 779 - 478 = z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -58*o - 67*o + 1 - 1 to v*o + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -2 - (-45 - -43).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 + (-4 + 16 - 7) + -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 10971 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -c45ed23 + 3?\nAnswer: -c45ed20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18896623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 39896873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:28 PM and 7:37 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5)\/(-8) - 19\/76. Which is the biggest value?  (a) -4  (b) p  (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29038 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -114*t. Let u(v) = 4*v**3 + 218*v**2 + 115*v + 372. Let b be u(-54). Let z(m) = -38*m. Give b*g(s) + 19*z(s).\nAnswer: -38*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**(-2\/13)*o*o\/(o\/(o\/o**6*o)*o))**(2\/69) assuming o is positive.\nAnswer: o**(-82\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 7 + 1 = 0. Suppose -2*x + 31 - 3 = 2*m, 0 = 3*m - i*x - 7. Let t = 23 + m. Calculate the greatest common divisor of 256 and t.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32344, 64744, 97226, 129832, 162604, 195584, 228814, 262336?\nAnswer: 296192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -64, -72, -66, -46?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -1\/210*m**5 + 0*m - 7*m**2 + 0*m**3 + 0*m**4 + 0 - 1\/420*m**6. Let o(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(7) + -5*(sqrt(63)\/sqrt(9) + sqrt(7)) + sqrt(7) + (3*sqrt(21))\/sqrt(3) + sqrt(7).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1318?  (a) -1\/3  (b) -2\/57  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2864 (base 9) in base 12?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*a = 14*a + 48. What is the third derivative of -14*y**4 - 2*y**2 + 18*y**2 - a*y**2 wrt y?\nAnswer: -336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 506019590.\nAnswer: 2, 5, 19, 1237, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4969319 plus 0.2?\nAnswer: -4969318.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 409*b - 28 = 4*w + 414*b, 0 = -b - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 860848152.\nAnswer: 2, 3, 35868673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -145\/36 and 173\/1710?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -16?  (a) -1883  (b) 1  (c) 0.5  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3057 times 73?\nAnswer: 223161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p - 5*p = 0. Let h(z) be the second derivative of z + p*z**2 + 1\/12*z**4 + 1\/3*z**3 + 0. Find the second derivative of h(l) wrt l.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 66 and 3861?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 5*t**3 - t**2 - 9*t - 4. Let g be q(4). Let c = g - -129. What are the prime factors of c?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 5*i + 5*n, 9*i - 141598 = 2*n - 141659 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 207 minutes after 7:26 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 5, b: 3}. What is prob of picking 3 w?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 7*y - n - 52 = 0, -5*y - 4*n + 42 = 0. Let q = -5 + y. Solve -q*m - 6 = -7*m, 3*h + 4*m = 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r + 12 = -3. Suppose -33 = -3*v + y, -4*v + 5*y + 55 = v. What is the smallest common multiple of (0 - (0 - r)) + -1 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = 5*m + 14. Let n be s(-2). Suppose n*g + 5115 = 4*i - g, i - 1275 = 2*g. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*y**5\/13 + 4*y**4\/13 + 2*y**3\/13.\nAnswer: 2*y**3*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*v + 47 - 12 + 313 = 0 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55*c - 2684 = -654 + 1710. What is the remainder when 169 is divided by c?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t**5 + 5539*t**4 + 1745366*t**3 + 179522854*t**2 + 6197831771*t + 6020048743 = 0. Calculate t.\nAnswer: -101, -1, 5843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 7941, 7925, 7909, 7893, 7877?\nAnswer: 7861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = 2*k**2 + 32*k + 21. Let d be s(-15). Let n(o) be the third derivative of -o**4\/12 - 5*o**3\/2 - o**2. Let m be n(d). Solve m*q = -q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -15133 - -15137. Which is the second smallest value?  (a) n  (b) -2\/39  (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3624164 (base 8) to base 2\nAnswer: 11110010100001110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (4 - 1) - (-549 + 534)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 - -6. Let p(c) = 12387*c**2 + 3*c - 1. Let o be p(2). Suppose g - o + 122553 = z. Round g to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 130*b - 24. Is h(3) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1792 and 160?\nAnswer: 8960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*t - 0*t, -o = 4*t - 23. Suppose -2*g - 5*y + 131 = 0, o*g - 2*y = g + 96. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*n**4 - 79*n**2 - 87*n**2 + n**4 + 168*n**2 - 8 as j*n**3 + i*n**4 + r*n**2 + l*n + w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 1, 10, 17 in descending order.\nAnswer: 17, 10, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.1 - 0.05. Let j = d + -0.35. Let n = 4 - 6. Which is the second biggest value?  (a) 4  (b) j  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 91 + 125. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) be the third derivative of 25*n**6\/24 - n**4\/12 + 127*n**3\/2 + 159*n**2 + n. What is the derivative of u(s) wrt s?\nAnswer: 375*s**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 77836713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 33 + 90 = 17*r. Solve 2*m + 31 = 5*n, r*m + 9*n - 6 = 6*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-585)\/156)\/(3*(-5)\/60).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.017294230123 to 4 decimal places.\nAnswer: -0.0173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*m**2 - 87*m + 88*m - 5*m**3 - m**3 + 0*m**3 to d + y*m**3 + p*m + c*m**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide -4 by 32181.\nAnswer: -4\/32181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round 877.448162 to the nearest integer.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -18.8 and 5336.\nAnswer: -100316.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s = -2*s - 2*a - 226, 0 = 5*a + 25. Let t = 121 + s. Let w(f) = f**2 + 2*f + 5. Let x be w(-4). What is the highest common divisor of t and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2647 - -2613 - (-1 - 54)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -103\/268361100 and 121\/115011900?\nAnswer: 805083300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 3*1 + 0\/1. Let f be 2\/(-2) - (i + -2). List the prime factors of ((-2)\/(f\/7))\/1.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 + 24. Let u = x + -18. Solve u = -5*h + 41 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3)\/6*(0 - -2). Let m be (d - -31)\/(8 - 6). Solve -5*r = -10*r - m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 1, f: 1, t: 2}. What is prob of sequence ftct?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 107239\/6 or 17874?\nAnswer: 107239\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u and 1 r when three letters picked without replacement from {d: 1, u: 2, r: 1, p: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*m**3 + 37*m**3 + 5*m**3.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(2\/13)*p**(1\/12)*p**2\/p**0)**(1\/5))**(-43\/2) assuming p is positive.\nAnswer: p**(-15007\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 7 - 11 - -4 - (-5 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 9 and 1774.\nAnswer: 15966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 25031, 521, 1 in ascending order.\nAnswer: 1, 521, 25031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -a + 37*a**2 - 73*a**2 + 41*a**2 - 1345 + 907.\nAnswer: 5*a**2 - a - 438","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -78 + 78. Let o = 5\/4 + -1. Do o and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {i: 4, l: 10}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 3*t - 70. Suppose 2*l - 184 = -2*l. What is the remainder when l is divided by t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 6*k**4 + 55666*k**3 + 371070980*k**2\/3 - 25417432000*k - 76623200000\/3 = 0.\nAnswer: -14200\/3, -1, 190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 17*w - 0*w - 9639. Let h = 17 - 10. Suppose h*l - w = -2*l. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42759088 is divided by 135?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0239761 + -0.024. What is v rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 91 + -14. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10400 is divided by 3455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 188.03018 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -1030.\nAnswer: 2\/515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = h - 4, 0 = 5*l + h - 38 - 11. Suppose y + 2*y = 3, 0 = -2*t + 3*y + l. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 931 and 24059.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (464\/(-40))\/(90\/(-25)) + 60\/(-20)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 37211, 37258, 37307, 37358, 37411?\nAnswer: 37466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 615.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 55 and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 11:07 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1528 + -5?\nAnswer: -152d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) be the second derivative of -7093*m**4\/12 - 3833*m**2\/2 + 4967*m. What is the derivative of f(h) wrt h?\nAnswer: -14186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*h**3 + 5*h**3 + 13*h**4)*(1168 + 670 - 559).\nAnswer: 16627*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*u**5\/5 + 34*u**3\/5 + 72*u**2\/5 + 8*u = 0. Calculate u.\nAnswer: -2, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dlpdkdkdkkkkp. What is prob of sequence lp?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*(-2 + 57\/6). Suppose 5*x = 36 - 1. Let r = x - 5. Solve -2*d - 2*d = 3*c + 8, -h = r*d - 5*c for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6425 divided by -1.\nAnswer: 6425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rba when three letters picked without replacement from trrpahpb?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 14 + 6 + k**3 + 222387*k**2 - 222387*k**2.\nAnswer: k**3 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g - 4. Let v be k(6). Let u be (v\/6)\/(2\/(-6)). Which is the closest to 1\/3?  (a) 5  (b) 4  (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15 = -3*k, 3*u + 5 = -2*k + 10. Suppose 2*c - 2*w - 18 = 2, -3*c = 4*w + u. Solve 2*t - c - 3 = 4*g, 2*t = -8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2686?\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*t - 38*t + 67*t + 43*t**2.\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + -1 + sqrt(1300))*2 + (-6*sqrt(325) - (sqrt(78)\/sqrt(6) - sqrt(13))*-5))**2 + 3.\nAnswer: 80*sqrt(13) + 1319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ahrraxhajbr. Give prob of sequence arxb.\nAnswer: 1\/880","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 8614 + 1901 = 0. Let f be x\/25 - (-2)\/(-10). Calculate the highest common divisor of 14 and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68 = 23*f - 6*f. Calculate the greatest common factor of 1 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (30\/(-12))\/(2\/(-4)). Suppose z*t = 2*x, -2*x - 3*t = t. Factor -2\/9*s**2 + 2\/9 + x*s.\nAnswer: -2*(s - 1)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -95*m**2 + 1060*m - 83. Calculate j(10).\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 2 + 0. Suppose -4*p + q + 40 = -s*q, -30 = -3*p - 5*q. Suppose -5*r + 147 = -153. Calculate the greatest common divisor of r and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = q**3 - 10*q + 182. Give z(0).\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -2*u**2 + 2. Let o(g) = -2*g**2 + 3. What is 6*h(i) - 4*o(i)?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 112*u - 9. Let w(i) = 5*i**2 - 12*i - 19. What is t(w(q))?\nAnswer: 560*q**2 - 1344*q - 2137","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(w) = w**3 - 13*w**2 - 15*w + 19. What is j(14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 644135 and 1175?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 47 = 2*f - 3*g, -2*g - 26 = -f - 0*f. Calculate the least common multiple of 20 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zhopzopx. Give prob of picking 1 o and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -2*h**5\/7 - 16*h**4 + 4706*h**3\/7 + 16*h**2 - 672*h = 0?