diff --git "a/data/dm_maths/full_data_1/1640_11255.jsonl" "b/data/dm_maths/full_data_1/1640_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1640_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify (3*(sqrt(875)*-5)\/sqrt(7))**2 - (-5 + ((-1 + sqrt(320))*5)**2).\nAnswer: 400*sqrt(5) + 20105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 7322070.\nAnswer: 14644140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c - 8*c**4 + 2*c**4 - 3*c**2 - 3*c**3 + 4*c**4 - c + 1 to q*c**3 + b*c**2 + v + k*c + p*c**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - 104*m**2 - 831*m - 7305. Calculate l(112).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -8\/6299 (c) -0.02 (d) -4 (e) -3\/5 (f) -14\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -306*w**2\/13 - 402*w\/13 + 8\/13 = 0.\nAnswer: -4\/3, 1\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 7 + 2)*(0 + 1 + 1)*(2 - 1 + 1)*(0 - 1 - 2)*(-380 + 70*u + 380 + (0*u - 2*u + 3*u)*(1 - 11 + 0)).\nAnswer: 1440*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**2 + 11*b + 8. Let l(t) = 11*t**2 - 17*t - 12. Let u(c) = 5*l(c) + 8*v(c). Let z be u(3). Suppose z*g + 9 - 25 = 0. Is g a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1711, 4, -5 in descending order.\nAnswer: 1711, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 266827909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 32 = -3*i + 50 + 2 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 390?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/5 - (-6)\/(-15). Let p be (-60)\/(-27) - (-4)\/(-18). What is the second derivative of -6*b**2 + 2 - 2 - p*b + s*b**2 wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1276, 6110, 14168, 25450?\n\"Answer: 1612*j**2 - 2*j - 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -28. Suppose -3*l - 4 = 5*i, -i + 1 = l + 3. Suppose g*a - 5*a = i. Let v(s) = -1. Let q(u) = u**3 - 2*u + 1. Determine a*q(t) - v(t).\nAnswer: t**3 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 10175687*l\/4 - 15263535\/2.\nAnswer: (l - 3)*(l + 10175690)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 10471510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1\/4, -22, 0.5, -19?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 12) to base 9\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 0.7. Let m = v - -1. Which is smaller: m or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2245 (base 9) in base 14?\nAnswer: -869","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 70 = 4*q. Let t(k) = 42*k - 2515. What is the remainder when t(61) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -179, -187, -195, -203, -211?\n\"Answer: -8*w - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from jwjjnjwwnjjwjjwj.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6190 + -4229. List the prime factors of h.\nAnswer: 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 6. Let n be t(7). Solve -5 = -4*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/31800 and -61\/2650.\nAnswer: 31800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341 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 g = 2074 + -2615.3. Let y = g - -541. What is the fourth smallest value in 0.2, 0.05, 2, y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 - a + 4. Let f be v(0). Let m = 67 - -20. Suppose 0 = 2*g - m + 23. What is the greatest common divisor of g and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 3*b - 3. Let j be d(-3). Let t(u) = 14*u**2 - 2*u - 2. Let i be t(j). Suppose r - 3*z - i = 0, 3*r - 5*z + 13 = 399. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 1. Let m be (2\/2 - 0) + -4. Determine t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = -x + 2*u, 20 = -x - 3*u. Let v = -5 - x. Suppose v*d = 3*d. Solve -o - 5 = -d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*t**2 - 13*t**2 - 72*t + 43*t**2 - 17*t**2 in the form n*t**2 + b*t + u and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -408 by -102.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(1\/4)\/b*b)**(-23)*(b\/b**(-5))\/b**(-4) assuming b is positive.\nAnswer: b**(-167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/2 + (-4)\/(-8). Suppose 8 = -2*k + c*k. Let h(r) = -r**3 - 5*r**2 + 5*r - 2. Let v be h(-6). Solve -j - k = -w, v*j + 0*j + 17 = w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-348)\/48 + 11)\/(20\/(-6))?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17778, 35462, 53140, 70812, 88478, 106138?\n\"Answer: -3*k**2 + 17693*k + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 17381, -11\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29684.92 litres to millilitres.\nAnswer: 29684920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3860579 tonnes in nanograms?\nAnswer: 386057900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 424, 420, 414, 406, 396, 384, 370?\n\"Answer: -f**2 - f + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*p - 2*f + 3, -4*f + 7 = -3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*l = -115, l = -5*f - 94 - 55. What is the common denominator of (1\/f)\/((-18)\/1035) and -31\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2. Let g(w) = 436*w**2 + 460*w**2 + 332*w**2. Calculate g(v(m)).\nAnswer: 30700*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -196 - -194. Suppose -5*u - 5 = -4*z + 3, 4*z - 8 = 2*u. Let j be z\/(-9) - 32\/(-306). Which is the second biggest value? (a) s (b) j (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:52 AM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 6*k + 7. Let g = -24 + 19. Let t be v(g). Suppose 0 = q + t*q - 2661. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*o = 56, -62*z + 95345 - 97582 = -o for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 397*b - 3 = 10*z + 394*b, 6*z - 4*b = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14498807929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-158)\/(-4) + 2\/4. Let c be (-5)\/v*-1*2. Let a(s) = s**3 + 2*s**2 + 2*s + 2. Let t be a(-2). What is the nearest to c in t, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 197, 210, 223, 236, 249?\n\"Answer: 13*f + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 1 + (sqrt(40) - sqrt(40)*2 - sqrt(40))\/sqrt(8).\nAnswer: 1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 24. Let c = -638 + 613. Determine a(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 16200 = 21783. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6))\/((-5)\/15). Let g be (-18)\/d - (0 - -4). Which is the closest to 0.2? (a) -2 (b) -1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 12 - 14 = 0. Suppose -3*y - 15 = 3*j, -j - b = -3*j + 4*y. List the prime factors of 42 + j + 1*(-6)\/(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774 is divided by 87?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o**2 - 184*o + 363. Determine u(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*f*p**4 - 12*f*p**3 - 85*f - 25 with respect to p.\nAnswer: 500*f*p**3 - 36*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 1)*(x**3 + 3*x**3 - 2*x**3) - 28106 + 613*x**3 + 28106 to the form c*x**3 + v + z*x + t*x**2 and give c.\nAnswer: 615","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1446 divided by 5.\nAnswer: -1446\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 2*q - 191*q**2 - 608*q**2 - 49*q**2 to i*q**2 + w*q + y and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8681\/4 - -2158. Let g = 13 + i. What is the closest to g in -3\/5, -2\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 4168324*d**2.\nAnswer: -4*d**2*(d + 1042081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 6. Solve -15 = -q*c + 5*j, -2*j = 5*c + 6 - 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 1 - (-9)\/42. Let k = 1\/28 + l. Which is the second biggest value? (a) k (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 63. Suppose -x*f + f = 0. Factor f*w**2 + 1\/2*w**5 + 0*w + 0 - w**4 + 0*w**3.\nAnswer: w**4*(w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*t - t = 6, -4*k - 3*t + 10 = 0. Suppose 0 = -5*v + 11 - k. Let z = 1068 - 1052. Solve 0 = -3*a + 5*j + z, 0 = 4*a + 2*j + v*j + 32 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -355559?\nAnswer: -355559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p + 1358 - 192 = -14 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-8) - 26\/(-8). Let x(v) = -v + 7. Let q be x(n). Calculate the remainder when (-10 + q)\/(6\/(-8)) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 7*f**2 - 16. Let i be b(5). Let j be 246\/4 - (-2)\/(-4). Let d = j - i. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.34 - -2.34. Let d = 38\/333 + 4\/37. What is the smallest value in l, 1\/12, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 1) + 40\/4. What is the second derivative of 6*t + 21*t**4 - 12*t**4 - l*t**4 wrt t?\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.63 + -0.84. Let l = q + 0.01. What is the third biggest value in -22, 3\/4, l?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((-30)\/(-18))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 15*j**4\/4 - 4616*j. Let i(b) = 24*b**2 + 4. What is i(q(y))?\nAnswer: 48600*y**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 288247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88876 or 875?\nAnswer: -88876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6*4\/(96\/20). Solve 24 = -4*g + 3*j + 25, -j = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 1. Let b(a) = -a + 2. Let z = -9 - -12. Determine z*b(r) - 6*m(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1306 - -116.4706. Let l = 111 + 4. Let k = o - l. What is k rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k = 16*k. Let l be -1 - (-5 + 1 + k). Suppose 5*n - u + 2901 + 144 = 0, -l*u = -4*n - 2425. Round n to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9318?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2326 is divided by 795.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 756759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 430, 1481, 3520, 6877?\nAnswer: 11882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/2 and ((-21)\/(-223308)*1)\/(-4 - 749\/(-189)).\nAnswer: 24812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 833 - 1155*p - 1048*p - 828.\nAnswer: -2203*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594180703.\nAnswer: 9511, 62473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1.6. Let o = 1.41 - 0.01. Let i = y - o. Which is the smallest value? (a) -5 (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 2*n**2 + 4*n - 10. Let b be y(-5). Let u be (b\/16)\/((-10)\/(-180)). Let l = u - 51. Which is bigger: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62 - -66.9. Let a = 0.3 + -5.3. Let c = q + a. Is -0.3 at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134 + (445 - 523 - (5 - 43)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 d when three letters picked without replacement from ddmz?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -4*q, -3*f + 30 = 3*q. Let p(h) = 5*h - 10. Let g be p(f). Suppose 0 = -d + 5*d - g. Calculate the smallest common multiple of d and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14, 3, -1.082?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -103\/6. Let l be 14\/(-49)*7\/(-5). Which is the closest to 0.1? (a) y (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9929 + -9811. Solve 20 = d*f - 113*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5449?\nAnswer: 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -l + 15. List the prime factors of l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14941, -29601, -43977, -58069, -71877, -85401, -98641?\nAnswer: -111597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26187 - 18285. Calculate the greatest common factor of 90 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 196*n**3 - 2*n**2 + 6*n - 3. Let q be ((3\/6)\/(-1))\/(3\/(-6)). Let d be r(q). Round d to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from kmkukukumuummkkmmkm.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1254841 and 847.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(170) + -4*sqrt(170)))\/(sqrt(90)\/sqrt(9)*-1))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -1. Let u = -14.4 - -11. Let o = u - -0.4. Which is the second smallest value? (a) n (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 10*h**2. Let t be q(1). Let c be (-4)\/t + (-18)\/5. Let l be ((-3)\/2)\/(2\/c). Solve l*a = j + 11, -6*j + 36 = -2*j + 4*a for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5989 is divided by 2977?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/289, 3, 1\/2, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 19, y: 1}. Give prob of picking 2 r and 1 y.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25294 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.53, 5, 816?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 8:39 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*t - 7 - 13, -5*t = 4*f + 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/24 - 7*w**3\/2 - w**2 - 148*w. Let a(y) = 6*y**2. Calculate z(a(g)).\nAnswer: -6*g**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/1 - (-5 - 0). Let h = 716 - 15038\/21. Which is the biggest value? (a) w (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 241189*m**2 + 18*m - 241188*m**2 - 15*m - 3*m.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269608.7ng in grams?\nAnswer: 0.0002696087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 9*g = 2*s - 2199, 5*s - 5463 = -g. Calculate the remainder when -1 + -2 + 384\/3 is divided by s\/(-117)*(-18)\/4.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2711.8 (b) 701\/2 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(84\/2))\/(298\/(-30396))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*s = -181*s + 313880. List the prime factors of s.\nAnswer: 2, 7, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(20\/32)*25\/(-30)*819\/21.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-33))\/(35 + (-6119)\/174). Let u = 3.08 + -0.08. Which is the second smallest value? (a) -3\/7 (b) 5 (c) g (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 413*x + 6680. Determine v(-16).\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37 - 5 + 64)*(-h**4 + 2*h**2 - 2*h**2) in the form s*h**4 + b*h + n + a*h**3 + j*h**2 and give s.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 1. Let h be w(1). Suppose 5*z = h*k - 45 + 9, 0 = -2*k + 2*z + 20. Calculate the remainder when k is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/5 of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 4:10 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -339*p**2 + 226*p**2 + 228*p**2 + 949*p**3 - 115*p**2.\nAnswer: 949*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2*sqrt(50)\/sqrt(5))\/(sqrt(25)\/((sqrt(10)\/sqrt(2) - sqrt(5)) + sqrt(5) + sqrt(5))))**2.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 + -6.04. Let t = 1.1 + -12.1. Let r = t - a. What is the closest to 1 in r, -4, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.9 + -19.1. Which is the nearest to 2? (a) -2 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**4 + 9*i**2 - 9*i**2)*(26 + 13 - 6)*(-1 - 5 + 2)*(0*i + 3*i - i + (3 - 1 + 0)*(-i + 2*i + 0*i) + (-1 + 0 - 3)*(2*i + 3*i - 3*i)).\nAnswer: -1584*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61307 + 688933 = 18*r + 14*r. Is r not equal to 23445?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 - 2 + 2)*(-3*c**2 - 1 + 1) + (-2*c - 3*c + 2*c)*(-3*c**3 + 3 - 3).\nAnswer: 15*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 2*f**2. Let o(c) = 67*c**3 - 69*c**2. Let h(v) = o(v) - 4*r(v). Find the third derivative of h(u) wrt u.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11 - (-1 + (1 - 1)). Suppose -5*g - 12 = -3*g. Let n be ((-21)\/9 + 2)*g. Solve -p = -m - n*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26439*-2.\nAnswer: 52878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 204*u**2 + 183*u**2 + 2 to the form d*u + v*u**2 + n and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3740472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 13\/4 of a meter?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.7449 to 1 decimal place.\nAnswer: 35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 11878119.\nAnswer: 2375623.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 14*u**2 - 22*u**2 - 4 + 33*u**2 + u**4 as y*u + g*u**3 + z*u**2 + l + v*u**4 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.12152 - -1.12152. Which is the closest to 0.3? (a) 14 (b) -2\/11 (c) o (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1041?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49293 + -15614. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1870*j + 6. Let o(s) = -1852*s + 5. Determine -5*o(c) + 4*p(c).\nAnswer: 1780*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.23 + -1.23. Let w = 0.47 + -0.47. What is the nearest to f in 1, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9361025 is divided by 1921.\nAnswer: 1913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3208 and 246587331?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, s: 1, f: 2, c: 14}. What is prob of sequence cfcs?\nAnswer: 91\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 240 + 228 = 0. Suppose -y*f + 24 = 4*f. Let l be 40\/25*2\/8. Is f equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(((-24)\/(-14))\/(2\/(-7))))\/((-4)\/354).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-10)\/(1260\/27))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -7*w**3\/6 + w**2\/2 - w. Let s be (4\/(-4))\/(3\/(2 - 5)). Give q(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11635997*k**5 + 2899632*k**2 - 3 wrt k.\nAnswer: -698159820*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 14*n - 5. Let a be k(-14). Suppose 2*p + 19 = 7. What is the least common multiple of 44 and (-5)\/(-30)*a*8*p?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25360 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 4. Let t = 182 - 178. Give c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 258032.04.\nAnswer: 258017.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9500210*0.056.\nAnswer: -532011.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10371 divided by -3457?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 2*j = -33 + 3, -15 = 2*o + 5*j for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*x - 1504 + 5313. Let j(t) = 6 - 7 - 296*t + x*t. Let u(b) be the third derivative of -b**5\/30 + b**2. Determine u(j(l)).\nAnswer: -18*l**2 - 12*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2200*w - 2177*w + 1426 for w.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.29 and 0.035.\nAnswer: -0.01015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + d = -8. Suppose 7*l = d*l - 6. Suppose -2*t - t = -l. Solve -t*f = 2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 8*j - 112. Let u be c(19). Suppose u*p = 50*p - 420. What is the lowest common multiple of p and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 27*w**3 + 2*w**2 - 3*w + 2. Let o be t(1). Let h be (-2)\/(-3 + o\/12). Solve -p - h*p + 35 = -3*n, -5*n + 3*p = 40 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 307 divided by 46573?\nAnswer: 307\/46573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/10)\/((-12)\/120). Let x be ((h - -3) + 3)\/((-4)\/10). Suppose 0*y = v + x*y + 1, -2*v = 2*y - 6. What is the least common multiple of 9 and v?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 52739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 52622*b - 166601904.\nAnswer: 2*(b - 29167)*(b + 2856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -226 - -215 - (6 + -5 + -39).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 10*s + 162. Let k be w(-16). Suppose -k*a + 626 = 4*n, -784 = 4*n - 9*n - 4*a. What is the highest common factor of n and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 1498.\nAnswer: 4494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z - z**4 - z**3 - 4*z + z + 17*z**2 - 16*z**2.\nAnswer: -z*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 11*u**2 + u - 24. Let j be t(-5). Let b = j - 119. Solve -f + 2 = 0, 0 = b*g + 3*g - 5*f - 10 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 100 + 8. Let s be (-6)\/(-27) + 28\/z. Find the first derivative of -4 + 4*r - s - 3*r + 4*r wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -429 - -442. Is (-201366)\/(-26) - (1 - 15\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -244*w - 17. Let o(a) = -43*a - 3. Let j(t) = -34*o(t) + 6*s(t). Let z(i) = -2*i - 486. What is j(z(n))?\nAnswer: 4*n + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r. Let p(o) = -19*o**2 + 73*o. What is p(h(l))?\nAnswer: -304*l**2 - 292*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -79485786*d - 25118600 wrt d.\nAnswer: -79485786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12062907 is divided by 570?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/95)\/(j\/((j**(16\/9)*j)\/j)))\/(j*j**(-1)*j)**(-31))**(-33) assuming j is positive.\nAnswer: j**(-299068\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.00706 + 0.00706. What is the fourth biggest value in u, -1\/12, 3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of h**6\/40 - 2*h**5\/15 + 3*h**4\/8 - 5*h**3\/6 - h**2. Let k(g) = -g**3 + 6*g**2 - 6*g + 11. Let n be k(5). Is s(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 19339928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158 = -t - 15*o + 17, -o - 214 = 2*t - 18*o for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 40*a**2 + 4. Let k(b) = 1. Give -4*k(x) + n(x).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-23)*(c*c**(3\/4))\/c assuming c is positive.\nAnswer: c**(-89\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1. Let v(d) = 1. Let z(c) = 2*c**2 - 6*c - 2. Let b(a) = g*z(a) - 2*v(a). Factor b(o).\nAnswer: -2*o*(o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -9\/5, -3, -2\/19, -49970 in descending order.\nAnswer: 2\/7, -2\/19, -9\/5, -3, -49970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*x - 66 = -26, 4*z = -x - 34. Let f = z - -29. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 6*r - 33*r + 14 + 23*r + 2 - 6.\nAnswer: -4*r + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 42890.439 to the nearest 100.\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55060706.\nAnswer: 2, 83, 331691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2197\/3 + 732. Let c = 206\/15 + -62\/5. What is the nearest to c in -7, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -94\/41?\nAnswer: -94\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 15 + 3*u + 4*u**2 - 9 + 5*u = 0. What is u?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 86 - 70. Let k(f) = 8*f + 20. What is the hundreds digit of k(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -9 + 20 - 11 - 8*s. What is n(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0001 - -0.004. What is c rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 6*l. Suppose -2*h = -4*h - 12. Let q be b(h). Is q >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-23 - (-39 - -27)) + 1 + 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 f when two letters picked without replacement from perpfyhf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/6)\/(-3*3\/(-3))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -27 + (-5635)\/(-210) + -3*(-2)\/4. Sort -67, 5, j.\nAnswer: -67, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 2*s + 3*s)*(3 - 1 + 0)*(-8 - 34 - 1).\nAnswer: -172*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 - 2*s - 5*s**2 + 22055*s**3 - 22057*s**3 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5712 and 4528608?\nAnswer: 76986336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -6*f**2 - f - 1. Let q be m(6). Suppose 6071 = -39*g + 1196. Let o = g - q. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 z when four letters picked without replacement from jnzjhzjhhjhnjhz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1*(34\/(-4) + 10 + 70\/(-20) - 29)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (434476\/(-1841))\/(10*6\/15)?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 172650551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169575?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - w + 1 = h, -h + 11 = -4*w. Solve 3*z + z - h*j = -3, 3*z + 5*j = -24 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1544 = 930*s + 20037 - 3911 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 21*k. Let h(a) = -46*a - 5. Let b(c) = -36*c - 4. Let q(u) = -5*b(u) + 4*h(u). What is -21*q(t) - 3*v(t)?\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*j + 157*j + 68 = 77*j for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45850 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(252) - (-2*sqrt(252))**2) + sqrt(252) + 1)*4 - (sqrt(1008) + sqrt(1008) + sqrt(1008)*2 + -4 - (sqrt(1008) + 1 + -4))**2.\nAnswer: -13105 + 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 28153067*q**2. Let y(u) = -2*u. What is o(y(r))?\nAnswer: 112612268*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 - 103?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4576 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 460 a factor of 2467445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**2 + 6*r + 17. Let h be n(5). Is 1 less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/15 - 51708*c**2\/5 + 413696*c\/5 - 496448\/3.\nAnswer: -2*(c - 4)**2*(c + 77570)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f - 651. Let m be u(0). Let n be 3\/6 + m\/14. Let q = 105 + n. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 5*m - 11*m. Suppose 0*y - 2*y = 0. Factor y + 2\/7*w**3 + 0*w**m - 2\/7*w.\nAnswer: 2*w*(w - 1)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 966 is divided by 135?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227546069 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 8*s - 315 = 0. What is the units digit of (s - -15)\/(-1 - 1\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/9))**9)**(-3\/8))**(6\/13) assuming n is positive.\nAnswer: n**(-9\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -16 + 45 + -36 + (-106 - (-5 + 16 - 6))\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/9 - (-877425)\/45 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*o**4 + 3*o**2 - 3*o**4 + 8*o**4 - 20*o to the form y*o**3 + k*o + f + n*o**2 + q*o**4 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920134745.\nAnswer: 5, 11, 31, 155699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(110) - 2*sqrt(110)) - sqrt(110))\/(sqrt(40)\/sqrt(4)*-6) - (sqrt(891)*2 - sqrt(110)\/(sqrt(10)*4)))**2.\nAnswer: 517979\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1898778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 15) in base 4?\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x - 13*x - 8*x + 18*x + 21*x.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23188 (base 11) to base 8.\nAnswer: -101324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes before 3:52 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10600771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 229858.479 milliseconds?\nAnswer: 0.0026603990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -5*c - 42, 0 = 4*u - c + 3*c - 80. Suppose -4*m + 10 = -10. Calculate the remainder when u is divided by -1 + 0 + 4 + m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.644117 to 1 dp.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*b = -136, 340 = -z + 6*z - 2*b. Let f = -210 + 295. Calculate the highest common divisor of z and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60 - -43. Let t = -211 - -282. Let i = m + t. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -15, 8 in decreasing order.\nAnswer: 8, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147391683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 218 - 242 = 0. Suppose 1041 = y*a - 471. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 147, 1 in decreasing order.\nAnswer: 154, 147, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -6*h**2 + h - 4. Give j(3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 66?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*f**3 - 692*f**3 - 419*f**3.\nAnswer: -1012*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*y - 10*y + 4 + 13*y - 2.\nAnswer: 46*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -37, 1, 4, 0.\nAnswer: -37, -5, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*f - 3760 = 298*f + 2928 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.05 and -124104361.3.\nAnswer: -124104361.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 13*l**2 + 10*l + 60. Let k(c) = -c**3 - 6*c**2 + 11*c - 6. What is the remainder when k(-8) is divided by f(14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76 * -1034\nAnswer: -78584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340575866 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95216.011 - 334592.\nAnswer: -239375.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h + 625 = -1208. Is h bigger than 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1512 - 1195*f**2 + 1499 + 1193*f**2.\nAnswer: -2*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3304 - 2297. Calculate the remainder when w is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102 + 108. Calculate the remainder when 1*9*(-1 + 2) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 211 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4301 + -2381. Does 35 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2 - 1 - 2 + 614*s - 613*s. Let j(l) be the second derivative of -l**3 + 3*l**2 + l. What is 2*j(r) + 11*k(r)?\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -77616 <= -77615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.93 - -0.07. Let k(i) = -i**2 + 5*i - 2. Let w be k(3). Suppose 4 = -5*v - 3*o, 0 = -3*v + o - w + 10. Sort 2\/7, f, v in decreasing order.\nAnswer: f, v, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyyxhxvjyjhxyn. Give prob of sequence yx.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 20512?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**2 - 440*g + 2204. What is the lowest common multiple of u(5) and 1270?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b - 4*b + 194 = -70*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-20) + 7\/2. Suppose l*k = -k + 8. Suppose 4*t + w = 945, -w + 94 = k*t - 381. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78bb (base 14) to base 7.\nAnswer: -115024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -4*u + 54908, -18*u + 20*u + 3*o - 27484 = 0. Is 31 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5129 or 27264?\nAnswer: 27264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44896, 89854, 134812, 179770?\nAnswer: 224728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4643 is divided by 2302.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 34*g + 220. Let b be u(-26). Suppose -183 = -b*z + 129. Do 24 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225010 to the nearest integer?\nAnswer: 474","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 {s: 7, f: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(21\/(-49))\/((-4)\/(-14)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 9*b = -52075, 5*n - 53014 = 3*b + 77271. List the prime factors of n.\nAnswer: 2, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51002, -102000, -152998, -203996?\nAnswer: -254994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1540 = 10*l - 14*l - 4*k, 5*l + 2*k = 1940. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001418593 rounded to 6 decimal places?\nAnswer: -0.000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 129781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/12 + 7\/3. Solve f*v + 10 + 1 = 2*k, 0 = v - 2*k + 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, 4, 2, 0 in descending order.\nAnswer: 4, 2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -3 - 5) + (-3 - -15) - 17?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 3:22 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4066761.\nAnswer: 3, 1103, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g**2 - 128 + 71 + 57 + 87*g**2.\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(4 + -1*3*(sqrt(200) - (1*sqrt(200) + 1))).\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {x: 1, r: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26401019 times 4?\nAnswer: 105604076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-5) + 152\/38*(-3 + (-186)\/(-15)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -52. Let j = 37 - v. Let t = j + -15. What is the closest to t in 0.4, 4\/7, -5\/3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 1:55 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 37*f**2 + 141*f + 132. Calculate b(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/7 + (1 + -2 - 2). Let y = -1 - -3. Suppose -y*k = -5*n + 14, 0 = -4*k - k - 4*n + 31. Sort -3, k, i in decreasing order.\nAnswer: k, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169902782 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, p: 4, h: 4}. Give prob of picking 3 p.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*m + 120, 0 = m + 3*r - 12 - 48. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 143952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v + 3. Let i be t(-3). Let z(x) = -x**3 + 7*x**2 - 6*x + 3. Let d be z(i). Let c = d + -1. What is the highest common factor of 8 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -21, -2\/2049, -3, 2, 0.3, 0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9517 and 186.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -37. Suppose 5 = 5*l + u. List the prime factors of (-10)\/(2\/l) + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/19, 2, -4, 4, -389\/2.\nAnswer: -389\/2, -4, 0, 3\/19, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -6*n - 20, -3*v = 5*n - 311. Suppose v = 4*d - 12. Does 9 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 489096*b**2*t**4 + b**2*t**2 - 77515586*b**2*t - 4*b**2 wrt t.\nAnswer: 5869152*b**2*t**2 + 2*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 170\/12 - 3\/18. Suppose h - f = 42. Calculate the greatest common factor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10102220 (base 3) to base 16.\nAnswer: 9cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -132, -6.\nAnswer: -132, -6, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 8*z = -10*z + 187, c - 2*z - 65 = 0. What is the lowest common multiple of c and 602?\nAnswer: 5418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - 32143?\nAnswer: -32134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -9*n. Let i(g) = -2*g**2 + 5*g. Let l(b) = -b**2 + 2*b. Let p(j) = -6*i(j) + 15*l(j). Calculate a(p(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**5\/20 - 7*p**4\/6 + p**3\/2 - 38*p. Let j be y(-14). What is j rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (18 + -14 - (-8011 + 1))?\nAnswer: 2, 7, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-171)\/(-185592)*-44*(-8)\/(-18).\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 967, 2203, 3945, 6199, 8971, 12267?\nAnswer: 16093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 490009, 490010, 490011?\n\"Answer: r + 490008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - 4*c + 4*c)*(22 + 79 - 26)*(1 + 16*c - 1).\nAnswer: 2400*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 - 6 = 0, -h + 23 = -2*t. Let i = h - 6. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191743.\nAnswer: 17, 11279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/((6\/33 - 162\/(-198))\/(-8)). What is the third smallest value in 85, -0.1, p?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 696*k**2 + 610*k**2 - 1890*k**2 + 0*k + 5*k + 623*k**2 - 2*k.\nAnswer: 39*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(78)\/((sqrt(162)\/sqrt(3))\/sqrt(9)))**2 - (sqrt(468)*2 + 4)).\nAnswer: -9 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/915 + 2707\/34770. Which is smaller: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v + 3090 = -100*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from {u: 5, n: 2, x: 7}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*717\nAnswer: 143.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -b46430?\nAnswer: -b46434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.11292ml to litres.\nAnswer: 0.00211292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -21. Let p = o - -25. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 7*y + 10. Let c = -36 + 106. Let i be c\/(-15)*(-3)\/(-2). Let w be d(i). Solve -s - s = w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 59028, 0 in descending order.\nAnswer: 59028, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = -4. Calculate the smallest common multiple of 10 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*b**4 - 10*b**3 + 264*b**2 - 81176*b.\nAnswer: 372*b**2 - 60*b + 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 7. Suppose 0*p - 3*p = -f. Find the first derivative of 0 + p*m - 2 - m wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 - 11*y**2 - 30*y + 149. Let r be s(6). Suppose -r*d + 86 = -3*v, 5*d - 2*v + 7*v = 70. What is the lowest common multiple of d and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v + 34*v = 52. Let z be v\/(-13) - (5 + -1). Suppose 3549990 = 5*d - 2*l, z = -5*l + 29 - 4. Round d to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i**3 + 12*i**2 - 3*i. Let b(o) = -5*o**3 - 6*o**2 + o. Let p(j) = 5*b(j) + 3*m(j). Let s(u) = 6*u**3 + 7*u**2 - 5*u. Give 5*p(a) - 4*s(a).\nAnswer: a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 107*q - 39. Let c(a) = 54*a - 19. Let x(t) = 5*c(t) - 3*l(t). Differentiate x(p) wrt p.\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -2*k**2 + 6*k - 7. Let f be (1 - (-6)\/(-15))*15. Let c be h(f). Let x be c\/25 + (-6)\/15. Sort x, 0.5, -1 in descending order.\nAnswer: 0.5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-6))\/(6\/(-4)). Let z = 24.911 + 0.089. Let k = 28 - z. Which is the closest to -2\/7? (a) w (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58694, -469486, -1584468, -3755726, -7335346, -12675414, -20128016, -30045238?\n\"Answer: -58681*c**3 - 9*c**2 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 4*x + 1, -5*d - 19 = -4*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v - 16. Let k be g(-10). Put -5, k, 3 in decreasing order.\nAnswer: k, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33598 is divided by 175.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 3*h + 7. Let o be j(-5). Let c be 14\/8 - o\/12. Calculate the common denominator of 2 + (-30)\/(-8)*c and 31\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1159 - 1159. Let d(m) = -m**3 - m**2 - 5*m - 10. Calculate d(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = z. Let x be 318008\/(-635)*5\/(-2). Suppose -4*y - l + 1463 + x = z, 0 = l + 5. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -14. Suppose 5*j = v*j - 20. Suppose -3*q + 287 = 5*y, 6*y = j*y - 2*q + 118. What is the remainder when y is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = h - c, 2*c - 3*c = 3. Let l be (3\/(-6))\/(2\/(-16)). Solve l*n = -h*n - 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121558000 rounded to the nearest 1000000?\nAnswer: -1122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of 2*y**3\/21 - 4*y**2\/7 - 10*y\/7 - 68. Let f(x) = 0. What is x?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22301 (base 5) in base 2?\nAnswer: 11000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28936 + 28936. Let q(u) be the first derivative of 0*u**3 + h*u - 4*u**2 + 39\/4*u**4 - 26. What is the second derivative of q(o) wrt o?\nAnswer: 234*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 4*w - 10. Let n = 5 + -2. Let f be (n\/4)\/(2\/(-24)). What is the remainder when x(f) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*b - 10 = 0, -35*d + 2*b - 3 + 8 = -38*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h**2 - 11*h**2 + 4*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/21669 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - -2) + 5 + -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(450)*-1)\/sqrt(10)*3*2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 177326*b*n**2 + 21*b*n - 96432852*b + 2*n wrt n?\nAnswer: 354652*b*n + 21*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -37524.47 to the nearest 10.\nAnswer: -37520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5951946 and 25791766.\nAnswer: 77375298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-1*-1*8\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51*u**6 - 1 - 40*u**6 + 41*u**6 + 29*u**2 + 21*u**6 + 91*u**2 wrt u.\nAnswer: 8760*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -13. Let c = -10 + 14. What is the first derivative of 4 - 11*t**4 + 9*t**c + f wrt t?\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -u + 198, 4*u + n = 4*n + 747. What is the second derivative of 63*g**3 - 187*g + 9 + 6 + u*g wrt g?\nAnswer: 378*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10 + -1)*(-7)\/21. Let k be (-6 + 3)*(-2)\/m. Is 22 a factor of (36\/(-45))\/(k\/150)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1933.504 + 16124\nAnswer: 18057.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83950.23 millennia to decades.\nAnswer: 8395023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91149 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3\/5, -1.82?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2140 and 1498?\nAnswer: 14980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.2 - 8. Let l be (2 + 0)*(-2)\/4. What is the nearest to l in 0.4, u, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 1.26 (b) 162 (c) 4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117708*b**2*v**3 + 308*b**2*v - 2*b**2 + 3*b*v**3 - 6*v**2 - 3258*v wrt v?\nAnswer: 706248*b**2*v + 18*b*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2048994524 and 0.279.\nAnswer: -2048994523.721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -278, -433, -608, -809, -1042?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1307 - 17*g**2 + 14*g**2 - g + 4*g**4 + 2*g**3 - 1327 - 2*g**4 to the form v*g**4 + n + a*g**3 + i*g + y*g**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 5*l - 2*l)*(-3*l + 12*l - 2*l) + 0*l**2 - 3*l**2 + 6*l**2 + (l - 2*l - l)*(15 - 4*l - 15) to c*l + p + m*l**2 and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3422, -3378, -3308, -3212, -3090, -2942, -2768?\n\"Answer: 13*y**2 + 5*y - 3440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4 + 16. Let x(l) = 2*l**2 + 7*l + 4. Let c be x(v). Is (20\/c)\/((-1)\/(-14)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 932723934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/120 and 31\/93165?\nAnswer: 745320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2 + 24*m + 27 = 0.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + 15)\/(2*(-21)\/(-56)). Solve 5*i - q = -0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 11538*t - 6960*t**2 - 11538*t.\nAnswer: -6960*t**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*l = 18, -5*l - 12 - 13 = 0. Suppose 75 = 4*a + k, 3*a - n*k + 34 = 5*a. Let g = -12 + a. What is the greatest common divisor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83937*v**4 + 3*v**3 + 2431085*v**2.\nAnswer: -2014488*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in nine tenths of a millennium?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -2*x + 6, x - 2*y + 10 = 3*y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -10*t**2\/9 + 94*t\/3 - 272\/9 = 0.\nAnswer: 1, 136\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*i = -3*i + 27, s = -3*i + 14. Let b(h) = h**3 - 14*h**2 - 7*h - 32. Let v be b(15). Calculate the greatest common factor of s and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 2, 0, 4 in increasing order.\nAnswer: -284, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1\/5, -6, 0, -3, -0.2, 8\/3 in increasing order.\nAnswer: -15, -6, -3, -0.2, 0, 1\/5, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -28*d + 537. Give c(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, a: 1, f: 2, l: 2, n: 1}. What is prob of picking 2 l and 1 m?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-15)*507\/(-2197).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -31353 to the nearest one thousand.\nAnswer: -31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 20*f - 16. Suppose -3*b + 5*b + 58 = 0. Let j = 13 + b. What are the prime factors of p(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 17b (base 12) to base 13\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5672 + -5595 - (52 - -1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -20. Suppose 4*z = 5 + 11. Let a be 0\/1 + z\/(-2). Which is smaller: o or a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -89 - -113. Suppose -29*i + s*i = -15. Let n(l) = 5*l**2 + 3*l. Let b(v) = -10*v**2 - 5*v. What is i*b(z) + 5*n(z)?\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20407\/65 - -1569\/5. Put a, 1, 1\/19 in descending order.\nAnswer: 1, 1\/19, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18 in -1\/2, 18, -11?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 44. Suppose 3*d + 20 = 5, -2*q + 36 = -x*d. Let v be (-6)\/q*40\/(-5). Solve -v*g + g = 25 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.86 + -4.56. Which is the second smallest value? (a) 2 (b) 10 (c) -2\/13 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2. Let y(b) be the second derivative of -b**2\/2 + b. Let u(v) = 2*v - 5. Let q(g) = -u(g) + 5*y(g). Calculate o(q(z)).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*l**3 - 56 + 56 + 44*l**3.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 12 = -4*w. Let r be (-1 + (-3)\/(-2))\/((-2)\/(-276)). Suppose -w*q + u + r = 0, 2*u = 6*u - 12. Calculate the greatest common divisor of q and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -3, -703\/299, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 99077907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (9 + 14\/(-2)). Let w(q) = 2*q**3 + 4*q**2 + 4*q. Let m(a) = a**3 + 3*a**2 + 3*a. Give d*w(v) + 4*m(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 90*r - 98*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 539 and 8955583.\nAnswer: 98511413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - -29. What is the highest common factor of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -296269, -1185084, -2666441, -4740340, -7406781, -10665764?\n\"Answer: -296271*w**2 - 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70540681*q**3 + 341*q**2 + 35*q - 14 wrt q?\nAnswer: -423244086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**2 - 8*s + 1461 - 2919 - 8*s**2 + 1448 - 2*s**2 to the form o + a*s + z*s**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 22188*l - 61538418.\nAnswer: -2*(l - 5547)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x + 7. Let s be (3*1)\/(10\/(-20)). Calculate t(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 4*a - 10, 7*c = 3*c + a + 6. Let g be (-11)\/((-220)\/8) - c\/5. Let y be (40\/12)\/((-6)\/(-9)). Solve -z + g*z = -y for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (-25)\/(-20) + 315\/(-252)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -169 + 37 - 7*d + 37 + 32 + 25 + 36. Suppose -b = -2*m + 5, -2*m + 0*m + 4*b = 10. Determine q(m).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 1:37 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 54*g**2 - g + 8. Let r be 8\/(-32) + 0 + 13\/4. Is n(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 879248 to the power of 1\/4, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.655454 rounded to 1 dp?\nAnswer: -13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + -0.06. Let i = -0.129936 - a. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(612) + 2) + -1*sqrt(612) + -4)**2*-4 + -4.\nAnswer: -88916 - 4032*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-42)\/(-98) + (-11)\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266620?\nAnswer: 2, 5, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (10 + 117\/18).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(117) + -3 + -4 + (sqrt(117) + sqrt(117) + (sqrt(117) - ((sqrt(117)*4 - sqrt(117)) + 1) - sqrt(117) - sqrt(117)) - sqrt(117))**2.\nAnswer: 21*sqrt(13) + 1047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + 0 - sqrt(12)) + sqrt(12) - sqrt(12))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 26 = 5*b - 0, 0 = -5*b - 2*d + 16. Calculate the smallest common multiple of 10 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 3*c**2 - 73*c + 4. Give i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 4*b - 26. Let s(x) be the first derivative of -x**3\/3 - 5*x**2\/2 - 27*x - 4. Let q(f) = 2*k(f) - 3*s(f). List the prime factors of q(-8).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6c4 (base 14) to base 3\nAnswer: 1211221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-13)*(10 - (3 - -3)). Let c = f + 5519\/1248. Find the common denominator of 37\/144 and c.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 833961631 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -25360903858.88?\nAnswer: 25360903858.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 17*o**3 - 27*o**2 - 2 + 27*o**2 as q + a*o**3 + s*o**2 + m*o and give s.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63 + -4 + (3 - 4) + 18 + 7.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m + 194. Calculate s(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + 2*x + 644 = 0, 2*x + 1290 = 4*b. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 3:06 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/50 or 278?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130144977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - u**2 - 3*u + 2. Give z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -498 = -17*c + 16*c + 2*y, c = y + 501. Is c a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 16. Suppose -3*h = 63 - o. Let y = -7 - h. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*k + 340*k = 33*k - 33810 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 822974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1038 and 30621.\nAnswer: 61242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**5*a\/(a*a*a**(2\/3)*a)*((a*a*a*a**(-6)*a)\/a)\/(a*a\/a**(-1\/10)))\/(a\/(a\/a**13)*a**(7\/4)\/a)**(4\/13) assuming a is positive.\nAnswer: a**(-2729\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244063 is divided by 61011?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/2 - 0)*-6. Let t(h) be the third derivative of h**4\/24 + h**3\/6 + h**2. What is the units digit of t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7685655\/368 - 20885. Let n = 3\/23 + g. Which is bigger: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44046*i**3 + 3*i**2 - 61049*i - 17?\nAnswer: -264276*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z**2 - 87*z + 452. Let n be y(5). Suppose -2*i - 59 = 9. Which is smaller: n or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + l - 9. Let k be o(0). Let x(s) = -s**2 - 10*s - 13. Let c be x(k). What is the closest to -1 in c, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myyyyxxxtxaxnyxm. What is prob of sequence xm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-3) + (-370)\/(-15). Suppose -4*f + r = -0*f. Suppose -f = -m - 4. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 36, 34, 30, 24, 16?\n\"Answer: -g**2 + g + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3\/2*f**4 + 45 - 39\/2*f**3 - 93\/2*f**2 + 39\/2*f = 0.\nAnswer: -2, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y + 10*y + 21*y + y - y + y + (0 - 1 + 2)*(-4*y + y + y) to g + h*y and give h.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1745)\/(-4) + 4\/(-16). Let r be (459\/18)\/((-2)\/(-4)). Let g = a + r. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978232.2 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 11}. What is prob of sequence xx?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 0.3 (c) 0.68 (d) -4\/3 (e) -58.3 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 51171 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m + 1, -3*t + 4 = -2*m. Suppose 0 = -n - t*n + 2. Suppose 0 = -z + 2*q + 101 - 20, -263 = -3*z + n*q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*c + 9, 0*k + 2*c = 3*k - 17. Let i be (4 - k)*0*3\/6. Solve -2*g + 4*o = i, -2*g - 2*o - o - 7 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 6, e: 1, x: 1, s: 1, b: 3}. What is prob of sequence es?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i + 28, a - 26*i + 19 = -28*i - 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 545100001\/(-6) - 3\/(-18). What is p rounded to the nearest 1000000?\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.1 (b) 1\/5 (c) -2 (d) 5\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 35. Let q(v) be the second derivative of v**4\/12 + 13*v**3\/6 + 15*v**2\/2 - 2*v. Let z be q(i). Solve 4*s + z*t = -1 - 14, 5*t + 25 = -5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, y: 1, b: 1, o: 1, j: 1}. Give prob of sequence rjy.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s + 2*s**2 - 220 + 220)*(6*s + 2 - 4*s + 2*s).\nAnswer: 8*s**3 + 24*s**2 + 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -292 and -14141738557.\nAnswer: -14141738849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 7*d**4\/4 + 7*d**2\/2 + 134*d + 89. What is the first derivative of j(x) wrt x?\nAnswer: 21*x**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**3 - 5*k**2 - 5*k + 47. Let o(i) = 6*i**3 + 4*i**2 + 4*i - 47. Calculate 4*l(x) + 5*o(x).\nAnswer: -2*x**3 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -11131220 (base 4) in base 13?\nAnswer: -a253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 242 + 14?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23581, 23574, 23567?\nAnswer: 23560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -6. Let u be (1 + -2)*(38 - 35). Put u, l, 2 in ascending order.\nAnswer: l, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18 - (1004\/(-2761) - (-3140)\/(-198)). Solve -15*g + j*g = -10*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56352569?\nAnswer: 7, 13, 17, 73, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 2*l**2 + 15*l. Let o be v(-3). Is 30 a factor of o\/21*(-9 - 26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbrbdbbusbwbr. Give prob of picking 1 r and 1 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20\/(((-70)\/357)\/(-5))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*x**4 - 34*x**3 - 46*x**2 + 52*x**2 - 1 + 4 - 2*x - 11*x**4 in the form d*x**4 + k*x + s + r*x**2 + n*x**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -39*(-2 - 8\/(-3)). Let f = z + 17. Let i be 16\/9 + (-2)\/f. Solve 2*n + 2*l - i = 0, 4 + 11 = -5*l for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36614204 to the power of 1\/2, to the nearest integer?\nAnswer: 6051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 313150, 626297, 939444?\n\"Answer: 313147*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 + 0*h**2 - 3*h**2)*(188*h + 25*h + 416*h) to y*h**3 + x*h**2 + g*h + c and give y.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -2, -22, 5 in increasing order.\nAnswer: -22, -5, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*o**5 + 545*o**4 - 3*o**2 + 16*o - 93.\nAnswer: -80*o**3 + 6540*o**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**(-2\/9))\/(x*x**2))\/(x**6*x*x*(x\/(x\/(x*x\/(x\/(x\/(x*x**(-2\/25)))*x))))\/x))\/(((x**(-2\/9)*x*x)\/x)**8)**(-9) assuming x is positive.\nAnswer: x**(10507\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9 = 39. Let n(c) = 7*c**2 + 101*c - 54. Let z be n(-15). Is z <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 7094.\nAnswer: 1418.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137258675 divided by -5.\nAnswer: 27451735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together -594 and 74.\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 48\/5713?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1505 divide 393330557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -14*v**2 - 2*v - 2. Let j be t(-1). Is j < -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -247304 - -3?\nAnswer: -247301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19653 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -180509332.\nAnswer: 1\/180509332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 46610 smaller than 46600?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*m - 741, -286*v = -291*v - 2*m + 1200. Calculate the remainder when v is divided by 240.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11302 + -1028470\/91. Let r = 3391\/182 - p. Let a = r - 19. Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (34 + -6 - (11 - 11)) + 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1570977?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291058184?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4579 to one decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m. Let p be a(3). Let v be (1\/(-3))\/(3\/p). Let s be 58\/208 + (304\/52 - 6). Is s smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/2)\/((-610)\/7320)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 261147.3 months to millennia.\nAnswer: 21.762275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (72\/20)\/((-6)\/15). Let j be 6188\/(-26469) + (-2)\/n. Let v = j - 336\/865. What is the third smallest value in 0.4, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67527*h - 68179*h - 6432 - 18119 - 40649 = 0 for h.\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 5*n - 90. Calculate the remainder when 18 is divided by ((-12)\/n)\/((-4)\/(-42)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000061064 rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8258316 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/20 + 54834\/2220. Solve -c*x = 65 + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25 and 841?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 172 - 1628. Let o be y\/(-72) - (-4)\/(-18). Let x(z) = 2*z**3 + 1. Let i be x(1). Solve 0 = 2*m + 5*d - o, 2*d - 1 - i = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13387577 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*i - 2, -19 = -3*m - 5*i. Suppose -5*s = -m*x - 192, 136 = 4*s + x + x. What is the highest common divisor of s and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 42*p + p**2 - p**2 - 5*p**2 + 56876*p**3 - 6*p**2 - 56877*p**3.\nAnswer: -p*(p - 3)*(p + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*g - 32*g + 35*g + (-3 + 5 + 0)*(-2*g + g + 3*g).\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**3 + 4*t**2 - t - 49. Let f(u) = 5*u**3 - 3*u**2 + u + 50. Let m(n) = 4*d(n) + 5*f(n). What are the prime factors of m(0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 4\/(8\/6). Let u = 10 + x. Let r = u - -7. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92 or -100?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 15739, 15722, 15693, 15646, 15575?\n\"Answer: -h**3 - 10*h + 15750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -26. Suppose -5*a = -5*b + 100, h*a - 25 = -b - 2*b. Suppose -i - b = 4*i, -315 = -3*m - 4*i. Is m a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millimeter in micrometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3*sqrt(17) + -3.\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mh when two letters picked without replacement from mnhunuumnumhu.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 7*i**5\/5 + 73442*i**4 + 2779931*i**3\/5 + 1468628*i**2\/5 = 0.\nAnswer: -52451, -7, -4\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 19*y + y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 5*y - 1. Let k be j(4). Suppose 14*p - 529 = 745. Let l = p - 126. Put l, 0, 2, k in descending order.\nAnswer: k, 2, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26707 + -26492.204. What is f rounded to 0 dps?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -t - 17, 0 = -3*t - 3. Solve c*i = 4*f + 20 - 14, -4*i = 2*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, -1\/3, 105808?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 10*o - 6. Calculate q(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x**2 + 55*x + 134. Determine z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 28*h - 24*h**2 - 2*h**3 + 26*h**2 to the form l*h**2 + c*h**3 + n*h + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/55*18084\/7124.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*n + 896*n**2 + 0*n - 875*n**2 - 2*n to the form b*n + z*n**2 + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*(-11)\/((-363)\/638). Solve 3*t = s - 101 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 3*w**2 - 2*w + 4. Let t be b(3). Suppose 15*q - 4*q - 33 = 0. Suppose 0 = -m - 3*a + 12, 4 = 2*m + q*m + a. Do m and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 123367, 246727, 370087, 493447?\n\"Answer: 123360*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0*j + 1\/24*j**4 + 0 + 13\/6*j**3 - 4*j**2. Let b be t(-11). Solve 2*y = -b*a + 4*a - 16, -2*a + 25 = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6793082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 80\/(-14) - (-2)\/(-7). Let i = 11 + m. Let y = 880 - 840. Calculate the highest common divisor of y and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 4:50 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(98) + sqrt(98) + 0 + sqrt(98) + 5)**2 + sqrt(98)) + (sqrt(18)\/(sqrt(18)\/sqrt(2)) - (sqrt(2) - sqrt(100)\/sqrt(2))).\nAnswer: -5442 - 1297*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8.437 + 0.037. Let h = -1.1 - a. Let v = 7 - h. What is the third smallest value in -0.2, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -14*g - 34. Let n be k(-3). Let u(o) = o**2 - 6*o - 18. What is u(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 798873, 3195552, 7190017, 12782268, 19972305?\nAnswer: 28760128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6655569.\nAnswer: 3, 2218523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196779014?\nAnswer: 2, 9391, 10477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-4) - (-24)\/16. Let a = 2 + -4. Put a, 2, g in decreasing order.\nAnswer: 2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 7*z - 4. Let j(h) = -h - 19. Let u be j(-13). Let w be p(u). What is the first derivative of 0*y**2 + 0 + 3*y**w - 5 - y**2 wrt y?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2391.5 less than 9?\nAnswer: 2400.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0*t + 0*t)*(57 - 629 + 126 - 342).\nAnswer: 1576*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 13*f**2 - f + 1. What is v(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 2. Let i(z) = -z**2 + 2. Let o be i(-2). Suppose 5 = 4*j + j. Let c be o + (1 + 5)*j. Give p(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of 52*z**3\/3 - 1185. Let h(i) = -3*i - 17. Determine a(h(o)).\nAnswer: 468*o**2 + 5304*o + 15028","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -5, -2\/9, -9.49?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 + 48. Calculate the common denominator of ((-440)\/(-1694))\/(g\/(-7)) and -13\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2217.5 + -3?\nAnswer: 2214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x*x*x**(-3\/4))\/x))\/(x**(2\/53)\/x)*(x**(2\/13)*x*x*x*x*x)\/x**8 assuming x is positive.\nAnswer: x**(-369\/2756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 72. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 0*n**2 + n**2 + 140654*n**3.\nAnswer: 140654*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4508, -14, 194 in decreasing order.\nAnswer: 4508, 194, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -5 (b) 0.24 (c) -0.3 (d) -25 (e) -0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 - -2.3. What is the biggest value in 0.02, r, -1\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of n**4 + 67*n**3\/6 + n**2 - 377*n. Find the second derivative of h(l) wrt l.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -523, 328, 1987, 4724, 8809, 14512, 22103?\nAnswer: 31852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 67 = 7. What is the remainder when (-2)\/(-6) - (32\/(-12) + -1) is divided by (-1)\/(-2) - (-18)\/v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 - 62. Let g = f + -84. Let c = 284 + -282. Sort 3\/7, c, 13, g in decreasing order.\nAnswer: 13, c, 3\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10011, 10036, 10095, 10200, 10363, 10596?\n\"Answer: 2*u**3 + 5*u**2 - 4*u + 10008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -4*x + 2, 66*y - 5*x + 412 = -x + 70 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - 87\/(-6))\/((-1)\/(-2)) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evqenehqdddqdhh. Give prob of sequence dqq.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25501*v + 59*v**2 + 13011*v + 12490*v.\nAnswer: 59*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/155 (b) 2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)\/((sqrt(5) - sqrt(20)\/sqrt(4)) + sqrt(5)) - sqrt(4114)*3)\/((sqrt(36)\/sqrt(3)*6)\/(sqrt(96) - (1*sqrt(96) + sqrt(96)))))**2.\nAnswer: 69632\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -162 by -79.\nAnswer: 162\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 402319964?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 45a1139?\nAnswer: 45a113a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -428032 or -428034?\nAnswer: -428032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b - 3. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043012 rounded to 7 decimal places?\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 4*r - 3*r)*(3 - r**2 - 3) - 4*r**3 + 14 - 14.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/153)\/(-7)*((-26)\/(-6) + 56\/(-42)).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -58?\nAnswer: -5\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 45 = -8*q. Suppose -174*a - 81 = -80*a - 121*a. Solve -a*k = -0*k + q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-3\/4)\/o**(1\/3))\/((o*o*o**(-1\/2))\/o**(-2\/11)))\/(((o*o**(-1\/3)*o)\/o)\/(o**(-2\/5)*o))**(-44) assuming o is positive.\nAnswer: o**(37\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.32 + -0.72. Which is the closest to 2? (a) 2 (b) 2\/11 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 2:39 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 84. Calculate the remainder when i is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:48 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -7*z**3 + 5*z**2 + 91*z + 423. Let c be u(-5). What is the greatest common factor of c and 605?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7804 is divided by 65.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*l - 4*n, -4*n - 8 - 4 = -4*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3466\/5, -39 in decreasing order.\nAnswer: 4, -39, -3466\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -51590.13 rounded to the nearest ten?\nAnswer: -51590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 883*-91\nAnswer: -80353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 9 = 0. Let f be i\/6 + 2\/4. Suppose -2*v = 0, 0 = 2*c - f*v - 2*v - 4. Is c bigger than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500)*1 - sqrt(3500) - sqrt(140)*-2)\/(-2*(1*sqrt(20) + sqrt(20))).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0. Let m be (-185)\/15 + 5 + 3 + 5. What is the closest to o in m, 0.01, 1\/7?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t - 321 + 179 + 280. What is the hundreds digit of q(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 9*s - 68. Let y be q(14). Suppose -y*b = -3423 - 115. List the prime factors of b.\nAnswer: 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161221094.\nAnswer: 2, 80610547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2150582*d**2 + 5415540.\nAnswer: 4301164*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 4*h**2 + 2*h - 1. Let o be b(3). Let m be (o\/6 - -1)*2. Let w = 19 + -14. What is the second smallest value in m, -1, w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -83. Let q = -0.74 + -0.16. Let y = q - -1. Put y, -3\/8, k in increasing order.\nAnswer: k, -3\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6640 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 - 16. Suppose -15*i + 10*i - 10 = p. Is (-388)\/(-3) + i\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g**2 + 5 + 1 - 9 in the form c + u*g + v*g**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018549304 to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 116?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h - 15*h + 400. Let v(m) = -12 + m**3 + 3 - 25*m**2 + 6*m + h*m**2. What is v(8)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5752941 - 1\nAnswer: -0.4247059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -441713 + 624596. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**3 + 76680*r**2 + 5540400*r + 99843840 = 0. What is r?\nAnswer: -36, 15408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 5*q + 17, -4*s + 5*q + 10 = -31. Suppose 79 - 275 = -s*l. What are the prime factors of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 78 = 2*x, -269*q + 268*q - x = 42 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 21804\/7 (b) 3\/7 (c) 5 (d) -10\/13 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = -0*b + 135. Solve 2 = t, 3*q - 4*t = 2*q - b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/414 and -9\/102718.\nAnswer: 924462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(60)\/(sqrt(12)*1) + sqrt(40)\/sqrt(8) + 2 + 3.\nAnswer: 2*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y - 1. Let d(j) = 18*j - 2. Give 3*d(k) - 5*g(k).\nAnswer: 9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 715893 is divided by 122?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/17)\/l)\/l**6)**(1\/18)\/(l**(-6)*l*l**(3\/7))**(-4) assuming l is positive.\nAnswer: l**(-4443\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.321 times 181?\nAnswer: -58.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lch when three letters picked without replacement from {s: 1, l: 2, h: 1, e: 1, o: 1, c: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-102)\/357)\/(4\/(-574)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -3*r - 2. Let f(h) = 1089*h**2. Determine f(u(q)).\nAnswer: 9801*q**2 + 13068*q + 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -74*o + 220. Let k be n(3). Suppose 5*x + s - 16 = -0*s, -6 = -x - 3*s. Put k, -26, 4, x in increasing order.\nAnswer: -26, k, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1070324043?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**5 - 14*s**5 + 21*s**5 + (2*s + 0 + 0)*(5*s**2 - 2*s**4 - 5*s**2) + (-3*s + 0*s + s)*(0*s**4 - 3*s**4 + s**4).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2809 and -17\/53.\nAnswer: 2809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-5 - 2) + 2 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bdea (base 16) to base 7.\nAnswer: -261513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + -22. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19*o**3 + 3*o**4 + 2*o**2 - 3455 + 2051 + 10*o**3 + 1725 wrt o.\nAnswer: 72*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -926, -1620, -2312, -3002, -3690?\n\"Answer: k**2 - 697*k - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22755 + -0.29755. Which is the closest to -1\/3? (a) y (b) -3\/7 (c) 1\/7 (d) 96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:50 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 47*k - 1209 = -49*k, a = -k + 240. Calculate the greatest common factor of a and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 24 = 5*n, 12*n - 11*n - 4*y = -12. Suppose -n*b = -5*b + 493. List the prime factors of b.\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p**3\/8 - 59*p**2\/4 - 485*p\/8 - 183\/4 = 0. What is p?\nAnswer: -3, -1, 122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 230430169 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7326 + 35*s**3 + 7326.\nAnswer: 35*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1696 = 4*i - 0*i, 0 = -4*i + k + 1693. Let y = i - 239. Let g = -51 + y. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1064767\/1265640 + 4\/10547. Find the common denominator of 85\/48 and k.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 = 5*r. Suppose -4*x = -5*u - 6, 3*x + u - 16 = -u. Let y(h) = h**2 - 16*h - 50. Let i be y(19). Solve r*l - i*l = -x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 111*b + 1003. Let s be o(-9). Let f(z) = 8*z**2 - z - 12. What is f(s)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 102264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 13\/4. Let o(h) = -14*h + 6. Let t be o(y). Calculate the greatest common divisor of t and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -i + 9, -150*b + 139*b + 19 = 2*i for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, t: 1, y: 2, i: 1, c: 1}. Give prob of sequence nsy.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1 + 3) - 1. Let r = -2 - -4. Let x = r - -2. Sort x, s, 2.\nAnswer: s, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 132*a + 19 = 20 - 13, 0 = 5*l - 3*a - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 - 2656*o + 15954. Calculate b(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 131*s**2 + 10*s - 20. What is the ten thousands digit of o(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 + (12 - 5) + -3 - -18?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + m**2 + 16*m - 1. Let h be p(4). Suppose 4*a = d - 16, 3*d - 6*d + 3*a + 21 = 0. Solve 3*q - h = -d*v, -v + 12 = 4*v - 3*q for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/4))**42*(d\/d**(2\/9)*d*d)**(8\/11)*((d\/d**(-2))\/d)**(-36)*(d**(-1))**(-10\/9) assuming d is positive.\nAnswer: d**(-3241\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*v**3 + 40*v**3 - 85*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -58161542 * -0.4\nAnswer: 23264616.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -1\/2, -5, 4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-1)\/((-47)\/((-752)\/320)))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/132 and 37\/1224?\nAnswer: 13464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -522 + 519. Let v(o) = o**2 + 5*o + 4. Let b(f) = -f**2 + f + 2. Let x(h) = z*b(h) - v(h). Find k, given that x(k) = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1232511595.\nAnswer: 5, 7, 137, 401, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9534 + -9398. Calculate the highest common divisor of 4607 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -101 in -4, -1, -2, 27\/5, -12\/31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1888 and 37524?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.610768 tonnes in milligrams?\nAnswer: 8610768000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -900\/5419 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 12231424?\nAnswer: 12231433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by 95?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 15. Let v be l(6). Let o be (18\/(-45))\/(v\/((-30)\/8)). Let y = -0.1 - -0.3. Is o at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3066361552 - 5?\nAnswer: -3066361560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 34*h + 509. Determine j(46).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 6*k**2 - k - 4. Let v be p(-6). Suppose v*w + 1 - 3 = 0. Suppose -w + 25 = 3*o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 721 = 737. Let m(s) = -3*s**2 + s - 8. Let f(z) = z**2. Determine a*m(j) - 2*f(j).\nAnswer: j**2 - j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 462.45+-2145486.437\nAnswer: -2145023.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Suppose -4*q + 12 + a = 0. Suppose -4*y - 27200010 = -2*u, q*y + 2*u - 13600010 = 5*y. What is y rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*h = 14, -h = -5*w - 4*h + 104. Let n(z) = z**2 + 8*z + 5. Let i be n(7). Calculate the greatest common factor of w and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -24. Let v = x - -2. What is the second biggest value in v, 4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 565895624?\nAnswer: 2, 7, 1231, 8209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*f**2 - 328*c**3*f*i - 2*c**2*f**2*i + 2*f**2*i + 2*f + 29*i wrt c.\nAnswer: 12*f**2 - 1968*f*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 - 6*q + 10. Let b be c(4). Let o be 6 + (0 - 2) + b. What is the greatest common factor of 48 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10501 not equal to -17569?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 146053 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-0.167.\nAnswer: 0.501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 364558 + -137391. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of b**4\/6 + 29*b**3 - 658*b**2 + 2473*b. Solve r(a) = 0.\nAnswer: -94, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*y - 15*y - 97*y)*(-446*y**4 - 8 - 7*y + 430*y**4 + 6).\nAnswer: 1376*y**5 + 602*y**2 + 172*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/4)\/3*13\/(-364)*-4. Let n = -21 - -35. Let w be ((-1)\/3)\/(n\/(-12)). Sort p, 0.3, -0.2, w in descending order.\nAnswer: 0.3, w, p, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*k - 3)*(-75*k - 17*k - 124*k - 51*k).\nAnswer: -534*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -690, -1426, -2162, -2898, -3634?\n\"Answer: -736*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from ocoocoo.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1409639*q + 4448480 wrt q.\nAnswer: -1409639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 819992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 142*j - 4 - 12*j**2 - 8*j**2 + 19*j**2 to q*j**2 + n*j + z and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(1584) + -1)*5.\nAnswer: -30 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*y - 25. Solve -k = -0 + y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 8. Let w = 104 + -120. Let u(s) = -2*s**3 - 31*s**2 + 21*s + 82. Let v be u(w). Solve 34 = -3*a - 5*m, a = -3*m + r*m + v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 489846 and 10682?\nAnswer: 3428922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-27)\/o*o)\/o**(-13) assuming o is positive.\nAnswer: o**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22972 is divided by 2075.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 1:15 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25134, 50739, 76344?\nAnswer: 101949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30\/37 - -2278\/2627. Let i = p - -272\/213. What is the closest to 1 in i, -0.3, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + -5 + (sqrt(475) - (sqrt(475) - (sqrt(475) + -1 - sqrt(475)))*5 - sqrt(475) - 6*(-1 + sqrt(475)))))**2.\nAnswer: 2200*sqrt(19) + 230000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96234.\nAnswer: 2, 3, 43, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 2:38 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 3*q + 29. Let m = q + 11. Calculate the greatest common divisor of m and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p**3 + 12*p**2 - 11*p + 13. Calculate h(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -49*n**2 - 56*n - 24. Let u(q) = -48*q**2 - 57*q - 23. Let b be 1230\/(-42) - (-4)\/14. Let y = -25 - b. Let g(k) = y*u(k) - 3*o(k). Factor g(v).\nAnswer: -5*(3*v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2145*c**2 - 939*c**2 - 912*c**2.\nAnswer: 294*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*y - 42*y - 3*w = -6, -3*y + 2*w = -1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 650, 692, 760, 860, 998?\nAnswer: 1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 16*z + 5. Let y be 1 + 4\/(-4) - 3. Let r(j) = -32*j - 10. Let w(u) = y*r(u) - 7*i(u). Is 24 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 9. Suppose 0 = y*f - 253 - 795. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 - 78352*q**2 - 767301130*q + 1534915684.\nAnswer: -2*(q - 2)*(q + 19589)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -19*n**3 + 15*n - 5*n**3 + 13*n wrt n?\nAnswer: -144*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (0 - 2 - (9 + -5))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3033 and 10784.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 59.8. Let k = 10 + d. Are -2\/11 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3094)\/(-65) - (-2)\/5. Suppose 0 = 2*s + 2*s - m. Solve 4*x - x = s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 28641*n - 28638.\nAnswer: -3*(n + 1)*(n + 9546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.099 in -0.9, -0.1, 3, 3\/8, 0.04, -109?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 8*s + 7. Let v be k(-7). Suppose v*g + 30 = 2*g. Let m = 14 + g. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t - 3. Let b(c) be the third derivative of -c**4\/24 + c**3\/6 + 36*c**2. Suppose -w - 4*w = -20. What is w*u(g) + 11*b(g)?\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12274\/3*v - 1156 - 1432\/9*v**2 - 14\/9*v**3 = 0. Calculate v.\nAnswer: -51, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 22\/42383959 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1010 a factor of 400204420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-2)*4\/165. Let h = r + 146\/495. Suppose 2*c + c = m - 4, 0 = -4*m - c + 3. What is the biggest value in h, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78145551?\nAnswer: 3, 11, 73, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**3 - 3*o**3 - 1 - 3.\nAnswer: -29*o**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -252 + -64?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -2*y - 3 + 6, -9 = -2*y + 3*i for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*h - 64654*h**2 - 3853 + 64689*h**2 + 5*h wrt h.\nAnswer: 70*h - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15309, 61231, 137769, 244923, 382693, 551079, 750081?\n\"Answer: 15308*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*u - t + 67, 5*u + 3*t - 50 = 0. Let d = -1 + u. Suppose 16*k = 22*k - d. Calculate the lowest common multiple of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of 2*h**7\/21 - 4*h**6\/15 + h**5\/5 - 7*h. Factor a(l).\nAnswer: 4*l**3*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12969 + -8219. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiwiwqwwqqq. Give prob of sequence iq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 111014 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 9 = 0. Suppose -2*m - o = -35. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/472 - -3183\/33512. Is 1 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 682 + 1214. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -249018, -248960, -248902?\n\"Answer: 58*r - 249076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4000\/9 - 444. Let a = -549\/2228 - 2\/557. What is the nearest to a in -1\/3, k, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*p**3 + 3437*p**2 - 10*p + 711314 wrt p.\nAnswer: 27*p**2 + 6874*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e05 (base 15) to base 5.\nAnswer: -100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -5*x**3\/3 - 15*x**2\/2 - 10*x + 3. Solve i(v) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13044.\nAnswer: 2, 3, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 904 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -29, -0.3, -1\/8, -0.4, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149 and 7897?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/703, 21, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9198 and 876.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(-5 + (-217)\/(-42))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((16\/228)\/2)\/(25\/(-120) + (-69)\/552)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 162.728632*0.5\nAnswer: 81.364316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/8)\/((-1)\/(-644)). Let f be 16\/(-24)*9 + c. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1840, 1825, 1810, 1795, 1780, 1765?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3396468 divided by 1132156.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4065, 3\/22, -1?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -207984, -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -128 divided by -32.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9358968 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*k, 0*y + k = -2*y. Let a be 3 + (y - 6) + 1*5. Suppose 36 = -a*s - 7*s. What is the smallest value in -0.5, -5, s, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 609330.422 to the nearest one hundred.\nAnswer: 609300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -2\/7 (c) 18.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022973 rounded to 5 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 - 53e4?\nAnswer: -53f6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -2. Suppose 6*l - r*l = 708. Let o = -882\/5 + l. Which is the biggest value? (a) o (b) 8 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = 8*y + 236, -40*k - 171 = -44*k - 2*y + 7*y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + j**3\/6 + 2*j**2 - 290*j. Let o(q) = 3*q**2 - 3*q - 9. Determine 5*b(k) + 2*o(k).\nAnswer: k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1838)\/4)\/(13\/(-26)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 0.84 (c) 1700\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -12*z + 13*z + 8, 3*z = -3*q + 12. Let m(o) be the third derivative of -1\/420*o**5 + 0*o + 0*o**3 - 1\/168*o**4 + 0 + 13*o**q. Factor m(k).\nAnswer: -k*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 5)*(630\/(-42) + (-378)\/(-24)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-2)*(5 - (-339)\/(-9)). Let l be g\/14 - ((-1)\/(-2) + -2). Which is the third smallest value? (a) l (b) -0.2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -187281*g + 1685546. Calculate y(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 2*r**2 - 18*r - 3. Calculate the remainder when 162 is divided by n(6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 0.12, 4, -17?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11697*f**6 + 22405*f**2 wrt f.\nAnswer: -1403640*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 2. Let f be n(-3). Is f >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(5 - 5 - 4*a) + 6 - 9 + 6*a - 3*a - 3*a + 4*a - 3*a to the form x + p*a and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or 209.7?\nAnswer: 209.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**3\/9 + 3710*t**2\/9 + 1862*t + 1864 = 0.\nAnswer: -3, -3\/2, 932","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2587537*b**2 + 1 - 2587535*b**2 - 3*b - 1 + 3*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204323787 to the power of 1\/2, to the nearest integer?\nAnswer: 14294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 84 = 7*t. Does 14 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.598059 + -0.77611. Let z = h + 0.038016. Let m = z + 0.14. Round m to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i\/((i*i**(-3\/10))\/i)*i)\/i)\/i**(-7))**(-42))**(-26) assuming i is positive.\nAnswer: i**(50778\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 35 - 0*5\/(-20).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 a factor of 101620000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 225, 227, 229, 231?\n\"Answer: 2*n + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0319, 5, -1\/5 in ascending order.\nAnswer: -1\/5, 0.0319, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -178 + 181. Solve 0 = -d*b - 12 - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrpprrrrpprrprrrrrrr. What is prob of picking 3 r?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.589 rounded to 0 dps?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3*r + 5*r - 10 = 0, -2*v = -5*r + 4. Let t = 125 + -121. Suppose -v*k + t = -11. Solve -40 = -3*w + k*q, -w + 8 + 12 = -3*q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h + 2*h + 2*h)*(0*h + 0*h + h) + 9*h - 6*h**2 - 9*h - 2*h**2 + 385 + 2*h - 495 + h in the form m*h + l + k*h**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -u + 2*u + 7, -d = 4*u + 17. Let s = -43 + 43.2. What is the closest to 1 in s, u, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 + 3. Let k(i) = 5*i. Let x be k(1). Let j(h) = 4*h**2 - 1 + 3*h**2 + 4. Let p(q) = x*j(q) - 4*l(q). Differentiate p(a) wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 264 = j. Let s = 48 + j. Calculate the greatest common factor of s and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - 9\/((-3)\/1). Suppose 3*r = i*a - 0*r - 41, 0 = 4*a + 4*r - 92. Suppose 10 = v + 3*w, -18 - a = -4*v + w. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**2 + 336526*r + 9087660 = 0. What is r?\nAnswer: -27, 168290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1\/11, -10, -4, 0.2, 0.4031, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -166*c. Let m be u(6). Let z = m + 2791. Suppose -59*i + z = -54*i. Round i to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-208)\/40 - -4)\/(4\/(-50)). Let k be z - (24\/(-4) - -4 - 3). Solve k = -5*m, -3*x + 17 + 6 = -2*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = 59*w - 98 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c + 3*c - 2*c + 6*c + 4 to o + t*c and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -3 + 35 - (-362 - -361).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*a - 35*a**3 + 104*a.\nAnswer: -35*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*a - 2855 + 2960 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + s**2 - 2)*(5599 - 2900 + 8136).\nAnswer: 10835*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.94, -0.2, -596, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 AM and 6:38 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 3*t. Let g(w) = -10*w**2 + 11*w - 6. Let f(j) = 8*j**2 - 8*j + 5. Let n(d) = 6*f(d) + 5*g(d). Determine -6*n(q) - 14*z(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (98 - 1) + (0 - 1) + (-638 - (-830 + 185))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 - 7*b - 74. Is f(-10) a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15230726?\nAnswer: 2, 7, 47, 79, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-15)*(-6)\/8.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllrlllrrllllr. Give prob of picking 2 r and 2 l.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -1. Let j(o) = -34*o - 1. Let g(r) = -39*r - 3. Let p(q) = 4*g(q) - 5*j(q). Give 28*f(s) - 4*p(s).\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 2*z**3 - 3*z**3)*(0*z**2 + 3*z**2 + 0*z**2) + 2*z - 58*z**5 + 49726 - 49726.\nAnswer: -64*z**5 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(24)\/sqrt(2) - ((2*sqrt(144) + sqrt(144))\/sqrt(12) + sqrt(12)))\/(sqrt(48)\/(sqrt(8)*-3*1)).\nAnswer: 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 442418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -374837, -374829, -374821?\n\"Answer: 8*s - 374845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*x**6 + 30*x**4 - 59210*x**2 wrt x?\nAnswer: -8760*x**3 + 720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 6*g**2 - g - 2. Let s be q(-3). Let y = s + -30. Solve 0 = -0*h - 5*h + y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7)\/((-42)\/348) - 5. Suppose 0 = -o*j + 3292 + 2273. What is the remainder when j is divided by 56?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61197868 to the power of 1\/3, to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 5 + -10 + -4 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19507391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15 = -15. Solve i - 4 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -p*w**3 - 269*p*w**2 - 135*w**5 - 4 wrt w?\nAnswer: -6*p - 8100*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f**3 - f**2 + f. Let g(b) = -b**3 - 5*b**2 - 4*b + 1. Let j be g(-4). What is s(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -5*b - 590, 22*b - 26*b + 608 = 3*a. What is the highest common factor of a and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 64 in -20, 21, 5, 0, -4, -6\/7?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -0.3, -3, -6, -8148, 7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -111, -1.34, -27?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*v**2 + 157*v**2 + 3287*v**2.\nAnswer: 3141*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -436099\/105927 - 1501\/527. Let n = -20\/67 - b. What is the common denominator of n and -85\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 13. Solve 0 = 5*l - 2 - r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 5*j + 5828, 4*q + 3*j = 8*q + 7756. Let m = q - -3767. Let b = 5444\/3 - m. Calculate the common denominator of -6\/11 and b.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (-3)\/((-34)\/28 - -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-892)\/14 + 2\/(-7). Let v = -71 - u. Let b(l) = 2*l**2 + l - 15. What is the units digit of b(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 21. Suppose -z = -u - 3. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*0.9\nAnswer: 38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -9 - 3*n - 2 - 6. What is the remainder when 17 is divided by k(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*n + 13015 - 39565 = -2*n. Which is greater: -2292\/13 or n?\nAnswer: -2292\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6675693 is divided by 68?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8698 - 6*f + 5*f - 2*f - 4*f + 10*f.\nAnswer: 3*f + 8698","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2000) - sqrt(2000)*-1) + sqrt(20) + (sqrt(980) - (sqrt(980) - -2*sqrt(980)) - sqrt(980)))\/(sqrt(90)\/(sqrt(9) + sqrt(225)*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -6555124\nAnswer: -45885868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 1\/4 (c) -5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -1 + 6 - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -1) + 1 + -1. Let m = g - -9. Let r(y) = y**2 - 3*y. Determine r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 8*k - 165. Suppose 47*y - 57*y = -210. Let z be a(y). Solve -10 = 2*t, -z*t - 30 = 3*x - 0*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -113 + 116. Let q = -2\/9 + 0. What is the nearest to 0.05 in t, -5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 36*y + 18*y = -17*y + 99, 255 = -5*h + 5*y for h.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 27. Suppose 0 = -2*i - 2*i + 4*f + 20, -3*f = 0. Suppose 100 - 40 = -i*z + 2*j, j + 15 = -2*z. Is z < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 8*x**2 + 4)*(-3 - 1 + 0) + 4*x**2 - 5*x**2 + 3*x**2 as h*x + b + c*x**2 and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.1 times -12.84?\nAnswer: 52.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427 - -466. Let j(c) = -38*c - 2. Calculate the remainder when j(-2) is divided by y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -6. Let g(d) = -d**3 + 29*d + 10. Let q be g(-6). Let f be -8 - -13 - 256\/q. What is the fourth biggest value in f, 1, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20278 + 20278 + 237*f as m*f + l and give m.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(3\/8)\/u*u*u))\/(u**(-2\/17)\/u)*(u**7\/u)\/u**(-3))**(-20))**(-14) assuming u is positive.\nAnswer: u**(46375\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/9)\/(2\/3*1). Suppose 3*x - c*v = -6*v + 291, -4*x - 4*v = -384. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2. Let v(l) = 15*l - 259 + 259. Calculate a(v(t)).\nAnswer: -675*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-30) - (-5)\/(-15). Suppose -12 = -3*i - 9. Which is smaller: f or i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 13 = 1. Let l = g - -9. Find the second derivative of 2*h**3 - 3*h + h - 4*h**l + 5*h wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*j**5*v**2 + 85*j**4*v**2 - j**2*v**2 - 3669*v**2 wrt j.\nAnswer: 2100*j**2*v**2 + 2040*j*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 48883*i. Let g(m) = -48*m**2. Determine g(p(q)).\nAnswer: -114698289072*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -284*z**3 - 17 + 2*z + 1499*z**2 - 1958*z**2 + 17 wrt z.\nAnswer: -1704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134801 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -3*h, -3*q - 17 = -2*h - 57. Suppose -3*p - q = -d + 920, -4*p + 5*d - 1229 = 0. Let m = -147 - p. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n**(1\/6)*n))))\/(n*n**(-2\/5))*n**(-2\/3)\/n**(-8) assuming n is positive.\nAnswer: n**(197\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 17492 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7749 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -10, 1149, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1\/9, -11, -4, -55?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + -1)*-2 - (sqrt(208) + -1))*-6 - (5 + sqrt(52)\/sqrt(100))*-6)**2.\nAnswer: 4464*sqrt(13)\/5 + 453348\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j - 132. Suppose -4*o + 2*v = -j - 52, 54 = 3*o + 3*v. Suppose -o*b = -21*b - 15. What is the remainder when 28 is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4424120002 (base 5) to base 11.\nAnswer: -5466240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*w**2 + 0*w + 0*w)*(2*w - 2*w + w) + w**3 + 2*w**3 - w**3)*(0 + 0 + 2) as s*w**3 + l*w**2 + u + n*w and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 37813500*x - 71493039112500 = 0 for x.\nAnswer: -3781350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112237290*h + 151037117 wrt h?\nAnswer: -112237290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 86*l**2 - l - l.\nAnswer: -86*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21939 divided by -15497?\nAnswer: -21939\/15497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*r - f - 44, 0 = -4*r - 4*f + 36. Let t be (2\/6)\/((-2)\/(r + -3)). Let o(s) = 5*s + 23. Let x be o(-5). Is t smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 3:55 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 4, c: 6, d: 3}. What is prob of picking 1 y, 2 g, and 1 d?\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, u: 1, y: 4, z: 5, x: 5}. Give prob of picking 1 y and 2 x.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34691, -34689, -34685, -34679, -34671, -34661, -34649?\nAnswer: -34635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2676454 (base 11) in base 3?\nAnswer: -22200202001120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**2 + 10*u + u**2 + 12*u**3 - 10*u in the form j + b*u**3 + x*u + h*u**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (4 - 5) - 17\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 273*m - 274*m. Let z = 109 - m. Let a = 8 + 2. Calculate the smallest common multiple of z and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 6:10 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69053, 276280, 621669, 1105220?\nAnswer: 1726933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/20 + 5*z**4\/6 - 7*z**3\/6 + z**2\/2 + 30*z. Suppose 0 = 4*p - 11 - 25. Does 19 divide n(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -305.958?\nAnswer: -61.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 3*s + 113. Let f be m(-12). Let 0*d**2 + 0*d - 1\/6*d**3 - 1\/6*d**f + 0 + 1\/3*d**4 = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*c + c**2 + 252*c + 1855*c.\nAnswer: c**2 + 1861*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 16 + 6 = 5*f - 36, 0 = -4*f - 3*t + 53 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 681206 to the power of 1\/2, to the nearest integer?\nAnswer: 825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2649784160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = 8*a + 22. Suppose -15*j - 120 = -5*j. What is the common denominator of a and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -397, -2939, -10009, -23923, -46997?\n\"Answer: -386*d**3 + 52*d**2 + 4*d - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + 7*n - 2*n + (n + n - n)*(-1 - 4 + 6) + 2*n + n - 2*n to f*n + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/(-2 + 1). Let y(j) = 1 - 3*j - z - 3*j - 2*j**2. What is y(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-443)\/9 + 228\/1026. Put -6, 4, c, -5 in descending order.\nAnswer: 4, -5, -6, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/322055?\nAnswer: -3\/322055","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*a*v**4 + 15*a*v**3 - 17*a - 7*v**3 + 39*v**2 - 14 wrt v.\nAnswer: 72*a*v + 90*a - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290999113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2\/k**(-3))\/(k**(2\/5)*k**2))**(2\/147) assuming k is positive.\nAnswer: k**(26\/735)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 4*s + 10, 9*z + 5*s = 4*z + 15. Suppose -2 = z*b, u - 5*b + 310 = 4*u. Is u a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 8*x**2 - 3*x + 3. Let s(z) = -9*z**2 + 3*z - 4. What is 5*s(i) + 6*t(i)?\nAnswer: 3*i**2 - 3*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.76 - -0.24. Which is the fourth smallest value? (a) -1\/3 (b) s (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of 3*k + 0*k**2 + 0 - 1\/3*k**3. Let h(x) = -11*x**2. Determine s(h(g)).\nAnswer: 22*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + -8. Let b = 16 + y. Is 5 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1)**(4\/9)*(j\/j**(-1\/4)*j*j)\/(j**(-5\/3)*j) assuming j is positive.\nAnswer: j**(157\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 5*v + 10, 7*h - 6 = 2*h + 3*v. Solve -5*x - 4*g - 10 + 3 = h, 0 = 4*x - 3*g - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let b(p) = 6*p**2 + 136*p - 3. Calculate b(r(t)).\nAnswer: 6*t**2 - 136*t - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24, -68, -122, -192, -284?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12735 divided by 4245\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 38 = -14. Let b(o) = o**2 - 1. Determine b(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33994855 and -0.1.\nAnswer: -33994855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 356244, 356242, 356242, 356244, 356248?\nAnswer: 356254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 2*g + 1. Let d be 3\/2*2\/3. Let b be y(d). Solve 5 = -b*a + 1, 0 = 3*x + 4*a + 14 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -27. Sort z, 2\/9, -2\/5 in ascending order.\nAnswer: -2\/5, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**3 + 4*v**2 - 1169. Let s(c) = -2*c**3 - 6*c**2 + 1163. Calculate 2*s(j) + 3*w(j).\nAnswer: 2*j**3 - 1181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k - 22*k = 108 - 63 + 291 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-12)\/27*585\/24 and -29\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.1 - -3. Let s = -0.3 - -0.6. Which is the second smallest value? (a) x (b) s (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -391838*o + 1 - 1 + 391840*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1700 rounded to the nearest 100?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*o + 2760 - 1696 - 1337 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(2\/21)*(v**(-2\/15)*v*v)\/v)**(9\/2) assuming v is positive.\nAnswer: v**(279\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 2*b + 65. Solve b = g - 6*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 2, v: 4, s: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132989?\nAnswer: 132989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-190)\/(-7581)*7*6\/10?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(66\/(-12) + 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199493.22339545 take away -0.19?\nAnswer: 199493.41339545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -600489, -1200974, -1801469, -2401980, -3002513, -3603074?\n\"Answer: -v**3 + v**2 - 600481*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3628, 2773, 1350, -641, -3200, -6327?\n\"Answer: -284*f**2 - 3*f + 3915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1134068572 and -0.4?\nAnswer: 1134068571.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4198827, 8397679, 12596531, 16795383?\nAnswer: 20994235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 0.1, 11, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*z**4 + 9*z**4 - 167 - 23 - 82*z wrt z.\nAnswer: -8*z**3 - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 = d. Let p(n) = 6*n**2 + 2*n + 1. Determine p(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46168.89 and -442.\nAnswer: -46610.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -1231*f. Let y(g) = -g. Determine b(y(z)).\nAnswer: 1231*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -678 = 5*w + 1597. Let v = 863 + w. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3028*f**2 - 15111*f**2 + 3021*f**2 + 3013*f**2 + 3028*f**2 + 3023*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssts when four letters picked without replacement from {t: 15, s: 3}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhjhhdhhbhbhblbhbbb. What is prob of picking 1 l and 1 d?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012445394 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a factor of 1362968134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = m - 3*a - 24, 2*m = 5*a + 39. Suppose 17 = 44*g - m*g. Solve -3*k + 3*x - 9 = 0, -k - x + g = 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlljohmhmimm. Give prob of sequence hlo.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001101100010 - -1010100000011010?\nAnswer: 1000010010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 98*i - 178*i - 7 + 30*i + 46*i.\nAnswer: -4*i - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 c when four letters picked without replacement from {i: 1, c: 6, t: 10}?\nAnswer: 36\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2 + 9*j + 4. Let z(t) = t**2 + 5 + 11*t - 3*t**2 + 8*t**2 - 2*t. Determine -5*g(s) + 4*z(s).\nAnswer: -s**2 - 9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuruuruuuruu. What is prob of picking 3 u?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 73 - 91. Let y = 9 - i. Solve y = -3*h + k + 4, -4*h + 4*k - 14 = -7*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*p + 5*p + 4*g, 4*p - 38 = -3*g. Let r = 27 - p. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-42)\/35 - (-7)\/(-15)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**2 + 122*v + 439. Let k be w(44). Let s(t) = -15*t - 2. Give s(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = -o - r, 0 = -5*o - 5*r. Let v = 0.09 - -0.21. Let b = v + 0.1. What is the third smallest value in o, -0.5, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-1)\/8)*2. Let i be ((-8)\/(-6))\/(24\/180) + -28. Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31.99 + -32. What is the nearest to -0.1 in -2\/7, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51615*p**3 + 6*p**2 + 22968*p - 3 wrt p?\nAnswer: 309690*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 155633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 230 a factor of 33654290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 46 - 153?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 2. Let n be v(-5). Suppose 3*w + 0 = 3*y - n, -2*w = -8. Suppose 0 = y*s - 0*s - 25. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 9 = 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/160629 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65058.024782 - 1214.\nAnswer: -66272.024782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -523*j - 291*j - 577*j + (-3 + 3 + 2*j)*(0 + 2 + 0) + 3*j - 2*j - 3*j to the form u + h*j and give h.\nAnswer: -1389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/10 and 3\/1058?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 19*g**7\/1260 - g**6\/720 + g**5\/120 + g**4\/12 - 2*g. Let w(c) be the third derivative of z(c). Is w(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 5\/48, -0.4, -0.1, 9\/32, -0.07?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 - 458 - 545 = 22*c for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**2 + z**2 - 4*z**2 - 3*z**2 + 3*z**2 - 2*z**2 + (1 + 1 - 4)*(6*z**2 - 3*z**2 + 2*z**2).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 15 - 49 = 0. Let u be 2 - (-5)\/(5\/126). Suppose v*i - 52 = u. Calculate the highest common divisor of i and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 4:52 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzztzz. What is prob of sequence zzz?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-31)\/(a\/a**(-8\/5)) assuming a is positive.\nAnswer: a**(-168\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q. Let s be a(1). Let r(i) be the first derivative of -i**2 + 5*i + 1. What is r(s)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43023 + -4220?\nAnswer: 34403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/12628 and -19\/205205.\nAnswer: 820820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + r + 4*r**4 - r**4 - 3*r**2 + 0*r**4 to c*r + w*r**4 + m*r**3 + z*r**2 + h and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/196*(-20)\/95?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -4*u - 8, 0 = 4*u - 13 + 21 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19598272, 19598273, 19598274, 19598275, 19598276?\nAnswer: 19598277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -112 + 43. Let g = l + 68. Suppose 15 = 2*i + 3*i. Which is the nearest to -1? (a) g (b) i (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 AM and 5:50 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*p - 4*d, 4*d = -3*p - 0*p + 15. Let h = 22 + -12. What is the remainder when (p + 1)\/(1\/14) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.14 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*((p*p**(8\/5)\/p)\/p)\/p*p)\/(p**(1\/5)\/p))\/((p\/p**(-9))\/(p*p\/(p*p**(-2)*p))) assuming p is positive.\nAnswer: p**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -7 (b) 2\/119 (c) -4\/7 (d) -5297 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4089 divided by 1363.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -51 - 1100?\nAnswer: -1151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -31. Let n be 5\/(25\/30) + l. Solve 3*c - 5*c - n = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*x = 14*x - 1368. What is the highest common factor of 7974 and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102059 * 3.04\nAnswer: -310259.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 5770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -8481963741 and 0.5.\nAnswer: -8481963740.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxxq when four letters picked without replacement from xqxxxxxxqxxqxxx?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 564, -608, -1782, -2958, -4136?\nAnswer: -5316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 505026002 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/588936 and -69\/42207080?\nAnswer: 126621240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 51045695 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/1 + (-3)\/2. Let h = -1895 - -1895. What is the closest to -2 in h, u, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2505258 or 4\/7?\nAnswer: 2505258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 11, -58, -2 in increasing order.\nAnswer: -58, -4, -2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 2. Let m(u) = 2*u**3 - 4 - 81*u**2 + 0*u + 85*u**2 - 2*u. Calculate m(q).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -s + 20, s + 2*j + 3*j - 4 = 0. Find the common denominator of -40\/3 and (8 - 7)\/(s\/(-32)).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -22810, -182776, -616966, -1462492, -2856466?\n\"Answer: -22852*b**3 - 2*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 349811826 to the nearest integer?\nAnswer: 18703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 301, 5565, 4, -2 in descending order.\nAnswer: 5565, 301, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(363) + 0 + 5)*3 + 2)*-3)**2.\nAnswer: 10098*sqrt(3) + 32004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d + 194 = 3*o, d = -3*o + 199. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n. Solve n = 2*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*o - 782 + 772. Let t = -80 + 43. Which is smaller: t or o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 1a2d3b?\nAnswer: -1a2d37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k. Let m(h) = -2*h + 36688. Determine n(m(b)).\nAnswer: -8*b + 146752","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = -4*k - 11*c + 9*c - 84 + 14, 0 = -2*k - 438*c + 844 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-43*z**2 - 17*z**2 - 37*z**2 + z**2 + 2 - 2 + (4*z - z - z)*(2*z - 2*z + 2*z))*(2*z + z - z) as m*z**2 + l*z**3 + b + k*z and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let o(g) = 12394507*g**2 + 21123*g + 84492. Let c(q) = 2347*q**2 + 4*q + 16. Let v(z) = 21123*c(z) - 4*o(z). Calculate v(p(a)).\nAnswer: -2347*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118769017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -113*f**8\/168 + 19*f**4\/8 - 23*f**2. Find the second derivative of q(s) wrt s.\nAnswer: -4520*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, -4\/5, 2\/5, -40\/9 in decreasing order.\nAnswer: 2\/5, 3\/8, -4\/5, -40\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 0.5, 9, -2, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2141.9 - 2142.1. Which is the fourth biggest value? (a) 2\/5 (b) j (c) 3645 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wil when three letters picked without replacement from {b: 1, u: 3, w: 4, i: 1, l: 2}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -262, -289, -316, -343?\n\"Answer: -27*t - 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 13526 - 740. Which is smaller: 6391 or l?\nAnswer: 6391","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/14 + -17\/28. Which is the nearest to f? (a) -2 (b) 2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 80*t**2 - 252*t + 279. Let m be f(83). Solve 5*h - m = 3*s, 3*s + 6 = 91*h - 94*h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, 9, 30, 63?\n\"Answer: 6*l**2 - 9*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25028*x + 25027*x + k + 5, -15*k - 92 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1263 and 1193577?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 842311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 600.0217 rounded to the nearest ten?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -87, -85, -83?\n\"Answer: 2*i - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -576 and -57143.\nAnswer: 32914368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 11*t. Let d be r(-10). Let g be (-20)\/(-3)*18\/4. What is the greatest common factor of g and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1, 0.4, -2\/11, -18\/13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2 + 6*u + 9. Let o(m) = 14*m**2 + 9*m + 14. What is 5*o(q) - 8*x(q)?\nAnswer: -2*q**2 - 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -40*k + 11. Let s be y(-7). Let a be s\/18 - 5\/30. Solve -a = 3*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o**2 - 1050*o - 3123 = 0. What is o?\nAnswer: -347, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 49\/3, 0.1 in descending order.\nAnswer: 49\/3, 0.1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1*(2 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -11. Let r(z) = z - 7. Let t(n) = 1. Let l(g) = -r(g) + 3*t(g). Let u be l(m). Solve -3*p + 3*y = 0, -2*p + y + 12 = u*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.3 or 457786?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2337*n**4 + 1896*n**2 + 2350*n**4 + 8*n - 1900*n**2 as r*n**3 + i*n**2 + y + l*n + s*n**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1919 and -2.393.\nAnswer: 1916.607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) - (sqrt(240) - -2*sqrt(240)))\/sqrt(8))\/sqrt(5))\/(sqrt(18)\/((sqrt(9) + -2*sqrt(9))*3)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 14.2?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6990.2 to the nearest 10.\nAnswer: -6990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 not equal to -2926\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -106*t + 1068. Let n(g) = g**2 + g - 5. What is the remainder when n(-5) is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 2:15 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 15*b + 839. Let p be u(0). Let n = -151 + p. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -1, 12, 18 in ascending order.\nAnswer: -1, 1, 2, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3\/4 (b) 0 (c) -0.1 (d) 3 (e) 5\/7 (f) 2\/5 (g) -979.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*f = -43*f - 49 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38\/3*s + 11\/3*s**2 + 1\/3*s**3 + 40\/3.\nAnswer: (s + 2)*(s + 4)*(s + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2)*(3*h - 4*h + 0*h) + 360088 - 360088 - 2244*h to q + j*h and give j.\nAnswer: -2242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, 0.2, 142 in decreasing order.\nAnswer: 142, 43, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = -4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -20 - 9) + -9 - (-25 - -59)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 729211129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/((-80)\/(-52)) + 3. Which is the nearest to 3\/5? (a) -7 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*d = 19, 19*w - 7 = 18*w + 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*d = 26*d + 675. Let j = 211 - d. Is j >= 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lggggglgglllgg. Give prob of sequence ll.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let n = -176 + 177. Sort c, n, 4 in descending order.\nAnswer: 4, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d - 150 - 188 = 121 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.5 - -3. Which is the second smallest value? (a) q (b) 3 (c) -3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (-3)\/(1 - 2\/8). Put q, 6, -1 in descending order.\nAnswer: 6, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2665 and 2080?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1077482.9512 and 5.\nAnswer: -1077477.9512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*i**3*z + 4215*i**2*z**3 + 2*z**3 + 13*z - 97 wrt i.\nAnswer: 51*i**2*z + 8430*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1327*m + 4221 = -1087 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.105848 and 64?\nAnswer: 63.894152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -552.000005504 - -552. What is n rounded to seven dps?\nAnswer: -0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 161 divide 2377940376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 11*c**2 + 20*c + 59. What is q(-12)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-2)*((-28)\/12 - -3). Let f = r - 37. Let p = 75 - f. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114716 divided by -17?\nAnswer: 6748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5543 is divided by 312?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14710 is divided by 8254.\nAnswer: 6456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*f - 2. Solve 0 = 2*l + f + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 - (-45 - -17)) + 17 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from assasaasasassssqssa. Give prob of sequence qasq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**5 - 2*b**2 + 3*b**5 + b**5 + (-3*b**4 + b**4 + 3*b**4)*(0*b + 2*b + 0*b) + (2 - 2 + 1)*(-59*b - 50*b + 106*b)*(b**4 - b**4 + b**4).\nAnswer: b**5 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093960829 rounded to five decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6125.09 rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5 + 46*l**4\/5 - 20*l**3 - 88*l**2\/5 + 48*l\/5 = 0 for l.\nAnswer: -6, -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6843? (a) 1\/8 (b) -3\/2 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 12}. Give prob of sequence oyo.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.37 + -0.37. Let x = -13.6 + i. Put -6, 3, x in decreasing order.\nAnswer: 3, x, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32 + -20. Let c be (4 - 2)\/(2\/4). Calculate the highest common factor of c and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 + 6 = -2*u, 4*u - 11 = -n. Suppose -3*j - 73 = 14. Let o = -27 - j. Solve -2*r + u*h + 4 = 0, -4*r + 3*r = -3*h + o for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q + 24. Calculate b(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 11, 20, 15, -16, -85, -204?\n\"Answer: -2*k**3 + 11*k**2 - 8*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1523981190 rounded to the nearest one million?\nAnswer: 1524000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/5, -3, 96, 18?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -8*x**3 - 3*x**2 - 15*x + 41. Let f be d(4). Let q = f + 913. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7808457 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 + -4 + -2 + (-8)\/(-1). Let l = -7 - -9. Let a(q) = 8 - 2*q - 4*q - l*q + q + q**2. What is a(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -4*o - 104*n + 102*n, 27 = -3*o - 3*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (350 + 282 - 522)*(r**3 + 0*r**3 - 4*r**3) + 3 - 2*r + 2*r**3 + 3*r**3 + 2*r**2 - 2*r**3.\nAnswer: -327*r**3 + 2*r**2 - 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2*x + 845, 2*p - 880 = -p - 5*x. Suppose 9*s - p = 4*s. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*v = 9, 4*l + 5*v - 15 = -3. Let y(u) = -3 + 2*u + 0 - l*u - 1. Let s(d) = -1. Give -10*s(i) + 2*y(i).\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 71*r + 827. What is the units digit of j(-54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11134523471 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lz when two letters picked without replacement from lzyzz?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.75 - -0.1. Let l = -0.75 - t. Which is the second smallest value? (a) 2 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 1\/8*h**4 - 5\/2*h**2 + 0*h + 4 + 1\/2*h**3. Let l(v) be the second derivative of x(v). What is the derivative of l(z) wrt z?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*h - 14 = 0, -5*h + h = -8. Let y = 58 + -54. Suppose 0 = -4*v + 3*x + 5 - k, -y*x = 3*v + 4. Which is smaller: v or -1\/69?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 3. Let y = 7663\/1768 - -9\/221. What is the common denominator of r\/(-9)*146\/8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z + 45. Let x = -4194 - -4344. Calculate the highest common divisor of x and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163de (base 15) in base 12?\nAnswer: -3563b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -9*d - 4. Is n(-3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/t**(-9))\/(t\/t**(1\/29))*((t\/(t\/t**9))\/t)**(8\/7) assuming t is positive.\nAnswer: t**(3893\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -4*x**3\/3 + 438. Let n(b) be the second derivative of 13*b**3\/6 - b. What is y(n(w))?\nAnswer: -676*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 5, p: 4}. Give prob of picking 1 p and 2 i.