\nAnswer: -84, -1, 0, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -30*a - 198. Let o be (-3)\/(53\/106 - (-2)\/(-10)). Calculate the smallest common multiple of j(o) and 51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*h = 133 + 185. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 35159?\nAnswer: 35159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:33 AM and 9:14 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4bc9b2 (base 13) to base 5.\nAnswer: 431433443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the second derivative of 5*b**4\/4 - 6*b**3 + 6*b**2 + 400*b. Determine i so that x(i) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192 + 629*a + 390 + 56*a - 198.\nAnswer: 685*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 69, 78, 87, 96?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.185262 to 3 dps.\nAnswer: 0.185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/80189320 and -81\/1021520.\nAnswer: 160378640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v + 42 = 3*n, 5*v + 78 = -0*v - 3*n. Let o be ((-4)\/(-5))\/((-3)\/v). Suppose -7 = -k + 2*l + 4, 4*k + 4 = -o*l. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/126 - 8700600\/(-161217)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 - 6)*(-1727 + 1727 - 119*v).\nAnswer: 1190*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from nrlln. Give prob of picking 1 r and 1 n.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3433482 and 13266?\nAnswer: 37768302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3632 - -5559. Let x = -21169\/11 + a. What is the common denominator of x and (-4)\/(-14) - 3281\/238?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 173 smaller than 4622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Work out -103625808.085 - -22.\nAnswer: -103625786.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 - (1 - (-1 - 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1 - 1.4. Let m = -0.009 - 0.291. Let y be -2 - (-1)\/((-6)\/(-8)). What is the smallest value in m, v, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -254160 by 48.\nAnswer: -5295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 87278 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2.9 and -0.115.\nAnswer: -0.3335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -100110011010 (base 2) in base 8?\nAnswer: -4632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a\/a**(-31))\/(a\/a**(-19))*a**(-1\/31)\/(a\/a**(-2\/15)))**(-2\/71) assuming a is positive.\nAnswer: a**(-11006\/33015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 500\/(-2 - 53\/(-26)). Let z = -10 + 13. Suppose 2*l + w = z*l. What is l rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2  (b) 0  (c) 4  (d) -0.1  (e) -3173\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2096 and 644258.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00056411 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -10432?\nAnswer: -10441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1159 + (-5 - -8) + -5. Round v to the nearest 10.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -98, 335, -337, 6 in decreasing order.\nAnswer: 335, 6, -98, -337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -w**2 - 3*w + 30. Let y be t(-6). Suppose -2984 = -5*g + 2*c, 5*c = 16*g - y*g - 2377. Does 26 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 9 - ((-335)\/(-25) + -5). Sort 2, -7\/3, q.\nAnswer: -7\/3, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2430 - (1 - -6)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -177083972754365 and 5.\nAnswer: -177083972754360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 346*n - 344*n + 14 = -5*y, 2*y + 2*n = -14 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -207 - 58 = -5*b. Let c = b - 4. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**2 + 4*p - 19. Let x be f(-10). Let t = x - 23. Let u = 19 - t. Let o(j) = 14*j**2 - 1. Give o(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -126 - -34257\nAnswer: 34131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1.5467, -1.7, -1?\nAnswer: 1.5467","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 49 is divided by 19.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**2\/6 + 6109*l\/2 + 3665\/3.\nAnswer: (l + 3665)*(5*l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 886*w**3 - 1793*w**3 + 3*w - 2*w**2 + 888*w**3 as l*w + p*w**2 + i + v*w**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Determine r so that 32\/5*r + 0 + 88\/5*r**2 - 14\/5*r**5 + 48\/5*r**3 - 22\/5*r**4 = 0.\nAnswer: -2, -1, -4\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 0.2  (b) 6\/13  (c) -1\/5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 u and 1 q when three letters picked without replacement from qqqqqquququqqouqquo?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (80\/(-608))\/((30\/(-28))\/(18\/7)).\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*z + 20*z - 5*i = -7, -4 = z + i for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -7*c + 2*c. Let b = 6 - 8. Are c and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**4 - 986*c**3 - 14988*c**2 - 27014*c - 13013.\nAnswer: (c - 1001)*(c + 1)**2*(c + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 - 3*v**2 + 3*v + 1. Let k be r(-4). Suppose 2*q + k = 3*q. Solve -q = 2*h - h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*o**2 + 34945*o**3 - 34943*o**3 + 11*o**2 + 190 - 6*o**2 with respect to o.\nAnswer: 6*o**2 + 40*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -24251 and 1.63.\nAnswer: -39529.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -4, 2, 96.\nAnswer: -4, -2, 2, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 506 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 144 and 1296?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12 divided by -18.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (15\/2)\/((-270)\/(-40) + -6). Sort -1, h, 1.\nAnswer: -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -d**2 + 0*d**2 + 2*d**2 + (-d**2 + d**2 + 9*d**2)*(1 - 1 - 1).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + 1. Let w = -4 + 3. What is the third biggest value in w, -3\/7, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4, -413381, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/8 and -87\/5320.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -20*m**2 - 5. Let f(n) = -4*n**2 - 1. Let y(c) = 18*f(c) - 2*l(c). Let b(v) = -11*v**2 - 3. What is 8*b(o) - 3*y(o)?\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -15*z - 9. Let f(r) = -7*r - 4. What is -13*f(v) + 6*n(v)?\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 50234 - 8?\nAnswer: 50226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s**2 - 20*s - 223. Let a be n(-8). Solve -1 = p + 2*p + j, -a = -2*p - j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*r - 139 = 19*r. Let g = 2990 + r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 + 5*x + 8. Let o be q(-5). Let v = o + -4. Suppose -4*p = m - 0*m + 5, 0 = v*p + 5*m + 25. Solve p*j - 5 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 10*o**2 + 14*o - 14. What is the remainder when m(9) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (5\/(-95))\/(((-76)\/12)\/19).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5770005 = -5*f - 5*s, 4*f - 2*s - 4324296 = 291702. Round f to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*q - 8133 + 2101 = 0. Let c = q + 272. What is the smallest common multiple of c and 52?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -19. Solve 0 = o + 5*x - 3 + 1, 0 = w*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 195, 824, 1885, 3384, 5327, 7720?\nAnswer: 10569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 6*q**2 + 9*q. Let c(v) = -v**3 + v**2 + v. Let g(j) = -4*c(j) + s(j). Solve g(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19*a = -11*a + 82 + 38 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 2*i - 0. Let d be (i\/(-4))\/((-57)\/(-2)). Let k = d - 119\/285. Put 5, -0.3, k in descending order.\nAnswer: 5, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 3*j**2. Let q(n) = n - 54. What is q(k(h))?\nAnswer: 3*h**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = -124000*l + 1. Suppose 4*z + 1 = 5*z. Let h be m(z). Let p be 1\/4 - h\/4. Round p to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1000479267.1 to the nearest one hundred thousand.\nAnswer: 1000500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.48 and 3.4.\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -7, 3, 82, -46, -5, 5 in decreasing order.\nAnswer: 82, 5, 3, -4, -5, -7, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 22858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 193020\/50 - (-6)\/10. Suppose -m - 266 = -f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2007729 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39 + -104. Let v = z - -65.5. Let r be (16\/10)\/(9\/45). Which is the nearest to -1?  (a) r  (b) 2\/9  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36637\/11 + -3333. Let j be 0\/(-2) - (-7770)\/(-55). Let y = j + 144. What is the common denominator of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 172 and 1203441.\nAnswer: 4813764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*d + 9 = -n - 2*d, -3*d + 3 = -2*n. Let b be (-6)\/2 - (-8 - -5). Suppose b = 2*i - i + 2. Put n, i, 1 in decreasing order.\nAnswer: n, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 at least 2.524?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (63\/9 - 15)*(-3)\/2. Let f be ((-3)\/n)\/(20\/80). Suppose 1 - 7 = 2*t. Let p(w) = -w + 1. Let d(s) = -3. Determine f*d(v) + t*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = b**3 + 0*b**2 - 17 - 11*b**2 + 0*b**2 + b**2 - 9*b. Give x(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 1\/(0 - 3\/(-15)). Suppose -x*h = -13 - 12. Suppose 4 = 3*j - 2. Solve 14 = h*k - 2*s, 0 = j*k - 6*s + s + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(1100) + (sqrt(1100) + sqrt(1100)*-2 - sqrt(1100))) + -3)*3)**2 - (2 + ((sqrt(99) - (sqrt(99) + sqrt(99)*-2*5))\/sqrt(9)*-5)**2).\nAnswer: 2700*sqrt(11) + 220079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2211 - -3?\nAnswer: -2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26551522.6*0.2.\nAnswer: -5310304.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 700 minutes before 10:32 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 6618.804ng?\nAnswer: 6.618804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 5*j - 45, -17*j - 4*l + 35 = -14*j. Factor 0*x + 0 - 4\/7*x**j + 4\/7*x**2 - 12\/7*x**3 + 12\/7*x**4.\nAnswer: -4*x**2*(x - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 5*s - 20. Calculate n(-11).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3 + 1. Let n(o) = -16*o**2 - 9*o + 68. Let u(r) = 3*r**2 - r. Let g(q) = -n(q) - 5*u(q). Let d be g(4). What is the highest common factor of k and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -9 + 14. Suppose 0 = g - w*x - 16, -2*g + 2*x = 7*x + 28. Let z = g + 9. Solve 5 = -4*d + z*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-18)\/(-130))\/(((-30)\/(-45))\/(600\/(-270)))\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -688*w = 1014*w + 25530 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*z + 2 = -4*m, 193*z - 194*z - 1 - 2 = -2*m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 21 divide 1296519?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*s + 6*s - 7*s)*(0*s**3 + 2*s**3 - s**3) + (-s**3 - 3*s**3 + 3*s**3)*(0 + 0 - s).\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1547911\/6 - -258750. Let u = j + -763. Calculate the common denominator of 83\/20 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 3 - (1 + -2 + 62\/16). Let u = -27\/8 + p. Is u greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of 268*y + 0 + 0*y**4 + 0*y**6 + 0*y**2 - 24*y**3 + 0*y**5 + 37\/6*y**7. What is the second derivative of i(a) wrt a?\nAnswer: 5180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 137401?\nAnswer: 11, 12491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*b = 23*b - 84 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c**3\/4 + 3547*c**2\/2 + 135059*c\/4 + 156486 = 0. Calculate c.\nAnswer: -11, -8, 7113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 33848217 and 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: f8 (base 16) to base 15\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -209.7 times -0.4\nAnswer: 83.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 - 22*m + 204.\nAnswer: -2*(m - 6)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 15 = 0, 3*v - 39 + 7 = -z. Suppose s + c = -z, -s = -0*s - c + 15. Calculate the smallest common multiple of 9 and (-1 - s)\/(4 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2bdc0d (base 14) to base 7\nAnswer: -16025616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1074, -1062, -1048, -1032?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -232*b - 234*b - 62 = -475*b - 4*t, 0 = 4*t - 8 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(784))\/(-1*sqrt(343) - sqrt(343)) - (((sqrt(700) + 3 + (sqrt(700) - 1*sqrt(700)))**2 - sqrt(700)) + -5).\nAnswer: -704 - 356*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w + 12 = 3*w + n, 2*w - 4*n = -6. Let l(g) = 4 + 4*g**2 + w*g**2 - 3. What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -2613.\nAnswer: 1\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 247624016\/19 + -2597575309789\/199310. Let k = -1\/1049 + i. Let k*b**3 - 1\/10*b - 7\/5*b**4 + 1\/5 - 9\/5*b**2 = 0. What is b?\nAnswer: -2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmd when three letters picked without replacement from {d: 10, c: 2, w: 3, y: 2, m: 2}?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59421\/7 + -8468. Let k = u + -146\/7. Let o = 1 - -1. Which is the closest to -1?  (a) 0  (b) o  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 14\/1685 and -59\/945?\nAnswer: 318465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(2\/9))**(33\/7) assuming f is positive.\nAnswer: f**(121\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 441068 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 97394*t - 97393*t = -3*d + 9, -t = -3*d + 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.96 and 0.193?\nAnswer: 1.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -13890*j*v**3*y + 1592*j*y - 2912*v**3*y + 11767 wrt j.\nAnswer: -13890*v**3*y + 1592*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2046 - -2288. Are 239 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 26\/907785 and 3\/9279580.\nAnswer: 83516220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.017 and 337.\nAnswer: -5.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 15*m - 55 - 50 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((825\/(-22))\/25)\/(2\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 e and 1 q when two letters picked without replacement from {e: 1, q: 1, j: 2, l: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -c**3 + 5*c**2 - 3*c - 4. Let i be m(4). Suppose i = -4*r + 8*r + 12. List the prime factors of -1*(44 + r)*-1.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 198 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 130 - 162 + 28*s - 25*s. Determine b(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (f**2 - 3*f**2 + 0*f**2)*(16 + 437 + 295 - 57).\nAnswer: -1382*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55) - (sqrt(220) + (sqrt(220) - (sqrt(220)*-2 - sqrt(220))) + sqrt(220) - sqrt(220)) - -6*sqrt(495))\/(sqrt(245)*-2 + sqrt(320)*2 + sqrt(320)).\nAnswer: 9*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1527*v**4 + 8522*v**3 - 5772*v**2 + 69.\nAnswer: 36648*v + 51132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 320804394 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 16790151 not equal to 16790150?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Differentiate -10655910*q - 111222357 wrt q.\nAnswer: -10655910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 12*k**2 + k + 2. Let q(h) = -12*h**2 - 2*h - 3. Give 3*m(j) + 2*q(j).\nAnswer: 12*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -314 = -32*l + 31*l. What is the least common multiple of 3 and l?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3259216.\nAnswer: 2, 31, 6571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -55\/89256 and 51\/40.\nAnswer: 446280","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2*j**2 + 22*j + 6. Let y(z) = 125*z + 11382. Let o be y(-91). What is u(o)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22315.824 months in millennia?\nAnswer: 1.859652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 139722575*d*h**2 + 19*d*h + 2*d + 834354*h wrt h?\nAnswer: 279445150*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 65 = -0*c. What is i in -c*i**4 + 2*i**3 + 14*i**4 - 3*i**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tii when three letters picked without replacement from ftcilelit.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1225 and 0.5?\nAnswer: -612.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 10127269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 159*n**2 - 5*n + 167. Let t(r) = 66*r**2 - 2*r + 84. Determine -2*s(l) + 5*t(l).\nAnswer: 12*l**2 + 86","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -444*c - 34. Let y = -125 - -129. Let n be m(y). What is n rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from pjpttkkeb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 21905438297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -1 + u + 1 - 11*u - 16*u + 20*u + (-3*u + u + 0*u)*(-3 + 1 - 3) to p + x*u and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is (-9)\/(18 + -12 - 5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/90 and 11\/120.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 100 - 34043?\nAnswer: -33543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -27631850 and -31.57?\nAnswer: 27631818.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 0*p + 4*p + 4*p - 4*p + p + (p - p - 2*p)*(-2 - 2 + 2) + 5*p - p - 3*p + 3*p + 3*p - 4*p)*(-p - 9*p + 2*p).\nAnswer: -80*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (23 + 3411*v - 23 - 115*v)*(3 - 2 - 3).\nAnswer: -6592*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 4*p**2 - 6658*p - 2943939. Calculate f(-363).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 23*l + 9. Let m(y) = -10*y - 4. Let z(h) = 9*m(h) + 4*o(h). Let u(r) = r + 54. What is z(u(a))?\nAnswer: 2*a + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 753*n - 263*n + 332*n.\nAnswer: 822*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 3437 by -6.\nAnswer: -3437\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 8636.564l in millilitres?\nAnswer: 8636564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 2\/(1294\/2 - -2). Let z = -1284\/4543 - v. Are z and -14.2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 65858?\nAnswer: 2, 13, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 40\/12*1\/(-11 - -20 - -6)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2266 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: What is 210 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = 2*k**2 + 10*k - 22. Let y = 3 - 12. Let j be f(y). Calculate the highest common factor of 125 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 24\/(-276) + (-71)\/(-23). Let u = 158 - 102. Suppose 5*q + 119 = -5*s + 349, -q + u = -4*s. What is the highest common factor of q and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -403 + 403 - 87*f**2.\nAnswer: -87*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ffq when three letters picked without replacement from fffffffpffpffpffffqf?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -t**3\/3 - 61724*t**2\/3 - 185145*t.\nAnswer: -t*(t + 9)*(t + 61715)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:08 PM and 11:18 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (3\/12)\/((-21)\/(-11876172)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the first derivative of -n**7\/21 - n**3\/6 + 4*n + 1. Let l(c) be the first derivative of b(c). Find the second derivative of l(m) wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 382 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 53?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -12224486 less than -1387380?\nAnswer: 10837106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 20 - 11*y + 15*y - 42 + 17 - 5*y**2. What is c(-4)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 598 minutes after 3:58 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-39 - -77) + -37)\/(1 - 2). Let t = -12\/13 + -16\/39. Which is the nearest to -8?  (a) x  (b) t  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -4095 or -4134?\nAnswer: -4095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -667*c = -316*c + 1661*c + 140840 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*f - 2*y = -2, -130 = 5*y - 165 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 372 + -337. Is (k\/15 + -3)*4689\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 54415.97 tonnes to micrograms.\nAnswer: 54415970000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = 275*h - 38807. What is t(143)?\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 181205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 0, -5, 17, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 95 = 5*r, 5*f - 105 = -7*r + 3*r. Solve -4*m + r = 0, -2*c = -0*c + 2*m for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -15210606 (base 7) in base 14?\nAnswer: -299a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -u**3\/3 - 4766*u**2\/3 - 2410177*u\/3 - 107727516.\nAnswer: -(u + 277)**2*(u + 4212)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -179\/13 - -44737\/3250. Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2e (base 15) to base 8.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -u - 1. Let g(p) = -13*p - 6. Let o(v) = 11*v + 28. Let m(t) = -2*t - 2. Let q(c) = 4*m(c) + o(c). Let h be q(-7). What is h*g(f) + 6*s(f)?\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -266*m - 2745 = 116*m + 167*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 2535768797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*f + 2*f + 600 = 0. What is the least common multiple of f and 4?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5310588*a**4 - 21*a**3 - 2899406*a**2 + a + 1 wrt a.\nAnswer: 127454112*a - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4*4\/80 - (-3952)\/40 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-4)\/(-14) - (-33)\/7. Suppose 0 = -4*d + p - 2 + 12, 12 = n*d - p. Let r = -0.516 - -4.516. Which is the nearest to d?  (a) 2  (b) r  (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*y**2 - y**2 + 2 - 4*y**2 + 3*y**2 + 4*y**3 to b*y**2 + v*y**3 + g + t*y and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 348 a factor of 21868320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 116665.\nAnswer: 5, 23333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 4 + 5*h**3 - 3*h**3.\nAnswer: 2*h**3 + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 12330 + -12327. Sort -2, d, -39, 5.\nAnswer: -39, -2, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y*y**(3\/11)\/y)\/(y\/y**(-2\/5)))**(-4)\/((y\/((y*y**(-1\/6))\/y))**12)**(-2\/7) assuming y is positive.\nAnswer: y**(248\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = -y - 7. Let o = 4008 + -4009. Calculate d(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 70 != -173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 102013210 - 132?\nAnswer: 102013012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = q - 138*n + 137*n - 113, -n + 327 = 3*q. Calculate the greatest common divisor of 242 and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3442.4 + 3442. What is the third smallest value in 7, h, -8\/9, -4, -5?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 6428646*k**4 + 601*k + 601?\nAnswer: 77143752*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0.9235 or -794?\nAnswer: -794","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 0 - 10164?\nAnswer: -10164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 12369047 divided by -15?\nAnswer: -12369047\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 13548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3817 is divided by 2723?\nAnswer: 1094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -2 + 3 + (-6 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 76, 420, 5 in descending order.\nAnswer: 420, 76, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 - 8*d**2 - 10*d + 11. Let h be g(9). Let b be (2 - h - 0)\/(4 + -2). Solve 4*m - 1 = 11, b = -4*x + 3*m + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 88 minutes after 6:35 AM?\nAnswer: 8:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.08 - -0.08. Let m = v + -3. Which is the third smallest value?  (a) m  (b) 2  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1 - -1) + 5\/5 + 5. Solve -2*j + 12 = -2*h, 0*j + 4*j + 4*h - u = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5*1\/40*(-24)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j + 6*j + 15 = 0. What are the prime factors of 12*2 - (-3 - j)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*s = 26*s. Solve -16*i + 21*i + 20 = s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, 145, -10, 5, -2?\nAnswer: 145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 325*h + 324*h + 216*h + 326*h - 1525*h + 325*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 83 + -81. Find the third derivative of -271*u**l - 3*u**3 + 5*u**3 - 2*u**3 + 178*u**5 + 272*u**2 - 91*u wrt u.