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f - 6*f**2 - 17*f**3 + 5*f**2 + 18*f**3 + f - 9 in the form k*f + b*f**3 + v*f**2 + z and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 - -105. Let c be (-2 - (-3)\/15)*k. Suppose j + 5*u = -4*j + 25, 4*u - 20 = 0. Sort -5, j, -3, c in decreasing order.\nAnswer: c, j, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127275.\nAnswer: 3, 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n**3 - 10*n**2 - 9*n - 9. Suppose 1059 = 3*q + 1065. Let k(a) = a**3 - a**2 - a - 1. Determine q*c(p) + 18*k(p).\nAnswer: 10*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 914*h**3 + 835*h**3.\nAnswer: -79*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -507*i*j**4 - 6*i*j**2*k - 10*i*k + i - 184*k - 2 wrt j.\nAnswer: -2028*i*j**3 - 12*i*j*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3 - 181863*w**2 - 46704384*w - 2992226304 = 0.\nAnswer: -128, 60877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/60*(1 + 1). Let l = 0.105 + 0.295. What is the closest to y in 5, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:33 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 less than -4.42?\nAnswer: -21.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 21*b**2 - 24*b - 33. Let k be j(-12). Let x = -52897\/77 + k. Is x <= 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3133122019 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 + 1079126\nAnswer: 1079125.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let j = c - -7. Let v = -7 + j. What is the nearest to -1 in 2\/7, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95654.33ml to litres.\nAnswer: 95.65433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -760, -1707, -3040, -4765, -6888?\nAnswer: -9415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/162 and -7\/15?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -12*k + 33. Let p(u) = -3*u + 8. Let j(c) = -9*p(c) + 2*y(c). Let w be j(4). Suppose -45 = b - w*b. What is the remainder when 17 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 181 + 107. Let x be ((-208)\/o)\/((-3)\/18). What is the greatest common divisor of x and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32996)\/1095 - -50) + (-4)\/(-30).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*p + 116 = 0, 0 = 5*t - 3*p - 0*p - 101. Suppose -16 = -c - 3*j, -5*c - j + 60 + 48 = 0. Calculate the smallest common multiple of t and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*-5 + sqrt(272))*1 + sqrt(272) - sqrt(272))*2 + -1)**2 + 5 + -2 + -2.\nAnswer: 64*sqrt(17) + 17410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 20 - (3434\/85 + -52)\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 80 = -62 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17433 or 17434?\nAnswer: 17434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2) - (-485)\/(-582). Let q = 3.3 - -11.7. Let f = -11 + q. What is the nearest to h in f, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*r - 203*r - 4*o = -22942, -3*o = 3*r - 34398. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 4814*p**2 - 74*p - 8. Let l(a) = 1203*a**2 - 20*a - 2. Let z(m) = -15*l(m) + 4*o(m). Find the second derivative of z(t) wrt t.\nAnswer: 2422","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 12?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94482.\nAnswer: 2, 3, 29, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 223\/9. Which is the fourth biggest value? (a) 4\/7 (b) 2\/3 (c) -7\/4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1010*f - 10. Let z be l(-12). Suppose -9*s + 19*s = z. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1380781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) -45 (c) 0 (d) -0.5 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3916\/(-1716) - (-70)\/(-1365)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -11*t**5\/60 + t**4\/24 + 19*t**3\/6 + 13*t**2. Let v(c) = 10*c**2 - 2*c - 18. Let d(x) = -6*g(x) - 7*v(x). Solve d(u) = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/117 in 1, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -579071, -579068, -579053, -579020, -578963?\nAnswer: -578876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3 + 3 + -2). Suppose 111*y + 25 = 116*y. Solve u - s - 6 = s, -y*s - 17 = -x*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**2 + r + 4. Let p be n(3). Let v = p + 9. Let w(u) be the first derivative of u**2\/2 + 2*u + 100. What is w(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.059039977 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0377402098 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:12 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 5488*m - 33018. Give s(6).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 4*f = 9, -2*w - 39*f + 2*f - 117 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 8 = 2*u, -68 = -m - 5*u. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192797\/57 + -10031\/3. Let a = y + -5251\/190. Calculate the common denominator of 81\/14 and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15552 by -18.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 26. Suppose 5*f + j*f - 252 = 0. Suppose -f = -2*i - 5*h + 100, 0 = 2*h - 8. Is 16 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 3*p = -5*w + 55, -2*w = 2*p - 2. Suppose 7 = 5*c + b, w = 2*c - 0*c + 2*b. Suppose y + c = 9. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) -0.2 (b) 2\/7 (c) -7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-34)\/255*(-1 - -11). Which is the third smallest value? (a) 2\/7 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8650.097 meters?\nAnswer: 8.650097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 5*t - 30, -3*k = 2*t - 6*t - 7. Suppose -t*j + 3 = -j. Suppose -1 = j*w - 10. Calculate the least common multiple of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -15*q. Let k(l) = 566*l. Calculate k(y(v)).\nAnswer: -8490*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1433*g**3 - 2893*g**3 + 1392*g**3.\nAnswer: -68*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 10:26 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -910*h**3*q**3 - 222*h**3*q**2 + 92*h**2*q**3 + 7*h**2*q + 9*h*q wrt q?\nAnswer: -5460*h**3 + 552*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 17*o**2 + 16*o + 5. Let k be a(-16). Suppose -3*r = k*r - 488. Let y = 131 - r. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0315 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408897 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: How many minutes are there between 5:32 AM and 12:11 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206879560 a multiple of 888?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-4*i + 4*i - i**2)*(1 - 5 + 2).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117900 is divided by 16829?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*r - 2 + (2 - 5 + 5)*(-r + 2 - 2) + 65 - 65 - 87*r + (-2 - 2 + 7)*(0*r + r + 0*r).\nAnswer: -88*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.2. What is the nearest to c in 2\/13, 0.1, -5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10343881*g**2 - 503840 with respect to g.\nAnswer: -20687762*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 2\/9, 0.4, -1\/3, -0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 5*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -5*c**2 + 0 + 1\/6*c**4 + 3\/20*c**5 + 0*c + 1\/2*c**3. Let s(d) = -4*d**2 - 2*d - 1. Calculate 2*q(b) + 5*s(b).\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4140?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 + 1)*(-3851*w + 2534*w + 2088*w).\nAnswer: -1542*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1065, -2, -0.1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.495 - 18.495. Which is the nearest to -2\/5? (a) -4 (b) l (c) -11.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 24 = -7*x. Let y be ((-363)\/44)\/((-2)\/x). What is the greatest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 63486.13 millennia?\nAnswer: 6348613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6704684*b + 8. Let u be z(-5). Let n = u - 17602302. Let a = n + -39121126. What is a rounded to the nearest 1000000?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*y**2 + 13*y**2 - 4*y - 40*y**2 in the form f*y**2 + c*y + t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**5\/5 - 15557*c**4\/5 + c**3 + 15557*c**2 - 4*c\/5 - 62228\/5 = 0. Calculate c.\nAnswer: -15557, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26.345 - -0.445. Let t = x + 24. Let u = t - -1.9007. What is u rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 2*p = -6, 32*d + 5*p = 33*d - 41 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 p when three letters picked without replacement from {d: 4, p: 7, w: 4}.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zdlvz. Give prob of picking 1 z, 1 v, and 1 d.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192 and 86256?\nAnswer: 345024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2402737, -4805338, -7207939, -9610540, -12013141, -14415742?\n\"Answer: -2402601*x - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -h**8\/42 + 19*h**7\/15 - 29*h**6\/60 - 133*h**5\/30 + 11*h**4\/4 + 4674*h**2. What is k in j(k) = 0?\nAnswer: -1, 0, 1\/4, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 4*l - 2. Let k be m(3). Let p be 4\/(4\/k + 0). Is 4543\/p - (-3)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 226225.\nAnswer: 2940925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**5\/15 + 5*b**3\/3 + 3*b**2\/2 - 3. Let o(c) be the second derivative of a(c). Find the first derivative of o(w) wrt w.\nAnswer: -8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/33 - 237\/(-33). Let q(w) = -w**2 + 174. Let m be q(0). Suppose 4*p + m = u*p. Calculate the remainder when p is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 405 - 401 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3811 + 3809. Is -83\/80 bigger than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of h**3\/3 - h**2 + 7*h - 7. Let t(p) be the first derivative of m(p). Calculate t(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -221\/25, 1, -2, 7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2645 + 21.0817536329.\nAnswer: 21.3462536329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 1. What is the remainder when (-8)\/6*57\/(-2) is divided by ((-26)\/(-4))\/(2\/t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353803152 to the power of 1\/2, to the nearest integer?\nAnswer: 18810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + c**4 - 3*c**4 - 4*c**4 + 3*c - 3*c + (c - 2*c + 3*c)*(4*c**3 + 2*c**3 + 2*c**3).\nAnswer: 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368 is divided by 35?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*y + 1426 with respect to y.\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + a = 4*a - 9, -4 = -4*a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 1340.\nAnswer: -13.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.8 from -2175116.\nAnswer: -2175116.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 331301628 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of p**2\/2 - 3*p - 3. Let r be h(5). Suppose g + 18 = 5*g + r*u, -6 = -3*g + u. Solve -3*k + g*d - 17 - 1 = 0, -d = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + (sqrt(832)\/sqrt(4))**2 + 1.\nAnswer: sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 1\/20*f**5 - 1\/6*f**3 + 0 + 1\/2*f**4 + 4*f - 7\/2*f**2. Give y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**5 + y**5 + 0*y**5 + (3*y**4 - 2*y**4 + y**4)*(10*y - 6*y + 9*y).\nAnswer: 23*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 - -41.973. Let y = -0.026988 - c. Round y to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 27. Suppose -s = 5*t - w, -2*t + 2 = -0*s - s. Let p(i) = -i**3 + 3*i**2 + 2*i. What are the prime factors of p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/((10\/6)\/5). Suppose v*x + 4*w - 110 = 0, 5*x - w + 3*w - 160 = 0. Let n = x - -1. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 154354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13\/7, -218, 18, -4?\nAnswer: -218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2\/11 - 924024*n\/11 + 76707770\/11 = 0.\nAnswer: -462095, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*t**3 + g**3 + 3*g**2*t**3 + 3*g - t**3 - 22*t**2 wrt g.\nAnswer: 12*g*t**3 + 6*g + 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + n + 86, -3*h + 5*n + 115 = -0*n. Find the first derivative of -h + z + 47 - z + 5*z**3 wrt z.\nAnswer: 15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 10, -18, -48, -80, -114, -150, -188?\n\"Answer: -c**2 - 25*c + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7364821169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19210637?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 11 (b) 2\/99 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5960 divided by -1690\nAnswer: -596\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22726 + 22714 = 4*f, 0 = -t + 5*f + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 338\/(-4225) + (901\/50 - 18).\nAnswer: -3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (86\/(-4))\/(2\/(-4)). Suppose -58*c + 4*i - j = -63*c, 0 = -5*c + 5*i + 70. Calculate the remainder when 73 is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189102 or -189101?\nAnswer: -189102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63 and 81?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from ttotnnttk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 17*w**2 - 23*w + 75. Let d(l) = l**2 - 2*l + 1. Let k(u) = -3*d(u) + z(u). What is the remainder when k(12) is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -42385.\nAnswer: -11\/42385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*o**3 + 2*c*o - 27*c - 13207*o**3 - o**2 - 3 wrt o?\nAnswer: -12*c - 79242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/39*(-12)\/70\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -6 + 5 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 14\/(-8) - 1\/4. Suppose 0 = 3*m - 7 - 5. Let j = m - o. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39.1 - -114823.\nAnswer: 114862.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - 1*sqrt(99)*5)\/sqrt(9).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = -3*g + 44, -2*g - 2 = -g + 2*l for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2. Let g(v) = -22*v**2 - v. Determine g(f(o)).\nAnswer: -550*o**4 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32102101 (base 4) in base 14?\nAnswer: 17477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 - 5*l + 5. Calculate s(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**(-1\/5))\/o**(-1\/3))**(-43)\/((o*o\/(o\/(o*o**1\/o*o*o)))**(-26))**45 assuming o is positive.\nAnswer: o**(67921\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 + 4)*(-3*t + 3*t - 2*t**2) - 2*t**2 + 0*t**2 - t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/21)\/(((-4)\/12)\/(-1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 669846*q. Let o(j) = 16*j. What is o(n(f))?\nAnswer: 10717536*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6\/7 (b) 4 (c) 2\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 327*a = 332*a + 25. What is the tens digit of 0 + a + 3 - -63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*r - 8. Let q = 14 + r. Suppose 36 = q*g - 6. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/14 and -89\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 minus 1097283?\nAnswer: -1097283.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-34 - -49) + (-8 - (-4 - -7))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32 - 30. Suppose 0 = 4*d - 3*i - 69 - 37, w*d + 5*i = 66. Suppose r - 57 = d. Is r a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42*20\/(-560))\/(3\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 8 + 7. Calculate the highest common factor of 10 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/128477118 and -65\/18353874.\nAnswer: 128477118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5640*b**3*l**3 + 51*b**3 - b**2*l + 32*b**2 + 2*b*l**2 wrt l.\nAnswer: 16920*b**3*l**2 - b**2 + 4*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p = 11*p - 443 - 369. Sort p, 1, 2, 7.\nAnswer: 1, 2, 7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14190*u**2 - 28393*u**2 + 4980*u + 14201*u**2 as a + p*u**2 + s*u and give s.\nAnswer: 4980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 4:54 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5355 and 81657205?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 472471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/5))**34\/(g\/(g\/(g*g*g**13*g)*g)*g*g**(-1\/7)))**(-8\/7) assuming g is positive.\nAnswer: g**(8248\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((2*sqrt(72) - sqrt(72))\/sqrt(8) - 1*-2*sqrt(9)))\/(-4*(sqrt(243) + 1*sqrt(243)) + (sqrt(243) + -5*-1*sqrt(243) - sqrt(243)))*2.\nAnswer: -8*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3936 and 8032761?\nAnswer: 257048352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5608)\/7455 + (-6)\/(-42) + (-24)\/(-40)?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 409, -86, -1479, -4220, -8759, -15546, -25031, -37664?\n\"Answer: -75*o**3 + o**2 + 27*o + 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-2 - -1 - 3). Let z(c) = -c**2 - 13*c - 204. Let h be z(0). Let k = 817\/4 + h. Put 0, v, k in descending order.\nAnswer: k, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 13) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441)\/sqrt(7) + (sqrt(7) + sqrt(112))*-3 - -6*(sqrt(7) - (sqrt(7) + sqrt(7) + 0 - sqrt(7))*5))*5)**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 5*x**2 - 8*x - 8. Let v be h(-6). Let a be 9\/5*5\/1. Let c be 12\/(4\/(24\/a)). Calculate the greatest common divisor of v and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 27 = 30*k + 6*n, -2*n - 2 = 2*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11800.195618 - 0.05126.\nAnswer: -11800.246878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 827 divided by -827.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s - 22*s)*(9 + s - 9) + 4*s**2 + 0*s**2 - 3*s**2.\nAnswer: -24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**3\/15 - 3*h**2\/10 + 2*h\/5 - 172. Factor l(o).\nAnswer: (o - 2)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -43*d + 15*d + 2*d**2 + 3 - 4*d**2 - 4*d**3 + 23*d. Let k(j) = -13*j**3 - 7*j**2 - 16*j + 9. Give -2*k(i) + 7*z(i).\nAnswer: -2*i**3 - 3*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -13165, -14, -3, -4 in decreasing order.\nAnswer: -3, -4, -5, -14, -13165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 24*q**2 + q - 123*q**3 - 24 + 158*q**3 - 36*q**3 = 0.\nAnswer: -1, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*j**2*o**4 - 33*j**2*o**3 - 2*j**2*o + 624*j**2 - j*o wrt o.\nAnswer: 888*j**2*o**2 - 198*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o + 1. Let w be q(6). Determine m so that -w*m**2 + 2*m + 2*m**3 - 6*m**3 + 9*m**3 = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {e: 1, t: 6, b: 1, s: 9}?\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42966 from -8908.\nAnswer: -51874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69b78 (base 13) to base 3.\nAnswer: -100210212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 70450 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 324 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 77760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-6))\/((-1)\/(-10)). Let t = 9 + b. Suppose -2*a + p + 19 = 0, a - t*p - 17 + 4 = 0. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(28)\/(sqrt(7) + sqrt(28))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448921 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 0 - 1\/5*b**2 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-70)\/(-10))*((-224)\/(-120))\/(-14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**2 - 57363*i**3 - 4472*i**3 + 0*i**2.\nAnswer: -61835*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, y: 1, j: 6, f: 3}. Give prob of picking 1 y and 1 f.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 9, 2, -0.4, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 16 = -3*m. Suppose m*y - 2*l - 46 = 0, -2*y = 5*l - 4 - 1. What is the remainder when 17 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4132901 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fkk when three letters picked without replacement from {l: 4, f: 6, r: 1, b: 1, k: 4}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130615*m = -130897*m + 2538 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 8:56 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*z - 199*z + 1676 = 6668 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108524952 is divided by 111.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 12*q + 5. Let k be o(-11). Let u be 4\/k + (4\/7)\/1. Let z = -0.5 - 1.5. Sort 1, u, -3, z in ascending order.\nAnswer: -3, z, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 16*z - 20. Calculate k(10).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11234552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*n = 572*n + 854 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -45*p + 328. Give x(8).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -14. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/6)\/(1\/(-2) - -1). Suppose 0 = -p, -l*p + 388 = 4*x - 3*p. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 h when three letters picked without replacement from uhwwwuuwhwu?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*k + 1665 + 388 + 491 = 78*k for k.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29294.89 decades?\nAnswer: 3515386.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3718*g - 3423*g - 41005 for g.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**10)\/(n*n**3)*(n**(2\/15)*n)\/(((n\/n**18)\/n)\/n))**(2\/159) assuming n is positive.\nAnswer: n**(214\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9636812*x**3 - 21590064*x wrt x.\nAnswer: 57820872*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vebbeevvbevee. What is prob of picking 2 b?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*o**2 - 11*o**2 - 6*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/550?\nAnswer: 1\/550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 30*f + 1 - 24*f)*(-5 + 3 + 3) + 0 + 2*f + 0 + (0*f + 2*f - 4*f)*(8 - 2 + 3) to the form n + j*f and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 5\/3 (b) 2\/5 (c) 2 (d) -6\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -2*d + 3 - 2, -h = -2*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 1. Let n(f) be the second derivative of 7*f**4\/12 - f**3\/6 + 5*f**2\/2 + 5*f. Determine -5*k(a) + n(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -942 - -957. Let o = -4 - -6. Which is the nearest to 1? (a) 0.5 (b) u (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/10 of a meter?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -54, -53, -42, -15, 34, 111, 222, 373?\n\"Answer: l**3 - l**2 - 3*l - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 789 + -1177. Let c = 772.7 + -409. Let b = c + p. Round b to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + ((-28)\/98 - 27\/(-21)). Suppose -2628 = -5*t - 2*u, -d*t = -4*u + 5*u - 2103. What are the prime factors of t?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6812?\nAnswer: 2, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**11\/(y\/(y*y\/y**8)))\/(y**(-3\/16))**26)**(-43) assuming y is positive.\nAnswer: y**(-3053\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-4 + 4 - 2)*(2 - 1 - 2)*(47*t - 1444 + 1444).\nAnswer: 94*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 11:05 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9 + -18)*(-93)\/6200 and -39\/110?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3092079 + -383079. What is n rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 + 11*b**2 + b**2.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(10*(-20)\/150)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/8, 0.3, -0.06?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**4 + 19965*q**3 - 662115*q**2 - 19965*q + 662112 = 0. Calculate q.\nAnswer: -6688, -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80262*c**2*f - 10*c - 406*f wrt c?\nAnswer: 160524*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 910, 3, -4, 5.\nAnswer: -4, 3, 5, 910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 12 - (0 - -7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27 - 32. Let a = y + 99. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6229363?\nAnswer: 7, 889909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -362, -2538, -8476, -20054, -39150, -67642?\nAnswer: -107408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -4, 7, 1.\nAnswer: -12, -4, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/240 - 3*c**5\/16 - 7*c**4\/24 + 5*c**3\/8 + 29*c**2\/16 - 172*c - 17. Let u(j) = 0. What is j?\nAnswer: -29, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 195 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d5a (base 15) to base 7.\nAnswer: -124546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 644133 divided by -17409\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6786)\/5655)\/(15\/1150).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*v**3 + 12*v**2 - 12 - 89*v**3 + 11*v**2 - 31*v**2 wrt v.\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 57 and 1393824?\nAnswer: 26482656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 308\/17 + (-24)\/204. Does 32 divide -30*(-2)\/(j\/123)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -30. Let y(w) = 53*w + 4. Let f be y(1). What is the highest common factor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u**2 - 5*u + 5. What is m(2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13557.19mm in micrometers?\nAnswer: 13557190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -117.156295.\nAnswer: 468.62518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.9083 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 145732925 a multiple of 221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*j + 2*v, 21*v + 21 = j + 13*v for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4259641*i + 496*i**3 - 4259641*i.\nAnswer: 496*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*m = -16*m - 118 + 102 + 286 for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 + 6*u**2 + (2 - 2 + u)*(u + u - 3*u) to a + v*u + g*u**2 and give g.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y = -24437 - 35692. Is 7 a factor of (-1)\/(-4 + y\/(-1671))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p + 29. Suppose 116 = -18*m + 47*m. Let g be h(m). Solve -2*c - g*c - 28 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 2*o = -10. Calculate the remainder when 3 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruruuhhurrrrrru. What is prob of sequence rrh?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and 1005030250.\nAnswer: 1005030247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 0 + 0*r + 0*r**6 + 0*r**4 + 0*r**5 - 1\/2*r**3 + 3*r**2 + 1\/70*r**7. Differentiate f(m) with respect to m.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 883.015 - 887. Let o = s + 4. Round o to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 + 1. Let u(c) be the second derivative of -c**4\/3 + 5*c**2\/2 - 5*c. What is 5*l(v) - u(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(208)) + -1)**2 + 6*(0 + sqrt(1300) + 1)**2 + -5.\nAnswer: 648*sqrt(13) + 15410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -57, -127, -225?\n\"Answer: -14*r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*-2*sqrt(95))\/sqrt(5).\nAnswer: -6*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5 = -25 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 1, y: 3, j: 4}. What is prob of picking 1 y and 1 i?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 432577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 47, 34, 15, -10?\n\"Answer: -3*x**2 + 2*x + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 90 - 105 = -87 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2. Let j(h) = h - 2173. Give j(g(i)).\nAnswer: -2*i**2 - 2173","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 48018843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is 45448889 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 119 = 107. Put x, 4, 12, 2 in decreasing order.\nAnswer: 12, 4, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10 + 10 - 7 + 7*i + 14. List the prime factors of f(16).\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 10:21 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 55, 71, 87?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*31\/((-1085)\/(-98)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 9:10 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3533327 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0837 + -12.0837. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + -44 + (67 - 44) + (0 + -2 - 42)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*z = 91*z - 112. Calculate the greatest common divisor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2059179744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 2*m + 15. Let x = -46 + 76. What is the lowest common multiple of x and d(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -11*l**2 + 3\/2*l**3 - 11\/10*l**4 + 0 + 21\/50*l**5 + 2*l - 1\/350*l**7 - 3\/50*l**6. Factor t(o).\nAnswer: -3*(o - 1)**3*(o + 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 2*b - 7. Let u be 4 - 16\/12*-3. What is the tens digit of y(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1526 rounded to the nearest 100?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 5 = -4*c. Let u = c - -10. Suppose 0*b + 3*b = u. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n - 16*n - 18*n)*(2*n**3 - 9*n**4 + 1511*n**2 - 1511*n**2).\nAnswer: 432*n**5 - 96*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*g = -5*g - 2695, 0 = 5*g - 25. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -58*f + 21. Let z be v(19). Is -1080 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 12. Let l(b) = -2*b - 12. Let x(a) = 5*g(a) + 4*l(a). Is 3 a factor of x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7149 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: In base 8, what is 1 - 25?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -18*r**2 - 32151*r + 54868500 = 0.\nAnswer: -17125\/6, 1068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1221 + 10?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*h + 0 - 2 - 84*h - 2*h**2 - 28*h to the form u + a*h + g*h**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343 - 103. What is the highest common factor of g and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -5*o + 120. Suppose -5*i + 4*a = -2*i - o, 2*a + 10 = i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 28*n - 27. What is k(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.4046 + -0.0146. Let s = -2.40294 + l. Round s to 3 decimal places.\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - (6 - 4). Let b(a) = -683*a - 9. Let l be b(s). What is l rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 0*z**2 + 88*z**3 + 19 + 0*z**2 - 109*z**3 with respect to z.\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 2, -127 in descending order.\nAnswer: 2, -3, -19, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 62. Let z be (-2)\/(-4)*h*(-60)\/9. Solve -3*i + 5*i = -z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ba when two letters picked without replacement from {a: 4, b: 7, t: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:35 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2604 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2798 (base 12) to base 15\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-28))\/((-4)\/(704\/(-165))).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*q + 17411 - 12693 + 19852 = 0 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 98 + -84. Suppose g = 5*g - 104. Let l = g - j. Does 12 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17004.28 rounded to the nearest 10?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 387.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2811197*j + 2. Let r(a) = -244*a. Calculate r(d(z)).\nAnswer: 685932068*z - 488","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 2. Let q be 60\/18 + 2\/(-6). Let c(r) = q*r - 3*r - 2*r**2 + 4*r**2 - 5. Determine -2*c(v) + 5*p(v).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -194b (base 14) to base 4\nAnswer: -1013133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 3*y + 39\/2*y**2 + 0 + 17\/6*y**3 + 1\/12*y**4. Is f(-19) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39515099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 33*l**2. Let b(h) be the first derivative of -3*h**2 - 3*h - 19. Let k(p) = 5*p + 2. Let j(t) = 2*b(t) + 3*k(t). Give j(c(x)).\nAnswer: 99*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -4*n - 12, -10*u - 9 = -5*u + 3*n. Suppose 0 = -2*k - 4*a - 26, k - 4*a = -k + 14. Sort k, u, 5, -5 in increasing order.\nAnswer: -5, k, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 10)*(3*i + 70*i - 16*i).\nAnswer: 456*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 5*z**2 + 2*z + 48. What is n(-4)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 a when three letters picked without replacement from hmmhmmmvamhhmaamaha?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 13242670 to the nearest 100000.\nAnswer: 13200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -440, -1056, -2076, -3494, -5304, -7500?\nAnswer: -10076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 0, 0.2, 41 in decreasing order.\nAnswer: 41, 0.2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.42 - -0.6205094.\nAnswer: -9.7994906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + -21. Let p = -26 - f. Let n be 0 + (p - (-6 + 4)). Solve -3*a + 9 = -n for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 12) in base 13?\nAnswer: 1b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3, v: 1, b: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7975198 and 2310?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 3 + 11. Let a(m) = 5*m**2 - 9*m - 17. Let h(y) = y**2 - 2*y - 4. Let b(r) = n*a(r) + 9*h(r). Calculate b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 37206?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 125.2 + -123. Let o = -0.02 + 0.82. Let a = o + b. What is the second biggest value in -0.3, a, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(288) + (sqrt(288) - sqrt(288)*1)) - ((sqrt(105)*1)\/sqrt(5) - -5*sqrt(336)))\/(4*2*sqrt(192) - sqrt(36)\/(sqrt(36)\/(sqrt(9)\/sqrt(3)))).\nAnswer: -251*sqrt(7)\/756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y - 20 = 14*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -639, -623, -607, -591, -575?\n\"Answer: 16*h - 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228440 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 1. Let x(z) = -6*z**3 + 3*z**2 + 2*z + 6. Let n be x(3). Let o = n - -124. Calculate c(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -14387, -14351, -14305, -14243, -14159, -14047, -13901?\n\"Answer: f**3 - f**2 + 32*f - 14419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -854*a - 11*a**2 + 12*a**2 + 174*a.\nAnswer: a**2 - 680*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/7)\/((s\/(((s**(2\/29)*s)\/s)\/s)*s)\/s))\/(s\/((((s\/(s\/(s*s**5*s)))\/s)\/s)\/s*s)*s**(-3\/2)) assuming s is positive.\nAnswer: s**(1101\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 5*w + 40, -4*j + 26 = -0*j + w. Suppose 3*g = 3 + 753. What is the hundreds digit of g\/j*10\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13657966.\nAnswer: 2, 7, 139367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 309.6 - 13?\nAnswer: 296.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5568?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 906*b - 16 = 903*b + 13, -2*b = -5*m + 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 = 5*g - 4*m + 66, m + 19 = 2*g. Solve -4*q + g*q + 7 = -y, -y - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 6*k**2 + 2*k - 9. Let r be b(6). Suppose 2*l - 18 = r*p, l + p - 2*p - 8 = 0. Calculate the remainder when 141\/6 + 6\/(-4) is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2659668346?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 1. Suppose 1527*m - 1528*m + w = 14, -34 = m - 3*w. Sort c, m, 1\/3, 1.4 in ascending order.\nAnswer: m, c, 1\/3, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**5\/30 - x**4\/12 - x**2\/2 + 3. Let g(d) be the second derivative of z(d). Find the second derivative of g(q) wrt q.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-45))\/a)**(1\/24)*a\/a**(-29)*a\/a**45 assuming a is positive.\nAnswer: a**(-97\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 25. Calculate the remainder when d(-9) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) -1\/5 (c) 304 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - 9*h**2 - 951*h + 5365. Give v(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.97 - 7. Let x = i - 0.17. Let s = 0.03 + -0.33. Which is the third biggest value? (a) s (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 15 = -9*f. Let n(m) = 20*m**2 + 9*m - 8. Let w be n(1). Calculate the highest common divisor of w and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0276868 rounded to 4 dps?\nAnswer: -0.0277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from {i: 4, c: 3, u: 2, x: 9}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dldnxxxddldxdpd. Give prob of picking 1 d and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 8*m**3 + 7*m**2 + 16*m + 38. Determine y(0).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**2 + 3\/4*d**4 - 4\/3*d**3 + 1 + 0*d. Is 5 a factor of i(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 6*r - 5. Let u be j(-4). Let q = 7.741 - -0.189. Let i = -0.07 - q. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, 1 in increasing order.\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(243) - (4 + -1*sqrt(243)) - sqrt(243)) + (sqrt(108) - (sqrt(108) + -2)) + 2 + 5.\nAnswer: -18*sqrt(3) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x**3\/7 - 4076*x**2\/7 + 13520*x\/7 = 0.\nAnswer: 0, 10\/3, 676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 190, -8, -570, -1652, -3410, -6000, -9578?\nAnswer: -14300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, p: 2, c: 2, a: 2, b: 2}. Give prob of picking 1 x, 1 c, 1 b, and 1 p.\nAnswer: 18\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -2\/11, 6, 370, -8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 5616930*f + 11233864.\nAnswer: -(f - 5616932)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10738 + -141573105.2.\nAnswer: -141583843.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -190 + 281. Calculate the highest common divisor of h and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(1216) - (-3 + (sqrt(76)\/sqrt(4))**2)) + (sqrt(931)*1 - (sqrt(209)\/(sqrt(55)\/sqrt(5)))**2))*5.\nAnswer: -185 + 75*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibicbicbv. What is prob of picking 1 v and 1 b?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 1. Let u be j(-1). What is the common denominator of 41\/3 and u - 2 - 94\/12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (3 + 1 - (-4 - -12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*t + 102*t - 2857 = 348*t + 4135 for t.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -21. Suppose -24 = 4*w + 8. Let g = w + u. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b*p*u*v**3 + 2*b*p*u + 4*b*v**3 + 2*b - 34*u*v**2 wrt p.\nAnswer: -3*b*u*v**3 + 2*b*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (-39)\/((-624)\/128)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.7, 0.5, -5, -1\/43, 0.3?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**3 + 3*h**2 - 34 - 5*h**2 + 342.\nAnswer: -6*h**3 - 2*h**2 + 308","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnpp. What is prob of sequence nptp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in -10, -3, 2, -3\/7, -1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*c = -126*c + 45. Let d be (-4)\/6 + 16\/6. Suppose -d*p - c*y + 135 = 0, 12 = -p + 2*y + 102. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*v - 1)*(0 - 2 + 3) + (-10*v + 3*v - 3*v)*(-6 + 8 - 6).\nAnswer: 38*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/630 - d**4\/12 - 4*d. Let g(q) be the third derivative of z(q). Factor g(u).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.83385 and -111?\nAnswer: 2534.55735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g + 4. Let v be r(4). Let y be v\/(-14)*(-28)\/8. Suppose y*n - n = 22. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**23*c**(-2) assuming c is positive.\nAnswer: c**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let o = 2.5 + k. What is the closest to -2\/5 in -3, -1\/3, o?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27167384 and 808?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180\/7 - 1592\/63. Let r(t) be the first derivative of -5\/9*t**2 - 1\/18*t**4 - 8\/27*t**3 - i*t + 2. What is l in r(l) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 7*q**2 - 509*q - 1158. Give i(75).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 3)*(-83059*i**2 - 2 - 5*i**4 + 83058*i**2 + 1 + 2*i**3).\nAnswer: -20*i**4 + 8*i**3 - 4*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -21. Calculate the least common multiple of 6 and t.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 11*m + 18. Calculate y(14).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 17*r**2 + 40*r - 659. Let i be y(14). Which is smaller: 2056 or i?\nAnswer: 2056","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*m - 15. Suppose 163 = -3*f + 154. Let s be 7\/3 - ((-4)\/f + -1). Solve 3*n - s = 4, h + 4*n = m for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*v + 0*v - 8*v + 1620 = -97*v for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -1010?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 131199072 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*o**2 + o**4 + 22*o**2 + (-2 + 2 - 4*o)*(2*o**3 - 2*o + 2*o).\nAnswer: -7*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 6*j + 13. Let p be v(-9). Let w be (-1270)\/p + 40\/140. Let c = w - 47. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Let p(t) = t**2 + 3*t - 2. Let l be p(r). What is the units digit of 100\/l + 6\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/7 + 9\/(-3). Let f = -0.6 + -0.59. Let u = -0.81 + f. Is u equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 8:56 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zdve when four letters picked without replacement from dlllldlvddddzzeddd.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 2*s**2 + 3*s + 2. Let r be (5\/10)\/((-1)\/(-168)). Suppose -4*h + 4 + r = 0. Calculate the lowest common multiple of i(-3) and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1308 and 1164?\nAnswer: 126876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219491 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 409 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in seconds?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7278 + 7278.8. Which is the third biggest value? (a) g (b) 0.08 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from pppmpppppm.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147 + -179. Let h = -33 - g. Which is greater: -1\/25 or h?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 78 - 16)*(-28*l + 11*l - 12*l) in the form t*l + r and give t.\nAnswer: 2494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Calculate the remainder when x is divided by (4*1\/(-3))\/(66\/(-99)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Let f(z) = 2*z**3 + z**2 + 3*z. Let w(c) = -c**3 - 6*c**2 - c - 5. Let k be w(-6). What is k*f(l) - 4*v(l)?\nAnswer: 2*l**3 + l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15259691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43765933 is divided by 2598.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 16*z = -28. What are the prime factors of -1*(-3 + z - 415)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 9 + n - 11 - 3*n - 4*n. Determine j(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - 912*u. Let h(q) = -28*q. What is h(g(m))?\nAnswer: -28*m**2 + 25536*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -59 + 23 - (-41 + 17)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/5, -8144, -1\/2 in decreasing order.\nAnswer: 10, 1\/5, -1\/2, -8144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - (-11 - -10)) - (-13 - -3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -2*b**2 + 326*b - 13139. Determine z(90).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 0.06, 0.07, 2\/17, -164\/183, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + f + 102 + 30 = 0, 2*g - 4*f - 80 = 0. Calculate the remainder when 74 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*d - 2*d - 3*d)*(-d + d + d) + 438 + 37*d**2 - 93 - 38*d**2)*(-3 + 0 + 2)*(4 + 0 - 3).\nAnswer: 2*d**2 - 345","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4359 divide 290862402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -5. Let y(p) = -p**2 + 3. Let z be y(b). Is 20 a factor of (0 - 2)*111\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odd when three letters picked without replacement from oxxxomyxoymdodymxxox?\nAnswer: 1\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14 or 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*t + 14 - 227 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2063 is divided by 109.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 7. Let n = -382 + 383. Which is smaller: n or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 746, -0.8, -2, 5, -0.4, 0.796?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**12\/((h\/h**(-6))\/h))**(25\/2)*h*h*h**4*h**(1\/5)*h**(2\/9)*h*h**(3\/8)\/h assuming h is positive.\nAnswer: h**(29447\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -299 - -449. Let a = x + -149. Let o(h) = 11*h**2 - 1. Calculate o(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. What is the units digit of y - (-4)\/((-4)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -497 + 496.37. What is the nearest to -2 in -4, o, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 4*q**2 - 4*q - 1. Let m = -33 - -29. Let j be z(m). Suppose 0 = -j*v + 20*v - 40. Let x(l) = l - 6. Calculate x(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 3*r = -12*i + 40, 0 = -3*i - 4*r - 45 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3229? (a) -3\/4 (b) 5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 178537846 to the nearest integer?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(12)*3*-6) - (sqrt(60)\/(1*sqrt(12)) + sqrt(80)\/sqrt(4) + sqrt(5)))**2.\nAnswer: 26645\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 288*s - 322*s - 292 + 20 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)\/g*g*g**(-2\/31)\/g assuming g is positive.\nAnswer: g**(-41\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/1463280 and 157\/1920.\nAnswer: 11706240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1887*t**2 + 22 - 1887*t**2 - 33*t**4 wrt t.\nAnswer: -132*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 459248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6572909 and 1341410?\nAnswer: 65729090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/2 (b) -0.4 (c) 1\/128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k**2 + 5*k**2 - 4*k**2 - 10*k**2.\nAnswer: -25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30553871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 r when two letters picked without replacement from {o: 2, c: 3, e: 1, a: 1, r: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 75530 (base 10) in base 16?\nAnswer: 1270a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*h**5 + 0*h + 2*h**2 - 2*h**4 + 2*h**3 + 210*h**5 - 3*h + 3*h.\nAnswer: -2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2079*g - 2079*g + 76*g**2 + 4158*g.\nAnswer: 76*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-23 - -5)*(-6)\/4. Suppose -4*o = -o - x. Is 10\/(3 - 24\/o) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -528*i. Let v(n) = -63*n**2. Give h(v(d)).\nAnswer: 33264*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66602374391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18450?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-864) - (-3 - -1 - (-13640)\/(-297))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:28 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 215987015?\nAnswer: 215987017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 7, s: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 g when four letters picked without replacement from gvvssvvvvgsvsvgv.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0440022 + -0.044. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 15*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -116*s + 1516. Does 54 divide b(-67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -117871*j - 136739?\nAnswer: -117871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iodro. What is prob of sequence oro?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let a be (-1)\/(-7) + 80\/(-70). Let g(m) = m**2 - m. Give a*x(k) - 3*g(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + c. Let r(m) = -7*m + 3. Let b(n) = -20*n + 8. Let w(d) = 6*b(d) - 17*r(d). Let t be w(-4). Calculate z(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6999713 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 2*f**2 + 24967*f**3 + f**2 - 24952*f**3.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-8)\/20)\/1)\/(252\/(-20) + 7). Which is smaller: -19\/3 or l?\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3783 is divided by 645.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**8\/336 + t**5\/15 + 4*t**2. Find the third derivative of i(h) wrt h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-11\/3))\/(((j*j**(7\/4)\/j)\/j)\/j)*(j\/((j*j*j**(2\/9)\/j*j)\/j))\/j**(-3))**(2\/9) assuming j is positive.\nAnswer: j**(277\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 352*f**5 + 318*f**5 - 715*f**5 + f**5 - 3*f**4 + 3*f**4 + (2 - 1 + 0)*(f**5 - 5*f**5 + 2*f**5).\nAnswer: -46*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -15*z - 32. Is m(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145460190 is divided by 29092035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-3 - 2 + 3)*(-5 + 1 + 2)*(s**4 + 4*s**4 - 8*s**4).\nAnswer: -24*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 + 12 + 0*m**2 + 5*m**2 - 4*m**2. Let f(g) = 2*g**2 - 7*g**2 - 7*g**2 + 9*g**2. What is c(f(i))?\nAnswer: -9*i**4 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*i + 44, 0 = -3*i + 2*i - p + 10. Let u(c) = -2*c + 9. Let k be u(i). Let f be -1 - -2*21\/54. Sort k, 0, f.\nAnswer: k, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 3052a9a?\nAnswer: 3052a9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*i = 57*i + 16*i + 10425 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 624435846 at least as big as 624435845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence veev when four letters picked without replacement from {e: 4, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let t(f) = -5*f + 0*f + 4*f - f. Give y(t(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21533643 and 97403.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*p - 8476 = 54*p - 4*o, p - 2*o - 1684 = 0. What are the prime factors of p?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(720))**2*1.\nAnswer: 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 241847439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78035, 156258, 234481?\nAnswer: 312704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004778 rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in -17\/59, -1659, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 - 0) + 0. Does 14 divide -4 + v + -12 + 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148304 and 1472.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -2 - 7\/2*s**2 - 7*s. Differentiate v(y) wrt y.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-1666)*7)\/((-5)\/(-70))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.58 (b) -227 (c) -3\/2 (d) 3\/40 (e) 2\/17 (f) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(3\/28)*k*k))\/(k\/(k*k*k*k\/(k*(k*k**(-15))\/k)))*k\/(k**(-6\/5)\/k)*(k**(-4\/21)*k)\/k*k*k assuming k is positive.\nAnswer: k**(8779\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/30 and 62\/(-465) + (8666\/660)\/7?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41962, -42010, -42058, -42106, -42154?\nAnswer: -42202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3210 + -3187. Solve 58 = -l*n - 80 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-52)\/(-20) + (-2)\/(-5). Suppose -2*u - 3*u + 7 = -3*i, -5*u = t*i - 13. Is (22\/(-2))\/(u\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 + h + 7. Let l(y) = -y - 1. Give -l(t) - r(t).\nAnswer: 5*t**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191*a**2 - 46*a - 7 wrt a.\nAnswer: 2382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.931 - 0.531. Which is the second biggest value? (a) f (b) 3 (c) 1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 865930 and 19983.\nAnswer: 2597790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 3046.\nAnswer: 27414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63340 is divided by 15828?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 225\/10*(-4)\/(-10)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(21) + sqrt(21)*-1 + sqrt(21)) + sqrt(21))\/(1*sqrt(300)) + 4)**2.\nAnswer: -16*sqrt(7)\/5 + 428\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2*l - l)*(-87*l**3 + 86*l**3 - 2*l**2 + 0*l - 7*l).\nAnswer: l**4 + 2*l**3 + 7*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5513 - -121229\/22. Calculate the common denominator of -25\/178 and b.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83939256 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r**3 - 4*r - 7*r + 8*r.\nAnswer: 3*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 214 + -209. Suppose -i*u + u + 12 = 0. Find y such that -3\/7*y**2 - 3\/7*y + 3\/7 + 3\/7*y**u = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-105)\/1)*-2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4829*32.\nAnswer: 154528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-6) - ((-5654)\/308 + 29).\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 11*h**2 - 5. Let p(b) = b**2 - 1. Let s(x) = -5*p(x) + y(x). Let u(q) = 2*q**2. Give s(u(k)).\nAnswer: 24*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r + 30. Let c be k(7). Is c >= 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chhch. Give prob of sequence hh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -992 + 996. Solve 3*o + o = 3*w - 17, o + 2*w = a for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24\/7 - -298\/91. Sort 5, 20, z, 0 in descending order.\nAnswer: 20, 5, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 0*x**2)*(-5*x - 2*x + 5*x)*(4 - 6 - 3).\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -526680 divided by 40\nAnswer: -13167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1352*u**3 + 26*u**2 - 136281*u?\nAnswer: 8112*u + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-4 - -2) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 91078329091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -224.9 - -225. What is the closest to 0.1 in -1\/10, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q + 2016. Let v(n) = -3426*n**2. Determine f(v(x)).\nAnswer: -23982*x**2 + 2016","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.089 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 15240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 5*q - 7. Calculate u(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -15) + -12 - -11 - (-1 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viiiivi. Give prob of picking 1 i and 2 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - g = -20, 2*y - 2*g - 2 = 6. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1971432*b**3 + 37 - 37 - 1971429*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*r - 53 + 97 - 44.\nAnswer: -43*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 243816414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 225275 + -20?\nAnswer: 225255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + -5. Put -1, b, -5 in descending order.\nAnswer: -1, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = -45*l + 10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24.71 (b) 4\/5 (c) 0 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4270, -3, 7, -41, 1 in ascending order.\nAnswer: -41, -3, 1, 7, 4270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-213*z - 399*z - 33*z)*(-1 - 8 - 5).\nAnswer: 9030*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 142, 1\/3, 1\/6, -9\/7, -4 in ascending order.\nAnswer: -4, -9\/7, 1\/6, 1\/3, 142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -412 + 187 + 223 + a**2 + 2776*a to l*a + u*a**2 + p and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-84)\/(-9) + 2\/3. Suppose o = q + q. Let g = 102 + -104. Put 1, g, q in increasing order.\nAnswer: g, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -304, 5, -44 in ascending order.\nAnswer: -304, -44, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 15 = 27. Let s be (16\/6)\/(x\/21). Solve 2*b + 4 = s*l, -3*b - 3 = 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyxxyy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*h = 3197, 3*s - 3*h - 3202 = -2*h. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -402*i - i**3 + 16 + 21*i**2 + 4 + 376*i. Let b be m(10). Suppose 8*a - b = -164. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101101011100111010001 (base 2) in base 15?\nAnswer: 4aca0d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 10*r + 2. Let c be z(-10). Suppose -5*q - 138 = -c*v, 3*v - 4*v = -5*q - 134. Let i = 123 + q. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 - 66*a - 67. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 304 + -259. List the prime factors of f\/(-25)*(11850\/(-9))\/5.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 825\/2 - 413. Let w = 3 + -2.7. Let f(p) = -p**2 - p + 2. Let g be f(2). What is the nearest to l in g, 2\/11, w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1323 - -424?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -11020?\nAnswer: 11029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -6. Suppose 5*l - 14 = -f, 3*f + 2*l = -0 - 10. Let y be f\/9 - (-1)\/1. Which is the closest to y? (a) -3 (b) -4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00271221 rounded to five dps?\nAnswer: -0.00271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11091 and 170062.\nAnswer: 510186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 2, -1\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4088 + 4?\nAnswer: -4084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1418368?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 377 - 221. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 6:06 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 6, i: 4, k: 1, b: 1}. Give prob of sequence ii.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/23650 and 79\/88?\nAnswer: 94600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5\/3 (b) -8\/79 (c) 690.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5895, -5891, -5887?\n\"Answer: 4*q - 5899","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 186 = 34. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-1 + 1 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11580 - -4?\nAnswer: 11584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (60*b - 83*b - 419*b)*(b + b - 4*b)*(-4 + 2 + 4) to the form c + a*b**2 + n*b and give a.\nAnswer: 1768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6101*h**3 - 79 - 8 - 3 + 3*h**4 - h - 2*h**4 + 6098*h**3 as s*h**4 + v*h**3 + a + f*h + x*h**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 63*n - 50. Let d(g) = -38*g + 25. Let z(l) = -5*d(l) - 3*x(l). Give z(-29).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 28. Suppose 0*h - 30 = g*h. Put h, 0, 1 in decreasing order.\nAnswer: 1, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - -30. Let s = u - 25. Does 6 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 - 44. Suppose -4*c = -14 - b. What is the remainder when (44\/(-10))\/((-1)\/5) is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 24*t + 97*t**2 - t - 10*t - 10*t.\nAnswer: 97*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let w be (z\/(-2))\/((-12)\/(-24)). Let g be (-17)\/(-1 - w - -1). Solve -g = -5*x + p, -8 = -2*x - 0*p + p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 3. Let n(r) be the third derivative of 0*r**4 + 0 + 1\/3*r**3 + 0*r - 2*r**2 - 1\/30*r**c. Let n(a) = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 10, e: 9}. Give prob of sequence ebb.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 19. Suppose 4*k - 12 = -4*v, 5*v - 12 = -37. Calculate c(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2104, 4277, 6450, 8623?\n\"Answer: 2173*d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**4*z**2 - 522454*o**3*z**3 + 79*o**2*z**3 + 11445*z wrt o?\nAnswer: -24*o*z**2 - 3134724*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t. Let w(m) = -2*m + 86. Give q(w(i)).\nAnswer: -14*i + 602","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9249, 18509, 27761, 37005?\n\"Answer: -4*q**2 + 9272*q - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yvvvryyyrvcrvycrr. Give prob of picking 1 v and 1 r.\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 307\/87407 or 0?\nAnswer: 307\/87407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88668960?\nAnswer: 2, 3, 5, 184727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/16 and 0 + (-1 - 185\/(-30)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 3, -395, -368, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -20*v**5 + 12*v**4 + 980*v**3 + 1812*v**2 - 1440*v = 0.\nAnswer: -5, -3, 0, 3\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 89.05826 litres?\nAnswer: 89058.26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7490 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i - m + 45, -30 = -2*i + 2*m. What is h in -i + 0*h**2 - 45*h + 43*h**3 + 35*h**4 - 25*h**2 + 2*h**3 = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 m, and 2 e when four letters picked without replacement from {m: 4, l: 4, e: 6, f: 4}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 152102 - -3?\nAnswer: 152105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**3\/3 + m**2\/2 + 5*m - 20. Let b(y) = 3*y. Let a be b(3). Let c = 13 - a. Give l(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010110 + -1?\nAnswer: -11010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 148644 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71065 decades in millennia?\nAnswer: 0.0371065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 925 + -923. Which is the fourth smallest value? (a) -0.08 (b) 1 (c) 5 (d) -4 (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*g**3 + 445*g**2 - 26*g**3 + 54*g**3 - 445*g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248, 1688, 5472, 12734, 24608, 42228, 66728?\nAnswer: 99242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + v**2 - 14*v + 48. Is 3 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28))\/(13\/7)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 223?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k. Let j(m) = -m + 1. Let g(s) = -8*s + 7. Let u(r) = 2*g(r) - 14*j(r). Determine u(f(w)).\nAnswer: -22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - n + 2. Let s(b) = 5*b + 2*b - 6 - 4*b - 13*b**2. Calculate -2*s(k) - 7*t(k).\nAnswer: -2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4285112, -4285114, -4285116, -4285118, -4285120?\n\"Answer: -2*p - 4285110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 3*x + 12. Let q(m) = m - 1. Let r = -4416 + 4422. Calculate r*q(j) + h(j).\nAnswer: -j**2 + 3*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*1)\/2 - 0. Let g(p) = 76*p - 1. Let o be g(1). Suppose o = -t + 82. Solve -16 = t*m - b*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1352\/(-2366) - -136*(-4)\/28?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-3 - -10) - (-22 - -22)) + 4.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 16. Let m = -23 + 14. Let r be (6\/(-5))\/(m\/30). Solve 5*w + 2*p + r = 0, p - 1 = j*w + 2*p for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15691 is divided by 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwgooogoggwgwwgw. Give prob of sequence wwwo.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pfa when three letters picked without replacement from {f: 1, j: 1, b: 2, p: 3, a: 7}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 189 - 183. Let w be (285*10)\/v - -2. What is the highest common divisor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 = 7*q - 83 - 2660. Solve 4*l + w = 9, -3*w + 196 = q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-3))\/(8\/(-12)). Suppose 2*n + 20 = o*z + 7*n, -4 = -z - 3*n. Solve 2*p = -2*p + z*y + 20, -5*p = 2*y - 18 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1519\/154 - 10)*(-362)\/(-543)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 3, -107 in descending order.\nAnswer: 3, -9, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 61.95. Let i = -0.05 - r. Sort 4, i, -5\/2.\nAnswer: -5\/2, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30314 divided by 21.\nAnswer: 30314\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*z + 4 = 15, -z = 5. Let j = -82 + 200. Suppose 0*i = -f*i + j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -4\/7*x**2 - 6\/7*x - 2\/7*x**5 + 8\/7*x**3 + 0 + 4\/7*x**4 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26897 is divided by 183?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -3*b - 154. Calculate the remainder when b is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(130\/52)\/((-6)\/(-4))\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152076 and 15143.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.31 - -6119.\nAnswer: 6117.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*w - 7 = 0, -3*w - 24 = 3*l - 9. Let m be (l\/(-8))\/((-94)\/24 - -4). Solve 3*z = 5*z + m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 45285259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(104) - sqrt(104)*-3*5))\/(sqrt(40)\/(1*sqrt(10)\/sqrt(2))).\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 25*j - 44. Calculate d(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4022198651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*b - 52 + 3*b - 2*b**3 - 52 + 4*b**3 with respect to b.\nAnswer: 6*b**2 + 63","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28386*c**3*m**4 - c**3*m**3*z + c**3*m + 67*c**3*z - 2*c**2*z + 38*c*m wrt m.\nAnswer: -340632*c**3*m**2 - 6*c**3*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*g + 249*g + 760 = 401*g for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:46 PM?\nAnswer: 9:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-4)*f**(-23)*f)**48)**(-6) assuming f is positive.\nAnswer: f**7200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695 divided by -565?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.639 - -0.831. Let g = 1210.07 + -1163.3. Let k = g - i. What is k rounded to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 39. Calculate k(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -1\/84*f**4 + 1\/420*f**6 + 0*f**3 + 0*f - 2*f**2 + 0 - 1\/210*f**5 + 1\/735*f**7. Factor l(d).\nAnswer: 2*d*(d - 1)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/130 + 77*v**4\/78 + v**3\/39 - 77*v**2\/13 - 2256*v. Factor q(n).\nAnswer: -2*(n - 77)*(n - 1)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 942 + -15990\/17. Find the common denominator of -145\/6 and u.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 141.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h when three letters picked without replacement from hhhhhhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/163 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 15*i - 20. Let p be m(6). What is the greatest common divisor of 10 and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -4, 5, -102, -3 in decreasing order.\nAnswer: 5, 3, -3, -4, -6, -102","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*((-22)\/(-6) - 2 - 1).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2370 + 2375. Which is the third biggest value? (a) s (b) -13 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 3\/(-6)*1*-28. Suppose t - 20 = -2*p, 100 = 5*t + 2*p + 2*p. Is t != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 1075 = -1243 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + 9 - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = c, 16 = -4*c - 4. Suppose 2*l - v*t = -2*t + 58, 5*l = 4*t + 142. Let r = -10 + 113. What is the remainder when r is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 1526*v + 5298. What is the hundreds digit of t(58)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 10 = -3*n - 2, 3 = 5*n - i. Suppose n = -3*l + 263 - 77. What is the remainder when l is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 3*i + 30 = 0, -2*h - 4759 = -3*i - 4774 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(117) - sqrt(117)*2)*-3)\/((6*sqrt(72) - sqrt(18))\/sqrt(2)).\nAnswer: 12*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1368852*x - 112176*x + 181402*x.\nAnswer: -1299626*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 333 + 339 = -4*u, -4*l - 24 = 5*u for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 = -1, 0 = -5*x - 5*n + 5. Find the third derivative of -32*o**2 - 12*o**2 - 10*o**3 + 7*o**6 + 6*o**x wrt o.\nAnswer: 840*o**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -4*m - q + 7, -2*q = 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -87*b - 139*b + 382*b + 382*b as j*b + z and give j.\nAnswer: 538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 7*k)*(-4*k + 0*k + 5*k) + ((-1 + 0 - 1)*(2*k - 5*k - 2*k) + (0 - 1 - 1)*(-4*k + 2*k + 4*k) - 3*k - 3*k + 4*k)*(5*k + 0*k + 22*k).\nAnswer: 115*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 214482 and 250229?\nAnswer: 1501374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12403.\nAnswer: 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 0. Suppose 5*h + 16 = u*v, 19 = h - 5*h - 3*v. Let g(z) = -2*z + 5. Calculate g(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2916*f + 2. Let a(x) = 2*x - 131. Calculate a(i(q)).\nAnswer: -5832*q - 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -246 + 248. Let g be ((-2)\/(-2))\/(-1 - -3). Which is the nearest to 2? (a) g (b) l (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 6*w**2 + w + 6. Determine u(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1309, 1307, 1305, 1303?\nAnswer: 1301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -21*k + 8\/7*k**2 + 2\/21*k**3 - 11 - 1\/42*k**4. Let f(z) be the first derivative of r(z). Factor f(p).\nAnswer: -2*(p - 4)*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1961*f**3*u - 399*f**3 + 4*f**2*u - 2*f**2 + f*u + 4055*f - 2 wrt f.\nAnswer: 11766*u - 2394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**5\/60 - 3*x**2. Let o(b) = 7*b**2 + 22. Let k(p) = f(p) + o(p). Differentiate k(c) with respect to c.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2280*i - 1327*i - 33193 + 2793 = 1273*i for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142428 and 19162?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (7 + 38 - 19).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*x = 30, -16 = -0*r - 3*r + 4*x. Suppose 3*c + 0*w - w - 10 = 0, 0 = 2*w + r. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = z - 2*u - 9, -2*z - 2*u + 8 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f + 11*f - 34*f + 13*f. Let n(x) be the first derivative of 2*x**3\/3 + 1. What is n(c(m))?\nAnswer: 18*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -89 + 1487. Let t = 447 - k. List the prime factors of t.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = m - 5*u, 3*m + u = 6. Suppose -m*b - 2*l = -2, 4*l = 3*b - 1 - 37. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 - 664868*l + 55256182178.\nAnswer: 2*(l - 166217)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -41*a**3 + 21*a**2 + 170*a + 10. What are the prime factors of c(-6)?\nAnswer: 2, 11, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -11*u**2 + 43*u + 4. Let q be z(4). Let d = 4 - 2. Factor -p + 0*p**d - 7*p + q + 4*p**2 - 12.\nAnswer: 4*(p - 3)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8935150 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -2 + 6 - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304)*1 + sqrt(304) - sqrt(304))*1)**2*2.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.2, 13, 0.3, -615?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -3. Calculate the smallest common multiple of k and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917221 is divided by 847?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17016838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*t - 4*a + 23, 2*a - 3 = -t. Let y = 13 + -8. Calculate the lowest common multiple of y and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h. Let g(w) = w + 6*w + w + 0*w. Calculate g(r(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 26*a - 118. Let f be g(30). What is the third derivative of -6*b + 6*b**3 + 1775 - 9*b**4 - 5*b - 3*b**f - 1775 wrt b?\nAnswer: -216*b + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f - f + 3*f)*(-544 + 965 + 567) to the form i + w*f and give w.\nAnswer: -1976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 63, 92 in ascending order.\nAnswer: -8, 63, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25888 and 80900.\nAnswer: 647200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9806882*j + 1528256 wrt j?\nAnswer: -9806882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -20\/45329?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119 in -3, 0.1, -98?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 9*m**2 - 13*m + 9. Let b be s(-7). Let w = -7 + 11. Find the second derivative of 8*q + w*q + 3*q**b - 5*q wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 22 = -5*t, 215*j - 22 = 2*t + 219*j for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58634748 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.8 in -1, 0.18, -4, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-196)\/(-8)*40\/(-4). Let o be 14\/(-6)*10\/j*-3. Which is the closest to 2? (a) -1\/5 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301705055 rounded to the nearest 100000?\nAnswer: -301700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 752659 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 2310947744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + 30 = -12*o. Let n = 18 - o. Factor 62 - x**2 - n*x - 10 + 3*x**2 + 46.\nAnswer: 2*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 12.54. Let v = r + -0.46000068. What is v rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/19? (a) -2 (b) 3\/64 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*f - 4, -5*f - u + 2 = u. Suppose -8 = 4*j, 8 = -h - 3*j - 4. Let x be ((-10)\/(-4))\/(h\/(-12)). Sort f, -5, x.\nAnswer: -5, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1173 + -1171. Suppose u*r = -2, r = m + 4*m - 11. Factor 22\/7*z**3 - 8\/7*z**m - 3\/7*z + 2\/7 + 5\/7*z**5 - 18\/7*z**4.\nAnswer: (z - 1)**4*(5*z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4*o - 10 = 0, 2*s - 5*o + 6 = -9. Suppose 0 = -5*n + s + 15. Suppose -5*i - 8 = -n*z - i, 0 = -z - 5*i + 8. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**4\/6 + c**3\/3 + c**2\/2 - 8*c. Calculate z(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*1.361\nAnswer: 0.5444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = -0*w. Let a(t) = 12*t - 5. Let l be a(-5). Let p = w - l. Calculate the remainder when p is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, 1\/4, -53, -2 in decreasing order.\nAnswer: 3, 1\/4, 0, -2, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 22 = -5*v, -3*v - 2*j - 2 = -v. What is the remainder when 30\/4*(-8)\/(-6) is divided by 40\/6 - v\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away -11829514271?\nAnswer: 11829514272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2493 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 1373923?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 14*q - 65 = 0. Calculate the least common multiple of 4\/6*(-1365)\/(-26) and q.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 + 51.9. Let k = z - -0.1. What is the biggest value in -3\/5, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.973291 centuries?\nAnswer: 0.4973291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (-1419)\/110)*1.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 858144 is divided by 428634?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-214)\/42 - (-114)\/1197.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 5:33 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - -0.6. Which is the nearest to z? (a) 1\/4 (b) 3\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -530, -479, 4 in decreasing order.\nAnswer: 4, -479, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*l**4 - 35*l**4 - 101*l**4)*(-4*l + l + 5*l) + (-3*l**5 - l**5 + 6*l**5)*(-2 + 1 + 0) - l**5 + 0 + 0.\nAnswer: -345*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 110. Let n(b) = 2*b**2 + 4*b + 2. Let s be n(-3). Suppose -16 - s = -2*w. Calculate the lowest common multiple of w and r.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**2 - 10*l - 109. Determine f(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26908\/1224314)\/(16\/26).\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 6*q - 5. Let o = 11.2 + -11. What is the closest to q in 4\/7, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -343107504 divided by 1616\nAnswer: -212319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*z + 1554, 2*z - 618 = -18*k + 19*k. Calculate the smallest common multiple of 4 and z.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c = j + 22, -4*j - 4 = -c. What is the second derivative of 204*n - 150*n + 17*n**3 - c*n**2 - 17*n**3 - 2*n**5 wrt n?\nAnswer: -40*n**3 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3968 + -0.39675881. What is w rounded to 6 dps?\nAnswer: 0.000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -13437 and 510 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 2*z**2 - 4*z)*(-z**2 + z**2 + z**2) + 3*z**4 + 9*z**4 - 4*z**4 in the form g*z**4 + y*z**2 + u*z + r + h*z**3 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -8. Suppose 4*d - t = 4. Let r be 0\/((-1 - -2)*-1). Sort r, d, 1 in increasing order.\nAnswer: r, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 3)\/1*-9. Calculate the highest common divisor of z and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 80 - 114. Let x = 56 - o. What is the greatest common divisor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0499406 grams to tonnes.\nAnswer: 0.0000000499406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 9. Let g(a) = a**2 + 5*a + 2. Give g(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -159 - -145.2. Let c = -14.8 - i. Sort c, 3\/8, 0.6 in descending order.\nAnswer: 0.6, 3\/8, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 11*b**2. Let t(v) = -10*v**2. Let n(c) = 5*t(c) + 4*w(c). Let f(j) = -7*j**2. What is n(f(u))?\nAnswer: -294*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16*l + 2*l + 13*l)*(2*l + 2*l**3 - 2*l) to f*l + w + k*l**2 + j*l**3 + d*l**4 and give d.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxkxxkrr. What is prob of picking 4 x?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -11, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 9, i: 10}. Give prob of sequence ii.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7971962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -19 + 211. What is the remainder when 127 is divided by ((-3)\/j*-2)\/(2\/104)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 11:55 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2086 and (-18)\/(-30)*(-2 + 7) + 1040?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.10043255 rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5612 (base 7) to base 15.\nAnswer: 8e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4250 - 4254. Put -1, p, 0.1 in increasing order.\nAnswer: p, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -91.9 - -92. Let z = -2.9 + 3. What is the closest to z in a, 0, 2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -264, -353, -422, -465, -476, -449?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -30 + 7 + f**2 - 10*f + 7*f. Let p be a(7). Suppose -p*h = t - 1138, 0*t = 2*h - 3*t - 462. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8760872 (base 9) to base 10\nAnswer: -4704950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 12:19 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 64348 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -75*823\nAnswer: -61725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 714, 14\/5, 3\/5 in decreasing order.\nAnswer: 714, 14\/5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 376245?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 1\/6, -0.2, -0.0781, 0.1, -15\/2?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 5. Let u be i(0). Suppose 62620983 = u*a - 74379017. What is a rounded to the nearest one million?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5590206 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 455137 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**5 - 56*s**2 + 56*s**2 + (s**5 - 7*s**5 + s**5)*(2 + 0 + 0).\nAnswer: -15*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 5*z**2 + 3*z**2)*(3*z**2 - 6 + 6) + 122*z**4 + 4506 - 4506.\nAnswer: 113*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753 + 266*v**2 + 4*v + 1512 - 759.\nAnswer: 266*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9922864*-4.\nAnswer: -39691456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (3 - (-3 - 17))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -70*r**2 + 4*r + 4. Let t(u) = 1761*u**2 - 102*u - 99. Let p(m) = -4*m**2 + m. Let b(s) = -3*p(s) - t(s). Calculate 4*b(h) - 99*d(h).\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330 = -20*y + 110 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -23.463957 and 0.5?\nAnswer: 23.963957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - c**3 + 3*c**2 + 2*c**2 - 5. Let b be t(5). Let f(d) = 8*d**2 + d - 1. Let w be f(1). Calculate the highest common divisor of b and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 906 - 906.00000693. Round p to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 118 = 2*f, -37*f - 5*s + 245 = -32*f. Is 60 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8140513 is divided by 1125?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 291*c**4\/5 - 3*c**3.\nAnswer: 3*c**3*(97*c - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9\/14 - 1\/7. Let r = -5.9 + 14.1. Let n = -4.2 + r. Which is the third smallest value? (a) n (b) -3\/7 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, 0.1, 2, 2\/7, -21, 0.4128?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - sqrt(99)*1*-3))\/(sqrt(63)\/(sqrt(7)*-2)).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30868*99.\nAnswer: 3055932","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Is 1232 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 - -84. What is the remainder when 220 is divided by m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (6\/27 - 69\/27). Let f = 2.7 + 2.3. Put f, -0.3, -2\/5, m in decreasing order.\nAnswer: f, m, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-9)\/(-4))\/((-116)\/(-232))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(209) - -2*sqrt(209)*2)*4*-2)\/((2*sqrt(176)\/sqrt(4))\/((sqrt(80)\/sqrt(2))\/sqrt(10))))**2*5.\nAnswer: 38000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (50 - -1)) + (-3494 - -3470).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 1\/5, -952, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25401*p - 25451*p = 1300 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 0*n**2 + 165\/4*n**4 + 0*n - 254 + 26*n**3. What is the third derivative of q(t) wrt t?\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 + 2*y**2 - y. Let l be r(1). Suppose -5*o = -l*o - 10. Let h = 14 - o. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.42 times 0.6?\nAnswer: 1.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22675129 rounded to two dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Solve -165*f - 5*a - 10 = -162*f, 0 = -a + 1 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 836 = 96*d + 2276 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 - 771586*q**2 - 49456*q - 27 wrt q?\nAnswer: -36*q**2 - 1543172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2. Let w(f) = f**2 + 1. Let q(x) = -t(x) + 2*w(x). Let h(y) = 8*y**2. Give q(h(o)).\nAnswer: 128*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -5*p**3\/2 - 23*p**2\/2 + 565*p + 2. Give w(-6).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3.5, -44, -3\/26?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 117*p**2. Let g(a) = 27*a - 22. Let t(m) = -5*m + 4. Let u(b) = b**2 + 18*b - 117. Let v be u(-23). Let s(y) = v*g(y) - 11*t(y). Calculate q(s(o)).\nAnswer: 117*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388070 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034016738 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 5*z + z to b*z + o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j. Let i(y) = y + 3. Let d(x) = -x + 2. Let u(p) = -3*d(p) + 2*i(p). What is u(o(l))?\nAnswer: 20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 495681342?\nAnswer: 991362684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 55 = 4*b, -4*b - 1 + 2 = 3*o. Suppose 4*p + 12 = o*p. Sort 5, 0, p in increasing order.\nAnswer: 0, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1863352, -1863338, -1863314, -1863274, -1863212, -1863122, -1862998?\n\"Answer: k**3 - k**2 + 10*k - 1863362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and 336.\nAnswer: 3696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -3, 2, -1\/4, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 107752176 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8 - 14\/3*m + 1\/3*m**3 + 1\/3*m**2 = 0.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48253427\/85 - 567694. Let m = -37\/17 + h. Calculate the common denominator of m and -52\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 190 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - 2) + 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3090 is divided by 1\/(-2) - 166*(-407)\/44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10542 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 bigger than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218731192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36204 = 4*w - 3*a - 18684, 3*a = -2*w + 27426. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 125*p**2*q + 137*p**2 + 2*p*q + 1 wrt q.\nAnswer: 125*p**2 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 228. Calculate the greatest common factor of 31 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 - -21. Sort 0.3, o, 4 in increasing order.\nAnswer: o, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-9 - 1 - -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (22 - 10 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 40\/(-43 - -45 - -3). Suppose 0 = 2*z - 4*h - 90 - 98, -349 = -4*z - h. Calculate the highest common factor of i and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1, 2\/15, -0.082, -5.37?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 52. Suppose 0 = 2*x - 3*i - j, 4*x + 4*i - 76 = -i. Is x a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 - 85. Let v = -259\/3 - -87. Factor -v*p**3 + 0 + 20\/9*p**w - 2\/3*p.\nAnswer: -2*p*(p - 3)*(3*p - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(1584) - (sqrt(1584) + sqrt(1584) + 2) - sqrt(1584)) + 5)**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 + -67. Let i = 128 + k. What is the third biggest value in 3, i, 0.01?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3284 = -3*k + 2*k. Let q = k - 2168. Suppose 3*p - q = 8781. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)*r*r**10\/r)**(8\/13) assuming r is positive.\nAnswer: r**(232\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1)*(-203)\/(-1218)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -705 + 37?\nAnswer: -646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from atqqq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001428440397 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 463952?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22681856903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 17. What is p(-4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/k**(-5))\/k*k)\/k)**(1\/6) assuming k is positive.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2 + 20*s + 44 = 0.\nAnswer: -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -27, -2915, -5 in descending order.\nAnswer: -5, -27, -33, -2915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 3, 1, 90?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -476 - -483. Let l be (91\/t)\/117 - 122\/(-9). Which is bigger: 15 or l?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 5*d**2 - 7*d + 8. Let y be o(6). Suppose 0 = -437*s - 585*s - 1447 + 425. Sort s, -3, 3, y.\nAnswer: -3, s, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1055*s + 19142 = -124*s - 30376 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-90*w**2 + 6*w - 6*w)*(w**2 - 2*w**2 + 2*w**2).\nAnswer: -90*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -2*v - 15. Let c = 2 + v. Suppose -c*t + 2 = -l - 26, -40 = -5*t + 5*l. Is t a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 40.24059t?\nAnswer: 40240590","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -5 + (-2 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2. Let j(f) be the first derivative of 0*f**3 + 0*f**2 - 3*f - 2 - 1\/6*f**4. Let i(p) be the first derivative of j(p). Give i(m(v)).\nAnswer: -8*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 4*q**2 - 2*q + 2. Let v be o(3). Suppose 2*j + 53 = v*k - 2*j, 5*j = 3*k - 37. Suppose 0 = -5*b + k + 6. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012110021100221202 - 10?\nAnswer: -1012110021100221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34213, 34257, 34301, 34345, 34389?\nAnswer: 34433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2214 and 1640.\nAnswer: 44280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66223867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3716134.13*-0.4\nAnswer: -1486453.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxmmxmxm. Give prob of sequence xxxm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35a (base 16) to base 8.\nAnswer: 1532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 3) to base 14\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**8\/112 - x**7\/14 + x**6\/20 + 2*x**5\/5 - 5712*x**2. Factor g(n).\nAnswer: 3*n**2*(n - 4)*(n - 2)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hw when two letters picked without replacement from ppwzhhwzwhwww?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - ((-7 - 10 - -8) + 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 387? (a) 2\/7 (b) -1\/11 (c) -15 (d) -902\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 465919793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, l: 11}. Give prob of sequence llkl.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3065912 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1050005*g + 1050002*g + 52*g**2 - 2*g**3 + 70*g**2 as c*g + d + p*g**2 + i*g**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 11. Let x(o) = -o**2 + 25*o + 7. Is x(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 8343 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/10 and 113\/350.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 3*g. Let u(y) = -y**3 + 4*y**2 - y. Let x be u(4). What is the smallest common multiple of k(-6) and 0*x\/(-8) - -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-52)\/(-130))\/((-456)\/(-120))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 180\/4546747?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5*d - 7148 = -7163, -4*q + 14 = d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19490 - 12888. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -15, 3*u + 18 = -9*x + 8*x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-352)\/(-48))\/((-4)\/(-18)). Suppose t - 4*k - 34 - d = 0, -3*t = -k - 168. List the prime factors of t.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of 11*p**4\/12 - 4*p. Let r(x) = -2*x**2 - 3*x + x + 2*x. What is r(k(s))?\nAnswer: -242*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-4 + -8 - 1) + -3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/2*8\/(-10). Suppose -k = -0*k + 56. Let d = -54 - k. Solve j*w + d*r + 4 = -0*w, 0 = 3*w - 4*r + 13 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4817 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3*(-6)\/18)\/(-1) + -96. Which is greater: -94 or a?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15\/14 - -103\/70. Let v = -0.011 - 3.989. Sort -2, v, j in ascending order.\nAnswer: v, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 5, -1115\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v**2 - 215*v + 208. Let c(t) = t**2 + 40*t - 42. Calculate 11*c(g) + 2*z(g).\nAnswer: -g**2 + 10*g - 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - m = -5*x + 5460903, 5460887 = 5*x + 4*m. Suppose 3659264 = 4*j - 4309452. Let a = x - j. What is a rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 370\/220 - (-6)\/(-4). Which is the third biggest value? (a) 4 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**3 - 12*s**2 + 26*s - 158. Let p be k(-29). Let q = -61221 - p. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1773 is divided by 576.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -133040 - -1023?\nAnswer: -132014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -20*f + 7*f + 15*f. Let q(b) = 2*b**2 - 4*b - 4. Let g(k) = k + 1. Let l(o) = -2*o + 7. Let t be l(3). Let v(x) = t*q(x) + 4*g(x). Determine v(m(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3108739.\nAnswer: 17, 182867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in seconds?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:01 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -227281094, -454562188, -681843282, -909124376, -1136405470?\n\"Answer: -227281094*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36544 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19345, -38454, -57563, -76672, -95781, -114890?\nAnswer: -133999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -16\/7 (b) -0.3 (c) -2\/11 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 17\/4 of a millimeter?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13126 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4\/9)*z**(-4\/7)*z**1\/(z\/z**(3\/5)) assuming z is positive.\nAnswer: z**(-131\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-1\/7))**(-3\/4))**(-48))**50 assuming f is positive.\nAnswer: f**(-1800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/123110 and -1\/149406296?\nAnswer: 747031480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28 + -110?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7404003 (base 8) to base 3\nAnswer: -10200222202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -735928 and -735927 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56275, -225007, -506227, -899935, -1406131, -2024815, -2755987?\n\"Answer: -56244*t**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 0 + sqrt(208) + 3 - (1*sqrt(1573) + 1)**2.\nAnswer: -1571 - 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -175*a**2 - 330*a - 10. Let l(i) = -173*i**2 - 330*i - 12. Let u(t) = -5*l(t) + 6*x(t). Find the second derivative of u(p) wrt p.\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/(-286)*12\/(-15).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**4 + m**3 - 1. Let r(o) = -9*o**4 + 10*o**3 + 119. Let s(z) = -2*h(z) - r(z). Differentiate s(v) wrt v.\nAnswer: 28*v**3 - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o. Let m be q(-3). Let u be 4 + 0 + -2 - 2. Suppose u = d - 3*d. Solve d*c = -4*c + m for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -862820 and 0.1.\nAnswer: -86282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -143604 or -143603?\nAnswer: -143604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28466941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-218)\/2507 - (-8021)\/(-598).\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.14 - 2.86. Let g = y - -3.4. Let d = -57 + 60. Which is the closest to 0.2? (a) d (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 681545428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p. Let x(s) be the second derivative of -s**5\/120 + s**3\/2 - 2*s. Let g(b) be the second derivative of x(b). What is g(i(w))?\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**5\/60 + q**4\/2 + 5*q**3\/6 - 5*q**2. What is the units digit of m(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - -1) + (67 - 119 - -64)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(4\/6)\/(-1). Suppose 2*g + 17 = -h - 4*h, x*g + 3*h + 7 = 0. Suppose 9*i + 36500000 = g*i. Round i to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2400 - -1432?\nAnswer: -413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -23*g + 5\/3*g**4 + 0*g**2 - 14*g**3 + 2. What is the second derivative of i(v) wrt v?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -28. Suppose d*j = 5*n - 12 - 5, 3*n = 3*j + 3. Let v = 143 - 133. Solve -v = 5*p + n for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 71\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56.58 + -56.38. Put 0.5, -0.1, n, 139, 4 in increasing order.\nAnswer: -0.1, n, 0.5, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*(5 - 0) - 2. Let j(g) = -g**3 - g**2 + 3*g + 8. Let c be j(-2). Suppose x*a - c = -0. Solve -4*d + 3*d + a = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of k**4\/8 + 27*k**2 - 2*k. Let p(q) = 2*q - 3*q + 0*q. Give h(p(t)).\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 49*n + 31*n + 30*n - 96*n + 4*n**3 - 2*n**2 + 3*n**4 as q*n + u*n**4 + i*n**2 + x + j*n**3 and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220147 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110100100 + -1011?\nAnswer: 110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 5:51 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.7221 rounded to 0 decimal places?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1895*k**2*u - 2*k*u**2*x + 5*u**2*x + 2*u**2 - 4*x with respect to k.\nAnswer: -3790*k*u - 2*u**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**24*k)\/(((k**22*k)\/k)\/k)*(k**2*k)**(-14) assuming k is positive.\nAnswer: k**(-85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.312 - 3.112. Let z = 0.1 - 1.1. Which is smaller: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 78 - 2 + 92 - 4 - 10 - 4*d**2.\nAnswer: -4*d**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 169413 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 472499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 321310?\nAnswer: -321301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2370345, -9481403, -21333167, -37925637?\nAnswer: -59258813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-21089)\/(-2))\/((-56)\/(-16) + -3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373844 divided by -4919?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/24*-4*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83300447, -166600888, -249901325, -333201758, -416502187, -499802612, -583103033?\nAnswer: -666403450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*v - 12, f - 2*f = -4*v - 12. Suppose 7 = y - 3*j - f, 3*y - 75 = 3*j. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a = 124*a + 700 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -101?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5032 (base 7) to base 8.\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -3 (b) -0.39 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-1 + 1 + r**2) + 3 - 3 + r**2 - 15*r**2 - 3 - 794*r + 794*r.\nAnswer: -16*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j**2*k + 850227*j**2 + 5*j*k - 2875671*j wrt j?\nAnswer: -10*k + 1700454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 5:16 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zu when two letters picked without replacement from {z: 7, u: 1, d: 3, t: 5, o: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038613417 - 0.01576409?\nAnswer: 0.022849327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.82 and -6.\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 28 = k, -70*u + 5*k = -62*u - 38 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -10. Let d = 11.8 - 15. Let r = -3.3 - d. Which is the second biggest value? (a) k (b) -3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 10.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-75 + 50 + 40 + (-4 + 2 + 0)*(1 - 1 - 1))*(-11*b**3 + 0*b**3 - 3*b**3) to the form n + t*b + o*b**3 + x*b**2 and give o.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5 = -g, -20*w + 17*w + 12 = 0. Let u(p) = -28*p - 110. What is the smallest common multiple of g and u(-5)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 3\/5, -2, 293\/2.\nAnswer: -2, 0.2, 3\/5, 293\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13\/(-52) + (-11)\/4. Let y = -3 + g. Let l(f) = -f**2 - 8*f - 9. Let i be l(y). Let u(t) = -t**2 + t + 1. Calculate u(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from oozsoqyoqyozoozqoso.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 9:06 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27883 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 111110000 (base 2) to base 14\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3260 = 9. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 36\/81*27\/6*2. Solve 4 = -6*c + v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -52 - -51. What is the third smallest value in -1\/4, i, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((26 - (16 - -14)) + 15 - 5) + 24 + -1.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 12:27 PM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 196856 to the nearest one thousand.\nAnswer: 197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65261 = 4*m - 5*z, -5*z = -19*m + 22*m - 48972. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 4*z + 2. Let w be h(-4). Suppose -w*t + 8 = 2*t. Find o such that 2*o**t + 15*o + 6 - 2*o**2 - 21*o**2 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39)\/(sqrt(18)\/(sqrt(12)\/sqrt(2))))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -152 or 4?\nAnswer: -152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(363))**2 + -4 + (-3*sqrt(3))**2 + -5 + 5 + -4 + -1.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**3 + 10*v**3 - v**5 + 4404*v + 4*v**4 - 36*v**2 - 4593*v.\nAnswer: -v*(v - 7)*(v - 3)*(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuwuuwuwwuwwu. What is prob of picking 3 u and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 - -0.4. Let k = -2\/61 - -136\/427. Let w be (1 - 5 - -4)\/1. Which is the closest to w? (a) -2 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**2*m**4 - 2*i**2*m**2 + 2*i**2 + 39*i*m**4 - 795 wrt m?\nAnswer: 96*i**2*m + 936*i*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 8332209*w**3 + 7821*w**2 + 7821*w + 15642. Let z(i) = -2131*i**3 - 2*i**2 - 2*i - 4. Calculate -2*y(d) - 7821*z(d).\nAnswer: 2133*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1704*0.00331.\nAnswer: 5.64024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 902 and 3854?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -102b (base 13) to base 10\nAnswer: -2234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k = 10*k + 24. Suppose 4*y = k - 8. Let i = 68 - y. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = z - 2 - 0, -3*z - 9 = 0. Solve -q = 2 - k for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 772 and 9374010?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -763 + 789. Calculate the least common multiple of t and 165.\nAnswer: 4290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - s - 6, 4*x + 3*s + 12 = -2*s. Let a(d) = 4 - 8*d**2 + 0*d**x - 3*d + 7*d**2 - 2*d**2. Give a(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a + 5*a**2 + 18*a)*(2 + 2 - 6)*(2 + a - 2).\nAnswer: -10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a litre in millilitres?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(77) + sqrt(77)) - sqrt(77))*-3*-6)\/(6*sqrt(847)*2 + 1*sqrt(847)*6).\nAnswer: 5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 8*v**2 - 49*v + 26. Let m be k(12). Suppose -a = -j + 750, -16*j + m*j - 4*a = -1518. List the prime factors of j.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 14 = 3*s - 0*t, -5*s - 10 = 5*t. Let v(g) = -209*g**2 - 3*g - 200*g**2 + 410*g**2. Give v(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*n**2*p + n**2 - 164*n*p - 1395317*p wrt n.\nAnswer: 4*n*p + 2*n - 164*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6221*a + 882*a + 48513*a.\nAnswer: 43174*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r - r. Let j(m) = -m**2 - m + 2. Let q be j(-2). Suppose q*y - 8 = -4*y - k, -2*y - k + 2 = 0. Solve y*c + 22 = 5*h, 2*h - r = -5*c + 10 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v + 5. Let i be q(-3). Which is the third smallest value? (a) i (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -78508 - 43?\nAnswer: -78550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1839d7 - -28?\nAnswer: -1839ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-182)\/(-6))\/((-1)\/(-3)). Let k be (-672)\/(-26) + 14\/p. Calculate the highest common factor of k and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 967?\nAnswer: 2\/967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -11. Suppose 4*u - 15 - 9 = 0. Suppose -4*n = -3*n - u. Calculate the smallest common multiple of n and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (345 - 341) + (0 - (5 + -16)) + 87.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 0, 64, -5, 3 in decreasing order.\nAnswer: 64, 4, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/u**3)\/(u*u*(u*u**1*u)\/u*u))\/((u\/(u**(-1\/8)\/u))\/u*u\/((u\/(u*u\/((u*u\/u**(-2\/5))\/u)*u*u)*u)\/u)))**(5\/8))**(10\/3) assuming u is positive.\nAnswer: u**(-715\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 55a44 (base 11) to base 8\nAnswer: 236336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, v: 9, s: 2}. Give prob of picking 2 v and 2 z.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*(-48)\/40. Let g be 4\/(60\/d) + (-188)\/(-10). What is the highest common factor of 437 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-192)\/18)\/16)\/(8\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + -0.84727?\nAnswer: -0.34727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 22 - o + 10)*(-4 + 3 - 8 + (-2 + 0 + 1)*(4 - 4 + 1)) to v*o + g and give g.\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83011, -12, 52.\nAnswer: -12, 52, 83011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y**3 + 11*y**2 - 65. Let a(z) = 2*z**3 + 11*z**2 - 65. Suppose m + 0 = 2, 3*n - 2*m = -13. Let l(x) = n*r(x) + 4*a(x). Differentiate l(v) wrt v.\nAnswer: -3*v**2 + 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3\/8, -0.8, 1, 0.5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 32*h = 0. Which is greater: 1\/2212 or h?\nAnswer: 1\/2212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 106 + 13?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1057 divided by 151\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 11:21 AM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4052, -8117, -12178, -16235?\nAnswer: -20288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*j**2 - 46*j**2 - 2*j + 304 - 143 - 161 to l*j + y*j**2 + m and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7195595, 7195591, 7195587, 7195583, 7195579, 7195575?\n\"Answer: -4*u + 7195599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/40 and 13\/37320138.\nAnswer: 746402760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -0.2038.\nAnswer: -0.046874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 288*p - 866. Give a(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3723982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.53 + -12.528809. Round m to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*c + 19 - 129 = -116*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 32*k - 756 = 0. Let q be (-27)\/k + (-2)\/(-8). Let w = 0.4 + -2.4. What is the third biggest value in w, q, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 15, -3*n = -2*n - c - 19. Calculate the lowest common multiple of n and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine fifths of a minute?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 183. Let l be (j - 0)\/((-3)\/12030 + 0). What is l rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -822\/49 > -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 78, 172, 294, 438, 598, 768?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377974 to the power of 1\/3, to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/14 + (-3792)\/1659.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 15*y - 16*y = -4, -3*a - 2*y = -9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282*(-4)\/(-8)*1 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/5)\/(7*8\/280). Suppose -4*s - 194 = -g*a + 186, -595 = -5*a - s. Is 6 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3059 = -4*k + 153. Let j = -478 + k. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2737732934 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/20 - z**4\/12 + z. Let i be x(-2). Solve 0 = -i*r + q - 12, 4*q - 6 = 4*r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 392\/7*(-8 - 1518\/(-184)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 15, o: 3}?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (88 - (184 + -73)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 166 = -0*i + 4*i - 5*l, 0 = i - l - 42. Let c = -4 + i. Let x = c - 690. Round x to the nearest 100.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v*v)\/((v*v**(3\/7))\/v))\/(v**(-1)*v*v)**(8\/3)*v**(1\/4)*v*v**(-2\/23)*v*(v\/(v*v**(-1)))**(-1\/29) assuming v is positive.\nAnswer: v**(1867\/56028)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-one fifths of a millennium?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-74)\/3*-3)\/1. Suppose -j = -2*u - 0*u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 164 and 1558.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277530 is divided by 712?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(288) - (sqrt(288) + (sqrt(288) - (-1 + sqrt(288) + sqrt(288))) + sqrt(288)))*3 - sqrt(288)) + -1)**2.\nAnswer: 96*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21518?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**5 + 4448*k**4 - 1245392*k**3 + 4910656*k**2 = 0.\nAnswer: 0, 4, 554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1724656068 to the nearest integer?\nAnswer: 41529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 86157527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*i = -81*i + 4*j - 37, -j = -8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7414912247.\nAnswer: 23, 322387489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yeevvevvyvvuu. What is prob of sequence uyeu?\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 + 1. Let i = -916 + 916. What is the smallest value in y, i, -2\/5, 0.4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifteen quarters of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3024153 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4352 and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -382, -370, -370, -388, -430, -502?\n\"Answer: -v**3 + 19*v - 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + i**2 - 2*i**2 - i**2 - 3 in the form k + o*i**2 + j*i and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.16118933 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-186484)\/(-92) - 35)*((-234)\/(-4))\/3?\nAnswer: 2, 3, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 11*n**2 - 10*n - 5. Calculate g(9).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3008\/(-47))\/(-704))\/(-1).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25220102 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**7\/112 + o**6\/16 + 21*o**5\/160 - 5*o**4\/32 - 3*o**3\/8 - 2*o - 114. Find m, given that b(m) = 0.\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + -2302?\nAnswer: -2303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 c when two letters picked without replacement from ljjxjijxijjc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/4 + 105*v**3\/4 + 2549*v**2\/2 - 36618*v + 168480 = 0. Calculate v.\nAnswer: -52, 6, 16, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 167*t + 22. Let z(m) = 177*m + 23. Determine 3*g(f) - 4*z(f).\nAnswer: -207*f - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, -3, 12, 4 in decreasing order.\nAnswer: 12, 4, -0.24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 1\/2*y**3 + 1\/6*y**4 + 0*y + 1\/60*y**5 + 0 - 31*y**2. What is a(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -12*d**3 - 5*d**2 + 2*d + 3. Give i(-2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022091686 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -11*a**3 - 74*a**2 - 3*a - 66. Give t(-4).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 89\/256?\nAnswer: 89\/256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f + 10 = 0. Suppose -58 - 2 = -f*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 506 - 506.2. Is i at least 292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = s - 170. Suppose -s = 5*y + 263. What are the prime factors of y\/2*(-33)\/22?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 998353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5*(sqrt(1900) + -5)**2.\nAnswer: -9624 + 500*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5527 is divided by 1781?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n**(3\/2)*n*n**(1\/4))**17\/(((n**(-2\/3)*n)\/n)\/(n*n**(7\/4)))**(19\/4) assuming n is positive.\nAnswer: n**(5471\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/190 and -39\/35980.\nAnswer: 683620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h\/(h\/h**5)*h)\/h*h))\/h)\/h**9*h**0\/(h*h**(-2\/21)) assuming h is positive.\nAnswer: h**(-334\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 3. Suppose -m + h = -3*g, 0 = -g + 6*g + 20. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in -0.9, 34, -5, 3, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -357 divided by -7\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w + 15. Solve w*k = -4 + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(9 - 2 + 16 + 2*r).\nAnswer: 2*r + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33877781 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.7 - 2.7. Let w = -16 - -16.1. Let j = w - 4.1. Which is the biggest value? (a) q (b) j (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8*g + g**2 - 379 + 380 - 13*g. Let j(h) = -2*h**2 + 6*h - 2. Give -4*j(i) - 5*p(i).\nAnswer: 3*i**2 + i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 43. Let t(f) = -2*f**3 - 6*f**2 + 2*f + 6. Let g be t(-3). Suppose 0 = 4*r - 6*r + 22. What is the remainder when l(g) is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19099603 is divided by 82.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 52.1, 7231?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 7*t + 30. Let g be u(10). Suppose g = 4*m + 3*j - 33, 2*m + m - 56 = 4*j. What is the highest common divisor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6943 + 6943. Sort -9, -22, b in descending order.\nAnswer: b, -9, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o. Let d(i) = 7*i - 4. Let v(a) = -6 + 31278*a + 31290*a - 62561*a. Suppose 3*h - 5 - 1 = 0. Let q(x) = h*v(x) - 3*d(x). What is m(q(j))?\nAnswer: 35*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 48661847 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**2 - 213*f - 3290. Determine p(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (365 - l**2 - 3*l + 0*l - 345)*(-3*l**2 + 3*l - 3*l).\nAnswer: 3*l**4 + 9*l**3 - 60*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r - 3. Let j(i) = -62*i - 152. Let l(f) = -3*a(f) + j(f). Give l(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 + -69. Suppose -2*s = -142 - a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 469*g - 476*g = 5579. Let n = -792 - g. Solve 9*l + 8 = n*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of h**3\/4 - 729*h**2\/8 + 5749. Let j(g) = 0. What is g?\nAnswer: 0, 243","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5528*u + 1 - 5522*u - 3. Give y(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 1024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1010422 (base 5) to base 4\nAnswer: -3333222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + 5*d - 4*d - 10*d - 2*d - 2*d - 2*d + d + 0*d + (-1 - d + 1)*(-4 + 3 - 1) + 1 - 1 + d.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5630*d - 5636*d + 33 = -87 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 11387.\nAnswer: 11387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -7590186\/11 and -690016 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/40 and -17\/37255870.\nAnswer: 149023480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, c: 2, y: 2}. Give prob of sequence llyl.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/9)\/q)\/(q*q**0))\/(q*q**(-2))**(-1\/25))**(-38) assuming q is positive.\nAnswer: q**(15542\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-1 - 2 - 9) + 3 + -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.273, 0.02, 0.2, -81, -1\/4?\nAnswer: -0.273","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3*y + 2 = 0, 3*t - 6 = 7*t + y for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -26.6048\nAnswer: -1064.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*k*p*q - 133418*i*k*q + 16*i*q + 45*i + 37*k*q + p*q - 488*q + 9 with respect to k.\nAnswer: -i*p*q - 133418*i*q + 37*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 l when three letters picked without replacement from gmlighwh.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qg when two letters picked without replacement from jnngkkkgnjjnqegjk?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 331398 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 13?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*w - 5. What is the second biggest value in w, 3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 102 = -3*w, -3*i - 5 = -2*w - 66. Let k = i - 2. What is the tens digit of k*1 + 36\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.6. Let a = -1.8 - -6.8. Sort -1, a, 0.5, y in descending order.\nAnswer: a, 0.5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6976 and 4.\nAnswer: 27904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 0 - 2*g**3 + 1 + 8*g + g**3 - 5*g**2. Let l = 350828 - 350834. What is r(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -3, -4, -0.46, 5?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3)*f**6*f)\/(f**(-2\/9)*f*f*f**(1\/5)*f))**(-5\/12) assuming f is positive.\nAnswer: f**(-23\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 126*s + 448. Let g be r(-9). Let z = g - -682. Let u = 0 - -4. Sort z, -2, u, -5 in ascending order.\nAnswer: -5, z, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 6:05 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+0.24536474954235\nAnswer: 0.34536474954235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 99*r**2 + 174*r - 2751. Determine m(-101).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - 0.96. Let z = 0.046 + 0.254. Which is the third smallest value? (a) z (b) 5 (c) -2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5\/459 - 148\/459. Which is the closest to -3\/8? (a) o (b) 5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*z, 4*w = -w + 4*z + 26. Let g(f) = 3*f + 2 - 3 - 2*f + w. Give g(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 6 = 3*k, -y = -5*k - 26 + 10. Sort 2, -27, k, -1 in ascending order.\nAnswer: -27, k, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-21)\/9)*24\/18 - -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(sqrt(10) - sqrt(250) - sqrt(10)))\/(sqrt(6) - (sqrt(96) - sqrt(96)*1)).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -65 - -109. Suppose -8*a + i = 2*l - 4*a, -25 = -l - 3*a. What is the remainder when 47 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32848, -65687, -98522, -131353?\nAnswer: -164180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 4*l**2 + 8*l + 12. Determine q(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**5 + 4*p - 4*p + 1669*p**5 + 4*p - 3*p - 1660*p**5 - 2*p**2 + (2*p**2 - p**5 - 2*p**2)*(1 + 0 - 2).\nAnswer: 8*p**5 - 2*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 248*h**2 + 1521*h + 4. What is u(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12\/11, 2\/3, 0.0101.\nAnswer: -12\/11, 0.0101, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24.1 - -24. Put 4, k, -12 in ascending order.\nAnswer: -12, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4 + 3 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 - 24. Let w = b - 5. Solve -9 = -0*p - 3*p, w = 4*x - 5*p + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -468000 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -60*k - 71*k + 10*k + 2*k**2 - 28*k in the form b*k + w + i*k**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**4\/5 - 21*u**3\/5 + 36*u**2\/5 + 12*u\/5 - 48\/5 = 0. Calculate u.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*c**4 - 4956*c**3 + 10408*c**2 - 5628*c + 256 = 0. What is c?\nAnswer: -64, 1\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*g + 5 + 7, -a = g. What is the second derivative of i**5 - 9*i**3 - 3*i + 9*i**g wrt i?\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2022659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/sqrt(275))\/sqrt(6) - sqrt(33)\/(sqrt(11) - ((-1*sqrt(66))\/sqrt(6) + sqrt(11))).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23617469 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -22*u - 6*u. Solve -6 = -u*g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 - 6*s. Let l(u) = 20*u**2 - 110*u. Let t(h) = 6*l(h) - 110*r(h). Let d(x) be the third derivative of -x**5\/20 + 15*x**2. Give d(t(b)).\nAnswer: -300*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 8 + 3076*i - 2*i**4 + i**2 - 1671*i - 1566*i as u + a*i + r*i**4 + k*i**3 + f*i**2 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38*f**4 + 152*f**2 wrt f?