\nAnswer: 10680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -3*c**2 + 817*c - 7880. Calculate l(10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = 333348*b - 2333314. Determine x(7).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 47356 and 18?\nAnswer: 426204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = 17*n + 2*n**3 + 22*n - 39*n. Suppose -4*s = -2*i - 16, 3*i = 6*i - 6. What is the smallest common multiple of s and p(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -1193*a - 123. Let n be x(-12). Let h = -1182 + n. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - f - 32, -h + 24 = 2*f + f. Let c be -38*(-2)\/h*-3. Let v = c + 39. Calculate the remainder when 77 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 0.1 and 63.68 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*s**2 + 3154*s + s**2 - 3154*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8974652us in minutes?\nAnswer: 0.00000003162442","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 PM and 4:52 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 950 - 948. Solve -3*u + 2*h = -u + y, 0 = -3*h - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 507 minutes after 8:30 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h**3 - 4*h**2 - 6*h + 5. Let s be y(5). Let v(m) = 7 + 7*m**3 - 2*m**3 - 4 + 17*m**3 - 23*m**3 - m. Give v(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 988 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1577\/26 + 121\/2. Let n = -245.29 + 249.29. Let x = 0.04 + 0.36. Which is the smallest value?  (a) w  (b) n  (c) 5  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*h + 8 = -2*b - 49*h, -2*h + 4 = 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 10781 is divided by 10720?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**3 - 7*a**2 - 6112*a + 42805. Determine d(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**2\/9 + 2*l\/9 - 1\/9.\nAnswer: -(l - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - l = -0 + 9, 0 = -4*t - l + 11. Let s be 3*(t + (-235)\/(-15)). Let g = s - 133\/2. Which is bigger: g or -9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 985 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1134983a2 - -4?\nAnswer: 1134983a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*g + 4*n + 12 = -4*g, -5*g + 2*n = -22. Suppose 2*c = -5*q + 50, g*q = q - 5*c + 11. Calculate the highest common divisor of 60 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*(-1*sqrt(114) - sqrt(114)))\/sqrt(6))**2 - (2 + (0 + sqrt(1900))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -14*o + 6*o - o + 6*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/2 + (-3)\/(-6). Suppose -10*p + 6*p + 172 = g. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 take away -1975.1?\nAnswer: 1970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*sqrt(2800)*5 - ((1*sqrt(2800) + sqrt(2800))*-2 + sqrt(2800)))\/((sqrt(28) - sqrt(700))\/sqrt(7) - (sqrt(16)*2 + sqrt(16))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3\/4 - (5704\/(-288))\/(-23)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1276*x**2 - 558*x + 1 wrt x?\nAnswer: 2552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*n - 160 = -17*n. Solve -4*i + 3*b + 8 = 5*b, n*b = -20 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1181)\/1002 - (7 - (6 + 2)). Let t = 2\/167 + j. What is the second biggest value in -5\/2, -2\/7, -1, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -j**3 - 4*j**2 + 5*j + 2. Let u(m) = -m + 2. Let k be u(7). Let w be a(k). Suppose -w*n + 5*n = 0. Let x(y) = y**3 + 3. What is x(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -a**2 - 3*a + 8. Let j(g) = g**2 - g - 1. What is -h(r) - 4*j(r)?\nAnswer: -3*r**2 + 7*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 4*d**3 - d**2 - d. Let p(x) = -41*x**4 + 20*x**3 - 5*x**2 + 472*x. Let f(h) = -5*m(h) + p(h). What is the second derivative of f(t) wrt t?\nAnswer: -492*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 518.607 from 454.\nAnswer: -64.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyvyyyyyvy?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10566028 by 480274.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1132, 0, 4, 8 in increasing order.\nAnswer: -1132, 0, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put -3.79, -13177, -0.4 in decreasing order.\nAnswer: -0.4, -3.79, -13177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00003109 to six decimal places.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 25356, 101421, 228188, 405651, 633804?\n\"Answer: -n**3 + 25357*n**2 + n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.4, -5, 2.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1305939 is divided by 146.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*i**2 + i**2 + 2*i**2)*(-3 + i + 3) + 3*i**3 + 0*i**3 - 2*i**3 + (17*i**2 - 21*i**2 + i**2)*(-6*i + 162 - 162).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18509\/(-669)*114\/76.\nAnswer: -83\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4 and 3\/1*686\/42?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 31 - 29. Let y be 1\/(2 - (-10)\/(-6)). Factor -2*t**2 + 3 - c - 1 - y*t**3.\nAnswer: -t**2*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 126 is divided by 72?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Express 19*r**2 + 24*r**2 + 2*r**2 + (-r**2 + 0*r**2 + 3*r**2)*(2 - 1 - 3) in the form x*r**2 + g + j*r and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1 and -44617460121410.\nAnswer: -44617460121409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 194222068?\nAnswer: 2, 31, 1566307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 451 - 130 = 0. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 136339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 592524 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52 = -4*k - 13*m + 15*m, -k + 8 = 2*m. Suppose -5*s + 131 = z - k, -5*s - 2*z + 146 = 0. Calculate the highest common divisor of s and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -100130707*y**2 + 1794*y + 43559?\nAnswer: -200261414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -244\/3 - -82. Let x = -7 + 4. Let z = 4 + x. Which is the nearest to -1\/2?  (a) s  (b) z  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 24*l - 55 = -29*l + 1, 8 = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = 4*u - 10 + 2, u = -4*g + 12. Let y = u + -2. What is the remainder when 3 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -2*b + 16. Let c(j) be the first derivative of 0*j**3 + b + 0*j - j**2 - 1\/2*j**4. What is the second derivative of c(r) wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -87 + 164. Let a = -83.1 + o. Let m = a + 3.3. Is m at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in j**2 - 4*j**3 + 0*j**3 + 3*j**3 - 2*j**2.\nAnswer: -j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o + 3*j - 25 = 0, 4*o - 3*j = -o - 5. Suppose c - o*w = 72, 2*c = 5*c - w - 226. Suppose 0 = l - 5*l + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 12*m - 3. Calculate q(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3757159927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.07611337 to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000760639243 rounded to six decimal places?\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12\/11?  (a) 0.2  (b) -4  (c) 7  (d) -0.2  (e) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:25 AM and 12:14 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one tenth of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + 6 - (17 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 23254 = 4*w, -10645 = -3*c + 3*w + 24245. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -7 + (18 - 11) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1271.\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-3 - -4) + 94\/6. Let t = 17 - i. Which is the closest to -1?  (a) t  (b) 0.2  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = 3*h**3 + 7*h**2 - 7*h. Suppose 0 = 3*d - 5 - 22. Let r = d - 4. Let l(v) = 2*v**3 + 5*v**2 - 5*v. Let s = 11 - 18. Calculate r*b(a) + s*l(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4  (b) 1\/7  (c) 1\/2  (d) 6  (e) -4\/3  (f) -2  (g) -6.3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s = -0 + 10. Solve 4*l = -3*b + 5, -21 = -s*l + 4*b + 24 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 1.906745268117 and -11?\nAnswer: 12.906745268117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -x - 3. Let w be y(-4). Let u be (1 - (w - -1))*-49. Suppose -2*z - 3*v = v - 26, 4*v - 12 = 0. What is the highest common factor of u and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (3 - 17 - 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 30 - 3?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -114*a**2 - 6*a**2 + 4*a**2.\nAnswer: -116*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -w - 3. Let o be c(-2). Let t(i) = i**3 + 4*i**2 - 35*i - 14. Let f be t(-8). Suppose -g + 0*g = f. Sort 3, g, o.\nAnswer: g, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -76426 divided by -1442\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*n = 12*n - 5*t + 17, 3*n + 2*t + 16 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78, 321, 736, 1329, 2106, 3073, 4236?\nAnswer: 5601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) be the third derivative of -p**8\/84 + p**6\/40 - 163*p**5\/30 + 14*p**2 - 19. What is the third derivative of n(m) wrt m?\nAnswer: -240*m**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, -188, -72 in increasing order.\nAnswer: -188, -72, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 82745.6km to nanometers.\nAnswer: 82745600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 406134115 to the power of 1\/2, to the nearest integer?\nAnswer: 20153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 + 279 = -23*h - 24 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 190838 a multiple of 166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2436850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) = o**2. Let l(b) be the second derivative of -5\/12*b**4 + 0*b**3 + 0*b**2 - 119*b + 0. Calculate a(l(h)).\nAnswer: 25*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*d - 24 = -11*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -14553.75 to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b - 3 = 5*o, -18 = 2*o + b - 17 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = 19*t**2 + 38*t + 76. Give f(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a - 8 + 52 = -3*o, -55 = -5*a + 5*o. What is a rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -5, 284, 8, 2, 0 in decreasing order.\nAnswer: 284, 8, 5, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 3113142 - 4?\nAnswer: 3113133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 657 minutes before 7:34 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 15575\/1154 - -2\/577. Let n = 14 - s. Suppose -9 = 3*x + 3*f, 0*f = -x - 3*f - 9. Is n bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -76.4 + 80. Let f = z - 3.6494. Round f to 3 dps.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 92908 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 + 5. Suppose 3 = a - t. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.102 in -0.522, -6.9, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -24 by 24.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 32 - -40046?\nAnswer: 40111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) be the second derivative of n**9\/15120 - n**8\/2240 + n**7\/1260 - n**4\/4 + 4*n. Let t(w) be the third derivative of i(w). Factor t(g).\nAnswer: g**2*(g - 2)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -p + 1. Let c be s(1). Suppose 3*z = -4*k + 223, 3*z - 3*k + 0*k - 195 = c. Suppose 3*b + t - 57 = -0*t, 3*b = -5*t + z. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -43*p - 111. Let k be n(-3). Solve 14*s = 20*s + k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*u + 11*u - 6606193 = 5*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1070 is divided by 109?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -1 - (10 + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = v**2 - 8*v - 9. Let f be w(9). Suppose -i + 2*i + 8 = f. Let x = 16 + i. Calculate the greatest common factor of 16 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -8 - 416?\nAnswer: -424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(-4)\/((-8)\/(-2)). Let s be 14\/63 + n\/(-18). Is s greater than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -3, -7, -13, -21, -31, -43?\n\"Answer: -z**2 - z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/3?  (a) 2\/237  (b) -1\/6  (c) -4  (d) 0.62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -m**3 - m**2 + 156*m. Let l be f(12). Let w = 2 + -8. Let p = -3 - w. Solve y + p - 2 = l for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = 6*q**2. Let m(r) be the first derivative of -r**5\/60 - 3*r**2\/2 + 3. Let y(x) be the second derivative of m(x). Determine y(a(b)).\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*p + 40323 = -37677. Round p to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 44, 48, 52?\n\"Answer: 4*x + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y + 0 = -8. Let j be (4 - 2)\/(y\/(-10)). Suppose -5*l + 3*d - 5*d + 367 = 0, -2*l + 141 = -j*d. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.43 and 12?\nAnswer: 5.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify n**3*n**15 assuming n is positive.\nAnswer: n**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -8714*z**2. Let u(f) = -7*f**2. What is u(o(p))?\nAnswer: -531536572*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**3 - 10*m**2 - 12*m - 39. Let l be g(-9). Put 4, 1, l, -3 in decreasing order.\nAnswer: 4, 1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = f**2. Let p(j) = -4533*j. Calculate p(z(y)).\nAnswer: -4533*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b = -3*i + 10, i = 3*b - 2*i + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 135814 - 13516 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -252, -257, -264, -273?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = 6*v**3 - 7*v**2 - 3*v + 5. Let x(i) = -5*i**3 + 6*i**2 + 3*i - 5. Let k(b) = -4*p(b) - 5*x(b). Let l be k(3). Solve l = -2*r - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by 15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:55 AM and 8:16 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (-7)\/5 + 8*(-8)\/(-160)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 94616 and -186.\nAnswer: 94430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 r when four letters picked without replacement from {s: 1, r: 7, a: 3, q: 1, w: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2279775853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1315\/35 + -1 - (-4)\/(-7). Suppose 38*o - v*o = 6. Let b(w) = 5 + 0 + o*w - 5. Let x(d) = -5*d. Give x(b(g)).\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -147*t**3\/2 - 121359*t**2\/2 - 34656*t - 4950.\nAnswer: -3*(t + 825)*(7*t + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -5.4 - -0.4. Let t = -0.03 + -3.97. Let u = t + 3.6. What is the biggest value in d, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = 2*z - 2. Let f(d) = d**2 - d - 17. Let q be f(5). Let w(y) = -y - 6 - q + 0*y + 10. Calculate -6*o(p) - 14*w(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -1598489*n + 25575826. Determine t(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 81*h**3 - 8*h**2 + 2. Let j(o) = -80*o**3 + 10*o**2 - 2. Calculate -4*j(y) - 5*v(y).\nAnswer: -85*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3649937 is divided by 95.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -5.49 * -0.935\nAnswer: 5.13315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 0\/1 - (-2 - 1). Let s(n) = 2*n**2 + n**d - n**2 - 5 - 9*n**2 + n. Let g be s(8). What is the highest common divisor of 12 and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -f**3 + 10*f**2 - 18*f + 9. Let i(n) = n**2 - n. Let t(q) = -2*a(q) + 6*i(q). Find m such that t(m) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 38\/(-5643)*375 - 8\/22 and -65\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.66 - -4.56. Suppose -q - 10 = 4*f - 6*f, -2*f = 2*q - 10. Suppose -4*g + 6*g + 8 = q. Which is the nearest to x?  (a) g  (b) -1.3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.6445 + 4.754875. Let y = 5.283 - -0.117. Let o = y - u. Round o to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 AM and 5:11 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = h + 50. What is the remainder when v(23) is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -18 + 23. Solve 12 = -4*q + g*v, -2*q = 3*q - 3*v + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rqyjq. What is prob of sequence qqy?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 88928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*g = 5*g + 827954, 496768 = -3*n + g. What is n rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.084 - -1.916. Let p = 43.5 - 35. Let h = p + -8. Which is the nearest to 2?  (a) h  (b) -0.1  (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5111857 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v, 1 m, and 1 p when three letters picked without replacement from {x: 1, l: 1, q: 3, p: 1, v: 6, m: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 15 = 0, -3*d + 5*q - 63 = 23. Let t = d + 31. Let r(x) = -x**2 - 7*x - 6. Let y be r(t). Which is smaller: y or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gajsyjjvaaagjayyass. Give prob of sequence ayg.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 24 - 26. Let d be 1 - (-3 - 0 - 0). Let t = d + w. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the first derivative of 13*y**4\/4 + 19*y**3\/3 + 32. What is the third derivative of w(m) wrt m?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify r**1*r**(-4)*(r**(1\/8)\/r)\/(r**5\/r) assuming r is positive.\nAnswer: r**(-63\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*t + 9*t - 1 + 1 as j*t + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 170 = -0*c. Let h(f) = 2*f**2 + 4*f - 3. Let g be h(4). Suppose -3*t = 2*t - g. Calculate the remainder when c is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-16)\/6)\/(-2)*-3. Let b(l) be the first derivative of -5*l**3\/3 + 11*l**2\/2 + 5*l - 143. Let a(j) = -3*j**2 + 6*j + 3. Determine v*b(w) + 7*a(w).\nAnswer: -w**2 - 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17 (base 10) to base 5.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 173 + -172.999179. Round a to 4 dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -258283\/43530 + 1\/8706. Is -7 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 40, 1, -5, -2\/11, 5, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 238377781, 238377787, 238377793?\n\"Answer: 6*s + 238377775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m**3 - 10*m**2 - 4*m + 46. What is the smallest common multiple of h(10) and 370?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r = 2*a + 26, -3*a + a - 54 = -2*r. Calculate the greatest common divisor of 8 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = 78*c**2 + 1. What is the units digit of r(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.2, -4, -4\/10899?\nAnswer: -4\/10899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1 by -5201.\nAnswer: -1\/5201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 983370257.\nAnswer: 677, 1452541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29449239 = 4*m - 2*u + 26950753, 5*u + 56400020 = -4*m. What is m rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -23, 0, 1, -5, 27 in ascending order.\nAnswer: -23, -5, 0, 1, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jzpp when four letters picked without replacement from {v: 3, j: 2, k: 1, b: 1, p: 3, z: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 32 + -286\/9. Let y = -8 - -7.6. Which is the closest to o?  (a) 1  (b) -3  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 300317540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 192497063560 + 39?\nAnswer: 192497063599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1992)\/((-8)\/(-1)))\/(-1 + 0). Let s = t + -250. Let v(z) = 1 - 5*z**2 + 4*z**2 - 7*z**2. Give v(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i**9\/i*i**8*i**8\/(i**(-9\/2)*i))**33)**24 assuming i is positive.\nAnswer: i**22572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.655 hours in microseconds?\nAnswer: 16758000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes after 7:35 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = -4*y**2 + y - 6. Let d be ((40\/12)\/5 + -1)*-3. Let u(i) = i**2 - i + 1. What is d*t(h) + 3*u(h)?\nAnswer: -h**2 - 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 1afdf1 (base 16) to base 3\nAnswer: 10022212112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8\/13, -59\/3, -107, -12.\nAnswer: -107, -59\/3, -12, -8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 + -22243?\nAnswer: -22244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 10, r: 2, e: 1, i: 7}. Give prob of sequence ine.\nAnswer: 7\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vqq when three letters picked without replacement from {v: 3, q: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 75 + -73. Solve q = -z*l + 2, -q = q - 5*l - 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 20 + -221?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of (8 + 3365)\/(-4 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 34013 and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54623?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -13 + 22. Suppose 32 = -7*r + f*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = b**2 + 18*b - 13. Let z be s(14). Let k be 4*(-3)\/(-8) - z\/(-10). What is the highest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3030 + 2*f + 8845 - 3267 - 2548.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.216516562 rounded to 4 decimal places?\nAnswer: -0.2165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 160741 is divided by 1058?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 7. Let q = 1 + g. What is the third derivative of -3*c**2 - 2*c**q - 370*c**4 + 360*c**4 wrt c?\nAnswer: -240*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = -n**3 - 5*n - 1. Let d(b) = -34*b**3 + b**2 - 18*b - 5. Determine d(g) - 5*x(g).\nAnswer: -29*g**3 + g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (2\/(-2))\/(-6) - (-17724)\/(-72). Let s be q\/(-22) + (-1120)\/110 + 10. Calculate the greatest common divisor of s and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 165 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -2*i. Let h(c) = 15*c**2 - 26. Calculate h(o(w)).\nAnswer: 60*w**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 70.3 - 70. What is the third biggest value in o, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 179 - 177. Put -1\/23, 3, x in increasing order.\nAnswer: -1\/23, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 79459306?\nAnswer: 2, 79, 631, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(136) - (sqrt(136)*-1 + sqrt(136))) + sqrt(136))*-3)\/sqrt(8).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, -2, 212, 94 in ascending order.\nAnswer: -2, 17, 94, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(96\/3))\/((-1105)\/52 + 20).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*q**3 - 17*q**3 + 12*q**3.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = z - 7. Let d(c) = c**2 - 9*c + 9. Let w be d(7). Let b = 11 + w. What is v(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a + 1. Let m(q) = -6*q - 25. Let p(v) = 4*j(v) - m(v). Let w be p(12). Solve 5*n + 5 = w*d, -5 = -10*d + 5*d - 2*n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:01 PM and 8:14 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o**2 + 28*o + 169. Let n(k) = k**3 + 4*k**2 + 3*k. Let p be n(-2). Suppose -f - p*f = -45. What is the remainder when f is divided by g(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 683735?\nAnswer: 5, 13, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = d**3 + 3*d**2 - d - 2. Let n be j(-2). Let q(r) = 3*r - n*r + 0*r + 9 + r**2. What are the prime factors of q(4)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 0.38.\nAnswer: 0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 82 a factor of 6872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3862 - -3?\nAnswer: 3865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, t: 1, f: 1, e: 1, h: 1}. What is prob of picking 1 t, 1 h, and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2211002 is divided by 245666.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 325467 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 115932022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1170d4 + 2?\nAnswer: 1170d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + -12. Let s(c) = 0*c**2 - 1 - 2 - c**2 - p*c. Let l be s(-6). Solve l = 2*y + 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/3 + 8\/3. Suppose -4*n + d = -n. Suppose -n = -4*p + 3*p. Solve 2*o - 9 + p = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k, 1 j, 1 n, and 1 c when four letters picked without replacement from {k: 2, n: 2, x: 1, j: 2, c: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -39*g - 2*g - 5*g - 44*g to a + m*g and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -240121 - -1?\nAnswer: -240120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-91)\/21 - -4)*3. Is -19 - -3157 - (-1)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(17) + sqrt(204)\/((sqrt(12) - (sqrt(12) + sqrt(36)\/sqrt(3) - sqrt(12) - sqrt(12))) + sqrt(12)) + sqrt(2448) + 0 + -3*(0 + sqrt(1700)))**2.\nAnswer: 18513\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -5, -1\/8, -0.8, -221719, -4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*(sqrt(39)\/sqrt(3) + 3))**2 + 0 - ((-1 + -5*sqrt(13)*-1 + 0)**2 + -3).