\nAnswer: 912*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -7\/14331 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23)\/31395*21*5?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/6*((-714)\/28)\/17. Solve 0 = -2*a - h*i - 29, -8 = -2*a + 3*i - 13 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 21*p**2 - 23*p + 25. Let b be n(22). Suppose -5*v + 6 = -b*l + 18, 4*v - 20 = -5*l. Solve v - 5 = z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**4\/24 - p**3\/6 + 2*p**2. Let g = -3 - -3. Suppose -4*o - 7 - 1 = g. Calculate i(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 174*u + 1398 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 242*f**3 + f**2 + 8*f - 8. Let z be w(1). Suppose -m + 0*m - 17 = -5*l, 0 = -3*l + m + 9. Suppose -l*a + z = 23. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1788\/5 + -359. What is the common denominator of 29\/11 and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -33 - 57. Let m = u - -44. Calculate the least common multiple of 16 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2856322923 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 34, 63, 108, 175, 270?\n\"Answer: d**3 - d**2 + 15*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*i**3 + 34*i**3 + 130*i**3 + 7*i**3.\nAnswer: 139*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 times -2616575\nAnswer: -78497.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)*2 + -6*2*sqrt(13) + 2.\nAnswer: -8*sqrt(13) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**2 - 2\/3*c**3 + 0 - 9*c + 1\/12*c**4. What is f(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 437 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 1. Let o be w(3). Let j = 0 - o. Is j\/35 - 435\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6*14 - 2. Suppose y*b = 156 + 314. Suppose -6*p - 100 = -8*p. What is the remainder when b is divided by p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6 - -2)\/(3906\/4557 - 86\/84)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = 15*y - 2013. Does 33 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of d**4\/24 + 11*d**3\/6 + 39*d**2\/2 - 43. Let m(a) be the second derivative of k(a). Let b = 23 - 33. What is m(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273322421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) 111361 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (102 - (330 - 346)) + (-1 - -1 - 12).\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -157 - -512?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10758 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a year in months?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 13*w**3 - 259*w**2 - 20*w + 6. Calculate c(20).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-26) - (-1828)\/(-52). Let l = y - -37. Suppose l*o - 4*o + 119 = 5*c, -c - 2*o + 27 = 0. Is 3 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 7 (b) 10 (c) 0.1 (d) -4 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1047 and -0.2?\nAnswer: 1046.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1914 is divided by 952.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/312*1\/(-6)*-8?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 - o + 5. Is 14 a factor of r(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(2 - (-365)\/(-175)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/5 of a kilogram in grams?\nAnswer: 3800","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 15999415 take away -0.34?\nAnswer: 15999415.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*r - 58778402 - 75601932, 0 = -r + 2*q + 33595071. Let x = r - 66835081. What is x rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*x + 8120482 + 6669948. What is x rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 4*j**2. Let g be l(-4). Suppose 0 = 3*f - g*f + 6, -3 = 5*i + 4*f. What is the remainder when 1 is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -36, -39, -44, -51, -60, -71?\n\"Answer: -t**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**4 + a**4 + 0*a**4 + (-32 + 32 + 2*a**2)*(-2*a + 2*a + 3*a**2))*(206 - 206 + 34*a).\nAnswer: 408*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1056\/(-80))\/(-22)*(-1 - 14)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/((-105)\/(39690\/(-56)))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-7))\/4*14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 + n**2 - 3*n**2)*(-4*n + 0*n + 2*n) + 264*n**2 - 1477*n**3 + 551*n**2 - 813*n**2.\nAnswer: -1481*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3*u**4 + u**3\/3 - u**2\/2 - 42. Calculate a(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.6 - 4.5. Let q = -1.8 - p. Let m = 8\/3 + -29\/12. Which is the closest to m? (a) 5 (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 562, 555, 550, 547, 546, 547, 550?\n\"Answer: g**2 - 10*g + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -5 + 25 + -27?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107637, 18, 2 in descending order.\nAnswer: 107637, 18, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 2*c**3\/3 + 3*c**2\/2 - 2*c + 1092. Let m(b) = -12*b**2 - 19*b + 13. Calculate -39*f(q) - 6*m(q).\nAnswer: -6*q**2 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q = -4*s + 4*q + 8, -2*q + 17 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(1539) + -1 + sqrt(1539)))**2 + ((2*sqrt(475))**2 - 3*(1 + sqrt(19))))*6.\nAnswer: -3474*sqrt(19) + 602454","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 754 - -275?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(((-1*sqrt(847) + sqrt(847))*-5*3 - (-4*(sqrt(847) + 0) - 2*sqrt(847)*-2)) + -5)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-1 - 1 + 3)*(3 - 1 - 4)*(-27*o**3 + 39*o**3 + 92*o**3).\nAnswer: 208*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-643)\/(-3))\/(14\/42)?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(-9)\/s)*s**5\/s)\/(s**2\/(s**(-2\/21)*s)) assuming s is positive.\nAnswer: s**(292\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.54 + -1796.568?\nAnswer: -1701.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120) - -2*sqrt(120))\/sqrt(2))\/(sqrt(1452) - sqrt(1452)*3) + -3.\nAnswer: -3 - 3*sqrt(5)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111 (base 2) in base 8?\nAnswer: -137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*x + 29 = 4, -5*q - 4*x + 10 = 0. Let z(i) = -3*i. Let v(f) = -7*f. Give q*v(r) + 5*z(r).\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -733 divided by 394?\nAnswer: -733\/394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-11)\/22)\/((-11)\/(-44)). Suppose -6 = -4*p + 2*u, -2*p + 22 = p + 2*u. Sort f, p, 14 in descending order.\nAnswer: 14, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.3 * -58865\nAnswer: 194254.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -104 - -103.99873. Round c to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 1 = t. Let o be (-9)\/6 + (-30)\/t. Which is smaller: o or -20\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21994192 and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.409826 kilograms?\nAnswer: 0.001409826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - i + 63. Calculate z(0).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*p = -83*p - 240. Let k(s) = 5*s**2 + s - 11. What is the remainder when k(5) is divided by p?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.509 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -3*k + k**2 + k**2 - 3*k**2 - 3. Determine b(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*b + 83 = 12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.17326ml in litres?\nAnswer: 0.08617326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 261111*i**2 - 555225?\nAnswer: 522222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.58 and 58448577.\nAnswer: 58448576.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2500130 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: 0.7 times -46.84057\nAnswer: -32.788399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 0*h + 3 + 3*h - 2*h**2 + (8 + 2*h - 8)*(2*h - 3*h - h) in the form r*h**2 + j + l*h and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 205017219 and 990?\nAnswer: 2050172190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-0.4.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by -1?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1912 is divided by 597?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*(v\/(v*v\/v**(-6\/13)))\/v)*v*v**(-3\/8)*(v**4*v)\/(v\/v**3) assuming v is positive.\nAnswer: v**(1049\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1434 + -1014?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + a**3 + 0*a**3 + (15790*a + 2*a**2 - 15790*a + 226 + 102)*(-5*a - a + 5*a).\nAnswer: -6*a**3 - 328*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f + 12 = 0. Let s be f + 1\/(-1) + 0. Suppose 0 = 5*g + 5, -3*g = -3*m + 6 + 6. Sort s, -3, m in decreasing order.\nAnswer: m, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1443000 (base 6) to base 5.\nAnswer: -10133332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6121862 to the nearest integer?\nAnswer: 2474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n**(-2\/15)\/n)*n*n\/n**7*n*n*(n\/(n\/n**(-7)*n))\/n*n**1 assuming n is positive.\nAnswer: n**(-133\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.9 + 29. Let u = n + -0.1. Sort 2, 5, u in decreasing order.\nAnswer: 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (43 - 25) + 14 - -45 - 21?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 164 - 161. Suppose a*n + 11 = -h, 7*h - 2*h - 40 = 4*n. Solve 11 = -4*v + j, 2*v = 6*v + h*j - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(-11*(-50)\/330)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5271060242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 11. Let l(q) = -q - 12. Let n(a) = -6*l(a) - 7*m(a). Let z be n(-5). Solve z = -r + 6*r - 20 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 57*t - 3. Let z(u) = 170*u - 10. Let y = -208 - -210. Let n(g) = y*z(g) - 7*b(g). What is the first derivative of n(i) wrt i?\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 196323497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h. Suppose -3*s - 3*c = -39, 4*c - 25 = -s - h*c. Calculate the highest common divisor of s and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 26604416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-4\/9))\/g*g)\/(g**(3\/4)\/g))**(-1\/8)\/(g**(-2\/3)\/g**(3\/4)*(((g*g**(-3\/2))\/g)\/g)\/g*g*g**(-2\/5)) assuming g is positive.\nAnswer: g**(6071\/1440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:01 PM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3637 + 21823\/6. Let w = 3 + -2. Let x be 2*1\/(0 - w). Which is the closest to x? (a) 1\/2 (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*j + 0*j + 2*j)*(10 + 0*j + 7*j - 11).\nAnswer: -56*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, 2, 4, -2 in ascending order.\nAnswer: -2, 2, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/9207703 and -49\/55246218.\nAnswer: 55246218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = o + b, 2*o - 173 = -o + 5*b. Suppose -o*t = -60*t + 52. Solve -g = r + 3, -2*r + 6*g = g + t for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 3:13 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1219513 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*j - 2408 - 1665, -5*h + 5 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*8\/(-9) - (-189)\/81?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p = 10583 - 76958. Suppose -w = -3*s - s - 659, 0 = 4*w + 3*s - p. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107056*q = 106700*q + 11748 for q.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence avau when four letters picked without replacement from uvvbvbvbabbvvauvabv.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 12 = 2*m, -4*d + m = -0*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 2 = 4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 + -33848.\nAnswer: -33849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 69754.3 + -66844. What is m rounded to the nearest ten?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -6*u**5 - 184*u**4 + 282*u**3 + 844*u**2 + 384*u = 0.\nAnswer: -32, -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*o + 230 = 395*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (2 + -4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432))**2 + (sqrt(768) + -2)**2 + (-2 + sqrt(432) + sqrt(432) + -5 + sqrt(432)*-1 + -2)**2.\nAnswer: -352*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 248 and 32.\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-6))\/(8\/144). Let f be 20\/8 + (-3)\/g. Let v(k) = 6*k + 6. What is the units digit of v(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dis when three letters picked without replacement from {i: 3, m: 4, u: 1, s: 6, d: 2}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 15 = 16*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-12 + 5 - 8)*(2*t + 1 + 2 - 4).\nAnswer: 30*t - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1120012011 + 1?\nAnswer: -1120012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e8 + e?\nAnswer: -d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2 + 2 - c. Let q(u) = -4*u + 8. Let h(s) = -5*n(s) + q(s). What is the units digit of h(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 319, 320, 321, 322, 323?\nAnswer: 324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-4)*40\/(-30).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 + 45586*j\/13 - 14427024\/13.\nAnswer: -2*(j - 22472)*(j - 321)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29488 - -3375.50512. Round i to the nearest ten.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6566727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28071, -56072, -83943, -111618, -139031, -166116?\nAnswer: -192807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 7. Suppose 0 = -146*j - 67*j + 20 - 233. What is the closest to -1 in j, 2\/25, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 0, -16, -36, -60, -88?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*i + 24*i - 46*i in the form l + h*i and give h.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2443 (base 9) in base 7?\nAnswer: -5211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3338 * 3.\nAnswer: 10014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 14*w + 12.\nAnswer: 2*(w - 2)*(w - 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (628641\/(-3582))\/(((-27)\/6)\/3)\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 4)\/(22 - 21). Solve p - d*n + n = -12, -3*n = 4*p + 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2*w + 26 = 0, j - 7*w + 2*w = -32. Let m = j - -23. Which is greater: m or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d - 10 = 0. Let f be ((-1)\/d)\/(3\/(-9)). Let 3\/2*z**2 + 1\/2 - 1\/2*z**3 - f*z = 0. What is z?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*(x\/(x\/x**1))\/x*x))**(-36)\/((x\/((x*x**4)\/x*x*x))\/(x\/x**(-9\/5)))*((x*x**(-4)*x)\/(x\/x**(-3\/16)))**9 assuming x is positive.\nAnswer: x**(1209\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**8\/672 - 2*j**2. Factor v(t).\nAnswer: -t**5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l. Let z be v(-8). Suppose -h = -5*h - z, -2*h + 8 = 3*q. Suppose -q*j - 22 = -5*p + 152, 2*p - 64 = 3*j. What are the prime factors of p?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 2*t - 29, -5*t - 45 = 5*h. Let w = 32 + h. Let m = 2 + 1. What is the highest common factor of m and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(14) + sqrt(14)*-1*-3)\/(sqrt(28)\/(2*sqrt(4))))**2.\nAnswer: 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-150)\/(-6))*18\/15*615\/2583\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from {h: 3, r: 3, l: 1, y: 7, k: 1, v: 3}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 37870836372 + 2?\nAnswer: 37870836374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41280593?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100101010101 (base 2) to base 7.\nAnswer: 24623","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 317195 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:40 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-286537.81\nAnswer: 57307.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 36 = -7*d. Let g be (2 - (-96)\/10) + d\/(-15). Suppose g*n = 9*n + 7959. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 298.899 + -300. Let g = -0.199 + v. Suppose -3*m = -2*m - 2. Which is the nearest to -2\/7? (a) 4 (b) g (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**(-2\/77)\/((i\/((i*i*i**3)\/i))\/i*i**5\/i) assuming i is positive.\nAnswer: i**(1\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 11*m**3 + 10432*m**2 + 12 - 10 + m - 10432*m**2.\nAnswer: 11*m**3 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 266 divided by 5\nAnswer: 266\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1393.45*0.9.\nAnswer: 1254.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3\/4, -1, -2, -6\/7, -18 in decreasing order.\nAnswer: 24, 3\/4, -6\/7, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12229*l + 70839.\nAnswer: -12229","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7289?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 4 + 4)*(651*d + 624*d - 1268*d - 1 - 48*d**2 + d - d - 2*d**2 + 3*d**2 - 2*d**2 - 2*d**2 + (4 + 0 - 2)*(-d**2 + 3*d**2 - 4*d**2)).\nAnswer: -165*d**3 + 21*d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/5 - 20537*p\/5 - 20538\/5 = 0. What is p?\nAnswer: -1, 20538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 248980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-138)\/(-225))\/2 + (-9)\/15. Let k = 1\/25 - t. Factor 1\/3*q + 0 - k*q**3 + 0*q**2.\nAnswer: -q*(q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54 - 63. Let l(b) = b + 22. Give l(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2895 and 65427.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 0, -1963115.\nAnswer: -1963115, -12, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in 2, 2\/343, -2\/9, -2, 1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*sqrt(750) + sqrt(270)\/(sqrt(9) - (sqrt(9)*-1 + sqrt(9))))\/(-4*1*sqrt(640)).\nAnswer: 9*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {x: 2, s: 3, r: 6, c: 1, q: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30 + 29.9. Which is the closest to -1? (a) m (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = 5*z - 6*b + 2*b, 3*b + 75 = 3*z. Find the third derivative of -21*s**2 + 120*s**2 + 26*s**2 - z*s**6 wrt s.\nAnswer: -3480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1131 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 138800173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24162.\nAnswer: 2, 3, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v + 65 - 65 = -3*v. Let q(n) be the second derivative of 0 + 7*n + v*n**2 - 5\/12*n**4 + 5\/3*n**3. Factor q(x).\nAnswer: -5*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - s - 7 + 32 = 0, -15 = -x - 4*s. Let n(y) = 0*y**2 - 2*y**2 + 3*y + 3*y**2 - 1 + 0. What is n(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4*1\/((-3)\/(-6)). Let f = r - -8. Round f to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + 36 + -44?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-6)\/(-5))\/((-72)\/(-72480))?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 + 2*u**3 - u**3 - u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.01435 centimeters to micrometers.\nAnswer: 480143.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 15*k**2 - k + 29. Let u be m(15). What is the greatest common factor of 119 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 32*n - 34*n - 25*n. Let a(q) = 4*q. Calculate m(a(w)).\nAnswer: -108*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-3 - (6 + 8 + -9 - 9))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-3) - (17 - 21).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22306*y = -408*y - 3037*y - 6950*y - 2746884 for y.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of g**8\/224 - 11*g**7\/140 + 21*g**6\/40 - 17*g**5\/10 + 5*g**4\/2 - 10*g**2. Determine p so that w(p) = 0.\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2111 - 6748?\nAnswer: -8859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/145236 and -157\/168.\nAnswer: 290472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 24*k**2 + 210*k - 3085. What is y(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3370161, -3370172, -3370191, -3370218, -3370253, -3370296?\n\"Answer: -4*c**2 + c - 3370158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207.6904 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 4) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-12) - (-74)\/12. Suppose -r = -0*z - 3*z. Let s(w) = -w**3 + 2*w**2 + 2*w - 2. Let h be s(z). Solve -5*f = 3*o - 12, -2*o + 8 = h*o + 4*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/165420 and 61\/363924.\nAnswer: 1819620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765 divided by 599.\nAnswer: -765\/599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {n: 4, q: 6, y: 1, r: 2, t: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 717078839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3*z - 1)*(18 - 18 + 28*z) - 2*z**2 + 3*z**2 - 6*z**2)*(-6*z + 3*z + 2*z).\nAnswer: -79*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6 + 282*a + a**2 - 2*a**2 - 278*a. Let z be g(6). Let j = z - -13. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05590996 and -0.07.\nAnswer: -0.0039136972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86002\/13 or 6615?\nAnswer: 6615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*p - 8, -d = 3*p + 6 - 0. Suppose d = f + 2*f. Solve f*o + 1\/3*o**2 + 1\/3*o**3 + 0 = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12845 and 150470.\nAnswer: 1053290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1186, 2369, 3544, 4711, 5870, 7021, 8164?\n\"Answer: -4*j**2 + 1195*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1352, 1320, 1294, 1274, 1260, 1252?\n\"Answer: 3*i**2 - 41*i + 1390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 2?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 34 = 2*g, 3*x - 3*g + 890 = 929 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850, 1711, 2562, 3397, 4210, 4995?\nAnswer: 5746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1 (b) -2 (c) -129.8 (d) -663\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51.2 + 51. Suppose 2*k - 145 = -4*m + 3*m, -3*m - 305 = -4*k. Let a = -220\/3 + k. What is the second biggest value in v, a, -2\/9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -7. Let g be ((-15)\/(-12))\/((-2)\/8). Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120002 (base 3) in base 12?\nAnswer: 29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 4, r: 1, o: 5, e: 1}. Give prob of sequence eo.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3501 - 3543?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2062423 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - 407*t**2 + 34772*t - 566. What is w(285)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3368*m + 67933. What is r(-20)?\nAnswer: 573","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 475 - 94. Suppose 3*h - j = -3*t, -2*h - 508 = -4*t + 2*h. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -9. Suppose d - 2*s + 7 = t, 2*s = 5*d - 0*s - 5. Suppose d*y - 57 = a - 3*a, -a - 57 = -3*y. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j + 34*j + 8*j to o*j + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6)\/sqrt(3)))\/(sqrt(50)\/sqrt(5)*3 - sqrt(10)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -3 (c) -16038\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(324)*2 + sqrt(54)\/sqrt(24))\/(4*-2*sqrt(3)*2).\nAnswer: -2 - 25*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q**3 + q**2 - 3*q + 4. Let s(k) = -2*k**3 + 2*k**2 - 2*k + 4. Let t(x) = -4*s(x) + 3*u(x). Give t(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 5513.2.\nAnswer: 27566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - -3) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 22*s**2 + 70*s + 50 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*w - 36. Sort -2, w, 62, 1.\nAnswer: w, -2, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/2))**(-5)*(l\/l**(-5)*l*l)**(-1\/33) assuming l is positive.\nAnswer: l**(149\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4775 + -3188. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -15*w + 24. Let x be q(9). Let d = -73 - x. Calculate the highest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - ((-2208)\/264 + 8 - (-11727)\/880)?\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/78)\/(12\/(-16)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 6*j - 22. Let y be n(-4). Let f be (-634)\/y + 2\/(-7). What is m in 3*m**2 - 4*m**2 + 86*m - 40*m - f*m = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13692 or 121218?\nAnswer: 121218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -70. Calculate the remainder when 39 is divided by ((-5)\/2 - -3)*u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*r + 48, -3*r - r + 4 = 0 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 10*c + 14. Let l be x(-6). Suppose 0 = 3*s - 4*g - 24, l*s - 2*g + 5 - 19 = 0. What is the greatest common factor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-836)\/14 + -2 + (-48)\/(-28). Let c be (-30)\/((6\/q)\/(-2 + 1812)). What is c rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**3\/6 + 2*c**2 - 5524*c. Let b(l) = 2*l**2 - 1. Let n be b(-2). Calculate u(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/7 (b) -116 (c) -23 (d) -1 (e) 0 (f) 0.23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 387*w**4 + 35*w**3 - 117*w**2 - 45*w - 4. Let r(h) = 775*h**4 + 71*h**3 - 233*h**2 - 91*h - 8. Let t(k) = -6*r(k) + 14*u(k). Solve t(q) = 0.\nAnswer: -1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -14*s + 1 - 1 + 21*s. Let k(y) = -y**2 - y + 1. Let x(a) = 2*a**2 - a + 1. Let i(c) = k(c) - x(c). Determine q(i(v)).\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/(-6) + -2)*51. Let t = -8 + r. Calculate the smallest common multiple of 7 and t.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (196245\/(-534))\/((-3)\/2). Calculate the highest common divisor of i and 1274.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151960 greater than 151959?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 186 + 301 + 2052*o**3 + 284*o**3 - 165 wrt o?\nAnswer: 7008*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 5*j = 35, o + j = 3*j + 13. Let v be (8\/20)\/(51\/o). Let x = 8.1 + -8. Which is the closest to 0.1? (a) v (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1715, 1684, 1639, 1574, 1483, 1360?\n\"Answer: -v**3 - v**2 - 21*v + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**4 + 8*j**3 - 9*j**2 + 11*j - 2. Let n(q) = -q - 8. Let a be n(-5). Let w(t) = -t**2 - t. Let o(x) = a*w(x) - l(x). Suppose o(c) = 0. What is c?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let d(a) = -a - 2. Let b be ((1\/(-2))\/1)\/(13\/(-26)). Let r(o) = 11*o**2 - o - 4. Let v(q) = b*r(q) - 2*d(q). What is l(v(n))?\nAnswer: 11*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*6)\/(sqrt(847)*1).\nAnswer: 12*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z. Suppose b + b = 4. Let l(n) = 28*n**2 - 13*n**2 - 13*n**b. Give i(l(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728353*c*h - 306*c - 100 with respect to h.\nAnswer: -728353*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -257, -247, -235?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (87 - 260106\/6050)?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1082457*b**2*z + 3177229*b**2 - b*z - 5*z wrt z.\nAnswer: 1082457*b**2 - b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.901035404 to three decimal places.\nAnswer: -0.901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58 or 3?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -262 - -578. Calculate the remainder when o is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r**2 - 2814*r + 447485. Calculate i(122).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -81 (b) -2 (c) -3 (d) -9 (e) -4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3 - 0. Let q(u) = -5*u - 1. Let b(v) = -v - 1. Let k(w) = y*q(w) + 6*b(w). Give k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*h**2*r + 251817*h**2 - 380939*r - 1 wrt r?\nAnswer: -6*h**2 - 380939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -13 + (9 - -4 - 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 340, -0.5, -1\/6, -5, -0.0454 in descending order.\nAnswer: 340, -0.0454, -1\/6, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 320 and 1080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/20 (b) -1.1 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12916 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c - 33 = -9*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*a + 18*a. Let c be (4\/6)\/a*3. Solve -v = c*y + 13, 0 = 2*y - y + 4*v + 17 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 177.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 143, -4, -1, 4 in ascending order.\nAnswer: -4, -1, 1, 4, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(((h\/(h\/(h**0*h)))\/h)\/h)*h)\/h)**(-12)\/(h\/(h\/(h**(1\/3)\/h)))**11 assuming h is positive.\nAnswer: h**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.002 - 5530.1.\nAnswer: -5530.098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 53591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**5\/5 - 19*s**4\/3 - 66*s**3 - 162*s**2 - 20*s. Factor h(a).\nAnswer: -4*(a + 1)*(a + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 152.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 10*d - 19. Let k be m(8). Let x be 60\/8*2\/k. Let s = -72 - -68. Put s, 3, x, -3 in increasing order.\nAnswer: x, s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 3:51 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (4642515\/(-12) - 3)\/((-21)\/28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c - 10. Let m be q(-15). Let r(v) = -v + 2. Calculate r(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/174304 and -25\/14?\nAnswer: 1220128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 0*f + 5*f, 3*b = -f - 8. Does 10 divide b*(5\/(-3))\/(8\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -4*t. Let c be (-29)\/(-1) + 389 + -429 + 22\/2. Determine r, given that -5\/2*r**t + 0*r + c + 5\/4*r**2 = 0.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 21\/5 of a meter?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/15 + (-247)\/(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yah when three letters picked without replacement from hhkykakahvh?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 1. Let o be q(13). Suppose -3*k = -n + k + o, 2*n + k - 24 = 0. Calculate the remainder when 47 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 - 34) - (1356 - 1373)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**3 - 3*t**2 + 13*t - 4. Let a(w) = -w**2 - w. Let q(r) = 4*a(r) - c(r). Let n(l) = 3*l**3 - 8*l + 2. Let m(u) = 9*n(u) - 4*q(u). Calculate m(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 595 by -119.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*j - 2, -6 + 2 = t - 4*j. Let s be ((-3)\/2 + 2)*-14. Let f = -4 - s. Solve t = o + f*o - 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*v + 77*v + 765 for v.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -19*f + 8*v - 6*v, 7*f - v + 9 = 5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36977 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0232225349 to six dps.\nAnswer: 0.023223","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40825 and 497.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(9\/2))\/t*t**11*(t\/t**(8\/5))\/t**(-8) assuming t is positive.\nAnswer: t**(239\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((10\/(-10))\/(-2))\/((-2)\/(-2))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2291 + 2290. Let w(s) = 0*s + s + s**3 + s**3 + 1. What is w(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 10*j**2 - 9*j + 11. Let n be (-63)\/14*16\/12. List the prime factors of u(n).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p - p + 2*p)*(43 - 86 + 26) + 3*p + 7 - 7 + (-1 - 4 + 3)*(0 + 0 - 2*p) as j*p + s and give j.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 277.74, 1\/2, 3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 6 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 555, 1057, 1521, 1947?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**11)**(-2\/21)*t*t**(-2\/83)*t**33 assuming t is positive.\nAnswer: t**(60880\/1743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.78 - -2.9. Which is bigger: z or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5036?\nAnswer: 2, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23265*b - 53196 = -22836*b for b.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-26)\/(-36) - (103\/(-9) - (-87 - -76)). What is j in 1\/6*j**4 + 0 - 1\/2*j + l*j**2 - 5\/6*j**3 = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -136 - -1770\/13. Let j = -7.429 - -12.429. Which is the second smallest value? (a) j (b) 1\/6 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.1 - 20. Which is the nearest to i? (a) -4 (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2 + 3*j - 5. Let b(c) = c - 5. Suppose 0*u = 6*u - 12. Let n be b(u). Let r = n - 1. Let l(z) = -3*z**2 + 4*z - 6. Determine r*x(d) + 3*l(d).\nAnswer: -d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1535666 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 719721 and 100056.\nAnswer: 1137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 135062503 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-4)*(-3 + 9). Let m(o) = o**3 - 10*o**2 + 9*o + 5. List the prime factors of m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -3, -28, 2, 7, -0.12, 0.5 in ascending order.\nAnswer: -28, -3, -0.12, 0.5, 3\/2, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -95.8376 - -0.4776. Let m = 87 + b. Let d = m - -1.27. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61673 to the power of 1\/2, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290439436978 minus -0.4?\nAnswer: 1290439436978.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 588*p**3 - 1511*p**3 + 2 - 2.\nAnswer: -923*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 551, 534, 511, 488, 471?\n\"Answer: j**3 - 9*j**2 + 3*j + 556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 13 + (-54)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*a, -5*c + a + a = -16. Suppose 2*n - 23 = 5*j, 4*n = -j + 7 + 6. Suppose -91 = -r - 2*w, -n*r + w + 177 = -c*r. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -26930287\nAnswer: -5386057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 15*m**2 + m + 13. Calculate f(-15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13192279?\nAnswer: 13192279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 - 22 = 4*c, 0 = -3*y + 3*c + 6. Let z be (-6*(-1)\/6)\/(1 - y). Which is bigger: z or -3\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 254, 253, 252?\n\"Answer: -v + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 175 = 9*b. Calculate the remainder when b is divided by 1*-5*42\/(-15).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1167, -5 in ascending order.\nAnswer: -1167, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, o: 7, y: 4, k: 2, h: 1}. What is prob of picking 2 o?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 1. Suppose -5*u + 35*v - 32*v = 0, 4*u + 3*v = 0. Which is the fourth biggest value? (a) t (b) u (c) -4 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1\/2*4\/11\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + 455\/49. Let v be (3\/x - 2) + 2. Let p = 16 + -14. Put 2\/3, p, v in decreasing order.\nAnswer: p, 2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*v - 15 = 3*s + 243*v, -3 = 3*s - 2*v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 4*u + 1. Let a(y) = -7*y**2 - 13*y - 139. Let t(v) = -a(v) - 6*h(v). Let m be t(-33). Solve 2*b = -c + 1, -2*c + 5 = 2*b - m for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/3)\/(1\/3). Let b(v) be the second derivative of 3\/2*v**2 + 7\/6*v**3 + 0 - 166*v. Let y(g) = 8*g + 4. Give p*b(n) + 3*y(n).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -v**7\/210 + 3*v**5\/10 + 4*v**4\/3 + 5*v**3\/2 + 12*v**2 + 11. Factor a(p).\nAnswer: -(p - 5)*(p + 1)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3102 - -2147. Let a = c - -1412. Calculate the remainder when a is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 j when three letters picked without replacement from {i: 4, a: 1, t: 2, j: 2, d: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -6*h. Suppose -o = -h*p + 28, 3*o - 6*o = -12. What is the least common multiple of p and (-185)\/(-65) - 3 - (-262)\/13?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6319975708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkkw when four letters picked without replacement from wgwqbbbkbkqwwqwbkww?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3040, 12180, 27412, 48730, 76128, 109600, 149140?\nAnswer: 194742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of m**4\/12 + 7*m**3\/6 + 2*m**2 - 4*m. Let n be h(-7). Find the third derivative of 5*s - n*s + 20*s**3 - s - 18*s**2 wrt s.\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 35 = 80. Let i(w) = w. Let u(x) = -2*x - 8. Let m(o) = 3*i(o) + u(o). Give m(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 59215, -1.2, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/7 (b) 140 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-259)\/(-42)) + 29\/26.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22773 - ((-260)\/(-78) + 4\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23480, 24980, 26480, 27980, 29480?\nAnswer: 30980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 - -628679903841.7?\nAnswer: 628679903908.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -21, -5 in descending order.\nAnswer: -5, -15, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -293863*p**4 - 2*p + 5853318 wrt p?\nAnswer: -1175452*p**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(65)*1*1 - (-2*2*sqrt(65) + sqrt(65)))\/(sqrt(80) - 6*3*sqrt(80)))**2.\nAnswer: 52\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 905 = -55*m - 42*m + 38*m, -3*m + 2*n + n + 60 = 0 for m.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4618 is divided by 61?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l\/(l\/l**(1\/2)))\/l**9)\/(l\/(l*l**(-2\/3)*l))**(-14\/11))**(-2\/169) assuming l is positive.\nAnswer: l**(523\/5577)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34651\/4 - -8136. Let r = -12601\/24 - w. What is the common denominator of 32\/33 and r?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2786.1, -0.55, 109 in decreasing order.\nAnswer: 109, -0.55, -2786.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**4\/12 + o**3\/6 + o**2\/2 + 43*o. Let g be (1 - 1)\/1 + 1. Let t = g + -3. Give x(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-27*(-5)\/10)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**0)*l**24*(((((l*l\/(l**(4\/5)*l))\/l)\/l*l)\/l)\/l)\/(l*l\/l**(-13)*l) assuming l is positive.\nAnswer: l**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 8. Let n be (-25)\/(-2) + 7\/14. Let j = n + -10. Solve j*l = l + x for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 2*o**3 + 2*o**3 + 4*o**2 - 3*o**3 + 5. Let z be l(-4). Calculate the remainder when 11 is divided by (5 - 0) + z + -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 11*g**2 + 11*g + 12. Let y = -9 - 1. Let m be t(y). Solve m = i + 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**4\/12 - d. Let c(j) = -6. Let t(o) = o - 1. Let m(r) = -c(r) + 6*t(r). Give p(m(u)).\nAnswer: -36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -70245 or -59659?\nAnswer: -59659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -55 + 56. Let y = 254813867\/1032278 + -1\/79406. Let b = y - 247. What is the third smallest value in b, 0.3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 44*m - 99. Let w(z) = -37*z + 101. Give 5*n(g) + 4*w(g).\nAnswer: 72*g - 91","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -4, -26, -78, -172, -320?\n\"Answer: -2*w**3 + 3*w**2 + w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82092 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 3d5?\nAnswer: -3d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*m**3 + 38*m**2 - 202*m + 48.\nAnswer: 2*(m - 3)*(m + 8)*(4*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -749 + 749.2. Let y(w) = -w**2 - 17*w - 66. Let u be y(-6). Which is the closest to u? (a) 0.33 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45042 is divided by 1318.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-7)))\/((q**(-4)*q)\/q)*(q**(-2))**13 assuming q is positive.\nAnswer: q**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5918 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-96) - 245\/(-6). Find the first derivative of 5*u**3 - 4*u**3 + 0 - 29 + 46*u - q*u wrt u.\nAnswer: 3*u**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + -1) - 5*sqrt(3)*-2.\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 38767b + 1?\nAnswer: 38767c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 7*g + 22. Calculate the smallest common multiple of g and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -3*c + 3. Let f(j) = -j**3 + 3*j**2 + 3*j + 3. Let v be f(4). Let y = 2 - v. Suppose b = -0*b + y. Give l(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (6 - -8) + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 4. Let r(h) = 1. Let z(u) = -4*r(u) + t(u). Let k(n) = -3*n. What is z(k(q))?\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58827262 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t**3 - 6*t**3 + 8 + 3*t + 17. Let j be u(0). Find the second derivative of -21*h + 533 - 533 + j*h**5 wrt h.\nAnswer: 500*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -v - 12, -7*v + 3*v = -4*i + 16. Suppose -2*c + 905 = x, 0*x - i*x + 2*c = -3630. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f + 15. Let k be t(5). Let i = k + -30. Suppose i*z + 5*g - 65 = 0, 2*g = -z - g + 13. Calculate the remainder when 50 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10*a**2 + 3*a - 2. Let b(j) = -j**2 + j - 1. Let n(q) = -2*b(q) + k(q). Let i be n(1). Does -6 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81310449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18555936?\nAnswer: 2, 3, 7, 53, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -52, -61, -74, -91, -112, -137, -166?\n\"Answer: -2*y**2 - 3*y - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630 = 796*t - 794*t. What is the greatest common divisor of t and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*v, 0 = 4*s - 3*v + 119 - 95 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/8*28\/3. Let k be (6\/c)\/(8\/(-56)). Solve -3 = -k*f - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3378 = 18*y - 5478. Calculate the greatest common factor of 615 and y.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t**5 + 0*t**3 - t + 9*t**5 - 7*t**3. Let z(p) = -26*p**5 + 36*p**3 + 6*p. Let r(f) = -16*k(f) - 3*z(f). Suppose r(u) = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**4 + 2*h - 39*h**4 + 5*h**4 - 470*h**3 + 471*h**3 - 2*h**2 to o*h**2 + u*h**4 + t*h + i*h**3 + v and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 587663460 a multiple of 1868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*w**2 - 199*w**2 - 278*w**2 to b + a*w + z*w**2 and give z.\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 l when three letters picked without replacement from oooolopoplloyl?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298444, -298437, -298426, -298411, -298392, -298369?\nAnswer: -298342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(256))\/(sqrt(512) + (sqrt(512) + sqrt(512)*2 - sqrt(512)) + sqrt(512)).\nAnswer: 5*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*m**5 + 0 + 0*m + 2\/5*m**3 + 0*m**2 + 4\/5*m**4.\nAnswer: 2*m**3*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f + 0*f**4 + 77*f**2 + f**3 - 5*f**4 - 79*f**2 in the form a*f + r*f**3 + s*f**4 + t*f**2 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -11*z - 151 - z**2 + 151 + 7*z. Let b be (-28)\/6 + 2\/(-6). Determine o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209))\/sqrt(11) + -1)**2.\nAnswer: -2*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -766*i - 586 wrt i?\nAnswer: -766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.5454 to two dps.\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -11*r. Let h(c) = 12*c. Suppose 0 = -26*y + 13*y + 1833. Suppose y*j = 134*j + 49. Give j*v(w) + 6*h(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 + r - 6. Let n be v(7). Let p(m) = -3*m**2 - 3*m + 2. Give p(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -0.55.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(5*(sqrt(108) + -1)*6 + -2*sqrt(108)*-6 + -2))**2.\nAnswer: -580608*sqrt(3) + 6895296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.7 + -1.7. Let g be 32\/112 + 8\/21. Which is the fourth smallest value? (a) g (b) u (c) -1\/5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 574 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 + 116. Let o(m) = -m**3 + 2*m**2 - 3*m - 7. Give o(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2. Suppose 18*q - 20*q + 2 = 0, -q + 7 = p. Let g(d) = -11*d**2. Determine p*g(h) + 42*w(h).\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14501970?\nAnswer: 2, 3, 5, 7, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 41 = -y, 17*y + 6*b - 60 = 14*y + b for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 16*s**2 - 74*s - 104. Let f be a(-3). Calculate the greatest common factor of f and 4621.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhmh when four letters picked without replacement from {h: 7, m: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 5*h - 180 + 273 - 14*h - 93.\nAnswer: -17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 18*n - 24 - 20.\nAnswer: 18*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 56*j**2 + 20*j - 2*j**3 + 20*j + 1 + 15*j - 54*j + 2*j**4 - 6*j**2 in the form y*j**3 + s*j + h*j**2 + z*j**4 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b7 + -34?\nAnswer: -eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = -36. Let w(y) = 6*y. Let g be w(-2). Let s be (-54)\/4*16\/g. What is the highest common divisor of s and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*h + 11934 + 30892 = 0. Is h a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65069 is divided by 1103.\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -480 - -399 - (0 - 170)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53519\/10 - 5342. Calculate the common denominator of w and (-10)\/15 + 3 + (-69)\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -4. Suppose -g - u = -2*g. Let l(o) = o + 1. Let z(k) = -2*k**2 + 0 + 8*k + 4 - 4*k. Determine g*l(n) - z(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55224 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 65613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h + 3 = 29*h - 78*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183326 is divided by 61108?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**3\/7 + 247288*v**2\/7 + 44693242*v\/7 - 6420076 = 0. What is v?\nAnswer: -123463, -182, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -2\/5 (c) 9 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 228. Suppose -3*y - x = -13*y. Calculate the highest common divisor of y and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1689*i**3 + 444*i**3 + 329*i**3 + 534*i**3.\nAnswer: -382*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 80534039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -23 + 10 + 9 - (9 - 14 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 - 22\/(484\/66). Let p = -0.5 + -0.5. Which is the closest to p? (a) -3 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48280747 to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 2*g + 16. Let l = -11 - g. Put 1, l, 1\/2 in increasing order.\nAnswer: 1\/2, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h + 18. Let n be q(-6). Let p(i) = -61*i - 59. Is p(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -63. Let o(c) = 1 - c**2 + 3*c**2 + 2*c - c**3 + 0. Let j be o(-1). Which is greater: y or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 + 97 + 8*g + 94 - 282.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11415*d**2*f**3 + 3*d**2*f + d**2 + 1916*d*f**4 + 2*d*f + 23107*d - f - 36 wrt f.\nAnswer: -68490*d**2*f + 22992*d*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50208, 50279, 50406, 50595, 50852?\n\"Answer: y**3 + 22*y**2 - 2*y + 50187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 52*o + 63. Suppose -2*j = -q - 32, -2*q + 5*q = -5*j - 52. Let v be s(q). Are 157 and v unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -361*a**4\/6 - 1729*a**3\/6 - 895*a**2\/3 + 218*a\/3 - 4 = 0. Calculate a.\nAnswer: -3, -2, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Suppose -y = 2*q - 6. Suppose 1 = -q*p + 63. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 661649660*i**4 - 300465233?\nAnswer: 2646598640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w**2 + 2*w**3 + 3*w**2 + 0*w**3 - 3*w**3 + 2*w**3 + (11 - 20*w - 11)*(62*w**2 + 257 - 257) in the form y*w**2 + f*w**3 + c + s*w and give f.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 12. Let o be w(-8). Let p(s) = 2*s**2 + 5*s - 5. Let m be p(o). Find the second derivative of -5*k**2 - 11*k**2 + m*k + 0*k**2 wrt k.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 4*x - 13. Let r be k(-9). Let s = r + 166. Suppose 4*d = s + 310. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207561?\nAnswer: 3, 43, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 504 = -6*m + 20*m. Let t(b) = -13*b - 2. Let l be t(-2). What is the highest common factor of m and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/7386885 and -119\/198.\nAnswer: 14773770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 16*j**2 + 8. Let y be v(16). Let z = 0 + y. Let h(f) = 2*f**2 + 19. Does 29 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-1 + 2) - 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 4*u - 3*u + (2*u + 0 + 0)*(2 - 4 + 7) + (-3 - 2 + 3)*(2*u + 2*u - 6*u) + 0*u + 4*u + u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9697*w**2 - 7165*w**2 + 18749*w**2.\nAnswer: 1887*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 = -4*x - 7*g, 0*x + 3*x = -5*x - 2*g for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.95 - 1.15. Which is the fourth smallest value? (a) -3 (b) o (c) 5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.24 - -1.87. Let b = o - -0.27. Put b, -19, 10 in descending order.\nAnswer: 10, b, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 2 - 2)*(-2 + 1 + 3)*((4*f - 4*f - f**2)*(-3*f + f + 4*f) - 2*f**3 + 3*f**3 + 0*f**3) to c + y*f + s*f**2 + i*f**4 + q*f**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 546*v**2 + 572*v**3 - v**5 - 2816*v - 2371*v - 670*v**4 + 4594*v + 124 + 22*v**5 = 0.\nAnswer: -1, 1\/3, 4\/7, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 3\/5 (c) 0.2 (d) -14\/39 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/17602341 or 1?\nAnswer: 2\/17602341","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -1.8. Let v = -171 - -171.1. Sort k, -5, v in descending order.\nAnswer: k, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1012800 and 3165?\nAnswer: 1012800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66667765589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 207 + -207.071. Let i = -4.071 - n. Which is the fourth biggest value? (a) 4 (b) i (c) -1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19530, 33782, 48034?\nAnswer: 62286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 5*c**2 + 8*c + 11. Let s be v(-3). Let f be 63\/14 - s - (-2)\/3. Let g = -1.6 + 2. What is the biggest value in -7, f, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 24. Let u be (-40 + 4)*(-9)\/m. Suppose -10 - 167 = -4*b + 3*z, -b + 4*z = -u. Calculate the greatest common divisor of 21 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(1 - 1 - 5*t)*(0*t - 3*t + 2*t).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r + 8965 = -2675. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72883\/70 + -1041. Let b = y - -3\/14. Suppose 4*h + 5 = -q, 4*q + 8 = h - 5*h. Which is bigger: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = n + 20. Let j(k) = 2*k**2 - 2*k - 2. Let y be j(3). Let u be (-44)\/(-10) + (-4)\/y. Solve u*z + 16 = 4*g, -5*g - 2*z + 6*z = -n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 30, 15*y + 15 = -n + 14*y for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -780, -2963, -6598, -11679, -18200, -26155, -35538, -46343?\nAnswer: -58564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -l**2\/2 - 9*l + 22. Let z be n(-8). Let j = 18 - z. 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 value of ((-100)\/(-35))\/((-4)\/(((-280)\/5)\/(-4)))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2458 + 3*v**2 + 2458.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 544 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 38*r**2 - 14*r + 52. Give h(4).\nAnswer: 604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8914*l + 11098 with respect to l.\nAnswer: 8914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905.571122 rounded to the nearest ten?\nAnswer: 1910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b = -6 + 54. Is 9 a factor of 91 + 1\/b*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 3. Let b be z(-2). Suppose -b*p - 22 = -5*p. What is the units digit of p + -4 + (0 - 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 16*g - 7*g. Suppose 0 = 4*k - 3*z - 5, -2*k - 4*z - 7 = 7. Sort -5, k, g, -2 in decreasing order.\nAnswer: g, k, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 8:13 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 940 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (308\/88)\/(3\/(-24)*-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, -39, -5\/2, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 174863233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*2.84\nAnswer: -1.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, -40, -5, -2.7, -0.1?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 + 321*c\/2 - 29185\/3.\nAnswer: -(c - 898)*(c - 65)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 28 + 17 = 0. Suppose n - 2*j + 0*j = -a, 4*n - 3*j + 11 = 0. Is n greater than -3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.20145 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13809469.\nAnswer: 149, 92681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.095 - 2.095. Let g = 0.12 - -0.28. Which is the fourth biggest value? (a) v (b) g (c) 2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 7. Determine w(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/238)\/(1462\/12427)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 11*u + 102 + 39 = 0, 27 = -4*v - u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 14, -59?\n\"Answer: -73*l + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 1:43 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 33*z + 15*z = -15*z + 142, -5*z + 32 = 2*i for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w + 6 = 0. Let v be (-4)\/18 + (-122)\/18. Are v and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -83 - 84 - 145 + 2*k**2 - 86 + 379. Let w(s) = -14*s**2. Determine w(l(a)).\nAnswer: -56*a**4 + 1064*a**2 - 5054","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -8*v**3 + v**2 - 4*v + 5. Let l(r) = -r**3 + r**2 - r + 1. Calculate 4*l(u) - o(u).\nAnswer: 4*u**3 + 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 7*y**2 + 8*y + 3. Give c(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4131657?\nAnswer: 3, 83, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y + 79. Let o be l(23). Differentiate o*m**3 - 15*m**3 + 18 + m + 0*m**3 wrt m.\nAnswer: -15*m**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -25*f**2\/2 + 28*f + 79. Is i(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**2\/2 + 6. Let l(k) = k**2 + 6*k - 6. Let r(b) = 2*b**2 + 13*b - 13. Let q(a) = 13*l(a) - 6*r(a). Calculate q(h(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -11*x**6\/120 - 4*x**3\/3 - 9*x**2. Differentiate y(k) with respect to k.\nAnswer: -33*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3828198 and 158190.\nAnswer: 19140990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 40 = 4*c + 2*z, 3*c + 5*z - 40 = 0. Suppose -5*m + 3*w = -11, c*m = 2*w + 8 + 6. Suppose -5*l - 1270 = -m*l. Round l to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**3 + 4*z**3 - 3*z**3 - 568*z**2 + 1 + 589*z**2 as s*z**2 + v*z + m*z**3 + g and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 131?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x - 9. Let c(p) = -6*p + 9. Let b(h) = 6*c(h) + 7*z(h). Let d be b(0). Let o = -10 - d. What is the fourth biggest value in 4\/9, 0.4, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 5:32 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.4. Let m = 17 + -9. Let t be 3\/(-9)*12\/m. Which is the third biggest value? (a) -5 (b) r (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.007 times -1136\nAnswer: 4551.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from yyyyywwywwyywy?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -0.7. Let r = -9.9 - o. Let m = r + 8. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 32715?\nAnswer: 327150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -70, -106, -142, -178, -214?\n\"Answer: -36*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/11 (b) -1 (c) -2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -574 (b) -2\/3 (c) -1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 3 - -1) + (6 - 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 744 and 29767.\nAnswer: 22146648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(((-3)\/(-3))\/6). Let l = y - -7. Solve d = 3 + l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -159.136+-1.2\nAnswer: -160.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.1 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 25 = 2*k. Let m = 32 + k. Suppose -2*u = -4*o + 60, -3*u - 30 = -4*o + 32. Calculate the least common multiple of m and o.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141\/23, 5, 13\/4 in descending order.\nAnswer: 141\/23, 5, 13\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -1561, -3391, -5955?\nAnswer: -9253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75)*1 + sqrt(75))) + -1 + sqrt(192) - (2*sqrt(1800))\/sqrt(6).\nAnswer: -17*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/16)\/(-2 - (-3145)\/(-1140)). Let m = -1\/70 + y. Is m >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2310 by 55.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 3896586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of -q**9\/7056 + 3*q**8\/3920 - q**7\/980 - 2*q**3 - q**2. Let l(c) be the first derivative of w(c). Factor l(s).\nAnswer: -3*s**3*(s - 2)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fifty-one fifths of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-108)\/(366 - -66)*(568\/1)\/(-2).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 22*o**2\/3 - 10552*o\/3 - 1280 = 0?\nAnswer: -4\/11, 480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1888 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = 0, 4*s + 11 = y - 0*s. Suppose -k = -i - 10, -3*k - y*i + 46 = -2*i. Solve 4*l - 28 = -k for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40251.\nAnswer: 3, 13417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.500003 + -2.5. Round b to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 3\/2, 95?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -648*n**3 - n**2 - n + 1. Let i(a) = 2*a**2 - 11*a + 4. Let p be i(5). Is t(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122 + -122. Suppose z = -y + 4*y - y. Solve 4*h = 5*x - h + 5, y = -x - 4*h - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -341?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*d + 68*d + 4*h + 96 = 0, -2*h = -37*d - 106 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*l**3*y**2 - 2*l**3 - 217*y**2 with respect to l.\nAnswer: 336*l**2*y**2 - 6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/3 and (22\/68)\/((-5)\/(-210)*7).\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*v**3 + 79*v**3 + 78*v**3 - 2 + 2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-2 - -9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/969500 and -197\/201268200.\nAnswer: 1006341000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2517 = 4*c - 2484, -3*q = 5*c - 5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -1\/4, 2 in descending order.\nAnswer: 2, -1\/4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 70548?\nAnswer: 70548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 619, 659, 699, 739, 779, 819?\n\"Answer: 40*s + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 4*y**7\/35 - 11*y**5\/20 - 11*y**2. What is the third derivative of a(h) wrt h?\nAnswer: 576*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1226 - -255416?\nAnswer: 256645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3904*f**2 + 6*f + 9666. Let a(k) = -7806*k**2 + 13*k + 19331. Let d(z) = -6*a(z) + 13*j(z). Find the first derivative of d(o) wrt o.\nAnswer: -7832*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 573526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4\/2 - 595*n**3\/4 + 8883*n**2\/4 - 8976*n + 1435 = 0. What is n?\nAnswer: 1\/6, 7, 10, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b96 - -b?\nAnswer: ba2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (52\/(-65))\/(((-1)\/(-1))\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - 181. Solve -3*o = 2*q + 11, 2*o - d*q - q = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n = -19*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.59 (b) -0.08 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36748*p**5*z**3 - 2*p**5*z - p*z**2 - 104220*z**3 - z wrt p.\nAnswer: -734960*p**3*z**3 - 40*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/132)\/((-3)\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 0*h - 2*q + 10, -4*h - 5*q = -25. Suppose h = -c + 3 - 1. Solve 2*n + 4*f + 8 = 0, 0*n = -c*n + 2*f + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-4 + 8)) + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 53 (b) -4 (c) -5 (d) -0.7 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/18 or -1?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/20)\/((-114)\/(-95)). What is the nearest to b in 0.3, 1, -7, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/2440 and -99\/50.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 46030*m**2\/3 + 265557136*m\/3 - 8188095968\/3.\nAnswer: 2*(m - 11492)**2*(m - 31)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 238 and 20?\nAnswer: 2380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3362714*v**4 - 10667850*v**2?\nAnswer: -80705136*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 29*x = 17*x - 675 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3988813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 16 from 12.630204743.\nAnswer: -3.369795257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 87*r - 89*r. Calculate the remainder when 35 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 1745528*c\/3 + 380858499848\/3.\nAnswer: 2*(c - 436382)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0192 - -0.1808. Let w = 563.9 + -564. Let q be (1 - 2 - 2)\/(-1). Which is the second biggest value? (a) q (b) -2 (c) p (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.37 to the nearest integer.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovzozzzozo. What is prob of picking 1 o and 1 z?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.21 * 5920.\nAnswer: 30843.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 0.08, 3\/31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10159 - -10594.3. Let h = g + -15.3. Let p = 419.99999773 - h. Round p to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.8399 and -2207.\nAnswer: -2208.8399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*s**2 - 3 + 6*s**2 + 1)*(2*s**3 - 6*s**3 + s**3).\nAnswer: 12*s**5 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 6392*j - j**3 + 6392*j.\nAnswer: -j**3 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 80*m**4 + 496*m**2 - 183771?\nAnswer: 320*m**3 + 992*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 + 49*z**2 - 60*z + 580. Let m be g(48). Which is the fifth smallest value? (a) m (b) 2 (c) -5\/101 (d) 3\/5 (e) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -49, -81, -115, -151, -189, -229, -271?\n\"Answer: -d**2 - 29*d - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 278 and 14306.38?\nAnswer: 3977173.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101607\/10 - -10173. Let b = -468 + 3281\/7. Let g = 115\/63 - b. Calculate the common denominator of g and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxe when three letters picked without replacement from exeex.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 16) in base 8?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 803276 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3191.2 and 13.\nAnswer: 3204.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4792 + -4792.181. What is k rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 8, 1, 35, -3, -2 in increasing order.\nAnswer: -3, -2, 1, 3, 8, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248 and 5921.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 445043, 890093, 1335143?\nAnswer: 1780193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1258 = 16*c - 438. Let w = 100 - c. Let b(f) = -12*f**2 - 7*f - 16*f**2 - f + 27*f**2 - 7. Determine b(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 - 5.5. Which is the third biggest value? (a) 0.4 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-32 - (1 - (-16 - -6)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3 + 2 - -8) + -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 965.\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of -33*(35\/(-15) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 180*b**2 - 6*b + 6. Let f(m) = -m**2 + m - 1. Give 6*f(d) + o(d).\nAnswer: 174*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f*f**(-25)*f*f**26\/f*(f*f\/(f*f**(-12)))**(-31\/2) assuming f is positive.\nAnswer: f**(-397\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 702173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, -2, 8?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 297 in -2\/21, 5, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 3*p - 10 = 0. Suppose 20 = -4*y - 4*k + 56, 21 = 3*y + k. Suppose 24 - 6 = y*m. Sort 1, m, p in increasing order.\nAnswer: 1, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 10924648?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 218253 to the power of 1\/2, to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/39 - ((-83064)\/39 - 0). Suppose 16*k - l = 158. List the prime factors of k.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1 = -0*d + 4*i, 2*d - i + 5 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 990111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 + 6. Let o(w) = -4*w**2 + 17. Let s(z) = 17*c(z) - 6*o(z). Let h(l) be the first derivative of -2*l**2 + 6602. Calculate h(s(m)).\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -9) + (-3 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 - -6. Suppose -330 = -7083*f + 7113*f. Let t(z) = z**3 - 2*z**2 - 4*z. Let q(p) = 6*p**3 - 11*p**2 - 21*p. What is f*t(b) + x*q(b)?\nAnswer: b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 70661*n + 70658*n + 15, 4*a = 8*n - 92 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 15) to base 11\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 - -4.94. Let o = 385 + -439.5. Let q = o - -64.5. What is the second biggest value in 1\/2, q, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1071*w**2 + 535*w**2 - 5562*w**2.\nAnswer: -6098*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3976 and 77?\nAnswer: 43736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*u - 54. Suppose u*b - 96 = -582. Let y be 1\/(6\/27 + (-6)\/b). Solve 8*t + 11 = y*a + 4*t, 0 = -a - t - 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66a74 (base 11) in base 7?\nAnswer: -553105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -768101943.1 rounded to the nearest 1000000?\nAnswer: -768000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 127115+0.4\nAnswer: 127115.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2983968.\nAnswer: 2, 3, 13, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4454 + 34?\nAnswer: 4532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 5, 104\/59?\nAnswer: 104\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0*z + z**3 + z - z - 28193*z**2 + 28193*z**2.\nAnswer: z**3 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*l**3 + 3444*l**2 + 5224*l + 1824 = 0 for l.\nAnswer: -6\/7, -4\/7, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118 and 59?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-616)\/21 + (-8)\/(-24). What is the third biggest value in w, -2\/3, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = 10*p - 2. Sort p, 19, 3, 2 in descending order.\nAnswer: 19, 3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p = 12. Let z be 5*2\/(0 - 2). What is the closest to -0.1 in z, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 282, 455, 606?\nAnswer: 735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 525\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/8 - (-21)\/28. What is the third derivative of -2*p**5 + 2*p**5 + 18*p**2 - x*p**6 - 14*p**2 wrt p?\nAnswer: -480*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 929822?\nAnswer: 2, 19, 24469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -7 - (20\/(-50) - 2\/(-55)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + 5*l**2 - 4*l + 5. Let g be o(4). Let q(z) = z. Let y be q(4). Suppose -2*s - 4 = 3*v - 5*v, y*s = 3*v - 5. Is g <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 2*g + 8. Calculate o(-7).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -433372 and 2?\nAnswer: -866744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -85, 4\/5, 6, 5, -0.65, -1\/2?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (140\/16)\/(2\/8). Let s = -24 + o. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 409858 to the power of 1\/2, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659 = 22*j + 901 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/(-18) - (-2)\/9. Suppose -19 = -5*t + 6. Sort t, o, 4 in decreasing order.\nAnswer: t, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 491320 divided by 49132.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 - 12*f**3 + 17*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4140*p = 1234*p - 2352*p - 239*p - 461748 for p.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 55 + 0 - 10\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(0*u - u + 3*u - u - 2 + 2 + (3 - 2 - 3)*(3 - u - 3) + u + u - u)*(-u - 5*u - 9*u).\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 180 + (-2 - 1) - (3 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-32.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2079 and 151011.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 631817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w. Let g(d) = 6*d - 3. Give n(g(s)).\nAnswer: 54*s - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375388?\nAnswer: 2, 13, 7219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79039 is divided by 13170.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313 - -186. Let k = 182 + h. What is k rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = -x - 33 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 8 = -p - 3, p + w = 1. Let g(r) = 0*r**3 + 2*r - 7*r + 2 + 3*r**3 - 2*r**3 + p*r**2. Let a = -25 - -20. What is g(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 31*w**3 + 15*w**2 - 25*w + 4. Is j(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1904.68 and 2.\nAnswer: -1902.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/3, -0.1, 0.9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 3*h + 2*h)*(h**2 + 2 - 2) - 3*h**3 - h**3 + 2*h**3 + 0*h**3 - h**3 - 2*h**3 + (-h - h + 4*h)*(2 + 2*h**2 - 2) + 5*h**3 - 3*h**3 - h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798256 a multiple of 167?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -18. Suppose 3*k = -x, -2*k = v - 4*k - 12. What is the remainder when 31 is divided by -4*6\/(-8) + v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.015, 2\/13, 3\/4, 1\/4?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 41272575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from jcjjjc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*-3.9.\nAnswer: -46.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 126 = 94. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21951652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 13\/19?\nAnswer: 13\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = n + 5*d - 2, n - 7 = 2*d. Suppose -2*q = n*v - 9, 0*v = -q + 2*v. Solve 2*g = -6 + q for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9922 and 10.\nAnswer: 49610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15950 - -15943. Put -4, -0.3, q in increasing order.\nAnswer: q, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x. Let z(n) = 4 + 0 + 3 - 7 - n**2 - 3*n. Determine a(z(c)).\nAnswer: c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2647290589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.27 - -34.2. Let v = -2.7 + 8.7. What is the smallest value in v, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5 - -4)\/(-2))\/(2\/16). Suppose 0 = s*d - 719 + 235. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.14187864 - 1?\nAnswer: -33.14187864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 9*q + 89 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2 + 1, 4*x + 4*t = 36. Let j be -2 - x*2*1\/(-2). Suppose 4*h + j = -0*h, 4*s + 5*h - 78 = 0. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((6*(3 + sqrt(19))*3)**2 - (-6*sqrt(475) - (1*sqrt(1216))**2)) + 3)*-4.\nAnswer: 31584*sqrt(19) + 164656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by (0 - -2)*(305\/10 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 945 times -0.1\nAnswer: -94.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-562*w + 278*w + 45*w**2 + 284*w)*(3 - 3 - 2) as q*w**2 + s*w + n and give q.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of 0*k - 2\/3*k**5 + 0 + 0*k**4 - 19\/105*k**7 - 5*k**2 + 0*k**6 + 0*k**3. Find the third derivative of s(o) wrt o.\nAnswer: -912*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 26784790595581?\nAnswer: -26784790595580.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 0.13, -54, 4, 0.5, 5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075042?\nAnswer: 2, 467, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41123730 (base 8) to base 11.\nAnswer: -49a87a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3393 - 2367 = -54*z. Put z, 1, -2, -4, 13 in decreasing order.\nAnswer: 13, 1, -2, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6515.6 - -6516. What is the fourth smallest value in -3\/5, 0.05, 0.5, j, 13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + 6. What is the least common multiple of 20 and (-40)\/(-6)*f\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 6*y - 2*d + 804 = 0, -5*y + 1340 = -2*d. List the prime factors of y.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p = 30*p + 135. Suppose -808 = -8*d + 4*d. Let k = d - p. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12425\/(-1491)*((-12)\/(-10))\/(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -g + 46, 5*g - 1 + 11 = 0. What is the remainder when 68 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)\/(o\/o**(-5\/3)))\/(o**(-1\/2)\/o*o*o\/o**(-1\/6)) assuming o is positive.\nAnswer: o**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 908.7 + -909. Which is the biggest value? (a) -1\/11 (b) -0.05 (c) i (d) 0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 - 2)*(4*k**2 + 0*k**2 - 5*k**2) + 3*k**2 - k**2 - 3*k**2)*(-1829*k + 55 - 1982*k + 3769*k).\nAnswer: -42*k**3 + 55*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**7\/210 + l**6\/50 - 3*l**5\/100 + l**4\/60 - l. Let k(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.2 - -10. Let b = y + 9. What is b rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 6*u**2 + 16*u + 79. Calculate s(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**7\/7 + 213*t**4\/2 - 4237*t**3\/3 + 368. Find the third derivative of x(a) wrt a.\nAnswer: -120*a**3 + 2556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 9:24 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in sixteen fifteenths of a hour?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3934738 or 3934729?\nAnswer: 3934738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 354*y - 5204 - 4416 = -382 + 3152 for y.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-63)*(-18)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lmzluitzlulmltlim. Give prob of sequence izm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*z + 306*z - 144*z.\nAnswer: 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(10\/(-373)) + 10\/25. Let n = 80 - h. Suppose d + n*c - 4*c = 12800003, d = -5*c + 12800015. Round d to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 51847, 8 in decreasing order.\nAnswer: 51847, 8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*o - 26*o**2 - 82*o + 24*o**3 - 10*o**3 - o**3.\nAnswer: 13*o**3 - 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 355695488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 198 = -24*w + 21*w, 4*r - 5*w = 161. What is the least common multiple of 12\/54 - (-806)\/18 and r?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 81)\/(1\/(-2)). Let g = b - -192. Solve 0 = f + 4*i - 4, f = 6*f - 5*i - g for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.221, -0.5, -0.33, -3, 1, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 176 = 6*i. Let r be ((-12)\/i - 1)*-2. Solve j = 1 - r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6743933839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 772287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 969, 1, -3 in decreasing order.\nAnswer: 969, 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**2 - 5*z**2 + 8*z**2 + 22*z**3.\nAnswer: 22*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*m**5\/4 - 5817*m**4\/4 - 822*m**3 - 117*m**2 = 0. What is m?\nAnswer: -39, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j**5 + 23245*j**4 + 63036*j**3 - 19936*j**2 - 92896*j + 26544 = 0. What is j?\nAnswer: -3318, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2\/29)*m)**(-17))**(15\/8) assuming m is positive.\nAnswer: m**(-1785\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 209 - 143. Let d be 2\/3 + 2\/((-36)\/q). Suppose -2*f - 1 = -7. Put d, 5, f in increasing order.\nAnswer: d, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y + 1. Let q be p(0). Let o(i) be the third derivative of 1\/6*i**3 + 1\/8*i**6 + 1\/30*i**5 + 0 + 0*i - 1\/12*i**4 - 118*i**2. Give o(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -10*y - 64*y**2 + 32*y**2 - 15 + 31*y**2. Determine w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1375467 and 3717.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, x: 1, n: 3, l: 5, p: 1}. Give prob of picking 1 m and 1 p.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2825985*d + 142*d**2 - 2825985*d. Let k(z) = 8*z**2 - 3. Give k(m(c)).\nAnswer: 161312*c**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 145 (base 15) to base 5.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -120 - -139. Find the first derivative of 15 - s*n + 6*n + 38*n**3 + 13*n wrt n.\nAnswer: 114*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188673660 to the nearest one million.\nAnswer: -189000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111010110 (base 2) to base 4.\nAnswer: 133112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-1)\/(-3))*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1624, -3053, -4482?\n\"Answer: -1429*i - 195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3845 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-1) + 36\/(-18). Let h be (10\/(-15))\/(v\/15). Let l(w) = -w**3 - 10*w**2 - w + 22. Let t be l(h). Calculate the highest common factor of 8 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2556\/59 - -6438918\/148621. Is j bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.95 - -1. Let z be 13\/78*(-6)\/676. Let o = z - -1361\/6084. What is the closest to o in a, 3\/8, -3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*(y\/(y*y**(-1)))\/y)\/y)\/((y\/((y*y\/y**(-4))\/y))\/y))**(6\/11)\/(y**(-6\/11)\/y**(-3)*(y*(y\/(y*y**(-1\/2)\/y*y*y))\/y*y)**(2\/3)) assuming y is positive.\nAnswer: y**(-2\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/18 + -2 + 0 and 10\/(-25)*10 + 6\/32.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2598\/37 + -281747\/4070. Calculate the common denominator of -59\/484 and u.\nAnswer: 2420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 4*m**2 + 5*m - 6. Suppose 0 = 5*r - 13 + 243. Let d = r - -39. Let c = -2 - d. What is n(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101010\/(-23569))\/((-4)\/42).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, d: 4, t: 6}. What is prob of sequence gtg?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 49*v + 49*v - 99*v + 17, 2*l + 23 = 4*v - l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -434 + 438. Suppose 5*p + 2*w - 40 = 0, -4*p + v*w - 26 = -86. Solve 2*r - 5*r + 2*x = -p, -x - 15 = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 10*m**2 + 12*m + 4. List the prime factors of w(-3).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/9 (b) 4 (c) 2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 391989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -41, -41, -45, -53, -65, -81, -101?\n\"Answer: -2*u**2 + 6*u - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -50501041*i**2 - 142340*i + 69?\nAnswer: -101002082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 13*p - 71. What is q(11)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 7*d**2 - 4*d - 1. Let i be w(6). Suppose 4*c = 3*c - 5*r - 3, 5*c - i = r. Solve c*g - j + 4*j - 5 = 0, -4*g = 3*j + 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 6*h + 1. Let a = 1 + 1. Suppose -a*i - i = 6. Let b(v) = v - 1. Let r be b(i). Determine z(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 15*o**2 - 17*o + 26. Let p be u(-16). Let r be (56\/p)\/((-2)\/(-6)). What is the greatest common divisor of 16 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 72 - 82 = 0. Calculate the remainder when 40 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1081534 is divided by 72085?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 626 - 202 = 0. Calculate the remainder when r is divided by -28 + 64 + 29 - (-216)\/(-12).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -14. What is the greatest common divisor of n and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1808 is divided by 107.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 664*t - 9. Let s(u) = 1990*u - 25. Determine -17*b(j) + 6*s(j).\nAnswer: 652*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 211 - -39. Let a = 499\/2 - o. Put -0.1, 1, -3, a in decreasing order.\nAnswer: 1, -0.1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -36*n**3 - 68*n**2 - 5*n. Let t(y) = 18*y**3 + 34*y**2 + 2*y. Let x(b) = -2*k(b) - 5*t(b). Find the third derivative of x(m) wrt m.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12698.1929 + -21452.6476. Let z = -8755 - x. Let k = z + 0.54. What is k rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -9*j**3 + 59*j**2 + 38*j - 40. Let s be i(-20). Round s to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 6, n: 13}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 - 22. Suppose -r*a + 10*a = -4. Solve -4 - a = 3*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express o + 14*o - 29*o in the form j + g*o and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 - k + 1. Let c(w) = 8*w**2 + 8*w - 2. Give c(o) + 3*z(o).\nAnswer: -o**2 + 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -152428 + 250464. Suppose 2*h + 36051 = -3*q + o, -h + 30980 = -q. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 3 - 4 + 9.\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 18, 24, 28, 30?\n\"Answer: -s**2 + 9*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 12:13 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (10664\/(-64))\/31)\/((-6)\/(-24)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2512466225?\nAnswer: 5, 2647, 37967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1\/6 (c) -197 (d) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**2 + 3*j**2 + 79*j + 55*j - 299*j to o*j + a + r*j**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {g: 1, p: 4, f: 1, j: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 1 + -1 + 131. Suppose 3*k - 3*b = y, -5*k + 260 = -0*b + 4*b. Let q = k + -28. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/7, 1831\/2, 1\/3, 0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7\/18, -1304, 2\/23 in increasing order.\nAnswer: -1304, -5, -7\/18, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-72*c**2 + 120*c + 2*c**3 + 133*c + 69*c**2)*(-2*c + 3*c + 3*c) to the form t*c**2 + b*c**3 + s*c**4 + q*c + n and give t.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 4*j - 5*j)*(-2*j - 4364 - 4596 + 7047) to h*j**2 + u + f*j and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*s + 25. Suppose 2*y - 2 = 6. Suppose -3*k = y*i + 1, -5*k + 3*i + 2 = 23. Sort k, 9, s in increasing order.\nAnswer: k, s, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3211.0225 - 3211. What is i rounded to three dps?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 27*b**2 - 19. What is o(-27)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 599*r**2 + 3*r + 4. Let d be b(4). Round d to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z. Let c be 2\/(-19) + (-2006)\/(-646). Let w(d) = -d + d - 2*d - c*d. Determine x(w(t)).\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 41681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -11675, 1\/9 in increasing order.\nAnswer: -11675, 1\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + c - 4. Let o = -12 + 17. Is m(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 39 = 3*g, -x - 2*x + 34 = -2*g. Let q = -2 - x. Let o be (-22)\/q - (-3 + 2). Which is smaller: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2603792745?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/1*88\/(-1320). Suppose l - 7 = -x, -4*l - 1 = -3*x - 3*l. Solve -x*i - 2 = 0, -i = -3*p + s*i - 9 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/4*(-208258)\/93 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 434, 908, 1546?\nAnswer: 2348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiiitiiiiiitii. What is prob of sequence ii?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, -153, 153 in increasing order.\nAnswer: -153, -17, 5, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b - -21?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351031.\nAnswer: 351031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*p + 19 = 2*p, 5*p = 5*c + 20 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -2. Suppose 3*u - s + 1 + 0 = d, 5*s + 25 = 0. Let f(k) = k**3 - k**2 - 2*k + 1. Give f(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29042 + -29044.3. Let n = -3 + 7. Which is the closest to 0? (a) n (b) x (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - -61. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(12\/(-3)) + -139. Let k = 374 + -606. Let t = v - k. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*((r\/(r**(2\/7)*r))\/r)\/r)**(2\/23)\/(r**(-3))**(-38) assuming r is positive.\nAnswer: r**(-18358\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 7*i = -4*i - 158, 677 = 4*s + 3*i. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*s - 35*s + 22 = 0. Which is smaller: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.05 (b) 2\/5 (c) -1\/3 (d) 2\/17 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157.8 - 173. Let b = 15 + w. Put 4, b, 2 in increasing order.\nAnswer: b, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-160)*-70*(-8)\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 3*i - 10, 0 = -49*i + 52*i - 5*t - 4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3359*x**3 - 539*x**2?\nAnswer: 20154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9233135.\nAnswer: 5, 163, 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.64834 litres?\nAnswer: 6648.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 0) + -4 + (5 - 5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 4*t + 45. Let x be s(9). Let f(z) be the first derivative of z**3 + 0*z - 3\/2*z**4 + 3\/5*z**5 + x*z**2 - 1. Find c, given that f(c) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - ((-16)\/18)\/(-4). Let d = -4\/9 + k. Which is the nearest to d? (a) 4 (b) -3\/5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-74))\/2*(2434\/(-20689))\/(16\/(-34)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 250448888*j + 210398313.\nAnswer: 250448888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73476 + 661285\/9. Factor -17\/9*t + 0 + n*t**2.\nAnswer: t*(t - 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18*(-1 - -4)\/(18\/(-9)). Let z be ((-32)\/72)\/(6\/i). Solve 3*d - z*m = -2*d + 17, -4*d + 28 = 2*m for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1705414.\nAnswer: 2, 109, 7823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.2, 2\/129, 75 in decreasing order.\nAnswer: 75, 8, 2\/129, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -22469*j + 1725. Is v(-16) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24466376.\nAnswer: 2, 11, 19, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, q: 7}. What is prob of picking 2 q?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8369 - -14210. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1932. Determine n(2).\nAnswer: -1934","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000599438938 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pxxpzxpwzwpxxxexz. Give prob of picking 1 p and 3 x.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, g: 7}. What is prob of sequence ge?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of i**6\/120 - 2*i**5\/15 + i**4\/12 - 13*i**3\/6 - i**2. Let l be a(8). Suppose -l*o - 3 + 24 = 0. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1739 + 24099 = 20*k. What is the greatest common factor of k and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7304202.42 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3097, 3106, 3119, 3136?\nAnswer: 3157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 9757?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -6 (c) 15\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 minus -38948474?\nAnswer: 38948467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, 1 in descending order.\nAnswer: 15, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -11936.\nAnswer: -3\/11936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 16 = 4*v, -4*n - v = -3*v - 8. Is 15 - (n + -1 + 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 3*y**2 + 6*y**3 - 4*y**3 - y**2 - 2 + y. Let o be (-1 + 2 + -2)\/(-1). Let g(h) = h**3 + h**2 + h - 1. Determine o*w(x) - 2*g(x).\nAnswer: x**3 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1296 and 880?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1352*l**4 - 88514*l**3 - 168945310*l**2 wrt l.\nAnswer: 32448*l - 531084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 286 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86953 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79282250, 158564507, 237846764, 317129021, 396411278, 475693535?\nAnswer: 554975792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1166 + -1046?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -44 less than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 5*z - 8 + 11.\nAnswer: -5*z + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q + 3*k - 22 = 0, -3*q - k = -14. Suppose 0 = 3*n - 3*v + 12, 6 + 4 = -5*v. Let t(f) = f + 14. Calculate the remainder when t(n) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 50 = 3*s. Let p = -6 - s. Suppose 0*c + p = 2*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 9*m**2 + 15*m + 63. Let n be r(-8). Suppose 4*j = -x + 2073, 4*j = n*j - 15. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -8*p + 9*p. Let b = 400 + p. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 58*c + 17*c - 45.\nAnswer: 75*c - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-234 + 808 + 417)*(-10*j + 53*j**4 - 29*j**4 + 3*j**2 - 26*j**4) as x*j**2 + d + g*j**4 + q*j**3 + a*j and give g.\nAnswer: -1982","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 6*w + 22. Let m(y) = 7*y + 22. What is -6*c(j) + 5*m(j)?\nAnswer: -j - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -184.195 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3502865 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/3 - 31253*h**2\/3 - 81390625*h + 81401043.\nAnswer: -(h - 1)*(h + 15627)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547192385.\nAnswer: 5, 71, 137, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 3*o - 32, -37534*o + 37529*o + 4*j + 75 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 288 + -287.93. What is the third smallest value in -1, j, -6, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/15 - 2*(-3)\/(-30). Suppose 3*g - 4*x = -18668, 0 = s*g - g + 3*x + 12434. Round g to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -130*m - 142326 + 371595 + 199601. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-4 + -2)) + 277 + -309.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*c - 36, 5*u = -4*c + 3*u + 52. Let s = -23 + 17. Let h = c + s. Calculate the greatest common divisor of h and 32.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-16)\/6*3. Which is the biggest value? (a) 3\/4 (b) -5 (c) l (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 10 = 5*l. Suppose l*z = 4*x - 636, -4 - 16 = 5*z. Is (0 + 2 - 4) + x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44.6 + -44. Sort f, -5, -0.4.\nAnswer: -5, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 2*a - 6 = 0. Suppose 2*b = a*b - 14. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4521 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: b\"What is the cth term of 36, 64, 92?\n\"Answer: 28*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*i - 21 = 0, -5*g + 21 = i + 28 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -26, 5?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 + 5*u**2 + u - 12. Let m be b(-4). Let f = 51 + -32. Suppose 18*a = f*a. Solve -2*n + m*n = a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1153\/77070 + -3\/734. Which is the third smallest value? (a) -0.4 (b) -1 (c) -5\/6 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w = 19*w + 3360. What is the biggest value in w, -2, -2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310720.6ml in litres?\nAnswer: 310.7206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 51\/5 of a meter?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 2. Let j be i(5). Let c be (4\/2 - 0)\/((-66)\/198). Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16581, -16584, -16597, -16626, -16677, -16756, -16869, -17022?\n\"Answer: -y**3 + y**2 + y - 16582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from gwahnwea?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 10*m - 10. Let u be 1 + (-16)\/(-4) - -5. What is f(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -4, 0, -5\/4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = -3*n - 2, 5*q - 7 + 2 = -4*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2856 - -3207. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 8*t + 3. Let g be p(7). Let k = g - 6. What is the remainder when 10 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.4 + 1.6. Which is the second biggest value? (a) 3\/5 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 10*z + 16. Let o be x(-8). Solve 4*c - 3*f = -28, o = c - 5*c - 5*f + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -402 - -6047?\nAnswer: 5545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g + g - 414 = 30*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-650244)\/(-98) - 1\/7. Let r = -4314 + g. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95044*m**2 + 22900*m**2 + 2 - 16271*m**2.\nAnswer: -88415*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84*t - 378575 + 5054855 = 0. What is t rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -642 - -647. Let n(r) be the first derivative of 7\/2*r**2 - 2*r - k. What is the first derivative of n(b) wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -53 + 33, -5*o - 5 = -4*h. Let c(n) be the first derivative of 1 + 0*n - 4*n**2 + 3\/2*n**4 + 0*n**o. Find the second derivative of c(z) wrt z.\nAnswer: 36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, -19, -9, -3, -26 in decreasing order.\nAnswer: -3, -9, -19, -26, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 34195 times -0.007\nAnswer: -239.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 561 + -563. Let w(z) = z**3 + 2*z**2 - z + 1. Give w(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecnaknc. Give prob of sequence ae.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148\/518*((-7)\/156)\/((-6)\/(-12))?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-17)\/((b*b**(-24)*b)\/b))**(-2\/45) assuming b is positive.\nAnswer: b**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*p**3 - 132643265*p**2 - 700176339*p?\nAnswer: -18*p - 265286530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 + 3*z - 7. Let d be 3 + -10 + -3 - 3. Let h = d + 8. Let y be m(h). What is the highest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -338750750495\/308 + 1099841785. Let l = i + -11790\/7. What is the common denominator of 47\/108 and l?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 7*d**3\/6 + 29*d**2 + d - 43. Let w(a) = -a**2. What is w(l(f))?\nAnswer: -49*f**2 - 812*f - 3364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 368411 or 368414?\nAnswer: 368411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/546 and 169\/8106.\nAnswer: 105378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12000000 = 3*h. Round h to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1447, 5848, 13209, 23542, 36859, 53172, 72493, 94834?\n\"Answer: 2*f**3 + 1468*f**2 - 17*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r + 1 - 1)*(-82*r + 6403 + 85*r - 2216) as h*r + n*r**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 7068?\nAnswer: -7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 307511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.05 to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/5 + 2*f**4 - 96*f**3\/5 - 152*f**2\/5 + 704*f\/5 + 1152\/5 = 0.\nAnswer: -9, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2302, -2306, -2312, -2320?\nAnswer: -2330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -323*g + 9177 = 438*g - 72250 for g.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7135 + 7225. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117931456 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 10) to base 14\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 420 - 194. Let b = 2432209.99831 + -2432436. Let t = u + b. What is t rounded to four dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 - -133. Suppose -66*x - 36 = -i*x. Solve -k + x = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*c**3*p*z + 49*c**3*p + 2*c**2*p*z - 5*c*p - 8*p - 2*z wrt c?\nAnswer: -42*p*z + 294*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4089 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 103*j + 1. Suppose 36 = -4*o + 7*o. Suppose 4*c + 3*t - t - o = 0, 5*c = 4*t - 11. What is the tens digit of v(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -3*q + 84, -884*q - 2*d - 3*d - 10 = -885*q for q.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:20 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 105, 133, 161, 189?\n\"Answer: 28*t + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141*w**3\/7 - 828*w**2\/7 + 579*w\/7 + 1908\/7 = 0.\nAnswer: -53\/47, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) 0.24 (c) -1 (d) 2666 (e) 5 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -5*d + 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 95 = 18*b. Suppose 3*o - b*z = -19, 2*z + 7 = o + 3*z. Solve 0*p - 5*p + 25 = 5*m, 0 = -3*p - o*m + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 142*r - 1081. Calculate k(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-33)*2*(-51)\/34.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:15 AM?\nAnswer: 7:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 80 in -5, 0.5, 2, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 10, u: 10}. Give prob of sequence ujju.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {u: 3, l: 1, a: 5, m: 3, r: 6}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9723 is divided by 346.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 0.5, 2\/15, 412, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/4)\/(3\/6). Let r be (1\/2)\/(1 + o). Let u(w) = -w**2 + 9*w + 2. Let n be u(8). Which is the third smallest value? (a) n (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39294 = -3*i - 3981. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*x**2 + 85*x**2 + 9 - 9.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -e830?\nAnswer: -e835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*a*m**2*u**3 + a*u**2 - a + 331*m**3*u**3 - 829*m**3*u**2 wrt u?\nAnswer: 54*a*m**2 + 1986*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32073 + 32361. Solve 23*x + w = -13*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2 + 6*z + 10. Suppose -2*w = y - 5*w + 16, -2*w + 6 = 0. Let q(j) = 3*j**2 - 2*j - 3. Give y*q(d) - 2*x(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*u + j**3 + 2810939*j**2 + 13*u - 1171041 wrt j.\nAnswer: 6*j**2*u + 3*j**2 + 5621878*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of l**6\/6 + l**4\/12 - 17*l**3\/3 - 5*l + 50. Let q(x) be the first derivative of g(x). Find the second derivative of q(a) wrt a.\nAnswer: 60*a**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.201, -122, 0.5, -72?\nAnswer: -0.201","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 15. Suppose -3032382 = -2*d + a*s, -s = -3*d + s + 4548573. Let g = d - 2916191. What is g rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1740, -6949, -15606, -27711, -43264, -62265, -84714?\n\"Answer: -1724*r**2 - 37*r + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60507, -60395, -60285, -60177, -60071, -59967?\nAnswer: -59865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 89103530*t*v - 124632566*t wrt v.\nAnswer: 89103530*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1484761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.27288731 and 1.\nAnswer: 1.27288731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 76339599 - 0.2?\nAnswer: 76339598.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(-4)))**(10\/3)*o**(-21)*o*o**7 assuming o is positive.\nAnswer: o**(-79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - y = -109, 2*y - 3*y - 136 = -4*d. Let t = d + -35. Let m be (-87)\/(-1) + t + (-6)\/(-2). What is the greatest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224729 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*d + 190 = -0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -662 at least -662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4422224 (base 5) in base 13?\nAnswer: 28b07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -52, -101, -150, -199, -248, -297?\n\"Answer: -49*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13200 + -13191. What is the nearest to o in 2\/5, -5, -20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 192\/2 - (-1 + 1). Suppose 0 = 3*j - 0*j - 6. Suppose j*t + 12 = 3*t. What is the highest common factor of g and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -2*v - 26. Let y be h(-13). Suppose 5*g - 3 - 7 = y. Factor -n**2 - n**4 + 2*n**2 + 0*n**2 + g*n + 2*n**2.\nAnswer: -n*(n - 2)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 16*d + 3*d - 15*d**2 + 13*d to the form n*d + s*d**2 + w and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41141805 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 27 = -p. Let z = 33 - p. What is the remainder when z is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 19. Let b = t - 7. What is the remainder when (b - 651\/(-12)) + (-5)\/20 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825863764 a multiple of 6332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 7*g**2 + 5. Let l be h(-7). What is the third derivative of 2*t**5 - l*t**2 + 0*t**5 + 2*t**2 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.114*-5\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7*a + 10 = x, -3*x + 2*a - 4 = 0. What is the units digit of 3 - x - (-30)\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*g - 27*g = 3*r, 3*g - 7 = r for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 418974204 by 2164.\nAnswer: 193611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 4\/3, 0.09 in increasing order.\nAnswer: 0.09, 0.6, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2099*s + 41971. Calculate z(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.12301 - -0.37699. Which is the nearest to -1? (a) w (b) 2\/129 (c) -1\/58 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -42490, -170467, -383764, -682381, -1066318, -1535575?\n\"Answer: -42660*u**2 + 3*u + 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 2. Let h = -6 + 6. Suppose 10*q - 7*q + 6 = h. Let a be s(q). Which is bigger: a or -1\/25?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 87*p**2 - 5*p + 6. Let y(n) = 4*n - 14. Let j be y(4). What is the hundreds digit of d(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**4 - 2*k**3 + k**2 + 15*k - 6. Suppose 7*r + 68 = 26. Let y(i) = 1. Let g(t) = r*y(t) - d(t). Find the third derivative of g(b) wrt b.\nAnswer: 168*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -7*s**2 - 3*s - 6. Let t(v) = -20*v**2 - 8*v - 17. What is 11*q(o) - 4*t(o)?\nAnswer: 3*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 + 73*m + 8. Let i be w(-12). Let t(k) = -2*k - 5. Let y be t(-5). Sort i, 1, y in decreasing order.\nAnswer: y, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2847.37 times -0.39?\nAnswer: 1110.4743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -112233?\nAnswer: 112243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/28 of a week?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.29 (b) -0.4 (c) 1.2 (d) -0.5 (e) 81\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 21692 and -5.\nAnswer: -108460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 2. Let y(v) = 1. Let u(m) = -j(m) + 3*y(m). Let c(o) = o**2 - 9*o + 9. Let g be c(7). Let k = g + 5. Calculate u(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.0003 + -14. Round n to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 15. Let q(s) = -3 + 0*s**2 - s - 5*s**2 + s**3 + x*s + 0*s**3. Let d be q(4). Solve z + 4 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p - p + 5 - 4*p + 5*p.\nAnswer: -2*p + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3))\/(x*x**5\/x))**(-25)\/((x**(-2))**(-1))**42 assuming x is positive.\nAnswer: x**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**6\/30 + i**4\/6 + i**2\/2 + 1. Let s(q) be the second derivative of c(q). Find the second derivative of s(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27144\/11 + -1057868\/429. Calculate the common denominator of -37\/7 and a.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/4)\/(n*n**3\/n*n))**(-14\/5) assuming n is positive.\nAnswer: n**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 2226978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, 2\/3, -2\/11, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*o - 27*o + 2*h = 6, 3*o + 4*h - 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*m - 655869 = -2825369. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -26. Let r = 1.6 - 1.2. Which is bigger: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*w = -65, 0 = 2*s + 2*w - 0 - 8. Does 4 divide 2\/(s\/(-6) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492590000 rounded to the nearest one million?\nAnswer: 493000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -17*b**2 + 51*b. Let l be u(3). Let p = -4.4 + 5. What is the third biggest value in p, -4\/3, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7370 + -7234. What is the remainder when 1085 is divided by g?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -24*a**3 + 7*a**2 - 9. Let h(r) = 24*r**3 - 26*r**2 + 3. Let d(x) = 12*x**3 - 15*x**2 + 1. Let c(o) = -5*d(o) + 3*h(o). Determine 14*c(s) + 6*t(s).\nAnswer: 24*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -555634 divided by -38.\nAnswer: 277817\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-21)\/(-6))*-7. Solve -5 = a - 2*n, a - 3*n + y = -3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*o + 1\/9*o**3 - 4\/9 + 1\/3*o**2.\nAnswer: (o - 1)*(o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 10*y**2 - 10*y - 12*y + 25*y. Let k be (-3)\/(-6) - (-5)\/(-2). What is the tens digit of v(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2 = x, -2*x + y + 5 + 0 = 0. What is the nearest to 0.43 in -0.3, x, -0.5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -6. Suppose i - o = -6. Suppose -i = -q + 21. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4324093, 4324105, 4324117, 4324129, 4324141?\n\"Answer: 12*s + 4324081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8574, -0.5, 0.1, 8, -4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -3)\/(289\/2601). Solve 5*v = q + 18, 30*v - 25*v = -2*q + k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 0 + 8. Suppose -36 = -3*t - 5*b, -4*t - 2*b = -17 - 31. Calculate the remainder when 64\/s - 4\/(-2) is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*f + 27888 = 114*f. Let v be (-4)\/22 + f\/308. Solve -q = 5*q - v for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, 0.2, 3, -5 in decreasing order.\nAnswer: 3, 1\/4, 0.2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -2\/3*s**3 - 4*s**2 - 8*s - 5. Suppose u(v) = 0. What is v?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 503 (b) 0.08 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -4 - (-73 - -75)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -38867, -38089, -37311?\n\"Answer: 778*f - 39645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -32. Solve 8*y + 10 = 3*y, -16 = -s*w + 5*y for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -140*x + 7. Let l be k(-4). Let o be (-296)\/(-14) - 9\/63. Calculate the greatest common factor of l and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -68 (b) 1\/5 (c) -0.6 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 60779638, 60779637, 60779636, 60779635, 60779634?\n\"Answer: -p + 60779639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -5*l**2 - 5*l - 4. Let o(n) = 9*n**2 + 10*n + 7. Let h(y) = 6*o(y) + 11*x(y). Let g be h(4). Factor -1\/2*w + 1\/2*w**3 - 1\/2*w**g + 1\/2.\nAnswer: (w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2414 * -0.02.\nAnswer: -0.004828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/36 - 5\/((-135)\/(-1626)). Let d = -7 - m. List the prime factors of d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14300 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*l - 24*l - 27*l)*(-2*l - 2*l + 9*l)*(-2 - 1 + 1) to the form y + a*l**2 + p*l and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-48))\/(1\/(-8)*-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 115, 62, 11, -38, -85, -130, -173?\n\"Answer: o**2 - 56*o + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4288*z**5 - z + 2852 wrt z.\nAnswer: 85760*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 4*f + 32, -27*a + 31*a = -2*f + 2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 12 = 3*i, 8 = -4*m + 3*m - 2*i. Suppose 0 = 2*h - 4*h + 2. Suppose -f + 2*q - 3 = -5, -2*f = q + h. Solve y + f*y = m for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**5 + 3*h**5 - 5*h**5 + (4*h**3 - 8*h**3 + 0*h**3)*(-h + 3*h**2 - 3*h + 3*h).\nAnswer: -11*h**5 + 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*n**2 + 8*n**2 - 8*n**2.\nAnswer: -208*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1263 divide 491307?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4526?\nAnswer: 2, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 10*p + 7*p + 62 = 0, -q + 3*p + 74 = 0. Suppose 4*k - 8*k + 1632 = 0. Calculate the highest common factor of k and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 3 = 23*o - 22*o, 0 = o + 8*z + 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 271 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1054 - -1061)*2\/189.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 5:07 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -22, -7, -2 in descending order.\nAnswer: 9, -2, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 8 - 25*y - 5.\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - h = 4 + 7, -m + 4*h = -5. What is the third biggest value in -0.26, -0.5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 5. Suppose 63 = 8*p - i*p. Is p a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*g**3*m**2 - 38*g**2*m**2 - 3487*g*m**2 wrt g?\nAnswer: -198*g*m**2 - 76*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4771 divided by 10.\nAnswer: -4771\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (0 + -3)*2. Suppose 2*u - 90 = -j*u. Let r be (-10)\/(-45) + (-4)\/u. Solve 5*c + r*c + 15 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i**2 - i**3 - 3*i**2)*(-3*i + 4*i + 5*i) + (-i - i + 0*i)*(-2*i**3 - i + i).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5\/(-25)*(-3 - -2)*(1433 - 1418).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, 52, 58, 66?\n\"Answer: n**2 + n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(72)*-4 + sqrt(72) + (sqrt(72) + (sqrt(72)*1 + sqrt(72))*-6 - sqrt(72)))**2.\nAnswer: -180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5511.486945 to the nearest integer.\nAnswer: -5511","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -6 (b) -4 (c) -81 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) 2 (c) -271\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 2*a**3 + 13 - 16 + 2*a**2 + 1 + 2*a**3. Calculate k(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in milliseconds?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 222 = -12*d. Let w = 239 + d. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2*c**6\/3 - 32*c**5\/5 + 19*c**4 - 16*c**3 + 1515. Solve g(v) = 0 for v.\nAnswer: 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 334995.95 - 335213.95089. Let a = 219.9 + -1.9. Let d = q + a. What is d rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 38*z**2 + 2*z + 79. Let q be r(-38). Solve 4*y + 5 = q*m, -18 = 10*m - 15*m - 3*y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/83410 and -13\/1159?\nAnswer: 5088010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13951492 divided by -2\nAnswer: 6975746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 + -15. Let r = n - -64.6. Let y = -389\/2 + 193. What is the nearest to -0.1 in 4, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 2:02 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/40? (a) -135 (b) -1\/5 (c) 1\/2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7478 - -7637. Calculate the highest common factor of r and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 155, 160, 167, 176, 187?\n\"Answer: k**2 + 2*k + 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 10*x**2 + 4*x - 38. Calculate q(-7).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-2\/9)*a)*(a*a**(10\/3))\/a)\/(a**3\/(a**21\/a*a)) assuming a is positive.\nAnswer: a**(181\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 5*c - 25, -5*a + 8*a + 3*c - 18 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 + 2*n - 9. Let m be q(8). Let h be m - (-1 + 1 + 1). Find the third derivative of 2*v**h + 0*v**5 - v**2 + 0*v**5 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-3)*(-4)\/(-2) + (-2581236)\/(-756). Is m at most as big as 3407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 94573\/65 + -1455. Is l < -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -2275757880.\nAnswer: -2275757880.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-15) + (-133)\/(-3). Suppose -t = -4*p - f, p - 2*p + 3*t - 19 = 0. Is -17\/2 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 138*w**2 + 133*w**2 - 30.\nAnswer: -5*w**2 - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 + 2*j**2 - 2*j**2 + (5 - 4 - 3)*(-5*j**2 + 3*j**2 + j**2) - j**2 + j**2 + j**2 + (1 - j - 1)*(j + 5*j - 5*j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekjx when four letters picked without replacement from kxbjebebbkbjkbex.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12649 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59040 and 1212?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 1. Let a(q) = 3*q**2 - 5. Let s(d) = a(d) - 5*c(d). Let r(y) = -423*y**2 - 398*y**2 + 776*y**2. Determine s(r(n)).\nAnswer: -4050*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from ttttttttttttq.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 90?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence as when two letters picked without replacement from {a: 1, s: 2, p: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808761.\nAnswer: 1808761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622, -1443, -2266, -3091, -3918, -4747, -5578?\nAnswer: -6411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 + 204408*t**4 + 3066720*t**3 + 15334600*t**2 + 25558500*t.\nAnswer: -4*t*(t - 51117)*(t + 5)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-4 + 33\/6). Suppose -l - 5*b + 15 = 4*l, v*l = -2*b + 18. What is the derivative of 8 - 6*s + l*s**4 + 4 + 6*s wrt s?\nAnswer: 24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 10*q**2 + 4580*q + 13728. Determine p(-3).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244199.8564 rounded to the nearest ten?\nAnswer: 244200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*y**2 - 8*y**2 + 50*y**2)*(-1 + 0 + y - 3)*(-4*y + 0*y + 2*y)*(-4 - 1 + 1).\nAnswer: 536*y**4 - 2144*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 136*i - 2773. Let m be p(25). Let w(d) = -4*d**2 + 14*d - 29. Calculate w(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 430*u**3 - 37493 + 2*u**4 - 23202 - 238451 - 240854 + 11700*u**2 + 3*u**4 + 81000*u.\nAnswer: 5*(u - 4)*(u + 30)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-4 + (sqrt(1377) - (sqrt(1377) + -1*sqrt(1377) + sqrt(1377) + -2)) + -3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u - 1. Let p be i(0). What is the remainder when p - ((-3 - -2) + -3) is divided by (1 + 0)\/((-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o + 5. Suppose 34 = 2*w + 3*i, -4*w - 41*i = -37*i - 64. Let z(j) = -17 + w - 21 + 10*j. What is -16*t(c) - 3*z(c)?\nAnswer: 2*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*f + 15*f + 1136*f**2 - 590 + 1068 - 541 wrt f.\nAnswer: 2272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - -3 - 5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 3 + 3 + -2. Suppose p*k = -5412 + 16162. Suppose 6*v - k = v. What is v rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1581 = -5*f + 2*y, 2*y = 3*f - 939. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 6, z: 2}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -13. Solve 3*u + 9 = -j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2 + 2. Let s be a(-2). Suppose 8*z - 60 = 3*z. Let l = s - z. What is the remainder when 11 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-10)*5\/2. Suppose -6*g + l*g = 9. Let q = g - -4. Which is smaller: q or 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - 2*b**2 + 2*b**2)*(b**3 + 2*b**3 - 5*b**3).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 3:16 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*p + 9917 - 9917 + 204*p - 106*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 1. Let k(o) = -3*o**2 + 8*o - 4. Let z(w) = -4*a(w) - k(w). Find the second derivative of z(j) wrt j.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 20. Let a be l(5). Let q be a*(18\/10)\/3. Suppose -4*m = -q*v + 529, 3*m + 163 = v - m. What are the prime factors of v?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204, -205, -206, -207?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -646272 divided by -432?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -468, -1550, -3644, -7086, -12212, -19358?\nAnswer: -28860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -3. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 193 - 430. Let c = -236.999864 - o. Round c to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of p**5\/4 + 11*p**4\/24 - 11*p**3\/6 + 2*p**2. Let y(f) = 0*f**2 - 8*f**2 + 3*f + 2*f**2 + 10*f**2 - 3. Give -6*w(b) + 22*y(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4045895, -4045885, -4045861, -4045817, -4045747, -4045645, -4045505, -4045321?\n\"Answer: r**3 + r**2 - 4045897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153398987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*q**2 - q - 56*q**2 + q + 83*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -4*c**3\/5 + 772*c**2\/5 + 792*c = 0.\nAnswer: -5, 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 4*c + w, -3*c + 52 = c + 2*w. Let x = -1.7 - -1.06. Let t = x - -0.64. Is c equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 550 and 1658 - (-35)\/(-14)*(-48)\/(-15).\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24002 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*u**3 + 86 + 4532*u + 83 - 169 - 4532*u.\nAnswer: -95*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -189 + 310. What is the remainder when l is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/17))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 423673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -28. Suppose 0 = 2*p - 5*p + w. Solve 0 = -p*m + 12 + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 - 850*b - 377 - 392 + 159*b + 1069.\nAnswer: -691*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/12 - (-17)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*d + 1 = -2, 0 = -4*q + d + 9. Find p such that 2*p + 5*p**2 - q*p - 4*p**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386 (base 9) to base 4.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/9 of a week?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z. Let d(v) be the second derivative of 49*v**3\/6 - v**2\/2 - 24*v. Determine s(d(y)).