\nAnswer: 469 + 226*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3153d (base 14) in base 12?\nAnswer: -58a6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*w**2 + 13*w**2 + 56*w - 102*w + 46*w.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 2*o - 48, 0 = -3*o + 8*o - 4*a - 94. Let m = o - 20. Solve -j - 3 = m*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 2, 2584 in decreasing order.\nAnswer: 2584, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 3 w when four letters picked without replacement from wwnwnwnwwwwwwwwnwn.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f - 7 + 3 = 2*y, 0 = -4*y - 3*f - 19. Let k(m) = -2*m**2 - 3*m - 4. Let x be k(y). What is the tens digit of (-632)\/x - 1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -29 + 34 - 3*p**3 + 18*p**3 + (-2*p**3 + 2*p**3 + p**3)*(5 + 1 - 4).\nAnswer: 17*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*f - 9 + 4*f + 10*f**2 + 20 + f**3 - 13 to the form q*f**3 + l*f**2 + j + b*f and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -391 - -553. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = t**2 - 2*t + 1. Let a be l(-2). Let g(y) = -3*y + 12. Give g(a).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 12\/9 - (-2)\/(-12)*-10. Solve 0 = 37*h - 40*h + c for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*k**5 - 132*k**4 - 568*k**3 - 872*k**2 - 588*k - 148.\nAnswer: 4*(k - 37)*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 255 minutes before 11:49 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3\/8  (b) 5  (c) -977  (d) 52  (e) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 26419 less than or equal to 26423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.034705 rounded to 3 decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4 (base 6) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 12 - 16. Let d be 5 - (-12)\/w - 0. Find the third derivative of -5*v**d + 0*v**4 - 2*v**4 + 11*v**2 wrt v.\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 347090171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*a - 4, -2*a - 3*a + 31 = 3*g. Suppose -n - g = -2*n. Solve n = -4*p, 3*y - 2*p - 3*p = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1321.59 rounded to the nearest 10?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7570973?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.406 and 3?\nAnswer: 1.218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-147)\/14)\/((-3)\/(-42)). What is the least common multiple of 20 and (-690)\/(-35) + (-7)\/(x\/6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -59*x + 2*i - 129 = -223 - 384, -2*x + 13 = i for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1346167?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, 0.089, -2\/7, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 11*s - 2. Let z be b(1). What is the greatest common factor of z and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2477905?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the first derivative of -193\/3*v**3 + 0*v + 0*v**2 - 164. Let n(c) = -2*c**2. Determine n(o(d)).\nAnswer: -74498*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -26\/7 + 311\/14. Let f = o + -20. What is the nearest to 0.1 in f, 5, -13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = 2 - 2 - 219*n + 272*n. Let a(d) = -3*d**2. Give a(k(s)).\nAnswer: -8427*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13*f + 2*w = -2*w + 4, 5*f - 4*w - 3 = -w - 6*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 593 + -316. Suppose 4*y = 885 - v. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -558\/11  (b) 3  (c) -96  (d) -2\/13  (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = b - 31, -o - 2*b - 3 = -0*o. Let n = 29 + o. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17690 less than -1.55?\nAnswer: -17691.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 36243663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 590*j - 588*j + 2 = 0. Let g be 5\/((-114)\/(-84) + j). Solve -9*u = -g*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = 15*k + 187. Let h be o(-11). Suppose -2*m + 49 = 3*l, 0 = -4*l + 5*m + 1 + 95. Let f = l - h. Which is the nearest to 0.2?  (a) 5  (b) -0.2  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*h**2 + 8*h**2 + 7*h - h**2 + 62*h**3.\nAnswer: 62*h**3 + 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001199 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 212 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) be the second derivative of -1\/42*a**4 + 0*a**2 - 3*a + 0*a**3 - 1\/35*a**6 + 0 + 3\/70*a**5 + 1\/147*a**7. Find i, given that r(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (660000 - 1) + 4 - 3. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 28 and 401543.\nAnswer: 401571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 * 71.\nAnswer: -14.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) be the third derivative of -3169*l**4\/12 + 2*l**3\/3 - 2*l**2. Let y be n(-6). Let r = y - 2032. What is r rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7187 - -7182. What is the closest to 6 in -1\/2, -0.1, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -65\/2 less than or equal to 0.05276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/(-70)*(-10)\/(-60)*(-54)\/9?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**3\/7 + 288*f**2\/7 + 1128*f\/7 + 160.\nAnswer: 2*(f + 2)**2*(f + 140)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1238509077?\nAnswer: 3, 13, 31756643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -49*r = -46*r + j + 10, r + 2 = -j for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 + 1 - -4 - (-1 + 5)) + -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 4606.\nAnswer: 1\/4606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7}. Give prob of picking 4 f.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-204)\/170*10\/(-4)*2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(1\/5)\/h**(5\/6))**45 assuming h is positive.\nAnswer: h**(-57\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 5*h - 3*h - 5*h**2 - 13*h. Let y(z) = 3*z**2 + 6*z. Let s be (12 - 5)*(-12)\/(-14). Give s*j(g) + 11*y(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 163872 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t\/(t**(2\/11)*t))\/(t*(t**(2\/25)\/t)\/t*t))\/(t\/((t*t**(-3)*t)\/t))**(2\/67) assuming t is positive.\nAnswer: t**(-6474\/18425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 407860839 - -262\nAnswer: 407861101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -446879, -893758, -1340647, -1787552, -2234479?\nAnswer: -2681434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/30453?  (a) 0.69  (b) 1\/4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 35*v + 39069 - 39559 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 8:25 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) be the first derivative of -i**6\/60 + i**4\/12 + 9*i**2 - 4. Let o(u) be the second derivative of m(u). What is j in o(j) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 97\/86988 and -151\/43494?\nAnswer: 86988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 11934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (23 - 10) + -13 + (3 - 2 - 12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = y**2 + 11*y + 37. Let m(b) = 2*b**3 + 243*b**2 + 121*b - 12. Let x be m(-121). Give g(x).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 223.66158 milliseconds?\nAnswer: 0.003727693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 5, 6, 927\/14, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 19148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 103*g + 104 = -102 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -8. Let d = 0.19 + 0.86. Let a = d - 0.75. Sort a, -13, o in ascending order.\nAnswer: -13, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 35 + 7. Let n = x - 44. Let w be -1*(3\/6 + 7\/n). Solve -3*l - 10 = w*p - 8*l, 2*l - 4 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2047, 5, 2, 1, 3?\nAnswer: -2047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4359958 is divided by 1453274?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*x - 5*i - 64 = -10*x, -6 = -2*x - 4*i. What is the remainder when 29 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23466?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 5*q**2 - 7*q + 2. What is the remainder when 46 is divided by y(3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11101110110110000001 (base 2) to base 12.\nAnswer: -3b2195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 95\/60 - (-5)\/(-4). Let o be (-2)\/7*49\/(-7). Factor 4\/3 - y*n**4 - 8\/3*n + n**o + 2\/3*n**3.\nAnswer: -(n - 2)*(n - 1)**2*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -265835, -531799, -797763, -1063727?\nAnswer: -1329691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*c**3 + 1052*c**2 - 1048*c.\nAnswer: -4*c*(c - 262)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u = 3*w + 37, 3*u + 3*w = -3*w + 3*w + 10*w - 2*w + 73 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 81 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 24273564 and 106932.\nAnswer: 24273564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -31 - -93 - (-86 + 33 - -23)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10983 - -17272. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 500 divide 795283000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 46 - 16. Find the common denominator of ((-26)\/24 - -1)*1785\/v and 75\/14.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 3) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -125*(-4 + 0)\/(-4). Let j = 100 - x. Suppose q - j = -4*q. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.22003195 to 1 decimal place.\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in 0, 401, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 590\/(-354) - ((-178)\/6 - 0) is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 736 and -5074?\nAnswer: -3734464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = -j**2 - 156*j - 1242. Let l be s(-147). Solve 52*y = 25*y - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**2 - 8*x + 11. Give v(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*o - 20*o - 6, -w - 5 = 2*o - 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the third derivative of -z**6\/120 - z**5\/60 - z**4\/6 + z**3 + 180*z**2 - 3. Calculate n(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 + 24. What is the derivative of -1 - 21*w**2 - b*w**2 + w**2 - w**2 wrt w?\nAnswer: -50*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -6 + 12 + 6\/(-2). Suppose 36 = 6*g - i*g. Let h be (-14)\/(-6) + 4\/6. Sort g, -2, h.\nAnswer: -2, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 77 + -9. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((2\/5)\/1)\/((-540)\/300).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.153 - 4.153. Suppose 26 = 5*j + 6. Which is the biggest value?  (a) -6\/11  (b) j  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = k**2 + 11. Let o(d) = 1. Let v(i) = b(i) + 5*o(i). What is the tens digit of v(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1643 - -1646. Calculate the greatest common factor of v and 68.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 288 + -287. Sort -0.3, t, -4, 1\/4 in ascending order.\nAnswer: -4, -0.3, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**2 + 4*o - 7. Let d be m(-6). Suppose 0 = -2*p - q + 5, -q + 0 = -d. Suppose 0 = 4*j - 4*h - 360, p = 3*j + h + 4*h - 246. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of c**3*y**4 - 56*c**3 + 24*c**2 + c*y**2 + 32953*y**4 wrt y?\nAnswer: 24*c**3*y + 790872*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -1150.\nAnswer: -1\/575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = l**3 - 24*l**2 + 32*l - 39. Let f be p(23). Suppose -33*y + f = -30*y. Suppose -y*b = -62*b + 612. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 7*k**5 + k**4 + 87*k**2 + 13700*k wrt k?\nAnswer: 140*k**3 + 12*k**2 + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = v, -5*r + 12*v - 16*v + 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4 + 6*((sqrt(2448) - 3*sqrt(2448) - sqrt(2448) - sqrt(2448)) + 4)*-2)**2 + 3)*-6 + 4.\nAnswer: -33852782 + 304128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1748 is divided by 134.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 596067*n**3 - 309623*n**2?\nAnswer: 3576402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 735912?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -45531 less than -45532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xe when two letters picked without replacement from {x: 1, e: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*w - 34*w = -15. Let d = w + 6. Suppose 0 = -4*n + 5 + d. Solve -f + 1 = n*y, -2*y = -y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = h**2 + 6*h - 23. Suppose -4*f - 3*x - 12 - 8 = 0, 2*f = -4*x - 20. What is the remainder when (-12 + (-1 - 1))*7\/f is divided by n(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*q**3 + 1344*q**2 + 441*q - 894.