\nAnswer: -147*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5681.8547902427 + 0?\nAnswer: 5681.8547902427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 4 - 6 + 18 + 3 - 252*x**2 to n + t*x**2 + j*x and give t.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 232136.\nAnswer: 2, 29017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*p**3 + 247*p**3 - 752*p**3 + 252*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2779550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 107 by -88.\nAnswer: -107\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 97*b**2 - 15255 + 15255 + 82*b**2.\nAnswer: 178*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 248278421 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*g + 478, -2*u = 4*g - g - 697. Suppose -9*y + 3632 = -g. Let h = y - 302. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 398435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 653 = 6*p + 659, -2*p = -5*w - 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*t + 27167, 3*j + j - 21748 = 2*t. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 14*g**2 + 3*g - 20. Suppose 9*c = 4*c + m - 60, 5*c - 5*m = -40. List the prime factors of a(c).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1228 + -1180. Calculate the highest common divisor of h and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 646380 and 90?\nAnswer: 646380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2961\/11 + -269. Which is the smallest value? (a) 3 (b) 0.03 (c) y (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 + -1.2. Is -3 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34.12 + 18.4. Let d = m + -0.28. Let r = d + 15.9999959. What is r rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1367 - 1367 - 210*j**4)*(-7 - 1 + 1).\nAnswer: 1470*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/10*7230\/1928?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let a be x(1). Let p = -17 - -29. Suppose -g = -1, 4*j - p = -2*g - a*g. Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2\/3 + 158*q\/9 + 52\/9 = 0.\nAnswer: -26, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**6 - 780*k**5*v**2 - 15*k**2*v**2 - 10*k*v + v**2 wrt k.\nAnswer: -360*k**3 - 46800*k**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -3*m - 1. Let i be r(-1). What is the tens digit of i\/(-8)*-2*(126 + 32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.4 less than 10749545?\nAnswer: 10749556.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 67, 75, 83?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50545 is divided by 199.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - 2*m**2 - 2*m. Let d be q(4). Let z = d + -44. Is (-372)\/z + (-4)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 2*m**2 + m + 4. Let s(z) = 10*z - 36. Let n be s(4). Let g(j) = -3*j**3 - 3*j**2 - j - 5. Give n*g(v) + 5*r(v).\nAnswer: -2*v**3 - 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000437056285 to six decimal places.\nAnswer: -0.000437","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 158 + -94. Is 3 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 0, 5*k + 4 + 11 = 5*g. Calculate the lowest common multiple of 6 and -3 + g - (1 - 0\/(-6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 4:55 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 297 and 0.062?\nAnswer: 18.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 4*l - 5, -5*l + l = -4*k + 8. Suppose -w - 222 = -k*w. What is w rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 19*r**2 + 7. Let h(f) = f**2 + 1. Calculate -5*h(d) + m(d).\nAnswer: 14*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -t**3\/3 - 20*t - 1. Let l(n) = 155*n. Calculate z(l(o)).\nAnswer: -310*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27998967 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -1\/6*l**4 - 22*l**2 + 0 + 0*l + 0*l**3. Let a(m) = 4*m**2. Give x(a(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*l**3 + 1587*l**2 - 1575*l**2 - 6*l**3 + 12*l = 0. What is l?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -311002 + 311002.048. Let p = 1 + -3\/4. What is the closest to p in -0.3, v, 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*(-1 + 2) + 3. Let t be (12\/(-48))\/(10\/(-8)). What is the third biggest value in -2\/5, t, j?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257184961?\nAnswer: 11, 23380451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 175*m**3 + 269*m**2 + 264458 wrt m.\nAnswer: 525*m**2 + 538*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 90*z**2 - 47*z - 235. What are the prime factors of n(-6)?\nAnswer: 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8563 * -0.17497.\nAnswer: 1498.26811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 5*w - 2*w)*(1 - 10 - 1)*(-3 + 1 + 1).\nAnswer: -80*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1029*t - 3417 - 1769 = 4821 - 746 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.13 + -4. Let o = 0.46 + -0.76. Which is the third smallest value? (a) o (b) s (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23*-5*(-30212)\/140 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1367 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 168*r**2 - 1033*r - 1927. What is n(174)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -30*q + 1. Let n be m(4). Let x = 835\/7 + n. Which is the second smallest value? (a) -0.2 (b) -0.4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/43740 and -181\/3000?\nAnswer: 2187000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 57338.5 in -0.27, -0.5, -1?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 12*i - 5. Let z(y) = -1 + 3 + 104465*y**2 - 52234*y**2 + 4*y - 52230*y**2. What is 3*q(v) + 8*z(v)?\nAnswer: -v**2 - 4*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 324141529 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 27.5. Sort t, 4, -3, -2\/7 in increasing order.\nAnswer: -3, -2\/7, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 6*l**2 + 2*l + 12. Let i be v(-6). Solve 5*f + 11 + 4 = i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/5 of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83894.8 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-22 - (2 + -4)) - (33 + (-28 - 8)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169413163?\nAnswer: 43, 3939841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wewe when four letters picked without replacement from eeeweweeweweeeweee?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 1110794170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, m: 2, x: 2, t: 2, s: 2, j: 2}. Give prob of sequence tjx.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 13) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -786051, -1572102, -2358153?\n\"Answer: -786051*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13, 24, 41, 64?\n\"Answer: 3*y**2 + 2*y + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -56979*l**3*p**2 + 2443*l*p**2 - 2*l + p**2 wrt l?\nAnswer: -341874*l*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*2\/4 - 732\/(-8).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85.158 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -10987150 to the nearest ten thousand.\nAnswer: -10990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10*l**2 + 2*l - 1. What is x(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -9731 equal to -9726?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8743349 + 13273349. What is q rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004844 rounded to 7 dps?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2261719 is divided by 84.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2635*b**3 - 1455*b**3 + 3921*b**3.\nAnswer: -169*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 920454635\/1092 + -842907. What is the common denominator of w and 59\/3?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/6)\/((-1554)\/(-2664))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107*k**4 + 2*k**3 - 54259*k + 67612871 wrt k?\nAnswer: -428*k**3 + 6*k**2 - 54259","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 7)*1\/2. What is the units digit of ((-3)\/(-9))\/(i\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.0173963 rounded to one dp?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.53 - 0.5. Let l = 0.04 + r. Let p = -0.33 - l. Which is the second biggest value? (a) p (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 11:21 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101217 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1484.423 litres to millilitres.\nAnswer: 1484423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*r + 13*r + 6*r)*(r**2 + 0*r**2 - 15 + 0).\nAnswer: 27*r**3 - 405*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 568*w**5\/5 + 69*w**2\/2 - 3*w - 456. Find the second derivative of o(h) wrt h.\nAnswer: 6816*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -4*i**3\/9 + 26444*i**2\/3 + 158692*i\/9 - 79340\/3 = 0.\nAnswer: -3, 1, 19835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 - 4*k**2 + 5*k - 12. What is the units digit of d(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -251*k - 19377. What is o(-83)?\nAnswer: 1456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -84*r**2 - 416*r - 178. Calculate z(-4).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 2*a - 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1525\/4 + -381. Let w = 0.21 - -2.79. Put w, k, -0.05 in ascending order.\nAnswer: -0.05, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000139559 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 2:56 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**3\/3 - z**2 - z. Let v(f) be the first derivative of 3\/2*f**2 + 1\/3*f**3 - 1 - 3*f. What is 3*n(w) - 2*v(w)?\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) - (sqrt(112) - (0 + sqrt(112))**2)) + 4 - (sqrt(63) + ((1 + sqrt(5103))**2 - sqrt(5103)) + ((sqrt(63) - (0 + sqrt(63)))*-2 - sqrt(63))).\nAnswer: -4988 - 27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2 + 146*j + 4530. Give l(-101).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10126 - 1450. Is v a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 5:37 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1163823970?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -157 - -385. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-15)*(-744)\/(-16)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 4, 514 in decreasing order.\nAnswer: 514, 4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010425 to seven decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 3*i - i)*(-3 + 2 + 3) + (3*i - i - i)*(2 - 1 + 1) - 119*i - 112*i + 223*i.\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69.28 - -0.28. Let d = -68.999661 - m. What is d rounded to five decimal places?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*i - 10*i**5 - 186*i)*(-2 - 1 - 3) + 33*i**2 - 36*i**2 + 3*i**2 - 258*i**5.\nAnswer: -198*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 223 - 203 = 0. Let c = -1 + 1. Suppose 2*o + 2*a - 14 = c, -3*a - 2 = -3*o + 1. Calculate the least common multiple of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 70*i + 2 + 7 - 28*i**2.\nAnswer: -28*i**2 - 70*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(4\/3))\/k*k*k**6)\/((k*k**(4\/3))\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -3891*j**3 - 1766451*j**2 - 200470737*j + 3246327 = 0?\nAnswer: -227, 21\/1297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -191 - -193. Suppose -x*o - 21 + 1 = -4*j, -5*o = 0. Solve 3*n + 4 = j*m, 2*m + m = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453930 is divided by 616?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) 2 (b) -81 (c) 6 (d) -6\/7 (e) 0 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, p: 9, h: 2, k: 4, u: 3}. Give prob of sequence hjkk.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -11*b**7\/14 + 1689*b**6\/280 - 351*b**5\/35 - 11*b**4\/14 + 72*b**3\/7 - 126*b**2 - 16*b. Find s, given that k(s) = 0.\nAnswer: -2\/7, 2\/5, 1, 36\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11804250?\nAnswer: 2, 3, 5, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13701800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 7. Let y be x(-9). Let a be 44\/10 + y\/(-40). Suppose -f = -2*m + a*f + 46, -3*m + 69 = -5*f. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6)*4)*-3.\nAnswer: -3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.4, 2\/155, -2\/3, -99?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1889*l - 1439*l - 3078*l + 1182*l to the form c + a*l and give a.\nAnswer: -5224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**3*j + 2*b**2*j + 2*b**2 + 9*b*j + j wrt b.\nAnswer: -6*b*j + 4*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 0, -4, 417 in decreasing order.\nAnswer: 417, 5, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 325286756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/31, -4, -1, 35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -6*o**3 - 2*o**2 - 2*o + 4. Let c(f) = -13*f**3 - 5*f**2 - 5*f + 9. Give -2*c(i) + 5*j(i).\nAnswer: -4*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -251, -437, -731, -1133, -1643, -2261?\nAnswer: -2987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l + 1. Let z be w(-2). Is z < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (103 + 74 - 25)*(-4 - 3 + 6)*(0*q + 2*q + 0*q) + 2*q + 0*q - q to t*q + m and give t.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 424*m - 210*m - 2*m**2 - 2*m**2 - 214*m.\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 37317795 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1040231 (base 5) in base 11?\nAnswer: -12738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 49475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) - sqrt(160)) + -2.\nAnswer: -2 - sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3 + sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) - (sqrt(252) + 3) - sqrt(252))*6))**2.\nAnswer: -9396 - 1290*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1\/22, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1407 (base 11) to base 15.\nAnswer: -817","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 - 11.77. Let q = 10 + j. Sort 0, -2\/17, q in decreasing order.\nAnswer: 0, -2\/17, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*j**5 - 2*j**3 + 18204*j?\nAnswer: 1000*j**3 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28.2 at least as big as 9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36000 and 1504?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2046*j - 15809 + 15020 = 85143 for j.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 1662*j**2 - 2*j**3 - 1 - 1680*j**2 - j**3 + 6*j**3 in the form l*j + g + o*j**2 + q*j**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28868094 is divided by 4124011.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -68 in decreasing order.\nAnswer: 5, 2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 104*t - 603. What are the prime factors of y(48)?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/495180 and -23\/60522.\nAnswer: 5446980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 9:58 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 20 = -5*x. Suppose h + 16 = x*h. Let p = h - 1. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 3*i = 54. Solve i - 9 = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.8 - -2.657. Let p = 0.243 + l. Let w = -6 + 11. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.093 - 0.407. What is the fourth smallest value in -5, m, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and 7\/2080?\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 f when three letters picked without replacement from lflff?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -12*u + 1. Suppose -84 = 2*q - 72, 5*q = -3*s - 42. Let k(o) = -o. What is s*b(n) + 44*k(n)?\nAnswer: 4*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574412869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*(2*sqrt(2160) - sqrt(2160) - sqrt(15) - sqrt(15) - ((sqrt(60) - 1*sqrt(60)) + sqrt(60))))\/(sqrt(605)*2*-3 - (sqrt(605)*-2 + sqrt(605))*5).\nAnswer: -192*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1116408 and 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(441)\/sqrt(7) + -2)*-2.\nAnswer: -6*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21518 and 3248.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-14)\/(s**(-6\/5)\/s)*s**(-1\/4)*s*s*s*s**(1\/9)\/s*s assuming s is positive.\nAnswer: s**(-1609\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-5))\/(a**32*a))\/(a**(-50)\/a*a\/(a*a**(-49))) assuming a is positive.\nAnswer: a**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 9 + -13 + (13 + -10 - -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3825801664 to the power of 1\/3, to the nearest integer?\nAnswer: 1564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (21\/308)\/(21\/84)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885 + k + 2885.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0\/f)**43*(f*f**(-1\/4))**(-4)*((f**0)**(2\/7))**(-3\/2) assuming f is positive.\nAnswer: f**(-46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/5 and 6954 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eehh when four letters picked without replacement from {u: 1, x: 2, e: 3, d: 5, h: 8, n: 1}?\nAnswer: 14\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1504686 divided by 501562.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -9862, -39914, -89992, -160090, -250202, -360322, -490444?\n\"Answer: n**3 - 10019*n**2 - 2*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 + -272. Solve -2*m + 7*m - 3*q + 4 = z, 0 = -4*m + 2*q - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xv when two letters picked without replacement from vvxvvvxvvvvvv.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 10. Let x be n\/(-4) + (-2811)\/(-6). What is x rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2. Let n(z) be the second derivative of 25\/2*z**4 + 0*z**3 + 0*z**2 + 0 + 102*z. Determine o(n(y)).\nAnswer: -22500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6495061\/1058 + 6139. Let h = 50797\/13754 - z. Solve h*q**2 - 6\/13 + 2\/13*q = 0.\nAnswer: -3\/8, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5 = 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5164490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 + 42. Let x be (6\/(-9))\/p + 64\/12. Let z(a) = 5*a - x - 3 + 8. Let l(n) = -3*n. Calculate l(z(s)).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9*m**3 - 41*m**2 - 4. Let b(p) = -9*p**3 + 40*p**2 + 5. Give 4*b(n) + 5*j(n).\nAnswer: 9*n**3 - 45*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369113708?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10159, -19230, -28303, -37378, -46455, -55534, -64615?\nAnswer: -73698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 56. Suppose -75 = -g*h - 9. What is the remainder when 65 is divided by h?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h*s**3 + 12*h*s**2 + 335*h*s - 3*h - 1391268*s**3 wrt h?\nAnswer: 2*s**3 + 12*s**2 + 335*s - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*r = 66*r + 8. Suppose r*m - 310 = -46. List the prime factors of m.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 2*h**2 + 33*h + 60. Let k be b(-2). Suppose -k = 5*a, 2*z + a + 6 = 14. Solve 3 = -z*v + 8 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4796, 37117, 124866, 295757, 577504?\nAnswer: 997821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -105, -0.095, -2\/5, 2, -1\/5 in ascending order.\nAnswer: -105, -2\/5, -1\/5, -0.095, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose t*d - 32 = d. What is the highest common divisor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 710, 2842, 6392, 11360, 17746, 25550?\nAnswer: 34772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y**(-1))\/(y**(1\/9)\/(y*(y\/(y\/((y**(1\/4)*y)\/y)*y))\/y*y)) assuming y is positive.\nAnswer: y**(293\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:26 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 6*u + 6. Let l be n(-6). Let q be (-15)\/(-9) + (-4)\/l. Suppose -3*y + 23 = 5*i, -2*y + 5*i = -q - 6. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 5*q**4\/24 - q**3\/3 + 3*q**2. What are the prime factors of c(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**2 - 25 + 19*y**2 - 13 + 3*y - 8*y**3 + 3*y**3 + 4*y**3. What is q(17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208844?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -48727, -48760, -48801, -48844, -48883, -48912?\n\"Answer: p**3 - 10*p**2 - 10*p - 48708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/9)\/k**(5\/2))\/(k**(-3)*((k\/((k*k*k**(-1\/3)*k)\/k))\/k*k)\/k))**(5\/4) assuming k is positive.\nAnswer: k**(205\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3587797.\nAnswer: 3587797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 14*r - 53. Let s(c) = 14*c - 46. Give 6*s(i) - 5*w(i).\nAnswer: 14*i - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -0*r - 3*r. Let i = 21 + r. Which is bigger: i or -1\/30?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 299 + -96. Suppose 2*z + s = 645. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -7*l + 768. Calculate the highest common factor of 168 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + 2. Let u be f(0). Suppose 3*z = 2*z - 6. Let d = -11 - z. Let a(h) = -3*h + 2. Let i(r) = -7*r + 4. What is d*a(x) + u*i(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-9)*12\/8. Calculate the greatest common factor of j and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**3 - 2*k**2 + k - 18. List the prime factors of t(-5).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5914534419.\nAnswer: 3, 657170491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 3*l - 5. What is the tens digit of w(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + (-3*3*sqrt(128))**2 - ((sqrt(128) - (sqrt(128) + -6*(2 + sqrt(128))))**2 + sqrt(128))) + -4.\nAnswer: -1152*sqrt(2) + 5612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2854412, -5708795, -8563180, -11417567, -14271956, -17126347?\nAnswer: -19980740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/26 - (73948\/(-26))\/14 is divided by 86.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(8\/7)*o**(2\/21)\/(o*o**(-2\/17)*o))\/(o**(-1\/3)\/(o**(-11)*o))**(-19) assuming o is positive.\nAnswer: o**(64523\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -7, 17, -1, 2, 4, -3 in increasing order.\nAnswer: -48, -7, -3, -1, 2, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 - (8 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 7*t - 24. Suppose t*y - 3*g + 2*g - 46 = 0, 5*g - 34 = -2*y. What is the least common multiple of 8 and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8944*u = 8939*u - 4*z - 15, 0 = 4*u - 14*z - 74 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 191.059 + -0.059. Let j = l + -187.29. What is j rounded to one dp?\nAnswer: 3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 3:21 AM?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*u + 141. Let n = u - -10. Let x = 44 - n. Solve r + 0*r = x for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 2*x. Let y be h(-2). Let u = 97 - 90. Are u and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217862?\nAnswer: 2, 97, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 62413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = 8*p. Solve 0 = 3*x - 0*x - 4*k + 29, 0 = p*k - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 1. Let g be f(-1). Let b = 3 + -4. Let i be (b + -3)*3\/6. Which is bigger: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 8, 24, 60, 122, 216, 348, 524?\nAnswer: 750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11134 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 3*b**2 - 26907*b + 26904 = 0.\nAnswer: 1, 8968","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -2184*p + 2185*p + 32, -49*p - 5*a + 151 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1665, -1721, -1755, -1755, -1709?\nAnswer: -1605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 5\/3, 23\/11, 1\/3, 2, -2.658?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of g**7\/240 + 139*g**5\/60 - 145*g**2. Let n(h) be the third derivative of l(h). Let s(m) = -2*m. Calculate n(s(k)).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.036 (b) 0.2 (c) 6782 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**2 + 2*n**2 + 2*n**4 - 7*n**4 + 8*n**4 + 27*n**4 + (-3 + n + 3)*(4*n - 4*n - n**3).\nAnswer: 29*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/8 + 3)*(4 + -6 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*h\/((h**(3\/8)*h*h)\/h*h)*(h**(-1\/2))**(-34) assuming h is positive.\nAnswer: h**(141\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 1:38 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/1916?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 8 + 24 + 7*m)*(-1 + 2 + 2).\nAnswer: 6*m + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (12 - (13 + -9)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(38)*3*3)\/(-4*sqrt(2)*-1))**2.\nAnswer: 1539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17917 is divided by 943.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-1451)\/(-23) + (-12 - (-1644)\/138) and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xgkkpgiqx. Give prob of picking 1 p and 1 x.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 596*h - 6. What is the hundreds digit of r(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 5*w**3 - 2*w**4 - w**4 + 27 - 8 as o*w**2 + y*w**4 + m*w + s + l*w**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - m = 224, 31 + 12 = v - 2*m. Suppose -4*k - k + 180 = 0. Suppose 2*u = -0*u + k. Calculate the greatest common divisor of v and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, f: 9}. What is prob of picking 4 f?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 596133 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: How many minutes are there between 6:05 PM and 11:32 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 908358*d**3 - 908361*d**3 + 3 + 1973*d in the form m + g*d**2 + i*d + y*d**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 - u. Let c be w(-1). Let t = 926 + -811. What is the greatest common divisor of t and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1519 + 284a0a?\nAnswer: 286428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k, k - 12 = -z. Let o = z + -7. Suppose 3*d = -o*l - 267, -l - d = 2*d + 51. Round l to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*i**5\/6 + 245*i**4\/6 + 493*i**3\/2 - 5597*i**2\/6 + 2966*i\/3 - 338 = 0. Calculate i.\nAnswer: -6, 1, 338\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-228)\/(-15))\/(2 + (-24)\/15)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1155*s + 1154*s + 1037. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60328.34 grams in tonnes?\nAnswer: 0.06032834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 2:29 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507019398 to the power of 1\/2, to the nearest integer?\nAnswer: 22517","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11505 (base 7) in base 3?\nAnswer: 11002220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -196, -350, -504, -658, -812?\n\"Answer: -154*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/6 and -101\/3264.\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 84764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981307469 is divided by 390?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9079 - -0.1079. Which is the third smallest value? (a) m (b) -0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 6*c - 8. Suppose 4*l - 828 = -8*l. Suppose -11*s = -3 + l. What is i(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbh when three letters picked without replacement from {f: 2, l: 1, h: 4, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1291 - 1274. What is the remainder when r is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3202777.11 rounded to the nearest one hundred?\nAnswer: -3202800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 1. Calculate u(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*v = -37, 27 = 4*s - 3*s - v. Suppose 2*w - 3*w = s. Is 21 a factor of 12\/(-8)*w - 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 + 3*f + 2. Let u = 5 + -2. Let w be (-2)\/4*(10 + -10). Let l = u + w. Give s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Suppose -k + 495 = 5*p, 4*k + 320 = o*p - 0*k. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgp when three letters picked without replacement from ggugpgppugu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1977104844 is divided by 866?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -12*y**2 + 40*y + 51. Let h(f) = -19*f**2 + 60*f + 77. Let c(v) = -5*h(v) + 8*n(v). What is the hundreds digit of c(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1250?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -1. Let m be (0 - (-5402)\/(-4))*u. Let k = -27047\/10 + m. Find the common denominator of k and -97\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 261, 258, 255?\n\"Answer: -3*k + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -6*w - 6*w - 92*w**3 - 52*w**4 - 139*w**3 - 95*w**4 - 96*w**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w + 0*w + 12 - 2*w. Let b be h(-5). Let r be -2*2*(1 - b). Solve 0*j + r*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-6)\/(-4))*-2. Let h(s) = s - 1. Let d(g) be the first derivative of -1\/2*g**2 - 3 + g. Give w*h(t) + 6*d(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 357 - k - 357.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34028429 is divided by 5177?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Let z be w(2). Suppose -z*f - 5*f = 0. What is the nearest to f in -0.1, -2\/3, -2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-12)*(-24)\/110.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -529*s**3 + 372*s**3 + 590*s**3 + 719*s**3 + s**3 - 7*s**3 + 3*s**3 + (-3*s - s + 2*s)*(-4*s**2 + s**2 + 4*s**2).\nAnswer: 1147*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 423, 2, 1 in decreasing order.\nAnswer: 423, 4, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3*c + 14 = 0, -5*q - 20 = -1041*c + 1036*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16245?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200 + 136. Let t = y + 81. Solve 3*f + 0 = n - t, n + f = 1 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47951489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -1 (c) -0.15 (d) 310 (e) 1\/6 (f) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 - (-134 + -93 + 208).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400432883 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 339112 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*z - z**5 - 10*z + (-4*z**4 + 0*z**4 + 2*z**4)*(-5*z + 12*z + 4*z).\nAnswer: -23*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/((-4)\/(-5))) + 0\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2507*-11.\nAnswer: 27577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 6 - o + 4 + 0*o**2 + 0*o**2 - o**4 as j*o**2 + f*o**3 + g*o + r + p*o**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j\/(j*j**(-1)))\/j)**(7\/4)*j**(2\/17)\/j**(-10))**(2\/31))**5 assuming j is positive.\nAnswer: j**(1720\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 3*c + 473. Is 13 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:18 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 32 = t. What is the highest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -p**4\/4 + 3*p**3 - 3*p**2 - 5*p - 3. List the prime factors of c(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -496 divided by 4\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3186780*f**4*x**3 + 11*f*x**3 - 170*f*x - x**3 + 4 wrt f?\nAnswer: 38241360*f**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, g: 5, y: 1, p: 3, x: 1, i: 1}. What is prob of sequence fffp?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -744806 and -0.5.\nAnswer: 372403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2401183, -2401181, -2401179, -2401177, -2401175?\nAnswer: -2401173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 90 = -20*b. Let m = b - -2. Differentiate -9*c**2 + 1890*c - 1890*c + m with respect to c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6194 + 8050. Is 29 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74263 and 3605?\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*t = -64*t + 90. Calculate the greatest common divisor of 186 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78.92 - -79. Sort -0.3, 5, u, -0.1 in decreasing order.\nAnswer: 5, u, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 4*h + 273 + 2152, 0 = -4*k - 4*h + 1940. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-29)\/145 + 18\/(-10). Let v(z) = -2*z - 8. Let l be v(t). What are the prime factors of 1 - -4 - 268\/l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 17*v**4\/24 + v**3\/3 + 8*v**2 - 1. Let s(c) be the second derivative of r(c). What are the prime factors of s(5)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54237, 54236, 54235, 54234, 54233, 54232?\n\"Answer: -u + 54238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6652 divided by -431?\nAnswer: 6652\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 440684174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 816*h**2 - 771*h**2 + 1.\nAnswer: 45*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyyqdqq. What is prob of picking 2 y and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.391 + 0.209. Which is the smallest value? (a) 1\/11 (b) p (c) -2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151768541 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {n: 1, r: 1, j: 3, g: 1, c: 5, p: 2}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3871 - 1030*i + 1238*i - 3871.\nAnswer: 208*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from bbbhhbbvbhhhhhbhhvv?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 5) + 3 + (-7 - -6). Let d = 1\/5 - 9\/20. Is d greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/8 - (-2361)\/(-6296).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 890127229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3588 (base 12) to base 3.\nAnswer: 22020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r = -20. Suppose -4*k + 18 = -2*f, r*f = -2*k + 3 + 1. Solve -k*l + 2*j - 5*j - 31 = 0, l - 4*j = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1685, 5, 2, -106, -4 in decreasing order.\nAnswer: 1685, 5, 2, -3, -4, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 12. Let j = 7 + 2. Let c be u(j). Is c - (1 + -2)*242 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58590, -117100, -175650, -234240, -292870, -351540?\n\"Answer: -20*q**2 - 58450*q - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2 - 9*o**2 - 12*o**2 + o**3 + 17*o**2 - 2*o. Suppose 0 = -3*s - 2*l + 16, -s = -6*s + 5*l + 35. Let k be 8\/s*-1*198\/132. Determine d(k).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 37*q - 19. Let o be a(6). Suppose -2*p - 7*i + 2*i = -o, -2*p - i = -199. Suppose 98*s = p*s - 8. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -2428568?\nAnswer: -2428563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k - 2817 + 1811 = 5066. Calculate the greatest common divisor of 198 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and -0.0809096?\nAnswer: 1.618192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2497 - 2496.87. Is s less than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -79.183. Let f = -0.182883 + m. Round f to five decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -127b0 (base 12) to base 10\nAnswer: -25332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149841*p**6 + 2*p**2 - p + 17113.\nAnswer: 17980920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -715*m + 710*m + 10765 = 0. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -48) + -6 + -7 + 13 + 7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + o**2 - 9*o + 56. Give n(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*3\/((-2)\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*c**3 + 13*c**3 + 18*c**4)*(1 + 2*c - 2 + 0).\nAnswer: 36*c**5 - 18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2358 by 6.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.48 + 9. Let p = -72.92 + d. Let h = p - -74. Sort -2, h, -1\/9, -1\/8 in ascending order.\nAnswer: -2, h, -1\/8, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 minus -1427016.1?\nAnswer: 1426964.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i - 7*i - 7*i - 20*i**2 - 33 + i**3 - 3*i. Does 5 divide f(21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 - 5*k - 10. Let u be x(10). Suppose -40 = -5*z - m, -2*m = 6*z - 10*z + 32. What is the highest common divisor of z and u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 540 = -2*u. Let i = u + -56. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*d, 83*d + 12 = 2*y + 79*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millennium in decades?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -0*k - 22. Suppose 5*y = -1 + k. Let d = y + -2. Solve d = 5*t + 27 - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 15) to base 2\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/4*(-90)\/(-48) + 1. Let a(f) be the first derivative of 3 - 1\/12*f**3 + 1\/4*f - y*f**4 + 1\/8*f**2. Find w such that a(w) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 12*x - 87. What is o(-12)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -21*a**2. Let z(d) = -2603*d. Determine z(j(b)).\nAnswer: 54663*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1938 - 76 = 106*k for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9\/52 + -1\/13. Put 1\/6, 0, k in descending order.\nAnswer: 1\/6, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/6 + (-2)\/3. Suppose 4*y - q - 10 = 0. Suppose 0 = 5*k + y*v - 0*v + 10, 5*k + 2*v = -5. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a factor of 17131266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -21*n. Let q(b) = b + 11*b + 8*b + 4*b - 14*b. Calculate -6*h(i) - 13*q(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-18) + (-11834)\/(-1098).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + h**2 - 3*h - 29. Let a(l) = l**3 + 2*l + 22. Let b(u) = 5*a(u) + 4*i(u). Suppose -v + 20 = -6*v. Calculate b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1384 + 2769\/2. What is the biggest value in -2, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 9*b + 40. Solve -7*j + b*j**2 + 10*j + 2*j**3 - 2*j**2 + 4 + 7*j = 0 for j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 52 = 12. Let x be (3 + -1)\/(4\/p). What is the remainder when x\/(-22) - 251\/(-11) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -481*a - 9789. Determine u(-23).\nAnswer: 1274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ab01625 + -9?\nAnswer: ab01618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67 + 67 + 3*a**2 + 0*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12794320 divided by -8680.\nAnswer: -1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -221 less than -221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 160*c**2 + 4*c - 160.\nAnswer: -4*(c - 40)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52393 is divided by 347.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -210 - -1049\/5. Which is bigger: 98 or g?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**3 - 145 + 145.\nAnswer: 23*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 9*w. Let o(q) = 10*q**2 + 27*q. Let h(u) = 2*o(u) + 7*x(u). Let f be h(-9). Suppose f = v + 3*v - 152. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477220 rounded to the nearest one thousand?\nAnswer: 477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 242305 and 2580?\nAnswer: 2907660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37.587 - 29040\nAnswer: -29002.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 10*h**2 + 10*h + 16. Let g = 53 - 38. Let n = g + -4. What is the lowest common multiple of k(n) and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24057130 and 39625?\nAnswer: 1585","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + y. Let f(q) = -24*q**3 + 16*q**2 + 8*q. Let x = -5 - -9. Suppose -2*a + x = 2*a. Let m(r) = a*f(r) - 20*s(r). Factor m(i).\nAnswer: -4*i*(i - 3)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 11657, 11650, 11643, 11636, 11629, 11622?\n\"Answer: -7*g + 11664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -215 - -221. Suppose -4*q = 3*i - 22, 0*i + 2*i = q. Suppose -3*j = -3, 2*f - g*f - i*j + 42 = 0. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1008) - (sqrt(1008) - (sqrt(1008)*4 + sqrt(1008)))))**2 - ((5*sqrt(280) - sqrt(280))\/sqrt(10))**2.\nAnswer: 906752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 7 - 2. Let p be f*2*(-32)\/48. Calculate the remainder when 1285\/25 - p\/(-10) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsggggggggggg. Give prob of sequence gg.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3390 + 3390. Let y be (-115)\/(-3) + 3\/9. Let w = y - 38. What is the nearest to -1 in -5, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -13 - (2 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*l**3 + 337*l**3 - 662*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 24708?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 7*u**5\/60 + u**4\/12 + u**3\/6 - u**2. Is f(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - t + 1. Let i(z) = -z**2 - 4*z + 2. Suppose -n - 4*n = 20. Let r(o) = n*a(o) + 2*i(o). Find the second derivative of r(f) wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 divided by 101?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -330, -316, -280, -216, -118, 20?\n\"Answer: u**3 + 5*u**2 - 8*u - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 0. Suppose -2*x = 78 + 274. Let r = 281 + x. Calculate the greatest common divisor of q and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.59 + -3.59. What is the nearest to 0.2 in 6, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101022 - -2212221?\nAnswer: 10021020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.15 in 4, 0.5, -121, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44575 and 975.\nAnswer: 1738425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a factor of 74680122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, -42, -289, -536, -783, -1030?\n\"Answer: -247*t + 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v + 1 + 0*v**2 - 2*v**4 + 2*v**4 + v**2 - 2*v**4 in the form f*v**2 + k + h*v**3 + d*v + n*v**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sswn when four letters picked without replacement from nnnnwnsnsnnnnsnwnw.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 15 = z + 9*k, 5*z = 2*k + 21. Let d be -2 + 4 + (-5)\/z. Suppose 0 = 5*v + 5*j - 10, -v + d = v - j. Are 0.05 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1978 + q - 1818 - 2*q to n*q + s and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2*w = 115, 3*p + 2*w - 65 = -0*w. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 - -71. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 e when four letters picked without replacement from {e: 2, a: 5, u: 1, h: 1}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 19 = 2*l, -v + 3*l - 71 = -5*v. Suppose 3*h = -4*z - v, 6*h - h = -z. Let g = -5.4 - -5. Which is the nearest to 0.1? (a) h (b) 2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*q - 27 + 27 as i + r*q and give r.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11070432 divided by -96\nAnswer: 115317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4470 + -1633. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 70 = 2*m. Suppose 42 = 9*s - m*s. Let n = -38 - s. Solve -5*v + 40 = -5*d, 0 - n = -d - 2*v for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -231274300 to the nearest one million.\nAnswer: -231000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -1610267 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1359)\/44847)\/(2\/6).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -208 at most -239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 84*s + 321*s + 27*s + (1 + 0 - 2)*(-3*s + 2 - 2).\nAnswer: 435*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-2))\/(13 + (5 - 21))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 14*d**2 - 11*d + 4. Let c(s) = -s**2 - s - 2. Let m(h) = h**2 + 4*h + 5. Let l(i) = 8*c(i) + 3*m(i). Determine 3*b(r) + 8*l(r).\nAnswer: 2*r**2 - r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z + 292*z + 644*z.\nAnswer: 1001*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y - 77 + 54 = r + 4*y, 0 = -5*r + y - 59 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727247.\nAnswer: 3, 241, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 7*t**2 - 26*t**2 + 15*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from riorooo. What is prob of sequence io?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13642, 13554, 13416, 13228?\n\"Answer: -25*l**2 - 13*l + 13680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-873*r + 607*r + 398*r)*(3*r**2 + 4*r**2 + 0*r**2) as v + t*r**2 + i*r**3 + s*r and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - m + 2*m - 4 + 4 - m + (1 - 2 - 2)*(-4 + 4 + 2*m) + (1 + 0 - 2)*(-5*m + 4*m - m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 13, 5 in decreasing order.\nAnswer: 13, 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 6*k = -9*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1066 = 4*b + 1054. Suppose -t - 7*r + b = -4*r, -2*t + 6 = 5*r. Let z(d) = -2*d**2 + 2*d + 1. What is z(t)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 + 6*z. Let x be y(3). Let n be (6\/x)\/(8\/81). Let t = 25\/4 + n. Put t, 0.1, 0.02 in descending order.\nAnswer: 0.1, 0.02, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2)*2 + 24\/16\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-17 + 33 - 19) + 8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -10*q - 1. Suppose -33*p + 0*p = 99. Determine m(p).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 376259977 and 2.\nAnswer: 752519954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.69 + -4.65. What is the second smallest value in -0.3, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -3274*d**2 - 2866*d + 2042. Differentiate g(v) with respect to v.\nAnswer: -6548","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/28 + 155\/210?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -13 (c) -3\/13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d - 1 - 4*d + 3*d. Let x be 2 + (0 - 3) + 7. Does 20 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 43829.4836.\nAnswer: 43827.4836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 55093 - 263?\nAnswer: 54830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 5)*(30*n - 2*n + 13*n + 6*n - 4*n - 4*n + (n + 2 - 2)*(-2 - 1 + 1)) to the form d + u*n and give u.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1225153 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/19 (b) -9\/164 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32477 divided by 47\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23.1 - 1.3. Let r = 4.2 + a. Let l = r + -31. Sort l, -0.2, 13.\nAnswer: l, -0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/147 and 159\/(-9)*(-20)\/(-28)*(-3)\/15?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 + 34. Let q(w) = -w**2 + 3*w. Let b(n) = -n. Suppose 3*v = v + 5*o + 2, -v + 2*o + 1 = 0. Let j(d) = v*q(d) + 3*b(d). Give a(j(t)).\nAnswer: t**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1925675510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1264076289511 - -5.\nAnswer: -1264076289506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(-2 - (-5 + 2)). Suppose 0 = -5*h + v*h + 3. Factor -d**2 + 0*d**2 + d**2 + h*d**3 - 3*d.\nAnswer: 3*d*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(4\/2*2). Suppose 2*t + 4 = 3*t. Put j, -2, t in decreasing order.\nAnswer: t, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**7\/21 + p**6\/15 - 94*p**5\/5 - p**3\/6 + 1963*p**2 - 4421*p. What is the second derivative of w(d) wrt d?\nAnswer: -40*d**3 + 24*d**2 - 2256*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.188 - -0.138. Let q = 0.15 - r. Let k = q + 0.8. Which is the nearest to -2? (a) -3 (b) 4\/7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110202, -110190, -110174, -110154?\nAnswer: -110130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23436 take away 60.3?\nAnswer: -60.53436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 11:50 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707050987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 237 - 237 - h**2 - 151*h.\nAnswer: -h**2 - 151*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 - -2464564702.\nAnswer: 2464564960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -107*f**2 + 83*f - 4. Let n(r) = 54*r**2 - 43*r + 2. Give 7*c(s) + 13*n(s).\nAnswer: -47*s**2 + 22*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 8 = g. Suppose -45 = -g*x + x. Calculate the highest common factor of x and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5 = 3*p. Suppose -227 = -p*q + 2*y, 3*q - 26 - 123 = -2*y. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 246*c**2 + 2*c - 318*c**2 + 167*c**2.\nAnswer: 95*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 557, -0.06206.\nAnswer: -0.06206, 3, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = -10*o - 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 7:48 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:33 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1168 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 21)\/(20\/(680\/(-221)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6*q**2 + 37*q + 3. Let n be c(6). Suppose 112*r = 84*r + 28. Sort n, -3, r in descending order.\nAnswer: n, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 9*f + 17. Calculate c(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.1207 to two decimal places.\nAnswer: 7.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 4 (c) -1701\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 448 - 286. Suppose -k - s + 77 = 0, 2*s + 0*s + i = 2*k. Suppose -a - 415 = -6*a - 5*c, a - k = 3*c. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 52*f**2 - 51*f**2 + 0 + 8. Let h be l(7). Let s = h - 12. Calculate the greatest common factor of 15 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.1, 0.4, -2\/139 in descending order.\nAnswer: 0.4, -2\/139, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**6\/40 - 27*s**5\/5 + 1087*s**4\/8 - 2371*s**2. Find the second derivative of p(g) wrt g.\nAnswer: -18*g - 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 950, 1914, 2912, 3950, 5034, 6170, 7364, 8622?\n\"Answer: r**3 + 11*r**2 + 924*r + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8) + (-750)\/(-4). Suppose 0 = -g + o + 56, -2*g - 2*g = 5*o - s. Suppose -p = p - g. What is the remainder when p is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1122)\/(-26) - 6\/39. Suppose q + 4 = c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1270363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 9241?\nAnswer: 9241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -1531 (c) 17842\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/15)*h)\/(h\/h**(-2\/25)))\/((h\/(h\/(h\/h**(-1\/10))*h))\/(h*((h*h**(-22)*h*h*h)\/h)\/h*h*h)) assuming h is positive.\nAnswer: h**(-2597\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3010, -6010, -9010, -12010?\nAnswer: -15010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a - 9. Let l(o) = 16*o + 46. Suppose 5*f + 6 = -4. Let z(v) = f*l(v) - 11*k(v). What is z(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -744*r + 741*r + 4*p + 24, -5*r + 0*r + 16 = -3*r - 2*p for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 + -4 + 6. Let o(h) = -h**2 + 9*h + 27. Let b be o(11). Solve -2*r - 2*r - b*f + 16 = 0, 0 = -t*f for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 f, and 1 n when three letters picked without replacement from {i: 3, u: 2, o: 1, f: 4, n: 3, e: 2}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 - 1 + 1)*(653*o + 34*o**2 - 653*o + (5 - 5 + o)*(o + o - o)) - 186*o**4 - 26474 + 26474.\nAnswer: -256*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 14. Let j(q) = 70*q**2 + 7*q - 83. What is j(z) - 6*p(z)?\nAnswer: 64*z**2 + 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -30\/169?\nAnswer: -30\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 41. Suppose -6*l - 8 = -8*l. Let w be 1 + 16\/l + -5. Let d be u(w). Solve 2*y - 3*y - z + 9 = 0, 4*y + 5*z = d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -1)*(-3 - -3). Suppose s*b - 5*b = 10. Is b\/(-8) - 174\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 31 = 4*b - 13, 5*l + 9 = 8*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1586, 1555, 1496, 1403, 1270?\n\"Answer: -z**3 - 8*z**2 + 1595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3114541 and -4435.27?\nAnswer: 3118976.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -71020 (base 13) in base 8?\nAnswer: -612646","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8681 or -1\/6?\nAnswer: -8681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -15*v**7\/14 + v**5\/10 - 7*v**4\/12 - v**3\/2 - 38*v. What is the third derivative of n(y) wrt y?\nAnswer: -2700*y**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*j + 19*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 - 228*a + 224.\nAnswer: 4*(a - 56)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01 and 0.30761522729.\nAnswer: 0.31761522729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*q = -243*q + 99*q - 17404 - 4943 for q.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99451498 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4902 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from okkffvkkukkkuuku.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44.9 + -45.1. Let y be (-20)\/9 - (-3 + 1). Which is the second biggest value? (a) p (b) 13\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 28*x**2 - 4*x - 18. Let t be i(-3). Suppose -4*a + 526 = t. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -0.3 (c) 1\/2 (d) -3 (e) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from -0.903.\nAnswer: 8.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 296636?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -29, -50, -69, -80, -77?\n\"Answer: k**3 - 8*k**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77522?\nAnswer: 2, 83, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 2*a**2 + 5*a - 4. Let h be z(3). Suppose 0 = h*j + j. Let y be (1 + (-6)\/9)*-4. What is the second biggest value in -2\/7, j, y?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2\/11 (b) 0.13 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -v**5\/20 - v**4\/2 - 2*v**3\/3 - v**2 - 3*v. Let y be a(-6). Let p = -12609 - -12610. Put 0.5, y, p in decreasing order.\nAnswer: y, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2*h - 6, 2*a + h - 3 = 4*a. Suppose 5*z + 5 = 4*r, -4*r + 8 + a = -4*z. Suppose -5*y = 3*n + 4, -z*n + 3*y - 40 = -y. Which is greater: -7 or n?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of a**5\/20 + 3*a**4\/4 - a**2 - a + 45. Calculate t(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 4*l - 1. Let a be c(-4). Let v(i) = i**2 + i. Let z be v(a). Solve z*d = -5*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p + 3*q + 12, -16 = -4*p - 4*q. Let v(g) = 16 + 2*g - 11 - 11. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/33*(-6)\/(-3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 260*w. Let d(c) = -2795*c + 111 - 111 + 2802*c. Give d(b(r)).\nAnswer: 1820*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -263 + 167. Let r = 111.4 + z. Let u = r + -15. Which is the third biggest value? (a) -1\/6 (b) u (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 870461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of n**6\/150 - n**5\/50 - n**4\/60 + n**3\/15 + 3*n + 3. Let p(c) be the first derivative of o(c). Factor p(d).\nAnswer: d*(d - 2)*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 (base 6) in base 9?\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 + 82*k**2\/5 - 160*k.\nAnswer: -2*k*(k - 25)*(k - 16)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in 16, -521, 6\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 14*f + 39. Which is the nearest to 2? (a) f (b) -3\/4 (c) -2\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/35*(-21)\/(-6)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 576 - -111. What are the prime factors of v?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -772*n + 7 + 56 + 770*n. Let u be b(-7). What is the greatest common divisor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + k**3 + 7368 - 426 - 961.\nAnswer: k**3 - 2*k + 5981","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f - 91 = -t, 4*t = f - 111. Let o = -791 + 824. What is the remainder when f is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 2, o: 3, h: 1}. What is prob of picking 1 o and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*r**2 - 8 + 3*r - 37*r**2 + 239*r**3 - 251*r**3 to the form v*r**2 + t*r + s*r**3 + c and give s.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39650, 39651, 39652, 39653?\nAnswer: 39654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 9, -0.3, 2\/2509 in decreasing order.\nAnswer: 9, 5, 2\/2509, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3443 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 1218?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.112904 to 3 dps.\nAnswer: -0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 - -29. Let l = c - -3. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1795\/798)\/(36 + -35). Let d = a - 2\/57. Find the common denominator of d and 73\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {r: 2, w: 5, c: 9, i: 3}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 174536608 to the power of 1\/3, to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 - -87. Let o = 2\/187 + 179\/748. Which is the smallest value? (a) 0 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 94*x = 96*x + 9 + 4, -3*x = -4*k + 27 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*t - 960, -2*j + 0*j - 5*t = -617. Suppose -318*d + j*d = -154. Calculate the lowest common multiple of d and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -840 (base 11) in base 12?\nAnswer: -704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z - 2*z**3)*(44*z - 173*z - 35*z + (3 + 2 - 4)*(2*z + 0*z - 3*z)).\nAnswer: 330*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19063151 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3072*f - 47*f**2 + 503*f**2 + 1388*f**5 - 696*f**5 - 694*f**5 wrt f?\nAnswer: -40*f**3 + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68346?\nAnswer: 2, 3, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1285*n - 57616 = -23035 + 91532 - 25883 for n.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10216106.\nAnswer: 2, 5108053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*q + 5111, 0 = -4*m - 5*q + 7245 + 3010. Suppose -36*n - m = -52*n. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -379, -632, -871, -1102, -1331?\n\"Answer: -c**3 + 13*c**2 - 285*c - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let u(i) = 192 + 194 - 386 + 2*i**2 - 39*i**2. Give u(a(h)).\nAnswer: -148*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011100010110 (base 2) to base 5.\nAnswer: -310011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/29, 18066, 2\/7, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) -4 (c) -8\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**3 + 9*j - 9*j)*(-6*j**2 + j**2 + 3*j**2).\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 8 + 5 + 6 - 951*y**3.\nAnswer: -951*y**3 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in thirty-three tenths of a microsecond?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x**2 - 71*x + 35. Let v(a) = -3*a**2 - 36*a + 15. Let i(h) = 3*k(h) - 7*v(h). Let i(r) = 0. Calculate r.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -30 + 18. Let d = 20 + l. Let k = -7.4 + d. Round k to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v - 19. What is the smallest common multiple of 44 and n(-3)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/12 - 2*p**3\/3 - 5*p**2 - 2*p - 1. Let c(j) be the first derivative of l(j). Does 5 divide c(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128458921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1286945*o + 2*o**2 + 1286945*o - 3327.\nAnswer: 2*o**2 - 3327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 18486?\nAnswer: -18489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 515 = 2*t + 3*c, 54*t - 55*t + 256 = c. List the prime factors of t.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -25130\nAnswer: -50260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 2:03 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 equal to -348\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16782 is divided by 112?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nniinnniniiinnnniiin. Give prob of sequence in.\nAnswer: 99\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 2*t - t**3 + 2*t**3 - t**3 + 2*t**3 + (0*t**3 + t**3 + 0*t**3)*(0 + 2 - 3) - t + 6590*t**2 - 3*t**3 - 6741*t**2 + t**3.\nAnswer: -t**3 - 151*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**3 + 3*y**2 - 3*y - 9. Let n be v(-3). What is the common denominator of (-2)\/9 + 628\/n + 6 and -17\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 divided by 9?\nAnswer: 266\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - (-9)\/2. Suppose 0 = -2*n + 3*n. Solve n = 4*k + i + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -5*q + 30. Let p(u) = -u - 1. Let w(n) = a(n) - 4*p(n). What is the remainder when w(0) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**2 - 4*r + 1. Let x(a) = -6 - 5*a**2 - 1 + 9 - 5 + 9*a. What is 7*h(z) + 3*x(z)?\nAnswer: -z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 572*a + 2256. What are the prime factors of k(21)?\nAnswer: 2, 3, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1912711 is divided by 10395.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i = 9*i. Let g be (0 - i)*12\/36 + 4. Suppose 0 = -g*s - 2*s + 12. Solve 22 - s = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37377 is divided by 1495.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321 a factor of 4311161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5908*p + 22676*p + 5976*p + 15152*p.\nAnswer: 37896*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 - -720. Let m = 3174\/13 - x. Let i = -0.36 - -0.06. Which is the second biggest value? (a) -5 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -604746.8757105 - -604747. Let l = h - -3.8759155. Let s = l - 4. What is s rounded to 5 dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -170.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 561, 1851, 4001, 7011, 10881, 15611, 21201?\n\"Answer: 430*i**2 + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 1259?\nAnswer: -1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002938843 to seven decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of 0 + 1\/30*l**5 - 1\/4*l**4 - 7*l**2 + 1\/6*l**3 + 0*l. Let f be p(3). Which is greater: 7 or f?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.775413 rounded to one dp?\nAnswer: 60.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 957 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 14. Let j be 4\/(-1) - 1 - 2. Does 7 divide n(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/14443 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 6. Solve 4*t - 8 + 0 = 0, k*h - 2*t = 6 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97783445, 195566889, 293350333, 391133777, 488917221?\nAnswer: 586700665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 10 = -2*d - 7*f, 3*d = -28*f - 15 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-196)\/343 - (-66800)\/35 and 45.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2197*f - 46. Is y(-3) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -1\/48, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120\/(-32)*(-7)\/(-35).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*t - 31 - 35 = 0, 4*y - 109 = 3*t. Suppose 3*u - 4 = v - 0, 0 = 2*u - 2*v - 8. Suppose -o + 6*o - y = u. Solve 1 - o = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172368 and 1881?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164495 is divided by 2947?\nAnswer: 2410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 37 = 5*l, 3*q + 52*l = 59*l - 46 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 14*j - 8. Let s be i(15). Suppose 4*d - s = 7*d - 5*o, 23 = 3*d + o. Are 0 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3*f**3 + 9654696*f**2 - 366881697*f + 3485386410 = 0.\nAnswer: -3218270, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*m**2 + 15*m**2 - 14*m**2.\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6628473?\nAnswer: 3, 19, 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23220)\/2709*14\/(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/24)\/(40\/300)*(2 + 1827\/(-915))?\nAnswer: 1\/122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6093*a**5 + 2*a**2 + 90*a + 6 wrt a.\nAnswer: -365580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 12 - 18. Let z(a) = a**3 + 2*a**2 + 10*a - 10. Let r be z(-5). Calculate the common denominator of 363\/2*p\/r and -53\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, m: 9}. What is prob of sequence mdd?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -2487.6676.\nAnswer: -2487.6676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 5) to base 7.\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(31 + 77 - 41).\nAnswer: 67*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1218316\/3 - -406106. Factor x*m**3 + 8\/3*m**2 + 10\/3*m + 4\/3.\nAnswer: 2*(m + 1)**2*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -10*q**2 - 6*q + 5. Let f(y) = -y**2 - 2 + 6*y - 3*y + 6*y**2. Let m(o) = 5*f(o) + 2*k(o). What is the second derivative of m(j) wrt j?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h + 7 + h**2 + 0*h + h. Let u(c) be the first derivative of 2*c**2 - 2. Give u(f(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awsw when four letters picked without replacement from {j: 2, w: 2, a: 4, s: 2}?\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 18*x - 14. Let i(j) = -j**2 + 5466*j + 1. Determine l(i(a)).\nAnswer: -18*a**2 + 98388*a + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7822, 15640, 23458, 31276?\nAnswer: 39094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 757.3679ng in micrograms?\nAnswer: 0.7573679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 395352 and 1120164.\nAnswer: 6720984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-5)\/120 + (-21161)\/(-42) is divided by 124.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.607 + 0.607. Let w = -8 - -13. Which is the closest to i? (a) 4\/9 (b) -3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -6*x + x - 3*x. Let o(s) = 7*s. Give o(w(l)).\nAnswer: -56*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)\/(4\/12). Suppose -g*p = 3*z - 17 - 25, 0 = 4*z - 12. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.318673 litres in millilitres?\nAnswer: 8318.673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = 0, -2*t + 85 = t - 4*i. Let y = 34 - t. Which is greater: y or -20\/13?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -21*b - 30. Let s be h(-3). What is the units digit of (-5228)\/(-12) + (-22)\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 178.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/13)*h**(1\/2))\/((h*h*h**(2\/9)\/h)\/h**1)*((h\/h**(2\/5)*h*h*h)\/(h*h*h\/(h**(-2\/9)*h)*h))**(-6\/7) assuming h is positive.\nAnswer: h**(883\/8190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 23 = -3*t, -5*t + 4*h + 12 + 22 = 0. Let i be 99\/t - 3\/2. Let w be (i\/6 - 1)*2. Solve 23 - w = 5*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtatjjtajatjjjjj. What is prob of picking 3 t and 1 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65795353 to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.6328 and -0.3.\nAnswer: -1.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of (-81)\/(-9)*(23 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485393759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4377048 and 429?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -442, -826, -1208, -1588, -1966?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19548375.\nAnswer: 3, 5, 7, 11, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -56*i**5 - 1436*i**4 + 9204*i**3 - 2996*i**2 - 620*i = 0. Calculate i.\nAnswer: -31, -1\/7, 0, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3279.499 millilitres to litres.\nAnswer: 3.279499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226 = 28*m + 13*m + 1005 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -8.76. Which is the second biggest value? (a) h (b) -1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 4, e: 1, u: 1, v: 5}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -8\/3*v**3 + 0*v**2 + 1\/3*v**4 - 25 + 18*v. Let z(l) be the first derivative of c(l). Find x, given that z(x) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53244757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 9 - 19. Is (-3 + (-986 - 8))\/((-1)\/j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1068 + 2135\/2. Is x smaller than -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 193, 767, 1341?\n\"Answer: 574*v - 381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(19\/(171\/18)). What is the nearest to v in -5, -0.1, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4518, 9957, 15400, 20847, 26298, 31753?\nAnswer: 37212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from mmdmqdddluddlqmddm.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1, 0.4, -1318, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -20 - (50 - 41)) + (139 - 63).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 0. Let n be 9\/(-12) + 10\/q. Let m(w) = 13*w**2 - 2*w - 1. Is m(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3834 and 0.2.\nAnswer: 766.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 436109, 1.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + (-18875222)\/28 + -5. Let p = n + 677617. Let q = 3490 - p. Is q != -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4\/11, -2\/5, 1, 29, 7\/9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 11) in base 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o. Let q(g) = 14*g + 63. Let v(p) = -p - 28 + 24 + 0*p. Let l(r) = -4*q(r) - 63*v(r). What is w(l(k))?\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -152, -744, -1686, -2978, -4620, -6612?\n\"Answer: -175*o**2 - 67*o + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.207 - -0.248. Let u = m - 0.45500309. What is u rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.0329l in millilitres?\nAnswer: 284032.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 15) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 42667672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 9059 = -3*n, 2*s + 3*n = 5*s - 13584. Calculate the greatest common divisor of 75 and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c*c\/(c**(-26)\/c))\/(c**(2\/55))**(1\/53) assuming c is positive.\nAnswer: c**(52468\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -7*b**4 + 14*b**3\/3 + 388*b**2 + 575. Find the second derivative of a(q) wrt q.\nAnswer: -168*q + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f + 288 = 24*f. Calculate the greatest common factor of f and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 22409 and -14.\nAnswer: -313726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 0*b - 68 = 5*f, f + 76 = 3*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12678 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128919 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Suppose 30 = 5*q + 5*w, -9 = 3*q - w - 31. Let u be y(q). Let a = -112 - -126. Calculate the greatest common divisor of a and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12710000 to the nearest 100000.\nAnswer: 12700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 916259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 172\/60 + 8\/60. Solve -d = -g, w + 4 = 2*g - 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60664487?\nAnswer: 13, 4666499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 14 + -1 - -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12420 is divided by 34?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*w - 3*w - 108 = 0, 3*h - w = -128. Let l be h\/(-112) + (12\/(-14))\/2. Is 2\/3 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121941*p**5 + 19*p**2 + 2*p - 154831 wrt p?\nAnswer: 2438820*p**3 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 35\/25)*15. Let f be (v - 4) + (-1)\/(-2)*6. Let k = 65 + -69. Sort k, f, 13 in increasing order.\nAnswer: k, f, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**3 - 2*y**2 + y + 4. Let z(x) = -5*x + 1. Let u be z(-2). Suppose -o = u - 13. Does 11 divide g(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1760 is divided by 585.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03509 - 5.52909. Let b = d - -0.494. What is the second biggest value in 1\/8, 1\/6, b, -0.07?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -177\/134?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3 + -1 - -2 - -30?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hqiobbqbiobqqnqnq. Give prob of sequence oonq.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4\/3, -2\/15, -0.9, -4195?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 183*k**5 + 6*k**4 + 146*k**3 - 2165*k**2 + 2*k - 438 wrt k.\nAnswer: 10980*k**2 + 144*k + 876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -49\/148, 5?\nAnswer: -49\/148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d659 (base 14) in base 11?\nAnswer: -147069","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21786783 smaller than -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -8. Suppose 39*j = 42*j - 45. What is the closest to j in d, -0.2, -2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-4)*(-12040)\/853335.\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, 4352\/5, -3, -2\/1897?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*374\/2*(-212)\/(-1166)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 33*n**3 - 6*n**2 + 6. Let d be y(2). Let x = 246 - d. Solve x + 3 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13243569.\nAnswer: 3, 1543, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*r**4 + 3*r**4 + 2)*(-10 + 10 - r).\nAnswer: -3*r**5 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 8*w**2 + 16*w + 29. Let l be j(-10). Let f = l + 1137. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 248, 724, 1410, 2312, 3436?\nAnswer: 4788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**5 + 495*z**4 + 8420*z**3 + 14820*z**2 = 0. What is z?\nAnswer: -13, -2, 0, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/(-2) - (-5 - -1) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 253\/4 - 63. Solve 1 + y + z*y**2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*r**3*s**2 + 3*r**3 - 2*r**2*s + s**2 + 7*s wrt r?\nAnswer: -138*s**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 79666118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1075)\/(-10) - -1)*2.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + (-1 - (-2)\/(-2)). Let f be 349086\/(-621) - l\/(-9). Let s = f - -562. Is s less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23219360 + 0.6103.\nAnswer: -23219359.3897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0053668897 - 0.2.\nAnswer: -0.2053668897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 20 = 12*m + 4*x - 19 - 9, -x - 4 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 825 - 824.9. Let s = -2 - 3. Let k = 2\/73 + 357\/292. Which is the nearest to 0? (a) s (b) j (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 0 = -18. Let z(h) = -2*h**3 - 6*h**2 + 2*h + 5. Let w(t) = -t**3 - 3*t**2 + t + 3. Let f(c) = 11*w(c) - 6*z(c). Determine f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*f, 3*f - 4*f - 16 = -4*m. Solve -m*y + 4 = i, 2*y + i + i + 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (666*v**2 - 413*v**2 - 493*v**2)*(-v - 7*v**2 - 8*v + 8*v**2).\nAnswer: -240*v**4 + 2160*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 (base 11) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 268 - 1186. Calculate the least common multiple of 357 and l.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 9:03 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = 30*w - 206 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4b (base 13) to base 8\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c - 3*p - 1453, -4*p = -c + 739. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1976\/1209)\/(-38))\/(-1*6\/9)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011968359 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -115*m**5\/4 - 1103*m**3\/6 + 620*m - 1. What is the second derivative of p(r) wrt r?\nAnswer: -3450*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*b + 7. Let c = -8 + 11. Suppose -j - 4*k + c = 16, 0 = -2*j - k - 5. Put j, b, 4 in descending order.\nAnswer: 4, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1274 by -14.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9018\/41 - -220. What is the third biggest value in -5, x, 3\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/18)\/((-14)\/(-3))*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -105847524 divided by 41058?\nAnswer: -2578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 907 + -249. What are the prime factors of p?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -169\/15 - -32\/3. Which is the closest to -12? (a) n (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhxj when four letters picked without replacement from xhxhxxxhjh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3015338 divided by 6?\nAnswer: -1507669\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 3514565.\nAnswer: 3\/3514565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2291847841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/2*64\/(-400). What is the second biggest value in -2, -1\/2, z?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 27288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 24?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426885.\nAnswer: 3, 5, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*q**3 + 14*q**3 - 30*q + 30*q.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 136250026994 - -267\nAnswer: 136250027261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -564*i**2*v - 432*i**2 wrt v?\nAnswer: -564*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 13*x**2 - 5*x - 5. Let a be o(-3). Let s = 197 - 118. Let d = a - s. Round d to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 - -38. Which is smaller: p or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = -5*y - 4*v, -v = -4*y + 2*v + 125. What is the greatest common factor of y and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + 2 + 0 + -9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 19*q - 83831 = -84439 for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 m when three letters picked without replacement from {u: 13, m: 3, n: 4}.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4148 and 1.4.\nAnswer: 5807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 107\/(-3) + 2. Let o = 33 + c. Let v be 2\/6 - 1\/1. What is the closest to -1 in -3, v, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/2 (b) -32 (c) 4\/7 (d) 1\/4 (e) 5.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, -0.4, 0.194 in ascending order.\nAnswer: -0.4, 0.04, 0.194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -221*a. Is w(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -x + 3*r - 2*r, 0 = -2*x - 5*r - 13. Let s be (-417)\/35 - (-4)\/x. Let m = 374\/45 + s. Calculate the common denominator of -99\/10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(-3*w - 7*w - 7*w) - 54*w - 144*w - w.\nAnswer: -233*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.472 and -9555292094?\nAnswer: 9555292093.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16011 and 5.\nAnswer: 80055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 365 * -0.4\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + b + 1256, 0 = 4*l - 6*l - 5*b + 650. Let z(a) = -a**2 + 7*a - 4. Let g be z(5). Suppose l = -y + g*y. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -z + 15 - 25, 0 = 3*z + 2*l + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) -2\/7 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -205, -209, -215, -223, -233?\n\"Answer: -g**2 - g - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 9*m**2 - 10*m + 9. Let g be t(-8). Suppose g = -3*j + 8*j. Let p be 2 + -2 + (2 - 1). What is the greatest common divisor of j and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-43*w**2 + 70*w**2 - 21*w**2 + 43)*(-6 - 2 + 2) to the form a + c*w**2 + h*w and give a.\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 748.1 + -748. What is the closest to n in 5, 0.05, 2\/9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62599 + -24116. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.91142l in millilitres?\nAnswer: 73911.42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*h + 0)*(2*h - 2*h - h)*(432 - 971 + 418).\nAnswer: -242*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -5*q + 26, 77*q + 82*q - 5*v - 15 = 157*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 66005550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 - 5*v)*(135*v**2 - 135*v**2 + 12*v**3) + v**4 - 3*v**4 + 3*v**4 + v**2.\nAnswer: -59*v**4 + v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let d(k) = -1324*k**2 + 25*k - 20. Let r(m) = 662*m**2 - 15*m + 12. Let z(c) = -6*d(c) - 10*r(c). What is z(t(u))?\nAnswer: 21184*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 13*f + 69. Let g be u(5). Suppose -56*r + 28*r + g*r = 0. Factor -1\/4*n**5 + 1\/4*n + 0 - 1\/2*n**2 + r*n**3 + 1\/2*n**4.\nAnswer: -n*(n - 1)**3*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 - 42. Suppose -2*m - i = 2*m + 244, m + x*i + 61 = 0. Let w = 115 - m. Calculate the highest common factor of w and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 696 + -317. Which is bigger: y or 378?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 29 = -26. Let l(f) = 40*f + 53. Let u be l(h). Suppose -80*i + 79*i = -u. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s\/(((s**(-10)*s*s)\/s)\/s)*s*s**(-2\/25) assuming s is positive.\nAnswer: s**(323\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r. Let y be (-6)\/(-8) - (-44)\/(-16). Let v(m) = -m**2 + m. Let t(u) = -u**2 + 2*u. Let h(d) = y*v(d) + t(d). Determine l(h(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 193978247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2. Let d = 0 - -5. Let t be (-3 + d\/2)*-2. Let n(o) = t + 4*o - 1. Calculate s(n(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 6 = -2*k, -k - 5*m + 15 = -6*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5573? (a) -1 (b) 5.75 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7980 = 4*w + 3*d, 0 = -5*w + 7*w + 2*d - 3992. What are the prime factors of w?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v. Let a(o) = 2*o**3 - 7*o**2 - 20. Let n(l) = a(l) + 5*f(l). Let b(i) be the first derivative of n(i). Is b(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 44 + 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -37*i + 25*i + 40 - 42*i - 141. Is m(-6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -177*l**3 - 18*l**2 + 35*l + 145. What is the thousands digit of f(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 less than 428?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 12*x = -10*x - 5720, -9535 = -5*h - 3*x. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24170252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1508656 to the nearest integer?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express b**3 + 118*b**2 + 140*b - 4*b**3 - 135*b + 8*b**3 - 3*b**3 as x*b**3 + v + o*b + h*b**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 781046027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 (base 5) in base 4?\nAnswer: 12031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 15 = -i. Let o = -441 + 442. Let y(p) = -i - o - p**2 - 6*p + 11. Calculate y(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(158 - 195*b + 383*b - 189*b).\nAnswer: -2*b + 316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 1 - 3)*(-3 + q + 3)*(3 - 1 + 2*q + 0)*(-2*q + 2*q - q) to f*q + c*q**3 + z + a*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9765, -9764, -9763, -9762, -9761?\n\"Answer: j - 9766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -353*-4.\nAnswer: 1412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b5 (base 15) in base 3?\nAnswer: 20022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -5*u - 66*d + 71*d, 3*d - 4 = -u. Sort 4, -59, u.\nAnswer: -59, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 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: Round -0.0044974 to five dps.\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/21 - 2 - 20681980\/(-1540) a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 7*w**2 - 10*w + 26. Suppose 5*l - 42 = -k - k, -l - 4*k = -12. Let p be o(l). Solve 0 = -2*j + b + 10, -p + 1 = j + 3*b for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbbbjbcd. What is prob of sequence bjcb?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 669 = 2*h + 4*a - 81, -4*h - 3*a + 1505 = 0. Suppose -5*l = -h - 953. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 44*z**2 - 41*z + 6108. Calculate p(46).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4303?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6111685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 206*r + 131412\/5.\nAnswer: 2*(r + 233)*(r + 282)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 46 = -3*c, -4*c + 4*q = -26 - 46. Calculate the remainder when 2\/(-4) - (-166)\/4 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 2) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.2 - -2.7. Let p = 21.1 + 53.9. Let u = p + -72. Which is the smallest value? (a) g (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/25 and -28\/877.\nAnswer: 21925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 5*k = 13, -33*h + 2*k = -31*h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12818, 39524, 84042, 146372, 226514, 324468?\nAnswer: 440234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*l + 14, -4*l - 3*q + 2*q = -7. Let j(a) = 1 + 33*a - 14*a + 28*a - 2*a. Is j(l) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -10. Suppose -2*l = -b*l + 20. Let j = 5 - -4. Calculate the least common multiple of l and j.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 808917 and 33?\nAnswer: 8898087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 269167?\nAnswer: 269167.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-154)\/7)\/(-11)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 take away -2928.308?\nAnswer: 2902.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/56 - 1683\/(-21). What is the common denominator of -69\/28 and 36\/45 + 86\/a?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r - 5*x + 19, -42*r - 3*x + 11 = -43*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-3)\/60*2)\/((-792)\/(-270)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15614 and 7607605?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 339858 and 191259?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3988 is divided by 818.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -0.974\nAnswer: 5.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 6:48 PM?\nAnswer: 4:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 10, -15*z = -12*z - 5*w - 22. Which is the biggest value? (a) 23 (b) z (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 55 = 4*l, -44 = -3*l - 0*c + 5*c. Suppose -2*f - 5 = -l, -2*f + 14 = 3*i. Suppose -19 = -4*n - y, 2 = -4*n + 5*y + 3. Solve n*k = -i - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -16*u**2\/9 + 197474*u\/9 + 172802\/9 = 0.\nAnswer: -7\/8, 12343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + l - 1. Let i(z) be the first derivative of z**4\/2 + z**3\/3 - 3*z**2\/2 - 2*z - 126. Determine i(f) - j(f).\nAnswer: 2*f**3 - 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 4*t + 3*t)*(-11*t + 3*t - t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) -7 (c) 0.5 (d) 22\/21 (e) -1\/90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 4:46 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115990\/(-4971))\/((-10)\/(-12))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15399267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35629430 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 5 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 30*l + 41. Let i be n(-3). Which is smaller: -246\/5 or i?\nAnswer: -246\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 8037?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -330\/161 + 3153\/8372. Find the common denominator of w and 74*(27\/66)\/9.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -9.79, -6, 4, -3\/4, -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (600\/28)\/(-30)*42\/36*18\/(-2)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let c(q) = 9015*q - 250. Let l(h) = -9017*h + 300. Let x(w) = 6*c(w) + 5*l(w). What is r(x(p))?\nAnswer: 18010*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 10*m**2 + 0 + 0*m**4 + 0*m**3 - 29\/60*m**5 + 0*m. Let t(y) = 2*y. Give i(t(l)).\nAnswer: -116*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 36 = y + 133, -284 = -5*x + 4*y. Calculate the remainder when 165 is divided by x.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*h + 0*h - 15*h)*(-17 + 37 + 80).\nAnswer: -6800*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -316?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jiqtqtt. Give prob of sequence ttq.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 978782939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.7 from -108576454774.\nAnswer: -108576454773.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1483*h + 60908. What is j(41)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -2*q**3\/3 + 2*q**2 + 2*q + 10. Let u be n(4). What is the units digit of (u\/10)\/((-6)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -401 + 401.0000529. What is r rounded to six decimal places?\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*o - 865 - 151 = 584 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 181156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110010011000111 - -101?\nAnswer: 1110010011001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1681 * 0.01.\nAnswer: -16.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 218248022 to the power of 1\/3, to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32931\/20 + 1647. Calculate the common denominator of s and -39\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -22421\nAnswer: -67263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*i - 3*p, -3*i - 5*p - 19 = -p. Are i and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459.859327234 - 0.2\nAnswer: -460.059327234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-26) + (-38367)\/315549?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -111*z - 671. Let p be y(-6). Let s(k) = -3*k**3 - k**2 - 4*k - 6. Let g(b) = -4*b**3 - b**2 - 5*b - 7. Calculate p*s(j) + 4*g(j).\nAnswer: -j**3 + j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24320 + -3?\nAnswer: 24312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(4 + -4 + -1) - -85400004. Round k to the nearest 1000000.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2120)\/1520 + (-2)\/(-4). Which is smaller: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:15 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 287 = -4*v, 3*i + 2*v - 3*v - 872 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + -2*sqrt(99)*2)\/(sqrt(9) - (-1*sqrt(324) + sqrt(9))).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (746 - (0 - 1))\/1. Suppose -v + 2*v = -3*k - y, 2*k = -5*v - 3800. What is the units digit of v\/(-14) + (-3)\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**8\/2016 - i**7\/126 + 11*i**6\/240 - 11*i**5\/90 + 5*i**4\/36 - 152*i**2 + 2. Factor t(g).\nAnswer: g*(g - 5)*(g - 2)**2*(g - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - 13. Let s be (10\/x)\/(2*(-4)\/114288). Let t = -18114 + s. What is t rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2915629 tonnes in kilograms?\nAnswer: 291.5629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 173609.7 months to years.\nAnswer: 14467.475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a + t - 703, -3*a - 2*t = -521. Let p = a + -26. Suppose -5*y - n + p = 0, 121 = 3*y + y + n. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-81)\/(-243)*(1 + (-4)\/1). What is the closest to -2 in 5, -21, 0.1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 3*d + 5 = -4*z, 4*d + 12 = 4*z. Find the third derivative of z*c**4 - 8*c**4 + 2*c**4 - 6*c**2 wrt c.\nAnswer: -96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*b + 50*b**3 - 28*b**3 - 11*b in the form y + d*b + t*b**2 + r*b**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167748*a**2 + 20*a - 16195776?\nAnswer: 335496*a + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 13. Calculate the smallest common multiple of ((7 - 13) + 2)*-1 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.22 - -7.22. Put -0.5, 0, u, 3\/5, 1\/4 in decreasing order.\nAnswer: u, 3\/5, 1\/4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000588565 rounded to 5 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-55)\/(-550))\/(6\/40).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 1.1. Let k = 971\/196587 + -2\/2427. Let m = k + 967\/1215. Put y, m, -0.03 in increasing order.\nAnswer: -0.03, y, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21162.2 - 0.1?\nAnswer: 21162.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (33\/(-9))\/11 + 208\/(-6). Let i be 5\/4*(-14)\/m*4. Let c(f) = f**3 + 6*f**2 - 7*f + 3. Let l be c(-7). Which is greater: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/(-3)*19\/(-570)*-15*10\/5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 u, and 1 c when four letters picked without replacement from hhuccibcuhh.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1076*(-1)\/18 + (-8)\/(-36). Let f = -2\/131 + 4073\/786. What is the common denominator of (-1258)\/w + 40\/50 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eetyyyeyy. What is prob of picking 2 y, 1 t, and 1 e?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*n + 17117 - 17114, -n + 4*h = -12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3954, 4054, 4322, 4842, 5698, 6974, 8754, 11122?\nAnswer: 14162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54 and 413773884?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*w = 413*w + 8588 for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26923\/6 - -8453\/2. Let m = -258 - i. Solve -4\/3*p**2 + 2\/9*p**3 - 16\/9 + m*p = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - -0.02. Let a = p - -0.03. Sort 3, -0.1, a in ascending order.\nAnswer: -0.1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 40 - 3*n - 40. Let z(u) = -10*u - 2. Let a(m) = 10 + 65*m + 1 - 14*m + 0. Let d(h) = -2*a(h) - 11*z(h). What is d(k(s))?\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -28*d + 16*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17542869 divided by -188633.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a - -14a?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from exgeeeqeegeejgqejq. What is prob of sequence xqx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**3 - u**3 - u**3)*(-2 + 2 - 1)*(1 - 4 + 2)*(2 - 1 + 1) to the form a*u**2 + z*u**3 + t + c*u and give z.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g*m**3 + 2*g*m**2 - 55824204*g*m + 750888*m**3 + m**2 wrt m?\nAnswer: 18*g*m + 4*g + 4505328*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*-1 - (10 + -16). Let i = 30 + -19. Suppose -5*k + 4*j + 59 = 0, -k + o + i = -5*j. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - -1123?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2102952 divided by 262869.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 - 6*f**2 + 5 + 4*f**2 + 0*f**3 to the form n*f**2 + c*f**3 + g*f + u and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12228 + 12412. Calculate the highest common factor of g and 6164.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50)\/30*(-48)\/40?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 6\/5, 1, -7 in descending order.\nAnswer: 6\/5, 1, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6746, 13505, 20262, 27017, 33770, 40521?\nAnswer: 47270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 25\/(-6)) + 1\/(-6). Suppose 0*n - 2*n - 424 = -a, 845 = 2*a - x*n. Let q = a + -289. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 29, 77, 157, 269?\n\"Answer: 16*t**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28\/42)\/(4\/30). Solve f + 0 = l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*k + 21*k - 40 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -3*y + 4*r, 0 = -2*y - 0*r - 3*r + 2. Put -2, y, -23 in decreasing order.\nAnswer: -2, y, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1036 - 1033. Which is the nearest to u? (a) 1\/4 (b) -5 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4482 - 2088. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12) + 2)*-18. Let y be (-3 + k + -1)\/(-1). Let j(a) = a**2 - 2*a + 0*a - 16 + y. Let o(l) = -l**2. Calculate j(o(h)).\nAnswer: h**4 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m + 1. Let c(z) = -2*z + 11. Let b be c(5). Let x(p) = -9*p - 37. Let u(n) = -19*n - 85. Let g(w) = -3*u(w) + 7*x(w). Determine b*g(r) + 2*q(r).\nAnswer: -4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 0.9.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*f - 9 = 0, -f - 15 = 2*y - 6*y. Suppose -5*m = -3*k + 91 + 1062, y*k - 1133 = -5*m. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65\/2 + -33. Let k = -4.8 + -0.2. Let j = -0.01 + -0.09. What is the closest to j in l, k, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25 + -103 + 123 + (-9 - (1 - 4)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (sqrt(1053) + 0 - sqrt(1053)) + 2 + 4).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l - 6. Let k be c(2). Let i(q) = q**3 - 12*q**2 + 2*q - 12. List the prime factors of i(k).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*u - 19*u - 11*u)*(4*u**2 - 2*u**2 - 3*u**2).\nAnswer: 19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/5)\/p*p)\/p*p\/(p\/(p**(2\/29)\/p)))**(-1\/2) assuming p is positive.\nAnswer: p**(309\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1138944 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2. Let p(r) = -10*r - 3. Let i(a) = 9 - 84 - 47 - 399*a + 3. Let d(u) = 6*i(u) - 238*p(u). Give w(d(z)).\nAnswer: 588*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**3\/3 + m**2\/2 + 2. Let k be (5\/10*6)\/1. What is the least common multiple of l(k) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qduuqqe. Give prob of sequence uq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 7. Suppose k*y - 195 = -y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 6:37 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 14) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*s + 83*s = -4170. What is the third derivative of -912*l**2 + 1832*l**2 - s*l**2 + 80*l**5 wrt l?\nAnswer: 4800*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1037)\/(-16592)*2\/2*2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -1912*s - 133588. What is l(-70)?\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3995780 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8471 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 6*h**2 + 16*h + 3. Let j be b(8). Suppose 5*i = o + 56, -2*i - 1 = j*o - 37. Solve -i*s + 14*s = 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -41, -97, -183, -299, -445, -621, -827?\n\"Answer: -15*t**2 - 11*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 174?\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f. Let w(k) = -k. Let j(i) = -2*b(i) - 5*w(i). Let m(a) = 21*a. Let o(l) = -5*l. Let z(q) = -2*m(q) - 9*o(q). Give z(j(x)).\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*b = -640, 3*k - 5*b - 108 = 2*k. Suppose -2*w - r + k = 0, 99 + 93 = 3*w + 3*r. What is the remainder when w is divided by -10*((-7)\/2)\/1?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = -t - 4*m, t - 3*t - 346 = -4*m. Let i be (1 - t)*1\/2. Let f = i + -432\/5. Which is the smallest value? (a) 3\/5 (b) f (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -54*g + 1. Let q be x(-3). Let p = q + -89. Calculate the remainder when p is divided by 1\/5 - 372\/(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -119 + 4?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 227561 to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 38.14 + -5454.8\nAnswer: -5416.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -1) + (-126 + 82 - -52).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 13*j**4 + 3*j**2 - 12*j. Let t(n) = 14*n**4 + 4*n**2 - 13*n. Let h(x) = -4*a(x) + 3*t(x). Find the second derivative of h(i) wrt i.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 47*g - 285. Calculate the remainder when f(6) is divided by (-4)\/(-2) - (-24 - 0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a factor of 5205240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -640 - 640 - 639 + 2561 - 557*j**2 - 640 in the form s*j**2 + o*j + d and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2292667 (base 13) to base 11.\nAnswer: -602008a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of 1083*b**5\/20 - 608*b**2 - 27*b - 31. Differentiate d(v) wrt v.\nAnswer: 3249*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 + 13*b - 69. Calculate i(-13).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033982.\nAnswer: 2, 516991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -13. Let n be 16 - 4 - (i - -1). Suppose 3*t = h + n, -t - 23 = -2*h - 4*t. Sort 5, h, -1 in increasing order.\nAnswer: -1, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 23 - 3 - v + 2*v + v. Let m be t(5). Suppose 5*u - 9 = -m. Solve -4*n - 3*a = 3, -n - a - 2 = -u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -135\/11 (b) 237 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 33847888 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1 - 5*w**2 + 3 - 9*w + 5. Let c(u) = -2*u**2 - 4*u + 3. Let t(h) = 9*c(h) - 4*i(h). Calculate the least common multiple of 6 and t(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 4*w = 3*w + 344. Solve 13*z = -30*z + w for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = -2*j, j = -0*j - 5*t - 2. Suppose j*q = -2*b - 0*b - 9, 2*q + 6 = -2*b. Sort -4, b, 0.3 in increasing order.\nAnswer: -4, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -7. Calculate the remainder when (-1)\/4 + 6579\/172 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -6*f + 4. Let b(n) = -10*n - 1 + 17*n - 8*n. Let h(k) = 3*b(k) - w(k). Determine h(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1922 (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12110 - 12?\nAnswer: 12021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18916.8 - 18917. What is the second smallest value in -844, b, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 z, and 1 a when three letters picked without replacement from rwyazuwyryuur.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1319036246.\nAnswer: 2, 11, 23, 236981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.058 and 162746?\nAnswer: 162745.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = v + 294 - 288, -5*q + 3*v + 10 = 0. Let z = -12 + 17. Suppose -2*w - z*i + 29 = w, 0 = 2*i - 8. Solve -q*l + w = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = h - 11, 5*h + 4*o + 4 = 2. Let p(q) = -1576 + 1576 + 2*q**h. Let g(b) = -2*b - 65. Give p(g(t)).\nAnswer: 8*t**2 + 520*t + 8450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8*(-6)\/8 - (-32)\/5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*x**2 - 1335*x - 630.\nAnswer: 5*(x - 21)*(13*x + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.4. Let u = 30583 - 30597. What is the nearest to u in -3, 0.3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*r + 25*r + 40*r + 35*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d + 1. Let c be h(-2). Suppose -4*i - 2 = -8*v + 3*v, 4*v + c*i = 18. Solve 5*b - v = 3*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -s**8\/210 + 7*s**4\/4 - 17*s**3\/3 + 31. Let w(t) be the third derivative of a(t). Differentiate w(q) wrt q.\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -44, -49, -40, -11, 44?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*f + 31 - 33 + 8*f + 28 + 2116*f**2 + 31 wrt f.\nAnswer: 4232","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-19)\/(-3)*10\/((-50)\/(-255)). Let t = o + -309. What is the remainder when 95 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g + 4. Let i be d(8). Let s be 8\/i - (-2370)\/27. Suppose 0 = 14*j - 10*j - s. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(8\/5)\/o)*o)\/o*(o*(o\/o**12)\/o*o)\/o)\/(o**(-2))**(11\/4) assuming o is positive.\nAnswer: o**(-41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1512432 - 122?\nAnswer: -1512554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3 + (1 - 19 - 20)*(0 + 1 + 2))*(o**4 + 2*o**4 - o**4).\nAnswer: -222*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -897701.8 + 1.15.\nAnswer: -897700.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/((((x*(x\/((x\/(x\/x**(-4\/11)))\/x))\/x)\/x)\/x)\/x*x)))**(-18)*(x*x**(-5))**6)**15 assuming x is positive.\nAnswer: x**(-5040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c + 1. Let y be k(1). Let o be 1\/y + 8\/12. Let f = -349 - -344. Put f, 2, o in descending order.\nAnswer: 2, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03999817 rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 5*j - 165, -j - 74 = -2*c + 3*j. What is the remainder when c is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = -26. Let l(t) = -2*t + 41 + 3*t - 5*t - 40 - 6*t. Let m(j) = 21*j - 2. What is x*l(k) - 6*m(k)?\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 65829*y**3 - 46321*y**3 + 66263*y**3.\nAnswer: 85771*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 16 = -b, 3*v - 9 - 20 = -2*b. Put b, 2\/11, 4, -4 in increasing order.\nAnswer: -4, 2\/11, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52.45 times 107\nAnswer: 5612.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-3*(sqrt(3) + -2) + sqrt(3) - (3*sqrt(192) - sqrt(192)))**2 - (sqrt(48)*-4 + sqrt(3) + sqrt(192)\/sqrt(4) + 2)).\nAnswer: -205*sqrt(3) + 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/7*(-1 + 5 - (-2046)\/(-620)). Determine z, given that -12\/5*z**2 - 24\/5*z - h*z**3 - 16\/5 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l. Let c(q) = 9*q - 3*q + 2*q + 0*q. Calculate c(j) - 4*g(j).\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = 0, 2*f = -0*z - 4*z + 430. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {g: 11, o: 4, k: 3}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2961 is divided by 1452?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.066036 weeks?\nAnswer: 11.094048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4104108 and 1134.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s + 2*v + 1, -5*v = -s - 20. Let x(l) = -2*l + 7*l - l - 12*l + s. Let a(p) = 8*p - 4. Determine 5*a(y) + 4*x(y).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11685 = -1974*k + 58166 + 8791 for k.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2079 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 35 + 5. Find the common denominator of -19\/7 and (-106)\/10 + (a - -11) - -2.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/3)\/q**(-30))\/((q*q**(3\/11)*q)\/(q*q**19\/q)) assuming q is positive.\nAnswer: q**(1531\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10627571, 10627564, 10627557, 10627550?\nAnswer: 10627543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2112)*-2 + sqrt(2112))\/(sqrt(27)*-3).\nAnswer: 8*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4*d - 5)*((3*d + d - 5*d)*(-2*d**2 - 3 + 3) + d**3 + d**3 + 0*d**3 - 5 - 2*d**3 + 5) to k + q*d**3 + c*d**4 + j*d**2 + h*d and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 <= -0.07836408?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2868.53 and 40.4.\nAnswer: 2908.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 993, -2\/85, -17?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0472 - 5.84?\nAnswer: -5.8872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 18 = v + 3*w, 0 = -v + 3*w + 15. Suppose -x = v*x + 36. Let c be (-12)\/x + 5\/(-15). Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 10*a + 9. Let c be j(-9). Suppose u - 2*u - 320 = c. What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q - 74*q - 32*q + 4*q - 2*q + 0*q + 11 + 9*q - 11 - q + 2*q - 3*q + (0 + 3 - 2)*(q - 3*q + 4*q) + q + 0*q + 0*q + 0*q - q + 2*q to n + w*q and give w.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52464321 and 45981.\nAnswer: 52464321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**4 + h**2 - h**2 + (6 - 1 - 3)*(2*h**4 - h + h))*(2 + 2 - 2) + 4*h**4 + h**4 - 3*h**4.\nAnswer: 14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**3\/3 + 7*f**2 - 4*f + 1. Let z be v(10). Suppose -i = 2*i - z. Solve 0*r = 4*r - i for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1086858 and 1811430?\nAnswer: 5434290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 3*z**2 + 2*z - 2. Let n be l(-4). Let m be ((-1)\/3)\/((-1)\/n). Suppose 3*v - 4*r - 40 = -v, -3*v = 3*r. Put v, m, 1 in decreasing order.\nAnswer: v, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 449*f**3 - 2*f**2 - 6. Let z(g) = -7635*g**3 + 35*g**2 + 105. What is 35*l(w) + 2*z(w)?\nAnswer: 445*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117710 or -117708?\nAnswer: -117708","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -20, 61 = v - i + 5*i. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61134 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 211*l + 3666. Let i be g(19). What is the greatest common factor of 57006 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 3957732.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 5*k - 4. Let l be i(-3). Let g(z) = 13 + 7*z + z - z**l - 6 - 6. Let q be g(8). Solve u - 4*n - q = -0*n, 3*n - 3 = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - 4*q**4 + 0*q**4)*(-32 + 32 - 5*q).\nAnswer: 5*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 118 = -62. Suppose -2*o - 3 = j + 170, -3*o = -4*j - 736. Let a = 199 + j. Calculate the highest common factor of d and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77989 or -77924?\nAnswer: -77989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-160)\/28)\/(2\/(-7)). Solve -g = -3*h + 8*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6581 = 125*d + 3581 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of 37*s**8\/56 + s**4\/6 - 11*s**3\/6 + 82*s. Find the third derivative of c(d) wrt d.\nAnswer: 4440*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 4*l**2 + 15. What is r(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05*-1.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -99? (a) -4 (b) -121 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4975751 nanograms in micrograms?\nAnswer: 0.0004975751","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44850434 a multiple of 190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 819 and 103893237.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - v**2 - v + 1. Let s(r) = -r**3 + 5*r**3 - 83*r - 7*r**2 - 81*r - 2 + 161*r. Let x(p) = -3*q(p) + s(p). Determine x(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7231, -14429, -21629, -28831, -36035, -43241?\nAnswer: -50449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4866660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ruuu when four letters picked without replacement from {r: 5, u: 7}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2746 in -1\/2, -0.3, -1\/3, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710 is divided by 1699?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/q**9*q*q**(4\/9)*q*q*q*q*q*q\/q**(2\/9)*q*q*q**(-2\/7)\/q assuming q is positive.\nAnswer: q**(59\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3482, 13590, 29842, 51752, 78834?\n\"Answer: -81*p**3 + 3558*p**2 + p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 13*w. Let u(a) = a + 820. Determine k(u(h)).\nAnswer: 13*h + 10660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 of a week in hours?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3622.172 centuries to months.\nAnswer: 4346606.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 + (27 - 46) + 3 + -13?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:43 AM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7. Suppose s = -0*s + o. Suppose -k = -s*k + 52. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.6 - -1.9. Let v = 291 + -289.5. Let f = q - v. Which is the closest to 0.3? (a) 0.3 (b) f (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118704334 take away -2.76?\nAnswer: -118704331.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 70*k**2 + 702*k + 535. Let r(b) = -23*b**2 - 263*b - 178. What is 3*n(p) + 8*r(p)?\nAnswer: 26*p**2 + 2*p + 181","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (4 + 48\/(-15) - 72\/15).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, q: 2, n: 1, g: 3, d: 2, x: 1}. Give prob of picking 1 q and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271 is divided by (-125)\/(-7) + (-54)\/63?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of 7*q**6\/30 + q**5\/60 + q**4\/24 - q**3\/6 - q**2. Let u be ((-70)\/4 - -17)*-2. Calculate f(u).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.044? (a) 0.4 (b) -3\/47 (c) -3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in -0.1, -1, 6, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -k + 3*k. Let j(b) = -b**2 - 15*b - 27. Let m be j(-9). Let y = 4 + m. What is the remainder when y is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/15 + 3*h**4\/4 + 17*h**3\/6 - 2*h. Let t(q) be the second derivative of s(q). Differentiate t(g) wrt g.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -17*k**3 - 9*k**2 - 9*k - 7. Let o(t) be the first derivative of -2*t**4 - 4*t**3\/3 - 2*t**2 - 3*t + 135. Determine -4*d(a) + 9*o(a).\nAnswer: -4*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/7)*p**(-2\/33))**1 assuming p is positive.\nAnswer: p**(85\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1247 is divided by 409?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of 109*u**8\/336 + u**7\/70 - 46*u**4 - u**2 + 639*u. What is the second derivative of x(o) wrt o?\nAnswer: 2180*o**3 + 36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b17 - 1?\nAnswer: b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in 53, 4, -5, -0.09, -2?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 3748680*f.\nAnswer: -5*f*(f + 749736)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-20))\/(-2*-3*2\/24)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 4*p**3\/3 + 15*p**2\/2 - 326*p - 166. Find the first derivative of y(b) wrt b.\nAnswer: 8*b + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:24 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + -6*(-381)\/6. Suppose -10*p + x = -5*p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:42 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaab when four letters picked without replacement from {b: 2, u: 4, a: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -7. Suppose 0 = 5*m - p - 6. Let q = -4 + 5. Calculate the remainder when m is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 812394169?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 74, 149, 274, 461, 722, 1069, 1514?\nAnswer: 2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 604562 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 8. Let y = x + 8. Let n = 2523 + -2523. Which is the closest to 2\/7? (a) -7 (b) y (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361*r**3 + 115*r**3 - 1162*r**3.\nAnswer: -1408*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -25. Which is the smallest value? (a) h (b) -24\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k + 12. Let u(b) = -20*b + 82. Let m be u(4). Solve -3*s + 5*c - 5 = m*s, -k*s - 4*c - 28 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/3*9\/24)\/(9\/(-42)).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*m - 10 = 0, -5*i + 0*i - 4*m - 8 = 0. Suppose 25 - 81 = -2*l. Suppose i = -2*t + 6*t + 5*g - l, -5*g + 24 = 2*t. Solve -14 = -t*n - 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 319*v - 2. Let o be s(1). Suppose 5*i = -4*p - 56 + o, 5*p - i - 348 = 0. List the prime factors of p.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -25*z. Let l(u) = -45*u - 1. What is l(h(m))?\nAnswer: 1125*m - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 176636717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.2 - 1.2. Let g = k + -3.5. Let f = 2.5000044 - g. Round f to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*g + 648, -28*g - 12*l + 87 = -27*g. Suppose 0 = -b - 10 - 19. Let z = g + b. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + w - 1. Let g(z) = 29376*z**2 - z - 21. Let m(f) = g(f) - u(f). Let x be m(15). What is x rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8. Let c = -51.9 - -51.89. Sort 0.2, t, c, 2\/23.\nAnswer: c, t, 2\/23, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 869.113 millilitres in litres?\nAnswer: 0.869113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61204.\nAnswer: 2, 11, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003 times 0.013?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n - 98 - 2\/3*n**3 - 4*n**2. Give t(-7).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4 = -k - 0*k, -4*m + 21 = 5*k. Let q(z) = z**2 + 10*z + 9. Suppose 5*l = n - 47, 2*l - 8 = n - 28. Let x be q(l). Does m = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126.1 >= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.148 + -77.148. Let k = o - -87. What is the second biggest value in 4\/7, 3\/7, 0.1, k?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 896\/280*10\/(-4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 476533.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + t - 2 + 2*t. Let s be k(-2). Let b = 4 - s. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -404 - -533. What is the highest common divisor of 172 and v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 224, 227, 230, 233, 236?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18215?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -165*(5\/3 + -2). Suppose 0 = -5*x - d + 140. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670 = -7*p - 656 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 69, 178, 373, 696, 1189, 1894, 2853, 4108?\n\"Answer: 7*g**3 + g**2 + 57*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 0\/3 + 46. Let l = -41 + d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffefqqjqjfawwfjqqwwf. Give prob of sequence fjqa.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f**(-3\/5)\/f)))\/(f*f**(1\/7)\/f))**(1\/27)\/((f*f**(-1))**(-5\/2)*f**(-4\/3)*(((f\/(f**(-3\/8)*f))\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(29437\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 + 18*t**2 + t**2 - 132*t - 21*t**2)*(-3*t + 2*t - t + (-4 + 2 + 0)*(0*t + 5*t - 2*t) + (2 + 2 - 5)*(t + 1 - 1)).\nAnswer: 18*t**4 + 18*t**3 + 1188*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 1. Suppose -v = 4*p - w, 0 = -5*v + 2*v + 3*p - 9. Find the third derivative of 6*x**4 - 2*x**4 + 0*x**4 - x**2 - v*x**2 wrt x.\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.755 - -9.585. Let s = -0.19 + -0.18. Let m = f - s. What is the second biggest value in 2, m, 4, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 8. Let f be r(4). Let d be 2\/10*f*-1. Suppose d = 3*s - 4*m - 19, -4*s + 8 = 2*m - 10. Solve 2*c = -0*c + 10, -s*v - 20 = -5*c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*d - 4*c, 3*d - 151 = 4*c - 53. Suppose -d - 40 = -3*k. Solve -32 + 13 = 5*t + 3*q, -k = 5*t + 4*q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3177 = -c, -3703 = -5*a - c + 266. Is a a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 1. Let d(b) = -2*b**2 - 11*b - 5. Let q(o) = d(o) + 3*w(o). Let j be q(-3). Suppose 25 = j*k - 239. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1002 + 20?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:25 AM and 2:27 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 + 1. Suppose 5*b - 2*u - 13 = 0, 3*b - 2*u - 4 = 7*b. Let i be o(b). Put -2, i, 3 in ascending order.\nAnswer: -2, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3097829 - 878576. Let u = p - -6976405. What is u rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1006 and 0.016.\nAnswer: -16.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of 0*b**4 + 0*b + 0*b**3 + 0 - 1\/70*b**5 - 1\/490*b**7 - 36*b**2 + 3\/280*b**6. Find p such that y(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 6*k + 2 - 8*k - 13 + k**2. Suppose 2*p = 5*z - 3*p, -4*z - 5 = -5*p. Determine n(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.36 - 0.64. Which is the third smallest value? (a) 5 (b) -46\/7 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -23*j - 8. Let y be s(-8). Suppose -4*q + 11 + y = 5*h, 0 = 2*h + 3*q - 79. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 3 = 0. Factor -11*q + 5*q**5 + 2*q - 10*q**2 + 6*q**s + 0*q**4 - 2 + 12*q**4 - 2*q**3.\nAnswer: (q - 1)*(q + 1)**3*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70 + 205. Does 27 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 20*x**2 - 2*x + 40. Let h be f(20). Suppose 5*w - 3*d - 38 = h, 0*d - 20 = -5*d. Solve 0*a - 12 = 4*a + 2*c, 0 = 2*a - c + w for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1 + 7*p - 3*p - 1 - 2*p**2. Suppose 0*q + 4*q - d - 10 = 0, 0 = -q - 3*d + 9. Give o(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 5*h - 199 + 186, 0 = -r - h - 4. Sort 3, r, 0, -7, -2.\nAnswer: -7, -2, r, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3304.02 and 1726.9992.\nAnswer: 5031.0192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -5. Let i(r) = r**2 - r. Let y(u) = u**2 + u. Let d(m) = i(m) - 3*y(m). What is d(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9435\/2040 + (-10)\/16 + 4. Solve 14*q = -0*q + a*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -24 and -47\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + 0 + sqrt(75))**2)*3.\nAnswer: -900 + 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 17 = -431*y + 426*y, 3*y = 15 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1780\/(-892) + 2). Let q = r - -228. Let l = 20 - 8. Solve -5 = -5*k - q*g, k + k - l = -4*g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 4*v + 10 = l, 0 = 2*l - 4*v - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 9*z**2 + 4. Let v be k(9). Let u be (-5)\/v*(-11 - -7). Solve 12 + 5 = -p - 3*f, -u*p - 29 = f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.206 in -0.1, 2\/13, -1\/6, -510?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (741646\/(-57))\/(((-28)\/(-6))\/(-7))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 h when three letters picked without replacement from eakkhkkkaeakktakk.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8*6\/(-24) - (-8 + 1). Suppose 4*n + 4*t = o*t + 50, -t = 5*n - 48. Suppose 4*c - 27 = 3*q, -5*c + 5*q + 32 = -8. Solve -c*h = -8*h + n for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616371109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2673585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-2)*(-8)\/12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 + -47. Let u = l - 128.000081. What is u rounded to 5 dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76465, -303427, -681697, -1211275, -1892161, -2724355, -3707857?\nAnswer: -4842667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 95170191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**4\/4 + 2*m**3 + 7*m**2\/2 + 5*m - 1. Let r be d(7). Is r\/((-15)\/(-78)) + -1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-12 - 0) + -9 + 10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n = a + 22*n + 94, 2*a - 4*n + 172 = 0. Let c be (-108)\/a*-4 - (-6 + 0). Factor 0*r + 0 + 4\/5*r**3 + 2\/5*r**4 - c*r**2.\nAnswer: 2*r**2*(r - 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*a + 659*a - 12360 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19230711.\nAnswer: 3, 6410237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - y - 11, 0 = 2*h + y - 3. Solve 4*p - 4 = -h*d, 4*p - 5*p + 4 = -d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19347 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 22\/8 - (-145)\/20. Suppose -m = -5*m + 32. What is the highest common factor of m and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by 159.\nAnswer: 19\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*y - 0*y + 84. Suppose 0 = 4*r - 193 - y. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 - 2*m**5 + 4*m**5)*(29 + 136 + 283 + 6).\nAnswer: 454*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 159412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*w + 37*w - p = 76, -9*w + p = -96 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 11*m + 56*m.\nAnswer: 64*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.1 (b) -0.9 (c) 67\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -4, 3, -0.018, 0.1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -33) + -15 + 22 - (8 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550 = -57*i + 2*i. Solve -63*t = -66*t - d + i, 2*t + 16 = 5*d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 63. Suppose 5*i = 3*j + 503 - v, i - 2*j - 107 = 0. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 9*r**2 + 44*r - 4. Let q be g(-7). Find the common denominator of 97\/50 and ((-9)\/(-120))\/((-1495)\/q + -7).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.46? (a) -8 (b) -8.5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 11*a. Suppose 2*w = o + 23, -5*o - w - 2*w = 89. Let b = 10 + o. Let k be x(b). Solve -2*n + 2*z + k = -2*z, 15 = 4*n - z for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.15 (b) -1543 (c) -5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-44 + 33 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5051839?\nAnswer: 13, 17, 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1469?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6213*m - 46 + 30969*m + 62 - 16)*(2*m**3 + 2*m**3 - 3*m**3).\nAnswer: 37182*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f. Let c(b) = 7*b + 13. Give d(c(u)).\nAnswer: -7*u - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6583897 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57609 and 15?\nAnswer: 288045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjpjjjpjpj. Give prob of sequence pjjp.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 118.37918 to the nearest integer.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -188 in 4\/3, 452485, 4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (23 - 16 + 39)*(4 - 3 - 3)*(-5*c + 5*c - 2*c)*(-4*c + 2*c + 3*c) as f + u*c**2 + a*c and give u.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 174, -582, 1?\nAnswer: 174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6408)\/(-728) + -9)*((-84)\/9 - 7). Let f*c**2 - 2\/13*c**4 + 80\/13 + 4\/13*c**3 - 124\/13*c = 0. What is c?\nAnswer: -5, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/5 + 122*j**4\/5 + 2552*j**3\/5 - 533914*j**2\/5 + 4079849*j\/5 - 3548608\/5 = 0.\nAnswer: -64, 1, 7, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 319 and 2030?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -7*c. Suppose -23 + 71 = -4*m. Let d = 23 + m. Solve c = 2*l - 1 + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3604627 rounded to the nearest ten thousand?\nAnswer: 3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 6. Let k be b(0). Suppose -5*j + k + 14 = 0. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**5\/20 + 2*x**4\/3 + 5*x**3\/6 - x**2\/2 - 8*x. List the prime factors of y(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*p + 15, 5*c + 5 = 2*c - p. Let o = -6 - c. Let b be 4\/o - 2\/6. Is -1\/2 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000583544964 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 17943176 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 minus 1.04?\nAnswer: 93.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xuee when four letters picked without replacement from uxueuexeuuexxe.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from norfaoe. What is prob of sequence nrf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20468279303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(5 + 5*sqrt(108) + -3 + sqrt(108)) + 4)*1)**2.\nAnswer: 2160*sqrt(3) + 35092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 3\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-14))\/(2\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.013 + 51.073. Let w = u - 46. What is the second smallest value in -0.5, w, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 51) + (14 - (-11 + 21)) + 11.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1444 - 1428. What is the least common multiple of 320 and u?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -820, -1633, -2446, -3259, -4072?\n\"Answer: -813*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5158, -10321, -15486, -20653, -25822?\n\"Answer: -l**2 - 5160*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = f - 5*v, -v - v + 6 = 0. Let c = 5 - f. Let u(g) = g + 1. Let q(d) = -d**2 + 5*d + 3. Let w be (0 - 1)*(6 - 3). What is c*q(s) + w*u(s)?\nAnswer: -s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 349, -3, -24, -7, -2 in increasing order.\nAnswer: -24, -7, -3, -2, 2, 4, 349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-195))\/(4\/102)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -457 divided by -457\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153328883 divided by -31.\nAnswer: -4946093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*y = -71*y - 455*y - 20880 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 3 - -1) + 21 + -93 + 25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43680528?\nAnswer: 2, 3, 303337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1019544*r**3 + 763*r**2 + 142*r wrt r.\nAnswer: -6117264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 26 - 8. Let f be (3\/2)\/(p\/18). Suppose 5*u = -y + 24, 4*u = f*u - 2*y + 12. Sort 1, u, -3 in decreasing order.\nAnswer: u, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p - 76*p - 3*b - 13 = 0, -3*b + 17 = -p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/60)\/((-12)\/(-16)))\/((-4)\/(-9)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*s - 141*s - 2*i + 192852, 4*s = 2*i + 192884. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*n**3 + 60730*n**2 - 121625*n + 60840.\nAnswer: 5*(n - 1)**2*(11*n + 12168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + 613\/40*1418. Let q = -21735 + u. Calculate the common denominator of q and -63\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29140093 to the nearest integer?\nAnswer: 308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 92.8 and 328?\nAnswer: 30438.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4574.963 minutes in seconds?\nAnswer: 274497.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) 2 (c) -4\/39 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h + 3. Let m(a) = -5*a + 5. Let g(w) = 6*w - 6. Let j(p) = 4*g(p) + 5*m(p). Let x(c) = 2*j(c) - o(c). Determine x(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122908055034 + 7?\nAnswer: 122908055041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -162 + 161.839. Let k = -0.401 - r. Put -2, 4, k in descending order.\nAnswer: 4, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3360, 3361, 3360, 3357, 3352, 3345?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 83\/4*q**3 - 1224*q**2 - 1\/8*q**4 - 1724463\/8 + 117045\/4*q.\nAnswer: -(q - 51)**3*(q - 13)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3259296 is divided by 1882?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 91039211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.39 + -0.52. Let j = h - -0.03. Let x = -29 + 40. Which is the closest to j? (a) 2\/15 (b) x (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44 by -8464087.\nAnswer: -44\/8464087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a factor of 190266193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45 and 525?\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 11082*o - 379. Calculate i(0).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161*z**3 - 2*z - 38.\nAnswer: 966*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*(sqrt(121) - (sqrt(121) + -3*(sqrt(121) + sqrt(121)*1 + sqrt(121)))))\/((-1*1*sqrt(1100) + sqrt(1100) + sqrt(1100))*3).\nAnswer: 27*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - r + 2. Let n(p) = -p**3 + 31*p**2 + 9*p - 88. Let h(l) = n(l) + 2*w(l). Let i be h(29). Is 0.1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6*26100455\nAnswer: 156602730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -204 + -2870. Let o = x + 15421\/5. Calculate the common denominator of -8\/9 and o.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 y, and 2 r when four letters picked without replacement from {z: 10, r: 4, y: 6}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 122662217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (6 - 8) + 9 + -26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1403057053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a**3 - 10*a**2 - 6*a. Let y(x) = -17*x**3 + 11*x**2 + 6*x. Suppose -h - o - 16 = -6, -3*o + 5 = -4*h. Let g(m) = h*y(m) - 4*c(m). Factor g(t).\nAnswer: 3*t*(t - 1)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 12*b**2 + 14*b + 9. Let m(f) = -1. Let w(x) = k(x) - 6*m(x). Let d be w(-10). Let v = -73 + d. Solve -10 = -7*q + v*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**4 + 19313*f**2 + 73*f + 65 wrt f?\nAnswer: -36*f**2 + 38626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 3*c**2 - c + 1. Let w be n(3). Let q be 8\/(-6)*(w + 5). Let j = q + 4. Solve j = 5*g + 11 - 36 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*c + 3 = 4*k, 5*k - c = 18. What is the units digit of (-1*k)\/((-6)\/28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 6 + 2, -2*w = 4*l - 4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -51. Let p = 11 - u. Let l = p - -22. What is the biggest value in 5, -3, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55, 26, -37, -152, -337, -610, -989, -1492?\nAnswer: -2137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) - (sqrt(11) + -4)) + sqrt(2673)\/sqrt(3).\nAnswer: 6 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 125582?\nAnswer: 125587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2171 and 835.\nAnswer: 10855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20390 - 20390 + 27*z**3 - z**3 - 2*z**3 + 5*z**3 + 2*z**3 - 3*z**3 + 2*z**3 + (2*z - 2*z - 2*z**3)*(-5 + 3 + 1).\nAnswer: 32*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 8:19 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a**4 - 2)*(4 - 6 + 3) - 2*a**4 - a**4 + a**4 + (2 - 1 + 1)*(a**2 - a**4 - a**2) - a**4 + 2*a**4 + 0*a**4.\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -2.04\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189257?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8408474, -16816976, -25225478, -33633980?\nAnswer: -42042482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 2*b**2 - 7*b - 5. Let g be q(-4). Let p = -7 - g. Is (-9)\/3 - -14 - p a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 14) to base 2.\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 1:40 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(76)*3)\/sqrt(4) - (sqrt(76)\/sqrt(4)*-1 + 2*sqrt(19)*-1).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -729045, -729043, -729041, -729039, -729037?\n\"Answer: 2*s - 729047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432)*-4)**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/88282 and -117\/20.\nAnswer: 882820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 28*t**2 + 30*t + 63. Calculate i(-29).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -45*t**2 - 9*t - 3. Let q(m) = 15*m**2 + 3*m + 1. Let f(l) = -6*j(l) - 17*q(l). Calculate the remainder when f(-1) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/13, -2\/7, -1\/43 in ascending order.\nAnswer: -2\/7, -1\/13, -1\/43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 + -55. What is the tens digit of ((-228)\/b)\/((-1)\/10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/45*5*0. Is y bigger than 2\/849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*m**2 + 0*m**2 - 4*m**2)*(3*m**2 - 3*m**2 + m**2) + (-18*m + 9*m**3 + 18*m)*(0*m + 53 - 2*m - 57))*(3 + 1 - 1).\nAnswer: -48*m**4 - 108*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -40 + 7\/6*h**3 + 4*h - 9*h**2. Let i(s) = -20*s + 53. Determine -6*i(w) - 17*v(w).\nAnswer: w - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*(-1)\/(-2)*-1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, o: 2}. What is prob of picking 4 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144905 divided by -144905.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2188.7 rounded to the nearest 10?\nAnswer: -2190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2036?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 10:20 AM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136 - 88. Let s be ((-5)\/(-2) - 0)*u\/10. Suppose s + 24 = 4*r + 4*a, 1 = -a. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 973 = 17*f - 523. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9938090441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*y + 5*u - 4, 2*u = 0. Let o(n) = -53*n**3 - n**2. Let t be o(1). Let g = -34 - t. Solve y*k - k = -g for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96332 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 4, x: 1, m: 1, w: 2}. Give prob of sequence zx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 19 = 4*k. Is 5 a factor of 30\/k*-3*2\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39397.66*-23\nAnswer: 906146.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-25)\/(-10))\/((-10)\/(-5)*-1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 18158 times -195\nAnswer: -3540810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 20, 12, -16, -70, -156, -280, -448?\nAnswer: -666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 267125 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, -0.5, 0.3156?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 3 (b) -3 (c) 0.073 (d) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (10 - (4 - 0)) + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s. Let x(m) = -2*m + 1. Determine -3*n(g) + 2*x(g).\nAnswer: -g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 6*j - 38. Suppose -j*q = -13*q + 342. Is q a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.5676mm in nanometers?\nAnswer: 85567600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3 - 5, 3*d = -2*q - 68. Let i be (-408)\/d - 4\/10. Let h = -14 + i. Calculate the lowest common multiple of h and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -234*l - 1205 + 1208 + 64*l + l**3 as s*l**2 + y*l**3 + a + n*l and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 1526*l - 3324. Let b be d(15). Calculate the highest common divisor of 9 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g**3 - 4*g - 4. Suppose -5*u = -2*u - 6. Suppose -s = -3*s + u. Let b(f) = -f - 1. Give s*i(p) - 4*b(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2792*f - 1010687. Calculate b(362).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqpzkql. What is prob of sequence lkz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**3 - 3470*r**2 - 31412*r + 34880 = 0.\nAnswer: -10, 1, 1744","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -119\/4, 0.05, 4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 206*v**3 - 4*v**2 - 3*v + 16. Let y = 64 + -61. Let n be b(y). Suppose -6*p - 9267 = -5*t - 3*p, 5*p = -3*t + n. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 50 = 8*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 9*o**2 - 39*o - 25. Calculate i(9).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3011*i*n**2 - 3*i*n + i + 3090*n - 2 wrt n.\nAnswer: 6022*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -49*j**3 + 12*j**2 + 14*j + 171. What is the units digit of a(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -59, -4, 1\/3 in increasing order.\nAnswer: -59, -4, -0.5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*p**2 - 27*p**2 + p**3 - 20*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*m - 17 - 8, -4*m = 2*f - 14. Suppose -f*c = -2*c - 375. Suppose 105 = -2*x + c. Round x to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/(-15))\/((-60)\/(-400)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*a = -2, -2*p - 5*a = -5*p + 4. Let j be (-11 + p)*(1 - 0)\/(-2). Find the second derivative of 81*m**4 + 34*m + 0*m - 41*m**j wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 50?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/216 and (2\/108)\/(21 - (-91789)\/(-4389)).\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 - 1 - ((-1 - -1) + -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/2 + 5701*r**3 + 16256400*r**2 + 32490000*r.\nAnswer: r*(r + 2)*(r + 5700)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 + 23814?\nAnswer: 23818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 64.500578 + -64.5. What is k rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -33. Let b = w + 22. Let c = 0.2 + -0.4. Put b, c, -1 in decreasing order.\nAnswer: b, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -92 + 95. Let w = 1100 - 1100.1. What is the closest to w in 2, 0, -1, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13307 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/16 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 - 5*h + 2*h**4 - 107*h**2 - 130*h**2 + 235*h**2 to the form d*h**4 + a*h + l*h**2 + w + p*h**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = -2*i, 7*l - 2*i = 3*l. Suppose -l = -4*t + 59. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45205655)\/(-2660))\/(-181) + 94.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(-10))\/((p*p\/p**0)\/p) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 9)*(3*p + 0*p + 2*p**3 + 12*p) to w*p**2 + j*p**3 + t*p + o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018428 rounded to 5 decimal places?\nAnswer: -0.00184","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*w - 5*u, 3*u - 16 = 2*w - 2*u. Suppose -4*v - 3*l - 3 = -5*v, 2*v - w*l = 10. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 558943351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1003450 to the nearest 1000.\nAnswer: 1003000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-4))\/(76\/(-304)). Put t, 19, 1, -2 in decreasing order.\nAnswer: 19, 1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 22.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 13753?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30668450911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -7) + -4 - -2*2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 882 - 210. Is (-2)\/2 + j\/(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 65*b**4\/8 + 403*b**2. Let y(s) = 5*s. Determine y(n(d)).\nAnswer: 975*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**3 + 159*s**2 - 1038*s + 1416 = 0. Calculate s.\nAnswer: -59, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 25 = 5*p + x, -5*p + 3*x + 48 = 0. Let k = p + 6. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3073490 is divided by 2677.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175087 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3005 - 3005. Put 0.16, -2\/13, v, -1\/7 in ascending order.\nAnswer: -2\/13, -1\/7, v, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184 and 17495272?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 - 46*t**3 - 3*t**3 - 17*t**3.\nAnswer: -64*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3938, -3, -2, -13 in increasing order.\nAnswer: -13, -3, -2, -1, 3938","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(128))*3)**2 + ((sqrt(36)\/(sqrt(9)*-1))\/(sqrt(22)\/(sqrt(33)\/sqrt(3)) + sqrt(2)))**2.\nAnswer: 2305\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0517 - 1.0517. Let u be (-6)\/(-15) - 91\/(-5085). Let y = -3\/113 - u. Sort -5, v, y in increasing order.\nAnswer: -5, v, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 705 and 1195.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -7*k + 6. Let y be q(20). Let p = y + 133. Let f(w) = -230*w**3 + w + 2. What is the tens digit of f(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8973657 + -6.\nAnswer: -8973663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 98586.12793 and -0.5.\nAnswer: 98585.62793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225925 and 875?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5, 221 - 211 = -3*d - 4*x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 5*j**2 - 3. Let l be v(5). Let a = -59 + 61. Sort l, a, 3 in descending order.\nAnswer: 3, a, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38073, 76147, 114219, 152289, 190357?\nAnswer: 228423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 9*m + 22. Let w be q(10). Let t be (-12)\/4 + 51\/w. Determine o so that o**2 - t*o + 1\/4 = 0.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {c: 6, e: 1, o: 2, g: 1, q: 1, t: 4}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/5 less than 281?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 7*w**3 - 265*w**2 + 33*w - 2695. Calculate n(38).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 - -19. Find the common denominator of v + (-124)\/32 - -3 and 47\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 2 + -17 - (-114 - -109)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/1 + (12 - 11). Let p(m) = 2*m - i + 14 - 9 - m**2 - 9*m. Give p(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 7*u + 16. Let d be o(7). What is the second derivative of 58*q**3 - 3*q - d*q**3 - 4*q wrt q?\nAnswer: -42*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 2 + 21 + -16 + 1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -49*m + 63. Let l be h(13). Let w = l - -2285. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d = 59*d - 122*d + 565. Calculate the remainder when 449 is divided by d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-20)\/5)\/2)*-3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 34 + 148 + 3*z**3 - 32 - 54.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/13 - 1028750*u**2\/13 - 712224*u.\nAnswer: 2*u*(u - 514384)*(u + 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 1. Suppose n = -2*j, 0*j = 4*j - n - 6. Let g be x(j). Solve 5*p + 0*p = -5*o + 5, -2*p + 4 = g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25995 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 74 + 96. Let z = 15 + h. Solve 5*m + 9 = 3*g - 11, 3*g = z*m + 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 29*u**2 - 329*u - 4. What are the prime factors of w(13)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 2*m**7\/21 - m**3\/6 - 3*m. Find the second derivative of f(y) wrt y.\nAnswer: 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -627 - -690.9. Let z = 64 - v. Which is the second biggest value? (a) z (b) 1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 - 13*i - 32. Let v be h(15). Suppose 0 = -10*u + 13*u. Which is the smallest value? (a) 0.18 (b) u (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3, -1 - 4 = -f + 5*p. Calculate the remainder when (-35)\/(-10)*36\/7 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 1.69?\nAnswer: -3.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 10545*p + 21. Let z(w) = -13*w**2. What is v(z(s))?\nAnswer: -137085*s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76.07 + -77. Let g = -0.07 + l. Let i be 0\/2 + 1\/2. What is the closest to g in -3, i, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 3*t = -16, 4*x + 200*t - 2 = 197*t. Which is smaller: x or 729\/4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195*u = f - 190*u + 37, -4*f = 3*u + 29. Let g(s) = -5*s**2 - 8*s - 10. What is g(f)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 838 - 1?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 257*c**2 + 22883*c - 2296. Calculate p(-327).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30310848?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -179. Suppose r*i - n - 5847 = 4268, -5*n = 3*i - 10103. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -398 divided by 57?\nAnswer: -398\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4562.341337 rounded to zero decimal places?\nAnswer: -4562","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-1\/3))**(-8))**(-20)*(h**(-3\/2)\/(h**(4\/5)\/h))**27 assuming h is positive.\nAnswer: h**(5347\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451737.\nAnswer: 7, 23, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 2816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*a + (-3 - 1 + 6)*(-6*a + 2*a + 2*a) + (-5 + 4 + 3)*(47*a - 920 + 920) as u + k*a and give k.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 4 - 4)*(82*y - 246 + 246)*(4*y**3 + 5*y**2 - 5*y**2) - 3*y**5 + 3*y**5 - 2*y**5.\nAnswer: 654*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2437 - -2437. Is -1433 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 29 + 27 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.21, 0.3, 0.2, 1\/6, 1\/1026, -1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3766 and -20.7?\nAnswer: -77956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/3660 and 43\/10.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 299*s**3 - 2*s + s**4 - 299*s**3 + 6 to l*s**3 + r*s + a*s**2 + p + y*s**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - a22?\nAnswer: -a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2*s = 8*h - 5, 5*s - 24 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(1\/5))**(-42))**(-34) assuming l is positive.\nAnswer: l**(1428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w = -20*w - 40. Solve 2*y - w = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 19 + 3 - t - 3*t. Let a be s(6). Let g(h) = -2*h - 9. Determine g(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155152, -2, 3, -4 in descending order.\nAnswer: 3, -2, -4, -155152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102201 - 22120210?\nAnswer: -100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 9. Let k be g(-3). What is the greatest common factor of 15 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*n + 41. Let g(r) = 24*r - 7. Is g(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 6 = 4*t. Suppose -t*x + o = -10, x = o + 2*o + 5. Suppose x*f = 54 + 61. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 - 34*r**2 - 5*r + 164. Give u(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -288, -2266, -7660, -18186, -35560, -61498, -97716, -145930?\nAnswer: -207856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40906, -40548, -39556, -37612, -34398?\n\"Answer: 53*g**3 - g**2 - 10*g - 40948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -14*t + 386. Give c(-4).\nAnswer: 442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384 - 668. Let s = u + 287. Sort -4, -5, -36, s in increasing order.\nAnswer: -36, -5, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + 0*z**3 - 3*z - 2*z**3 to the form w + g*z**3 + l*z + r*z**2 and give l.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 1)*(-1 - 5 + 3) - 2 + 0 + 1 + 1 - 3 + 0)*(68 - 121 + 54 - 466*d).\nAnswer: -1398*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/3 + 3\/(-9). Let j be (-3)\/2*(-6)\/27. Which is the nearest to -2\/5? (a) -3 (b) j (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-14)*252\/432.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 13*r - 16*r - 48 = -25*r, 0 = -5*c - 4*r - 66 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 127576217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uouumuumotumo?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 317*x - 330*x + 26520 = 0. List the prime factors of x.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -296 + 463. Let h = l + -167.5. Let b(a) = -a**2 + 12*a + 9. Let u be b(13). Put 0.1, -1, h, u in descending order.\nAnswer: 0.1, h, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*21*6\/((-108)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -239. What are the prime factors of u?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.034, -1 in descending order.\nAnswer: 1, 0.034, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/27 and (-1)\/((-30)\/68) - (-6)\/10.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-68))\/((-1)\/(-10))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 96 = 19. Let i(r) = -r. Let t be i(3). Let a be (-2)\/t + (-62)\/(-6). What is the greatest common divisor of c and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -d0?\nAnswer: d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-9))\/(90\/36)*3\/(-22)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -332024410?\nAnswer: 332024411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in fifteen quarters of a millisecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 plus -4.49?\nAnswer: 20.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -282 = -2*j - 268. Suppose l + 3*s - 294 = 0, -4*l + 1187 = -j*s + 8*s. What are the prime factors of l?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5))**(-5\/2)*l**(-7)*l**(4\/9) assuming l is positive.\nAnswer: l**(-68\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24300?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-20) + 7\/5. Let h(l) = -3*l + 3*l - 7*l**g + 0*l. Let s(f) = f. What is h(s(j))?\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (5 + (-1 + 9 - 1))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/39 and -79\/40794.\nAnswer: 40794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (3 - 0 - 1). Let q be -2 - (0 + 4)*-1. Suppose -5*d = q*l - 17 - 17, -d + 3*l = u. What is the highest common factor of d and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g + 20. Calculate the remainder when 90 is divided by x(11).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 4*a + 9 = 0, -2*d = -24*a + 25*a - 6. Let c(v) = 4 - d + 12*v - 1. Give c(-3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4329799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/3 and -27\/184472386.\nAnswer: 553417158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 98, 150, 226, 326, 450, 598, 770?\n\"Answer: 12*r**2 + 16*r + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -506 - -591.7. Let m = -93 + b. Let q = 7.3 + m. Sort q, 0.3, 0.2 in ascending order.\nAnswer: q, 0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**2 - 16*g. Suppose -2*t = -8 - 4. Suppose 0*d - t = -3*d. Let r(i) = i**2 + 65*i - 2*i**d - 60*i. Calculate 2*o(u) + 7*r(u).\nAnswer: -u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697.0573l in millilitres?\nAnswer: 697057.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15780.88729 + -15781. What is c rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in 1\/8, -0.2, -315, -0.4, -4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*q - 34*q + 58*q + 130 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - k**2 - 18*k**2.\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20930 and 174524.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2.4 * -0.67\nAnswer: -1.608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22901 + 22909. Sort f, -2\/3, -109, 0.3, 5 in ascending order.\nAnswer: -109, -2\/3, 0.3, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*q - 290 = -368 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 8*u**2 + 10*u - 12. Let q be k(9). Let f be (3 + q + -3)\/(-1). Which is smaller: 5\/2 or f?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-811)\/2)\/(25\/(-50))?\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u - 11. What is n(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*q + 28. Let l be (-3 + -1)\/(5 + -3 - 4). Solve -2*b - 2*n = l*b + q, 1 = -3*b - 5*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from nnnnbnbnnnnbnnn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*d - 3. Let j be (-169)\/(-26) + 21\/(-2). Sort 2, j, 4, d.\nAnswer: d, j, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 + 4. Let u be f(-4). Let y = -5 - -5. Suppose -3*r - 238 = -5*r + c, 2*r + u*c - 238 = y. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 652 by 44768.\nAnswer: 163\/11192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81036 - 65940 = -1531*p for p.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g. Let v(p) = 6*p - 2. Give -3*b(m) + v(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/4 - (0 - 1). Let q be (-13)\/((-117)\/12)*6\/16. Which is the third smallest value? (a) q (b) x (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 589 - 299. Calculate the highest common divisor of h and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*-1.329137\nAnswer: 14.620507","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/2*(29 + (-18 - -3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2447, 2, -647 in decreasing order.\nAnswer: 2447, 2, -647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r**2 - 35*r + 30. Let f be s(-16). Suppose -4*d = -w - f, -7*d + 3*w = -6*d - 25. Let p = -3 + 4. Solve -p = -3*q - 16, 3*q + d = -a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 4*z, -z + 5*l = 2*l + 4. Let m = 25\/68 - 2\/17. Let t = 0.1278 + -0.2278. What is the nearest to t in -1, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of -231*s**5\/20 + 3*s**3 - 2*s**2 - 101*s. Find the second derivative of t(o) wrt o.\nAnswer: -1386*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -169*h**5\/30 - h**4\/3 + 5*h**3 - 46*h**2 - 13. What is the second derivative of a(k) wrt k?\nAnswer: -676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00916897673 to 4 dps.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 5*u**3 + 3*u**2 - 8*u**3 - 2*u**4 + 0*u**3 as v*u**3 + n*u + h*u**4 + y*u**2 + a and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 121, 116, 109, 100, 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 55*k**2 - 5. Let q(v) = 166*v**2 - 14. What is 8*n(z) - 3*q(z)?\nAnswer: -58*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*-302.51742.\nAnswer: -4537.7613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6 - 16*f - 1 - 9. Let k be d(-1). Solve -3*g = -0*g + k for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12368*f + 401*f**2 - 12368*f.\nAnswer: 401*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -2*m + 412 + 3858, -5*i + 5375 = -5*m. Find the common denominator of (10\/550)\/(8\/i) and 0 + 166\/(-16) + 0.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13793 divided by 44.\nAnswer: -13793\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/7*f**4 + 0 + 0*f + 0*f**2 - 4\/7*f**3 = 0 for f.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 - 19*u + 9. Let p(g) = g**2 + 9*g - 4. Let o(c) = -2*d(c) - 5*p(c). Let q be o(-7). Is 23 a factor of (46*(-1)\/(-1))\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b**2 + 81*b - 89. Is w(18) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*c + 2491, 6022 + 133 = 5*q - 2*c. Let k = q - -377. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34304706.\nAnswer: 2, 3, 613, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 185416 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: Find the third derivative of -d**2*i**3 + 1903*d**2 - 8191*d*i**3 - d*i**2 - 2*d*i - 4*i**3 wrt i.\nAnswer: -6*d**2 - 49146*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 89*a**2 - 1742*a + 990. Calculate i(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + 3 + 12 + -17\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - 11. Let i = -35 - u. Let h(g) be the first derivative of -g**4\/4 + 2*g**3 - g**2 - 5*g + 2. Determine h(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3833.493us?\nAnswer: 3833493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.243 from -4035188.1.\nAnswer: -4035187.857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 1)*(-w - w + w)*(2*w + 0 + 0)*(-w**2 + w**2 - 3*w**2).\nAnswer: -18*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7 + 9 = 4*t, 8 = t + 5*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = 17. Let f(y) be the second derivative of y**5\/20 - y**4\/6 + y**3\/3 + y**2\/2 - 368*y. Calculate f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 431628.372 milliseconds?\nAnswer: 0.00071367125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12196 less than or equal to 970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 + 0*l**2 + l**2)*(0 - 1 + 3) - 5*l**2 + l**2 + 2 + l**2.\nAnswer: l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -abd2?\nAnswer: -abd6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3119847709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 49936961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/9)\/7*(-60)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -1. Suppose v = -q + 1, 3*v = -v - n*q. What is the second derivative of -2*a**v + 2*a**3 - 2*a**3 + 2*a wrt a?\nAnswer: -40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/53 and 44\/3?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*g**4*q - 6030*g**2*q + 403*g + 1476*q wrt g.\nAnswer: -276*g**2*q - 12060*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*o + 32 + 18 = 0, -o - 19 = 4*s. Let t(x) = x + 7. Let i be t(s). Let c = i + 5. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1323 is divided by 310?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, 87, 389, 861, 1503, 2315?\nAnswer: 3297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 20*i**2 - 38*i - 73. Calculate l(5).\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) 5 (c) -1\/3 (d) 9684\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26666, 26660, 26652, 26642, 26630, 26616?\n\"Answer: -w**2 - 3*w + 26670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -344 + 345. What is the closest to o in -0.5, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7)*-1 - sqrt(7))**2 + -3 + 1.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 h when three letters picked without replacement from {o: 7, h: 3}?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43 and -0.600777?\nAnswer: -25.833411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 232512 and 14868?\nAnswer: 41154624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.73554712.\nAnswer: 0.73554712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 + 1753576940*d + 153751604224988180.\nAnswer: 5*(d + 175357694)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 139 + -92. Suppose 3*r - 29 - m = 2*f, -4*f + 56 = 2*r. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121220122210 (base 3) to base 2\nAnswer: -11010011000001011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87737 is divided by 2039?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 1 + 21. Let c = 10 + v. What is the highest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -212*q**4 - 168*q**2.\nAnswer: -5088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/60 + r**4\/3 + 21*r**3\/2 + 34*r**2. Is 3 a factor of v(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, f: 11, d: 1}. Give prob of picking 3 f.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -12, -8, 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2058920, -2058924, -2058932, -2058944?\n\"Answer: -2*z**2 + 2*z - 2058920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 7:30 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280368 and 123552?\nAnswer: 7289568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 7*u + 12. Suppose 0 = 6*y - 8*y + 32. Let a = -7 + y. Let j be m(a). Is j at least -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 5*v**3\/3 - 638. Let m(n) = -10*n - 9. Calculate m(q(k)).\nAnswer: -50*k**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1636966 divided by -19963?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2874 = h, k - 3*h - 14402 = -4*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away -12360.858?\nAnswer: 12360.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 10 - 0. What is the tens digit of 5\/(-2)*116\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**2 + 7*x + 24. Calculate d(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4812.7617us?\nAnswer: 0.00000133687825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**9*n**(2\/15) assuming n is positive.\nAnswer: n**(137\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.56 + -0.06. Let y = -8 - -6. Let d = y - -1.7. Sort f, d, 4 in decreasing order.\nAnswer: 4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 927*d + 15 = 942*d. Let m(t) be the first derivative of 2\/5*t**5 + 0*t**2 + t - d + 0*t**3 + 0*t**4. Differentiate m(i) with respect to i.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1077586933*r + 1107829553.\nAnswer: 1077586933","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001111111010 (base 2) to base 5.\nAnswer: -411211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -20*h**2 + 847*h - 57. Calculate the remainder when 246 is divided by q(42).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 208391\/5 - 41679. What is the nearest to 2 in o, -0.4, -1\/4, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - b - 718 = 0, w = 5*w + 3*b - 1426. Suppose 2*f = 4*f - w. Suppose r = -64 + f. Does 23 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -3)\/(9*5\/15). Let u(o) be the third derivative of -1\/70*o**7 + 0*o - o**3 + n + 16*o**2 - 9\/20*o**5 - 1\/8*o**6 - 7\/8*o**4. Factor u(v).\nAnswer: -3*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4 is divided by (-3)\/(4*18\/(-48)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-31)*c*c*c*c\/(c**(-24)*c)*c*c)\/((c*c\/c**(-1\/26))\/c)**(-2\/17) assuming c is positive.\nAnswer: c**(-194\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 8:51 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - a - 30 = 4*a, 4*u + 2*a = 42. Let j(y) = 2*y - 9. Determine j(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -61093*q + 10. Let s be c(-1). Let f = s + -40014. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (27 + -12 - 14)\/(1\/69). What is the highest common factor of z and 1334?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(((j*j**(2\/9))\/j)\/j))\/j**(-5))\/(j\/(j\/(j*j*j*j*j**0*j*j*j)))**(-46))**(-24) assuming j is positive.\nAnswer: j**(-23672\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**2 + 4*y. Let c(n) be the third derivative of n**4\/12 + 7*n**3\/6 + 6361*n**2. What is o(c(q))?\nAnswer: -44*q**2 - 300*q - 511","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2806 - -1.3118938. Round b to three dps.\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4644652933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 15)*(-3*p + 3*p + 2*p**4) - 4*p**4 - p**4 + 3*p**4.\nAnswer: -26*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10\/13, 1, 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (4 + -2 + 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 28 = 5*k - k, 0 = -4*c + 4*k + 44. Suppose -c*a + 20 = -7. Solve -a*m + m - 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2.45 (b) 1\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 6 - (-6 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 11*s - 9*s - 12*s)*(4 - 12 - 24) in the form j*s + x and give x.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10933897 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -11*s**2 - 6*s**3 + 19*s**2 - 18*s**2 - 16*s + 10. Let r(j) = -2*j**3 - 3*j**2 - 5*j + 3. Calculate 3*f(g) - 10*r(g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*2)\/((-28)\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -22*u + 395. Let o be r(17). Suppose 3*f + 5*j - 40 = 0, 8*j = 5*f + 4*j - 5. Let t = 3 - 3. Solve -4*v - 4*n + o = v, v + n - f = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30\/(-3)*(-10)\/25\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 11*k**3\/6 - 11*k**2\/2 - 26*k. Let j be p(-4). Is -55 not equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j - 34*j - 66*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -232*t**2. Let g(u) = 36*u**2. What is g(o(i))?\nAnswer: 1937664*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 280, 275, 150, -137, -628, -1365, -2390?\nAnswer: -3745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 873284 is divided by 873201.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5499 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 215*3\/75 + -8?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oqqqqo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-208)\/109200*14\/(-16)\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1546*k**2 + 209*k**2 - 1712*k**6 - 8*k**4 + 8*k**4 wrt k?\nAnswer: -205440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 3*x - 2. Let q be f(5). Suppose -406 = -q*s + s. Let a = -41 + s. Solve -4*t + 18 = 3*i - a, 5 = i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 smaller than -198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8832696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t + 92307*t**4 - 92283*t**4 + 2*t**3 + 6*t - 2 - t**3 in the form x*t**3 + l*t**2 + o + i*t + v*t**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -10. Let f = -3 + l. What is the nearest to 2\/7 in -0.5, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 13, -13 in decreasing order.\nAnswer: 13, -13, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/52 and (-1148)\/80 + (-4)\/10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 5*z + 5*z + (z + 1 - 1)*(3 - 2 + 1) - 10*z - 5*z - 5*z to the form s*z + u and give s.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 568437231?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276320 is divided by 46052?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 7:47 PM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 6:33 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, w: 1, m: 1, v: 1}. Give prob of picking 1 p and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -13*g**3 + 5*g**2 - 5*g - 17. Let n(l) = -6*l**3 + 3*l**2 - 3*l - 9. Calculate -5*n(t) + 3*q(t).\nAnswer: -9*t**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-20))\/((-9)\/12).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-1 + 1 - u) - 2*u - 4*u + 4*u + 3162 - 3162 - 174*u.\nAnswer: -175*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -169*y - 14553. What is m(-86)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 118. Is j a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3622, 7241, 10860, 14479, 18098, 21717?\nAnswer: 25336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10749 is divided by 168.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.4 * 28.55.\nAnswer: -97.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6680 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.999962 + -16. What is r rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -625*z. Let n be p(4). Let v be (-1 - 2399)\/(5\/n). What is v rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523123 is divided by 5133.\nAnswer: 4690","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - (14 - -1)) + -7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(3\/(-620)*40\/(-48)). Let s = -423 + r. Does 14 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 3)*(-5*r + 4*r + 2*r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2 + 0*o**2 - o - 4 - o**2 + 5*o. Let f be m(6). Is ((-123)\/6)\/(1\/f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, 0.3, -2261?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7*26\/91*10\/(-4). Solve -2*s + 3*u + 2*u = 17, -i = -s - 2*u for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -7, 5, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -353533, -707055, -1060577, -1414099, -1767621, -2121143?\n\"Answer: -353522*o - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -53?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z - z + 0*z + 3*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2416234 + 10?\nAnswer: 2416244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(30\/177)*6. Let s = v - 178. Which is the nearest to s? (a) -1 (b) -3 (c) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3631 - -3631.062. Is t bigger than 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 15. Suppose -a*x = 23 - 3. Let r(c) = c**2 + 0 - 2 + 4*c + 8 + 2*c. Calculate r(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 15810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + 11. Let j(k) = -k**q + 3*k + 3*k**2 - 1 - 5*k - 6*k**2. Suppose -6*c + 16 = -4*c - 5*y, -3*y = 3*c + 18. Determine j(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5*a + 210, 3*s - 2*s + 51 = 4*a. Let o = -89 - s. Let n = o + 54. Solve -5 = -n*l - 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 111\/508, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*v - 4*h - 3, 0 = v - 3*h + 12. Suppose 2*p + v = -7. Which is the nearest to -0.1? (a) 5 (b) 4\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3535 + -e0?\nAnswer: -3625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*b + 203*b - 4*c - 119850012 = 0, 3*c = -5*b - 199750009. What is b rounded to the nearest one million?\nAnswer: -40000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -71\/7 (b) 3 (c) 0.25 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*o - 3*o. Factor -5*n - 10*n**2 + 5 + 5*n**o + n**5 - 7*n**5 + 10*n**3 + n**5 + 0*n**5.\nAnswer: -5*(n - 1)**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.13, -27, 4\/5, 3\/6635 in descending order.\nAnswer: 4\/5, 0.13, 3\/6635, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c**2 - 7. Let z(q) = -3 + 2*q - 2*q - 292*q**2 + 286*q**2. Calculate 6*a(k) - 14*z(k).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpwvpwpv. What is prob of sequence ww?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.204369337 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 + 108. Let k = -44 - m. Let l = k - -126. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -0.19 (c) -1.8 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/(5\/(-10)). Suppose -3*w = -5*r + 73775, -n*w - 2*w - 123020 = 4*r. Round w to the nearest 1000.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -681*t + 9517. Calculate a(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 305697 times 43?\nAnswer: 13144971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)*-2)**2 + sqrt(3) + sqrt(24)\/(sqrt(16)\/sqrt(2)) + 4)*4.\nAnswer: 8*sqrt(3) + 3088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**3 - 31*j**2 + 16*j - 66. Let r be p(-11). Are 1\/2194 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 61. Determine y(-25).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 34305.4 and -8.\nAnswer: 34297.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 11*x**2 - 4*x + 6. What is the units digit of w(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**4 - 4*n**3 + 143*n**2 - 770964*n wrt n.\nAnswer: 48*n**2 - 24*n + 286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -56*q + 57*q + 26, -45*q + 49*q + 29 = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28186 + 2905. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/567 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*j - 9 = -j, -39 = -5*o + j. Suppose -2*k = -o*k. Differentiate s + 1 + s + k*s - 4 with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*a + 85*a + 98 = 0. Solve o - a + 10 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 225 = 4*p + 201, -4*p = 3*c - 26. What is the smallest value in -3\/98, -4, c, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6, 5*v + 11*c - 7*c = 47498. List the prime factors of v.\nAnswer: 2, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-35) - 36\/63. Let x(i) be the second derivative of 0 - 2\/3*i**3 + m*i + 2*i**2. Find the first derivative of x(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1366 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297.978l in millilitres?\nAnswer: 3297978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in decades?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:40 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/12 - 3*b**2 - 280*b + 5. Let r(t) = -t + 1. Calculate a(y) + 6*r(y).\nAnswer: y**2 - 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2 - 6. Suppose -l - 5 = -s*l. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-40)*n*n**(-1\/7)*n*n**8\/n*n*n*n*n assuming n is positive.\nAnswer: n**(-470\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2693, 14744, 36153, 66920, 107045, 156528?\n\"Answer: 4679*p**2 - 1986*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 7) to base 6.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/5 - 248*k**2 + 11014*k\/5 - 9776\/5.\nAnswer: 2*(k - 611)*(k - 8)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/13 + -1\/78. What is the fourth smallest value in l, -1\/3, -2\/17, -5?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 5 + 4)*(80 - 37 + 98)*(1 + 4*u - 1).\nAnswer: -1692*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30*0.51\nAnswer: 15.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - u = -4796, -4*z + 3*z + 4796 = -5*u. What is the hundreds digit of z\/20 + (-8)\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**3 - 2*y**2 - 2*y + 3. Let o be -4 + 6 - (1 + -10). Let w(z) = 16*z**3 - 11*z**2 - 11*z + 16. Calculate o*j(b) - 2*w(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3 - 4 = 0, 5*o = 4*l + 257. Let z = l + 122. Let w = 104 - z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-18) + (-62)\/(-12). Suppose 0 = 4*x + 8 - 12. Suppose -1 - 9 = -2*c, c = -4*u + x. Sort u, -5, y in decreasing order.\nAnswer: y, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3044158 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 17*r**2 - 3*r + 3. Let b(d) = -15*d**2 + 2*d - 3. Let x(q) = 6*b(q) + 5*z(q). Let m(a) = -56*a**2 - 32*a - 32. Give 3*m(t) - 32*x(t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 582 and 468.\nAnswer: 45396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -15534\nAnswer: -77670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3 + (5 - 2 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120237 to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5386 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17526 and 276.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000573649879 to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*i**3*m**3*y - 181*i**3*m**2*y + 86*i**3*m**2 - 328*i**2*m**3*y + 5*m**3 + 17*m*y wrt m.\nAnswer: -66*i**3*y - 1968*i**2*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -30719, -30728, -30737?\n\"Answer: -9*g - 30710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 11145530?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12117, -23777, -35435, -47091?\nAnswer: -58745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 24136778?\nAnswer: 2\/12068389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-501)\/(-9)*(-5)\/5*-123?\nAnswer: 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 - 3. Let s = -0.9 + x. Let r = 0.6 + s. Which is the third biggest value? (a) r (b) -1\/9 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -29710 - 222?\nAnswer: -29932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 935*j**3*p + 1040*j**3 - 3*j**2 wrt p.\nAnswer: 935*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -9*b + 5*n + 9*n, 78*n + 17 - 2 = 5*b + 83*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of -t**4\/12 - t**3\/6 - 5*t**2\/2 - 23*t. Give o(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 1886*f + 21647. Calculate x(-11).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzdzdzzdzdzdzddzzzz. What is prob of picking 3 z?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2. Let g = -610 - -616. Let y(x) = -11*x + 2. Suppose 2*q = 6 - 0. Let d(o) = o - 1. Let h(k) = g*d(k) + q*y(k). Give h(w(u)).\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3*l - 16, -4*f - f + 5*l + 30 = 0. Solve w**2 - 6 + 3*w**3 - 4*w**2 - 3*w - 3*w**4 + 6*w**2 + 6*w**f = 0 for w.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 31\/(4\/(123 + 1)). Suppose -2*r = 5*d - x, -4*d + 2*r + 409 + 349 = 0. Suppose 4*v + 71 = d. What is the highest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 32. Let v(b) = -1. Let c(n) = -8*n + 7. Let o(j) = -c(j) - 6*v(j). What is the remainder when o(3) is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267 = 291*q + 49 + 266 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-260) - (3\/(-30))\/(20\/(-40))?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 3 + 19 = 0. Suppose -n + u = z*u + 3, n + 4*u = -5. Factor 0*j**2 - 2\/3*j**4 + 4\/3*j + 2\/3 - 4\/3*j**n.\nAnswer: -2*(j - 1)*(j + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1088) + 1 + sqrt(1088))**2 + sqrt(1088) + -4 + (-1*sqrt(153)*4 + sqrt(153) + sqrt(153))\/(sqrt(54)\/(1*sqrt(6))).\nAnswer: 38*sqrt(17) + 4350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2714, -3601, -5986, -10619, -18250, -29629?\nAnswer: -45506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - r + 284, -2*x - 37 = -2*r - 221. Solve -6*g = -52 + x for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 5*s = 3*b + 4, 3*b + 3*s - 3 = 0. Suppose b*l - 4 = 5. What is the remainder when 9 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 - 5*p - 871 + 0*p + 856 - 2*p**3 to o + x*p + i*p**3 + v*p**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**3 + 2*q + 2. Let h be i(-1). Let f be 10\/(1 + -5 + h). Solve 55 = 5*n + 4*k + f, -3*n - 5 = -4*k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -1 (d) 2221\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44887?\nAnswer: 44887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000011110 + -1010?\nAnswer: 10000010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276565 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*c = -145, 0 = -4*a - c + 5*c + 104. Let p = -12 + a. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 172 - 52. Let l be 6\/(k\/(-5)) + 0. Which is the nearest to 0.1? (a) l (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2224400711 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165633, -165640, -165651, -165666, -165685, -165708, -165735?\n\"Answer: -2*h**2 - h - 165630","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4769, -12565, -20363, -28163, -35965, -43769?\nAnswer: -51575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*(-96)\/(-32).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 7*v - 35. Let y(h) = -10*h + 13. Let p(l) = l - 1. Let n(k) = 6*p(k) + y(k). Is n(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 209. Let n = 229 + r. Let l(y) = -y**3 - 3*y**2 - 5*y - 2. Let j be l(-3). What is the highest common factor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huyrococuuoo. What is prob of sequence yc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 6) in base 9?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -82\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**3 + 16*t**2 - t - 6. Let a be v(-7). Let p = -97 + a. Solve -5*i - 23 = -d + p*d, 3*d - 4*i - 7 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59597.\nAnswer: 61, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*y = -0*a + a, 17*a + 138 = 12*a - 32*y for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) + sqrt(231)\/sqrt(44))\/sqrt(3))**2*5 + (1*sqrt(70)\/sqrt(2))\/(sqrt(60)\/sqrt(3)) + 2.\nAnswer: sqrt(7)\/2 + 323\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -13705, -13715, -13729, -13747, -13769, -13795, -13825?\n\"Answer: -2*c**2 - 4*c - 13699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 95667320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1817*y**3 + 437*y**3 - 304*y**3 + 24 + 29*y**2 + 654*y**3 wrt y?\nAnswer: 15624","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98 + 54 - -138) + -105.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31427 + 31428.12868. Let i = 0.02418 - f. Let z = -1.1 - i. Round z to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/168 and 17\/6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + (-50 - -28 - -20) - 17?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 616744 and 32.\nAnswer: 2466976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 27*d - 6. Let s be w(8). Let g(f) = f**3 - 16*f**2 + 16*f - 12. Let p be g(15). Suppose -p*z + s = -27. Solve 2*v + z = 7*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + 4*w**2 + w - 1. Let d be z(4). Suppose 0*g = -g - d*n + 3, 0 = -n. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2045159.7 months to years.\nAnswer: 170429.975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 523026 and 833?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*n - 17 + 5, -28 = 3*v + 5*n. Let m be -1 - (-3)\/(v\/4). Let y(l) = 2*l**2 + 4*l + 1. Give y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -580825 - -0.2?\nAnswer: -580824.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2913494?\nAnswer: 2, 17, 85691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*b + 66, 0*b - 3*b = -3*c - 36. What is the remainder when 29 is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/10, 0.3, -1\/3, -47\/6 in decreasing order.\nAnswer: 1, 0.3, -1\/10, -1\/3, -47\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 0 + 0*w - 1\/8*w**4 - 4*w**2 + 1\/30*w**5 + 0*w**3. Find the second derivative of s(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 613 = -7*u + 613. Let v(w) be the second derivative of 5\/6*w**3 - 1\/12*w**4 + 3\/2*w**2 - 2*w + u. Determine v(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-658)\/(-22) - ((-155)\/495 + 8\/36). Solve g + 25 = 11*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 735537787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00988453376 to three decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 20*l**2. Let g(x) = 16*x**2. Determine g(z(s)).\nAnswer: 6400*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -2\/15 (b) 7 (c) -1.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*((-40)\/(-30) + -5). Let c(k) = 7*k - 7. Let q(z) = -3*z + 4. Determine w*q(i) + 6*c(i).\nAnswer: 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2500 and 800348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2822, -2824, -2826, -2828, -2830?\n\"Answer: -2*l - 2820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:19 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35275*g**3 - 5*g + 5 + 30 + 35264*g**3 wrt g.\nAnswer: -33*g**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2733 * -3.26.\nAnswer: 8909.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 154*(-23)\/(-322)*1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 481093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 13 + 4 = 0, -4*m - 277 = -f. Let y be m\/17 - (-5)\/(5\/4). Which is the biggest value? (a) -2\/3 (b) 3 (c) 5 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -1.1. Let k = l + 0.6. Is k bigger than -0.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 106. Suppose -3*v - 21 = -j, 4*j - 5*v + w*v - 9 = 0. Suppose 25 = j*g - 641. What is g rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.13 - -0.13. Let s = f + 5.00004. Round s to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**5 - 6*p**2 + 6*p**2 + (-5 + 5 + 5*p**3)*(-3*p**2 + 6*p**2 - 2*p**2) + (0*p**3 + 0*p**3 + p**3)*(0*p**2 - 3*p**2 + p**2) + 2*p**5 + 4*p**5 - 7*p**5.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5524 - 5470. What is the greatest common divisor of x and 4122?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-45)*(-3)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3128 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 30*m + 83. Is p(28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0975 to two dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -759 + 1904 = -52*r + 469 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/8 of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -20. What is the lowest common multiple of 20 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 47\/9*3\/(-10). Let n = v - -1\/15. Which is the smallest value? (a) n (b) -2\/3 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 9. Find the common denominator of 4944\/616 + (-24)\/(-56) - 5 and (-226)\/(-12) - 3\/h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/5 + 442218*s\/5 - 88444.\nAnswer: 2*(s - 1)*(s + 221110)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2680290 to the nearest ten thousand.\nAnswer: -2680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1467 and 3477.\nAnswer: 1700253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b**3 - 4*b**4 + 2*b + 5*b**3 - 4 + 3*b**4 + 2 as r*b**2 + h + p*b**3 + t*b + u*b**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 0.3 (c) -4 (d) -1\/5 (e) 3\/2 (f) -437 (g) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -9*k**3 - k**2 + 6*k + 5. Let t be d(-1). Solve t*r - 6 = 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 57*w - 6*w + 448 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -12*k. Let s(w) = -2*w**2 + 6*w. What is a(s(c))?\nAnswer: 24*c**2 - 72*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 + 6 = -o. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 24 = 26. Let v be ((-10)\/(-6))\/(1\/(-3)). Sort v, 5, n in ascending order.\nAnswer: v, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 25*l**2 + 2*l + 56. Let i(v) = -20*v - 165. Let p be i(-7). Let r be u(p). Solve 0 = -2*x + 4 + r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/30 - (-2 + (-258)\/10). Suppose 8*y + 21 + l = 0. Let a(c) = -c**3 - 8*c**2 - 7*c + 4. Give a(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17363.779 to the nearest 100.\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304687.\nAnswer: 1304687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 10*d**2 + 2*d - 2. Let j be p(5). Let u be (48\/(-10))\/(j\/(-20)). Differentiate -i**3 - 8 + 20*i**2 - 8*i**2 - u*i**2 wrt i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 4*w + 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/8 and -59\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 4*h**2 + 25 - 10*h**3 + 2*h + 0*h**2 - 19. Let p(a) = -9*a**3 + 6*a**2 + 3*a + 6. Let b(f) = 6*o(f) - 7*p(f). Factor b(m).\nAnswer: 3*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1066846, -4267325, -9601454, -17069233, -26670662, -38405741, -52274470?\n\"Answer: -1066825*x**2 - 4*x - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - t + 47. Is 19 a factor of g(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 4, -148, -5, -0.4, -3 in descending order.\nAnswer: 4, 0.6, -0.4, -3, -5, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 329.0579mm to nanometers.\nAnswer: 329057900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6277, 12546, 18817, 25090, 31365, 37642, 43921?\nAnswer: 50202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1406 and -17\/814.\nAnswer: 15466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*v - 14*v + 50*v + 39*v - 4625 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16576727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 3)*(10*y + 9 + 10 - 16).\nAnswer: -10*y - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 120*y**2 + 4192*y - 358. Calculate j(-35).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 13.4. Which is the third biggest value? (a) m (b) -5 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 799406 is divided by 337?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 56*k**3 + 2*k**2 + k - 2. Let o be i(1). Suppose -b = r - 4*r + o, 4*r = -5*b + 57. What is the remainder when r is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -5*h + 98. Let l be q(19). Let v be l\/18*45*8\/20. Suppose 0 = -5*j + 79 + 56. What is the highest common divisor of v and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.23*-0.08.\nAnswer: -0.5784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 2*x**4\/13 - 14*x**3\/13 + 8*x**2\/13 + 24*x\/13 = 0?\nAnswer: -1, 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 182621.3 kilometers?\nAnswer: 182621300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 1 - 5*d + 0*d)*(-2*d**2 + 345*d + 1461*d + 2*d**3 - 105*d) in the form g*d**2 + x + j*d**4 + a*d**3 + k*d and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(1\/3)\/(y**(-2)\/y*y**0) assuming y is positive.\nAnswer: y**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 0*d**3 + 3*d - 1\/3*d**4 + 0*d**2 + 0. Let p(f) = f. What is p(s(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(1053) + -1 - sqrt(1053))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/18)\/v*v*v*v\/v**8*(v**(-1\/4)*v)**(-3\/4) assuming v is positive.\nAnswer: v**(-953\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -5515, 6 in descending order.\nAnswer: 6, -0.4, -5515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -26. Let b = z - -32. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141075 and 88920.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 7 = 5*y + 9, 4*q + 4 = 0. What is the units digit of y + -1 + (54 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121020 not equal to 121019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1754363, -1754371, -1754393, -1754435, -1754503?\nAnswer: -1754603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -7*b - 16. Give u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -6 - 6. What is the remainder when (-536)\/(-6) - 2\/t is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 13*s + 184. What is b(-22)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/7)\/(i*i\/(((i\/(i\/(i**8*i)))\/i)\/i)))\/(i**(-8)\/(i*i\/(i**(1\/4)*i))) assuming i is positive.\nAnswer: i**(397\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.096136 + -165325\nAnswer: -165324.903864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + -63)*((-3)\/(-6))\/(18\/(-12)). Let x(w) = w**2 - 22*w + 49. Calculate x(y).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in -4\/19, -0.1, 10.3, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(14\/(-35) - (-11)\/15). Suppose -2*q + 427 = -f*j + 43, 3*q - 576 = j. Suppose -20 = -4*p + q. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 72. Let z(j) = 3*j**3 + j**2 + 26*j + 60. Let q be z(-2). Let s = q + x. Solve -5*b = -2*a + 20, 0*b + 5*b + a + s = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*v = -7. Suppose 0 = -2*p - 1 + 7. Let m be 111*(-1)\/(-36) - p. Which is the biggest value? (a) m (b) 2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 6*r - 6. What is j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 - 11*a + 2. Let u be h(-11). Let v be -1*1 - (-1 + -3). Suppose -8 = -o - v*o. Solve 0 = 5*f - m - o - 8, 0 = -2*f + u*m - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/10 in 0.4, -22, -73?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 9*d**2 + 3*d + 27. Let t be f(-9). Solve 2*s - 1 - 5 = -q, t = 2*s - q - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.09201 litres to millilitres.\nAnswer: 17092.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2598913mg in grams?\nAnswer: 0.0002598913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 81?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 657.792387 nanoseconds in weeks?\nAnswer: 0.0000000000010876196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 4*q - 192 + 160, -404 = 32*h + 5*q for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81179, -162171, -243129, -324041, -404895, -485679, -566381, -646989?\nAnswer: -727491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-33))\/d**(-1\/6)*(d*d**(-8)\/d)\/(d\/d**(1\/3)*d) assuming d is positive.\nAnswer: d**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(2*l + 3*l - 7*l) + 4*l - 2 + 5*l - 8*l in the form p + o*l and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*c**2 - 2*c**3 + 5*c - 3*c - 11*c + 9*c in the form u + l*c + r*c**3 + g*c**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 182b9?\nAnswer: -182bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-three quarters of a day?\nAnswer: 19080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9.4 + -10. Let v = -0.5 - m. What is the third biggest value in -3, v, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 631350 and 25803.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/4774 or 1?\nAnswer: -9\/4774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.867 - -11.867. What is the fourth smallest value in t, 0.1, 5\/2, 5, -3\/43?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 33812076.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h - h + 0*h - 4 - 4*h. What is k(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-120)\/80*(-1)\/((-2)\/(-4)). Suppose 6 = d*j - 0. Suppose -3*a - v + 6 = 4*v, 4 = j*a + v. Solve 2*w = -a*m - 2*w - 18, 3*w + 17 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-2*sqrt(48)*1.\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + z - 29 = 0, 2*v - 5*v + 63576*z - 34 = 63563*z for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393 is divided by 196.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 2018917?\nAnswer: 72681012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.26, -1, 4\/9 in ascending order.\nAnswer: -1, -0.26, 1\/3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-14)\/12) + (-9840)\/(-205). Solve 3*x + i*u + 2 = 37*u, 3*x + 4*u + 1 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -612, -152, 918, 2904, 6112, 10848, 17418, 26128?\n\"Answer: 51*f**3 - f**2 + 106*f - 768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 = 25*t + 16*t + 37 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11237 - 11444.76. What is z rounded to the nearest integer?\nAnswer: -208","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41315 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 12*r**2 - r + 11. Let m be j(12). Let w be (3 - (1 - m)) + 21. Let f = w - 14. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -218 (c) 4\/9 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 9:40 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let x(g) = 4*g**2 - 4*g + 53. Let r(i) = 6*a(i) + x(i). What is the first derivative of r(y) wrt y?\nAnswer: 8*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2120982626\/11 - 76592924850647\/397232. Let k = -63\/592 + r. What is the common denominator of (-70)\/36 + (-3)\/(-9) and k?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 - 11 - 5\/(-20)*-12 - -17. Solve 0 = c*x + 59 - 86 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 18 = -17*p + 11*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-1 - -12) + 2 + -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/6 - 1685932*z\/3 + 1421183354312\/3.\nAnswer: (z - 1685932)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3294)\/180 - (6 - (-504)\/(-80)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7030 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12a4 - -78?\nAnswer: 1360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 1. Let g(h) = h + 5. Let k be -2*3\/(-6) - -3. Suppose m + 11 + 8 = k*o, -30 = -5*m - 5*o. Calculate m*g(j) - 5*x(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-130))\/((-24)\/156). Sort -10, s, -9, 3 in decreasing order.\nAnswer: s, 3, -9, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30027 and -3.0496710296?\nAnswer: 30023.9503289704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4170 and 60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-782)\/644 - (-6)\/(-21)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i - 25 = 0. Let f be (1 - -2)*(8 - 7). Put i, 5, f in decreasing order.\nAnswer: 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 + -11. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h\/h**1)*h)**(6\/29))**(-1\/32))**(3\/35) assuming h is positive.\nAnswer: h**(-9\/8120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-132)\/(-135))\/(-4) + 0. Let f be -3 - (-2 + 129\/(-135)). Let h = m - f. Which is the nearest to 0? (a) -3 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 18*l - 9. Give n(17).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**5\/10 + o**4\/12 + 25*o**2\/2 - 2*o + 21. Differentiate x(v) with respect to v.\nAnswer: -6*v**2 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -19*j**3 - j**2 - 2*j + 2. Let x be l(-3). Suppose 270 + x = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/12 - 65*m**3\/2 + 288*m**2 + m - 2510. Factor k(b).\nAnswer: (b - 192)*(b - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4 - 13 = 7*r, 2*r = 3*d - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2875*x - 2875*x + 2*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6902 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-15)\/2)\/5)\/3. Let w = 8 + -7. Let p = w + -5. Put z, 5, p in ascending order.\nAnswer: p, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**4 + 5 + 2*t + 3 - 4. Differentiate d(l) wrt l.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**2*p**2 - 6*b**2*p - b*p**2 + 187*p**2 - 966*p wrt p?\nAnswer: 12*b**2 - 2*b + 374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 54\/5 of a litre?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 23. Suppose -475*z - 1078 + 6778 = 0. Solve z*r + d = 16*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 200 and -1\/5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:09 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/8 + -6 + 3. Let u = t + 1\/4. Let n = -27 + 23. Which is the third smallest value? (a) n (b) u (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8819 and 6.\nAnswer: 52914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 - 75*q + 2.\nAnswer: -75*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(8\/7))))**(-23)\/(z\/(z*z\/(z**(-2\/103)*z))*z**(-3\/16)\/z) assuming z is positive.\nAnswer: z**(-554637\/11536)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/12 + 187\/(-204). Which is smaller: h or -39\/68?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - 24955?\nAnswer: -24977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/3)*r**(-1\/10)*(r\/(r**(-3\/7)*r*r))\/(r**(-4\/5)*r))\/((r\/(r\/r**0))**(-11\/4)*r**(-6)\/(r\/(r*r*r**(1\/11)*r))) assuming r is positive.\nAnswer: r**(7787\/2310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181 - 167. Suppose 5*v + l + 1 = -76, 0 = 4*v - 4*l + 52. Calculate the remainder when (v\/(-6))\/((-2)\/(-20)) is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 4, j: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004482 to 4 decimal places.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 - 5*w - 3. Suppose 5*f = 3*a + 25, 0 = 3*f - 3*a - 3 - 12. Let i(q) = 8*q**2 - 6*q - 4. What is f*i(x) - 6*d(x)?\nAnswer: -2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 638*u - 2755322 + 1224*u + 2753873 wrt u?\nAnswer: 1862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 54547787?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/8 of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 353, 1048, 2393, 4604, 7897?\nAnswer: 12488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.8598 rounded to one decimal place?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*b + 2 = b - 0*b, -c = 10*b - 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*q - 4*a - 17, 10 = 2*q + 4*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.2 - -18. Suppose c - 9 = 2*k - 4, 2*k = -3*c + 7. Let h = -2 + -1. What is the smallest value in h, c, 0, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 6, o: 1, l: 5, c: 3, r: 2}. Give prob of picking 1 b and 2 r.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284663051?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssddstttsstt. What is prob of sequence ttt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in -1, 1\/4, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -120884667+609\nAnswer: -120884058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41*l**4 + 6*l**4 - 32*l**4 - 29*l**4 - 62 wrt l?\nAnswer: -384*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5724 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/16*(16\/21)\/((-10)\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/6)\/((-1)\/3). Suppose 99*c - 109*c = 16820. Is (c\/k)\/((-2)\/4)*2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3269 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) - (-18)\/(720\/(-70))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 + -2 + 5 + 88?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 7*m + 12, l - 393 = 2*m - 400 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60166 - 3*m**2 - 38*m**3 + 3*m**2 - 60182 + 120348.\nAnswer: -38*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -412 (base 8) in base 13?\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -108. Calculate the highest common divisor of i and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2. Let d be 32\/6 + (-2)\/6. Suppose d*p = 2 + 13. Let q(j) = p*j - 4*j - 2*j. Give h(q(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t**3 + 6495*t**2 + 2*t - 115788?\nAnswer: 3*t**2 + 12990*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14953.\nAnswer: 19, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -302*v - 308. Determine q(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1873 + -193. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1587, 3089, 4591, 6093, 7595, 9097?\nAnswer: 10599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 590486 and 676.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*b**3 + 6 - b**4 - 5*b**3 + 16*b**2 + 2*b - 5*b**3 as p*b + h*b**4 + t + m*b**3 + a*b**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**3 - o**2 - o - 1. Give k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -26458 divided by -2\nAnswer: 13229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/9 - 508*f**4\/3 - 98788*f**3\/3 - 2305768*f**2\/9 - 1998854*f\/3 - 568516 = 0?\nAnswer: -377, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*p - k + 4, -5*p - 25 = -4*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 10491*c**3 - 9*c**2 + c**4 - 10491*c**3 - 3*c**4 + 4*c**4 - 3*c**4 + (1 + 2*c**4 - c**4 + 0)*(4 + 0 + 0).\nAnswer: 3*c**4 - 9*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhf when four letters picked without replacement from fhhhfhhf?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - (-4)\/(-4))*181. Do 181 and c have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, b: 7}. What is prob of sequence xx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/5 - 121*f**4\/5 - 4982*f**3\/5 - 44674*f**2\/5 + 4981*f\/5 + 8959 = 0?\nAnswer: -17, -1, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*m - 2, 2*b - 4*m - 2 = 0. Let h(y) = -y**3 - 6*y - 7*y**b + 1 + 5*y - 2*y**2. What is the least common multiple of 11 and h(-1)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47010383 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1)*(-2*c - 11*c - 2*c)*(47*c**2 + 46 - 46).\nAnswer: -1410*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -8*f**5\/15 + 18*f**2. Let h(o) = -2*o**2 - 1. Let y(b) = 3*b**2 + 1. Let d(z) = -2*h(z) - 2*y(z). Calculate d(s(x)).\nAnswer: -2048*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + d + 2. Let y be l(0). Suppose 3 = 2*v - x, -y*v - 5*x = -0 - 21. What is the second derivative of -b**5 - 3*b + v*b - 2*b wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-30)\/(-6) + (-129)\/24. Let d = -5 + 10. What is the smallest value in h, d, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 221292, 221779, 222266?\n\"Answer: 487*n + 220805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 5, q: 7, j: 2, r: 1, i: 1}. What is prob of sequence jiqq?\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**6\/600 + n**5\/15 - 86*n**2 - 2*n. Factor j(z).\nAnswer: -z**2*(z - 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 210946, 210933, 210920, 210907, 210894?\nAnswer: 210881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 - 2. Suppose 15 = 15*s - 0. Let z(w) = -32*w**2 + 193. Let q(f) = s*z(f) + 2*o(f). Differentiate q(c) with respect to c.\nAnswer: -60*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f**2. Let l be (10\/2)\/(-5)*-74. Let o(a) = -3 + 3 + 79*a - l*a. Determine d(o(k)).\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 10*l - 1. Let t be d(0). Let o(q) = -3*q**3 - q. What is o(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(1365\/28)*7\/14\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 11 = -d, 4*b = -3*d - 17 + 28 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 36 = 5*r - 0, 4*t + 12 = -r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let i be -3 + w + 2\/2. Let o = i - -6. Solve c + 1 = -4*j - 3, -j = c - o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1 - 28\/36). Suppose -5*k = -2*k + f, 2*l - 422 = -2*k. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-385)*-3 - (-14)\/(-77)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 3:18 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1312, 1303, 1280, 1237, 1168, 1067?\n\"Answer: -i**3 - i**2 + i + 1313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -5. Let k be 48\/(-18)*a\/36. Suppose 0 = 16*b - 62 + 46. Which is smaller: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/23058 and 29\/35.\nAnswer: 115290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 128057.\nAnswer: 1\/128057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**2 + 7*h + 6 = 0. Calculate h.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*4\/(-12)*-6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -35*l**3 - 176*l**2 - 4*l + 10. Calculate g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7860 = 384*y + 13620 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p. Let i(o) be the second derivative of 0*o**3 - o - 1\/80*o**5 + 0*o**2 - 1\/48*o**4 + p. Determine m, given that i(m) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -4. Let c(g) = -g**2 - g + 9. Calculate c(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7651396001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45373*r - 232 = -45431*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(5*1133\/(-55)))\/((-9)\/(-18)).\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 92*r - 83*r - 10 + 176*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = j + 4*v, 4*j + v = 2*v + 279. Suppose 0*l + 3*l + j = u, -5*l - 4*u - 90 = 0. Is 18 a factor of (-14)\/(-77) + (-788)\/l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 187, -1, -5, 0.1, 23?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**3 - o**2 + 4*o + 5. Let i = -22 + 17. Let t be 4 + 6\/(-2) - i. Is a(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 - 16. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 4*b - 259, -2*s + 93562 = 4*b + 93660 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 4*c - 8, 3*c + 84 = -3*s + 90 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 5727673.\nAnswer: -5727672.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 19*s**2\/2 + 9. Let g(f) be the first derivative of f**3\/3 + 22. Give h(g(i)).\nAnswer: 19*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 51578*n**2 + 55233?\nAnswer: 103156*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from ukkurnuuuurrunk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 3) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8333*-229.\nAnswer: 1908257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 36*h**3 - 2620316*h**2 + 47681671884*h - 26489008980 = 0.\nAnswer: 5\/9, 36393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -119*p**6 + 120*p**6 - 3*p**5 + 3*p**5 + 32*p**2 wrt p.\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 40 = -5*b - 9*w, 0*w + 12 = -5*w + w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*p - 123*p - 9*q = -42, 3*q = -p - 2 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12*d*d**(-23)*d assuming d is positive.\nAnswer: d**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - 55\/(-60). Let m be ((-1)\/3)\/(2\/105). Let i = m - -15. What is the smallest value in i, 0, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(4\/15)*w)\/((w*w*w**(-19))\/w))**(-39) assuming w is positive.\nAnswer: w**(-3757\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*8\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 97137, 97101, 97065, 97035, 97017?\n\"Answer: b**3 - 6*b**2 - 25*b + 97167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3536*a - 2 = -3535*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 260a905 (base 11) to base 4\nAnswer: 101100130320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2700) + (sqrt(675) - sqrt(675)*2 - sqrt(675)))\/(5*(sqrt(576) - (sqrt(576) + (sqrt(576) - (sqrt(576) + 1*sqrt(576)))))*-3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.1 + -1.1. Let s be (6\/((-5)\/(-2) + -4))\/(-1). Let k = 316 + -296. Which is the nearest to g? (a) 3\/7 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-3\/8))**(2\/5) assuming y is positive.\nAnswer: y**(19\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22824*0.639.\nAnswer: 0.14584536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 20460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 n when three letters picked without replacement from kkllnlklkkkllkllnlk.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (2 - 5))\/(2 - 1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**2 + 11*n. Let p = 2 + -2. Let t(q) = p*q**2 + q**2 - 5*q + q**2 - q**2. Let v(j) = 5*t(j) + 3*z(j). Factor v(x).\nAnswer: -4*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*h**3*s + 67577*h**2*s**3 - 6*s**3 + 3*s**2 - 821708 wrt h?\nAnswer: -39*h**2*s + 135154*h*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -24. Suppose 5*a = 2*a - q*o + 269, a - 99 = o. List the prime factors of a.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2) - -2 - (-18)\/(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 6118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -3. Suppose -d*h - 10 = -3*f, 3*h = 5*f - 13 - 0. Let j = 2 - 0. Solve -3*l = 5*z + f - 10, -z - 4 = j*l for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 1)*(-r + 2*r + r) - r - 1 + 1 - 142393 - 2915*r + 142393)*(0*r + r + 0*r) - r**2 + r - r in the form i*r**2 + o + j*r and give i.\nAnswer: -2919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((6\/8)\/((-255)\/136)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + q + 2*q)*(q + 0 + 0 + 4*q - 2*q - q + 4*q - q - q + (2 + 1 - 1)*(0 + 0 + q) + 0*q - q + 2*q)*(-2*q**3 + 3*q**3 - 2*q**3).\nAnswer: -7*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 629 divided by -1109?\nAnswer: -629\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j**2 - 6 - 2*j**3 + 3*j**4 + 4 - j - j**2 + 0 in the form w*j**2 + r*j + m*j**4 + i*j**3 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*b**3 + 7*b**3 - 5*b**3)*(0*b - b + 0*b + (0 - 1 + 2)*(b + 2*b - b) + 3 + 0 - 2 - 3*b) in the form g*b**3 + a*b + v*b**4 + w + x*b**2 and give v.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1943809 - 3*f - 1943809.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 743951?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 377706 and 12.\nAnswer: 755412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Let r be 3\/7 + (m - 1). Let y = 0.13 - 0.13. What is the biggest value in -2, r, y?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15032 - 7285. Is a 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 5652 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1377421681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s - 52. Give z(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162491.\nAnswer: 3, 7, 17, 20063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2 = -4*y - 3, 3*o - 3 = -3*y. Let t = o - 0. Which is smaller: t or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*f + 303 = 274, -2*t - 4*f - 42 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6179 + 5473 - 386*u - 81*u + 38*u wrt u.\nAnswer: -429","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/8 and -65\/8128?\nAnswer: 8128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5 - 11)*(-4 + 4 + 1)*(0 - 1 + 3)*(0*j + 2*j + 0*j + (-6 + 3 + 1)*(1 - 1 + 2*j) + 21*j - 10*j + 2*j) to the form h + m*j and give m.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y. Suppose 14 = 3*z - 4. Let q(v) = 5. Let o(n) = -1. Let u(c) = z*o(c) + q(c). Determine -p(j) - u(j).\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -523 = 3*c + 2*s, s = 5*s - 16. Sort c, 4, 0 in increasing order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40741 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1277756 times -0.03?\nAnswer: 38332.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 850 and 4845000.\nAnswer: 4845000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 135426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1293 + 1331. Let q be (399\/12)\/((-2)\/(-16)). Calculate the highest common divisor of q and i.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 134669844 or 1?\nAnswer: 134669844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 53 - 5\/7*r**4 + 72\/7*r - 60\/7*r**2 + 2\/35*r**5 + 74\/21*r**3. Factor z(h).\nAnswer: 2*(h - 3)**2*(h - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + -14775?\nAnswer: -14800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4131 + 4133. Put -2\/11, w, 37\/3, 2\/13 in descending order.\nAnswer: 37\/3, w, 2\/13, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**2*z**2 + 12989*v**2 - 17*v*z**2 + 18*z wrt z?\nAnswer: -4*v**2*z - 34*v*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + -542. Let r = 1104 - f. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125836 < -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - 0. Let j be (-3)\/(-1) + (-7 - l). Solve -h + 4 = -j*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**1\/z)\/(z**(2\/5)*z))\/(((z\/z**0)\/z)\/(z**(-2)*z)))**(-2\/125) assuming z is positive.\nAnswer: z**(24\/625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 5*t = -80, 252*t - 247*t = 4*n - 64 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1307*a + 1263*a. Solve -5*h - 3*d + 22 = a, 90*d = -5*h + 94*d - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 7\/2*c**2 - 22*c - 7. What is the units digit of j(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 11:55 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16258\/3 - -308896\/57. Let a = -6.16 + 0.16. What is the closest to 0.3 in i, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146725.\nAnswer: 5, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/25 + 2082\/10. Let x = 792 - 895. Let d = x + u. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/5)\/(-3)*(1 - 6). What is the third derivative of 13*r**2 - u*r**3 + 17*r**4 + 4*r**3 - 2*r**3 wrt r?\nAnswer: 408*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*w*y**4 - 15*w*y**3 + 10*w*y**2 + 5*y**4 - y**2 + 443 wrt y?\nAnswer: 264*w*y - 90*w + 120*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 22 = 7. Suppose -3*h - 8 = 2*s - h, -15 = y*h. Solve j - s = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**2 + 1488*q - 56980.\nAnswer: 4*(q - 35)*(q + 407)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 l, 1 c, and 1 i when four letters picked without replacement from {f: 2, l: 2, i: 1, x: 1, c: 2, v: 1}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n - 13*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 27*h + 9. Is j(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, 343, 1381, 3007, 5227, 8047, 11473?\nAnswer: 15511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*s - 9*s. Suppose -p - 18 = -4*g - s*p, 1 = -p. Let n(m) = 0*m + 0*m - 2*m**2 - 4*m - 3 + 3*m**2. Calculate n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 18*f**2 - f**2.\nAnswer: -19*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 9*d - 38. Let s(n) = -27*n + 108. Let b(j) = 17*l(j) + 6*s(j). Let z(u) = 4*u - 1. Give -2*b(r) - 5*z(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -770 + 24569\/32. What is the common denominator of 99\/4 and v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/127838 and -151\/28062?\nAnswer: 1150542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 221 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12\/9)\/((-2)\/(-9)). Let w be (24 - 3) + -3 + 6. What is the greatest common factor of i and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 2760?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 483210, 966432, 1449660, 1932894?\n\"Answer: 3*u**2 + 483213*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 366 + 5362?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from egiigideeeppee. What is prob of sequence iepe?\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.03 and -180439934.\nAnswer: 5413198.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4810526 and 0.4.\nAnswer: 1924210.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 18 = 4*c, c - 15 = a + 5*c. Let d(q) be the first derivative of 3*q**2 - q - 6. Determine d(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -77*t - 2026. Let r(i) = -105*i - 2. Determine s(r(y)).\nAnswer: 8085*y - 1872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 32195996 rounded to the nearest one million?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -25333030 and -25333031 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 11. Suppose 6 - 3 = y, s - 18 = -5*y. Factor -o + 3 + u - s*u**2.\nAnswer: -u*(3*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kv when two letters picked without replacement from {f: 4, n: 1, w: 2, k: 2, v: 2, y: 1}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -12 + 37. Suppose 4*b - 3*q - 3 = -0*q, -1 = -2*b + q. Suppose b*v + s = v. Solve 0 + 5 = -v*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 1. Let j be g(1). Let l be (-1652)\/(-49) - j\/(-14). Let m = l - 18. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, d: 7}. What is prob of sequence ff?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136794?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 47*w. Let u(p) be the first derivative of p**6\/360 + 7*p**3 + 2*p - 50. Let b(j) be the third derivative of u(j). Give b(g(v)).\nAnswer: 2209*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2391 - -2409. Solve 38 = 4*k + m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1028366 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1286420*x**3 + 7952270 wrt x?\nAnswer: -3859260*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 3225?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/93682 and -89\/806.\nAnswer: 1217866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 20 = -0*w. Let u = -4 + w. 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 third root of 185098943 to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 3*z**2 - 2*z - 1. Let k(w) = w + 1. Let t be k(-2). Let f be q(t). What is the nearest to f in 2\/15, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*y + 182 = 175*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**4*k**2 - 2*c**4*k + 129*c**3*o + c**2*k**2 - 7*c*o - 2*k**2*o - 18 wrt c.\nAnswer: -48*c*k**2 - 48*c*k + 774*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 3. Let r(t) = t - 1. Let j(s) = -2*h(s) + 5*r(s). Let x(d) = -4. Let i(m) = -m + 4. Let v(k) = 3*i(k) + 2*x(k). What is 5*j(l) - v(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*n - 342*n + 280*n - 43731 = 0 for n.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l*m**3 - 929220*l*m - 2*l - 2830300*m**3 + 2*m - 5 wrt m?\nAnswer: 12*l*m - 16981800*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 1053*l + 63192. Let i be m(-60). Let r = 1728 + -780. What is the highest common divisor of r and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 171477 and 3?\nAnswer: 171477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 92*q**2 - 44 - 137*q**2 + 44*q**2 - 3*q as n*q**2 + g*q + y and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39549 - -39615.66. Round s to one dp.\nAnswer: 66.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8550)\/12)\/19*(-2)\/(-3)*1\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 330 = -b. Is 16 a factor of (-4930)\/b - (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.18 - -3.82. Is -52 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 4 = 0, 2*g - 115373997*k - 18 = -115373999*k for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -975 + 976. Suppose 7 = 4*h - 1. Suppose 4*o + q - 15 = a, -16 = -3*o - h*a. Solve -f = -o + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*t**2 - 81*t**2 + 242*t**2 - 81*t**2 + 68*t**2 - 75*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 102 = -378. Let m = 356 + -326. What is the greatest common divisor of a and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 200 and -4.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62428484?\nAnswer: 2, 15607121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.905, -1\/75, -0.05, -0.07, -5.\nAnswer: -5, -0.07, -0.05, -1\/75, 0.905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05631221 rounded to 3 decimal places?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 24. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 a factor of 176172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-12) - 78\/18.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -35777212*d. Let i(a) = -2*a. Calculate k(i(l)).\nAnswer: 71554424*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 3905391?\nAnswer: 18\/1301797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 5. Let b(y) = y + 1. Let o(p) = -p**3 - 2*p**2 + 2*p - 4. Let m be o(-3). Give m*q(r) - 4*b(r).\nAnswer: -r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9585 = -5*n - 5*t, 4*n + 74*t - 7664 = 72*t. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*i + 242 + 532 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 18\/(-8) - 10773\/(-28). Let q be (4\/(-14))\/(132\/u). What is the nearest to 2\/7 in q, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/8 - 10120\/330?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**2. Suppose -4*u + 28 = -6*u + 4*z, -3*z + 49 = -5*u. Let l = -6 - u. Let r(h) = h**2 - 7*h**2 + h**2 + 3*h**l. What is a(r(t))?\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 7*x + 247. Let y be h(-35). What is the third smallest value in -194, -2\/11, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/(-2040))\/((-23)\/(-230)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -0.19, 0.4, 0.2, 883\/3, -3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 5*l + 2. Let a = -151 - -146. Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 + 23*u**2 - u - 33. Let m be x(-23). Is (156\/m)\/((-25)\/125) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bhhaaahbbawaba.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 190 and 27296825?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2346*b - 659227. What is s(-281)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Factor -6*u**2 + u**w + 2*u + 3*u**2.\nAnswer: -2*u*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p + 11. Let f(i) = i - 2. Let x(a) = -33*f(a) - 6*r(a). Let d be x(-2). List the prime factors of (-58)\/d + 3\/9.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**4\/f))**(-1\/36)*(f**(-3\/2)*f)**42 assuming f is positive.\nAnswer: f**(-377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 6, 0.01, 4 in increasing order.\nAnswer: -1\/5, 0.01, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 1410.\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 24488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w - 8, -2*w = 96*h - 80*h - 151 + 815 for h.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 4*t**2 + 3*t**2)*(-t + t - 2*t**2) - 2*t**3 + t**4 + 2*t**3 + (5 - 1 - 2)*(-t + t**4 + t) - 3*t**4 + 2*t**4 - 2*t**4.\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5534767*a**3*v**2 + 230*a**3*v - 508*a**3 + 9*a*v wrt v.\nAnswer: 11069534*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-57)\/21 + 3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -5*r - 16*r**2 + 17*r**2 + 5 + r - 15. What is the tens digit of d(20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00887813975 rounded to four dps?\nAnswer: -0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 165 + 0 + (-1)\/(-1). Let f = -72 + h. Suppose -4*y - 30 = -f. Calculate the remainder when y is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 459 and 5247?\nAnswer: 267597","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4*t = -412 - 3608, t = -4*r + 8040. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 323 = -3*o, 2*o + x - 3 = -220. Let j be -1*(-9)\/3 - o\/(-2). Which is smaller: j or -49?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.5796 to 2 decimal places.\nAnswer: -15.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 1030 + 1046. Let t = -0.4 - 2.6. Let l = 7 + t. What is the nearest to -1 in l, d, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.98, -0.5, -1\/220, -1?\nAnswer: -1\/220","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 498079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**2 + 2 + 2\/3*b**3 + 3*b. What is u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1201 - 10?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -849*b + 46. Calculate y(0).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*d = 17053 + 73406. Calculate the remainder when 2129 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 9*n. Let c be 6\/9*3 - -9. Is u(c) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -209? (a) -4 (b) -3 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 + 5*c + 8. Let m(h) = 7*h - 1. Let n(l) = -l**3 + 2*l**2. Suppose -4*r - 16 = -5*a, 2*a - 11 + 3 = 0. Let p be n(r). Let y be m(p). Give d(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 249 - 11 = 5*b, -4*i = -3*b + 187. Let x = -7 - i. Suppose 0 = -3*c - 7 + 70. Calculate the greatest common factor of x and c.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -4*s, -s - 4*s + 4*x - 1 = 0. List the prime factors of s\/6 + 637\/42.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(1377).\nAnswer: -108*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + o - 1. Let t be (-1)\/(-2) + (-6)\/(-12). What are the prime factors of a(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8947.1 - 9571. Let n = -631.902 - a. Let q = 8 + n. What is q rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 - -0.05. Let v = 0.03 - y. What is the third biggest value in v, 1\/2, 2\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44854081 to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 123100 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: Differentiate 48*q*t - 1468*q + 165969*t with respect to q.\nAnswer: 48*t - 1468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((0 + -1)*2\/(54\/6 - 11))\/115\nAnswer: 1\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1979*v**5 - 2*v**4 - 727*v**3 - 11*v**2 + 1346910*v?\nAnswer: -118740*v**2 - 48*v - 4362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39178 + 3072. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 146\/(-4380)*(-20)\/(-6)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -230, -102, 136, 520?\nAnswer: 1086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (7 - 3) - (-2 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14 and 223.6337?\nAnswer: -3130.8718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(sqrt(3) - (sqrt(3) - (sqrt(9)\/sqrt(3)*-4 - sqrt(3)))).\nAnswer: -sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 9*z - 8. Calculate r(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 168 and 4.\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 - 39. Let c = z - -159.00019. What is c rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -47*h**3 - 3*h**2 + 2*h + 1. Give c(-2).\nAnswer: 361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/40, 0.23, -3, -4\/407.\nAnswer: -3, -4\/407, 1\/40, 0.23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83952 is divided by 1353?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 * 4.9\nAnswer: 11.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcuqcccpcppqucq. Give prob of picking 1 q, 1 p, and 1 u.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*q - 68, -11*q + 305 = -6*q - 5*a. Suppose 2*h + 5*s - 3 = 0, h - 2 - 4 = -4*s. Which is smaller: h or q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*r**3 + 358*k**2*r**2 - 120*k*r**2 + r**3 - 3 wrt k.\nAnswer: 4*r**3 + 716*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3363 - 3357. Solve l + 2 = -4*r, 0 = -5*y - r + 23 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8 + 1.1. Which is the closest to -1\/3? (a) 2 (b) -1\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8709376157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17000 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121099 by 121099.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jojgoojjfsjc. What is prob of sequence gsc?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 770?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10113, 20227, 30339, 40449, 50557, 60663?\n\"Answer: -q**2 + 10117*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -2\/1203, -0.3, 109?\nAnswer: -2\/1203","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**7\/1260 - h**6\/180 - h**5\/60 + h**4\/12 - 2*h. Let n(g) be the third derivative of j(g). Factor n(q).\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1457401 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017045942 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + -19733*(5 - 9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -21670?\nAnswer: -21674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6c43 - -123?\nAnswer: 6d66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26)\/(1638\/(-21)))\/(1\/(-90))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 252, 508, 766, 1026, 1288, 1552, 1818?\nAnswer: 2086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b = -4*l - 40, -5*l + 28 = 4*b. Let s = -74 - -68. Let z be s\/(-2)*15\/15. Solve -z*t = b - 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9083*0.018\nAnswer: 163.494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 19. Suppose v - l = -2*b + 11, b = -5*v + 111. What are the prime factors of v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from zzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -m**4\/6 + m**3\/6 - m. Let o(g) = -g**2 - 9*g - 9. Suppose j - 3*f = 11, 3*f = 3*j + 7*f + 19. Let b be o(j). What is d(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 36 = -2*g. Suppose g*j - j + 56 = 0. Let k be (j\/3)\/(14\/(-84)). Calculate the highest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015179 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2 and -27\/343.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36374 is divided by 1732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 6. Let a(l) = -l. Let p be a(-2). Suppose 0 = p*i + 4*h + 2 - 12, -i - 4*h = -15. Calculate c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 414.\nAnswer: 4968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.209 + 0.109. Let x = -755871 + 755863.89919. Let p = x - t. Round p to 4 decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**7\/210 + x**5\/12 + 9*x**2. Find the third derivative of i(j) wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 499149 and 4032.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 372 = 3*y - 4*h, 5*y - 4*h - 608 = 0. Let p = -38 + y. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 634821*v**3 + 261183*v**2 + 7.\nAnswer: -120*v**2 - 3808926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -35031*f + 35030*f - 6*f**2 + 2 + 1 - 12 as q*f**2 + w + g*f and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 + 1)*(0*g - 8*g + 0*g)*(-4 - 1 + 3) - 5*g - 3*g + 5*g + (2*g - 4*g - 3*g)*(2 + 1 + 0).\nAnswer: 62*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1705580 and 1705580.\nAnswer: 1705580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 6680?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 937628, 937606, 937568, 937514, 937444, 937358, 937256?\nAnswer: 937138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 - 5)*(1 + 3 - 2)*(4 - 2*i - 4)*(1 + 1 - 3).\nAnswer: -48*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 259*f + 5. Let i(n) = 257*n + 3. Give 3*i(w) - 2*u(w).\nAnswer: 253*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -238 + 233. What is the third biggest value in 10, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 470.5 - 538. Round l to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**3 + 46*k**3 + 91*k**3 - 17*k**3 - 10*k**3.\nAnswer: 124*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*4\/(-5 + 1). Suppose -3 = -5*v - 5*w + 7, 2*v = 4*w + 4. Solve v = n*l - l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b - b + 4*b**2 + (-3*b + 1 - 1)*(0*b - 2*b + 3*b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 - 135*d**4 + 1056*d**3 + 33084*d**2 + 154224*d + 186624 = 0. What is d?\nAnswer: -48, -9, -4, -2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -0.3. Let s = -129 - -1937\/15. Which is the second biggest value? (a) 2\/7 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0331 and -26.953?\nAnswer: 26.9199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**2. Let a = 37 - 33. Let u(j) = -45 - a*j**2 + 45. Give u(h(x)).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1673*i - 1653*i + 3341*i - 105 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -2, -0.03, -0.05?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/51 (b) 1 (c) -5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*y - 36816 = 0, 71*n - 70*n - 2*y - 12272 = 0. Does 43 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*v**4 - 4 - 3*v**2 - 100*v + 6*v**4 + 101*v + 0*v**3 + 0*v**3 + v**4 + (-3*v - v + 3*v)*(-2*v**3 + 2*v**3 - v**3) + 2*v - 2*v - v**4.\nAnswer: -4*v**4 - 3*v**2 + v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -511 divided by 73\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 16877411\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 234 and 59410?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.14441 litres to millilitres.\nAnswer: 98144.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-60)\/(-42))\/(-10))\/((-12)\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13696 and 64984.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 times -0.05?\nAnswer: 0.0135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 + ((-76938)\/(-7) - 108\/(-126)) + -4.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.87? (a) -0.3 (b) -10 (c) 16 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 3:23 AM?\nAnswer: 12:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 14) in base 3?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*q**2\/6 + 15*q\/2 - 15 = 0. Calculate q.\nAnswer: -3, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 >= -4468?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:51 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhalhlhh. Give prob of sequence lhhh.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*y = 9225, -4*y - 9198 = d - 6*d. Suppose -o + 4*o = d. Let c = o - 321. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from ywywww.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 at most as big as 18\/1175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 5*y = -5*b + 16, b + 6 = 2*y. Sort 4, 330, b, 5 in decreasing order.\nAnswer: 330, 5, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 14. Let b be o(-10). Solve 5*d + 5 = 3*f + 2*f, -b*d = 16 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 725.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -62. Let w(p) = -p + 6. Let c be w(5). Sort 6, c, j.\nAnswer: j, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025777513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5181\/10 + -170993\/330. Let u = 5 - 3. What is the closest to 1 in u, b, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five eighths of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - 4*v**2 + 6*v - 2. Calculate the remainder when f(3) is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106220 times -1?\nAnswer: -106220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y**(-1\/9)*y*y*y**(-18)*y assuming y is positive.\nAnswer: y**(-127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -8. Suppose 3*r = 11 - 2. Suppose -r*w + a*s + 8 = -2, w = s + 3. Solve -6*i = -w*i - 20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -375, -388, -401, -414?\n\"Answer: -13*x - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6)\/(l**(-11)*l))\/(((l\/((l*l\/(l*l*l**(-2)*l)*l)\/l))\/l)\/(l**13*l*l)) assuming l is positive.\nAnswer: l**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2831530?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7967 and 9257911?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-72)*9)\/(2\/((-8)\/(-2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -20, 1\/5, -5 in decreasing order.\nAnswer: 1\/5, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-3)*18\/4. Let r = 3 + -5. Which is greater: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3, 1, 0, -110, 16 in increasing order.\nAnswer: -110, -3, 0, 1, 12, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)*(-10)\/(-5) + 34\/(-6)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7919, -15846, -23779, -31718, -39663, -47614, -55571?\nAnswer: -63534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 8020*p - 8029*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -5857781.\nAnswer: -2343112.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 77 = 2*b - 100, 2*b = -5*c - 17. Let g(j) = -3*j - 7. Let a be g(-3). Solve a*h - b*x - 8 = 4*h, 3*x = -2*h - 7 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20011 and -148.8.\nAnswer: 2977636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = c - 114363, -c - 5*w - 57715 = -172076. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 209 (base 10) to base 14\nAnswer: 10d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1503 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 450 = -5*b, -5*y - 176 = -3*b + 272. Let p = -90 - y. Let i(o) = 6*o**3 - 2*o**2 - 2*o - 1. What is i(p)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6233734 (base 8) to base 5\nAnswer: 410341300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11.244 - -14.3. Let v = w + -0.056. Let h be (-18)\/(-120) + 1\/4. What is the nearest to -1\/3 in 1, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18167 - -18190. Solve u = -5*l - 2*y, 5*y - 126 = 3*l - 106 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**7\/840 + v**4\/12 + v**3\/2 + 3*v**2. Let g(r) be the first derivative of b(r). Differentiate g(c) with respect to c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b - 21. Let a be k(6). Solve a*d - d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 11 - 20 - 21 - 12)*(-1 - 2*w + 1) to h + k*w and give k.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 - 31*k**3 + 9*k**4 + 35*k**3)*(-2*k + 3*k + 0*k - 2).\nAnswer: 6*k**5 - 8*k**4 - 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*b = -24552, 0 = -2*o + 4*b + 5320 + 11008. Is 112 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n*n**(-7)))**18 assuming n is positive.\nAnswer: n**90","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 384 = 5*n, 101 = 3*n + 4*p - 136. Is n a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 7*b + 4*b + 21 = 3*a, -17*a - b + 72 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5699864045.\nAnswer: 5, 97, 11752297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 267022739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*t + 19*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 3*k**2 + 5*k - 2. Let z be i(4). Let t = 5 + -11. Let o = t + 6.3. Sort o, 0, z in increasing order.\nAnswer: 0, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2\/11, -1651, -4, -0.2, 47\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 - (-179 + 116)) + -98?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 22*w + 377. Calculate d(-15).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312754, -3, -1, 2 in ascending order.\nAnswer: -3, -1, 2, 312754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -16*a**3 - 7. Let m(u) = -5*u**3 - 2. What is -7*m(y) + 2*o(y)?\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11415 + 3?\nAnswer: -11412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/6)\/(70\/(-15)). Sort t, -0.4, -0.12.\nAnswer: -0.4, t, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -549440, -2\/77, 14 in descending order.\nAnswer: 14, -2\/77, -549440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**2 + j - 4. Let q(m) = 3*m**2 + m - 3. Calculate 5*k(a) - 6*q(a).\nAnswer: 2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 3*x**2 + 69*x - 72 = 0.\nAnswer: -24, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12\/23, 2, -438?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/18299 and 47\/182990.\nAnswer: 182990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*p - 111*p = -616. Calculate the highest common factor of 1364 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/5)*u*u**(2\/11)\/u*u*u*u*u)**(-24)*(u**0)**5\/(u**(2\/5))**(-8\/5) assuming u is positive.\nAnswer: u**(-30064\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-46)*(-1*6 - 0). Let q(y) = y**3 - 10*y**2 + 10*y - 12. Let a be q(9). What is the third biggest value in -9, a, o?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.03 + -21.5. Let h = j + 10.07. What is the fourth smallest value in 4\/7, -3, 1.1, h?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 5*b**2 + 3*b - 5. Suppose 0 = -3*k - 2*m - 1, -5*m - 11 = -3*k + 23. Suppose -2*c - 5*d = 3, -k*d - 1 = c - 0*d. Give x(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 0 - (-198 + 78 - -22)) + -21\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 240*f + 13. Let c(j) = -240*j - 20. Give 2*c(q) + 3*p(q).