\nAnswer: 3*(q + 1)*(q + 149)*(3*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2236, -6, -4 in increasing order.\nAnswer: -6, -4, 2236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -8 + 8.3. Let p(b) = b**2 - b - 1. Let d be p(-2). Suppose -5*j - d = -4*l, -5*j + 2*j - 3 = 2*l. Sort l, -4, v.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-366)\/18)\/((-4)\/97932) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -136 - 3070*q + 410 - 133 - 141 as a*q + n and give a.\nAnswer: -3070","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 119 = -h, 725*j - 307 = -3*h + 720*j. Suppose -2*o + 0*o = -38. Calculate the remainder when h is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**3 + 19*m**2 - 6*m + 6. Let b(t) = -7*t**3 + 57*t**2 - 17*t + 17. Let h(x) = 6*b(x) - 17*k(x). What is the third derivative of h(s) wrt s?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5.8126 * 3844.\nAnswer: 22343.6344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (119 - 15 - 11)*(1 - 6*l + 4*l + 4*l).\nAnswer: 186*l + 93","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23712 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 34221.\nAnswer: 3, 11, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 33 and 1473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.734 + 0.734. What is the biggest value in -2, o, -1.6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*x**5 - 202*x**4 - 410*x**2 + 2?\nAnswer: 300*x**2 - 4848*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 449, 901, 1353, 1805?\n\"Answer: 452*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 665*g**3 + 492*g**3 + 49*g + 71*g - 945*g**4 + 270*g**5 + 13*g**3 - 620*g**2 = 0. What is g?\nAnswer: 0, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 40 - 14. Suppose 0 = 2*k + k - n + 14, 0 = -5*k - 5*n - 10. Let m = k - -17. What is the highest common factor of m and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 2 = 0, 70*n - 74*n - 62677 = -3*d. What are the prime factors of d?\nAnswer: 13, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-42)\/63*(-9)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 2568*u**5 - 1633534*u**4 - 1454128*u**3 + 314476*u**2 + 128680*u - 3822 = 0.\nAnswer: -1, -1\/4, 3\/107, 1\/3, 637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 36037833.\nAnswer: 3, 13, 163, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(187)\/((sqrt(110)\/sqrt(2))\/sqrt(5)))**2 - ((2*sqrt(204)*6 + sqrt(204))\/(sqrt(12)*1*-3))**2.\nAnswer: 952\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -130039, -130032, -130025?\n\"Answer: 7*r - 130046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l*l*l**(-1\/34)*l))\/(l*l*l**(2\/5)*l) assuming l is positive.\nAnswer: l**(-913\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -3*n**3 - n**2 + n + 1. Let q be 0 + (2*-1)\/2. Let k be c(q). Let p = 43 - 33. Solve -k*u - 5*z + 19 = 0, -2*z + p = u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-6)\/(-15))\/(1\/10). Let i be (-320)\/(-50)*(-5)\/(-2). Suppose i = -2*q + 82. Solve -15 = 3*l, 2*t + q = y*t - 5*l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67126 to the power of 1\/2, to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 3544408, 3544407, 3544406, 3544405, 3544404, 3544403?\n\"Answer: -f + 3544409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -57\/16 and -31\/54?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 666 = 11963*i - 12000*i for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 651004 + 2*k - 651004 + 6*k**3 - 2*k.\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2797410135 and 4.\nAnswer: -11189640540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:09 AM and 5:43 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.1*34.\nAnswer: 3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-16)\/h**23)**1 assuming h is positive.\nAnswer: h**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 41 = -a, -4*y - 2*a = 2*a + 20. Let k(u) = -2*u + 5. Is k(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -19.266989 - 0.1.\nAnswer: -19.366989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 28 and 119?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 249, 266, 291, 324, 365, 414?\n\"Answer: 4*k**2 + 5*k + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -338 + 135?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 30204 + -30178.589. What is v rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131033030121 (base 4) in base 8?\nAnswer: 35171431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b - 4 = -3*a - 0*a, 2*a = 4. Suppose -f + 0*f + b = 0. What is m in -4*m**f - 2 + 3*m**2 + 3*m**2 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 182*-2*(-7)\/196.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3\/11  (b) -1\/5  (c) -0.4  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22119 + -44239\/2. Let h = 0.8 - 0.7. What is the nearest to -3 in k, h, 2\/13, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 88984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 168 and 8211?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -0.01  (b) -4  (c) -0.09  (d) 0.03  (e) -59  (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/40235 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111202020 (base 3) to base 7.\nAnswer: 41136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11469 - -11487. Sort -2, f, -6, 3 in decreasing order.\nAnswer: f, 3, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -243 in -13, -24, 27?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -65736597*b - 311564642 wrt b?\nAnswer: -65736597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of -161*z**6\/8 - 817*z**3\/3 + 7*z**2 + 2*z - 7. Differentiate p(c) wrt c.\nAnswer: -7245*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3411*x**3 - 5771*x wrt x.\nAnswer: -20466*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 16 + 2 - (20 + -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -54929, -223676, -504915, -898640, -1404845, -2023524, -2754671?\n\"Answer: k**3 - 56252*k**2 + 2*k + 1320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3176 + -0.1176. What is the nearest to -0.1 in -2.3, 3\/2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 191 + 5?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -242121, -483888, -725653, -967416, -1209177, -1450936, -1692693?\nAnswer: -1934448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8069623259 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-3 - 2)*6\/(-10). Suppose -g - 20 = -4*z, -m*z - 3*g + 4 = -g. Suppose 0 = z*x - 2*x - 26. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -12d + -736?\nAnswer: -863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -226*q**2 - 2. Let k(z) = -3*z**2 - 9*z. Give k(y(u)).\nAnswer: -153228*u**4 - 678*u**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 734637 is divided by 307.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -24, -12, -6.\nAnswer: -24, -12, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -4  (b) 9  (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -9?  (a) 7  (b) -0.3  (c) 3\/4  (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 34600 is divided by 219?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -9 + 10.1. Let u = -2.1 + p. Is 5 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2008?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 1020012 (base 3) to base 2\nAnswer: 1110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -295575000 rounded to the nearest one hundred thousand?\nAnswer: -295600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -8*c**2 + 231*c - 121. Calculate u(31).\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*j - 13*j - 284 = 0. Is 0 equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7902986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 3.46.\nAnswer: -0.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 14\/(-12) - 6\/(-36). Let w be 24 + -18 + 74*k. Which is greater: -70 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -146, -366, -574, -764, -930, -1066, -1166, -1224?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -2*d - 18. Give a(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 130\/(-88)) + (-6129)\/(-22473).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -39717993 divided by -1?\nAnswer: 39717993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -6*u + 11*u. Suppose 87 + 11 = u*i. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 21 - 72 + 1 + 25 + 33 + k. Let d(s) = -32*s**2. Determine d(g(a)).\nAnswer: -32*a**2 - 512*a - 2048","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 333.22 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 36\/90*250\/40*(-13)\/(-10).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 7 in -0.5, 1973652, -8\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -666*j**2 - j + 152.\nAnswer: -1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w - 3*w - 3*w + 2*w. Let h be 2\/(2 + 7\/(-4)). Let u(l) = -3*l + h - 8. Give z(u(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 22.7 and 1273288340000?\nAnswer: 1273288339977.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) be the third derivative of v**5\/60 + 74*v**2. Let p(b) = -5*b - 568 + 543 + 2*b. Give a(p(u)).\nAnswer: 9*u**2 + 150*u + 625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 652984?\nAnswer: 2, 31, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 19 = 46. List the prime factors of (0 + s)*(-5 + 4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -0.3, 0.07, 1.783504?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 5*n, -28*w = -32*w - 12*n + 32. What is the nearest to w in -0.1, -18, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b + 4*b - 2*u + 12 - 14 = 0, -7*u = 7*b - 5*u - 16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -6 divided by -55\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2550 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 10}. What is prob of picking 2 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 47\/45920466 and -19\/10204548.\nAnswer: 91840932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 47 divide 53423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2741\/21 + 608\/7. Let g = 45 + f. Let r = -10\/21 + 8\/7. What is the nearest to r in -4, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4 + -12 + 5 + 7 + -2. Suppose 2*m = -c, 2*z = 3*m - 5*m + 6. Suppose -5*n = -8 - 2. Solve 2*v + 6*t = z*t - 8, 0 = n*v + 4*t + 18 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3 and -1067072.\nAnswer: -1067075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-13734)\/(-1242) + -11)\/(80\/(-120)).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) 1  (b) 0.3  (c) 4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**2 - 58213744*t - 211802499406096 = 0. Calculate t.\nAnswer: -7276718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 34 and 90.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 20 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:31 PM and 5:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f - 4*f + f - 2*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -3668 + 3671. Suppose -5*a = -t - 6 + 34, -6 = 3*a. Solve 5*g + w = -t, -2*g + s*w = -7*g - 14 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2565 = -5*c + d - 3*d, -4*c + 3*d = -2029. Differentiate 2*o - 27*o**4 + 511*o**2 + 54 - c*o**2 wrt o.\nAnswer: -108*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) be the first derivative of 9*y**7\/7 - 2*y**3 - 31. Find the third derivative of z(h) wrt h.\nAnswer: 1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-3 + 4)*13 + 3. Let b be ((-9)\/6)\/((-12)\/d). Suppose -b*i + 17 = -23. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 - -20.441?\nAnswer: 16.441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**5*a)\/(a*a*a*a**(9\/8)))\/(a*a\/a**(-12\/11)*(a\/(a*a**(-19)*a))\/a) assuming a is positive.\nAnswer: a**(-1515\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 586 and 14873559.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/5 in 116, -14, -0.033, 65?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or -1588271?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = -z**2 - 15*z - 17. Determine w(-9).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine w, given that -5*w**4 + 662975*w**3\/3 + 147335*w**2 - 662975*w\/3 - 147330 = 0.\nAnswer: -1, -2\/3, 1, 44199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 503694073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -10001000001101010011 (base 2) in base 13?