\nAnswer: 240*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 3) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 159 = 4*a + 2*v, a + 2*v = 38. What is the greatest common divisor of a and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 2*j = -15. Suppose -460 = -j*n - 2*n. Let o = n + -646\/7. Which is bigger: o or -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, -2, 8, 45, -26 in ascending order.\nAnswer: -26, -3, -2, 8, 14, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffafffjfaasjffs. What is prob of sequence jafj?\nAnswer: 9\/7280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 565 or 564?\nAnswer: 565","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = c + 9 + 5, -3*p = -c + 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 13*w**2 + w + 19. Suppose 25 = 19*r + 82. Let l be (5\/2)\/(2\/(-8)) + r. Calculate p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/882 and -49\/816?\nAnswer: 119952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*g = t - 18, 0 = -5*t + 4*g - 22. Let a be t\/(-9) + (-370)\/15. Let f = -19 - a. Calculate the remainder when 8 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**10*p*p\/p**(-2\/17))\/(p**4*p)**(-35))**42 assuming p is positive.\nAnswer: p**(133602\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 3*u + 3. Let k be l(0). Let p be (0 + -1)\/(k + 12\/(-3)). Let i be 0 - (-4 + 2\/p). Put i, -0.5, 0 in descending order.\nAnswer: i, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1038.4 rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b53c1 (base 15) to base 4.\nAnswer: -13333010230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 21 + 19 + 10 = -5*o, 5*y = 3*o - 7 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, 1\/19, 4, -878052, 5?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2390*b - 1034 = -2296*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times 68?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 11:34 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 - 45*y - 5*y - 21*y - 15*y**2.\nAnswer: -25*y**2 - 71*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 4*o + 5*o)*(5048 - 10095 + 5044 - 79*o).\nAnswer: 79*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*j**4 + 2594*c*j**2 + 5327*c*j - c - 8*j**3 wrt j.\nAnswer: 12*c*j**2 + 5188*c - 48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/3)\/(1\/9). Suppose g*u + 0*u - 24 = 0. Let r be (-11)\/(-4) - u\/(-32). Solve -r*m = x + 8 + 1, -4*x = -2*m + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)\/(y\/(y\/y**(-1\/5))))**(-1\/18)\/((y**2)**(-1\/13)\/((y\/(y\/((y*y\/y**(-8))\/y)))\/y**(1\/3))) assuming y is positive.\nAnswer: y**(6893\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let j(i) be the second derivative of -3*i**4 - 14*i. Calculate s(j(h)).\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -0.9. Which is the smallest value? (a) m (b) -0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 22*c**2 - 20*c + 17. Let b be h(-21). Find the common denominator of (8 + (-2154)\/270)\/(b\/(-1090)) and -113\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (66*i - 6*i + i)*(-i**2 + 0*i + 0*i)*(-4 - 8 + 10)*(-2 + 0 + 3) to h*i**3 + f + d*i**2 + r*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(216)\/sqrt(108) + sqrt(18) + -2*sqrt(1152))\/(sqrt(60)\/(sqrt(490)*-1)).\nAnswer: 287*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1205 divide 1684356230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 7*a**2 + 2*a + 1. Let z be d(-3). Suppose 4*t + p - 4*p = z, -p = 1. What is the remainder when t is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**4\/2 - 126063*h**3 - 5297545443*h**2\/2 - 5297167260*h - 2648520600.\nAnswer: -3*(h + 1)**2*(h + 42020)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 + 0*p + 0*p + (0*p - 2*p + 3*p)*(-4*p + 2*p + p) - p**2 - p**2 - p**2)*(1 + 5 - 5) in the form z*p**2 + f*p + s and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2118 is divided by 68?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/3825529?\nAnswer: 2\/3825529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.011 (b) 187 (c) 0.3 (d) 5 (e) -3 (f) -3\/2 (g) -28.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 3*i + 13. Let a(t) = -8*t - 38. Let z(o) = 4*a(o) + 11*x(o). Let s(n) = -2. What is 9*s(p) - 2*z(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1982 + 6654. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 35 = 2*h, -2*n = -147*h + 1343 + 1444 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - 217*(-11)\/77?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, 281, -2, 2\/9, -0.5, -4 in descending order.\nAnswer: 281, 126, 2\/9, -0.5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/32*(-32)\/10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 18 = y - 5*y, 20 = 5*y. Let a(j) be the first derivative of -j**3\/3 - 11*j**2\/2 - 15*j + 56. Let b be a(-9). Solve 0 = -i*r - 3 - b for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -137, -398, -839, -1466, -2285, -3302, -4523, -5954?\n\"Answer: -a**3 - 84*a**2 - 2*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 129*m - 40 + 104 + 39*m. Let l(b) = -13*b - 5. Let s(n) = -64*l(n) - 5*u(n). Let w(d) = 9*d. What is 4*s(c) + 3*w(c)?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -635, -1269, -1905, -2543, -3183, -3825, -4469?\n\"Answer: -d**2 - 631*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/161? (a) -38\/9 (b) 5 (c) -2.43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6959.\nAnswer: 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, 4, 100, 1 in descending order.\nAnswer: 106, 100, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -1)*(-3)\/(-7 + 10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8016, 15730, 23332, 30822, 38200, 45466, 52620?\nAnswer: 59662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {e: 3, g: 3, k: 3, i: 1, c: 1}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 42.40240695 and -62?\nAnswer: 104.40240695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-342)\/(-9))\/(-38))\/(-1)*2\/40\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*k*p - 5*f**4*p*u + f**4*p + 2*f**2*p*u + 7*f**2 - f*k*p*u - 2*p*u wrt f?\nAnswer: 48*f*k*p - 120*f*p*u + 24*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -65619, -7, 4 in ascending order.\nAnswer: -65619, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 595 = -0*a - 665. Factor 6\/5*g + 21\/5*g**a + 0 + 9\/5*g**4 + 24\/5*g**3.\nAnswer: 3*g*(g + 1)**2*(3*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23406, 23404, 23402?\n\"Answer: -2*o + 23408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 5*l + 46, 3*s - 5*l = s + 46. Suppose -19*r + s*r = 20. Solve -2*u + r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*d - 2*d. Suppose 145 = 12*z - 143. Suppose 0 = d*h + 4*o - z, 8*h = 3*h - 2*o + 22. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2403387944.\nAnswer: 2, 23, 13061891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = m + 4, 0*i + 10 = -m - 4*i. Solve 3*p + 4 = -3*o - m, -o = 2*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -h, 4*y + 5*h = h + 4. Let q be -2*(-3)\/(3 + y). Solve -u = 3 - q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(21)\/(sqrt(363)*2)*3 + -3.\nAnswer: 3*sqrt(7)\/22 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 2 f when four letters picked without replacement from {l: 1, u: 3, w: 5, f: 6}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100100 (base 3) to base 4.\nAnswer: -3330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**46*(n\/n**(-2\/3)*n)**(-17) assuming n is positive.\nAnswer: n**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 150 + 113. What are the prime factors of g?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 6*s**2 + 2*s - 6. Let p(a) = -a**2 + 11*a + 10. Let q be p(9). What is the lowest common multiple of b(6) and (-11)\/(-2)*q\/7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the third derivative of s**6\/120 - 11*s**5\/60 + 5*s**4\/12 + s**3\/3 - 14*s**2. Let m be z(10). Calculate the highest common divisor of 6 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 11*o. Let z be s(-11). Let t(v) = -2*v**2 + 4*v. Let y be t(z). Let b(h) = -h**2 - 7*h - 6. Let f be b(-5). Solve y = -f*d + 5 - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 >= -4775?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-6 + 5 + 1 - 2) - -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1483 from 245.358.\nAnswer: 245.5063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 5*h - 30, -z = -4*h + 491 - 492 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 6*c**2 - 9*c - 6. Let l be k(-7). Calculate the greatest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 539d (base 15) to base 4.\nAnswer: 10110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 17*k**2 + k - 23. Let g be x(17). Let h be (2\/g)\/(10\/(-30)). Let y(q) = -q**3 - q**2 + q. What is y(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44480 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49683716, 99367430, 149051144?\n\"Answer: 49683714*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a century in months?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*k = -190, -6*b + 174 = -b + 3*k. Let a(n) = -25*n + 4. Let x be a(-2). What is the greatest common divisor of x and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Find the third derivative of -5*h**2 - 2*h**5 + 2*h**l + 13*h**2 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -19*y - 28. Suppose 495 = -55*z + 66*z. Calculate the remainder when w(-18) is divided by z.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.06, -2\/33, 0.2, 0.3, -2, -8?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j - i + 30, 5*j + 11918 - 11879 = 2*i for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a milligram in micrograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -312 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 486486693 a multiple of 1037?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**4*n - 73*m**4 - m**3*n + 4*m**3 - 2*m**2*n - 2*m - 187*n - 3 wrt m?\nAnswer: 24*m*n - 1752*m - 6*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -41321207 * 2\nAnswer: -82642414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iititqqq. What is prob of picking 2 q and 1 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = 3*q. Let x be 1\/(2*1\/4). Let m be x\/(-4)*(-24)\/28. What is the second smallest value in -0.2, q, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 619 - 455. Calculate the highest common divisor of 287 and r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 6 = 0. Suppose a*w + 6 = 5*w. Suppose 74 = 3*f + n, 3*f = -w*n + 111 - 39. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16, -5, 2206?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 13221?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1371 - -1438. Let i(a) = a**3 + 4*a**2 - 4*a + 7. Let u be i(-5). What is the remainder when g is divided by -1*u - (-3 + -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 16. Let f be 8\/(-36) + 38\/d. Let u(q) = 34*q + 7. Is u(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97851 and 507?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -577, 1\/7, -0.12, 0?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24310041 (base 5) to base 13.\nAnswer: -8018a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -31.9 (b) 4 (c) -3 (d) 0.027 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1735 or -1731?\nAnswer: -1731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -102 + 148. Does 11 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171641 + 149\nAnswer: 171790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (11 + -160)*(2 - 3) is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 121952267 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -3*h**3\/5 - 381*h**2\/5 - 753*h\/5 - 75 = 0.\nAnswer: -125, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**3 + 177*j**2 - 451*j + 356. Determine m(-91).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*-4 - (sqrt(40)\/sqrt(5))\/sqrt(4)) + -2*((sqrt(162) - 1*sqrt(162)) + sqrt(162))**2)*4*-1.\nAnswer: 84*sqrt(2) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/16)\/(330\/132).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -39, 0.5, -5?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-40))\/((-13)\/260)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842657937 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8497, -16994, -25489, -33982, -42473, -50962?\n\"Answer: v**2 - 8500*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 180, 2.\nAnswer: 1, 2, 180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(143) - sqrt(143)*-1)*2 + sqrt(143) - sqrt(143)))\/(sqrt(539) - (-5*((sqrt(539) - sqrt(539)*-1) + sqrt(539)) - sqrt(539))))**2 + 1 + 0.\nAnswer: 16033\/14161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2664\/2173?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2387.\nAnswer: 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 0*t**2 + 0*t**2)*(-3 - 1 - 1) + 256*t**3 - 121*t**3 + 106*t**3.\nAnswer: 231*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 16*o + 308. What is the units digit of y(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4. Suppose 3*j + 12 = r*l, 3*l - 2*j = 2*l + 8. Suppose l = -3*f + 5 + 1. Solve 0 - f = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -456*h + 82085. What is c(180)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192801 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 + 25. Suppose -j + r*t + 13 = 2*j, -5*t + 47 = 2*j. Calculate the remainder when j is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)\/sqrt(7) + sqrt(25))*2)\/(1*sqrt(30)\/sqrt(6)).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47774785 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -3*t + t + 4*o, 30 = -2*t - 2*o. Let w = t - -24. What is the third derivative of 20*v**5 - w*v**2 + 5*v**2 - 10*v**2 wrt v?\nAnswer: 1200*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -29893 (b) -2 (c) 0 (d) -1\/25 (e) 10 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4152\/93281?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 630.7478cm?\nAnswer: 6307478000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42 - -24.524.\nAnswer: -17.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*j + 5, 3*j - 5*h + 11 = 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22916 + 18412. What are the prime factors of l?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5. Let g = 0 + q. What is the third biggest value in g, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1322423 + -3?\nAnswer: 1322420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + (0 - -4))*-13. Solve 19 = 8*y - s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/3)\/(2\/21). Let o(s) = 2*s - 6. Let p be o(4). Suppose -2*h - h - 10 = j, -p*h = 8. Solve -v - j = -k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27090991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 273102.9nm?\nAnswer: 273.1029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13, 11, 5, -5, -19, -37, -59?\n\"Answer: -2*g**2 + 4*g + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1251, -1249, -1247?\nAnswer: -1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 11612.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 - 147.1. Let i = p - -3.9. Which is the smallest value? (a) i (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 15, 0*l - 2*l - 4*q - 14 = 0. Suppose -5*v = m + 3*m - 341, l*v = -m + 80. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1527*l + 5*x - 180 = -1542*l, 12 = 2*l - 2*x - 12 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 14 + 4 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**2 + 5*b**4 - b**3 + b**2 + b**3 wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.081 - -39.919. Let q = r - 40.00005. What is q rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0*(-8)\/48)\/1)\/3. Let q(l) be the third derivative of 1\/2*l**6 - 5\/42*l**7 + 5\/12*l**4 + 0*l**3 - 3\/4*l**5 + 0 + b*l - 4*l**2. Factor q(k).\nAnswer: -5*k*(k - 1)**2*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141094 is divided by 14109?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*k + 391. Let l = -80 + k. Find x such that -12\/5*x**2 - 22\/5*x**4 + 2\/5 - 28\/5*x**3 - 6\/5*x**l + 2\/5*x = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 8 = m, -3*m = 4*b - 0 - 3. Suppose -38*a + 43*a - 925 = 0. Suppose 3*g - 123 = o, m*o + a = 4*g + 10. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/8*5\/((-40)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 192 + -196. Which is the third biggest value? (a) -2 (b) r (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*x**3 + 23*x**2 - 164*x + 166*x - x**3)*(8*x - 2*x - 2*x) to the form s*x**4 + f + v*x**3 + c*x + t*x**2 and give t.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v**2 + 4*v**2 - 3*v**2 + 5*v**2 + 0*v**2 - 2*v**2 + (-1 - 2 + 2)*(-1 - 2*v**2 + 1))*(v - 2*v + 2*v).\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 163*c - 1812. Let d be p(151). Put d, -2, 74 in descending order.\nAnswer: 74, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -737245*26\nAnswer: -19168370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - ((-8)\/4 - -7 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:48 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 4:48 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1995028 and 1.\nAnswer: -1995027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*l**3 + 40*l**3 + 67*l**3 - 247*l**3 - 2*l**2.\nAnswer: -68*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1236 divided by -1\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y + 1. Let g(p) = 18*p - 2. Calculate -g(w) - 3*z(w).\nAnswer: -15*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -142013547584281 and 0.\nAnswer: -142013547584281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2261378, 2261391, 2261404?\nAnswer: 2261417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/8*3024\/252*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n - 8. Let u be i(-5). Suppose -s + 0*w - w + u = 0, -3*s + 3*w + 117 = 0. What is the greatest common factor of 95 and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3413 (base 16) to base 13\nAnswer: 60b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2422, -14805, -48446, -113983, -222054, -383297, -608350, -907851?\nAnswer: -1292438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.3 - 2.3. Which is the smallest value? (a) 2 (b) -2\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w**3 - w**2. Let s(r) = -r**2. What is -4*s(g) + 4*u(g)?\nAnswer: 16*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x. Let s = 331 - 328. Suppose c - n + 2 = 3, -c = n - s. Let o(b) = 2*b. Determine c*w(f) - o(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27744 a multiple of 408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198249 is divided by 99116.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 70 = 109. Let y(a) be the first derivative of 5 - 4\/3*a**g - 2*a**2 + 0*a. Factor y(h).\nAnswer: -4*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10636, -21271, -31906, -42541?\nAnswer: -53176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q**3 + 69*q**2 - 3*q + 51. Let r be c(23). Is -9 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3492\/151 - 993917\/42280. Let y = -1\/56 + s. Calculate the common denominator of 10\/24*3*10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.965 - 0.035. Let i = z + 2. Which is the nearest to 7? (a) i (b) -4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/40, -14, -0.2, 2 in ascending order.\nAnswer: -14, -0.2, 3\/40, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4962 and 1.\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 6 = 0. Suppose -p - 7 - n = q, -p + 2*q - 7 = 0. Let i = 16 + p. Calculate the remainder when 13 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3\/7, -3, -5\/6, 6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 415760 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 118, 121, 124, 127, 130, 133?\n\"Answer: 3*c + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 16 (b) -14 (c) 2 (d) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3, 103486, -4, -52, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)*t**(-2\/7))\/(t**(-1\/3)*(t**0*t)\/t) assuming t is positive.\nAnswer: t**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28\/183 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133a (base 13) to base 7.\nAnswer: -11012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 4*l**2 - 5*l + 7. Suppose 3*a + 4*d + 11 = -23, -a - 14 = 2*d. What is y(a)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 1888.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27943 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18884\/13 + -1454. Let c = -334 + 337. Suppose -3*a - 6*a = -c*a. Is h bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -0.5, -1\/3, -69, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 381637 to the power of 1\/3, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3c?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 25*s - 1. Let k(r) = 206*r**2 + r - 204*r**2 - r. What is k(t(u))?\nAnswer: 1250*u**2 - 100*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-24)\/18)\/((-5)\/450*3) is divided by 27?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -60*q**2 - 228*q**2 - 7*q**3 - 130*q**2 + 6*q**3 to g + o*q**2 + f*q + a*q**3 and give o.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 70910201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -10*c + 15*c - 4*r, 0 = c + 5*r + 20. What is the closest to c in -3, 0.2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5292 and 11606532.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 403*h + 7 - 3*h**3 - 9*h**2 - 199*h - 204*h in the form r*h + q*h**2 + f*h**3 + a and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -677 + 675 = a + o, -4*a + o = 8. Let p(u) = -9*u**2 - 1. Let y(j) = -28*j**2 + j - 2. Determine a*y(d) + 7*p(d).\nAnswer: -7*d**2 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 10:47 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -86*t**3 + t + 4. What is the tens digit of a(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 295449262?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 + 15 = 5*z, 5*q = -3*z + 20. Suppose -3*o + 2 = -2*o. Suppose -4*m - i - o*i = -117, 0 = -3*m + z*i + 95. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 99 = 2*z, -16*b + 21*b + 235 = 5*z. Solve z - 10 = -8*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 + 159485502*a - 2119635445682667.\nAnswer: -3*(a - 26580917)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -5501836?\nAnswer: 5501828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-236)\/(-6))\/((12\/9)\/2). Suppose -3*f + 91 = -t. Calculate the remainder when f is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/52 + (-4)\/(-26) - (8 - 64380\/7995).\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170967 is divided by 85436.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3220121 (base 5) to base 7.\nAnswer: -314430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10665942 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/16)\/(1248\/(-3328)))\/(-1*2\/(-246))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5928529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2*sqrt(588))\/(sqrt(64)*1))**2 - (((sqrt(48)*-1)**2 - ((sqrt(27) + sqrt(3) - sqrt(3)) + -3)) + sqrt(60)\/sqrt(5)*-5).\nAnswer: -69\/4 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sys when three letters picked without replacement from {s: 6, m: 1, w: 1, z: 3, x: 1, y: 3}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6 + 2, -5*q + 3*o - 36 = 0. Let g be ((-30)\/35)\/(q\/63). What is the third derivative of 28 - 28 - g*s**3 + 13*s**2 wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 20. Let k = f + 12. Suppose 0 = k*n + 2298 + 1402. Round n to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + l**3 + 0*l**3)*(-5 - 15*l + 4 + 2).\nAnswer: 15*l**4 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 58224593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -55 + -49. Let l = o - -158. Factor -46*n**4 + l*n**3 - 26*n**2 + 4*n + 15*n**5 - 2*n**5 + n**5.\nAnswer: 2*n*(n - 1)**3*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 89588 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 4*n. Let a(c) = -5*c. Let d(i) = 51*i. Let l(h) = -21*a(h) - 2*d(h). Calculate 3*l(g) - 2*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 0 - (17 + -18) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1013 by 7.\nAnswer: 1013\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696883?\nAnswer: 11, 63353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*v**2 - 264*v**2 + 130 + 334*v**2 + 0*v + 0*v.\nAnswer: v**2 + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -529, -1065, -1613, -2179, -2769, -3389, -4045, -4743?\n\"Answer: -g**3 - 529*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-17)\/(-6 + (3 - -2)) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9351 * -0.3\nAnswer: -0.28053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**2)**(-13)\/(s**(-2))**(-19))**(-8\/11) assuming s is positive.\nAnswer: s**(200\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1*(-3)\/12*-44. Solve x = 22 - m for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/1607 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2848 bigger than -2854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5)\/q**(1\/15))\/((q*q\/(q**4\/q)*q*q)\/q)**(2\/17))**(-15) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x - 9*x - 2415 = 0. What are the prime factors of x?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80975 + -38098. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202749.07 - 4859.93. Let q = 207614.000048 + w. Let y = -5 + q. Round y to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -557893?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5 + 206997*v**3 + 2493470*v.\nAnswer: 20*v**3 + 1241982*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1386 and 8694.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283, -537, -941, -1477, -2127, -2873, -3697, -4581?\nAnswer: -5507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1791.24524 to the nearest integer.\nAnswer: -1791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6960 and 4785.\nAnswer: 76560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 164*d*f**2 - 596*f**2 with respect to d.\nAnswer: 164*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -109565, -219239, -328965, -438737, -548549, -658395, -768269?\n\"Answer: c**3 - 32*c**2 - 109585*c + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 5, v: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.72915 + 26265.82?\nAnswer: 26269.54915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 - (3 + (-4)\/2 + -15). Let v = 6 + -5. Let f be v*15*6\/2. Calculate the greatest common divisor of b and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1081917, 1081891, 1081865, 1081839, 1081813, 1081787?\n\"Answer: -26*f + 1081943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 1 = -2. Which is bigger: -6\/13 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15630 rounded to the nearest one thousand?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -81 (base 9) to base 8\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -133*w**2 + 139*w - 2. Calculate the smallest common multiple of a(1) and 6\/((-1 - -2)*1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11377500 rounded to the nearest 10000?\nAnswer: 11380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 3*j**2 + 5*j - 2. Let d be v(3). Calculate the greatest common factor of 104 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/4))**47)**24)**30 assuming x is positive.\nAnswer: x**25380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 8. Let f(j) = -4*j**3 - 116*j**2 - 960*j - 2336. Let t(r) = f(r) - 4*p(r). Factor t(b).\nAnswer: -4*(b + 4)*(b + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 + -7.7. Let f = -4 - -4.04. Let r = f + -0.44. Which is the nearest to -0.1? (a) r (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -a - x, 4*x + x = -3*a + 463. Let r = -87 + a. What is the greatest common divisor of 111 and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*m**3 + 120071*m**2 + 3*m + 1782831 wrt m?\nAnswer: -12*m**2 + 240142*m + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 615*12\/(-120)*2\/3.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6 - -4)*(-4)\/8. Let t be 8\/(-30) - (2\/(-3))\/g. What is the second biggest value in -0.2, t, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291773218 to the power of 1\/3, to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 4*p**2 - p - 3. Let j be o(2). Solve 0 = -3*g - 9 + j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 0 - (-129 - -152)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00049574941 rounded to five dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 divided by 849.\nAnswer: -155\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 50073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 171\/2*x**2 - 144 + 0*x**3 - 213\/4*x**4 + 0*x. What is the second derivative of z(v) wrt v?\nAnswer: -1278*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*d**3 + 7046110*d**2 - 1565765*d - 5480300 = 0. Calculate d.\nAnswer: -7\/9, 1, 156580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21508857, 21508891, 21508971, 21509121, 21509365, 21509727, 21510231?\n\"Answer: 4*t**3 - t**2 + 9*t + 21508845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2160179029 and 1312.\nAnswer: -2160177717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124863545 divided by 9365.\nAnswer: 13333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j + 6*j + 6*j - 14*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9023\/4 + -2244. Let t = -699\/7 - -1600\/21. Find the common denominator of t and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 2*p + 5*n, 122*p + 11 = 125*p + 2*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -n**6\/10 + 3*n**3\/2 - n. Find the second derivative of u(o) wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1078)*1*-2)\/(2*sqrt(1152)*5).\nAnswer: 7*sqrt(11)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19842 and 6614.\nAnswer: 19842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - sqrt(112)*-1) + sqrt(7) + 1)*-1.\nAnswer: -6*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44217, -88120, -132023, -175926, -219829?\nAnswer: -263732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62505?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 - -4.97. Let d(z) = z + 9. Let v be d(-7). Suppose v*p - 7 = -1. Sort -3\/4, k, p in decreasing order.\nAnswer: k, p, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10066 divided by 1438?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 324764?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-6) - (-38)\/(-19). Which is the nearest to -2\/3? (a) q (b) -0.2 (c) 4\/7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 628 divide 10070495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 + 23 + -23.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and (3953\/(-59))\/(1 + -2).\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285437?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 438166674?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52988 and 3064.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvvvvvv. Give prob of sequence vvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22158 - -22157.95. Which is the closest to n? (a) -156 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 363, 725, 1087?\n\"Answer: 362*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -69, -75, -83, -93?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3*m = -12, 4*m - 98 - 98 = 3*d - 212 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 120*k + 8487*k**2 - 176*k - 166*k - 8502*k**2 + 2. Let h(a) = -2*a. Give h(r(n)).\nAnswer: 30*n**2 + 444*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x\/(x**(-5)*x))\/x)\/(x\/((x\/(x\/x**(-12)))\/x*x*x))*x*x**(-11)*x**(-4\/5)\/x assuming x is positive.\nAnswer: x**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -134a8 - 12?\nAnswer: -1350a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 446 - 486, 0 = -5*m + z + 5 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + 4*k - 44 - 36, -3*g + 219 = 5*k. What is the remainder when g is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c - 7. Let a(g) be the third derivative of -g**4\/24 - g**3\/6 - 29*g**2. Suppose 0 = -356*y + 367*y + 66. Determine y*a(i) + p(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-49) + (-120)\/182 - (-25)\/((-7800)\/13656)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*1 + (sqrt(26)\/(sqrt(2)*1))**2.\nAnswer: 13 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**3 - 5*b**2 + 9. Let t(f) = -f**3 - 2*f**2 + 5. Let n(p) = -2*h(p) + 5*t(p). Differentiate n(u) with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9046 - -4?\nAnswer: -9042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/8 - 9*l**2\/2 - 189*l\/8 - 135\/4 = 0. What is l?\nAnswer: -30, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 divided by -687?\nAnswer: 326\/687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -326491908080 and -1.5.\nAnswer: -326491908081.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 3*i + 5*f, -525*i - 3*f + 12 = -520*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*g - 27 + 27. Solve g = 21*w - 5*w - 48 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 6*j - 16. Suppose 24 = 4*d - 2*b, -d + 20 = d - 5*b. Solve 5*r - 40 = d*m, -m = -4*m - 2*r - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73\/12 - 23\/4. What is the biggest value in m, -1\/4, 0, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 13 = 2*q, 12 = 6*n - 3*n + 3*q. Let y(a) = a**2 - 5*a - 8. Let u be y(8). Solve u = -p + n*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*y**3 + 2*y**2 - 2*y + 33 wrt y.\nAnswer: 414*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a minute in seconds?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 - 44 = -12*q + 147 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 2*z**2 - z + 1. Let a be q(-3). Let n be (a\/(-15))\/((-2)\/3). Suppose 12*u = 37 - 1. Solve -j - 2*j - u*p = 0, n*j + 21 = 3*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43691 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - -74) + (5 + -3 - (1 - 14))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a week?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2607115 decades in millennia?\nAnswer: 0.002607115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 79200 = -42*x + 34*x. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -11.9. Does d = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -9*b + 51. Let o = 47 - b. Sort 2, 4, -3, o in descending order.\nAnswer: 4, 2, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -q**2 + 899043*q + 181178262 wrt q.\nAnswer: -2*q + 899043","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -4. Let i(s) = 145*s + 8. Is i(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3)\/72*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/602 and 53\/10320?\nAnswer: 72240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 392\/9 + -44. Let m = -0.394 + -0.106. Which is the nearest to -1\/3? (a) k (b) m (c) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15193?\nAnswer: 15193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22800594, 45601191, 68401788, 91202385, 114002982?\nAnswer: 136803579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 i when two letters picked without replacement from ayyaswiwwya?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -445*-1.2.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.465769622 to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/9)\/(144\/(-18)*4\/16)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 4*q + 1661 = 0, -3*q = -0*x - 3*x + 4908. Suppose -984 - x = -7*o. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6691 and 101060.\nAnswer: 94369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 + 189 + 253)*(3*r + 2 - 3*r + 2*r).\nAnswer: 1128*r + 1128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 23975582 and 22?\nAnswer: 263731402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 6) + 9 + 6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 776*h**2 - 6*h - 1687. Let l(n) = -773*n**2 + 5*n + 1690. Let q(w) = -6*l(w) - 5*x(w). What is the first derivative of q(a) wrt a?\nAnswer: 1516*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**29*r\/r**(-19) assuming r is positive.\nAnswer: r**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2079 - -4935. Suppose -1465 = -q - 2*c + d, 3*q + 3*c = 12972. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 15 + 25. Let o(d) = 2*d**2 - 4*d - 3. Let n(j) = 5*j**2 - 12*j - 8. Let z(y) = w*o(y) - 3*n(y). Let x = 2 + -5. Give z(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021 times 120.83\nAnswer: 123367.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d - 24. Let a(b) = -b + 5. Determine -24*a(l) - 5*c(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k + 4*c + 3331 = 14*k, k + 3*c = 670. Does 23 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1338676 divided by 43.\nAnswer: -31132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(((d**(-4)\/d)\/d)\/d))\/(d\/d**(3\/7)*d))\/(((d**(-3)\/d*d)\/d)\/d**(-1\/4)))\/(((d\/d**(2\/11))\/d)**(1\/54))**(18\/13) assuming d is positive.\nAnswer: d**(122321\/12012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -400381.69 minus -7.88?\nAnswer: -400373.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1278011092762 from 156.\nAnswer: 1278011092918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13071023 is divided by 335153.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20168 or 20167?\nAnswer: 20167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*r - 3 + 21 = 0, 5*r - 11 = -3*l. Let b be (-4)\/3*(-6)\/4. Let q = l - b. Let j(c) = -c. What is j(q)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, -4, -9, -3286, 0 in increasing order.\nAnswer: -3286, -9, -4, 0, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2220230200 (base 4) in base 2?\nAnswer: 10101000101100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3598 - -0.0598. Let j = -31 - -95\/3. What is the third biggest value in j, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 58*j - 865. Determine f(38).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 19. Let b = 52 - 52. Suppose 3*i - 34 - 17 = b. Let c = -17 + i. Give q(c).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0078084984 to four dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3952a0 (base 16) to base 11.\nAnswer: -2136516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -15, 3.\nAnswer: -15, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 11*s**2 + 6*s + 1. Let w be h(-1). Let c(o) = -o**3 - 3*o**2 + 55*o - 7. Let l be c(w). Let z be 2\/56*(-20)\/3. Is z at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2549, 1\/49, 4\/5 in descending order.\nAnswer: 4\/5, 1\/49, 3\/2549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 40.5 - 37. Let x = g + -3.5. Let v = 3.9 + 1.1. Are x and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 70 + -206\/3. Let p = -0.14 - -0.01. Let k = p + -3.87. What is the nearest to 0.06 in k, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -68103 (c) -5 (d) 0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1541078?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 3*y - 10, 3*t - 15657 = y - 15658 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 10\/3231?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 4*h**2 + 2*h + 1. Give d(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19481130*n - 24331916 wrt n.\nAnswer: 19481130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-320 - -50)\/(-54) - -33\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 401 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.3021 days in nanoseconds?\nAnswer: 6160501440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/18)\/((-30)\/9090). Is -34 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14700*m**2 - m - 10. Let j be k(-10). Round j to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 - -1) + 22 + -10. Solve -r*p + 7 = 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 169.8 - 1736.832.\nAnswer: -1567.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.509 times 0.1?\nAnswer: -0.0509","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 4*f**2 - 2*f. Let t be i(3). Let y = -1 + t. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 11*r**2 - 131*r - 75. Calculate the remainder when 79 is divided by o(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1797500788?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*78.8.\nAnswer: -39.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 102223*c + 10642002. Calculate u(104).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 545 - 308. Let j = 237 - k. Factor -3\/10*g + j + 1\/10*g**2.\nAnswer: g*(g - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(76) + 0 + sqrt(76) + 2*sqrt(304) + 1 - (-2*((sqrt(475) - sqrt(19)) + -2) + -4))**2.\nAnswer: -38005 - 200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 3. Let g = 9.8 - -3.2. Let x = g - 18. Which is the closest to 1? (a) t (b) -2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2703544?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*u = -6, -2*v - 52*u = -56*u - 12. Let g(a) = 5*a**2 + 27*a - 2. Determine g(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-63900)\/(-864) - 74)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/66 - 18\/22. Let c(b) = -4*b**3 - 2*b**2 - 2*b - 1. Let w be c(a). Solve 2*n - w*r + 31 = 8, n - 4*r = -24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 29017, -16 in descending order.\nAnswer: 29017, 136, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5 - 1 - 5. Let r(j) = -j**2 + 4. Let k(y) = -r(y) - 5*t(y). Let p(s) be the first derivative of k(s). Let v(w) = 22*w**2. Determine v(p(z)).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-11560)\/2601)\/((-2)\/99) is divided by 97.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17403?\nAnswer: 3, 5801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u**2 + 0*u**2 - 4*u**2)*(0*u**3 + 2*u**3 - 4*u**3 + 0*u**3 + 2*u**3 - u**3 + (0*u**3 - 2*u**3 + u**3)*(-1 + 3 + 0)).\nAnswer: 33*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -2*q**3\/51 - q**2\/17 + 4*q\/17 + 5. What is a in j(a) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -8. Let y(d) = -d + 11. Let r be y(5). Let j be (-75)\/r + (-2)\/(-4) + 1. Is j <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 333033.97.\nAnswer: 33303.397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368531931?\nAnswer: 3, 101, 1216277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/75)\/((12\/3)\/20). What is the third biggest value in 4, r, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 57. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**2 - 8*g + 4. Let h be n(5). Let b = h + -12. 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(q) = -q**3 - 14*q**2 - 14*q - 5. Let j = -10871 - -10858. Calculate o(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 5*n + 2*n**3 - n + 0*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -17. Suppose -5*r + 9*r = 0. What is the nearest to r in 0.4, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/2*(8 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 792.501nm?\nAnswer: 0.0000792501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.493053m?\nAnswer: 3493053000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 585 + -588. Let b(c) = c**3 + 3*c**2 + 6*c + 3. What is b(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1183 + 1199. Suppose 5*y = 2*t + t + 1289, 2*t = 2*y - 518. What is the greatest common divisor of c and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one tenth of a week?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k - 7. Suppose -2*h = -0*h + 22. Is 3 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5258.865 - 5259. What is the third biggest value in y, 1, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10460844.\nAnswer: 2, 3, 67, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 61 + -35 + ((3 - 7) + 0 - 44)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1 - 5*q**5 - 4*q**5 - 1 + 5*q**2 wrt q.\nAnswer: -540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000219 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -389 divided by 7275.\nAnswer: -389\/7275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2398?\nAnswer: 11990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 + 415. Suppose 3*w + 13 = 4*x - 7, -3*w + 25 = i*x. Let v(d) = -2*d**2 + 2*d + 8. Let f(u) = -u + 1. Let a(t) = -4*f(t) + v(t). Calculate a(x).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/50 and -14.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 - 12*h - 17. Let k(t) = -t**3 - 16*t**2 + 15*t - 41. Let z be k(-17). Calculate the least common multiple of -1 - 1 - (-1 - 17) and i(z).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 78\/(-12))*1\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 + 1032*t**4 - 53700*t**3 - 2253376*t**2 + 72072960*t = 0 for t.\nAnswer: -40, 0, 24, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64910 + 15930 = 3796*m + 36291 + 115917 for m.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6629\/24 - 829\/3. Which is the fourth smallest value? (a) 82 (b) -0.4 (c) u (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7513, -7512, -7511, -7510, -7509?\nAnswer: -7508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 12*a - 14. Let t = -13 + 9. Let b(o) = o - 1. Let g(f) = t*b(f) + l(f). Does 10 divide g(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/((-15)\/1242)*3\/(-6). Calculate the highest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, 3, -5, -3, -92, 5 in decreasing order.\nAnswer: 51, 5, 3, -3, -5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*t - 69 = 10, 28 = k - 2*t. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (189390\/107)\/(1 - (-5)\/(-6)). What is n rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21470882 is divided by 264?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r**2 + 24*r + 5. Is b(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 55802237?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, e: 2, b: 2}. Give prob of sequence oee.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/12 + 225\/54 + -2. Suppose -2*j = -3*j - 5*s + 59, 44 = j + q*s. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - j**2 + 12*j + 26*j - 73 - j**2 - 3*j**2 + 0*j**2 + (-4 + 4 + 1)*(-j**2 - j + j) in the form i*j**2 + r + f*j and give f.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/936 and -13\/504?\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 - -4)\/((-94)\/(-46) + -2). Let y be 26 + o - 331\/(-1). Which is greater: y or 335?\nAnswer: 335","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(405)*-5.\nAnswer: -45*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-33)\/(-12) - 3\/(-12). Suppose i - 19 = -4*c. Factor j**3 - j**c - 2*j**3 - j**3 + 3*j**3.\nAnswer: -j**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 2*m, 368 = n - 5*m + 108 + 170 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/14788 and 41\/11091.\nAnswer: 44364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -7*s**6\/90 + 101*s**5\/10 - 43*s**4\/3 - 203*s**3\/6 - 182*s**2. Let w(n) be the first derivative of f(n). Factor w(x).\nAnswer: -4*(x - 43)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**2 - 10*l + 475. Calculate the remainder when 120 is divided by t(-17).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -21*f**5\/4 + 8539*f**4\/4 + 2957*f**3 + 409*f**2 - 408*f = 0.\nAnswer: -1, -2\/3, 0, 2\/7, 408","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2299.9833 to 0 decimal places.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001324075 rounded to six dps?\nAnswer: -0.001324","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 2*g**4 + g**3 + 2 - 3 to the form s*g**3 + d*g + a + b*g**4 + p*g**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -374 - -373.828. Let a = -2445 - -2445.1627. Let d = c + a. Round d to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 33690795\nAnswer: -1\/11230265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10196259.\nAnswer: 3, 3398753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -73998332823 and 1?\nAnswer: 73998332824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3164515031 + -5?\nAnswer: 3164515023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 184639*-0.2.\nAnswer: -36927.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -11*l**3 + 2*l + 2. What is the smallest common multiple of 10 and j(-1)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + g - 1. Let o be 3*((-2)\/(-6) + -1). Calculate the remainder when a(o) is divided by 6\/9 + (-37)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2 (b) 1\/6 (c) 1203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (-9 - -11 - (0 + 0 + 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2360 is divided by 306?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*4 + sqrt(153) + (sqrt(153) - sqrt(153)*-2*-4))\/((sqrt(81)*2)\/sqrt(9)*-3).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 211, 475, 807, 1243, 1819, 2571, 3535, 4747?\n\"Answer: 6*f**3 - 2*f**2 + 228*f - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3859 and 681?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -854471*s + 2563404. Calculate b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*f + 4 = -7*f, 0 = -5*y + f + 7. What is the least common multiple of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 31309743?\nAnswer: 31309754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 406 + 170. Let c be 4\/(-18) - 5648\/a. Let h = 45 - c. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -458, -232, 122, 586, 1142, 1772?\n\"Answer: -3*p**3 + 82*p**2 + p - 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 94.\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 + 35 = 9*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 11:29 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -50\/3, -2\/17, -681\/308?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12796196 is divided by 123?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*30*(-3)\/(-30).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 89.72761 and 0.4792.\nAnswer: 90.20681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1027*g. Let t(v) = -7950*v. Let w(j) = 70*a(j) + 9*t(j). Let z(k) = 22*k. Give w(z(o)).\nAnswer: 7480*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(1\/2))*i\/(i**(-1)\/i))**(-2\/41)*(i\/(i\/(i*i**(-3\/13)))*i**(-7))**(-18\/13) assuming i is positive.\nAnswer: i**(58933\/6929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3064825211?\nAnswer: 7, 73, 113, 53077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -206661?\nAnswer: 8\/206661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 5*h - 2116, 2*p - 1251 = -3*h - 3*p. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -33. Let o = 169.7 + -170. Let b = 97\/88 - 11\/8. Put b, 2, o, d in descending order.\nAnswer: 2, b, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22709199 a multiple of 5916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 111116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57445.17 millimeters to micrometers.\nAnswer: 57445170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, y: 4, d: 1, i: 3}. What is prob of picking 1 d and 1 h?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -8 + 14 - 19\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28*5*14\/140\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 705 - 15505\/22. Let f = 2751\/4 - 4097\/6. What is the common denominator of m and f?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5191803 and 56943.\nAnswer: 999","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -42 - (417 + -441)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 16) in base 2?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120100011000110 (base 3) in base 9?\nAnswer: 16304013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2708*h - 1993 - 2257 = -583*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 + 65 + 30*k - 119 + 67 in the form h*k + x*k**2 + n and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.066276 + -0.042755. Round c to 3 dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*13\/(-65)*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d - 152 = 28*d. Suppose 5*k - 22 = d. Find the common denominator of 27\/k*(-3)\/(9\/19) and -41\/11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1907 a factor of 999639865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406*c = 53*c + 706 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 190377.575 rounded to the nearest one hundred?\nAnswer: 190400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3482*d**3 + 2519*d**2?\nAnswer: -20892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5)\/3*882\/(-490) + (-569)\/210 and -5\/171?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(18)\/(sqrt(63)\/sqrt(7)) + (sqrt(10)*5)\/sqrt(5) + 1).\nAnswer: 5 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n**2 + 2*n)*(-937*n**3 - 666*n**3 - 1563*n**3 + 168*n - 169*n).\nAnswer: -6332*n**5 - 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*o - 17, -o + 3*o - 5*p = 0. Sort -0.3, o, 14\/13 in descending order.\nAnswer: o, 14\/13, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 529*g**4\/3 - 92*g**3\/3 + 2*g**2 + 255*g. Factor d(b).\nAnswer: 4*(23*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 685?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1707.\nAnswer: 3, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((1*(sqrt(1539) + 0)*4*-1)**2 + ((2 + sqrt(1539)*-1 + sqrt(1539))**2 + 1)*-6).\nAnswer: 24594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 455 = -s, -9*l + 13*l = 4*s + 364. Calculate the highest common factor of 26 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -69 in 0.1, 0.5, 0, 9, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.008847, -0.5 in decreasing order.\nAnswer: 3, -0.008847, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 88 = -4*d + 3*d, 0 = -5*f + 5*d + 100. Let y(h) = -h**2 + 0 + 7*h - f + 8. Let t be y(5). Which is smaller: 12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - (-11 - (-2 + (-7 - 3) + 6))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3 + 994*y**2 + 187111*y + 186116.\nAnswer: -(y - 1156)*(y + 1)*(y + 161)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.03522 hours in minutes?\nAnswer: 2462.1132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15342448*-0.2.\nAnswer: 3068489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 = 2*g. Let y = g + 0. Suppose 0*n = -y*n + 44. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g*g**(-6))\/g)**(5\/6) assuming g is positive.\nAnswer: g**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of r**5\/24 - 2*r**3\/3 + r. Let t(q) be the second derivative of x(q). Determine t(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1030)\/309*12\/10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*w**2 + 137*w**2 - 46*w**2 + 6*w**3 - 3*w**3 + w**3 - w**2.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = 2515 - 14407. List the prime factors of y.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/3, 18, -29\/3, 3 in increasing order.\nAnswer: -29\/3, -2\/3, 3, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/10 - (-2)\/(-5). Suppose d + 3*t - 15 = 0, -x*t + 0*t + 8 = 0. Suppose 6*f - d*f - 108000 = 0. Round f to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 421 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/(-189))\/1)\/(396\/462).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27695246 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -423.0195 - -0.0195. Let o = -423.0000193 - i. What is o rounded to 6 decimal places?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 25*p - 14. What is l(-5)?\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/5? (a) -2\/11 (b) -12 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -7. Let y(r) = -4*r**2 + 4*r**2 + 2*r**s - 3*r**2. Let l(c) = 12*c. Calculate y(l(a)).\nAnswer: -144*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14177, 14179, 14181, 14183, 14185, 14187?\n\"Answer: 2*f + 14175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.45969984 minus 0.307?\nAnswer: -4.76669984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1264127533651 - 8.\nAnswer: -8.1264127533651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - 2.01. Let j = 0.12 - -4.88. What is the second smallest value in j, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + f + f)*(80 - 2*f**3 - 113 + 3*f**3) to the form r*f**2 + o*f**3 + u + z*f + n*f**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 11*y - 4 - y + 2 - 2 + (1 + 1 + 0)*(-y + 2*y + y))*(0 + 1 - 3) as d + j*y and give j.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -25*k**2 + 17*k + 34. Let w(a) = 3*a**2 - 2*a - 4. Let d(y) = -6*p(y) - 51*w(y). Factor d(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 5*n + 31*n)*(5 - 2*n - 5).\nAnswer: -56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -93 - -1 - (5512 - 5551).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 18990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/36)\/(3\/(-12)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:13 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 83, -5, 5 in descending order.\nAnswer: 83, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 7*r + 18. Calculate p(15).\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 554.5302184 and 21.\nAnswer: 575.5302184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t + 8445 = -8*t. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 18*z - 2. Let h be k(5). Suppose -y - 3*y - 4*m + 240 = 0, 4*y - m - 215 = 0. Let s = h - y. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5515 + -5511. Solve -30*o + 27*o + 9 = 4*l, 5*l = -z*o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4294 - 4*x - 4294.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 4*g + 22 = 0, 0 = 5*k + 2*g - 1 - 27. Solve -k*l = -7*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1010031312 + 20?\nAnswer: 1010031332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - x = 9*n - 1, 4*x + 8 = 0. What is the greatest common factor of 782 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/1171 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + -9 + 2 + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and -0.023.\nAnswer: -1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337398 is divided by 7984?\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*i**4*o - 12*i**4 - i - 383*o wrt i.\nAnswer: 36*i**3*o - 48*i**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14515062 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1307184.4986672 and 0.02.\nAnswer: -1307184.4786672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 5143.58 nanometers?\nAnswer: 0.00000000514358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 j, 1 a, and 1 l when four letters picked without replacement from aaaajpplpapaalptap.\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 14 - 13 - 8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.703 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 p when four letters picked without replacement from bbopupobpbppp?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 - 3. Let k(q) = 3*q**2 - 2. Let t(c) = 5*g(c) - 8*k(c). Let m(f) = -2*f**2 - 3*f + 4 + 3 - 8 + 0. Let x(l) = m(l) + 3*t(l). What is x(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2203, 9710, 22223, 39742, 62267, 89798?\nAnswer: 122335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -128*u - 21. Calculate h(-2).\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 12:54 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 528 and 24?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*a + 3*j = 37*a - 6901, -4 = -2*j. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**3 - 2*h**3 + 2*h**3)*(10 - 4*h + 7*h - 7) to u*h**2 + r + g*h + l*h**4 + d*h**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-5))\/(2\/(-3))*11480\/(-1230).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 216987848 to the power of 1\/2, to the nearest integer?\nAnswer: 14731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.02 + -0.02. What is the nearest to -0.1 in 3\/5, -5, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*i = -38*i + 4384 + 3520 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -49, -5, 1, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -0*n + 2*g - 80, -n + 68 = 5*g. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8 + 0.8006. What is f rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5978\/81 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -1\/6, -33, 2\/9, -0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 1. Let f = -3 + 2.7. Which is the nearest to -1\/2? (a) y (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.044 + 0.444. What is the nearest to -0.4 in 1, o, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/20 and 107\/10600.\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -43?\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.89167 rounded to one dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-1) + 21 + (-1)\/(3\/16)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.07, -3, -2, 13, -106?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5 + 3*m + 11*m - 16*m + 4*m. Let h(z) = -2*z + 4. Let v(r) = r**3 + 4*r**2 + 2*r + 2. Let x be v(-3). Give x*h(f) + 4*q(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 521261 is divided by 121.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w**3 + 14*w**2 - 17*w + 65. Let d(g) = -6*g**3 + 13*g**2 - 16*g + 64. Let z(j) = -6*d(j) + 7*k(j). What is the hundreds digit of z(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 2263 = y, -2*y = -1 - 1. What are the prime factors of d?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9445041 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1376916687?\nAnswer: 3, 152990743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u + 83*u = -m - 14, -12 = 4*u + 5*m. Solve 121*z + u = 123*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/10 + 15*y**2. Let o(n) = n**2. What is p(o(d))?\nAnswer: -6*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14246 and 52.305?\nAnswer: -745137.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 156786434 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279854?\nAnswer: 2, 17, 8231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 57?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = 5*o + 47, 0 = 5*o + 8*l - l - 67 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -2*o**2. Let f(g) be the first derivative of 14*g**3\/3 + 15. What is f(p(j))?\nAnswer: 56*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210000200 + 2?\nAnswer: -210000121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/51)\/(((-16)\/(-4))\/(-8)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.66 + -0.24. Let y = -0.1 + l. What is the third biggest value in y, 0.4, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1072897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5741 and 103.\nAnswer: 5844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58485160, -233940637, -526366432, -935762545?\n\"Answer: -58485159*r**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 - -80 - -10) + -3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1120 + -1122. Let p = -0.002 - 39.998. Let j = -23 - p. Which is the smallest value? (a) j (b) t (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1012212010200 (base 3) to base 9\nAnswer: -1185120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 - (4 + (-1 - (4 + -1))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3065, -24582, -82987, -196724, -384237?\n\"Answer: -3074*f**3 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 25*j - 153. Calculate y(11).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129858 = 42*t + 4*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 7. Let k be b(5). Let p be (1 + -2)*(-5 + 0). Suppose -p*z = k*r - 73, -2*z + 0*z - 5*r + 25 = 0. Is z a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 275*y + 2070 = 0. Calculate y.\nAnswer: -46, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:26 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 25*u**3 + 230*u**2 - 515*u + 290. Let q(h) = -8*h**3 - 77*h**2 + 172*h - 96. Let m(w) = -3*b(w) - 10*q(w). Let m(c) = 0. Calculate c.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 19.6?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1461, -5860, -13191, -23454, -36649, -52776, -71835?\n\"Answer: -1466*w**2 - w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -622 + 308. Let i = k - -177. Let l = 140 + i. Which is the closest to l? (a) -5\/3 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose 7 = y + g. Suppose -31 = -5*i - y. Solve 5*a = 0, 2*a + i + 4 = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 5:11 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698013 is divided by 207?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1100) + (sqrt(1100) - (sqrt(1100) - (sqrt(1100) + 2*(sqrt(1100) - (sqrt(1100) + 1))))))*-3)**2.\nAnswer: -720*sqrt(11) + 39636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 7*b - 2. Let i be k(6). Let s be 23\/(-6) - i\/24. Sort s, -1, 1.\nAnswer: s, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18862320949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44829736099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -82 - -38. Let w = h - -62. Is w a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 8 = o + 12, 4*p + 2*o = -8. Let y(b) be the third derivative of 0*b**5 + 0*b + 0 - 1\/30*b**6 - 1\/6*b**3 + p*b**4 - b**2. Differentiate y(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17108 divided by -5?\nAnswer: 17108\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 10:12 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 8249\nAnswer: 4\/8249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -29951.6 to the nearest 100.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/5))**17\/(h**(-4)*h\/h**3))\/(h**(-3\/5)\/h**(-1\/8))**(32\/5) assuming h is positive.\nAnswer: h**(56\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 (base 6) in base 16?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 1. Let q(z) = 3 + 40*z + 43*z + 45*z - 164*z + 41*z. Suppose -5*i = m - 0 + 4, -3*m = 3*i + 12. Let d = i + -8. Calculate d*c(v) - 3*q(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/(1 - 2). Let m(x) = -1031*x**2 - x. Let w be m(l). Let p = 1449 + w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 10*t + 12. Suppose 4*o = o + 27. Let c be y(o). Solve -5 = -c*s + 7 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 413, -4, 489.\nAnswer: -4, -1, 413, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100100000 (base 2) to base 12.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4713010, 4713009, 4713008, 4713007, 4713006, 4713005?\n\"Answer: -s + 4713011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*o + 6, 26*o + 20 = 2*l + 30*o. Let z(k) = -k**3 + 4*k - 6. What is z(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1127964 and 120?\nAnswer: 11279640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1171, -961, -751, -541, -331?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a micrometer in nanometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/24 + 366*u**2. Let t(p) = -4*p**2 - 291. Determine t(g(a)).\nAnswer: -4*a**2 - 291","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188\/7803 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/33 and 100\/96 - (3 - -1).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 14)\/((8\/(-12))\/(-2)). Solve 2*m = 11*m + j for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029 - -0.063?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 7*u**2 + 10*u + 26. Let v be f(-6). What is the remainder when 120 is divided by 17\/(36\/8 - v - 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16403*a**3 + 892 with respect to a.\nAnswer: -49209*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31832275697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 26 = p, 0 = -5*p + 3*p + 2*h + 12. Solve -i = p - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*d + 9 - 9)*(4*d - 2*d + 0*d) + 832*d**2 - 78845*d + 78845*d in the form i*d + u*d**2 + t and give u.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 976 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, -16.\nAnswer: -16, -1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(-2)\/(4\/3). Suppose -2*x - 4*c = -q, 2*x - 3*c = -4*c + 15. Let u = x + 2. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20b5964 + -3?\nAnswer: -20b5967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136058924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*sqrt(198))\/(4*(sqrt(11) + sqrt(11)*2)*2).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23 - -26. Sort m, -0.2, -4\/5, 8 in descending order.\nAnswer: 8, m, -0.2, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 14. Suppose -f - 2*f = -g. Let l(r) = r**3 - 6*r**2 + 3*r + 6. Let j be l(5). Which is the closest to 1? (a) j (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.04, -5, -2, -0.1, -13?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ohkkuuuukk. Give prob of picking 2 u and 1 h.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 + 391*b**2 + 1604 wrt b.\nAnswer: -3*b**2 + 782*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 546, 788, 1030, 1272?\nAnswer: 1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26850149407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by (27\/(-6))\/((-4)\/48*2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 98?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 12*x - 2. What is w(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.43, 21, 1.242, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.8 and -24709?\nAnswer: 637492.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40776046?\nAnswer: 2, 263, 77521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 0 - 2*f + 2*f**2 - 1\/3*f**3. Let u(s) = 2*s + 1. Let g be u(1). Determine t(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, -3, -2 in descending order.\nAnswer: 7, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 2*l + 8. Let f(h) = 7*h. Let q be f(0). Give b(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 + 335556?\nAnswer: 335356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z - 6. Calculate q(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1147*q = -7816 - 6534 + 586 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 31813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + 2*w + w)*(5 + 1 - 30) as b*w + h and give b.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*(-15)\/12)\/(39\/52)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3904.453 micrometers in centimeters?\nAnswer: 0.3904453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or -996?\nAnswer: -996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6825 and -0.1.\nAnswer: -6825.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 22 (b) -70 (c) -0.1 (d) -3 (e) -0.4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:30 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 176 + 0. Calculate the greatest common factor of y and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p - 8*p = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 9 + 9)*(-11816 - 10406 + 26925).\nAnswer: -14109*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -460, -2657, -8334, -19231, -37088?\n\"Answer: -290*r**3 - 167*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 560\/105*(-3)\/(-2). Let m(p) = -p - 10. Calculate m(n).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.2, -3, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = 2*i - 1376. Suppose d + i = 2*h, h + 2*h - 3*d - 1134 = 0. Suppose -7*a + 46 = -h. Is a a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**3\/3 - 5*z**2\/2 + 6*z. What are the prime factors of x(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*h + 91*h + 28704 = -552*h - 36396 for h.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.0587 * -3\nAnswer: -0.1761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5281641.7 rounded to the nearest 10000?\nAnswer: 5280000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - 53*k**3 + 264*k**3 + 166*k**3.\nAnswer: 377*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -19*x**3 - 2*x**2 + 6*x + 13. Let h(r) = -18*r**3 - 2*r**2 + 4*r + 13. Let w(f) = -3*h(f) + 2*v(f). Does 16 divide w(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 72966*t**2 + 291825*t - 218862.\nAnswer: 3*(t - 24318)*(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -5. Let u = 38 + -38.5. Let g be (-95)\/(-380) + 2\/((-8)\/(-3)). Which is the third smallest value? (a) u (b) g (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 + 7*f**2 - 3*f - 15. Let c be u(-7). Let v(m) = m**3 - 5*m**2 + m - 9. Does 16 divide v(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 i when three letters picked without replacement from pipp.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 24*u - 11*u - u**2 - 10*u. Let o be x(3). Which is bigger: o or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g - 26. Let i(m) = -2*m + 9. Let l(s) = -17*i(s) - 6*z(s). Let x(u) be the third derivative of -u**5\/60 - 317*u**2. What is l(x(d))?\nAnswer: -4*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/79242 and -109\/1554.\nAnswer: 20523678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/16 - 0)\/(((-990)\/88)\/3). Let m = 0.231 + -0.144. Sort -2\/5, -5, t, m in decreasing order.\nAnswer: t, m, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 2*k**2 - 6*k - 6. Let r be h(4). Let i = -29 - -29. Suppose i*x = -r*x - 0*x. Solve x = -w - 2*w - 2*n + 22, -3 = 3*w - 3*n for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -4. Suppose -a*k + 2 = -18. Let q = 10 - k. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -579\/4 + 144*c + 3\/4*c**2 = 0.\nAnswer: -193, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u + 8. Suppose 0*w = 4*w - 16. Suppose -5*v - w*q - 3 = -23, -4*q = v + 12. Let z be n(v). What is the highest common factor of 18 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2053, -4043, -5969, -7831, -9629, -11363, -13033?\n\"Answer: 32*p**2 - 2086*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(648) + sqrt(648)*-5 + sqrt(648)).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -2. What is the second derivative of g*h - 2*h**3 - 5 + 5 wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000294 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 20 = -4*a, -7*j + 25 = -2*j - 5*a. Let n(p) = -p**3 - p**2 + p + 612. What is the hundreds digit of n(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 at most as big as -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5814807mm to meters.\nAnswer: 0.0005814807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 2.04. Let y = -3\/25 - -52\/225. What is the second biggest value in y, q, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (3 + (8 - 4 - 10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 5*j - 6. Let i be k(4). Let h(s) = 5*s - 18 - 4*s - 1 + 6. Let q be h(i). Which is the second smallest value? (a) q (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**4\/n*n)\/n)\/n)**(-27\/4)*(n**0*n)**14 assuming n is positive.\nAnswer: sqrt(n)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*u + 4 + (8*u - 9*u - 12*u)*(3 - 3 + 1) + 6*u - 3*u - u.\nAnswer: -9*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -29*p**5\/60 + 4*p**3 - 3*p**2. Differentiate s(v) with respect to v.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 22*u**2 - 165*u - 2390. Give p(-15).\nAnswer: -1490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-13))\/((-1827)\/(-47502))*(10\/568)\/5.\nAnswer: -1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68598360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**8\/168 + 2*i**7\/105 + i**6\/6 - 2*i**5\/3 - 3*i**4\/4 + 6*i**3 + 9*i**2 + 33. Suppose t(n) = 0. What is n?\nAnswer: -3, -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2076*t - 1568*t + 3740*t.\nAnswer: 96*t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22557 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 85, 206, 409, 694, 1061, 1510?\n\"Answer: 41*z**2 - 2*z + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 7}. What is prob of picking 3 c and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13462\/(-762) + -1*8\/(-2). Which is greater: p or -33?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*g**2*s**2 - g**2*s + 2*g**2 + 8849*g*s**5 - 1902*g*s - 2 wrt s?\nAnswer: 12*g**2 + 176980*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.016871 + 0.01836. What is v rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 5.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126302.\nAnswer: 2, 11, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*t + 3 + 49, 19 = -2*p + t. Let s be (-182)\/(-8) + 6\/p. Suppose -n + 3*n = s. Calculate the remainder when 42 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 36, 0, -36, -72, -108?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/30 + (-868)\/(-210). Let f(c) = 9*c + 4. Let s(b) be the first derivative of b**2\/2 + b - 8. Give d*s(m) - f(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -102. Suppose 0 = -56*z + 60*z - 236. Is w >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - 6*sqrt(80))\/sqrt(10))**2.\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + -5 + -21)\/1. Let v = 27 + k. Let j(x) = -3*x**2 - 8*x - 7. Let t(p) = -p**2 - 4*p - 3. Let y(i) = 2*j(i) - 5*t(i). What is y(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188633 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 (base 12) in base 4?\nAnswer: 11031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y\/(y*y**(6\/7))))\/y**(4\/3))\/(y**(3\/7)\/(y\/y**9)))\/((y\/(y*y\/(y*y**(2\/3)))*y)\/y**(1\/4)*y**(-3)\/y**6) assuming y is positive.\nAnswer: y**(19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -b + 8. Suppose -b*r + 7 + 29 = 0. Suppose i = -i + r. Solve 5*o - 12 = i*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.5 - 4958350844.75?\nAnswer: -4958350753.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7491?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/21*(5 + 2). Suppose -8*y + 8 = -g*y. Solve n = -3*n + 16, -s = y*n - 14 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13127471 (base 8) to base 15.\nAnswer: 3cca46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -r**7\/252 - r**5\/20 - r**4\/3 + 6*r**2. Let m(s) be the second derivative of w(s). Differentiate m(i) with respect to i.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68708142 by 513.\nAnswer: -133934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + a. Let p(f) = -95*f**2 + 5*f - 1. Let g(s) = 4*b(s) - p(s). Let o be g(1). Suppose 0 = 5*i - 64 - o. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-3\/5)\/p)\/(p*p\/((p*p*(p*p*p**23)\/p)\/p)))**(13\/2))**32 assuming p is positive.\nAnswer: p**(22256\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 274982?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12840*j**2. Let h(i) = 2*i - 6. Determine h(g(u)).\nAnswer: 25680*u**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 2 + 0)*(-5*w - 6*w + 3*w) + 10*w + 3*w - 16*w)*(14*w + 31*w**2 - 14*w) to v + j*w**2 + c*w + q*w**3 and give q.\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 9:04 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 965\/75 + -13 + 62\/15. Solve 0 = -5*o + l + 10 + 9, -4 = -t*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 9993*b + 359777. Give x(-36).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 13. Let f be p(3). Solve 0*q + 2*q = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -14)*(24\/9 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c*c\/c**(1\/18)))**(-43) assuming c is positive.\nAnswer: c**(1505\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1100181307 to the nearest integer?\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-8)*i*i)\/i)**(-50) assuming i is positive.\nAnswer: i**250","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 3*r + 4*r - 56 = 0, 3*f - 3*r = 156. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1683 and 1419?\nAnswer: 72369","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-8))\/1*4. Solve -4*c - 20 = v, 6*v = b*v + 5*c + 25 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 4. Let v be h(-8). Let l be v\/8*(-1)\/5. Let r = -3 + 1. What is the nearest to l in 0.2, -5, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -648 - -646. Let u = -0.76 - 0.04. What is the nearest to -2\/7 in o, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -224*y**4 - 2*y**2 + 128*y - 3. Let v(b) = -222*b**4 - 3*b**2 + 129*b - 4. Let o(z) = 4*g(z) - 3*v(z). Find the third derivative of o(a) wrt a.\nAnswer: -5520*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 26. Solve -i - 1 - 3 = n, 3*x - 3*i - 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.14 + -0.36. Sort 1\/8, -5, x, -0.3.\nAnswer: -5, x, -0.3, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*-3*sqrt(432) - sqrt(432)) + sqrt(432))\/sqrt(12))\/(-3*sqrt(108)*5).\nAnswer: 2*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 84 + 4 - (-122 - (-44 + -73))?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2392 and 84526936?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(1539) + 4))**2.\nAnswer: -124400 - 5760*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.2. Let s = -65 + 66.7. Let j = s + y. Sort -3\/4, 0, j in ascending order.\nAnswer: -3\/4, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/6 + 1\/3. Put -4\/7, p, -0.06 in decreasing order.\nAnswer: -0.06, p, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 44 = 2*p - 49*o, -38*p - 19 = -36*p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4*2\/(-4) - (-3)\/(-3). Let x be 1*(15\/p)\/5. What are the prime factors of (18\/(-12))\/(x\/62)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*-7061836.\nAnswer: -134174884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -322 and -8053?\nAnswer: 7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1940, 2063, 2260, 2525, 2852, 3235?\n\"Answer: -w**3 + 43*w**2 + w + 1897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 1 - 10*y - y**3 - 15*y + 28*y. Let v be n(-2). Suppose -2*m = -4*r + 4999994, 0*m = -v*r + 2*m + 3749994. What is r rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 + 41 - (3 + 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a46d (base 16) in base 15?\nAnswer: c713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 36 + 19 - 99 + 416*q**2 - 6*q + 44. Let n(a) = -a**2. What is v(n(m))?\nAnswer: 416*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v + 14 = 0. Let d = 4\/11781 - -2138\/11781. Which is the smallest value? (a) 5 (b) v (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, e: 7, g: 3}. What is prob of picking 1 g, 2 e, and 1 h?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472 + 276 + 587 + 2*w.\nAnswer: 2*w + 1335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 2*j**2 + 18 + 10*j + j - 9. Is x(-11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onnv when four letters picked without replacement from {n: 2, o: 1, v: 1, k: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gzfg. Give prob of sequence zg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000522369 rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -51, 0.25, 1\/2, 1\/42 in decreasing order.\nAnswer: 1\/2, 0.25, 1\/42, 0, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -7*y**2 - 51*y - 5. Let w(l) = -5*l**2 - 49*l - 4. What is 4*n(v) - 5*w(v)?\nAnswer: -3*v**2 + 41*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + p - 16, 8586*z = 8579*z - 5*p + 28 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4636 + -4626. Solve 5*i = 25, 5*i = -5*m + 6*i + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-462 + 292 + 268)*(-l**2 + 6*l**2 - 2*l**2)*(-l**2 + 4*l - 4*l).\nAnswer: -294*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 575568 and 678348?\nAnswer: 18993744","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1785515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 612519\/2 - (-1638)\/252 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 rounded to the nearest ten?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -201202200211222 (base 3) to base 10\nAnswer: -10504781","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1033*x + 15751 = -8331 - 6908 for x.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 - (5 + -7)*-3 - 3. Let j(o) = -2*o**2 + 4*o**2 - 4*o + 0*o - 12. Is 10 a factor of j(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3 - 8056*l**2 - 152637*l + 530442 = 0. Calculate l.\nAnswer: -8037, -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + z**2 - z - 1. Let l(g) = -g**3 - 2*g - 14. What is 2*d(v) - l(v)?\nAnswer: -v**3 + 2*v**2 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41448120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vhyvvyy. What is prob of picking 2 v, 1 y, and 1 h?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 15, 5, 188 in descending order.\nAnswer: 188, 15, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from xdnxxxn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(-1))*q*q)**(-2\/69)*(q**(1\/4)\/q)**(3\/20) assuming q is positive.\nAnswer: q**(-781\/5520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-26)\/20 - 2 - 165\/(-110). Which is the fourth smallest value? (a) 0.2 (b) -3\/4 (c) t (d) -1 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 + 3. Let p(a) = a + 11. Let x be p(-11). What is f(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817498018?\nAnswer: 2, 7, 129821287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 672541\/43 or 15640?\nAnswer: 15640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/421? (a) 0.5 (b) -0.42 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 8) to base 14.\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 0) + 20\/4. Suppose 0 = 5*g + u*i - 20, g + i + 2*i - 4 = 0. Calculate the lowest common multiple of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85468, 341884, 769244, 1367548, 2136796, 3076988, 4188124?\nAnswer: 5470204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 135 = -p. Suppose 5*c + 0 = p. Suppose 2*l + 64 = c*l. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5.6876 and -671 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1118, -1, -5, -0.1, 1\/7, 2\/19 in descending order.\nAnswer: 1118, 1\/7, 2\/19, -0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6310 - -6374. Suppose -54 = -2*n - o - 2*o, 0 = -4*o + 8. Calculate the highest common divisor of y and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*27\/(-12))\/((-504)\/1344).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-309)\/(-206))\/(169\/(-26)).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + h = 3*h. Suppose b = o - 100, -3*b + h*b + 84 = o. Calculate the greatest common divisor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.101? (a) 1\/5 (b) 10\/13 (c) 124\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-three fifths of a litre?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 6*x - 9*x)*(-2*x - x + 4*x).\nAnswer: -29*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 85*r**6 + 9*r**5*v - 443*r**2 + v wrt r.\nAnswer: 10200*r**3 + 540*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11145085 is divided by 1081?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = 3*u, -3*j - u + 15 - 2 = 0. Suppose j*d = 8*d - 370. Suppose 67 = 3*t - d. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -6. Let n = 7 - g. Which is the biggest value? (a) n (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 c when two letters picked without replacement from {c: 5, y: 2, u: 3, o: 6, n: 2, z: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (27 + -15 - 20) - 36?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -13. Let n be (-1 - 0\/2)*u. Suppose n*d + 12 = 2*t - t, -4*t + 4*d + 48 = 0. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 3913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-2\/49)*(i**(-14)*i)\/(i*i\/i**(-9)*i) assuming i is positive.\nAnswer: i**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 + 80*k**2.\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4220*c + 3243. Let g(o) = 12646*o - 9726. Let m(z) = 17*b(z) + 6*g(z). Find the first derivative of m(u) wrt u.\nAnswer: 4136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 166 = -3*n, -4*n = -5*x + 72 + 96. Let s be 4 - (x\/12)\/1. What is the nearest to -2 in 5, -0.1, s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o - 15 + 5*o - 1 - 3*o. Let l be r(-7). Let v be 4\/l*1\/(-2) + 7. Solve 0 = -2*j + 4*m + v, -5*j - 1 = -m + 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m**2 - 7*m**2 + 3*m - 3*m.\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 31*d**2 + 18*d - 17. Give t(16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17982 and 465534?\nAnswer: 1998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - (-4672)\/120 - (-718)\/(-30)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-29)\/6 + (-16)\/24. Let g = -5 - i. Factor -2*u**4 - 2*u**2 - 1\/2*u**5 - 3*u**3 + 0 - g*u.\nAnswer: -u*(u + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 17239, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -204771*p**2 + 97510*p + 97510. Let l(c) = 4*c**2 - 2*c - 2. Calculate 48755*l(o) + r(o).\nAnswer: -9751*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 22 = -69*j + 66*j, 4*j = -5*y - 29 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 13*o**2 - 10*o + 7. Calculate b(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7355 is divided by 817.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 - -3.5. Let h = 2.8 - p. Let u be ((-8)\/4 - 3) + 315\/65. What is the nearest to -0.2 in -1, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 131737 + 110110. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 59 = -131 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 + 14.4. Let k = -0.2 + 0.2. Which is the nearest to k? (a) -3 (b) -0.1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 113*o**2 + 4*o + 13. Let z(m) = -58*m**2 - 2*m - 7. Let f(g) = 6*v(g) + 11*z(g). What is the first derivative of f(j) wrt j?\nAnswer: 80*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34883552 divided by 44.\nAnswer: -792808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h - h + 2*h)*(4*h + 3*h - 5*h) - 10*h**2 + 8*h - 8*h)*(-3 - 4 + 3).\nAnswer: 56*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 11905 (b) 3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-6) + -4 + (-93)\/(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**2. Let y(a) be the first derivative of -3*a**2 + 0*a - 7\/24*a**4 + 14 + 0*a**3. Let p(z) be the second derivative of y(z). Calculate p(q(l)).\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(2 - 0) - -6. Let r(o) = 49 + 7*o - 21 - 22 + o**2. Is r(t) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17.959 + -0.041. Let h = l + 18.1. Let f = 0.45 - 0.05. Which is the biggest value? (a) 1 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6fc + -328a?\nAnswer: -3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*p - 4*p - 2*p)*(15*p**3 - 2*p**3 - 2*p**3) to v*p**2 + s*p + y + g*p**4 + l*p**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 660 = -25*g. What is the lowest common multiple of 15 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077 minus 38234800?\nAnswer: -38234800.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of 0 + 0*s**4 + 0*s**5 + 0*s**3 - 3*s + 3*s**2 + 1\/15*s**6. Find the first derivative of b(x) wrt x.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35.4277 * 2.34\nAnswer: 82.900818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018.271 rounded to the nearest 10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 157.5 and 48?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(33 + 36*p + 37 - 71).\nAnswer: 72*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16.1 * 867\nAnswer: 13958.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 2*u - 20, -4*u = -m - 9*u + 27. Let -3*o**m + 21\/5*o**3 + 0 - 6\/5*o = 0. What is o?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1309\/12 + 435\/4. Sort 1, o, -0.4, 3\/8 in ascending order.\nAnswer: -0.4, o, 3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/1164401 or -1?\nAnswer: -6\/1164401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (83*u - 89*u - 51*u)*(-2*u - 6 + 0 + 2) in the form j*u + i*u**2 + p and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 45*q + 32 - 62 + 32 as o + l*q and give l.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-25)\/(f*f\/(f**(-3\/16)*f)*f*f) assuming f is positive.\nAnswer: f**(-451\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 6:51 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 5328*i + 2160*i + 3535*i - 1858*i as g*i + a and give g.\nAnswer: 9165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2903532 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 20184*n + 20184*n - 3*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*i**2 + 2*i**4 - 4*i**2 - 2*i**2 - 107*i + 1 - i**3 + 6*i**2 + 3*i**2 to the form f*i**4 + r*i**3 + a*i + w*i**2 + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 100883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-18))\/(30\/(-18)).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k**3 - 5168*k**2 - 373*k - 34912860 wrt k?\nAnswer: 3*k**2 - 10336*k - 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14.7 and -1824383?\nAnswer: 26818430.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8111, 16204, 24283, 32348, 40399?\nAnswer: 48436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n - 19*n + 42*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 4*k + 5. What is c(7)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 + 3*a**2 - 3*a**2)*(-80*a + 62*a - 31*a)*(4*a - 4*a - 2*a)*(-88 + 2 - 4) in the form o*a**2 + c + z*a**3 + v*a + f*a**4 and give f.\nAnswer: -17640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2\/125 of a milligram?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1423 divide 9188224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17472*m + 17472*m + 182*m**4 + (-4*m - 2*m**3 + 4*m)*(m + m - 3*m) + m**4 + 2*m**4 - 2*m**4 + 0*m**2 - 2*m**4 + 0*m**2.\nAnswer: 183*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/2*(-104)\/(-12). Let f = -11 - q. Solve f*o - 4 = 2*k, 3*o - 4*k = 2*o + 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 - 21. Put 2\/3, -1, y in descending order.\nAnswer: 2\/3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 + 2*j - 1. Let x be -2*2\/(-4) - 4. Let m be t(x). Solve g - m*g + 1 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, h: 2, b: 1, r: 10}. What is prob of picking 1 r and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3173 = -376*l - 2091 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965b8c (base 15) in base 6?\nAnswer: 1501315240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16522 + 19*m**2 - 16522. Let a(c) = -9*c. What is a(s(k))?\nAnswer: -171*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -418 divided by -1519?\nAnswer: 418\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(2\/15))**(12\/11)*((v\/v**(-14))\/v)\/v**(-33) assuming v is positive.\nAnswer: v**(2653\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n + 23. Let r(c) = -5*c - 13. Let x(t) = 11*r(t) + 6*y(t). Suppose 0 = 10*z - 11*z. Give x(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7276*l**2 - 12*l - 37. Let i(k) = -14551*k**2 - 26*k - 81. Determine -11*b(r) + 5*i(r).\nAnswer: 7281*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/5 + 424*f\/5 + 856\/5 = 0.\nAnswer: -2, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -177933 (base 10) to base 14.\nAnswer: -48bb7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*v - 67*v - v**4 - 2 - 6*v**2 + 2*v**3 to h*v**4 + n*v**3 + t*v + b*v**2 + d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.19528 microseconds to nanoseconds.\nAnswer: 92195.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 28*z - 5. Let u be c(4). Suppose 0 = -3*b - w + 94, 0*b - u = -4*b - 5*w. What is the remainder when b is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/27, -0.4, -2\/3, -1\/6, -2\/69?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 707*f**2 + 782*f**3 - 707*f**2 + f - 4*f.\nAnswer: 782*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 73520 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 24*r + 3. Let x be m(-12). Suppose 0 = x*k - 1 + 1. Suppose 8*g - 11246 + 3382 = k. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f + 21*f + 84 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 61 - 31. Let l = y + 23. Suppose 60 = -l*a + 6*a. What is the highest common factor of 90 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 1. Let i be (-4)\/6*3 + 1. Let x be b(i). Suppose -5*s - u + 6 = 0, x = 2*s - 5*u + u - 20. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 16*o**3 + o. Let r be -1 + (1 + 0 - (-10 + 11)). Give q(r).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.43528 + -5.4334. Let w = 11 - n. Round w to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/((-2)\/((-36)\/39)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5762450920?\nAnswer: 2, 5, 144061273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 179 = 145. Suppose -51*w = -54*w + b. Solve -j - 4*k - 25 = -w, -3*j - k - 13 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**3 - 5*k**2 + 4*k - 2. Let m(y) = y**2 - y + 1. Let z = 13 - 21. Let x = -4 - z. What is x*m(h) + u(h)?\nAnswer: -2*h**3 - h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2769*n**2 - 18*n - 97. Is v(4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -137.4 + 140.4. Which is the closest to 1.2? (a) 0.2 (b) 0.6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 250 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g - 92*g + 21*g + 255 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 15 - 22 + 14*b in the form n*b + h and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 PM and 1:21 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -11, -4539\/11, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79217, 79369, 79613, 79943, 80353, 80837?\nAnswer: 81389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -203*u = -207*u - 24 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j - 9 - 3*j**2 + 4*j**2 + 0*j - 14. Let m(l) = -l**2 - 3*l + 22. Let v(h) = 5*m(h) + 6*w(h). Calculate the remainder when v(-14) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267790, -535567, -803344, -1071121?\nAnswer: -1338898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/41)*r*r*r*r**(-4))\/(r*r**5\/r*r**(-4\/13)\/r) assuming r is positive.\nAnswer: r**(-2475\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(0 - 3\/(-3)). Let k be 1*3 - 15\/j. Let p = 32 - k. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*m**3\/4 - 1715*m**2\/4 + 8029*m\/2 - 6340 = 0. Calculate m.\nAnswer: 2, 8, 1585\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*-27*(-13448)\/6642.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2875, -2495, -2115?\n\"Answer: 380*r - 3255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -22008730\nAnswer: 1\/4401746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/2 - 19921*i**2\/2 + 49610760*i - 49600800 = 0.\nAnswer: 1, 9960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 + -132.9999915. Round x to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3892, -492, -4878, -9266, -13656, -18048, -22442?\nAnswer: -26838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2, -3, -0.5 in decreasing order.\nAnswer: 2, 0.5, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 237878715 to the nearest integer?\nAnswer: 15423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 5*l**2 + 9*l + 1. Is a(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 306*m**2 - 39*m - 9. Let h(a) = 77*a**2 - 10*a - 2. Let d(r) = -9*h(r) + 2*k(r). Find the second derivative of d(q) wrt q.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Sort -17, q, 5.\nAnswer: -17, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14969, -60263, -135887, -241841, -378125, -544739, -741683?\n\"Answer: -15165*d**2 + 201*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4178.929 millimeters in meters?\nAnswer: 4.178929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -475 + 476 + 3*h**3 + 7*h**3 + 11*h**3.\nAnswer: 21*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12054 + 69649. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -3 + 7 + -33 + 51\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kyykkkk?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times 0.29\nAnswer: -0.0232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29210 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4917\/1424 - -32\/89. Let i(p) = 3*p**2 + 3*p. Let j be i(-2). Find the common denominator of 1\/j*1746\/(-48) and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/4 - (-2)\/4. Let a(m) = -3*m**2 + 2*m + 5. Let b(s) = -7*s**2 + 4*s + 11. Let v(u) = -5*a(u) + 2*b(u). Is v(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -156*x + 69*x + 48*x + 321*x**3 wrt x?\nAnswer: 1926*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wrg when three letters picked without replacement from {w: 1, i: 2, r: 2, g: 1, x: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -6\/1281889 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 3:19 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7002.6156 + 7004. Let v = -0.0756 - s. Round v to 1 dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l**5 - 88*l**3 - 115*l**2 wrt l.\nAnswer: -360*l**2 - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580822 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 + 3*l + 2. Let j be d(-4). Suppose 0 = -v + 10 - 12. Let c = v + j. 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: Suppose 0 = -2*r + 363*b - 358*b + 309, 14 = -2*b. Calculate the remainder when 4930 is divided by r.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 13*d - 20. Let y be b(16). Let v = y + -796. Let u be ((-2)\/4)\/(9\/v). What is the greatest common divisor of 32 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 6 = 2*f. Let l be (12\/f)\/(2\/(-15)). Suppose l = -4*r + 54. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/28700 and -56\/1845?\nAnswer: 258300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691237799.\nAnswer: 181, 20393579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3*y + 3 = -9, b - 4*y - 7 = 0. What is the derivative of 3*x**2 + b + 5*x**2 - 4*x**2 wrt x?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/6 of a minute?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 3*t**2 + 5*t + 1. Let p(w) = -2*w**3 - 4*w**2 + 6*w + 1. Determine 5*p(j) - 6*u(j).\nAnswer: -4*j**3 - 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**5 + 107*w**4 - 2409*w**3 + 7109*w**2 - 6162*w + 1352 = 0. Calculate w.\nAnswer: -52, 1\/3, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seven halves of a millennium?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 6*s. Suppose 135*k + 2 = 109 + 28. Put 27, k, s in ascending order.\nAnswer: s, k, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(7)*1 + 0 - (sqrt(700) + 0)))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 111320?\nAnswer: -111313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -39\/2 or -600822?\nAnswer: -39\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (509\/15)\/(10\/25). Let z = m + -84. Factor 1\/3 + z*s + 1\/6*s**3 + 2\/3*s**2.\nAnswer: (s + 1)**2*(s + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -16*q**2 - 7*q + 895. Let x(k) = 7*k**2 + 3*k - 448. What is -3*u(d) - 7*x(d)?\nAnswer: -d**2 + 451","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 5.9. Let j = -0.05 - 2.95. Let v = j + p. Is 0 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 5:39 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 530604.2m?\nAnswer: 53060420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**7\/1260 + 2*h**4\/3 + 3*h**2\/2 - 93*h. Let l(w) be the third derivative of y(w). Let u(n) = -38*n + 1. What is l(u(a))?\nAnswer: -2888*a**2 + 152*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l*m*y - 9*l*m - 36*l*y + 2*l + m*y - 15*m + 2 wrt y?\nAnswer: -3*l*m - 36*l + m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f + 61. Let c be s(-7). Solve 0 = -5*h - 3*t + 18, -4 = -h - c*t + 4*t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*b**5 - 5*b**5 - 7*b + 8*b + 3*b**5 wrt b?\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 + 627350*y + 19678401125 = 0. What is y?\nAnswer: -62735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110221 - -10110022200?\nAnswer: 10102211202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-478)\/(-10) - (-1)\/5. Let u = n - 63. Let y be (40\/u)\/((-3 - -6)\/18000). Round y to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.8765 millimeters in nanometers?\nAnswer: 746876500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 118957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-8))\/((-5)\/((-160)\/16))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 816 - 790. What is the greatest common divisor of a and 247?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 30*i**2 + 48*i - 7. Let p be r(5). Is p - (-12 - 18\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6 - (-285)\/(-10))*10\/3. Let r = 118 + m. Suppose 5*i - 460 = -5*d, -r*d = -i - 3*i + 354. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31288822.\nAnswer: 2, 41, 73, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*a**2 - 8050*a**3 + 16*a**2 - 22*a**2 + 8052*a**3.\nAnswer: 2*a**3 + 33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22932 = -10133*c + 9665*c for c.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 16 = -1. Suppose -3*m + 440 = m. Suppose 7*y + c = 2*y + 110, -5*y = v*c - m. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3835191735.\nAnswer: 3, 5, 71, 1200373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30591891 by -927027.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3978215 is divided by 40594.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4\/9 - 8*l**3\/9 + 44*l**2\/9 + 16*l\/3 - 16 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 2 + 8 + -1 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*p + 54*p - 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3607.919 rounded to the nearest one hundred?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 6*n - 1. Let t(v) = 12*v - 2. Let z(q) = 4*t(q) - 10*w(q). Let u be z(-2). Suppose 48 = 2*l - i, 3*l - 43 - u = 3*i. Solve 6*o - o - l = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 - 153*h**2\/5 - 564*h - 2380.\nAnswer: (h - 170)*(h + 7)*(h + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -141898 (b) 2\/3 (c) -268\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144899 is divided by 304?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r - 7*r = 11*r - 34 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 245\/2 - 489\/4. Let s be 3 - (2 + 7\/9). Which is the third smallest value? (a) r (b) s (c) -0.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-9 - (-6 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*((h\/(h**(2\/9)\/h))\/h*h)\/h*h*h*h)\/h**39)\/(h**(41\/2))**(-4\/31) assuming h is positive.\nAnswer: h**(-8252\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 201*r + 174*r - 647 = 853. Let p = -6 + 0. Let v = -3 - p. Solve -5*l + 2*l + r*i + 1 = 0, 3*i = v*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 3*b + 1788. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41432 times -119\nAnswer: 4930408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17286 and 5391.\nAnswer: 31062942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000098464 to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-1\/6))\/j)\/(j**(-2\/9)*j*j)*j**(2\/7)\/(j**(1\/11)*j*j) assuming j is positive.\nAnswer: j**(-3811\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - f - 2. Let u be x(-2). Let v(b) = -3*b + 57. Let s be v(u). Which is bigger: s or -41\/3?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 0.319\nAnswer: -0.0638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by -6\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 31612848*p**2. Let j(l) = -2*l. What is g(j(c))?\nAnswer: 126451392*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 118277280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2905 and 80669.\nAnswer: 234343445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34131?\nAnswer: 3, 31, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.32 + 0.32. Let k = n + 38.5. Let v = k - 4.3. Which is the closest to -1\/4? (a) v (b) 0.4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26 and 14628952?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.39509 rounded to 1 dp?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4 - 100*i**3 + 264*i**2 + 836*i + 470.\nAnswer: 2*(i - 47)*(i - 5)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1520 and 720?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.713 take away -0.1?\nAnswer: -1.613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 19 = -2*p - 5, -5*p = -4*z + 10. Let s(m) = -m + 2*m + m + z + 3*m. Is s(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 5)*(r + 3*r - 2*r) - 2*r + 2*r + r - 3*r + 0 + 0)*(2*r**3 + 2*r - 48 + 48) + (-4*r**2 + 3*r**2 + 2*r**2)*(-2*r**2 - r**2 + r**2).\nAnswer: -10*r**4 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24313*x + 22931 wrt x?\nAnswer: -24313","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1506, 1506, 1484, 1428, 1326, 1166, 936?\nAnswer: 624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 231262140.\nAnswer: 2, 3, 5, 41, 94009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 10*w**2 - 18*w - 14. Let d be x(-8). Solve -d*f = -5 - 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/18)\/(1\/3). Let n be 2\/(-4)*4\/(-8). Is k at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25069 - 674*d + 750*d - 25072.\nAnswer: 76*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -s + 4. Suppose 4*f - s = -5. Find the third derivative of f*i**5 - 7*i**5 + 2 - 2*i**2 - 2 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 - 189*a - 7462. What is b(-50)?\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -3 + (-34 - -34) - 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 78?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 66*n + 1475. Let i be o(-24). Suppose -2*w = -h + 429 + 130, -1408 = 5*w + h. Let y = i - w. Calculate the remainder when y is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8473 - 5?\nAnswer: 8469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.2 + 5.8. Let r = -28.2 + a. Let i = r + 0.2. Sort 3, 0.05, i in descending order.\nAnswer: i, 3, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 2, -67652, -3, -0.4, -0.06?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4 - 19. What is w in -5*w**3 + 4*w**2 + b*w**3 + w**4 - 3*w**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -27. Suppose 13*g = 7*g + 54. Put 1, -3, g, r in increasing order.\nAnswer: -3, r, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15*x. Let c(j) = 10 - 10 - 10*j + j. Calculate c(p(f)).\nAnswer: 135*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 9 in decreasing order.\nAnswer: 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24140 rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -109 - -108.9. Let q be (2\/(-16))\/((-2)\/4). Is q less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 371*f**2 - 20*f - 54. Let w(x) = 185*x**2 - 9*x - 23. Give -3*q(m) + 7*w(m).\nAnswer: 182*m**2 - 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25329834 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*d - 1832 = -388. Solve d*q - 4*o = 39*q + 19, 0 = -5*o - 25 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4.8. Let k = 0 + t. Which is the second biggest value? (a) k (b) 3\/14 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, p: 2, c: 1, v: 1, i: 2, k: 1}. Give prob of sequence pf.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**5\/20 + g**4\/16 + g**3\/12 - g**2\/8 + 9. What is y in l(y) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27 or -39\/7?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y - 6. Let o(a) = -a**3 - 5*a**2 + 22*a + 102. Let f be o(-6). Let t(g) = 21*g + 119. Calculate f*t(d) + 119*m(d).\nAnswer: 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9994 is divided by 119.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*a**4 - 123530130*a**3 + 15699300103191*a**2 - 6977448411780*a + 775271367948.\nAnswer: 3*(a - 254177)**2*(9*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*r - 12. Is 0 - (r + (-57)\/3) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -1.362, 0.2, 5, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) - (-3*(-2*sqrt(66) + sqrt(66)) - sqrt(66)) - (sqrt(66) + -2*sqrt(66)*-2))\/(sqrt(192)\/(sqrt(1152)*3 + sqrt(8))).\nAnswer: -111*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) -1\/38 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180304, -361156, -542554, -724498, -906988, -1090024?\nAnswer: -1273606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -24 + 6 - 3 + 150*v**3 + 17*v - 11 - 152*v**3 - 18*v**2. What is d(-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 14*b - 11. Let m be a(11). Suppose -l = 2*g - m, 8*l = -4*g + 4*l + 52. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 13\/4, 0, 26.8 in decreasing order.\nAnswer: 26.8, 13\/4, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168.49 - 170. Let m = l - -1.5. Let h = m - 1.99. What is the closest to h in -0.2, 2\/5, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*l + 9*l = 433*l + 3481 + 34919 for l.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -379 - -268. Let w be (a\/2)\/((-2)\/40). Suppose w = -12*g + 15*g. What is g rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 - -1.9. Let s = p - 0.2. What is the nearest to 2 in s, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11101100101110011 (base 2) to base 4.\nAnswer: 131211303","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.01 and 135.967.\nAnswer: 137.32667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1182\/11 (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000562707 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1439 - -2198. Calculate the highest common factor of d and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -104, -1049, 17, 0.011 in decreasing order.\nAnswer: 17, 0.011, -104, -1049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -120*u**2 - 264*u**2 + 512 - 738*u**3 + 4*u**4 - 16*u + 622*u**3.\nAnswer: 4*(u - 32)*(u - 1)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105 - h**2 + 105 + h**3 to r + t*h + o*h**2 + a*h**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.701 + 0.25856536392.\nAnswer: 0.95956536392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)\/(sqrt(10)\/sqrt(2)*-1) + 2)**2.\nAnswer: -4*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 183725560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0)\/(3\/(-9)). Suppose n*g = -g. Are -1\/25 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, l: 2, w: 1, k: 1}. Give prob of picking 2 l, 1 z, and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**3\/3 - 8*l. Let s be (2\/4)\/((-20)\/(-1440)). Let f(a) = -58*a + 81*a - s*a. What is f(q(p))?\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 6 - 2)*((4 - 2 - 3)*(-1 + 0 + 0) + 1 - 1 + 2 - 2 - 2 - 1)*(0 + y**4 + 0) to the form m + h*y + b*y**4 + k*y**3 + n*y**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 2, n: 2}. What is prob of sequence mm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -263.25 - -265. Let h = q + -2.25. Sort -2\/29, h, 0.3.\nAnswer: h, -2\/29, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.0008 and 4725.7?\nAnswer: 4729.48056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 4*o**2 + o - 7. Let y be ((-2)\/3*9)\/1. Let d be b(y). Suppose 5*s - 64 = d. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + (-6*2*sqrt(91)*-3)\/((sqrt(392)\/sqrt(200))\/sqrt(7)).\nAnswer: -6 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {s: 4, u: 2, o: 5, b: 7, m: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6730 by -1.\nAnswer: 6730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50776.57 litres to millilitres.\nAnswer: 50776570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 1258557.\nAnswer: 1258557.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-39)\/(-156))\/(2\/(-8)))\/(16\/(-560))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*j - 468 - 5*j + 172 + 162 + 131.\nAnswer: 8*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + -3988a654?\nAnswer: -3988a63a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + 2*i - 8 = 2*b, 5*i = 3*b + 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -25*b + 27*b + 4*s, 45 = -4*b + 5*s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -26. Which is the closest to -0.1? (a) -0.3 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39474553526+0.07\nAnswer: 39474553526.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 31. Let s(t) = 171*t**2. Determine m(s(c)).\nAnswer: 342*c**2 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -13297*h**3 - 4*h**2 - 5 - 3*h**4 + 0*h**4 + 13299*h**3 + 0*h**4 as t*h**4 + i*h**2 + y + j*h + l*h**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7167 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-760)\/(-15) - (-4)\/(-6). Suppose -2*r - 3*r = o. Suppose 0*d - d = 7. Which is bigger: d or r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169365\/853 less than or equal to 200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 0. Let d = 9471\/61477 + -1\/4729. Solve n*i + 2\/13 - d*i**2 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8470 - 8475. Put o, 17, -4, 5, 2 in descending order.\nAnswer: 17, 5, 2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)*j)\/j*j)**(-25)*j**(-2)\/(((j*j\/j**16*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 490 + 190 = 0. What is the highest common divisor of 34 and j?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 1014?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 18*n**2 - 8*n + 6. Let w be l(-18). What is the second derivative of -297 + 24*k**2 + 245*k + w + 147 wrt k?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 28*m + 27. Let y be i(-29). Let g be 7\/y*(-1980)\/22. What is the greatest common factor of 35 and g?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -1\/120*l**6 + 1\/6*l**3 + 1\/4*l**4 - 2*l**2 + 1\/12*l**5 + 0*l + 0. Let t be 2\/2*10 + -4. Give d(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -23) + 82 + -115 + 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405482?\nAnswer: 2, 7, 11, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 32*b - 1. Suppose -2*w + 0*w + 2 = 0. Calculate the remainder when i(w) is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117 - 120 + 1287 + 373 + 553)*(0 + 4 - d - 2) in the form r + f*d and give r.\nAnswer: 3952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13)*-4 + 1)**2.\nAnswer: -8*sqrt(13) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*-1*((20\/55)\/(-1))\/(3178\/(-2497)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -110056771 + -1?\nAnswer: -110056772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 278*c - 1578 - 90 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2267*u - 3738. List the prime factors of q(-4).\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 50077*u - 450596. Determine c(9).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2211, -8915, -20087, -35721, -55811, -80351, -109335?\nAnswer: -142757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, r: 1, u: 7, e: 1}. Give prob of sequence xxer.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.1883 + -2.0883. Which is the second biggest value? (a) 54 (b) 21 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**4*v + 8*k**3*v**3 + k**3*v**2 - k**3 + 2*k**2*v**3 - 12630*k**2 wrt k?\nAnswer: 48*k*v + 48*v**3 + 6*v**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3)\/i*i*i\/(i\/(i\/i**(1\/8)))*i*i**7*i**(-1\/10) assuming i is positive.\nAnswer: i**(231\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6 - -3656762?\nAnswer: 3656754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 2*w = -2*h + 6426, -5*w = 5. Let o = 52185 + h. What is o rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 6*r**2 - 6*r. Let k be (1 - -2) + -1 + 5. What is the units digit of x(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x - 2. Let y(d) = -17*d + 4. Determine -13*l(m) - 6*y(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -390 - 16. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140*h**4 - h**3 - 421*h**2 - 2*h - 7307 wrt h.\nAnswer: 1680*h**2 - 6*h - 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 2*n = 17, -3*n - 15 = -5*r + 98. Suppose -8*a = r*a - 260040. What is a rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y = -1217 + 1241 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -324290123*n - 141435567 wrt n?\nAnswer: -324290123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/19, 1, -9.\nAnswer: -9, -1\/19, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36856631 plus 15.088?\nAnswer: 15.45656631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n**2 + 10*n - 1. Let u(k) be the first derivative of -k**3 + 5*k**2 - k - 8359. Calculate 7*t(i) - 6*u(i).\nAnswer: -3*i**2 + 10*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 93751 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: Which is the closest to 3? (a) -0.2 (b) -4 (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.47076 millilitres in litres?\nAnswer: 0.02847076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -167 + 166. Let y(t) be the first derivative of -6*t + 1\/2*t**2 + 1 + 4\/3*t**3. Let l(u) = -u**2 + 1. What is a*y(g) - 6*l(g)?\nAnswer: 2*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Is 1379832948 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -46. Suppose 174 = b + 5*g, 0*b + 2*b = k*g + 400. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a meter in millimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 118489576*t**3 - 265316050*t wrt t.\nAnswer: 710937456*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1463065, 1463067, 1463069, 1463071, 1463073?\n\"Answer: 2*d + 1463063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188410?\nAnswer: 2, 5, 83, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, 7, 38589.\nAnswer: -7, -1, 7, 38589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -123840 divided by -45\nAnswer: 2752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**3 - 284*x**2 - 1939*x - 78. What is y(-135)?\nAnswer: 6537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -122 + 66. Let o = q - -116. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 430*i**3 + 622*i**3 - 6 + 5*i**2 + 779*i**3.\nAnswer: 971*i**3 + 5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 10:36 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*q**4 + 19*q**4 - 2 - 12*q**4 + 17*q**2 - 7*q**2 + 1 - q**3 to p*q**4 + g*q + z + v*q**2 + a*q**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + sqrt(171) + -4)**2.\nAnswer: -12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 761\/9 + -84. What is the common denominator of -12\/11 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - -151. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -810 divided by -3\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 949193604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3\/13 + 27102*b**2\/13 + 91801248*b\/13 - 91828352\/13 = 0. What is b?\nAnswer: -6776, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 12*q**2 + 2*q - 14. Suppose 7*s - 12 = 4*s, 0 = -4*a + 3*s + 36. What are the prime factors of y(a)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 67 = 5*u - 6*u, -3*u - 3 = 0. Let x(q) = 2*q**2 - 5*q - 6. Let k be x(-4). Let n = l + k. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 164*l + 77. Let f(k) = 6*k. Determine x(f(v)).\nAnswer: 984*v + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (606*d - 120*d + 76*d + d - 2*d - 5 + 0 - d - 2*d + 4*d + (-2*d - 2*d + 5*d)*(3 + 1 - 3))*(0 + 1 - 2) in the form z + m*d and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0 + 0*r - r**2 - 43\/210*r**7 + 0*r**5 + 0*r**4 + 0*r**6 + 32\/3*r**3. Differentiate q(i) wrt i.\nAnswer: -172*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -83 + 142. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 414 = 53*t - 5*t. Solve 2*v + t = 3*b, -3*b + 2*v + 1 = -8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1999498488?\nAnswer: 2, 3, 13, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -29, 29, -0.506, -0.1?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-139)\/278 + 23\/10)\/(4\/60)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {n: 3, b: 1, d: 6, v: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 151?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l + 3 = -3*l - 5*k, 3*l - 11 = -5*k. Solve l*h = -h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 + 105 + 4*p)*(0*p**3 - 5*p**3 + 3*p**3).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1. Let j(v) = -v**2 - 13*v - 16. Let o(n) = -j(n) - z(n). Let s be o(-8). Let b = 30 + s. What is the remainder when 10 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + y - 1)*(-3 + 4 + 1)*(4328*y - 9919 + 9919) to w*y + m*y**2 + n and give m.\nAnswer: 8656","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/3 + 1470400*b\/3 - 1470394.\nAnswer: -2*(b - 735197)*(b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25991 and 14147?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 5:39 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 310b (base 12) to base 4\nAnswer: 1103123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 181000 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 23 = s - 3*q, -s + q + 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -149 divided by -9912\nAnswer: 149\/9912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*z + 18*z - 11*z to g + u*z and give u.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 2944*b**2 - 32502*b + 27. Calculate w(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 3535?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of -3\/2*q**2 + 0 + 7\/6*q**3 + 7*q. What is the derivative of f(h) wrt h?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**2 + 4*f - 2. Let t(g) = -40*g - 1 - 30*g - 2*g**2 - 36*g - 44*g + 188*g - 35*g. Let d = 11 - 15. Calculate d*t(l) + 3*a(l).\nAnswer: 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -124872.61936 less than 0.40947?\nAnswer: 124873.02883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 11546 (base 7) to base 13\nAnswer: 14b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 478984 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.104 - -2.896. Let k = 0.4 - 0. Sort -0.3, k, o in decreasing order.\nAnswer: o, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h*i*q**2*u**3 - h*i*q**2*u**2 - 35*h*i*q*u**3 + 2*h*q**2 + h*u**3 + 48*i*q**2*u**2 + 3*u wrt u.\nAnswer: -12*h*i*q**2 - 210*h*i*q + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 298\/5 + -60. Let y = 15674.1 + -15674. Which is the nearest to m? (a) y (b) 6 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (183\/(-3294))\/(10\/12)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9741895 is divided by 64.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + n = 9*l - 74, -3*l - 80 = 4*n. Let p be 3 + l\/9 + (-15)\/(-9). Which is the third biggest value? (a) -1 (b) 5 (c) p (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, f: 1}. Give prob of sequence xxxf.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/3, 9, -1\/11, 14, 4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.085 to two dps.\nAnswer: 1.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-12))**(-3\/14)\/(m**(-3\/7))**(-1\/4) assuming m is positive.\nAnswer: m**(-81\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 - 5*q**2 + 7*q. Let c(s) = -s**3 - 3*s**2 + 5*s. What is -7*c(m) + 5*w(m)?\nAnswer: -3*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1. Let c = 18\/11 - 17\/44. Let o = -58\/9 + 388\/63. What is the closest to l in c, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/15 + 34252*p\/15 + 871568\/5.\nAnswer: -2*(p - 17202)*(p + 76)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 11108.15 rounded to the nearest 100?\nAnswer: 11100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = i - 1600, 4*t - 3*i = -2*i + 2138. Let k = t + -367. Calculate the remainder when k is divided by (1 + 0)\/(-1) + 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11265812 divided by -4.\nAnswer: 2816453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - t**2 - t**2 + 5 to n + i*t**2 + b*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 414081556 divided by -103520389\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1124?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (270\/(-117))\/((-5901)\/7306)\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(3\/5)*k*k*k\/(k\/(k*k**(2\/5)))*k**(-4)\/(k**5\/k) assuming k is positive.\nAnswer: k**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5228 or -2?\nAnswer: 1\/5228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2589 is divided by 183?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {j: 4, b: 5, d: 10}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -46262, -183976, -413492, -734810, -1147930, -1652852?\n\"Answer: -45901*l**2 - 11*l - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -3017, 4, -1, -9 in decreasing order.\nAnswer: 4, 3, -1, -4, -9, -3017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivxgifiviixxv. Give prob of sequence fv.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*i - 2*i - 13, 5*v = -2*i + 20. Suppose -h + 4 = v. Suppose 3*c - c = 6, -h*d - 6 = -4*c. Solve 10 = g - d*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - d = 40. Let f be 2 + -3 - (-5)\/d. Which is the nearest to -1? (a) 0 (b) f (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = -2*x, 10*y - 5*y + 16 = -2*x. Suppose -x*f - 3 + 2 = -b, -3*b = 3*f - 21. Solve 4*u + s - 13 = 0, 0 = f*s - s + 3 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6231 - 20*t + 4*t + t.\nAnswer: -15*t - 6231","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2338, 4692, 7042, 9388, 11730?\n\"Answer: -2*z**2 + 2360*z - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2686, 5380, 8082, 10792?\n\"Answer: 4*y**2 + 2682*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106.5 - 3.5. Let x = l - 100. Suppose 0 = -5*q + 4*q + s + 1, 9 = -5*q - 2*s. What is the second smallest value in q, -0.1, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10838092 divided by -716?\nAnswer: -15137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-19))**27 assuming j is positive.\nAnswer: j**594","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -14\/9, -1 in ascending order.\nAnswer: -10, -14\/9, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**2 + 554*m - 3035. Determine s(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -60.94 - -61. What is the closest to -3 in 1, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**4 - 3743344*a**3 + 22460172*a**2 - 33690312*a = 0.\nAnswer: -935842, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -51*s - 9. Let o be z(-4). Let y be ((-34398)\/o)\/((-7)\/(-10) - 1). Let i = y + -323. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/7*a + 8\/7*a**3 + 9\/7 + 1\/7*a**4 + 22\/7*a**2 = 0. Calculate a.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) - (sqrt(65) + (2*sqrt(65)*-6 - sqrt(65))) - sqrt(65)) + sqrt(65))\/sqrt(5))**2 + -5 + -4 + -1.\nAnswer: 2187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 387 and 2769915?\nAnswer: 357319035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k + b - 11 = -4*k, 2*k + 13*b + 58 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7984)\/(-26) + (27 - 36)\/117. Solve -43*m + 49 = u for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 - 6*d + 247535*d**2 + 2*d - 247590*d**2 + 4*d.\nAnswer: 9*d**3 - 55*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4489 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-10) - 10\/25. Let m = -781 - -789. Calculate the greatest common divisor of m and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1 + -1 - -5) + 19 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*a + 15. Let u be 0\/((a - 16)\/(-1*1)). Suppose -3*v + 0*v + 603 = -5*c, 5*v - 4*c - 1005 = u. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26088156 to the power of 1\/2, to the nearest integer?\nAnswer: 5108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7918.08 - -7928.8799856. Let h = 3.8 + 7. Let a = h - f. What is a rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w - 5. Let i be d(2). Solve c - 2 = 3*c + 4*a, 0 = -i*c + 3*a - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -219*v + 105*v - 29*v**2 + 96*v - 2*v**4 as o*v + f + q*v**4 + s*v**2 + n*v**3 and give o.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) -3 (c) -750 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*d - 3*d - 2*d - 7 + (5 + 7 + 0)*(2*d - 4*d + 4*d) as r*d + i and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4\/3 (b) 37.7782 (c) -4\/5 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 6*q**2 + 5*q + 7. Let h be (2\/(-3))\/(-10*8\/(-840)). Determine y(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 3*y + 750. Let g be p(26). Let s = 2 - 2. What is the closest to -1 in -2\/17, s, g?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:20 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4356*y**5 - 18281560*y**4 + 20089044248*y**3 - 1904684527408*y**2 + 47075932312932*y + 10555597287432 = 0 for y.\nAnswer: -2\/9, 51, 22523\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 5*i + 6, -48*i + 125*i + 6*s = 3*s + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, b: 2, i: 2, u: 7}. What is prob of sequence uhbu?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 578 + -473. Is v a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.8 - 29. Let o = 216.6 - 216. Let m = 0.9 + -1. Which is the nearest to m? (a) o (b) w (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -12, -125, -3 in increasing order.\nAnswer: -125, -12, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 400?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 + 5*r + 2. Let g = 1327 + -1333. Let a(j) = 5*j**2 + 6*j + 3. Give g*y(w) + 5*a(w).\nAnswer: w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9019097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((1*sqrt(2057))**2 + sqrt(272)*6 - (-1 + sqrt(1377))*3).\nAnswer: -3*sqrt(17) + 2056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/3 + 230\/3. Suppose -h = 4*g - 6*g. Solve 13 = 5*n + g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (8 - 2 - (-1 - -4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 15*i**2 - 10*i.\nAnswer: -5*i*(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 3*o - 42. Suppose 2*h - o - 74 = 0. What are the prime factors of h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 2*l - 144 = 0. Let b = -13 - l. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-939*i - 1087*i - 535*i)*(-1 - 1 + 5) as o*i + u and give o.\nAnswer: -7683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6649 - -6649.2. Let h = -3.8 + -0.2. Which is the closest to -31? (a) h (b) v (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 13b8f?\nAnswer: -13b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t. Let d be p(2). Let a(q) = q**3 - 2*q**2 - 3*q + 3. Let v be a(3). Suppose o - v*o - 10 = 0, 26 = 4*f - 2*o. Solve 0 = -n + d*n - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**3 + 4*s**2 + s**3 - s + 0*s + 0*s**2 + s**4 as n + h*s**4 + d*s**2 + x*s**3 + u*s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 395.6 + -395.1. Let z = -1 - -1. Let x be (-5)\/(-35) + z\/2. Which is the closest to x? (a) -0.1 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 10552802?\nAnswer: 94975218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 0.3 in increasing order.\nAnswer: -3, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 12*l**2 + 10*l + 7. Let v be y(11). Let q be (-4)\/6 + v\/(-6). Suppose -4*a - 3*h = -288, 2*a - 6*a + 2*h + 288 = q. Does 36 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5781904273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36142, 69468, 102792, 136114, 169434?\nAnswer: 202752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 142692*y**2 + 142695*y + 35674.\nAnswer: -(y - 35674)*(2*y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*h + 216*h = -217*h, -33 + 3 = 2*l - 3*h for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 19701100 to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 760?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.05722 rounded to the nearest integer?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(4\/9)*q**(-7)\/q)**(-2\/41)*((q*q\/(q\/q**(-2)))\/(q*q**(2\/3)))\/((((q*q**(2\/3)\/q)\/q*q)\/q)\/q)**(-4\/3) assuming q is positive.\nAnswer: q**(-502\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 533 = 3531. List the prime factors of i.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 146328853*g**3 - 30195569*g.\nAnswer: 877973118*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2632477.\nAnswer: 2632477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 4*u + 26, -3*d = 260*u - 261*u + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 (base 10) in base 12?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 66487712 to the nearest integer?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l. Let g(q) = -q**2 - 10*q - 1. Let b be (36\/54)\/((-2)\/(-33)). Give b*h(z) - 2*g(z).\nAnswer: 2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3ada59 (base 15) to base 14\nAnswer: -5397a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961165 is divided by 1235.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 12*h**3 - 8*h**2 - 4*h + 8. Let s(t) = t**3 + t + 1. Let z(o) = c(o) - 8*s(o). Factor z(g).\nAnswer: 4*g*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -15, -3 in increasing order.\nAnswer: -15, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yhiyd. What is prob of sequence iydy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 + 9*a**2 + 6*a + 11. Is i(-7) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 4, 1\/8, -1\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13\/9 - 421\/36. Let q = -1812 + 7283\/4. Calculate the common denominator of q and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(-1\/3)*f**(-1\/4)*f*f**(-1)*f**(-1\/4) assuming f is positive.\nAnswer: f**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z**3 + 15*z**3 - 2 - z**3 in the form t*z + w*z**3 + p + k*z**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - -1) + (-105)\/210?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 + 2*v**2 - 2*v - 4. Let z be m(-2). Suppose 4*q - 127 - 205 = z. Does 14 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 823.000001892 - 823. Round p to 7 dps.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 10*k. Let m(f) = -14*f - 7*f + 20*f. Let r(j) = -10*m(j) + z(j). Let a(y) be the second derivative of -y**4\/2 + 2*y. Determine a(r(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 + 4 = 0, -5*m - 4 = -3*j. Suppose 2*k - m = 5. Suppose -k*r + 5*r - 106000 = 0. Round r to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 22*j - 884. Let f = j - -74. Let l be (16\/f)\/(10\/45). Solve -2*x - 2*w + 8 = -w, 4*x - l = -4*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h + 25. Let q be z(7). Suppose -3*m + 4 - q = 0. Let r(g) = -3*g + 89. List the prime factors of r(m).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m**3 + 12*m**2 - 5. Suppose 0 = 4*q - 3*v - 3, 6*q - 4*q + 31 = -5*v. Let t(z) = 3*z**3 + 6*z**2 - 3. Let b(a) = q*u(a) + 5*t(a). Factor b(r).\nAnswer: -3*r**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxw when three letters picked without replacement from wpwxwxwx.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 + 67 = 8*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, v: 1, p: 7, e: 1, i: 1, q: 2}. Give prob of picking 1 q, 1 i, and 2 p.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 4) + (3 + -5 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -4*m + 38. Let p = m + -29. What is p rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 6*a - 6 = 4*r, -2*a + 2*r + 8 = 0. Find the second derivative of 80*u**a + 74*u**5 + 2 + 80*u - 58*u**5 wrt u.\nAnswer: 1920*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 - 25*f - 4. What is y(-27)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3388, -12663, -27908, -49129, -76332?\n\"Answer: -g**3 - 2979*g**2 - 331*g - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102714 is divided by 31.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5 + 3*t - 7*t**2 + 3*t - 1 - 2*t. Let m(w) = -15*w**2 + 7*w + 9. Let b(k) = -7*f(k) + 4*m(k). Differentiate b(h) wrt h.\nAnswer: -22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425735024123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 276*o**4 + 2*o**3 - 643*o**2 + 5403615*o wrt o?\nAnswer: 3312*o**2 + 12*o - 1286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -260 + -1661?\nAnswer: -18c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -64.65931 rounded to 1 dp?\nAnswer: -64.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*x**3 - 250*x**2 - 9*x + 4 wrt x?\nAnswer: -12*x - 500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 4*o**4 - 9*o**2 + 9*o**2 + o**3 - 1 in the form q + j*o**4 + d*o + h*o**2 + b*o**3 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.6019429s in hours?\nAnswer: 0.00155609525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2\/9 (c) -0.1 (d) 67 (e) -545 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -990*q - 8914. Give n(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -3.7. Let i = u - 0. Let w(o) = -o**2 + 4*o - 3. Let t be w(2). Which is the nearest to t? (a) -2 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -9*v + 73. Suppose -1905 = -v*r - 0*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 3:53 PM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309155747?\nAnswer: 29, 61, 174763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(3)*2 + 1*sqrt(3)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6746 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -24*r**2 + 33*r. Let z(g) = -3*g**2 + 4*g. Let f(m) = 4*j(m) - 33*z(m). Let t = -10 + 14. Let w(y) = 6*y**2 - y**2 - t*y**2. Calculate f(w(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n - 1. Let g(o) = 19*o**3 + o**2 - 2*o + 1. What is g(l) + 2*h(l)?\nAnswer: 19*l**3 + l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*m**2 - 2*m**2 - 2*m**2)*(0 + 0 + 2) - 3*m**2 - m**2 + 5*m**2 + 77*m**2 - 10 - 76*m**2 - 2 - 2*m as k + b*m + z*m**2 and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/6 + 1 + (17808\/(-36) - -5). Which is greater: -485 or n?\nAnswer: -485","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*p**2 - 4*p + 11*p - 8*p.\nAnswer: -74*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 240155, 480311, 720467?\n\"Answer: 240156*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 - -53. Suppose 4*v - 4*l = u, -5*v + 8*l - 4*l + 43 = 0. Let x = 264 + -241. Solve -2*a - x = -4*o - 9, -o + 2*a + v = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -25777, 4, 433 in descending order.\nAnswer: 433, 4, -4, -25777","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -590\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + c + 2. Let y be p(2). Suppose 0 = -v - y*v. Factor v*q**2 + 0*q - 7*q + 3 + q + 3*q**2.\nAnswer: 3*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 800429553 a multiple of 189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 1. Suppose i - 4*i - 21 = b. Does 17 divide (-317)\/i - (-20)\/(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 15 = -q, 10*q - 2*t + 35 = 15*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 13144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -762*y + 3822. List the prime factors of g(-39).\nAnswer: 2, 3, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from zjjjjzmmzjjjzmzj?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -10 - 20. Suppose 36 = a*q - 54. Calculate the remainder when 25 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/6)\/(3\/(-6)). Let k be o\/(-7) + (-968)\/(-56). What is the highest common divisor of k and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**3 - 12\/5*f**2 + 0*f + 0 - 2\/5*f**4 = 0?\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - 16\/(-4) - -2. Suppose -3*z + 87 = -v. Calculate the lowest common multiple of -2 - (-1*16)\/1 and z.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -1\/27789 (c) 0.2 (d) -4 (e) -2.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in seconds?\nAnswer: 72000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 4*j - 8 = -17*t, -6 = -4*t + 2*j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74798 and 17135?\nAnswer: 8601770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4561?\nAnswer: 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 200533974673?\nAnswer: -200533974672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1\/16, -0.3, -5?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 + 44*c - 30. Let u be s(-22). Which is greater: u or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 645*w**2 - 487*w**2 - 1098*w**5 - 476*w**2 wrt w.\nAnswer: -65880*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) - (3*(0 + sqrt(117)))**2)) + -5*sqrt(117)*6.\nAnswer: -90*sqrt(13) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 2*l**2 - 5*l - 3. Let n(f) = -f. Let m be n(3). Let z be w(m). Suppose 4*i - 574 = -2*j, 2*i + z*j = 6*j + 283. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 1 + 1)*(-4*j + 17*j - j - 2) as u*j**2 + v + g*j and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 281 + -281. Let u(v) be the first derivative of 8\/3*v**3 - 8*v + 6*v**2 - 8 + o*v**5 + 2\/3*v**6 - 4*v**4. Factor u(y).\nAnswer: 4*(y - 1)**3*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-5 - -1 - (-1 + (-7 - -8)))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 1:28 AM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -253*c**5\/60 - c**3\/6 + 17*c**2 - 13*c. Let q(s) = -5*s**2. Calculate q(h(r)).\nAnswer: -320045*r**4 - 2530*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - ((-1)\/1 - -10). Let k = c - -17. Factor 2*m - 8 - 7*m - k*m**2 - 5*m - 6*m.\nAnswer: -2*(m + 2)*(3*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 605695\/32603229 + -10\/23677. Find the common denominator of h and 2\/153.\nAnswer: 1377","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 1:36 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 1\/4 (c) -566 (d) -3 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 2*y**2 - y**4)*(y - y - y) + 21*y**5 - 9*y**3 + 13*y**3 - 3*y**3.\nAnswer: 22*y**5 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 28*m + 87. Let i be n(-11). Let x = 618 + i. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1456 + -1456. Let l be 0 + 1 + 0 - -3. Suppose w = -3*x - 6, 45 + 67 = 4*y + l*x. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 k when two letters picked without replacement from ltllttklllltkkllllll.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 + 2*u + 2. Let s be d(-2). Solve 0 = -s*m - 2*v - 6, -v - 10 = v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 210*z - 78. What is j(3)?\nAnswer: 552","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = a - 4, 0*l + 3*a = -l - 6. Suppose -l - 1 = -5*r. Suppose -2 = -r*d + 2. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 561036 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2, -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013472 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2319 + 2841 = 257*n - 85*n for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*j + 371 = 0, 0 = 2*l - 4*j - 120 - 134. Let c be (6\/9)\/((-6)\/l). Let n = c + 37. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -924*i - 28 = -931*i. Let b be (-4)\/(-18) + (-194)\/(-18). Suppose i*l - 69 = b. Solve 5*a = -0*a - l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(-7)*v**(-2)*v\/(v\/(v**(-2\/7)*v))*v assuming v is positive.\nAnswer: v**(145\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1077669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqkxxkkqxkxkq. Give prob of sequence kxkq.\nAnswer: 50\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a**2 + 14*a + 6. Calculate g(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -127.738.\nAnswer: 25.5476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-5*-1*sqrt(187))\/((sqrt(176)*1 + sqrt(176) + sqrt(176))*6) + 2)**2.\nAnswer: -10*sqrt(17)\/9 + 1721\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - 12*q**2 - 21*q + 22. Give p(13).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*w = 5*u + 16, 20 = u - 5*w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -21 - 0\/(-3 + 3 + -2). Calculate the smallest common multiple of 77\/v*18\/(2 - 5) and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) -2\/5 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258 + 261. Suppose -3*m = 3*i - 9 - q, -4*i - 2*m = -10. What is the nearest to i in 3\/5, 1.3, 2?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 514, 1027, 1542, 2059, 2578, 3099, 3622?\n\"Answer: u**2 + 510*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1045 + 1?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 85 + -34 + -80.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*j + 228. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24946048 to the nearest integer?\nAnswer: 4995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/6 + 271577*t\/3 + 73754066929\/6.\nAnswer: (t + 271577)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-5 + (9 - 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/((-825)\/(-979)) + -6.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*y**2 + y - y + 126*y**2.\nAnswer: 93*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of 353*r**3 - 681*r**2\/2 + 2748*r. Find the first derivative of k(n) wrt n.\nAnswer: 2118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 644335.7 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -19*x - 125. Let c be t(-7). Suppose c*q - 3*q = 39*q. What is p in -1\/2*p**2 - 1\/4*p**3 + 3\/4*p**4 + q*p + 0 = 0?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 708 or -18800?\nAnswer: -18800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.316 + 0.46. Let m = z - -5.956. Let r = m + -1.1. Which is the biggest value? (a) -0.12 (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of 0*u + 0*u**4 + 0*u**5 + 4*u**2 + 0*u**6 + 0 - 1\/3*u**3 + 1\/70*u**7. Find the first derivative of d(a) wrt a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = g - 3*k, -3*g + 1 = -6*g + 5*k. Suppose -3*d - 6 = g*n, 0 = -2*d + 3*n - 0*n + 11. Is (1 - 0)*d*53 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4896\/(-252))\/((-24)\/84).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3849137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1836*a**3*r*x**2 - 8*a**3*r*z + 23*a**3*r - 2*a**2*r*x - a**2*r + 3*a*x*z + 3*r*x**2*z - r*x**2 wrt x.\nAnswer: -3672*a**3*r + 6*r*z - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 7147?\nAnswer: 7149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g + 14. Let v(z) be the third derivative of 5*z**3\/6 + 5*z**2. Let p(n) = -4*u(n) + 11*v(n). Give p(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of q**7\/105 - q**3\/3 + 4*q**2 + 4. Let u(w) be the second derivative of a(w). What is the first derivative of u(j) wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tvxdr. What is prob of sequence dxv?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-61)\/(-24) + 6\/(-36). Let o = n - 21\/8. Which is smaller: 34 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 14*q**3\/3 - q**2 - q + 1820. What is v(2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 48*s - 120. Let z(v) = 6*v - 14. Let x(t) = -4*a(t) + 33*z(t). Determine x(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 15 = -5*b, -3*b + 2*q + 12 = -q. Let f be (40\/24)\/(b\/(-33)). Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6375 and 1557150?\nAnswer: 132357750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 825 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -8. Let n be -2 - (187\/(-153) - 4\/(-18)). Put 2, 1, m, n in decreasing order.\nAnswer: 2, 1, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 12) to base 9\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2467*m - 2521*m + 5930*m + 626*m**3 - 2347*m wrt m.\nAnswer: 3756*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24747.06 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 15*l**2 - 75*l - 269. Calculate m(-5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 19*s - 178 = 10*s + 5*w, -w - 32 = -4*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 6*f + 12*f)*(-50 + 1 - f - f).\nAnswer: -10*f**2 - 245*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180442 and 25066.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, f: 4, y: 1, z: 1, p: 1}. What is prob of sequence fzqf?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 821.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2))**(2\/27)\/(s**0)**(-50) assuming s is positive.\nAnswer: s**(2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 2*z**2)*(-1 + 1 - 4*z + 3 - 3 - z + 2*z - 2*z - 2*z + 3*z - 3*z - z + (-2 + 2 + 2*z)*(0 + 3 - 2)).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/311 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) -4 (c) -3.5 (d) -17 (e) -1\/2 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71 take away -60?\nAnswer: 60.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*s = -12. Let t = s - 1. Let x(c) = 2*c - 6. Let w(p) = p - 1. Let a(y) = -4*w(y) + x(y). Let k(d) = -4*d - 3. Calculate t*a(f) + 4*k(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61956 divided by -5163.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 364296 and 35088.\nAnswer: 12386064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a - 1. Let y be h(1). Suppose -4*o = -3*j + 165, 3*o = -y*o. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*2*sqrt(95) + sqrt(95))*-6)\/((1*(sqrt(60) + sqrt(300)\/sqrt(5)))\/sqrt(12)).\nAnswer: -39*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/(-10))\/((-16)\/20 + 1). Let j(z) = z**2 - 4*z - 22. Let y be j(6). Sort -1, y, l.\nAnswer: y, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16260*m**2*p**2*u**2 + m**2*p**2 + 4629*p**2*u + u**2 wrt u.\nAnswer: -32520*m**2*p**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) -5 (c) 0.10508\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 169\/1386 and -7\/660.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -120323 (base 4) to base 14\nAnswer: -81d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let m = 0.1 + r. Let b = -10.4 + 10. What is the nearest to b in m, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.242 + 3.794. Let k = h + -44. Let f = k + 0.004. What is the closest to -1\/3 in -1, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2, 1\/4, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 152, 154, 156?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79811 is divided by 614.\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/4*(-1 + 15\/9). Suppose r*q - 246 = q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a87b (base 15) to base 3\nAnswer: -122020120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8471 and 4531.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 2*d + 2*d**4 + 473 - d**2 - 463 - 6*d as j*d**4 + a*d**2 + q*d**3 + f*d + c and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.196 (b) 84 (c) -5 (d) -0.1 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*s**3 + 35*s**3 + s - s.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4829723\/84 + -57496. Find the common denominator of (-13*(-2)\/(-168))\/((-49)\/(-490)) and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y + 16*y - 147 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (20 + -10 + 10 + -14 + -2)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -73*h - 2. Let c(q) = q + 1. Let p(d) = 10*d + 8. Let m(v) = -8*c(v) + p(v). Determine m(z(y)).\nAnswer: -146*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -35*a - 246985 + 244885 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 714 by -3.\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s + 1. Let o(f) = 4*f + 1. Give -11*o(l) + 6*w(l).\nAnswer: -2*l - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 22, 37, 48, 49?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -76 and -17.417078.\nAnswer: -93.417078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.18 - -0.02. Let l be (-8)\/3*1\/(-4). Which is the nearest to -0.1? (a) -5 (b) f (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -207 or -209?\nAnswer: -207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g - 6*g - g)*(-2*g**2 + 2*g**2 - g**2) - g**2 - 339*g**3 - 3*g**2 + 340*g**3 as t*g**3 + i*g**2 + j*g + h and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d*d**1*d))*d**(-2)\/d*d)**(-19) assuming d is positive.\nAnswer: d**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = -4*l - 59, 0 = a + 5*l - 26. Suppose 0 = -4*f - 1 + a. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -3 (c) -1 (d) -0.2 (e) -0.179 (f) 81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -10*y**2. Let u be 2*(-2 + 1)\/2. Let l(r) = -r**2 + r. Let c(g) = u*k(g) - 5*l(g). What is the second derivative of c(n) wrt n?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109665 divided by -7311.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 11) to base 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-8) - 1656\/(-96). Solve 0 = -5*j - 4*u + c, -6*j = -2*j + 2*u - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0125 - -0.0545. Let d = a - 0.04200528. Round d to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 334*r - 642*r + 312*r + 25. Determine c(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1467 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/((96\/20)\/8).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/6144 and 137\/99840.\nAnswer: 399360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 147 - v**2 - 3*v - 147. Let a be g(-3). Let s be 0\/(11\/(88\/16)). Solve -2*z + 0*z - 3*r - 8 = s, a = -2*r - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-20)\/96)\/((-2)\/(-8))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**4 - 748*n**3 - n**2 + 13*n - 26 wrt n.\nAnswer: -48*n - 4488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/442536 and 63\/92195.\nAnswer: 2212680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 0 - 4 = 0. Let p(g) = g**2 + g - 3. Give p(u).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose 2*k = -p*k. Suppose k*v - v = -8. What is the highest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = u + 8 - 21, -3*k - 17 = u for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 44 + 134. What is the remainder when 54 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 134 and 22.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 686 = -3*j + 8*j, -3*j + 424 = -5*t. Calculate the remainder when j is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 36576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 18. Let f(v) = -v**3 + 8*v**2 - 7*v - 2. Give f(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*w = -5*j - 158*w - 5, j - w + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(45) + sqrt(10)\/(sqrt(32) - sqrt(2)).\nAnswer: -35*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5518494*k**3 + 189287774?\nAnswer: -16555482*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 v when four letters picked without replacement from vuvuvvuvnnu.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -354 + -38226?\nAnswer: -38581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1472577 + 362?\nAnswer: -1472215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*t**2 + 2689*t**2 + 3063*t**2 - 1112*t**2 + 3127*t**2.\nAnswer: 8068*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9445 (base 13) in base 3?\nAnswer: 1001010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, r: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:27 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -9. Let r = m - -2. Is (r - (-2 + 21))*-2 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 241686, 241623, 241516, 241365, 241170?\nAnswer: 240931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-9))\/7 + (-43)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + w**4 + 4*w**4 + 2*w**2 - w**4 + 4*w**4 + 3*w**4 + 3*w**4 - 5*w**4 + 4*w**4 + (-4*w**3 - w**3 + 3*w**3)*(-w - w + 0*w).\nAnswer: 17*w**4 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-14)\/(2 + -4). Let c = 70 + -74. Which is greater: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4*p**2\/7 + 124*p + 17848\/7 = 0.\nAnswer: -194, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 - -2.2. Which is the closest to 1? (a) y (b) 1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103352 divided by 2790?\nAnswer: 51676\/1395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 6*z + z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414570 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: Which is bigger: 2\/12703 or 11.86?\nAnswer: 11.86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 - 87. Suppose 0 = -k*l + 84 + 7. What is the units digit of l + -5 - (-159 - 2)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at most -287?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.65312 weeks in microseconds?\nAnswer: 43940606976000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2688\/17303 - 2\/1331. Let u be 1\/7 + 4\/14. Put u, q, 0.1, -3 in increasing order.\nAnswer: -3, 0.1, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 0*u**2 + 2*u**2)*((6 + 4 + 0)*(-13 + 23 + 11)*(-3*u - 4*u - u) + u + 3*u - 2*u + (3 + 1 - 3)*(0*u + 0*u + 2*u) - u + 4*u - 2*u).\nAnswer: 1675*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76.5 + 76. Let x be 1*(-16 + 2 - (-1 + -2*1)). Put -3, n, x in increasing order.\nAnswer: x, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * -4.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25415 (base 6) to base 10.\nAnswer: -3827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*q*u**3 + 121888*q*u**2 + q + 60*u**3 - 4*u**2 + 4*u + 91 wrt q?\nAnswer: 16*u**3 + 121888*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, -5, 515, 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8 + (156\/(-12) - -12).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the second derivative of -17*v + 1\/20*v**5 - 19\/2*v**2 - 5\/3*v**3 + 0 + 3\/4*v**4. What is the tens digit of x(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35993074 is divided by 7198610.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + 19. Let l(y) = -96*y + 50*y + 47*y. Calculate l(m(x)).\nAnswer: 4*x**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + 0.13. Let r = 30 + -44. Let z = r - -10. What is the biggest value in u, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*o = 2*x - 8, 0 = -x + 3*o - 11. Let w be x\/(-27)*-3 - (-60)\/27. What is the third derivative of 24*f**6 + 60*f**w + 20*f**2 - 51*f**2 wrt f?\nAnswer: 2880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310 is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 1485.\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27339 is divided by 282.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 1:43 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162188 and 182?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2540*a + 9157. Give w(-4).\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (9 + -8 + 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of 3*h**5\/10 - 11*h**2\/2 - 9*h. Find the first derivative of g(t) wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 15650440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -1358382.\nAnswer: -7\/1358382","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*1\/(-6)*10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**2 - 333188*o - 13876780418 = 0.\nAnswer: -83297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {l: 4, r: 2, y: 7}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 11 = 2*x - 3, 5*x = 2*f + 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14472, -57849, -130124, -231279, -361296, -520157, -707844?\nAnswer: -924339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**3 + 4*r**2 + 5*r + 3. Let p be k(3). Let i(m) = -2*m - 1. Let t be i(-2). Suppose 0 = -c + 1 + t. Solve -2*l - 2 = -2*d, -3*l + c*l = p for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -876, -3531, -7964, -14181, -22188?\n\"Answer: -a**3 - 883*a**2 + a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6871 (base 14) in base 5?\nAnswer: 1040011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2051020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = 1471 - 1367. Let b(j) = 8*j**2 - 7*j + 6. Let z(f) = -17*f**2 + 14*f - 13. Determine v*b(p) - 6*z(p).\nAnswer: -2*p**2 + 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13054325 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.5 - -3. Let h = -0.03 + -1.97. Let o be (5\/90)\/(2\/(-8)). What is the closest to 0.1 in h, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10844, -17719, -24594, -31469, -38344, -45219?\nAnswer: -52094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 7*j + 11. Let d be a(-11). Let m be (d\/22)\/(2\/(-52)). What is the greatest common divisor of m and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(156)\/(-2*sqrt(75)))\/((sqrt(484)*-2 - sqrt(4)) + -1*sqrt(64)))**2 + 3.\nAnswer: sqrt(13)\/45 + 874813\/72900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 86*c**2 - 1688*c - 8451. Calculate u(-5).\nAnswer: 2139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + 0 + 0 + sqrt(1331) + 1) + -2)**2*-5 + 2.\nAnswer: -59973 + 1320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1218.628 to the nearest integer.\nAnswer: -1219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812788 is divided by 142?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 + 12 = 0. Let g(p) = -3 - 5554*p - 7 + 11118*p - 5566*p. Determine g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 9:52 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 24 = -4*i, 77665*i - 77664*i + 12 = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 29*l + 5. Give j(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 8 = -4*d. Suppose 0 = l + 5*r + d, 3*l - 11 = r - 2*r. Suppose -c + 8 = -i, 0 = i + 3*i - l. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(275) + 5*sqrt(275) + 3 - sqrt(275)) + sqrt(275) + sqrt(275))*1 - (((sqrt(275) + 1 - sqrt(275)) + sqrt(275))*6 + 2 + -4))**2.\nAnswer: 20*sqrt(11) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, y: 8}. Give prob of sequence yiiy.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, p: 1, g: 4, z: 7}. Give prob of sequence ypgy.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 11:56 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iixx when four letters picked without replacement from xxixcilcix.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 11}. Give prob of sequence nn.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(891) + sqrt(891))*-4 + sqrt(891))**2*-6.\nAnswer: -133650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -92 equal to -93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of j**6\/1800 + j**5\/300 - j**4\/40 + 37*j**3\/3 + 125*j**2. Let v(g) be the first derivative of i(g). What is d in v(d) = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*3*(((sqrt(13) + -2 - sqrt(13)) + -1 - sqrt(13))**2 + (-5 + sqrt(13))*-5).\nAnswer: 3*sqrt(13) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 - o + 6. Determine j so that m(j) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**7\/q)\/(q**(-1\/16)\/q))\/((q\/(q*q**(1\/4)))\/(q*q**5)))**(2\/91) assuming q is positive.\nAnswer: q**(213\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flfl when four letters picked without replacement from {q: 3, f: 2, l: 4, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*v + 3*v + 30 = 0, -3*f + 2*v = 5. Let z = -1438.1 + 1499.1. Which is the second biggest value? (a) 0.2 (b) f (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - -106?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -5*k - 1. Let r be h(-1). Find the common denominator of 2\/r*(-186)\/4 and 1 + -2 + 30 + -3 + 7 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 + 10. Let k be z(-3). Calculate the remainder when 135 is divided by 5698\/(-77)*1*k\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -50. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -269*o**4 - o + 81.\nAnswer: -3228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 36 = 148. Let k be 299\/7 + p\/(-49). Let b = -39 + k. Put -5, 22, b in increasing order.\nAnswer: -5, b, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**(5\/6)*y)*y**(1\/4))\/(y*y**(-5\/6)*y**(2\/13)))\/(y*y**(-4)*y**(1\/13)*(y\/y**(-1\/5))**(-48)) assuming y is positive.\nAnswer: y**(15761\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*l**3 + 96 - 95 - l**2 + 2*l**2 + 9*l**3 as f + a*l**3 + h*l**2 + w*l and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 6:00 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1304904545?\nAnswer: 5, 7, 31, 171811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17160 divided by 6\nAnswer: -2860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*g**4*q + 4*g**3*q + g**2*q - 100*g**2 wrt g?\nAnswer: -744*g*q + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145782848 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -187*f**2 + 0*f**4 - 16\/45*f**5 + 0*f - 1\/5*f**6 - 4\/105*f**7 - 1\/504*f**8 + 0*f**3 + 0. Let k(u) = 0. Calculate u.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -355*f + 1388. What is a(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7309824*d**3 - 163*d**2 - 9*d - 6872.\nAnswer: 43858944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-5 - 2 - -13).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18874268 to the power of 1\/2, to the nearest integer?\nAnswer: 4344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 16*((-84)\/16 + 4). Let x = m + 21. Is x at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31111896 and 176.8.\nAnswer: 31112072.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 164*(2 - (-81)\/(-48)). Let r = o - 51. Let n = -12 + 11.8. Which is the second biggest value? (a) r (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -219 - -224. Let l = 26 - 16. Suppose 0*t - l = -2*t. Solve -t*w - v = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555193 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a microsecond in nanoseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*y + y. Suppose y*h = 5*h - 126. Suppose -3*t + 68 = 35. What is the remainder when h is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(6\/3)\/2. Let g(t) = t**3 - 7*t**2 - 5. Let h be g(7). Let p = h + r. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/664 and -191\/6552.\nAnswer: 543816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11988, -9 in increasing order.\nAnswer: -9, -4, 11988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-379)\/2555 - (-12)\/21. Let a = d - -2\/365. Suppose 6\/7*f - 3\/7*f**2 - a = 0. What is f?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of p**5\/270 - p**3\/27 + p**2 - 4. Let i(h) be the second derivative of w(h). Factor i(y).\nAnswer: 2*(y - 1)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2936510?\nAnswer: 2, 5, 293651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148*g + 952 = 150*g. Suppose -3*l - l - 646 = -h, 5*h - g = 3*l. Let o = l + 247. What is the remainder when o is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 + 4*m**2 - 25*m + 9. Let l(x) = x**3 - x**2 + 6*x - 2. Let f(p) = 9*l(p) + 2*n(p). List the prime factors of f(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rxvrzvr. Give prob of picking 2 z and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1, -2, 11, 50, 127, 254, 443, 706?\n\"Answer: 2*b**3 - 5*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9108 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -a0?\nAnswer: -a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (9 + -1) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = 4*f, 2*b - f - 16 = 2*f. Suppose 0 = b*k, 4*v - k = 6*v - 26. Calculate the remainder when v is divided by (-16 - 1242\/(-92))*(-1)\/((-1)\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 0*c**3 + 0*c**5 + 0*c**6 - 5\/42*c**7 + 0*c**2 - 2*c + 0 + 1\/3*c**4. Find the third derivative of o(w) wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.268 and 0.4?\nAnswer: 2.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -57215 - -13331126\/233. Find the common denominator of o and -24\/7.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 3*q**2 - 2*q**2 - 1210*q - 3 - 2 + 1212*q + (2 - 1 - 2)*(-q**2 + 3*q - 3*q).\nAnswer: -4*q**2 + 2*q - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1380.0000207 - 1380. Round h to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3017.503 micrometers to nanometers.\nAnswer: 3017503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8210, 8013, 7816, 7619, 7422?\n\"Answer: -197*j + 8407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 5:27 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11.4? (a) 1 (b) 3 (c) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 205867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 3\/8*n**4 - 1 - 11\/6*n**3 + 11*n**2 + 0*n - 3\/20*n**5 - 1\/120*n**6. Calculate m(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 3, g: 4, h: 3, p: 4, s: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/50 and 43\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 5101*x + 20424. Let u be b(4). Let 0*t + 0 + 3*t**5 + 84\/5*t**3 - 66\/5*t**u - 24\/5*t**2 = 0. Calculate t.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 + s + 7. Let q be x(-4). Let i = q - -30. What is the remainder when 83 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 230351 - -5?\nAnswer: 230400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110001 (base 2) to base 8.\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 80 = -25*w. Let r = 31 - w. Calculate the highest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4636832 and 1504?\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*p**2 - 2*p**2 + 2*p**2 + 0*p**2 to m*p**2 + l + q*p and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 2:04 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 3\/5 (c) -2 (d) -20\/9 (e) -27.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15639278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -65006b (base 13) in base 10?\nAnswer: -2370652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 552*c*d**3 - 1008*d**3 wrt c?\nAnswer: 552*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 14*h**2 + h - 12. Suppose 0 = -5*b - c + 67, b = -2*b + 4*c + 54. Let m be p(b). Solve m*l + g = -10, 0 = l - 0*g + 4*g + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1216, 2324, 3428, 4528?\nAnswer: 5624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1962 + 1958. What is the third biggest value in 2, l, -21\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 9*o = -5*o + 25, l = 5*o + 24 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3768 + -33367?\nAnswer: -28488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 94 + -126 + (8 - 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.0844 - -0.0844. What is the smallest value in m, 0.04, 0, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*b + 8*b - 1016. Let g = b - 113. Find the second derivative of 27*n**4 - g*n + 27*n - 10*n**4 + 19*n wrt n.\nAnswer: 204*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aocte. What is prob of picking 1 e and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + v + 4 + 9, -3*v = -2*q + 30. Suppose r - 4*r + q = 0. Let y(j) = j**r - 2 - 3*j**3 + j**3. Determine y(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -203\/132 - -5\/132. Let r = 27.4 + -27. Which is the biggest value? (a) r (b) o (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 131*q + 1605 = -690*q - 11919 for q.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 9:45 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*x - 6 = 0, 3*y - 4*x - 13 = -3 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/8, -5\/2, 87, -0.108, 3 in ascending order.\nAnswer: -5\/2, -0.108, 0, 3\/8, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3\/3 + 91*x**2\/3 + 176*x\/3 + 80\/3.\nAnswer: -(x - 20)*(x + 1)*(5*x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(10\/7))**(-16)\/(m**1\/m*m*m**(2\/11))**12 assuming m is positive.\nAnswer: m**(-6796\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5e4b7c (base 15) to base 11\nAnswer: -2609262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/(r**(-4)\/r))\/(r**(2\/9)*r*(r\/r**(-2))\/r) assuming r is positive.\nAnswer: r**(10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 - 7\/(-5). Suppose -f + w + 1 = 0. Suppose 2*j - 4*j - f = 0. Which is the nearest to j? (a) -4 (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**4\/24 - 11*c**3\/6 - 7*c**2\/2 - 6*c. Let x(u) be the first derivative of i(u). What is x(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7b417 (base 12) to base 4.\nAnswer: 220032103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 737 divide 5387805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkybkw. Give prob of picking 1 w, 2 k, and 1 y.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-1)\/20 + (-45)\/(-4). Let c be ((-22)\/8 - -1)*4. Let k = m + c. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1771, 3002, 3679, 3802, 3371, 2386, 847?\n\"Answer: -277*q**2 + 2062*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 27\/6*(-2 + 16). Suppose j = -5*f + 8*f. What is the remainder when f is divided by 31\/4 - 2\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1808711.\nAnswer: 61, 149, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -76*k + 227*k - 72*k - 77*k. Let o(q) = -11*q + 152. Determine g(o(v)).\nAnswer: -22*v + 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + 0.6. Let k = -2397\/5 - -479. Which is the smallest value? (a) k (b) -5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighty-one halves of a meter?\nAnswer: 4050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 743.1 + -743. Put 0.5, p, -70, -2 in descending order.\nAnswer: 0.5, p, -2, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22064 - -22170. What is the remainder when 153 is divided by r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/((-140)\/(-3))*-14)\/5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 282922.1 centuries?\nAnswer: 339506520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117\/(-78)*12\/(-45).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 15*c**2 - 490*c + 308. Give h(32).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c*h*q**2 + 2*c*h*q - 260*c - 315*h*q - 2*q**4 - 14560*q**3 wrt q.\nAnswer: -2*c*h - 24*q**2 - 87360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l - 5*l + 5*l - 2*l + 2.\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16054 by -5.\nAnswer: 16054\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 336? (a) -0.2 (b) 6\/11 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*g - 0*g + 5, -3*g = b + 2. Let d = -6 + g. Let t be 108\/14 + (-8)\/(-28). Put 5, d, t in increasing order.\nAnswer: d, 5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 327761278 is divided by 1056?\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/7)\/(-2)*3. Let o be (-2)\/(((-11088)\/(-32))\/77 - (-1 + 3)). Which is the biggest value? (a) q (b) 242 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -485 + -51283?\nAnswer: -51768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -89 (base 10) to base 11\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0727, -4.23, -10.\nAnswer: -10, -4.23, -0.0727","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-1 - -1) + -4 + 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46534407 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b - 1. Let u(t) = -t**2 + 3*t + 1. Let f(v) = -v - 4 + 4*v + 0 - 2. Let l be f(3). Let k be (9\/3)\/(9\/12). What is k*w(d) + l*u(d)?\nAnswer: d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum 481 and -461.036.\nAnswer: 19.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 5. Let o be (-42)\/(-63)*(4 - -2). Factor 0*h**2 + 0*h**o - 2\/13*h**p + 0 + 2\/13*h**3 + 0*h.\nAnswer: -2*h**3*(h - 1)*(h + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11416607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**3*z**4 + 426*v**3*z**3 - 4*v**3*z**2 - 4577*v*z + 50*z**3 - 3*z**2 wrt z?\nAnswer: 24*v**3*z + 2556*v**3 + 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 24 - (2 + -12)) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, -4, 1 in descending order.\nAnswer: 6, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.3353352s?\nAnswer: 335335200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 + z**4\/12 + 2*z**3 - 7*z**2. Let y be n(-8). Let x = y - 17. Is x a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19453896 divided by -10164.\nAnswer: -1914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 26. Let z be q(0). Is 4\/26 - (-620)\/z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, -6373, 1, 24, 3, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -4*w + 4, 5*w - 5 = -5*s + 25. Put s, 0.5, -2\/9 in decreasing order.\nAnswer: s, 0.5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r**2 - 2*r**2 - 2*r**2)*(-9*r + 0*r - 6*r) + (-8*r + 8*r - 12*r)*(-3*r**2 + 4*r**2 + r**2) in the form n + a*r**2 + g*r + j*r**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 2 - 13)*(-3 - 1 + 1)*((2*p**4 + p**4 - 4*p**4)*(p + p + 0*p) + 5*p**5 - 4*p**5 - 2*p**5) - 5*p**5 + 5*p**5 + 6*p**5.\nAnswer: -237*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -375*c**2. Let t(k) = -1030*k. Give y(t(o)).\nAnswer: -397837500*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*q = 393*q - 166*q - 595 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.34 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 3. Suppose g = -3 - 13. Let v = -755 - -926. What is the remainder when v is divided by l(g)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290 and 65047.\nAnswer: 650470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 170 (b) 1340.97 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59222 + -20 + 3\/(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -35, -76, -133, -206, -295?\n\"Answer: -8*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 - 25. Let u = -346 - -410. Do n and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64395728 to the nearest integer?\nAnswer: 8025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - z - 8*z)*(-z**2 + 2 - 2) + 15*z**3 - 6*z**3 - 41*z**3.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -77 - 43. Suppose 29 = 5*x - 16. Calculate the remainder when v is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.194281um?\nAnswer: 0.000005194281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 5. Let p(s) = -s + 1. Give -i(y) + 3*p(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -l**4\/21 - 44*l**3\/21 - 242*l**2\/7 - 63*l. Find m, given that u(m) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let x = -267 - -272. Let w(d) = 3 + x - 15 + 8 + 1. What is -a(k) - w(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 660721 + 5?\nAnswer: 660726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2942166 at least as big as -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-4\/3))\/(i\/i**(2\/29)))**(25\/6)\/((i**(1\/4)*i)\/(i**0\/i)*((i\/(i**0*i))\/i)**(-19)) assuming i is positive.\nAnswer: i**(-23335\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {f: 4, q: 1, o: 1, b: 1, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (45\/(-9)*(-42)\/(-45))\/((-32)\/(-144))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(2\/5))**2*(t*t**3)\/(t\/(t\/t**(1\/7))))**(8\/11) assuming t is positive.\nAnswer: t**(1304\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2 - n**2 - 1 + 3*n + n - 2*n**3. Let x be b(2). Let k be ((-10)\/x)\/(4\/66). Solve -3*i = 5*j - 25, -5*i = -2*j - 2*i - k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8*x + 3. Let n be a(-1). Solve -9 = -4*c - t, t + 2*t - n = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29082 + 3?\nAnswer: -2907b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**2 - 11*c - 14. Suppose 5*z + 19 - 44 = 0. Let d(w) = 4*w**2 + 7*w + 9. Calculate z*o(g) + 8*d(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6135*-5\nAnswer: -30675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -132 + 37. Find the first derivative of 4*x - 22 - k*x - 6*x wrt x.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (3 + -4)) + -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1098012 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 3\/4, -1, -0.07?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 - 10*u - 8. Let o be p(-9). Suppose s = 4*w - 5, o = -w + 3. Solve 0*r = s*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.89198l?\nAnswer: 87891.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22865.5 and -0.0294.\nAnswer: 672.2457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14, -71, -226, -527, -1022, -1759, -2786?\n\"Answer: -8*c**3 - c**2 + 2*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2. Let n(y) = -y + 1. Let m(k) = -b(k) - n(k). Suppose 35*z - 260 = 9*z. Calculate m(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*i + 5*f + 9 = -29*i, 2*i = f. Put 1255, -1, i in descending order.\nAnswer: 1255, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**3\/3 + 6*h**2 + h - 5. What are the prime factors of x(8)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21022001222 (base 3) in base 14?\nAnswer: -3a4dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/18*213*10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -13*c**7\/7 - 83*c**6\/6 - 2281*c**3\/3 - 593. Find the third derivative of l(y) wrt y.\nAnswer: -1560*y**3 - 4980*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103178 rounded to 5 decimal places?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777709 is divided by 259064.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110000100101000111101 - 100100101?\nAnswer: -10110000100101101100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -2130\/19 != -112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 21\/5 of a hour?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a. Let n(v) be the third derivative of 137*v**4\/3 - 1166*v**2. Give t(n(z)).\nAnswer: 1096*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2\/(-4)*0. Let o = 15625 - 77156\/5. Let f = o + -193. Which is the third biggest value? (a) -0.4 (b) f (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -4*o**2. Let c(v) be the second derivative of v**3\/2 - 4*v. Calculate z(c(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 166 - 99. Let o = 68 - q. Solve 0 = 2*i - o - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -519*h + 7. Let z be g(-4). Suppose z = 5*s - i - 488, i + 1029 = 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**3\/b)\/b)\/((b\/(b*(b**(1\/11)\/b)\/b*b*b))\/b*b)*b\/b**6*b**(-6\/11)\/b assuming b is positive.\nAnswer: b**(-60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(2) + -1 + -2*sqrt(2))*-1.\nAnswer: -2*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1791 is divided by 210.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 237 + -226. What is the remainder when 329 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 - (-4 + 8) - -1. Solve u + 1 = -4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 182.60064 milliseconds to hours.\nAnswer: 0.0000507224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -12*y - 729. Let r(c) = -14*c - 726. What is 6*p(a) - 5*r(a)?\nAnswer: -2*a - 744","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2530\/(-792) + (-143)\/(-44))\/((-3)\/(-2)).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/66 + (-838)\/(-10)*-15*(-38)\/(-2508)?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -78. What is the remainder when 36 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*q**3 + 215103*q**2 + 123458.\nAnswer: 27*q**2 + 430206*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 11*q**2 + 20*q - 5. Let h be u(10). Let o(f) = h*f + 12*f**2 - 5 - 105*f + 0. What are the prime factors of o(-4)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 12:29 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4448 (base 11) to base 10\nAnswer: -5860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512861\/132 + 31087\/8. Calculate the common denominator of 71\/14 and h.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, 0, 2\/15 in decreasing order.\nAnswer: 29, 2\/15, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9434, 9079, 8724, 8369?\n\"Answer: -355*m + 9789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4123, -3227, -2331, -1435?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 287956?\nAnswer: 2, 193, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -16 - 23. Suppose -2*l - 2*l = -28. Solve l = 4*s - u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(72) + 1)*3*4 - (-4 + (-5 + -5 + sqrt(72) + 0)**2)).\nAnswer: -576*sqrt(2) + 471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 297 divide 63564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 PM and 12:00 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8651\/6 - -1456. Let q = 66624 - 733474\/11. Let l = q - -5270\/99. Calculate the common denominator of l and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2600, 2591, 2568, 2525, 2456, 2355?\nAnswer: 2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108 + -103. Suppose -2*r + 92 = 4*p - 0*p, r = -n*p + 109. Solve 16 = -o + p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4179840 to the nearest 100000.\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n + 25*n - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 15*c**4\/2 - 4*c**3\/3 - 201. Factor i(y).\nAnswer: 2*y**2*(15*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y - 5*y + 4*y)*(2 + 0 - 3).\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35412 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5*y + 20, 6*y - 3*y - 12 = -2*u. Suppose u = 2*s - 2*l - 1214, -3*s + 1815 = 10*l - 7*l. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227 - 220. Let m be 1\/((-2)\/(-20)) - n. Let d(s) = s**3 + 2*s - 1. Let g be d(1). Solve 5 = -g*y + m for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 284, 599, 1000, 1535, 2252, 3199, 4424, 5975?\nAnswer: 7900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j = 4*j + 32. Suppose 2*b + 4*w + 36 = j*b, 2*w - 30 = -3*b. Suppose m + q - 2*q = 94, -3*q = b. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (19 + -13) - (49 + -26)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m - 8*m**2 + 1\/24*m**4 + 0 + 1\/3*m**3. What is y(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*((-770)\/40)\/(-7)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 226 + -26?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.056, -2, 9\/13, 0, -2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 120. Let d be i(0). Let x = d - -120. Solve -2*w + 3*s = x, -5*w + 3*s + 7 = -s for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 245674.29 months?\nAnswer: 20472.8575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -1\/24*d**6 + 1\/12*d**5 + 19*d**2 - 1\/42*d**7 + 5\/24*d**4 + 0*d**3 + 0 + 0*d. Solve s(o) = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 136, 212, 290, 370, 452?\nAnswer: 536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-170)\/51*3*(-1)\/(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 63 = 5*p, -3*p - 38 = -5. Suppose 2*w - 5*m - 68 = -w, 4*w - 3*m = 109. What is the remainder when w is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -66*n**2 - 5*n + 5. Let g(q) = -67*q**2 - 6*q + 6. What is 5*g(r) - 6*z(r)?\nAnswer: 61*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 + 2*g + 56 - 17 to the form r + l*g and give r.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.2 - -11.3. Let b = 48.42 - 0.42. Let h = b - 47.8. What is the closest to f in h, 4, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 28. What is the greatest common factor of 42 and j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 852605404 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -98, -422, -962, -1718, -2690?\n\"Answer: -108*f**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 2784983 (base 10) to base 11\nAnswer: 1632443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*u - 330*u = 812*u - 121293 + 22413 for u.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 94 = -5*l - 50, -3*g + 2*l - 398 = 0. Let u = -134 - g. Solve 4 = 2*v - u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -22*u**3 + 10*u**2 + 15*u - 30. Let n(s) = -7*s**3 - s**2 - 1. Let z(w) = -3*n(w) + v(w). Calculate z(14).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*c - 214*c - 95 = 0. Suppose -5*l + 208 = y, 4*y - 128 = -4*l + 32. Calculate the remainder when l is divided by (c\/3)\/(1\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**5 - 456*w**4 + 21704*w**3 - 20796*w**2 - 21706*w + 21252 = 0?\nAnswer: -1, 1, 66, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 438777689?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - 2*m)*(1 + 1 - 1)*(6*m - 6*m - m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 712134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Suppose z*f - 6 = f. Suppose -5*l = -4*g - 76, -3*l + f*g + 46 = g. Calculate the greatest common factor of 64 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -319, -4, -793.\nAnswer: -793, -319, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*f + 11323 + 3371 - 4104 = 0 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 1 + 0 = -g, 5*t - 3*g = 7 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/3 - 857*p + 10300\/3 = 0. Calculate p.\nAnswer: -2575, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of g**4\/4 + 13*g**3\/3 + 8*g**2 - 3*g + 1. Let h be m(-7). Let o = h - 81. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -953 = 96*l - 97*l - 5*f, 4*l - 3712 = 5*f. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 723298 to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Let w be -1 - z\/(-3)*0. Which is the nearest to w? (a) 0.2 (b) 4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692867 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40223825?\nAnswer: 5, 947, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2039487 litres in millilitres?\nAnswer: 203.9487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.017 + -1.183. What is the smallest value in n, -4\/3, 1\/9?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r - 4. Let z(f) = -2*f**2 + 2*f + 11. Let j be z(0). Suppose 2*h + 3*h = 2*y + 30, -y = 4*h - j. Calculate c(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 835 - 45 = -2*l, 0 = -l. What are the prime factors of w?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, -2\/3, 22, -5, 1\/4, 0.1 in descending order.\nAnswer: 74, 22, 1\/4, 0.1, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -57131.101 - -57094. Round r to 0 dps.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -27. Sort 1, -7, o in descending order.\nAnswer: 1, o, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*u = -117, 3*o + 57 = 4*o - 2*u. Suppose -3*s + 80 = -8*s. Calculate the smallest common multiple of (s\/(-24))\/((3 - 0)\/9) and o.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2129173 and -67\/4464395.\nAnswer: 138396245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ot when two letters picked without replacement from kkzoezzzeety?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-2\/21)*o)\/o)**(-10\/3))**22 assuming o is positive.\nAnswer: o**(440\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34299 and 53354.\nAnswer: 480186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (3 - (11 - 0)) + -7 - -18.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {l: 2, k: 1, n: 3, q: 1, x: 4, a: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**4\/13 + 25700*h**3\/13 + 82561250*h**2\/13 = 0.\nAnswer: -6425, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -965 divided by 193\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**5\/3 - 7*h**4 - 20*h**3 - 25*h**2\/3 = 0. Calculate h.\nAnswer: -5, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**4\/6 + 59*r**3\/2 - 850*r**2\/3 + 542*r - 520\/3 = 0. Calculate r.\nAnswer: 2\/5, 2, 13, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 4*t = 12 - 24, 5*v = 3*t - 26 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1704, -3609, -5736, -8085, -10656?\n\"Answer: -111*h**2 - 1572*h - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.6 + 2.4. What is the closest to 4 in r, -0.2, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a + 57. Is 2 a factor of f(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27694527750000*x**4 + 13852253880000*x**3 + 2495302200*x**2 + 149856*x + 3.\nAnswer: 3*(2*x + 1)*(16650*x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2499 and 93\/18772390.\nAnswer: 957391890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 80235.108 minutes in days?\nAnswer: 55.718825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 656. Let u be y(0). Find the second derivative of -659*o - 115*o**3 - u*o + 1360*o wrt o.\nAnswer: -690*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 59 = 14*z + 19 - 266, 117 = 5*z - 4*h for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/414 and 131\/180.\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbya when four letters picked without replacement from taktyytybkyykytbt?\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530181127.\nAnswer: 7, 31, 41, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*v**2 - 3*v**2 + 2*v**2)*(6 - 1 - 4)*(-1 - 2 - 1).\nAnswer: -48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1727697370 to the power of 1\/2, to the nearest integer?\nAnswer: 41566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -10. Find the first derivative of -l**4 + 3*l**4 + g*l**4 - 2 wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 139970938 and 4112?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 11*d**2 + 10*d + 17. Let z be k(12). Let q(o) = o**2 + 5*o + 1. What is the tens digit of q(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 650 and 29770.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd2d + 3ec?\nAnswer: d22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/2, -19, -3\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1618)\/16989*6\/7\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -31, -109, -259, -505, -871, -1381?\n\"Answer: -4*i**3 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 153 - 142. Differentiate -41 + 5*l - 11*l + 65*l - t wrt l.\nAnswer: 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19853 or -19854?\nAnswer: -19853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4c - -15?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 6*u - 2. Let f be n(-6). Is (3 + f)\/(1\/43) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5 = 0, 4*x - 10 = 3*x + o. Let s(c) = c**3 - 6*c**2 + 5*c. Let d be s(5). Put x, d, -1 in increasing order.\nAnswer: -1, d, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -9. Suppose s*n - 5 - 7 = -l, -2*l + 50 = -3*n. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(17) + 1) - sqrt(17)) + -2 - (sqrt(51)\/sqrt(3) + 2 + 2))**2 + (4*(sqrt(2448)*2 + sqrt(2448)))**2 + (sqrt(2448) - sqrt(2448)*3*4)**2.\nAnswer: 648992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-36)\/(-27)*(-2)\/((-8)\/90). Let d = -77 + n. Let c = 101 + d. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -699*k - 13. What is the tens digit of g(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 6*a - 3. Let d be j(4). Suppose -i + 5 = 0, 2*n = n - 4*i + 5. Let t = 32 + n. Solve 0 = -d*x - l - t, 0*x = -3*x - l - 11 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1947 + 3616. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(243) + sqrt(243) + 1 + -3 + 4 + -4)**2.\nAnswer: -144*sqrt(3) + 988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*x - 91*x + 1440 = 0. Let a = 41 + 0. What is the remainder when x is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 166*v - 1462. What is j(91)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/16668 and 5\/18.\nAnswer: 16668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -464 + 11642?\nAnswer: 11145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21462165 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 26*w - 1. Let i be q(3). Let l = i - 77. Suppose l = -7*x + 53 + 17. What is the smallest common multiple of x and 26?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2 = -n - 0*n, 5*q = -n - 4. What is the highest common divisor of n and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)*-1 - sqrt(35))*-2)\/(-2*sqrt(5)*-1).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7184*j - 35736*j + 7229*j - 24212*j - 17289*j - 5.\nAnswer: -77192*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2538916*a**4 + 0 + 0 + 2590794*a**4)*(1 - 1 + 1) as p*a**2 + z*a + h + v*a**3 + o*a**4 and give o.\nAnswer: 51878","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -696, -664, -612, -540, -448?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 + 17*g**2 + 58*g - 12. Let q be s(-13). Is 12 a factor of ((-74)\/3)\/(-8 - 715\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -2\/19, 3048, 161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/160 and 3\/33680.\nAnswer: 67360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 h when four letters picked without replacement from {m: 2, h: 3, a: 10}.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 779 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 q when two letters picked without replacement from {e: 2, a: 2, q: 1, g: 1, d: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of -4*(0 - -2)*(-2 + -20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240606875?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/2, -5, -456, -0.3, 14757?\nAnswer: -456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 309\/21 - (-4)\/14. Suppose -5*w + 2*t + 30 = -4*w, -t = w - l. Is w a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 385 - 386. Let q be -1 + (3 - 2) + 2. Let k be (-64)\/28 - (-4)\/q. Which is the nearest to -1\/2? (a) k (b) l (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19034 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + o + 3, 1 = -2*l + 5*o - 10. Find the third derivative of 10*v**2 - 15*v**3 + v**2 - 17*v**l - 18*v**2 wrt v.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5a89 (base 11) in base 5?\nAnswer: 223322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.39 + 5.39. Which is the nearest to 2? (a) y (b) 0.273 (c) -3\/2 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -278889727 divided by -4.\nAnswer: 278889727\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1218028*-119.\nAnswer: -144945332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -299139, -598059, -896979?\nAnswer: -1195899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-846)\/468 - ((-132)\/54 + ((-490)\/(-90) - 5))\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 211, 192, 161, 112?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12121001010 (base 3) to base 5\nAnswer: 12010414","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.65 - 0.6584. What is p rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13 (b) -0.4 (c) 9\/10 (d) -4 (e) -5 (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*f**3 + 3*f**3 - 29*f**3 - 34*f**3 - 15*f**3.\nAnswer: -62*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29941253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 20*h**3 - 2*h**2 + 23*h + 8. Let a(b) = -7*b**3 + b**2 - 8*b - 3. Let p(j) = 17*a(j) + 6*c(j). What is the remainder when 19 is divided by p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, e: 3, u: 3}. What is prob of picking 1 e and 1 i?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1636054457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 6051.\nAnswer: -6051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/(-475)*19)\/(2*9\/150)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20796874*p**3 + 362*p + 13329.\nAnswer: 124781244*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 5*t - 7605, 2*r + 25*t = 27*t + 3038. What are the prime factors of r?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 25 = 2*f. Suppose -2*j - 3 = -j, 4*u = -5*j - 15. Let g = u + f. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -69e72 + -2b?\nAnswer: -69e9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27343 + -27200. Calculate the highest common divisor of 91 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 7*u**2 - u - 2. Let n(j) = 3*j**3 - 11*j**2 - 2*j - 3. Let y(q) = 7*d(q) - 5*n(q). Give y(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1609*v + 1609*v - 701*v**2)*(-3*v + v + 3*v) to the form u + g*v + s*v**3 + x*v**2 and give s.\nAnswer: -701","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209571*x = 209598*x - 54. Let d = -9 + 19. Suppose 4*m - m = 2*y - 12, m + 4 = 0. Solve y = 2*v + v + 9, -d = 4*j - x*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -112*o + 285. What is the hundreds digit of g(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58399000 to the nearest 100000.\nAnswer: -58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1925, -1940, -1965, -2000, -2045, -2100, -2165?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 320220291 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-1432)\/179.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = c - 3*c. Suppose -3*a + 6 = -c. What are the prime factors of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**7\/147 - 894*t**6\/35 + 1795597*t**5\/70 + 599874*t**4\/7 + 1800964*t**3\/21 - 5168*t. Suppose n(r) = 0. Calculate r.\nAnswer: -1, 0, 1342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -624, -1246, -1868, -2490?\n\"Answer: -622*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -16*k + 11*k - 120, -4*k + 957 = -5*t + 1020 for k.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -4*x**4 + 3328388*x**3 - 923139502776*x**2 + 85330089188088112*x + 3158477246538894496 = 0.\nAnswer: -37, 277378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 747419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -38, -56, -72?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2, -5025?\nAnswer: -5025","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 11. Let c be d(8). Let h = -1 - 0. Sort c, h, 5 in decreasing order.\nAnswer: 5, h, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 36 = 5*k, 4*k - 2*y = 3*y + 12. Calculate the remainder when 30 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.05 - -0.05. Let n = i - -11. Let o = 533\/5 + -107. What is the closest to n in -3, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9e + -46?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*u - 3*u + 0*u)*(-59 + 65 + 111).\nAnswer: 351*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000001 - 110110100101?\nAnswer: -101011100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26095*w - 475*w**3 - 26095*w.\nAnswer: -475*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2073 = 98*t + 1779. Factor -6*g**2 - 6\/5*g**4 + 12\/5*g + 0 + 24\/5*g**t.\nAnswer: -6*g*(g - 2)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000175227043 rounded to seven dps?\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1064 - 669. Suppose -t + 5*b + 386 = 0, 4*b + r = t + 8*b. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3526.\nAnswer: 1\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 69078904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by (10\/(-15))\/(40\/(-540))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75993 divided by 3?\nAnswer: -25331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946?\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 33974043667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 30643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/4))**(10\/17)*(m*m**(6\/5))**(-10\/7) assuming m is positive.\nAnswer: m**(-853\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*i**3 + 53*i**3 - 58*i**3 + (4*i**3 + 2*i**3 - 4*i**3)*(3 - 2 + 1).\nAnswer: -95*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 68. Suppose 5*v - 21 = -3*i + 14, -26 = -4*v - 2*i. What is the highest common factor of p and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + 847\/(-3))\/(0 + -2). Let r = j + -5426\/39. Are 0 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 21573 (b) 1\/4 (c) -6 (d) -10 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1156? (a) -9 (b) 0.2 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 57. Solve -2*k + 5*k = w + u, -5*k = -15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(560)*2 - sqrt(560) - sqrt(560)))\/(2*sqrt(21)\/sqrt(3) - (sqrt(567)*-2 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -8836*x - 109. What are the prime factors of a(-3)?\nAnswer: 26399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 2*p**2 + 3*p + 3. Let g be n(3). Solve 5 = -2*u - g for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3296*q + 4148*q + 732*q + 5887*q as k*q + z and give k.\nAnswer: 14063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let q = 19711695 + -19711693.0000038. Let i = q - f. Round i to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 7*r**2 - r + 8. Let x be z(-7). Solve -2*m + x = -7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15712*o - 3648 = -15864*o for o.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 10*s - 7*s)*(-53*s**3 + 0*s**3 - 40*s**3) + s**2 - 3*s**4 - s**2.\nAnswer: 1020*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cfffgffggffcffhhfkf. What is prob of sequence hcgf?\nAnswer: 11\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/125)\/(-2*3\/(-15)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 41418*w + 142954227 = 0.\nAnswer: 6903","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 9*v - 4*v = -25, -z - 1 = -2*v. Let i(j) = -2*j - 6. Let x(q) = 2*q - 2. Let h(l) = -3*l + 1. Let b(y) = h(y) + x(y). Determine z*b(g) + i(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.099*-2318.\nAnswer: 9501.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**6\/120 - k**5\/15 - k**4\/12 + k**3\/3 + 24*k**2. Let u(s) = -3*s**3 + 9*s**2 + 5*s - 5. What is 5*a(q) + 2*u(q)?\nAnswer: -q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 3. Let t(u) = -u**2 + 1. Let o be t(1). Suppose l - 3*l + f = o. Solve 3*i = 4*i + l for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1058*j = 1054*j - 5*f - 25, -3*j - 2*f = 17 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*n + 7. Suppose -a + 4640005 = -4*v, v - n*a = a - 1160025. Round v to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven halves of a kilometer?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 - 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 37 and 9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 650, 817, 988, 1163, 1342, 1525?\n\"Answer: 2*q**2 + 161*q + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -8*l**3 - 2*l + 3 - l + 9*l**3. Let k be d(2). Let f(m) = -9 + 2 + k + 2*m**2. Calculate f(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/17, -2, 2.281, -5, -2\/15, -29\/2?\nAnswer: 2.281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 124805248 and 0.22?\nAnswer: 124805247.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13043823*b*k + 68251*b + 176 wrt k?\nAnswer: -13043823*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - t + 15, 2*l - 5*t = -42 - 3. Is (54\/(-15))\/(4\/l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxvx when four letters picked without replacement from {x: 5, v: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 5 + (-4 - -19) + -7\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*o = 26 - 26 - 78 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -102. Suppose -160 = -4*s - a*s. Which is smaller: 41 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 15*x + 2. Let b be m(14). Suppose 0 = -b*l - 854 + 3990. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 4*w + 1 + 2*w - 5*w. Let m(n) = -5*n**2 + 8*n - 7. Let u = -35 - -29. Let s(b) = u*d(b) + 3*m(b). Find k such that s(k) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 21 = 5*l, v + 0*v + 4*l = 0. Let d = 8 - v. What is the remainder when (-4)\/8 - (-66)\/d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -220*y**2 - 2*y - 39. Let w(g) = -g**2 - g + 1. Let z(a) = 2*w(a) - x(a). Differentiate z(l) wrt l.\nAnswer: 436*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the second derivative of z**4\/3 - 5*z**3\/6 + z**2\/2 + z. Let p(b) = -7*b**2 + 6*b + 4*b - b - 2. Let x(g) = 3*p(g) + 5*q(g). Factor x(f).\nAnswer: -(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5838207 is divided by 7826?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 668 and 38911.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178*5.\nAnswer: -890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 2*p - 9. Let u be n(-2). Solve 0*w + 5*w + 4*o = 20, -5*w + u*o = 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134 (base 6) to base 16.\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3 + 2 - 5*n - 6*n + 2 + 6*n. Suppose -t + 5 = -2. Suppose -5 + 1 = -f. Let d(s) = 3*s - 4. Determine f*m(l) + t*d(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110531445 (base 6) to base 8.\nAnswer: -7507425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8032 (base 13) to base 11\nAnswer: -12266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 25*h - 10. Let r be t(12). What is the second derivative of 2*b**2 + 154*b**4 + 21*b - r - 311*b**4 + 160*b**4 wrt b?\nAnswer: 36*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, 1803, 243 in ascending order.\nAnswer: -9, 4, 243, 1803","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 33*g**3 - 8*g**2 - 8*g - 252. Let b(v) = 11*v**3 - 3*v**2 - 3*v - 84. Let t(u) = -8*b(u) + 3*z(u). Differentiate t(w) wrt w.\nAnswer: 33*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 10, x: 2, y: 3}. What is prob of picking 2 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(684)*-3 + -4 - (1 + ((sqrt(152) - 3*sqrt(152))*3)\/sqrt(8)))**2*2.\nAnswer: 2040*sqrt(19) + 395402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 201631?\nAnswer: -201634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6886?\nAnswer: 2, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 540, -16.\nAnswer: -16, -4, 3, 540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -23*b**3\/3 - b**2\/2 + 2*b. Is o(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -5.4 (c) 2 (d) 5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 + 32?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1992909760073 take away 11?\nAnswer: -1992909760084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/(-30) + (-12)\/5. Put 1, 0, 3, y in ascending order.\nAnswer: y, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/1208242224 and -53\/12.\nAnswer: 1208242224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4251, -4194, -4107, -3996, -3867, -3726, -3579, -3432?\n\"Answer: -x**3 + 21*x**2 + x - 4272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhhhphhphhh?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -2\/5*a**5 + 1\/2*a**4 + 7\/2*a**2 + 8\/3*a**3 + 2*a - 6 - 1\/6*a**6. Find y, given that u(y) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 4*m**2 - 7*m + 2. Let u be b(-5). Suppose -5*v - 163 = -538. Let k = v - u. What is k rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 6*u**2 + 2*u + 15. Let s be n(7). Let y be (s + -1 + -2)*-5. Suppose 4*g - y + 15 = 0. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 198.1 - 200.7. What is the second biggest value in -0.3, z, 0.2, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 745 - 705 = 0. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 729244020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 14, 1, 2\/11, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*r - 37*r - 12*r = -827484. What is the hundreds digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 b when three letters picked without replacement from iaiggibi?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.65 - 4.55. Let z = y - -3. Let d = -0.900045 - z. What is d rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2992 + 17863\/6. Let s(c) = -2405*c - 1. Let t be s(2). Let b = t - -52885\/11. Find the common denominator of b and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.521 - 1.231. Let h = 0 + 1. What is the third biggest value in r, h, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 208.\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0*h**3 + 2 + 2*h**3 + ((-2 + 1 - 1)*(-29 + 29 - 208*h) + 18*h - 7*h - 9*h + 17)*(-3*h**2 - 2*h**2 + 4*h**2) as o*h**2 + t*h + c*h**3 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11, 29, 65, 125, 215, 341, 509?\n\"Answer: v**3 + 3*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -118*n**2 + 1. Let y be s(1). Let i(b) = -b**2 - b + 6. Let x be i(5). Is y\/(-12)*x\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 4 - 3*f**2 - 4*f**2 + 1 - 4*f**2. Let l(m) = 6*m**2 - 2. Suppose -3*k = 4*y - 3 + 1, -y = -k + 3. Calculate k*s(j) + 5*l(j).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*q = -5*l - 42, 2634*l - 2638*l - 18 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 301264 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*v**2 - v**2 + 0*v**2) + 135*v**2 - 30 - 537 - 136*v**2.\nAnswer: -4*v**2 - 567","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43 + 41. Let h be 0 - (4\/8 - (-17)\/s). Calculate the highest common divisor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2309642 is divided by 2309611?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*q + 15 = -9*q, 0 = 2*k - 5*q - 6. Suppose -5*z = -4*d, 3*z = -2*d + 3*d. Solve 10\/7*o**k - 8\/7*o**4 - 2\/7*o**2 + 0*o + z = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 17, 71, -2 in descending order.\nAnswer: 71, 17, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 70 - 6 = -34*l. Sort l, 136, 4 in descending order.\nAnswer: 136, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 5162?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*g - 4*g + 1432 = -3*g - 388 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 + 31. Suppose u*a + 28 = -4*a. Let f be (-24)\/a + (-13 - -9). Sort f, 0.5, 2.\nAnswer: f, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5962.83 millennia?\nAnswer: 71553960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -5 (c) 1.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -e?\nAnswer: -e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 11*j + 3. Let q be f(6). Let h(o) be the second derivative of -2*o**3\/3 - 2*o**2 - 74*o - 2. What is h(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22b21 (base 13) in base 10?\nAnswer: -63402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*4\/4*5\/(-325)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from ssssszszssz?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9766 - -0.0734. Let x = -1 - -0.72. Let a = x + w. What is a rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3350903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = -u + 25, u - 5*k = 13. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from eeeereeeeeee.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6d + -49?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1.6, -3\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -1\/2*a + 1\/4*a**2 - 3\/4 = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15046?\nAnswer: 2, 7523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104345133 (base 6) in base 7?\nAnswer: 22054242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4678 is divided by 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 - 336 = -83*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48 - 43. Let a = 8960\/11 - 814. Sort a, j, 4.\nAnswer: a, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2701 + -2696. Let y be (-4)\/12 - 38\/(-6). Suppose 2*j = y*j - 72. Solve -i*r - 5 = -2*w + j, -5*r = 5*w + 30 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-14)\/(f\/(f*f**(-34)*f)) assuming f is positive.\nAnswer: f**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001495451 rounded to 7 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(1934*h - 2139*h - 1842*h).\nAnswer: 4094*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 4*b**2 + 2*b - 12. Let a be i(-5). Solve 0 = 4*h + a*n + 31, -h + 0 + 1 = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(3\/(-4)*2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*i - 635 = 0, -4*i - i + 254 = -2*g. Let m = g - -179. Suppose -99 = -s - 81. Calculate the remainder when m is divided by s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 338244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, 846, 2157, 3892?\nAnswer: 6051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 1928*u**4 - 7722*u**3 - 11588*u**2 - 7727*u - 1932.\nAnswer: (u - 1932)*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from moooomooooommoomooo. Give prob of picking 2 m and 2 o.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.064 rounded to 3 dps?\nAnswer: -0.064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/11 + 50*r**3\/11 + 717*r**2\/11 + 2300*r\/11 + 2116\/11 = 0?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 720 + -740. Let b(z) = z**2 - 9*z - 44. What is the smallest common multiple of 14 and b(r)?\nAnswer: 3752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 394*p - 2041 + 943*p + 44*p + 1020 + p**2 + 1022 to x*p**2 + f + h*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-1)\/(-36))\/((-43)\/(-6837)) and (-43)\/(-20)*2\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(32\/36)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4305 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-6)*(0 - 2). Let l be s\/(-5) + (-78)\/5. Let q = l + 26. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(30\/(-9))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 430*k - 3 + 3 - 473*k. Let g(m) = -2*m**2. Determine g(c(y)).\nAnswer: -3698*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14364.7+-4059\nAnswer: 10305.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = 28 - 43 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(21\/4 + -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:34 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.1, 4, -0.006, 14, 0.1, 2.\nAnswer: -0.1, -0.006, 0.1, 2, 4, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 13. Suppose -w*o + 3*p + 2271 = 0, 3*o - 2*p - 2275 = 2*p. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12331698 and 11\/272.\nAnswer: 98653584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/735 and -79\/66.\nAnswer: 16170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 19*n + 21. Let h be p(-18). Suppose 0 = -h*i + 2*u - 6, i + 3*u = 6*u - 2. Which is greater: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 6*z + 1028. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2 - 9 - 1964*q**2 + 1983*q**2 - 4 + 2*q - 1. Let c(z) = -2*z. Determine d(c(y)).\nAnswer: 76*y**2 - 4*y - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 300505*-60.9.\nAnswer: -18300754.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 - 0\/(-3 + 2) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5203132?\nAnswer: 2, 11, 118253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - 344100?\nAnswer: -344101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7 - 2.6526.\nAnswer: -4.3526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*i, 5*t - 5*i = -6*i + 17. Let r(p) = 11*p**2 - 3*p + 1 + 4*p + 4*p - t*p. Give r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, i: 2, u: 6}. Give prob of picking 1 u and 3 o.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72985 = -2154*n - 47*n - 15610 + 54876 for n.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -668?\nAnswer: -672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 525.4 - 525. Which is the closest to 2? (a) -2\/17 (b) h (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -46a?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 444 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 6. Let u be q(9). Suppose 14 = -u*a + 17. Let i(x) = x + 8. Let r be i(-6). Which is bigger: r or a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333633.8 kilometers in centimeters?\nAnswer: 33363380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 379*a - 767. Determine y(-20).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + 5\/(-1) - -6. Let d(y) be the second derivative of 0 + 0*y**2 + 1\/24*y**3 + 2*y - 1\/48*y**m. Factor d(w).\nAnswer: -w*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24810863 is divided by 800350.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6770, 13534, 20288, 27032, 33766, 40490?\n\"Answer: -5*i**2 + 6779*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 33*m - 8. Give y(-3).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11144?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-127)\/(-14605))\/((-4)\/40)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 - (2 + -4)) + (16 - 3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (50 + 0)*(-2)\/(-5). Solve -m + y = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 136 - 152. Suppose -33 = -2*c - c. Let w = c - z. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -536, 53, 5\/7, 1 in descending order.\nAnswer: 53, 1, 5\/7, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5*z + 3*x + 10, 0 = -4*z - 3*x + 36. Solve -3*a + z*b = 2*b + 25, -a - 7 = -b for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(15\/(-2)))\/(-6*(-38)\/(-6840))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150 - 573 + 18)*(0 + 4*f + 0 + (2 + 3 - 3)*(0*f - 5*f + 3*f) - f - 5*f + 4*f).\nAnswer: 1410*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/3*w**2 - 12 + 8*w.\nAnswer: -4*(w - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 - 5*o + 3. Let q(t) = -t. Let w be q(4). Does 7 divide r(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.039 and 9?\nAnswer: 0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 979767.3 decades?\nAnswer: 9797673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1476777?\nAnswer: 3, 89, 5531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -36, -3, -5\/4, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/(-24))\/((-45)\/40))\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.653624 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/11)\/d**(1\/6) assuming d is positive.\nAnswer: d**(1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66213242 + -1?\nAnswer: 66213241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 73*k**2 + 68*k**2 - 4.\nAnswer: 141*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -368779*x**3 + 501537*x**3 + 837404*x**3.\nAnswer: 970162*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 208.000286 + -208. What is z rounded to five dps?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4158599 to the power of 1\/2, to the nearest integer?\nAnswer: 2039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000486 to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 383\/18 + -15311\/720. Let w(m) be the third derivative of 17*m**2 + 0 + 0*m - 9\/2*m**3 - 1\/5*m**5 + x*m**6 + 21\/16*m**4. Factor w(s).\nAnswer: 3*(s - 3)**2*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597684550 a multiple of 2135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -23*y**2 - 14*y + 23. Let b(k) = -30*k + 7*k**2 - 8 + 35*k + k**2. What is 17*b(x) + 6*c(x)?\nAnswer: -2*x**2 + x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -1. Let j = a + 1. Let u be j*(1 + 2\/(-4)). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6*4\/4 - 0. What is the second derivative of x*a**4 + 0*a**4 + 3*a - 24*a wrt a?\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.8, 8\/369 in decreasing order.\nAnswer: 0.8, 8\/369, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/319 and 89\/6.\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 12:49 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_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 comes next: -141545, -283093, -424643, -566195, -707749?\nAnswer: -849305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 - 6*u + 9. Let l(g) = g**2 + 6*g - 10. Let r(s) = 6*l(s) + 7*z(s). Let i be r(-6). Solve -v - 1 = -4*d - 3, -3*d - i = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -0.2424, -496, 5?\nAnswer: -0.2424","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5630 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 6 + 3. Let h be p + 6*3\/6. Suppose 2 = -i + h. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 8*o + 2*z = 4300010, -3*z + 8600015 = -4*o. What is o rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-5 + (-22)\/(-4))*-136. Let t = z + -63. Solve 3*a - 5 = 2*h, -t*h - 8 = a - 4*a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -5099*m**5\/60 - m**4\/3 - 12*m**3 + 46*m**2 + 2*m - 9. Find the second derivative of j(a) wrt a.\nAnswer: -10198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11740 and -82781.\nAnswer: -71041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84074702857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**3 - 123*o**2 + 181*o. What is a(60)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*m = 21 - 9, 4*v - 12 = -4*m. Solve 4*l = v*o + 5*l - 7, 3*l + 9 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 1) + (1 - 14). Let w = 1631 - 1661. Let c(n) = n**2 + 33*n + 78. Let q be c(w). Do q and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*d = -5091 + 41739, 5*n = -d - 45810. Does 7 divide (2\/(-6))\/(2\/n*3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 4 (b) -11.4 (c) 17 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of f**3 - 318*f**2 + 33708*f + 282. Factor q(k).\nAnswer: 3*(k - 106)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 9:27 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -182, -324, -420, -464, -450?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7296608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-525)\/(-490)*28\/48.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*u - 3 - 92*u + 198*u.\nAnswer: 24*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnih when four letters picked without replacement from jjnmimhmmmnjhhmh?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34147 + -64.664.\nAnswer: 34082.336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*i + 603 = 0, -y - 4*y - 4*i + 3015 = 0. Suppose -y = 26*q - 29*q. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 151236\/9215 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*j - 7770 = -5*g, -3*j = 15. Let z = 736 - g. What is z rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 77365606 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 74*w**2 - 6*w - 103. Let k(p) = 72*p**2 - 4*p - 101. Let y(l) = -4*k(l) + 3*n(l). Find the first derivative of y(c) wrt c.\nAnswer: -132*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36522943.\nAnswer: 653, 55931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 7*w + w)*(2 - 4 + 4) + 8 + 5*w - 8*w + 4.\nAnswer: -17*w + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10463366707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m - 3*m**4 - 2*m**2 - 52 - 2*m - m**3 + 51 to x + r*m**3 + q*m**4 + v*m**2 + o*m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 46.0297 - 0.4\nAnswer: 45.6297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129731*114.\nAnswer: 14789334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7058\/3 - 2342. Let -2\/3*d - 2\/3 + 32\/3*d**2 + x*d**3 = 0. What is d?\nAnswer: -1, -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*o + 5*q - 2 = -179*o + 2*q, -4*o = -4*q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117776933?\nAnswer: 107, 467, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45608 - 1824411\/40. Calculate the common denominator of -11\/15 and j.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z - 24*z**2 - 4*z**3 + 24*z**2)*(0*z - 3*z + z) as x + c*z**3 + l*z + b*z**2 + q*z**4 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -2*f - 6. Let h be d(11). Let b = h + 34. Suppose -19*n + 14*n = -40. Calculate the remainder when n is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75*1\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1983)\/(-1322)*8\/3. What is z in -45\/7*z**2 + 54\/7*z - 9\/7*z**r + 0 - 48\/7*z**3 = 0?\nAnswer: -3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30803 divided by -1.\nAnswer: 30803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.77.\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 10*a - 11. Is f(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -13*v**3\/3 - 46*v - 19. Let j(g) = -27*g. Determine -3*d(u) + 4*j(u).\nAnswer: -30*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/256)\/(30\/(-24)*(-3)\/(-45)).\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37538 + 21.9?\nAnswer: 37559.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + 530b?\nAnswer: 52b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**17*o*o**(-12) assuming o is positive.\nAnswer: o**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17238951?\nAnswer: 3, 1915439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1353461 is divided by 1353436?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 274491338 and 2684.\nAnswer: 1342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219*a + 5*q = 218*a + 12, q - 12 = a. Put -4, a, 6, -2, 1 in decreasing order.\nAnswer: 6, 1, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (18 - 2 - 5 - 2).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 45*d - 1486. Calculate f(33).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 51 = -w + 53, 5*w = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 - 2 - 1 + 2 + (-2 + 8 + 4)*(5 - 3 - 3))*(2*f + 0*f - 4*f).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15187*k - 24866*k + 13392*k)*(-1 + 3 - 3).\nAnswer: -3713*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 30064*q**2 - 67940*q**2 + 11933*q**2 in the form c + x*q + a*q**2 and give a.\nAnswer: -25943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 33 (b) 24280 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/72*990\/(-40)*-4*1\/4.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-23658)\/(-440) - (40\/(-25) + 1). Let z = w - 636\/11. Let q = -11691 - -186969\/16. What is the common denominator of q and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1370*c**3 - 144*c - 336*c**2 + 107*c**2 + 144*c wrt c?\nAnswer: -8220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -t**3 - 338 - 123*t - 2*t**3 - 24*t**2 + 25*t**2 + 122*t to the form a*t + j*t**3 + o + x*t**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6265150 to the power of 1\/2, to the nearest integer?\nAnswer: 2503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/9107343 and 145\/1156488.\nAnswer: 72858744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 131509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -158 by -15533.\nAnswer: 158\/15533","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m. Let y be n(2). Let v(t) = t**2 + 6*t + 4. Let k be v(y). Solve 3*j + k*s = 15, -5*j - 2*s = -7*s - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3201?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 3. Let g be z(6). Let 10 - 4*q**4 - 5*q**2 - 10*q - 5*q - q**4 + 15*q**g = 0. What is q?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - r - 35987 = 154445, -5*a + 238055 = -5*r. Is -5 - (45\/9 - a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 106540.598 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2121*q + 151*q + 56523 = 14361 - 16910 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Suppose 4*k = i + 5, -8 = -2*i - 0*k - k. Let g(f) = i*f + 3 - 3 - 4*f. What is g(n(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/17, 3\/4, 0.5, 29, 0.4 in decreasing order.\nAnswer: 29, 3\/4, 0.5, 0.4, 4\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.135 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of -k**4\/4 + 3*k**3\/2 - 3*k**2 - 5*k. Solve z(r) = 0 for r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 92*u**2 - 86*u + 515. What is the tens digit of n(-92)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - (3 + -7*9). Find the common denominator of -2 + x\/2 - -3 and 88\/6*(-9)\/(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 3*p - 3. What are the prime factors of v(8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1109 is divided by 376?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z**2 - z. Let y(h) = -391*h + 17*h**2 - 22*h**2 + 393*h. Calculate 3*s(t) + 4*y(t).\nAnswer: -2*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -3182 and -2452 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, -9\/8, -391264, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -5. Let u be y*(0 - 1) - 0. Suppose -x + 9 = u. Solve 4*t + x = -0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3705 and 29949985.\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 37 = 89. Suppose 3*u - 65 + 44 = -2*c, 4*c + 5*u = 55. Calculate the least common multiple of c and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -423 and 28.\nAnswer: -11844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 10*z**2 + 46*z - 18. What is s(3)?\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-1))\/(2\/(-2)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 113*s - 348. Let v be z(3). Solve v = 4*d + 8*d + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 247202, 494407, 741640, 988913, 1236238, 1483627, 1731092, 1978645?\nAnswer: 2226298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22904.8 + 22905. Let k = -12 + 11.9. Which is the closest to m? (a) -2 (b) k (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 2469, 0.3, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (1 + 7 - 49) - -38\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - f = s - 978 + 993, 0 = 5*s - 36*f - 169 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*y = -162*y + 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 + 1 - 134) + 115?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7685 and 636.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15986052 to the power of 1\/2, to the nearest integer?\nAnswer: 3998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 1 + 350 + -348. Suppose -6 + 0 = t. Is r at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 226.9 - 227. Let t = 0.013 - -0.187. Let p be -3 + 0 + 12\/5. Which is the third biggest value? (a) t (b) q (c) p (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.272 - -2.2719711. Round t to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 0.6. Let q = 19 + -3. Let s = q - 18. Put s, -5, x in increasing order.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44784.82ug in nanograms?\nAnswer: 44784820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*h**2 - 4\/3 + 0*h**4 + 8\/3*h**3 - 2\/3*h**5 - 2*h = 0. What is h?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (-59 + 83 - 71).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141351 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*o + 190*o = -429 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0.1. Let q be 2\/5 - (-216)\/(-15). Let x be 17*2\/q - -2. Which is the nearest to d? (a) -1 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65299.7 millilitres to litres.\nAnswer: 65.2997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1289480706?\nAnswer: 2, 3, 71637817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1633744 and 19952.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-52)\/1287)\/((-22)\/198)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1146 is divided by 322?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57575, 230307, 518191, 921227, 1439415?\nAnswer: 2072755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -1 (c) 1 (d) 7.3 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 437.4033t?\nAnswer: 437403.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 22428898.\nAnswer: -22428898.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - -5) + (-7 - (-12 + 20 + -5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*a - 51. Let d = -4 + 8. Calculate the remainder when 1 - 0 - (d + -41) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 4:59 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273*v - 44 = -3*z - 277*v, 0 = 4*z - 5*v - 38. Solve -z*r + 112 = 16*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/78 and -113\/516.\nAnswer: 6708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -46. Suppose 5*m - 4 = 3*m. Put 3, m, z in decreasing order.\nAnswer: z, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 249, -1\/2 in decreasing order.\nAnswer: 249, 6, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -173698490153\nAnswer: 173698490152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.12 = -1\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n**(-1)\/n)))**(-7)*(n*(n*n\/n**(-2)*n)\/n)**(-7\/4))\/((n\/n**(-1\/5))**(-11)\/(n**(-1)*n*n*n**(-8)\/n)) assuming n is positive.\nAnswer: n**(69\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-60)*7*(-5)\/(-70).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 4 = z + 5*n, 4*z - 4 = 4*n. Suppose -310 = -3*v + z*v. What is v rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let v(p) be the second derivative of -5*p**4\/12 + p**3\/3 - 23*p. Let g(f) = 14*f**2 - 7*f. Let o(k) = 2*g(k) + 7*v(k). Give t(o(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1172 (base 9) to base 11\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:32 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 28, 5, 150 in descending order.\nAnswer: 150, 28, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by 227.\nAnswer: 35\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 8 - 24 + 3*z + 2*z**4 + 12 - 3*z**3 to the form u*z**4 + x*z**3 + g + t*z + m*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/7 - -2 - (-14*330\/(-308) - 22)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10 - 9) - (0 + 1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 4. Is 16 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 51.3. What is the third biggest value in 2\/23, 1, g?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2125)\/(-6875) + (-12)\/(-11).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*i. Suppose -c + 3*w + 2*w + 52 = i, -4*c - w + 271 = 0. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 70416.34ng?\nAnswer: 0.07041634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 11:42 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.6 and 0.851.\nAnswer: 2.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from gvbvmededbdv?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*j + 5*v, v + 4 = 4*j - 0. Let l(u) = u**3 + 7*u**2. Suppose -3 = 3*t + 18. Let m be l(t). Is j >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 962 - 964.058. What is d rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g**2 - 4856 + 4856.\nAnswer: -22*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38685413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - -3. Suppose -3*n + 5 = v*k - 79, -3*k = 5*n - 140. Solve -3*s = 5*h - n, -h - 3*s - 17 = -5*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*o + 49*o + 72*o)*(19*o - 16*o + 2 + 4) in the form j + h*o + w*o**2 and give h.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 384, 1118, 2542, 4890, 8396?\nAnswer: 13294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - 3 - (1 + -2) - -2. Let y be k\/21 - (-11)\/(462\/12). Which is smaller: y or 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -3 - 13. Let q = c - -10. Suppose 2*s - f - q*f - 20 = 0, 0 = -5*s - 4*f + 27. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2.5. Let m = -0.65 - 1.09. Let o = 1.04 + m. What is the third biggest value in w, -0.5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**0\/l*l*l*l)**(-35)*l**(1\/3)\/(l*l**(1\/4)) assuming l is positive.\nAnswer: l**(-1271\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5260388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 9:19 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 3*z + 4*c - 15, 3*c = -15. Sort 4, 16, z, 3 in descending order.\nAnswer: 16, 4, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -129\/170240 and 127\/1008?\nAnswer: 1532160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4538340\/260 - (32\/(-56) + (-66)\/(-91))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/(-798)*(1 + 1395\/2). Let l = 8\/19 + g. Find the common denominator of l and 10\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4835 = -4*t + 3565, 4*z + 4190 = 2*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - s - 9*s)*((0*s - 2*s + 4*s)*(1 + 2 + 0) - 4*s + 3*s + 0*s - 2*s + 2*s + 5*s)*(3 - 6 + 2)*(-3 + 2 + 0) in the form u + b*s + y*s**2 and give y.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(80) + 0)*4)**2 - sqrt(80) - (sqrt(80) - -3*(1 + sqrt(80)))).\nAnswer: -20*sqrt(5) + 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -10592319\nAnswer: -1\/3530773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*f + 87, 56 = 4*f + 10*w - 15*w. Calculate the highest common divisor of 1349 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t - 2. Let u(w) = -w. Let a(o) = -5*u(o) - v(o). Let x be a(5). Determine b so that 5 + 27*b - 6*b**2 + 11*b**2 - x*b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 6 (c) 2\/11 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i + 11. List the prime factors of n(-19).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v*v*(v\/(v\/(v\/(v*v**(-10)))))\/v)\/v*v**7*v*(v*v**2)**23)**(-10\/9) assuming v is positive.\nAnswer: v**(-890\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000081413 to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -749 + 859. Calculate the highest common divisor of m and 385.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiaaaiaaaaa. What is prob of picking 1 i and 3 a?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 10780.\nAnswer: 97020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8.91 and -77.\nAnswer: -85.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-224)\/20)\/1*6723\/26892.\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2733?