\nAnswer: -166c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -4*x - 63. Let i be d(-17). Is (-2)\/i + (-135)\/(-25) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20090\/1435*12\/14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -21*y + 24*y - 6. Solve -y*g - 31 = 5*a - 6, -10 = 2*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + 1 + sqrt(11) + 4 + 4*4*(sqrt(11) - (sqrt(11) - sqrt(539)))**2)*-1.\nAnswer: -8629 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -847, -3311, -7415, -13159?\nAnswer: -20543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -129871 at least -129272?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 395*b**2 - 6*b - 12. Let s(w) = 789*w**2 - 11*w - 22. Calculate -11*i(z) + 6*s(z).\nAnswer: 389*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -49 + 52. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = p**2 - 13. Let j be u(-3). Which is the biggest value?  (a) 4  (b) j  (c) -1\/10  (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**3\/3 - 8*g**2\/3 - 134*g + 840.\nAnswer: 2*(g - 12)*(g - 7)*(g + 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.26 - 0.3. Let s = -0.06 + b. Which is greater: s or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -447.62 - -447.72. What is the closest to -15 in n, 2\/9, 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n + 3*y = 6*y + 8, 7 = 3*n - 4*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -1\/3, 1, 12, 1.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8 + (-161)\/21)*3\/(-2)*4. Put 5, s, -2940 in ascending order.\nAnswer: -2940, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 17 in -2, -1837, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 84 - (-13 + 1 + (-91 + 27 - -72))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 3*j**2. Let a(k) = 38920*k**2 - 119*k + 3451. Let r(m) = -973*m**2 + 3*m - 87. Let z(o) = 6*a(o) + 238*r(o). What is l(z(y))?\nAnswer: 11360748*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w = 15*w + 320. Let n be (40\/w)\/(1\/(-6)). Solve 30 = -n*b + 3*q + 3, 4*b + 2*q + 12 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {y: 1, i: 10, a: 1, g: 2}. Give prob of sequence ayig.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1.4 + 2.4. Let i = 3024\/17 - 178. Sort i, -0.2, p.\nAnswer: -0.2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 12816, 38856, 64896, 90936, 116976?\nAnswer: 143016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.01 + 0. Let g = j + -0.09. What is the third smallest value in g, 1, 1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (7\/6)\/1*(-376)\/10857*-33.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w\/((w**11\/w*w)\/w*w)*w)*w**(-5)*(w\/(w*w\/(w\/(w*w**23))))\/((w*w**(-2\/29)\/w)\/w) assuming w is positive.\nAnswer: w**(-520\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.06 times -617213\nAnswer: 37032.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -9996b3 + -9b?\nAnswer: -999770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 11 = -5*v. Differentiate 14*k**3 - k**v - 1 - 8*k**3 wrt k.\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*i - 20 = -11*i. Let y(o) = o**2 - 4*o - 5. Let q be y(i). Which is the third smallest value?  (a) q  (b) -1  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -79 - -85. Suppose 3*d - 26 = -h + w*d, 0 = -d + 5. Suppose -46*v = -h*v - 60. What is the highest common factor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 79096.06us in nanoseconds?\nAnswer: 79096060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3306 is divided by 194.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p = -0 - 40. Let u = p - 5. Let b = -11 + 22. Solve u*x = -b - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*m**2 + 504*m + 506.\nAnswer: -2*(m - 253)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 20 = 6*c. Suppose -c*t + 1156 = -d, -4*t - d + 736 = -420. What are the prime factors of t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.44 from 2422025356004.\nAnswer: 2422025356004.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -86 - -143. Solve 4*t + z = 73 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19879.6 rounded to the nearest one thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 50 + -56. Let l be (38 + 1)\/(-3*3\/g). Let j(p) = l*p - 52*p + 2*p**2 + 26*p. Let b(f) = 12*f. Give j(b(i)).\nAnswer: 288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = 2*y**3 - 44*y**2 - 8*y + 167. Calculate f(22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-4)\/(-1) - (5 + 73)*-1 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 248.59 - 251. Let u = f - -2.3. Round u to 2 dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - k + 86. Let o be a(-10). Let d(t) be the second derivative of -t**4\/12 - t**3\/3 + 3*t**2\/2 + 2*t. Let s be d(o). Which is greater: -8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 39 = 5*w, -4*k + 39 = w - 30. Suppose -k*p = p - 19. Solve 17*t - 18*t = p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(176)*1 - sqrt(396)*-3 - (sqrt(484) + sqrt(484) + 1*1*sqrt(484))\/sqrt(11)))**2.\nAnswer: -64*sqrt(11) + 2820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1.2 - -7.2. Let l = 63.3 + 337.7. Let v = l + -398. Which is the second smallest value?  (a) o  (b) -4  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.5 * 79\nAnswer: -39.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -659 = -3*i - 122. What are the prime factors of i?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q**5\/7 - 27275*q**4\/7 + 183331552*q**3\/7 + 36126291924*q**2\/7 + 272395698336*q + 2052646723008 = 0. Calculate q.\nAnswer: -92, -9, 13734","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 26866279 a multiple of 1941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 452025437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*-0.4178.\nAnswer: 0.4178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 2*i - 4, 4*i + 280 - 302 = 6*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 52267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 = -5*a - 3. Suppose 114 = -a*f + 142. Calculate the lowest common multiple of f and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*j + 117 = 293 + 275 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -3071513 to the nearest 10000.\nAnswer: -3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t + 0 = 10. Let l = 3953 - 3952. Put t, 6, l in descending order.\nAnswer: 6, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(1\/5)*a*a**(-2))\/(a*a**1\/a)**24 assuming a is positive.\nAnswer: a**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50 + 30 - (-5 - -86).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 547059186?\nAnswer: 2, 3, 23, 1321399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = -o**3 - 28*o**2 + 23*o + 38. Is v(-29) a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 33 = 2*o, -4*o - 23 + 2 = -j. Suppose -2*z - 3*i = 0, 0 = j*i - 8 + 28. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(2) + sqrt(2) + 1*sqrt(72) + sqrt(200) + 0 + sqrt(2) - (2*(sqrt(128) + -2) + sqrt(128))))**2.\nAnswer: -160*sqrt(2) + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -26.141932143 and -9.4?\nAnswer: 16.741932143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -322*w. Let c(l) = 374*l**2. Give c(s(i)).\nAnswer: 38777816*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*p + 12*p = -12. Solve -3*d + 4 + 4 = -2*c, -d + p = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 6488139 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 26066 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 8171 is divided by 928?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sum -20061598 and 2.9.\nAnswer: -20061595.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 406 = -4206*y + 4003*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**2)\/(i\/i**6))\/((i**6\/i)\/i**(-2\/9)))**(18\/5) assuming i is positive.\nAnswer: i**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 326524, 653053, 979586, 1306123?\nAnswer: 1632664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 46509 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**3 + 31*f**2 + 51*f - 1043. Is 81 a factor of k(23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -37 + -34 + 111 + 82.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -2*m - 44, l - 4*l + 15 = 3*m. What is the greatest common divisor of l and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:41 PM and 11:51 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0083801081 rounded to four decimal places?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 0.0054137g?\nAnswer: 5.4137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 158753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) be the first derivative of i**4\/2 - 5*i**2\/2 - 21. Let y(h) be the second derivative of 7*h**5\/20 - 7*h**3\/2 - 3*h - 25. Calculate 21*c(s) - 5*y(s).\nAnswer: 7*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 244 minutes after 9:55 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -177 = -5*t - 14*v, -47*t + 4*v = -46*t + 53. Let a = -1 - -1. Suppose 4 + a = -2*l. Sort l, 5, t, 0.\nAnswer: l, t, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-31) + -16 + 2490\/155.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i\/i**0)**(-50))**(-4))**1 assuming i is positive.\nAnswer: i**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 148 minutes before 7:55 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 331 divided by -885133\nAnswer: -331\/885133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 17553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 13836 - 13833. Suppose -3*r - 3*z + 3 = 0, 2*r - 3*z - 7 - 20 = 0. Solve -6 = -r*t + i*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.2 and -296594.\nAnswer: -296594.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 116028 is divided by 589.\nAnswer: 584","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s + 4*z - 3*z - 156, -8 = -2*z. Let t = -44 + s. Let i = 32 + t. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 11*k - 4. Let l(d) = -3*d**2 + 10*d - 3. Calculate -3*j(q) + 4*l(q).\nAnswer: 3*q**3 + 7*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = g**2 + 8*g - 4. Suppose 0 = -3*h + 2*h - 12. Does 15 divide s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 552*h + 158978. Give j(-288).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -3666, -3644, -3608, -3546, -3446, -3296, -3084?\n\"Answer: 2*f**3 - 5*f**2 + 23*f - 3686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (49 - -44 - -28) + 9 + -41?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -r - 10 = -2*n, -184*n - 21 = -187*n + 3*r for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (6 - (4 + -4)) + -4. Solve 0 = y*d + m + 7, -2*d + 2*m = d + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -11 + (-5 + 3 - (2 - 8))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1*(-2)\/(-4) + 13 + (-4446)\/324. Let g = -0.03 - 1.97. Let u = 3.8 + 1.2. What is the nearest to k in g, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30, 64, 98?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -12291*x**2 + 100553*x wrt x?\nAnswer: -24582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 1 - 2*z - 1 + (-1 - 2 + 1)*(2*z + 0*z + 0*z) + 3*z - 11*z - 13*z.\nAnswer: -27*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 + (20 - 10) + -31?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 0, -7, -14, -21?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 77*o**2 + 18*o + 71. What is i(8)?\nAnswer: 5143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q + 5. Suppose y + 11*y + 1140 = 0. Let k = y - -99. Determine m(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2376558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -562, -2053, -4540, -8023, -12502?\n\"Answer: -498*a**2 + 3*a - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**(-7))**(-18\/5))**29 assuming a is positive.\nAnswer: a**(3654\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -0.2, -0.3, 1, -13, -0.4, -5861\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = 2*q**2 + 6*q + 2. Let u be r(-4). Suppose -4*z = -8*z + 280. What is the highest common divisor of z and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 17*f + 2*k - 10 = 17*f, 0 = -4*f + 2*k - 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y - 3. Determine w(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + 2)*(0*r + r + 0*r) + 5*r + r - 4*r - 61*r - 43*r + 220*r to the form b + x*r and give x.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 6*a - 47. Let d(h) = -7*h + 49. Give -5*d(x) - 6*o(x).\nAnswer: -x + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c + 2566 = 2574 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((0 + 0 + y)*(3 + 2*y - 3) + 2*y**2 - 12*y**2 + y**2 + 3*y**2 + 2 - 2)*(-1289 + 760 + 1310 + 1287) to q*y**2 + v*y + d and give q.\nAnswer: -8272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 3.3 - 5.3. What is the nearest to -2\/3 in -0.4, 0.4, k?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}