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 118*f**2 + 352*f**2 - 123*f**2 - 116*f**2 + 35*f**3 to w + r*f**2 + j*f + k*f**3 and give k.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/4)\/(1\/(-10)). Let i be -9*5*(-12)\/180. Suppose i*q + 4*d = -16, 2*d + 8 = 5*q - 3*q. Solve q*z + w = -5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - -15. Let s be -5 + -3*12\/(-9). Let h = s + a. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -200 - -123?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5275 and 327770565.\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.4926 - 1.40549. What is a rounded to 3 dps?\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.24 + 5. Let b = l + -2.76. Let q = -185\/1393 - 2\/199. What is the smallest value in q, -0.2, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5\/7 + 28132*w**4\/7 + 50682040*w**3\/7 + 4227904864*w**2\/7 - 15765816320*w + 15154585600 = 0.\nAnswer: -3472, -110, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lilliiiililil. What is prob of sequence liii?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1009603?\nAnswer: 1009603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409737.4 - 12830.77?\nAnswer: 4396906.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -213627, -427259, -640889, -854517?\n\"Answer: v**2 - 213635*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = 119*t + 10379642 - 10380384 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of -13\/42*m**7 + 0*m**6 + 12*m + 0*m**2 + 31\/12*m**4 + 0*m**3 + 0 + 0*m**5. Find the third derivative of r(p) wrt p.\nAnswer: -780*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q - 26 = 76. Let i(a) = a**3 + 16*a**2 - 17*a + 3. Let u be i(q). Solve u*b + 5 = -10 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 4*k)*(-644 - 397 + 1430 + 1420).\nAnswer: 5427*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -5 + 5 - 2*t. Let y(v) = -2*v**2 + 16*v - 4. Let r(c) = -c**2 + 12*c - 3. Let m(l) = 4*r(l) - 3*y(l). Give i(m(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3\/272 - -133\/272. What is the fourth smallest value in d, 3, 7\/6, -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 422*r**3 - 141*r**3 - 3*r.\nAnswer: 281*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 222 - 23 = 0. Suppose -28 = 3*f - y. Calculate the greatest common divisor of 19 and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 821 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a - 14. Let m(h) = 14*h + 42. Let p(y) = 17*c(y) + 6*m(y). Let n be p(12). Is (n\/5)\/(3\/75) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = 2*x + 3 + 3, -2*n - 5*x = 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x + 3*x)*(3790*x**2 + 131232*x - 131232*x + (3*x + x - 2*x)*(-4 - x + 4)).\nAnswer: -3788*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 3*o - 10. Let v be (((-4)\/(-2))\/2)\/1. Let b(s) = 1. Let m(q) = v*n(q) + 6*b(q). Give m(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*v - 3*v. Suppose -2*b - 3*z = 10, -v = 2*b + 2*z + 4. What is the biggest value in -1\/5, -0.4, b?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 55 = 5*z, z - 60 = -4*z + 2*a. Let d(p) = 5*p**3 - 2*p**2 + 8*p - 7. Let g be d(1). Does 13 divide 1155\/z + (-6)\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33525993.784 + -9083\nAnswer: -33535076.784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433798015 and 445.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**4\/6 + 3*v**2\/2 + 71*v. Let a(l) = -25*l**2 + 40. What is -3*a(q) + 40*s(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*9 - (70\/(-5) + 22))*5. Sort 726, -6, r in descending order.\nAnswer: 726, r, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 13*h**2 - 12*h + 13. Let w be a(-12). Solve 0 = w*q - 17*q - 12 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 348*u - 321 = 906 - 183 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -482 times -236?\nAnswer: 113752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 131 + 13. Let u = 258 - g. List the prime factors of u.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -5*o - k, o - 3*k + 1 = 5. Let i(p) = p**3 - 4*p**2 + 5*p - 4. Let g be i(3). What is the remainder when o is divided by 2*((g - 3) + 3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 64*d**2 + 13483*d + 8804. Give p(-210).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2132 - -3141?\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/3 + -1)\/((-56)\/28392). Let s = -1689\/5 + r. What is the biggest value in 4, s, 15, 3?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33*41\/451)\/((2*7)\/(11\/(-11)))?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 2*t + 0*t)*((5*t**2 - 3*t**2 + 0*t**2)*(-1 + 1 - 2) + 174 - 68 - 26974*t**2 + 26963*t**2).\nAnswer: 15*t**3 - 106*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -276175.3 to the nearest 1000.\nAnswer: -276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 2, 9\/13, 4, 0.019356?\nAnswer: 0.019356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -4. Let r = 0.74 - -3.26. Which is the nearest to h? (a) -1\/2 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*b = -89 + 29, -d - 3*b = -31. Suppose 5*p - d = -i, -5*p + 2 = -4*p. What is the highest common factor of i and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5981 - 53758\/9. Let r be (-664055)\/36570 - (0 + 4). Let h = r - 10\/1219. Calculate the common denominator of h and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3bd - -16107?\nAnswer: 164c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 - 40 + 4125*u - 3 to the form j + r*u and give r.\nAnswer: 4125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.2 - 26.2. Let h = 23.2 + k. Let o = 69 + -70. Sort -2, -2\/7, o, h in descending order.\nAnswer: h, -2\/7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**3 - 5*a**2 + 5*a - 5. Let y(l) be the first derivative of 49*l**4\/4 + 28*l**3\/3 - 14*l**2 + 28*l + 882. Give 28*q(p) + 5*y(p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855995 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -5 + 3*x - x + 7*x - 3*x - 3*x. Calculate k(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284 and 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p. Let s(t) = -3598*t + 3599*t + 2 - 2. Let l = 7 - 5. Let b(v) = l*s(v) - 3*k(v). Let i(a) = -2*a. What is i(b(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 5, 330, 73, 24 in decreasing order.\nAnswer: 330, 73, 24, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -8*z - 67. Let u be t(-8). Let q be (-13)\/u - (12 + -8). What is the smallest value in 5, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83800000 rounded to the nearest one million?\nAnswer: 84000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 * -24\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 + -64. Let m(f) be the second derivative of f**4\/2 + f**3\/3 + 5*f**2\/2 - 193*f + 3. Let p(s) = -6*s**2 - 2*s - 4. Give r*m(d) + 4*p(d).\nAnswer: -6*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11078998 and -0.14.\nAnswer: -11078998.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 5 (b) -1\/5 (c) 3 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 0.04185 (b) 5\/4 (c) 6 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 387927?\nAnswer: 3, 43103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/136567 (b) 1\/6 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j + 1. Let k(s) = -5*s - 15. What is -18*i(t) - 2*k(t)?\nAnswer: -44*t + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -13052034 (base 8) in base 11?\nAnswer: -1704725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, -3\/11, -2\/65, 1, 4\/3 in descending order.\nAnswer: 4\/3, 1, 0.5, 0, -2\/65, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23182584, -0.12, 2?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h\/((h*h\/(h**18\/h))\/h)))*h*h**(-14)*(h**(-34)\/h)**5 assuming h is positive.\nAnswer: h**(-171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 1684416*y**2 + 236438105088*y.\nAnswer: 3*y*(y + 280736)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 4*s - 3*s)*(1 - 4 + 2 + (-2 - 2 + 3)*(3 - 4 + 3) - 1 - 6 + 5 + (1 + 1 - 1)*(-262 + 163 + 160)).\nAnswer: -112*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -42f4 (base 16) to base 4\nAnswer: -10023310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 3*k**2 + 3*k - 3. Let d be m(2). What is the common denominator of -47\/2 and 10\/(-15) - d\/(-18)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.011, 2\/5, -1\/59 in ascending order.\nAnswer: -1\/59, 2\/5, 2.011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53840854 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 31.7 and 6.\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3652731 (base 8) to base 11\nAnswer: 6270a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = 10. Let g(s) = 5*s**2 + 2*s + 3. Let q(b) = -36*b**2 - 15*b - 21. Let i(m) = x*q(m) - 15*g(m). Differentiate i(k) with respect to k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.5 + -41. Sort 3, 0.09, w, 4 in increasing order.\nAnswer: 0.09, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/195889180 and -101\/20?\nAnswer: 195889180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -3\/20*l**5 - 6*l**2 - 9\/2*l**3 - 3\/2*l**4 + 0 + 16*l. Factor u(p).\nAnswer: -3*(p + 1)**2*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -47*a**3 - 417*a**2 + 59*a + 40. Give s(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1074193, -3, -1 in ascending order.\nAnswer: -1074193, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 432 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/18*(30\/(-4) - 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 357?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.53 - -0.47. What is the closest to 1 in n, 1\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 379446123 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/720 + 25*k**4\/72 - 91*k**3\/8 - 8547*k**2. Let p(n) = 0. What is n?\nAnswer: 9, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.13308 * 1\nAnswer: -0.13308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*v)*(-4*v**3 + 3*v**3 + 2*v**3) + 51*v**4 - 331*v**3 + 0*v**4 - 50*v**4.\nAnswer: -2*v**4 - 331*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17098 by -3.\nAnswer: -17098\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 9\/40*b**6 + b**4 + 0*b**3 + 0*b**5 + 18*b**2 + 0*b + 0. Find the second derivative of j(u) wrt u.\nAnswer: 162*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -8. Let d(v) = -261*v + 14. Is d(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 y, and 2 n when four letters picked without replacement from {w: 2, j: 1, l: 1, n: 7, y: 5}.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 2*t + (-2*t + 0 + 0)*(2 - 6 + 2) - t + 3 - 3 - 3*t + t + 0*t + 3482*t - 843*t - 1660*t)*(-2*t**3 - t + 16*t**2 + 0*t - 16*t**2).\nAnswer: -1956*t**4 - 978*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 + 17 = -2*r. Let x be (7\/r)\/((-3)\/(-18)) - -1. What is the nearest to 0.03 in -2, -1\/5, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 2\/3, -2\/839, 0.2, 2\/87, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + (0 + -4 - (-18)\/9). What is the remainder when (-1)\/(w\/2*(-12)\/(-3222)) is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -150, -213, -276, -339, -402, -465?\n\"Answer: -63*o - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 2 y when four letters picked without replacement from {z: 2, b: 2, x: 1, j: 5, y: 4, g: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1265.7 to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywv when three letters picked without replacement from {z: 1, w: 1, v: 1, f: 1, y: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4958, -4956, -4954, -4952, -4950?\n\"Answer: 2*t - 4960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, 0.05, -0.1, 0.14544?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15607\/22 - 3710671\/5236. Let c = 3\/119 + g. Factor c*b**4 - 1\/2*b**3 - 1\/4*b**5 - 1\/2*b**2 - 1\/4 + 3\/4*b.\nAnswer: -(b - 1)**4*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2675295 divided by 1995.\nAnswer: -1341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-15))\/(154\/(-132)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from zzzzvvvvvzyvvzzvvvv.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-29)*v)**30)**(1\/7) assuming v is positive.\nAnswer: v**(-120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/11 + (-25272)\/(-88)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**4 - 220595*c**3 - 441215*c**2 + 220595*c + 441210 = 0. What is c?\nAnswer: -2, -1, 1, 44121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1688741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -110\/7. Let a = -11 + 6. Let m = a - -5. What is the closest to v in m, -4, -1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.155 seconds in milliseconds?\nAnswer: 381155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 5 = -2*a - 7, 0 = -4*g + 2*a + 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 1916*l + 2. Let b(r) = 7*r. Calculate b(f(i)).\nAnswer: 13412*i + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 + 4. Suppose 3*d = 3*m - 0*d + 9, d = -3*m + 7. Let i = -3 - m. Let z(w) = 14 - 9 - 4. What is i*z(f) + g(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 12:48 PM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/420 - i**5\/30 - 11*i**4\/84 - 5*i**3\/21 + 151*i**2. Factor n(q).\nAnswer: -2*(q + 1)**2*(q + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032999972 rounded to 6 dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l\/((l\/(l**21*l*l))\/l))\/l*l))\/(l*l**(-4\/3)) assuming l is positive.\nAnswer: l**(-68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/16 and -41\/1468.\nAnswer: 5872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*t**2 - 39*t**4 + 32*t**4 + 11*t**2 - 2*t**3 + 27*t**4 + 11 in the form f + p*t + j*t**2 + r*t**3 + y*t**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 + 512. Suppose -3*i = -9, i - k = -4*l + l. Let z(r) = r**3 + r + 105. Calculate the remainder when z(0) is divided by l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b + 16. Let g = 176 + -165. Let r be q(g). Solve 5*n + 3*i - 5 = 6*i, -25 = -r*i for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1704 by -568.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.09304 or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3*y - 5*y + 4*y) + 2*y + 0*y - 4*y + 2*y - y + y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 115 + 19. Suppose t = o - 8, 5*o = 2*t - 0*o + 19. What is the remainder when (-2 + 3)*(197 + t) is divided by h?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*g*j - 2*f*g - 41*f*j + 7*f - 11*g*j - 3*j - 1 with respect to g.\nAnswer: 2*f*j - 2*f - 11*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/1531 and -16\/7.\nAnswer: 10717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (82 + -42)\/(-2) - (-1 - 0)*(4 + -14).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1671*d + 3696 = -2988 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.63 - 207.63. Let z = s - -204.99851. Round z to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 5) in base 4?\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7674.\nAnswer: 2, 3, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*a*l**2 - 13*a*v**3 - 2*a*v**2 - 5*l**3*v**4 - l**3 + 2*l**2*v wrt v.\nAnswer: -78*a - 120*l**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bjbbdbjbjbbbdbbj. Give prob of sequence jbd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -314 = 44*a + 126 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 65*i**3 - 2472 + 4 - 945*i**2 - 547 + 2970*i. Let x(h) = -3*h**3 + 43*h**2 - 135*h + 137. Let s(v) = -2*n(v) - 45*x(v). Factor s(u).\nAnswer: 5*(u - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -25921, -25930, -25943, -25960, -25981, -26006?\n\"Answer: -2*m**2 - 3*m - 25916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(77)*1)\/(1*sqrt(539)))**2 + -1 + (sqrt(126)\/sqrt(3))\/sqrt(6)*-2.\nAnswer: -2*sqrt(7) + 9\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 657300138?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a6c55 (base 14) to base 12.\nAnswer: 5b388b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80033836 and 3479732?\nAnswer: 80033836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + 0 - (-4 + 2). Suppose -p*d + 98 = f, d - 42 = -f + 68. Suppose 0 = -5*y + 172 + f. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixteenths of a hour in seconds?\nAnswer: 1575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 n, and 1 e when three letters picked without replacement from {n: 7, g: 3, b: 3, s: 1, e: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -9. Let f = 0.53 + -130.53. Let h = 130.5 + f. Which is the biggest value? (a) -2 (b) z (c) h (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-56)\/(-21) + (-60)\/(-45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7445, -20024, -54175, -120686, -230345?\nAnswer: -393940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 7*b - 2. Let d be m(-7). What is the units digit of (26\/(-13))\/(d\/27)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -307, -11 in descending order.\nAnswer: -4, -11, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*t + 1384 = 245. Solve 16*i - t*i + 5 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -175 + 254. Suppose -y + 3*s = -4*y + 105, -2*y = 5*s - n. Suppose -y = -c - c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6*11808.2.\nAnswer: 18893.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 327 = 311 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -37 + 27 - (4 + (-12 - -7))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 - 2*r**2 - r - 1. Let k be a(2). Suppose 3*q - f - 34 = -5*f, -5*f = -q + k. What is the smallest common multiple of 33 and q?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(204)\/(3*sqrt(1452)).\nAnswer: -1 + sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6555\/8740*12\/130*8\/18. Let r(f) be the first derivative of -i*f**5 + 0*f**2 + 4\/39*f**3 + 0*f**4 + 6 - 2\/13*f. Factor r(m).\nAnswer: -2*(m - 1)**2*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41346 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4711)\/4038)\/(14\/(-60)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**20)\/r)\/r*r*r\/((r*r**(-2\/7))\/r)*(r*r**7*r*r)**(-2\/3))**(-11) assuming r is positive.\nAnswer: r**(5863\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17643724 and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -32.98501?\nAnswer: -9.895503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -554561 or -554667?\nAnswer: -554561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*2 + sqrt(2448) + (-2 + sqrt(2448))**2)*2.\nAnswer: -44*sqrt(17) + 4904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*q + 17. Let m be 0\/(-2) + (q - -16). What is the second derivative of -3*g**4 - 26*g**2 + g + 26*g**m + 4*g wrt g?\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2039b5b - -2?\nAnswer: -2039b59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 71\/23 + 106\/(-1219). Solve -5*y - 5*h = 5, -3*y + 0*y - w = -h for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*d + 35*d - 3*d + 42*d + 45*d as t + w*d and give w.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -15 + 3 + 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144, -236, -330, -426?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 58*f**2 + 177*f - 296. Is 35 a factor of j(55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250431944?\nAnswer: 2, 7, 638857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*w**5 + 6*w**4 - 41*w**3 - 251520*w**2?\nAnswer: -1200*w**2 + 144*w - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 7*s. Solve -a - a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**2 + d**2 + 3*d**2 - 7*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, q: 4}. What is prob of picking 1 q and 1 c?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2999*j**2 - 3041*j**2 + 2 + 6073*j**2 + 20*j to z + y*j**2 + r*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 456 and 3819?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3014453 - 5?\nAnswer: -3014460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -21*x**3 + 2*x**2 + 51*x + 14. Let f(k) = 141*k**3 - 13*k**2 - 356*k - 95. Determine 3*f(n) + 20*j(n).\nAnswer: 3*n**3 + n**2 - 48*n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 675 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a litre in millilitres?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678549, -678513, -678453, -678369, -678261, -678129, -677973?\nAnswer: -677793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50)*2)\/sqrt(10) + sqrt(15)\/sqrt(12))**2.\nAnswer: 125\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 3, -16, -3, 591, -2 in increasing order.\nAnswer: -16, -3, -2, 3, 12, 591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -31*m**3 - 138*m**2 - 37*m + 84. Determine u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -1\/6*l**4 + 2*l + 0*l**3 + 0 + 0*l**2. Let x(y) = -y**2. Determine q(x(g)).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -10. Let v be 45\/c - (-5)\/(-20). Let z(g) = -2*g**3 - 7*g**2 - 6*g - 1. Is z(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/21)\/((-8)\/14).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 2*i = 5*y + 11, -2*y - 3*i - 4 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 12. Let z = -61 + 66. Suppose -z*i + 103 = 93. What is the third smallest value in i, g, -4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6140816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30796 by -7699.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**2 + 9108*o - 6912972 = 0. Calculate o.\nAnswer: 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 116\/28 - (-1)\/(-7). Suppose -t*n + 36 = -0*n. Does 9 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.27 - -0.17. Let a = -0.83 - -0.28. Let c = a - g. What is c rounded to one decimal place?\nAnswer: -0.5","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 abuaaauaaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1763 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 77 + 3)*11 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 3*g + 6 = 0, 5*p - g - 447 + 441 = 0. Solve 2*w - 7*w - 4*v = -33, -2*v + 14 = p*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48692808995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.583 + -0.683. Which is the nearest to 0.2? (a) 10 (b) 2 (c) g (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 125. Is 6 a factor of ((-40)\/(-2))\/(l\/(-35))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5297, -10590, -15879, -21164, -26445, -31722, -36995?\nAnswer: -42264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 20. Let w be ((-39)\/26)\/(3\/(-4)). Factor 6\/13*j**w - 2\/13*j**3 - 4\/13*j + h.\nAnswer: -2*j*(j - 2)*(j - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 13}. Give prob of picking 4 q.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y - 3*y - 3*y**2 - 3*y - 17*y - y**3 - 8*y**2 - 21. What is the smallest common multiple of a(-9) and 162?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n. Let b be d(5). Let a = b - 0. Let z(u) be the first derivative of -4*u**2 - 82. Let r(y) = 7*y. What is a*z(s) - 6*r(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 1}. What is prob of sequence ffj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 equal to -112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06 + 0.07. Let a = i - 0.12. Round a to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 6*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26410, 52823, 79236, 105649, 132062?\n\"Answer: 26413*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-5))\/(9\/420). Let j be (-7 - 684\/(-90)) + (1032\/10)\/3. Calculate the highest common divisor of j and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -0.9, 0.4, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, p: 9}. What is prob of picking 2 g?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0292 - -122?\nAnswer: 121.9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*i**2 + 106*c**3 + 2*c**2*i**2 + 106*i**2 wrt c?\nAnswer: 6*i**2 + 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 847\nAnswer: -4235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 3:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-5)\/v**(1\/11) assuming v is positive.\nAnswer: v**(-56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b + 11. Let t = -120 + 112. Let l(y) = y - 4. What is t*l(q) - 3*m(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - (-3)\/2. Suppose -5*w - a*d = -18, -5 = -w - w - 3*d. Differentiate 16 - w + 10*r**4 - 6*r**4 + 8*r**4 with respect to r.\nAnswer: 48*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 15. Let d = y + 98. Let u = -34 + d. What are the prime factors of u?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -77 and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**3)\/(p**(2\/15)\/p)*(((p**(-3\/2)*p)\/p)\/p)\/(p**(-1\/3)\/p))\/(p*p*p**5*p\/(p*p**6))**45 assuming p is positive.\nAnswer: p**(-463\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*a + 38*a - 53689 + 53689)*(2*a + 0 + 0).\nAnswer: 194*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 1706*j - 178663. Calculate u(-112).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - -40. What is the lowest common multiple of r and 6?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 629484933?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 12*o**2 + 2*o. Let k(m) be the first derivative of 3*m**2\/2 + 6. What is r(k(a))?\nAnswer: 108*a**2 + 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2278114*r**3 + 4*r**2 - 194874?\nAnswer: 13668684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, -11, -19, -27?\n\"Answer: -8*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 177286 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.070982 to three dps.\nAnswer: -0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 529585 = 13*q + 38848. Suppose -32*a + 217003 + q = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 238700565 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 4*f**2 - 7*f + 17. Is 23 a factor of p(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1127*r**3 - 14785*r**2 + 32096596*r?\nAnswer: 6762*r - 29570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*s + 253 + 172 - 357 to the form y*s + v and give y.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vxnvnvlxnmx. Give prob of sequence nn.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1739 + 7*x - 2639 - 6*x to q + t*x and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-15)*200\/24*(1 - -2). Let s be ((-245)\/(-14))\/((-2)\/(-4)). Suppose 0 = 6*t - 13 - s. What is the highest common divisor of t and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a + 8. Let f be g(5). Let n = -11 - f. Solve -4*b + 10 = -n*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2207, -4155, -6103?\nAnswer: -8051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 971 + -328. Suppose b = 9*d - 1076. Suppose -4*f + d - 23 = 0. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -23*h**2 - 6*h - 19. Let l be v(-3). Let b = -203 - l. Solve 2*d = 2*p + 16, d + 6 - b = -2*p for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -123\/4, -1\/4, -0.3, 1, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -q**5\/360 - q**4\/72 - q**3\/36 + 2*q**2 + q. Let z(g) be the first derivative of c(g). Factor z(i).\nAnswer: -(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*i - 4*p = 27*i + 413, -4*i - 2*p + 372 = 0. Suppose 2 = h, -3*a + 0*h - 3*h = -9. What is the least common multiple of a and i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 7*l - 1. Let y be x(-6). Solve -2*k + y = -3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 594159 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367561985 to the power of 1\/2, to the nearest integer?\nAnswer: 36981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 232724773 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 830691.5 millilitres?\nAnswer: 830.6915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/4 + 582\/24 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34381797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v + 5*v - 3*v. Suppose 3*g = -1 - 2. Let p be m(g). Are p and 3 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 15 - 8*z + 5)*(-6 + 4 + 14)*(2*z + 0*z - z) as m + q*z**2 + x*z and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 440123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 + 0.29. Let l = -10 - -7. Let v = -3 - l. What is the third smallest value in -5\/6, v, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 720 and 72.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 423 + -1282\/3. Let a = 55349\/14442 - -2\/2407. Let p = l + a. Are p and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -58*s + 62*s + 312, -6*s - 3*x - 477 = 0 for s.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = b - 3*b. Let d be -3 + (-6)\/b - 0. Let c = 0.0972 - -0.4028. What is the biggest value in -0.2, c, d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 160.68.\nAnswer: 160.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*q - 1. Let n be (-6)\/(-2)*28\/q. Let h be n + (4\/2 - 3). What is the greatest common divisor of h and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/4 of a millisecond?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8992.659 micrograms in milligrams?\nAnswer: 8.992659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/2*((-147747)\/(-11588))\/((-6)\/4)\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - l = 4, -5*l = -c + 398585 - 398569 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/174 and 173\/44400.\nAnswer: 1287600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42272, 42413, 42804, 43571, 44840?\n\"Answer: 21*u**3 - u**2 - 3*u + 42255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7103 divided by -18106?\nAnswer: -7103\/18106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 19. Put i, 2, 9 in increasing order.\nAnswer: i, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 - 2*g**2 - 3*g + 2. Let l(y) be the first derivative of 5*y**4\/4 + 4*y**3\/3 + 3*y**2 - 4*y + 3. Let r(u) = -4*l(u) - 7*v(u). Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 13*f**2 - 206*f - 55. Give d(-22).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5329, -4, 5, 0, -1, 730 in decreasing order.\nAnswer: 5329, 730, 5, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/(sqrt(225) + sqrt(9)))**2 - (sqrt(931) + 1 - sqrt(19)) - -5*(sqrt(2736) + (5 + (sqrt(2736) - 2*sqrt(2736)) + sqrt(2736))**2 - sqrt(2736)).\nAnswer: -6*sqrt(19) + 4483\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**1*i))**(8\/7))**10*((i*(i*i\/(i\/((i*i**(-2))\/i)))\/i)\/i)**(2\/85)\/(i**(-1\/2))**(-32) assuming i is positive.\nAnswer: i**(-23148\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -176 + 158 - (-9 - -10 - (2 + 1))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-6))\/((-3)\/45*12\/(-8)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31 + 44?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (0 - -2 - 25). Suppose 5*h - 77 = -w. What is the smallest common multiple of 1\/(-1)*(-1 + -2) and h?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20063 rounded to the nearest 100?\nAnswer: -20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/5 - 244*x\/5.\nAnswer: x*(x - 244)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (-2 + sqrt(720) - (sqrt(5) + -1 + 4)) + (sqrt(5) - (sqrt(20) + sqrt(20)*5)\/sqrt(4)) + -5 + sqrt(5) + -2 + sqrt(5))*1)**2.\nAnswer: -240*sqrt(5) + 545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o + 50. Let v = 39 + -39. List the prime factors of s(v).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 2*o + 32, -4*o + o + 4 = -p. Suppose p = 4*k - 3*k. What is the smallest common multiple of 4 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -0.05462901.\nAnswer: 0.10925802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1419200, 1419150, 1419100, 1419050?\n\"Answer: -50*b + 1419250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by -11269.\nAnswer: 12\/11269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -39a25 (base 12) to base 2\nAnswer: -10011010101111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23886*c**3 - 87 + 46 + 41.\nAnswer: -23886*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 5, b: 5}. Give prob of sequence kk.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/68 + (-330)\/(-85). Solve -2*s = -n - d, 2*s + 2 = 5*n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*k**3*p + 2821*k*p**2 + 7*p**2 - p - 2934 wrt k?\nAnswer: 66*k**2*p + 2821*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 AM and 11:53 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.12 minus -156016112175?\nAnswer: 156016112177.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*t**2 - 6*t**2 + 22 - 2*t**2 - 11*t**2)*(3*t**3 - 4*t**3 + 2*t**3).\nAnswer: -44*t**5 + 22*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11840, 23687, 35538, 47393?\nAnswer: 59252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/14 + 1 + 40\/(-280)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19151008 rounded to the nearest one hundred thousand?\nAnswer: -19200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/6*40\/2. Suppose -4*w + 6*w = 222. Let n be w\/9 - 5\/((-15)\/(-4)). Is d > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*b)*(0 + 0 + 5*b) + 1 - 1220*b**2 + 2446*b**2 - 1195*b**2 + 17*b.\nAnswer: 41*b**2 + 17*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Let f(u) be the second derivative of u**3\/2 - 13*u - 1. Give s(f(m)).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 + 126 = 3*m + 266 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(sqrt(209)\/(sqrt(99) - sqrt(11)) - sqrt(19)).\nAnswer: 3 + 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*n = 4. Suppose 2*l + a - 5 = 0, a = 5*l - 2*a + n. Solve 17 = 4*v + v + 3*g, -v - l = 5*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 + 60 + -14 + (8 - 107)\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h**2 - 5*h + 1. Let n be d(1). Suppose -4 = 2*u + 4. Which is smaller: u or n?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 780 + -261. Suppose -1484 = -k + z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**3\/3 + 8*y + 5. Let d be u(0). Solve -l - l = -d for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2624*j - 2783*j + 667*j.\nAnswer: -4740*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13292 is divided by 119?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/4 (b) -0.16 (c) 1 (d) -90\/7 (e) 4\/5 (f) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 13) to base 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 285000 to the nearest 10000.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1352 + -910. What is the greatest common factor of 272 and c?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3063288139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 - -34. Let t = 4 + -16. Let u = 11 + t. Sort n, -5, u in ascending order.\nAnswer: -5, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1195 bigger than -158967\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 13 + 33 - 4*o. Let g be l(6). Differentiate 28 + 89*d**g - 28*d**2 - 36*d**2 wrt d.\nAnswer: 50*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-490)\/15))\/((-5)\/10)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 572, 580, 600, 638, 700, 792?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*f + 5*y + 690, 4*f = 5*y + 552. Suppose 3*k - 4*z = 62, -3*k - 4*z + 22 = -0. What is the remainder when f is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 70805993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17309988*x**2 - 7768457*x.\nAnswer: -34619976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 18 - 2. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2419395019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than -1185\/467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 60899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32191*i - 64616*i - 129 + 32429*i.\nAnswer: 4*i - 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*q + q**3 - 5*q + q**2)*(4*q - 9*q - 3*q) to i*q**4 + p*q**2 + f*q**3 + v*q + k and give f.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s - 47 + 42 + 50 + 126 + 53 to the form g*s + q and give q.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 383532812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/799750 and -9\/223930?\nAnswer: 5598250","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 56\/28*(-1)\/(-7)*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4 + -2*sqrt(176) + ((sqrt(176) + -2)*2 - sqrt(176) - sqrt(176))**2.\nAnswer: -8*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3964, 3965, 3966, 3967, 3968, 3969?\n\"Answer: m + 3963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, r: 3, y: 1}. Give prob of sequence rgry.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 8, n: 5}. Give prob of picking 3 n and 1 r.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1397 is divided by 347?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -976, -962, -944, -922?\n\"Answer: 2*n**2 + 8*n - 986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(-2*sqrt(735) + sqrt(735)) - sqrt(735)) + 1*sqrt(735)*-1)\/((sqrt(3300)*2)\/(2*sqrt(176))).\nAnswer: -98*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 2) + 37 + -4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7629579 divided by -2543193.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3862 + 3863. What is the smallest value in 0.3, 349, w?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17.9, 5\/3, 1\/3, -1\/8, 1\/4, 0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15\/241 + 376\/2169. Which is the second biggest value? (a) k (b) -2 (c) 58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29393412791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 112444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 253\/192?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7 = 63. Is l a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 10*d - 27. Let g(u) = 7*u + 2 - 3*u**2 + 7*u**2 - 107*u**d + 0*u + 106*u**3. What is the tens digit of g(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -43*p + 266, 72*c - 73*c + p - 2 = 0. Let q(s) = 0*s**3 + 5*s + 2*s**3 - 5*s**2 - 1 - s**3. Give q(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -71, -147, -223, -299?\nAnswer: -375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.47 - -10.47. Let i = 18 - 10. Let g = i + -6. Which is the third smallest value? (a) 2\/3 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcc when three letters picked without replacement from {c: 3, l: 13, r: 2}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3142006?\nAnswer: 2, 7, 224429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*r**4 + 328 - 328)*(-2*r + 3*r - 4*r) - 2*r**5 + 4*r**5 - 4*r**5.\nAnswer: 46*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + 0 + 0. Let z(a) = 6 - 15 - 125*a - a**3 + 4 + 251*a - a**2 - 125*a. Give z(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 329, 322, 305, 272, 217, 134, 17?\n\"Answer: -i**3 + i**2 - 3*i + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**2\/5 + 9527482*o\/5 + 19054972\/5 = 0. What is o?\nAnswer: -2, 4763743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 284052 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 58*g + 17. Let c(m) = 27*m - 75 + 28*m + 91. Let j(v) = -5*c(v) + 4*r(v). What is the derivative of j(k) wrt k?\nAnswer: -43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 36 = -2*c, -6*w + 3*w + 54 = 3*c. Suppose -3*g + 0*g + 60 = 0. Let z = g - c. Solve -z*a - 1 = 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -69422 and -747576.\nAnswer: -816998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 2*p + p. Let v(q) = 0*q + 211*q**2 + 0*q - 218*q**2. Calculate v(s(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 + 2. Let y be n(-7). Suppose y*g + 70 - 488 = 0. List the prime factors of g.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*w = -1397 - 813. Suppose 7*n = 6*n + 39. Suppose 0*c = -c + n. What is the greatest common divisor of w and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 719*d - 177*d - 180*d - 180*d + 6*d**2 - 180*d. Calculate k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -27*n. Let a(q) = -3 + 4*q + 11 - 6 - 4*q + 3*q. Let u(t) = 7*t + 2. Let y(o) = -4*a(o) + 4*u(o). What is p(y(x))?\nAnswer: -432*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 14?\nAnswer: -13\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124277 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22923 = 5*r + 6263. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/2 (b) 1928\/5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24)\/20)\/(2\/(-5)). Let z = -3 + y. Solve 0 = -3*l - z*l + 12, -3*k - 3*l = -24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/1941 and 25\/11?\nAnswer: 21351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 10*g**2 + 4. Determine y(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, w: 8, v: 1}. What is prob of sequence wv?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243619?\nAnswer: 179, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -11 (b) 5 (c) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8, 0, -2\/3, -1\/5, 12230?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, h: 5, a: 13}. Give prob of picking 1 h, 1 a, and 1 s.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 480\/1729 - -2\/247. Sort 3, -0.9, x in ascending order.\nAnswer: -0.9, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*v**5*y**3 - 26*v**4*y**3 + 2*v*y**2 + 3*y**3 - 3*y**2 wrt v.\nAnswer: 460*v**3*y**3 - 312*v**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13940 and 2030?\nAnswer: 2829820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)*v**6*v*(v**(-1))**(-42))\/((v**(2\/3)*v)**(4\/9)*v**(-4)\/v**(-1)) assuming v is positive.\nAnswer: v**(1330\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1013 is divided by (-1)\/(-6 - (-44)\/(-104)*-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0338 rounded to three dps?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 d when four letters picked without replacement from dkdkkkpkpkkkppkd.\nAnswer: 9\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (3\/18*-10)\/((-12950)\/3108)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 935970805?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-10)\/(-345)*-1. Sort 1\/2, h, -0.08 in decreasing order.\nAnswer: 1\/2, -0.08, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 5 = -5*o, 28*w - 24*o + 28*o - 144 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7 + 0.152.\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3479, -3186, -2697, -2012, -1131, -54, 1219?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7725307.\nAnswer: 7725307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 594 + 15692 + 263 - 3*p + 5*p.\nAnswer: 2*p + 16549","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 5*o - 4. Let z(d) = d**3 - 3*d**2 - 2*d + 3. Let r be z(3). Let s be 0 - r - 42\/(-14). Let w be (-2)\/(-3) - 40\/s. Give a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 6*t - 3. Suppose n = -4*n + 20. Calculate the remainder when m(3) is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*d + 36 = 111*d. Let l be d\/(-2) + 153\/18. Let h(v) = v**3 - 7*v**2 - v + 14. Calculate h(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsdbgbdsbzxb. Give prob of picking 2 z and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/((-20)\/12) + 7. Let h(m) = -8*m + 1. Let o be h(2). Let a = v + o. Which is bigger: a or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + w)*(-575*w + 165*w - 193*w).\nAnswer: -603*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 + 6*c - 8. Suppose a + 3*g - 23 = -0*a, -5*g = 5*a - 65. Let r be (-54)\/a - (-2)\/(-8). Let b be (36\/(-14))\/(-3)*r. Calculate t(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 24 = -v. Does 21 divide v\/(-8) - (-22140)\/96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 minus 1474?\nAnswer: -1474.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.07 + -1.07. Which is the second smallest value? (a) -0.5 (b) 0.2 (c) 3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/352?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5\/4, 3\/8, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 127078 - 30015. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 616.0039 + -0.0039. Let w = -487.74097 + -128.28573. Let u = w + v. Round u to 3 dps.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -18. Sort -0.4, -1, v, -1\/10 in descending order.\nAnswer: v, -1\/10, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10081669?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2 + 12*t + 6. Let n(z) = 3*z**3 - 16*z**2 + 13*z + 16. Let y be n(4). Calculate x(y).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 234304341 (base 5) to base 7\nAnswer: 12151202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/((-2)\/28*2). Let q = 5290 + -5294. Let h be (-2)\/(-6)*12\/(-14). Which is the closest to k? (a) h (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 2*u + 16, -8 = -3*g - u. Suppose y = -2*s + g + 6, 20 = 5*s + 5*y. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.46479 millennia to decades.\nAnswer: 46.479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, 0.5, -0.16, -0.4, 7406?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**20\/k))\/k)\/k*k\/k**21 assuming k is positive.\nAnswer: k**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/(2\/6). Let q(h) = -h - 4. Let u(w) = -1. Let k = -9 + 8. Determine a*u(b) + k*q(b).\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2124*k**3 + 8562*k**3 - 6436*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -1050 + 2099 - 1049 + 35*y. Let u(s) = 16*s**2. What is q(u(w))?\nAnswer: 560*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h**3 - 413*h**4 + 4*h**2 - 2*h**2 + 3*h**5 - 2*h**2 + 422*h**4 = 0 for h.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000158 rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 49994050849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/7))**17)**(8\/13) assuming v is positive.\nAnswer: v**(-136\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(84)*3 + (sqrt(84) - (1*sqrt(84) + sqrt(84)))*6)\/(sqrt(15)\/sqrt(5)*-3 - (sqrt(108) - sqrt(3))*-2).\nAnswer: -24*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32\/7 - 181\/35. Let k be (0 + -2)*(1971\/(-12) + 1). Let o = k + -326. What is the nearest to o in g, -5\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 24*h - 23.\nAnswer: -(h - 23)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 289*q**5\/4 + 51*q**4\/2 - 648*q**3 - 459*q**2\/2 - 81*q\/4 = 0. Calculate q.\nAnswer: -3, -3\/17, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 67. What is the second biggest value in -1, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9716.\nAnswer: 2, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15440267387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1155 - -0.2155. Which is the nearest to z? (a) 0.3 (b) 1 (c) -30 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 24 - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4397956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -14 + ((-10856)\/(-32))\/23. Factor -3\/2*h + g*h**2 + 0.\nAnswer: 3*h*(h - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12698585344*m**2 - 4056768*m + 324 = 0.\nAnswer: 9\/56344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -16. Let v be ((-6)\/(-10))\/(-2 + (-66)\/(-30)). Solve h*q - 6 = v*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, -0.2464, 0.1, 0, -0.4, 1?\nAnswer: -0.2464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 297.1762 millennia?\nAnswer: 3566114.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-one halves of a hour?\nAnswer: 55800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.3 + 4. Let v = -0.5 - w. Let s = -0.3 - -0.4. Is s greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (2\/10 + (-49)\/(-5)). Let x(k) = 11*k + 39. Let q be x(s). Let y = 92 + q. What is y rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50333 is divided by 4571.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) 306 (c) 0.4 (d) 1\/4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1543608 is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 4973.\nAnswer: -5\/4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-3\/20)*u**(-26) assuming u is positive.\nAnswer: u**(-497\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 5*y**3\/6 - 23*y**2\/2 + 16*y. Let h be x(13). Let u = h + -18. What is the least common multiple of u and 15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 17. Suppose l*h = 7*h - 484. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 4. Let d be k(0). Let n be 8\/20 + (-22)\/5. Let f be n\/(-4)*(6\/10 - 0). Sort f, d, -3 in descending order.\nAnswer: f, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5 = -5*h, 0*w = w - 4*h - 3. Let m(g) = g**3 - 6*g**2 + 3. Let y be m(6). Let c = -5 - y. Put w, -2, c in decreasing order.\nAnswer: -2, w, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 v when two letters picked without replacement from vvvowmb.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 6*x - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -s**3\/6 + s**2\/2 - 3*s. Let r be q(-3). What is the third derivative of 5*w**2 - 2*w**r - 3*w**2 + w**2 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -2f?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1204.5 - -1204. Let v = 71 + -70.5. What is the closest to -0.1 in r, v, 6\/13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -7. Let g = 9 + z. Let n = 8 - g. Solve v + 2*b = 5, 0 = 2*v - 3*b - n*b - 10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) 17\/12 (c) -1\/3 (d) 3\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + 2*s - 25, -2*r - 5*s + 5 = -5. Suppose -r*m = -w - 153, m = -3*m - w + 126. What is the tens digit of m\/2 - (-3)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17114, -16605, -15738, -14489, -12834?\nAnswer: -10749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*a**2 + 5*a**2 - 2 + 1 + 2*a**2 to k*a + o + n*a**2 and give n.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1130096ng in micrograms?\nAnswer: 0.0001130096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/108052 and -29\/4760.\nAnswer: 1080520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 8 (b) -2 (c) 0.3 (d) -1\/10 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 348\/25 and 30361 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71 and 5609.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(11) - (sqrt(1331) - sqrt(1331)*-4)) + 5.\nAnswer: -54*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 55741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 1 - 43. Suppose v*r = -7*r + 4158. Calculate the highest common factor of r and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -11 + 0*g**5 + 5\/3*g**6 + 0*g - 2*g**3 + 0*g**2 + 0*g**4. Find the third derivative of o(m) wrt m.\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105973757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.143 + -1.52518737402?\nAnswer: -1.38218737402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 797*y + 4703. What is b(-6)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**2\/5 + 51*t\/5 - 54\/5 = 0. Calculate t.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14\/70 - 48\/(-10). Suppose -o - j*d + 6796 - 1887 = 0, -5*o - 4*d = -24545. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -19*t**3 - 115*t**2 - 9*t - 7. Determine a(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -28.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 4*h - 23, -12392*o + 12390*o = -2*h + 16. Suppose 2*f - 2*j - 36 = 0, -4*j = 4*f - 57 - 47. Sort -5, o, f in increasing order.\nAnswer: -5, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 20 (c) 4 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -2*f**6\/3 - 8*f**5\/5 + 8*f**3\/3 + 2*f**2 + 12. Factor z(h).\nAnswer: -4*h*(h - 1)*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4194144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -26.99.\nAnswer: -27.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -119300 rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((432\/576)\/(-4 + 73 + 3))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 3 - 7)*(-5 - 2 + 2)*(-4*g + 2*g + 3*g)*(0 - 1 + 6) to o + m*g and give m.\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*u + 2*u - 4*u)*(-95 - 8*u + 95)*(2*u**2 - u**2 + u**2) to the form q*u**4 + i*u**3 + h*u**2 + g*u + o and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 50a (base 11) to base 4\nAnswer: 21213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(((-3)\/6)\/(6\/(-24))). Suppose -5*r = -7 + 17. Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.111 in 16\/5, 2\/13, 22?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*v = 91*v + 5. Let p be (-8)\/(-20)*95*v\/2. Let w = 33 - 12. Which is greater: w or p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114037600 to the nearest 100000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 1. Let i(l) = 2*l**2 - l - 1. Give -i(a) + 3*m(a).\nAnswer: a**2 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 290 = -520. Sort 4, w, -4 in descending order.\nAnswer: w, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-54918)\/(-99))\/18 + 4\/22. What is the greatest common factor of 3503 and p?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57656788.\nAnswer: 2, 7, 191, 10781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/67, -1, 1.9 in descending order.\nAnswer: 1.9, 2\/67, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146 + 14.9. Let x = -25.9 + b. Is 1\/4 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1861?\nAnswer: -1860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q + 148*q = -105*q - 6554 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5 - 1228*s**2 - 3 - 2 + 1227*s**2. Let b(f) = -793*f**2. Determine g(b(o)).\nAnswer: -628849*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 560 and 85008.\nAnswer: 425040","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 31322, 62637, 93954, 125273, 156594, 187917, 219242?\nAnswer: 250569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 8:57 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -0.3, 32?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -503\nAnswer: -16\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-15 - -7) - 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9956.06 litres to millilitres.\nAnswer: 9956060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((2*sqrt(7))**2 + 4)*-1 + (sqrt(49) - sqrt(294)\/sqrt(6))\/sqrt(7) + 4).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -z - 30, 2*z + 22 = -4*v - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2224693422.\nAnswer: 2, 3, 7, 1693, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2168, 2083, 1902, 1577, 1060, 303?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = 2*u, 0 = 3*q + u - 0 - 2. Let z be q\/4 + (-361)\/(-76). Solve t + 4*t + 3*d + z = 0, 0 = -4*t - 3*d - 7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 66\/(-180) - (-3)\/15. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -711 + 708. Let j be (3 + r)\/(-3 + 4) - -5. Calculate the greatest common factor of j and 155.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65948?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 8 + 80. What is the greatest common divisor of 198 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6170)\/(-3085)*(-3)\/(-75).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**2 + k. Let n(q) = 12*q**2 - 2*q + 119. What is n(r) + 7*t(r)?\nAnswer: -2*r**2 + 5*r + 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 19, -142, 253, -1 in increasing order.\nAnswer: -142, -2, -1, 19, 253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67682 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 159*j + 8*j - 509. Sort -3, -4, 1, j in descending order.\nAnswer: j, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183447961051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1539*j + 9203 - 18414 + 9211 to the form o + v*j and give v.\nAnswer: 1539","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by -29.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220737 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, n: 6, w: 9}. What is prob of sequence ywn?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-18) - 3172\/(-15327). Let s = -72 + 71. Do s and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**3 + 5*z**4 - 2*z**3 + (-z**3 - z**3 + 4*z**3)*(-3*z + 2*z - z) + (4*z - 7*z - 11*z)*(z**3 - z**3 - 2*z**3).\nAnswer: 29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 1, 2\/7, -40?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*x - 2822645 = -263*x. Is 36 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75548 and 1789964?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -145 (c) 5 (d) 4\/5 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 80021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1362, -1363, -1354, -1329, -1282?\nAnswer: -1207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 194325539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (15 - (-3 + 7 - -5)) + -12.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 1. Suppose -163*t + 162*t = -5*w - 16, -w = -5*t + 8. Let f(n) = -6*n**2 + 3*n - 4. Calculate t*f(q) - 3*y(q).\nAnswer: -6*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -311594089 - -311593969.999999664. Let f = 119 + l. Round f to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4119 divided by -14\nAnswer: 4119\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19444 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) -3 (c) 0.4 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + 0*s)*(3 + 3 - 5) + (6*s - 4*s - s)*(2 - 6 + 17) to d*s + k and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350862352?\nAnswer: 2, 1601, 13697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15738)\/301 - 2\/(-7). Which is greater: w or -53?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -1e?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t - 487. Let j(l) = 399*l - 2. Determine j(d(n)).\nAnswer: 399*n - 194315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*q - 10, q + z = 5*q - 40. Let j(k) = -k**2 + 6*k + 2. Calculate the remainder when q is divided by j(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994*u - 991*u = 3. Which is smaller: u or -14\/37?\nAnswer: -14\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gooooooogo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes after 1:01 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 2*b + b)*(0*b - 7*b - 5*b)*(-1 - 3*b + 1)*(1 + 4 + 7).\nAnswer: -432*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(-35)*7\/(-4) - (-9)\/(-18). Which is the biggest value? (a) -5\/2 (b) f (c) 12 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f**3 + 1. Let r be t(1). Suppose -4020 = -r*b - 4*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.18 + 8. Let t = f - -0.08. What is the nearest to 1\/2 in -2\/9, t, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + -1. Let d = q + 6.048. What is d rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 623251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0 (b) 29\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6535 take away 210128?\nAnswer: -203593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a microsecond in nanoseconds?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.7? (a) 2\/5 (b) -53.684 (c) -147 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18239 - -18237.5. Let i = 0.3 + -0.34. Which is the second biggest value? (a) i (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 32. Let p(g) = g**3 + 25*g**2 + 24*g + 123. What is the remainder when p(-24) is divided by o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 g when four letters picked without replacement from {x: 3, g: 3, i: 2}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzyaqzqdt. What is prob of picking 1 q, 1 z, and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 26040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**5 + 2*t**4 - 2*t**3 - 2*t**2 + 6*t. Let q(l) = -l**4 + l**3 + l**2 + l. Let c(b) = -n(b) - 2*q(b). Find the second derivative of c(r) wrt r.\nAnswer: 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25 - 247*g**2 + 25 + (-5*g + 5*g + 4*g)*(0*g - 10*g - 4*g) to the form o + d*g + a*g**2 and give a.\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 2640\/150 - (-254)\/10?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 759, 3102, 7045, 12594, 19755, 28534, 38937?\nAnswer: 50970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + i**3 + 22*i + 8*i - 32*i as x*i**3 + g + z*i + b*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 867 or -155208?\nAnswer: -155208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 4842487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, n: 6, s: 3, x: 5}. What is prob of picking 2 n and 1 x?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4587\/(-5004))\/((-17)\/(-1224))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 901926533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*x - 5089 = -21*x - 49 for x.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 44246294.\nAnswer: 176985176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -78, -181, -328, -519?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -3 (c) 397 (d) -2\/7 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/1 - 2) + (-164)\/(-18) and -34\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -6, 20, 66, 138?\n\"Answer: b**3 + b**2 + 2*b - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 896\/14 + (-1 - -4). Let v = 59 - o. Let p = v - -71. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 + 10*a**2 + 5*a**2 + 14*a**2. Let m(p) = p**2. Give m(i(l)).\nAnswer: 1369*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -86\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*l + l. Let s(o) = 92*o - 35*o - 19*o - 21*o - 37*o - 13. Is s(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9290 is divided by 1354?\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 15. Suppose -3 = -3*u - 3*p, -2*u - b*p + 0*p = 0. Solve 4*j = u*f - 21, f = -0*j + 3*j + 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11640 and 419040?\nAnswer: 419040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2828*q**2 - 4*q + 0*q - 2833*q**2 + 4*q.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 911 = -527. Let z = 1353\/7 - f. Suppose 9\/7*x**3 - 3\/7*x**4 - z*x**2 + 3\/7*x + 0 = 0. What is x?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/2 + 544797*s\/2 + 272399.\nAnswer: -(s - 544798)*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4062 is divided by 107.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 156556 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 957, -1, 2, -2, -6, -3 in ascending order.\nAnswer: -6, -3, -2, -1, 2, 957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(9)\/sqrt(3)*-3 - (sqrt(192) + sqrt(192)*-2 + sqrt(192))))**2 - (5*sqrt(3)*3 - (sqrt(48) + -4))**2.\nAnswer: -88*sqrt(3) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 2*m + 4*m + (0 - 2 + 4)*(0*m - 2*m + 0*m) - 15*m + 8 - 8 - 6*m + 2*m + 2*m - 1 + 1 + 2*m + (-2 + 0 + 0)*(-4*m + 0*m + 3*m).\nAnswer: -19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 902?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 8:23 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8302576733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvnn. What is prob of picking 1 n and 3 v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3165\/(-15))\/((-1)\/(-2)). Are -422 and u unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(4*z - 3*z + z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5415, 2, -4, 26, 5, -1.\nAnswer: -5415, -4, -1, 0, 2, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-2)\/6 + (-10)\/(-30) - -855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - 7 = 0. Suppose 0 = -4*o - 3*c - 6 - 5, -2*o + 3*c + 17 = 0. Let t = o + v. Calculate the smallest common multiple of t and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 1001011111?\nAnswer: -1001100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 477*u**2 - 12*u + 1908 = 0. Calculate u.\nAnswer: -2, 2, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24265134 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 187 (c) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8 - 161*t - 6*t**2 + 6*t**2 + 153*t + t**3. Let m be g(-3). Suppose -2\/7*c + 12\/7*c**2 + 4\/7*c**3 - 2\/7*c**m - 6\/7*c**4 - 6\/7 = 0. What is c?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119706?\nAnswer: 2, 3, 71, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -50, -117, -210, -329, -474, -645?\nAnswer: -842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*k*s**2 - k*s*z - 2*k + 525*s**2*z + s*z - 2*z wrt s?\nAnswer: 4*k + 1050*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*f**2 - 66*f**2 - 93*f + 141*f**2 + 1 wrt f.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.016 + -40.424. What is w rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 354*s + 5021. Calculate the remainder when 653 is divided by z(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.19, 0, 58393, 2\/15?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 8. Suppose -20 - 20 = -4*i. Let k = i + l. Calculate the greatest common factor of k and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -3\/2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -367, 0.08, 1, 961, -3, -5?\nAnswer: 961","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -80 - (67 - (-6 + 53)) - 19.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**3 - 19*v**2 + 10*v + 251. Is r(-29) a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42701 is divided by 70?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/7, -2, -1\/2, -2\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -0.42 (c) 53 (d) 0.1 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -13.1822\nAnswer: -7.90932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 21. Is w less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 22\/(-66) + 3\/63. Which is the nearest to h? (a) 4 (b) -1\/6 (c) -13 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 4:58 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 434383058 to the power of 1\/2, to the nearest integer?\nAnswer: 20842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*k - 156 - 26 = 98 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -72 + 32. Let p be (-38)\/(7\/3 + -3). Let s = p + r. Calculate the greatest common factor of 119 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {f: 1, r: 3, s: 2, u: 3, t: 1, d: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (2 + -6 + 14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - -5)*(-2)\/4. Let h be (-2)\/14*(-2)\/1. Let f be (42\/9)\/7 + 52\/(-117). What is the nearest to h in -1\/3, f, c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50307\/(-2863))\/((-60)\/35).\nAnswer: 41\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 23408581, 46817162, 70225743, 93634324?\n\"Answer: 23408581*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 + 29*q**2 - 17*q - 14. Let z be b(-15). Suppose 1 = -l - 3, z = 2*m + l. Solve r + m = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4315 - 4320. Sort d, 4, 437 in descending order.\nAnswer: 437, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39924 or 1157781\/29?\nAnswer: 1157781\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 54dad47?\nAnswer: -54dad44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 11) to base 10\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16852 and 8591.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -5*h - 11 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h + 6. Let j be q(-4). Let t = 10 - j. Is ((-21)\/(-6))\/(t\/184) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5456 rounded to 1 decimal place?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -33, -3, -348 in decreasing order.\nAnswer: 0.3, -3, -33, -348","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 263 divide 646744143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44076\/(-2754) + (24\/36 - 395\/(-15) - 11)\nAnswer: -2\/459","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**3\/6 + 7*a**2\/2 - 2*a. Let y(q) = -q**2 + 32*q - 60. Let r be y(2). Determine s(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 7. Suppose 4*q - 2*q + 4 = 2*z, z + 3*q = g. Suppose 4*c = -5*s + 2*c + 360, z*c = -s + 80. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1643 by -4.\nAnswer: 1643\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 0.4 (b) 10\/41 (c) -5 (d) 5 (e) -2\/9 (f) -21\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3545 - -3550) + (-1 - (-1 + 50))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51821 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 10*m + 35. Calculate f(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c930 (base 15) in base 16?\nAnswer: -16c0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 2045?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 3*j**2 - 27*j + 92. Calculate c(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(700)*-4 + sqrt(700))*1)**2 + ((sqrt(700)*-3)**2 - (3 + sqrt(49)\/sqrt(7))).\nAnswer: -301*sqrt(7) + 12622","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293792 to the nearest integer?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5958 - -5.\nAnswer: -5953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4444044 divided by 1?\nAnswer: -4444044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 32*t + 490. What is the tens digit of j(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 17 + 0*q - 5*q - 96 + q.\nAnswer: -2*q - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 104613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4286 > 4286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = -8*f - 558 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3854520 and 548630?\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 49*l**3 + 375*l**3 - 1.\nAnswer: 326*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 322101452 - 144?\nAnswer: 322101304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107660414 is divided by 26915092.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-28))\/((-741)\/(-1729))*(-378)\/(-9)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o - 15. Suppose 5*k - 27 = 3. Is y(k) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1248*r - 15465. Calculate g(14).\nAnswer: 2007","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 6*y**2 + 8*y**2 + 3*y**3 - 16*y**2 - y**4 = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 13*l + 2. Let a(i) = -16*i**2 + 65*i - 10. Let y(n) = 2*a(n) + 11*p(n). What is the tens digit of y(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.68 times -121?\nAnswer: 82.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -1)*11\/77*2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6383?\nAnswer: 13, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*b = 164*b + 8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 2*k. Let z(t) = t. Let h(d) = -2*y(d) + 4*z(d). Let b(r) be the second derivative of -16*r**3 - r + 13. Give b(h(u)).\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (9 + 8 - 29) - 18.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2100)*-2 + sqrt(21))\/(sqrt(9)\/sqrt(3)*-6 - sqrt(3)).\nAnswer: 19*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 127 + -64. Let y be 1395\/m - (6\/(-14))\/(-3). Let s = 182 - y. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3011622 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -6*j + 10. Let p(l) = -l + 1. Give 40*p(w) - 4*x(w).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**3 - 3*l**3 - 2*l**3 - l**3 - 2*l**3 + l**3 + 0*l**3 - 5*l**3 + 2*l**3 + (3 - 5 + 1)*(l**2 - l**2 + 2*l**3) - 6*l**3 + 3*l**3 + l**3.\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 3*s. Let f(c) = c + 1. Let w be f(5). Let z be -3 + w\/(-3 + 5). Sort z, s, -1 in descending order.\nAnswer: s, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 3*w**4 - 8958*w**3 - 8973*w**2 + 35832*w + 35844 = 0.\nAnswer: -2, -1, 2, 2987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*q = -24*q + 3*i - 20, -q + 4*i = 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231145.\nAnswer: 5, 73, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -12*x + 32*x + 22*x. What is the nearest to x in 0.3, 3\/46, -1\/51, 2?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-102)\/68 + (-1)\/2. Let f(k) be the first derivative of -3*k**2\/2 - 3*k - 2. Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 8. Put 5, -4, t in ascending order.\nAnswer: -4, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*g*w**3 - g + 96*w**3 - 8*w**2 - 2 wrt w.\nAnswer: -18*g + 576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/2 (b) 2 (c) 4 (d) -16838 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20020959 to the nearest integer?\nAnswer: 4474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.03, 1\/2, -3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j**4 + 5*j - 5*j)*(4 - 2 + 0) - 2*j**4 - 9*j - j + 8*j + (-2*j**2 + 3*j**2 - 2*j**2)*(3*j + j**2 - 3*j).\nAnswer: 5*j**4 - 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**4\/24 - 2*p**2. Let w(a) be the second derivative of 7*a**4\/12 - 7*a. Give k(w(r)).\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*x)*(0 - 5 + 4 + 20*x).\nAnswer: -40*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -14. Suppose b*l = -7 + 2. Let k be 25\/(1 + (-1 - l)). What is the highest common divisor of 5 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 18, g: 2}. Give prob of sequence iiii.\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1405, -1532, -1725, -1972, -2261?\n\"Answer: 2*o**3 - 45*o**2 - 6*o - 1356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/5)\/((-15)\/100). Let w be (-4)\/6 - m\/(-42). Let d be 1\/((-26)\/22) - -1. What is the nearest to -1 in 2\/5, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -327896125, -655792254, -983688383, -1311584512, -1639480641?\n\"Answer: -327896129*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-6 - -2 - (-36 - -42))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -385 - -518 - (22 + 91).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 30*u**2 - 46*u + 1. List the prime factors of j(5).\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5868 + b**2 - 3516 - 2352.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 divided by -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -5\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006757 to 7 decimal places.\nAnswer: 0.0000068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-12) + (-1197)\/54. Let l be 38\/(-209) + (-136)\/h. Solve 4 = -l*g + 8*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1072, 2145, 3216, 4285, 5352, 6417, 7480?\nAnswer: 8541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -7*g + 2*g. Solve -11*w + 4 + 4*w**g - 4*w**2 - 3*w + 6*w**2 = 0.\nAnswer: 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5522*t - 2752*t - 494 = 2732*t for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**4\/5 - 1886*o**3\/5 - 9413*o**2\/5 - 15052*o\/5 - 7524\/5 = 0. What is o?\nAnswer: -1881, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + ((-14)\/21 - -5). Let v = q + -24. Let x be 1\/(-5) - 4\/v. Which is bigger: -2\/57 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 9*c**2 - 13*c - 21. Suppose k - d = -12, -4*k - 3*d = 29 + 5. Let j be y(k). Solve -j*r = -10 + 1 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*x, 7*x + 7 = -j + 4*x. Suppose -3*d - 10 = 4*p, 0 = -4*d + 2*p - 4 - 2. Let o = d + 14. Solve 2*k + j*k - o = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - 4249996 = 5*h, 4*h - 5*a + 3399980 = 0. Round h to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7873 or 3?\nAnswer: 7873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-5))\/(4\/10). Let y(x) be the first derivative of -x**4\/4 + 4*x**3\/3 + x**2 - 3*x - 1. Let r be y(4). Put b, r, -4 in decreasing order.\nAnswer: r, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -135. Suppose 0 = 2*h + 18 - u. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/10 - 4\/(-10). Is 4 a factor of (-2)\/c + (-175)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 19*q**8\/28 - 11*q**4\/6 - 13*q. What is the third derivative of a(w) wrt w?\nAnswer: 4560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -137767*c - 2606. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11 + 1)*(-1 - 2 + 2)*(z**2 - 2*z**2 + 0*z**2).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 3 = -2*a. Let v = 63 + a. What is the remainder when 105 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 507 - 270. Suppose -y = -0*y - g. Calculate the remainder when y is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212728 by 53182.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -10, -193, -0.01, 5, 26?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141 - 153 = -3*g. Suppose -3*f - 3*r = -40 - g, 2*r = 5*f - 223. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 14. Suppose y*x = -22 + 169. Calculate the remainder when x is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(-5*n + 0*n + 3*n)*(3*n**3 + n**3 - 3*n**3).\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*r**4 - 5*r**4 + 2*r**4)*(-4*r + 4*r + r) + 3*r**5 + 0*r**5 - r**5)*(8 - 2 - 3)*(2 + 2 - 2).\nAnswer: 24*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260781579.\nAnswer: 3, 31, 311567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 623 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 388 + 141. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.28 + -0.3. Let h = -39616\/9 + 82619\/18. Let l = -188 + h. Which is the third biggest value? (a) l (b) i (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 27*c**2 + 4*c + 33. Let a be i(-27). Let b = -51 - a. Which is bigger: 22 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2387*o - 2392*o + 130 = 0. Let i be (62\/6)\/(2\/6). Suppose -i*l + o*l - 120 = 0. Which is the biggest value? (a) -1 (b) l (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33308, 33305, 33302, 33299?\nAnswer: 33296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 39280309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*p + v, -11 = 4*v + 9. Let i be (p - 4\/(-12))*-3. What is the second derivative of -c + i*c**3 - c - c**3 - 3*c**3 wrt c?\nAnswer: -12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-240))\/(((-32)\/60)\/(32 + 1222\/(-39))).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*v - 38*v - 386 - 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -808*h**2*o**2*r**3 + 2*h*o**2*r**3 + 6*h*o**2*r**2 - 18*h*o*r**3 + 2*h*r**2 wrt h.\nAnswer: -1616*o**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 5*t - 1560 = 0, 4*b - 6*b - 3*t - 644 = 0. Let l = b - -695. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + -2*sqrt(152)*2 + ((sqrt(152) - -1*sqrt(152))*5 - sqrt(152)))\/(-2*sqrt(128) - (sqrt(280)\/sqrt(5))\/sqrt(7)).\nAnswer: -2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**3*v*w - 8*u**3*v + 130*u**3*w + 32*u**3 - 2378*u**2*v*w - 24*u**2*v + 12*u wrt u.\nAnswer: 6*v*w - 48*v + 780*w + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 269 + 234. Which is the second smallest value? (a) v (b) 5\/4 (c) 43 (d) -3 (e) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -139*q + 301*q - 160*q. Let r(n) = -1029*n. What is w(r(s))?\nAnswer: -2058*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, 11, 44, 91, 152, 227, 316?\nAnswer: 419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 4*b - m, -5*b + 678*m - 90 = 676*m for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3 - 80*z**2 + 544*z - 1024 = 0.\nAnswer: 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 702 a factor of 90184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-302)\/1661 - (102\/286 + -1). Suppose 0 - 2\/13*d - q*d**2 = 0. Calculate d.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4760?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:47 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d + 5*d - 3*d + (-16*d + 36*d + 16*d)*(23 + 76 - 26).\nAnswer: 2629*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1341.8 - 14.6\nAnswer: -1356.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 9:01 PM?\nAnswer: 11:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 801.6652 micrograms in milligrams?\nAnswer: 0.8016652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d**2 + 5*d + 3. Let v(j) = 7*j**2 - 8*j - 5. What is -5*v(t) - 8*z(t)?\nAnswer: 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32435 (base 7) to base 16.\nAnswer: -1faf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*k**2*z**2 - 342792*k**2 + 105*k*z**2 - 2*k*z - k - 8*z**2 + z + 2526 wrt k.\nAnswer: -50*z**2 - 685584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s - 50. Calculate j(-27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53)\/(-17) + ((-133)\/119 - -1). What is the second biggest value in -1\/7, -0.06, p?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1046532 (base 10) in base 9?\nAnswer: -1864513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*-156\nAnswer: 20.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 791*a*d**2*k + 2*a*d*k**2 - a*d + 48590*a*k**2 + 5*d**2*k**2 - 354*d**2 + 2*d*k**2 + 142*d wrt d?\nAnswer: 1582*a*k + 10*k**2 - 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by 7127.\nAnswer: 18\/7127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 3)*1\/(-2). Let w = 5251815\/334 + -15724. Which is greater: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -10*g + 30. Let o(y) = g - 81*y - 10 + 87*y. Let h(w) = 13*w - 11. What is -4*h(s) + 9*o(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-8)*(-30)\/9. Let x be (12\/60 + 2\/(-10))\/1. Which is bigger: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2062301, 4124591, 6186879, 8249165, 10311449?\nAnswer: 12373731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 231 and 33627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 - 4 + 4 + (-1 - 2*c + 1)*(-2*c**2 + 5*c**2 - c**2) + (-c + 3*c - c)*(0*c**2 + 3*c**2 + 0*c**2).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-9)\/(-3))\/(-3))\/1. Let t(k) = 80*k + 10. Let m(z) = 53*z + 7. Let y(w) = 7*m(w) - 5*t(w). Is y(b) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**2 - 13682444*q - 46802318453284 = 0. What is q?\nAnswer: -6841222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11*f*v**3 + 1242614*f*v**2 + f*v - 152700603*f wrt v?\nAnswer: -33*f*v**2 + 2485228*f*v + f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011220221 + -22?\nAnswer: 1011220133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 440?\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/19855 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(1\/3)\/w))\/(w\/(((w**(-3)\/w*w)\/w*w)\/w)*w*w*w)*w**1*w*w**(-5))\/(w**7*w*w*w**(-11))**6 assuming w is positive.\nAnswer: w**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1034525 * -3.\nAnswer: -3.3103575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 9) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07050857892 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 63552499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**7\/16380 - g**6\/2340 + 2*g**5\/195 - 15*g**4\/2 + 12*g + 2. Let c(s) be the third derivative of k(s). Factor c(f).\nAnswer: -2*(f - 2)*(f + 4)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5874 divided by -6?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(5\/2)*u*u*u*u\/(u*(u*u*u\/(u*u*u*u**(-6)))\/u*u))\/(u\/(u\/(u**0*u)))**(2\/5))\/(((u*u**(-1))\/u)**(-40)\/(u**2*u*u**(1\/4)*u*u)) assuming u is positive.\nAnswer: u**(-713\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 809\/18 (c) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27416?\nAnswer: 2, 23, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2031*j + 8203. Calculate g(-4).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n + 102. Let f be c(-33). Solve 2*v - 3*t + 6 = -8*t, 3*t = f*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 3. Let z(x) = -4*x**2 - 193*x + 5051. What is the remainder when z(-67) is divided by h\/((-2)\/44*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -5*b + 2*j, -b = 2*j - 105 + 119. Let v = 82 + -45. Suppose -2*c = 7 - v. Solve q = -b*q + c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -76. Let f = -72 - j. Calculate the remainder when 75 is divided by (-3 + 7)*f\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.4, -193, -0.7 in ascending order.\nAnswer: -193, -0.7, 0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1000 is divided by 123.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5556 + 82*z**2 - 5405 + 10961.\nAnswer: 82*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*v**2)*(-3 - 1 - 1)*(2*v + v - 2*v) - 5 + 5 - v**3 - 2*v**3 + 3*v**3 - 3*v**3 + (v - v - 2*v)*(2*v**2 + 2*v - 2*v) + 6*v**3 - 3*v**3 + v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 5*q + 7. Let j be 13 + 2*1\/(-2). Is m(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(-2)\/3*2. Suppose -32 = 4*y - 4*l, -5*l + 6 + b = 0. Let h(z) = -10*z - 6 - 23*z + 32*z. Calculate h(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 26. Let y be 3 + 0 - (-6)\/(-6). Let p be (-16)\/(-64) + (-1)\/y. Which is the nearest to 1? (a) p (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 631, 2546, 5747, 10234, 16007?\nAnswer: 23066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a**4 - 485 - 490 - a**2 + 978 - 2*a in the form v + b*a**4 + h*a**2 + o*a + g*a**3 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/2 - (1 - 2). Let b(x) = h*x - x + x. Let g(k) = -k. Give b(g(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -1 + 8 + (-16 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2157.77776 times 0.4?\nAnswer: 863.111104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 521 to the power of 1\/2, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -389855 = 86*m - 123627855. What is m rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2. Let y = 5 + -1. Suppose -23*s = -21 - 25. Let w(d) = -y*d**2 - 11*d**s + 37*d**2. Calculate v(w(b)).\nAnswer: 484*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8218.664 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 738 - 738.1. Which is the fourth biggest value? (a) -11 (b) 2 (c) p (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 2*p = 210, 2*m + p - 75 = 0. What is the highest common divisor of m and 440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9*-303.3176\nAnswer: -2729.8584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38077 and 377.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 393 = -5*l, 8*y + l = 4*y + 1467. Suppose -2*g + 218 = -y. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4869979384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 186, 4, 0, 557 in ascending order.\nAnswer: 0, 4, 186, 557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejo when three letters picked without replacement from {j: 3, e: 2, g: 4, o: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 359, 748, 1169, 1622, 2107, 2624, 3173?\n\"Answer: 16*m**2 + 341*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.53498 litres in millilitres?\nAnswer: 46534.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 5*z**2 - 1710141880*z + 146229262486496720 = 0.\nAnswer: 171014188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10471 divide 2640021817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1536 (b) 1886 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + -0.06. Let u = -5 + 6. Which is the nearest to u? (a) 4 (b) -0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.833 rounded to 1 dp?\nAnswer: 9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -529.29669 rounded to one decimal place?\nAnswer: -529.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7038 and 127006.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.246 + 0.044. Let g = -2.29 + z. What is the smallest value in 0.2, 2, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s. Suppose 48 = 4*p + 4*v, -4 = -2*p - 5*v + 23. Let b(o) = o**3 + 6*o + 11*o**2 - p*o**2 - 3. What is -b(y) + 6*u(y)?\nAnswer: -y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002046 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 14*p**2 - 71*p + 19. What is a(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 25018398?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -218 - -218.0000249. Round k to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*s + 5 = 0, 3*c + 2*s - 5*s = -3. Suppose c = 2*x - 130 + 52. Suppose 3*u - k - 39 = 92, -x = -u + 5*k. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u**2 + u**2 + u**2)*(-4 + 5 - 4) + (22 + 13*u - 22)*(539 - 539 + 25*u) to n*u**2 + p + t*u and give n.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1348, -4986, -11050, -19540, -30456, -43798?\n\"Answer: -1213*v**2 + v - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971759051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43101 is divided by 2157.\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -52875*h**2. Let x(b) = -433*b. Determine x(m(r)).\nAnswer: 22894875*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*h**2 + 75 - 75 + (-39 - 1 - 1)*(2*h**2 - 2*h**2 - h**2)*(-3 + 1 + 0).\nAnswer: -105*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001991140863 to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**3\/9 + 697*p**2\/3 - 485809*p\/3 - 1763. Suppose m(l) = 0. Calculate l.\nAnswer: 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 1211112?\nAnswer: -1211201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {d: 10, p: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2608.8764 rounded to the nearest 10?\nAnswer: -2610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*u - 39 = 0, 3*u = 3*o + 293 - 350. Solve 64 + 48 = o*z for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*h + 0)*(-3*h + 1 + 4*h - 2*h) + (5*h - 2*h - h)*(-63*h + 178*h + 305*h) in the form s*h**2 + k*h + v and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + z = -7, -1981*i - 5*z = -1983*i - 31 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -4*s**4 + 292*s**3 - 4524*s**2 - 30420*s = 0.\nAnswer: -5, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.386674918 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 1. Let n(z) = -19*z + 8. Suppose 27*a - 7*a + 348 = 78*a. Determine a*v(x) + n(x).\nAnswer: -25*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.635868ml?\nAnswer: 0.004635868","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 158729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3 + 99190*w**2 + 11987587*w + 23578422 = 0.\nAnswer: -99069, -119, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d**2 - 4*d + 3. Let h be v(-1). What is the hundreds digit of (3 - h)*-767*1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -10*v + 1. Let a(s) = 2*s - 4. Let t be a(3). Let c be k(t). Let u = -9 - c. What is the least common multiple of u and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/12)\/4 + (-76)\/(-6). Let a be (2 - 20\/d)\/(2\/(-6)). Let n(k) = 3*k**2 + 2*k + 1. Calculate n(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 81 - (1189 + -1122)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -123972*n**4 + n**2 + 3026*n + 5?\nAnswer: -2975328*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5193?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -332551 (base 6) to base 15\nAnswer: -83c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4 + 1308*k**3 - 21468*k**2 + 102768*k - 130176 = 0. Calculate k.\nAnswer: -452, 2, 6, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124 - -1?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 308*y**2 + 1374*y - 2748. What are the prime factors of d(2)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-137 + 137 + 27*w)*(-1717 - 42*w + 859 + 51*w**2 + 858).\nAnswer: 1377*w**3 - 1134*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u**2 + 50*u + 32. Let m be b(-25). Solve -10 + 138 = -m*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g + 9. Let q(d) = -2*d + 4. Let l(w) = -4*m(w) + 9*q(w). Let u(v) = -7*v. What is l(u(t))?\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-2*(0 + sqrt(4400)) - sqrt(4400)) + 5).\nAnswer: -120*sqrt(11) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**3\/3 - 1. Let h(n) = 7*n - 11435 - 11411 + 22850 - n. Give k(h(v)).\nAnswer: -36*v**2 - 48*v - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 559, 561, 563, 565?\nAnswer: 567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n + n = 70. Suppose -5*r - n = 2*g, -2*g + 18 - 4 = -2*r. Solve -2*j + 9 = h, j + 21 = 4*j + g*h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -8. Solve h + 4*a = -17 - g, 3*h - 2*a = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 266*u - 261*u + 20, 0 = -3*t + 3*u - 63 + 99 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 161556 (base 10) to base 11.\nAnswer: 10041a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -17 + 18 - 463*q + 460*q. Let i(o) = o**2 - o. Calculate -3*i(g) + s(g).\nAnswer: -3*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-40)*(-56)\/(65\/(7280\/(-504))).\nAnswer: 28\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rppeppprperreppr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/2 - 12*j**2 - 45*j\/2 - 11.\nAnswer: -(j + 1)**2*(j + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*r, 0 = 3*d + 3*r - r - 8. Suppose -3*o - d*m + 15 = -0*m, -2*m - 6 = 0. Is o a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0663 + -0.3337. Sort 2, -1\/16, v, -4 in descending order.\nAnswer: 2, -1\/16, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*r - 38 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 144 = -24. Let o = 174 + f. Let s = -92 + o. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -922, -930, -938, -946, -954, -962?\nAnswer: -970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1030944853 to the nearest integer?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.4114062 * -1.\nAnswer: 10.4114062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 74 - 52. Let n = -13 + u. Calculate the remainder when 16 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -251614 + -5?\nAnswer: -251622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (63 - 3)*(3705\/(-20))\/13. Is o != -854?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102 - 546\nAnswer: -444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 4*x. Suppose 133*y = 40*y - 465. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8896.843 litres in millilitres?\nAnswer: 8896843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2284677.\nAnswer: 3, 253853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 4*z - 7*z - 19, 0 = -b + 4*z + 17. Suppose -k = 22*v - 19*v - 15397, 0 = b*k + 5*v - 77005. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-275)\/90675*-72 + (-6)\/93 + (-1720)\/26.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 18666*x**4 - 224280*x**3 - 897504*x**2 - 1196928*x.\nAnswer: 3*x*(x - 6234)*(x + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 5:51 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 274458, 548920, 823384, 1097850?\nAnswer: 1372318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 3, 0.4, -1718, 2\/15, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -25 at most as big as -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*p - 5. Solve 0 = -p*b + 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669538.\nAnswer: 2, 31, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 6) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 m when two letters picked without replacement from {m: 1, f: 3, p: 1, e: 1, a: 4, n: 5}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 831 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r + 37. Let d be y(7). What is the greatest common divisor of 1 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223342 is divided by 142.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -9220.\nAnswer: 19\/9220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 20*l\/7.\nAnswer: -4*l*(l + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - n - 21, -3*n + n - 21 = -3*o. Calculate the highest common factor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -4*d**3\/3 - 5937. Let k(c) = 12*c**2 + 10*c - 10*c. Determine i(k(w)).\nAnswer: -576*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 14*q - 404 = 109*u, 5*u = -3*q - 44 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1246*j - 768690 = -18328*j for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*a - 96 = -101*a for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3*s = 15, 2*s = -2*y - 0*s - 10. Let n be 0 - (0\/(-2) + y). Suppose l - 7 + 2 = n. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(-1*1*sqrt(1100) - (sqrt(1100) + (sqrt(1100) - -5*sqrt(1100)*1))))**2.\nAnswer: 22809600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 7 - 3 = -4*b, -b - 3 = -m. What is the lowest common multiple of (m\/(-2))\/(-1) - -6 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (-3)\/(28\/20 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 143 + -143.4. Let m = x + 0.3. Which is the nearest to m? (a) 10 (b) -2\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 150*d**2 - 17 - 4 + 21 + 101*d**2 in the form h*d**2 + v + w*d and give h.\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 830 - 828. Let o be 1*135\/6*a. Calculate the greatest common factor of 4 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072426933 rounded to five dps?\nAnswer: 0.07243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-10))\/(((-84)\/(-30))\/(-7))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3991350 divided by -3\nAnswer: 1330450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 3 + 3)*(-1228*l**2 + 1228*l**2 + 290*l**4).\nAnswer: -1160*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.49 + -0.09. Let q = -2.8 - s. Round q to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*2*-1*sqrt(143))\/(sqrt(396) - (-1*sqrt(396) + sqrt(396))*-3))**2*3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*u - 4*x + 7, -5*u - 34 = -x - 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -12. Let r = 5.1 + 0.5. Let z = m - r. Put z, -0.3, 0.2 in decreasing order.\nAnswer: z, 0.2, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*p**2 + 176178 - 176178 - 15*p**3 - 6*p**2.\nAnswer: -15*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/204 and 47\/891.\nAnswer: 60588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -14 (c) -2 (d) -148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**3 - 3*n**2 + 2*n - 1. Suppose -4*p = -p + 18. Let u = 2 - p. Let g = -29 - -26. Let m(y) = 14*y**3 - 8*y**2 + 6*y - 3. What is g*m(r) + u*v(r)?\nAnswer: -2*r**3 - 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 0.3, 9, -8 in increasing order.\nAnswer: -8, 0, 0.3, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 8719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -257, -507, -711, -869, -981, -1047, -1067?\n\"Answer: 23*f**2 - 319*f + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**3 - 32*w**2 - 252*w + 71. Determine l(22).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2696 or 2701?\nAnswer: 2701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5cd72 (base 15) in base 4?\nAnswer: -1020123101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1155768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-25)\/1*4\/(-10). Let l(h) = h**2 - 9*h - 7. Let r be l(j). Put -1, r, 2 in decreasing order.\nAnswer: r, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d + d**2 + 2*d + (5*d - 3*d - 3*d)*(-11*d - 8*d - 3*d).\nAnswer: 23*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-84))\/((-4)\/(-7)). Sort -5, n, -4\/5 in decreasing order.\nAnswer: n, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000434 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 95*c - 4220. What is the least common multiple of 2586 and u(-33)?\nAnswer: 5172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -21 (c) 4 (d) 5\/356\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 52139907?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 275758 and 53844.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from popwwwyoqwpqpp. Give prob of picking 1 p and 1 y.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 2. Let o = -4.05 + 0.05. Let h = -0.29 + 0.59. What is the nearest to h in w, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + (34 - 33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**3 - 160*h**2 + 960*h + 46080.\nAnswer: -5*(h - 16)*(h + 24)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-13) + 2 + (-1579500216)\/117. Round y to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -387 + 381. Let o be -2 - (78\/v - -1). Solve -2*z + o = -0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1420*j - 1420*j - j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*h - 5, 0 = 3*k - h + 5*h - 35. What is the second derivative of -3*d**5 + 2*d + 2*d + 0*d**5 - d**k wrt d?\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 - 6480*k**2 + 32525*k = 0.\nAnswer: -1301, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**(3\/2)\/d))**(-2\/7))**(-17\/3)\/((d**(-1\/3))**(-38)*(d**(3\/7)\/d)\/(d**(-8)*d)) assuming d is positive.\nAnswer: d**(-418\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2955*n + 1265 + 232180 for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114692*d**2 + 229398*d**2 - 114690*d**2.\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65281066 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -19*b**2. Suppose 0 = 8*l + 175*l. Let z(c) be the third derivative of 0*c**3 + l*c + 1\/24*c**4 + 0 + 17*c**2. What is z(s(p))?\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**2 + 6*p - 15. Let l(o) = -8*o**2 + 19*o - 45. Let i(w) = 11*h(w) - 4*l(w). Let k be i(-11). Solve k*t = t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118853.\nAnswer: 7, 16979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*l**2 - 89*l**3 + 22*l**2 - 44*l**2 + 2*l**3.\nAnswer: -87*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29610?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ac + 9808f?\nAnswer: 97fe3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10020000 (base 3) to base 6\nAnswer: -14513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 219\/(-44333)*(-607304)\/288. Let i = a - 2\/44333. What is the common denominator of 17\/12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9*-0.121.\nAnswer: 0.1089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -106? (a) 5 (b) -0.74 (c) 2.9 (d) 0.3 (e) -1\/5 (f) -33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -332, -664, -996, -1328, -1660?\nAnswer: -1992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123584 is divided by 73?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -q - 3, 2*u = -3*q - 2*q - 15. Calculate the least common multiple of 16 and q*(-4)\/4 + 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(1053))**2 + (sqrt(1053)*2 + sqrt(1053))**2*5.\nAnswer: 18*sqrt(13) + 48439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**4 + m**3 - m**2 - 2*m - 2. Let d(i) = -338*i**5 - 2310*i**4 - 6162*i**3 - 7990*i**2 - 5054*i - 1254. Let u(r) = -2*c(r) + d(r). Factor u(x).\nAnswer: -2*(x + 1)**3*(13*x + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.144321 + -22008925?\nAnswer: -22008924.855679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j - 69*j = -252. Solve j*v - 5*w = 15, 4*w = 5*v - 26 + 1 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2222, -3258, -4292, -5324, -6354?\nAnswer: -7382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155 and 20305.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 2, i: 5}. Give prob of picking 2 n and 1 i.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 4*a**2 + 6*a + 22. Let r be h(0). Solve 4*w - 36 = r*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 222, 877, 1968, 3495, 5458, 7857, 10692?\n\"Answer: 218*l**2 + l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 13*f + 18. Is k(17) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9282895 or 9282880?\nAnswer: 9282880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*1202.\nAnswer: 10818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.025, 1498.7 in descending order.\nAnswer: 1498.7, -0.025, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53664 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 6 - (-20 - -7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 659804 and 327794.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 200 - 0. Suppose -w = 14*d + 136. Is -23 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1600*q + 200 = -1560*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.82 + 99223416.9.\nAnswer: 99223416.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/115 in -0.8185, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**0*q**10*q\/(q\/q**(2\/7)*q) assuming q is positive.\nAnswer: q**(65\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -704*d*l**3 - 125*d*l + 12*d + 137*l**2 + l + 3 wrt l.\nAnswer: -4224*d*l + 274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*y - 30 = 56 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*t**5 + 14\/5*t**2 + 48\/5*t - 46\/5*t**3 - 32\/5 + 18\/5*t**4 = 0. What is t?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 57999447?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000100000 (base 2) in base 10?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/100 of a millimeter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 476799622 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-72*n**2 - n - 1 - 4 + 70*n**2)*((-2 + 5 - 1)*(24 - 5 + 38) - 2 - 1 + 1) to d + p*n**2 + l*n and give d.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -36fd6 (base 16) to base 3\nAnswer: -102102222011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 83612271?\nAnswer: 83612274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 + 2*t + 2. Let g(o) be the second derivative of o**5\/20 - o**4\/12 - o**3\/3 - o**2 + 21*o. Let c be g(0). Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20 + u + u + u + u**2 - 3*u to the form s + t*u + p*u**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -29. Let g be (r\/(-6))\/((-1)\/3). Suppose 3*m = -3*y + 69, -g*y + 15 = -2*y. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-663)\/(-68)*(-1026)\/(-500175)\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s + 2*s**2 - 6*s**2 + 21*s**2 to the form c*s**2 + q + o*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 1:12 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 0.697?\nAnswer: 0.697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 5 = 5*y. Are 1 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 divided by 1?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**4 + b**3 - 8*b**2 + b + 1. Let t(i) = -619*i**4 - 5*i**3 + 84*i**2 - 5*i - 2. Let p(a) = -t(a) - 5*z(a). Find the third derivative of p(w) wrt w.\nAnswer: 14736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1096 is divided by 103.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 876*j - 575532 - 1\/3*j**2 = 0. Calculate j.\nAnswer: 1314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5 + 1 = 0, 10 = 3*a + i. What is the third derivative of 18*g**a + 41*g**2 - 21*g**2 + 13*g**3 wrt g?\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-3)*6\/4. Let l = 33 + -29. Suppose 0*s - 3*q + 16 = -h*s, -l*s - 12 = -2*q. What is the nearest to -0.1 in -3\/8, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13577\/10530 - 23\/405. Let u = g - 2\/13. Let j = 2.05 - 0.05. What is the smallest value in j, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113 a factor of 83664351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12849 - 12847. What is the second smallest value in g, -2\/27, -1\/3, -6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 492 - 486. Solve -4*d = -m, -4*d = -4*m - 6 - k for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-4 - -9))\/(100\/350)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14\/(-4) - 0)*18. Let z(s) = -10*s**2 - 159*s - 32. Let b be z(-15). Let w = b + y. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o + 4 + 11*o - 7)*(-2 - 4 + 4).\nAnswer: -10*o + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 107 - -176?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*m + 21*m + 33*m**3 + 25*m + 118*m**3.\nAnswer: 151*m**3 + 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*x + 14*x**2 + 12*x**2 - 33*x**2 wrt x.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:43 PM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (140\/490)\/((-4)\/(-85302))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 28*n - 137. Let l be h(5). Solve 0 = b - l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -113*y**2*z**2 + 173697*y**2*z - 45109741*z**2 with respect to y.\nAnswer: -226*y*z**2 + 347394*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2317127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -11, 5, -16 in decreasing order.\nAnswer: 5, -11, -16, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 83.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/60 and -1\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -o - 2*o. What is the highest common factor of 54 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -5583*q - 457. Let f be r(2). What is f rounded to the nearest 100?\nAnswer: -11600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -80 + 2*m - 184*m**4 + 80 - m**3 + 227*m**4 to the form g + t*m + j*m**4 + s*m**3 + x*m**2 and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288114?\nAnswer: 2, 3, 31, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 640314.8cm in nanometers?\nAnswer: 6403148000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*sqrt(5))**2*4 + 2.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3365 + 45*x**5 - 14*x**2 + 3365 - 7*x - 3*x**3 wrt x.\nAnswer: 2700*x**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1191300 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 11*o = s - 98235, 5*o - 3*s - 122798 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 equal to -416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 286, 368, 428, 466, 482?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 416?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/(-126) + 4\/14. Let c = 0.43 - 0.03. Let y be 3 + 2*2\/(-4). Put c, y, w in descending order.\nAnswer: y, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -1.54. Let l = -1.599993 - j. What is l rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6)*2 + 38\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -10 + 2 + -2 + -10?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*k + 20, -20 = -n + 3*n + 5*k. Suppose 3*x - 6 + 30 = n. What is the common denominator of 52\/3 - (-4)\/x and 7\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*q - 46502 = -22*q - 1446. Which is greater: 707 or q?\nAnswer: 707","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 - (5 - (-48348)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 16*k - 3*k + (-3*k + 2*k - k)*(5 + 0 - 4) + 0*k + 5*k - 6*k + k + 2 - 2 + k - 2*k + 2*k + 305 - 305 + 6*k in the form a*k + u and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 - 89 - 102 - 91 - 1233*s + 394 to the form m*s + u and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -388*z + 382*z. Suppose 5*u - 4*l + l = 13, -5*u + z = -5*l. Solve 2*r = -4*m - u*r, -m = -5*r - 6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5908*w**2 + 5924*w**2 - 1 + w - 25 to the form t + i*w**2 + b*w and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 39*k - 240. Calculate y(-45).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, p: 5, a: 2, w: 1}. Give prob of sequence ad.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -160\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -196630 rounded to the nearest one thousand?\nAnswer: -197000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 - 10*y - 31. Determine k(20).\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m. Let q be g(-5). Suppose -5*w = 2 + 3, q*t = -3*w - 33. Is 11 a factor of (-2)\/(-3) + (-62)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wmyd when four letters picked without replacement from {m: 5, w: 3, y: 1, d: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*m - 19 = -125, -5*w + 610 = -5*m. Let j(q) = -q**3 + 12*q**2 + 2*q - 16. Calculate the remainder when w is divided by j(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -79*g - 16 + 15*g - 7*g - 23*g. Let y(j) = 47*j + 8. Let s(f) = -3*h(f) - 7*y(f). What are the prime factors of s(-2)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-609)*(-208800)\/192\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -15130000 rounded to the nearest 1000000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1304520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57b - -42a0a?\nAnswer: 43086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -25035036*l. Let r(p) = 3*p. What is q(r(s))?\nAnswer: -75105108*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1183775 - 1321093157\/1116. Let x = -1\/124 - u. Let 0 + 0*g**3 - x*g**2 + 0*g + 2\/9*g**4 = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhxz when four letters picked without replacement from sussxxuhbzsus.\nAnswer: 1\/8580","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 2*o**2 - 17*o + 18. Calculate a(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 350057, 350047, 350015, 349949, 349837, 349667?\nAnswer: 349427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21.08 and -0.2421?\nAnswer: 5.103468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in months?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -11337828\/25 and -453513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u. Let k(v) = 2*v**2 - 17*v - 36. Calculate k(x(a)).\nAnswer: 288*a**2 - 204*a - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2255, -2807, -3369, -3941, -4523, -5115, -5717?\n\"Answer: -5*i**2 - 537*i - 1713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 - (-71 + -5 - 8) - (-3 - (-2 - 12)).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -57447, -57443, -57435, -57423, -57407, -57387?\n\"Answer: 2*n**2 - 2*n - 57447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/7, -4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w. Let l(j) be the second derivative of -j**4\/12 - 13*j**3\/6 + 17*j - 2. Determine 6*l(p) - 13*r(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + g + 1. What is h(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*t**2 - 6*t**2 + 0*t**2 - 9 wrt t?\nAnswer: -8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k = -9*k + 48. Let w(l) = 37*l**2 + 2*l. Let m be w(-2). Calculate the greatest common divisor of k and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.37 - -132.63. Let t = -147 + r. What is the third biggest value in -4, 0.1, t, -1\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8*((-5)\/(-36)*-3 + (-14)\/(-84)). Solve -5*z - 11*u = -16*u - 30, -2*z = f*u - 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*a + 1 = -4, -w - 4 = 4*a. Let x = -69 - -72. Is w != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 12*f**2 - 13*f + 13. Let x(i) = 3*i - 2. Let n be x(-3). Is q(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*w - 153. Let r be (12 - 165)*-3*1. What is the highest common factor of r and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 105\/70*30\/8 and -25\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/(-18) - -6) + 4\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182 is divided by 29?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/18 - (-2)\/3. Suppose b = -5*n + 4*a + 35, 4*n - 3*n + 3*a + 12 = 0. Find the second derivative of n*z + z**2 + 0*z**2 - z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -6. Suppose a = -w + 3*w - 80. What is the greatest common factor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide (-108)\/42*196\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6746176 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 1, 0.47, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*r = -33, 9*p = 4*p - 4*r + 57. Solve 4*u = u + p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106045223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 9*m - 9 = -12*m, -k + 9 = 3*m. Let l(t) = 12*t + 4. Let a be l(k). Let c(h) = 1 + 3 - 5*h + 3*h. Determine c(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)\/p)**(-46) assuming p is positive.\nAnswer: p**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*p - 2 = -186*p, -5*p = 8*g - 90 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37977, 75937, 113897, 151857, 189817, 227777?\n\"Answer: 37960*u + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 3 - 4 + 5)*(-7 - 4 - 7) as l + w*m and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55 minus 0.05?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j + 7. Let i be d(5). Let w = i + -20. Let b be ((w\/(-3))\/4)\/(-3). Which is greater: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3641*v**2 - 1355*v - 8 wrt v?\nAnswer: 7282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 86902, 86901, 86900?\n\"Answer: -p + 86903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3097, 3088, 3077, 3064, 3049, 3032?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 8, -13*n + 15*n - 4*y - 14 = 0. Let m(l) = 6 + 18*l + 18*l**2 - n*l**2 - 14*l**2. What is m(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.286? (a) -1 (b) 1597 (c) 2 (d) -0.14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807644 to the power of 1\/2, to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhrp when four letters picked without replacement from {f: 3, z: 1, r: 4, h: 8, p: 1}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160551812 to the power of 1\/2, to the nearest integer?\nAnswer: 12671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - q + 0)*(-1 + 3 + 0)*(-10*q**2 - 13*q**2 - 8*q**2) as l*q**2 + j*q + n + d*q**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/32491582 and 103\/9530.\nAnswer: 162457910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 262 + -137. Let n = g + -39. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) 101380 (c) 5\/3 (d) 5 (e) -1\/10 (f) 0.01\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(211*n + 7383 - 7383)*(-2*n + 2*n - n).\nAnswer: 422*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2744)*6)\/((3*sqrt(24))\/sqrt(3) - sqrt(8)))**2 + 5.\nAnswer: 3092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6749 + (11 - (-10)\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a - 7. Let s be u(-4). Let c be (2\/s)\/((-6)\/27). Suppose 0 = -c*j + 25 - 1. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 27 = t. Let x = t - -12. Is 7 a factor of (-2 + 89)*1 - x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -829 - -849. Calculate the remainder when 53 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 8, c: 2, l: 5}. Give prob of sequence eecl.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110) + sqrt(110)*-1*5)\/sqrt(10).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32\/9)\/8*(-576)\/(-16)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -429817\/18 + 23885. Find the common denominator of u and 63\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501 is divided by 156?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + -3 + -1*1. Let n = t - 1. Suppose -n*i + 0*i = 0. Solve i = s + 5*a + 21, 0 = 2*s + 2*a + 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0425 times -93\nAnswer: 3.9525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 2747, -3, 1.\nAnswer: -3, 1, 4, 17, 2747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4)\/a)**(10\/11))**(3\/29) assuming a is positive.\nAnswer: a**(-150\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 476587650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 7. Let z be l(-5). Is z - 0 - -7 - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 745215504 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**2*l*l*l**(4\/5) assuming l is positive.\nAnswer: l**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5096 (base 11) to base 12.\nAnswer: -3ab4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(700))*5.\nAnswer: -10 + 50*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(99) - -2*sqrt(99) - sqrt(99)))\/(sqrt(1944)\/sqrt(6)))**2.\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - 1)*(-8)\/(-16). Let u = y - -3. Which is smaller: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153922445 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 + 2*t**2 - 3*t + 3. Let d be f(0). Solve 4*r + 8 + 14 = -5*h, -d*h + 6 = -4*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9547 - -7962. Is g a multiple of 245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of 5*w**4\/24 + 2*w**2. Let u(l) = 7*l**2 + 5. Let c(s) = 4*s**2 + 3. Let m(p) = -5*c(p) + 3*u(p). Calculate m(i(n)).\nAnswer: 25*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 3*b**2 - 2*b + 2. Let n be g(0). Let h(j) = -j**3 + 3*j**2 - 5*j + 5. Let u be h(n). Let i(f) = 6*f + 1. What is i(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*31\/((-43896)\/(-59)).\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 0*f + 22\/7*f**2 + 9\/7*f**4 + 4*f**3 - 4\/35*f**5 - 40. Factor p(s).\nAnswer: -4*s*(s - 11)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 11\/7 (b) -2 (c) -0.21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15047?\nAnswer: 41, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, 2, -11, 0, -19 in increasing order.\nAnswer: -19, -11, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 736\/1915 + 6\/383. Determine a, given that 4\/5*a + g*a**2 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 270?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 188\/141 + 11\/(-15).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + 23 + -3 + -53 - (-2 - (2 + 3)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*i**3 + 2\/5*i**4 + 0 + 4\/5*i - 2\/5*i**2.\nAnswer: 2*i*(i - 2)*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -8*o**2 + o - 2. Let q(x) = 23*x**2 - 2*x + 7. Let j(r) = 8*c(r) + 3*q(r). Let i(m) = -4*m**2 - 2*m - 4. Let b(t) = -6*i(t) - 5*j(t). Factor b(s).\nAnswer: -(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 195*d**3*h**3*k**3 + 61*d**3*h*k + 2*d**2*h**3*k - 1188*d**2*h**3 + 3*d*k**2 + h**2*k**3 wrt d.\nAnswer: 1170*h**3*k**3 + 366*h*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94241*l**3 + 13*l**2 + 174*l + 2.\nAnswer: 565446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -17, -42, -89, -164, -273, -422, -617?\n\"Answer: -b**3 - 5*b**2 - 3*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3035 + 3043. Solve 2*b = -4, u*a = 3*a - 5*b - 25 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.95 - 0.05. Let d = o - -16.2. Let j(x) = x**3 + 4*x**2 + 2*x - 1. Let i be j(-2). Which is the second smallest value? (a) d (b) -1\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 + 292*y - 1644. Calculate b(-27).\nAnswer: -780","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znykybnhh. Give prob of sequence kn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-365)\/(-1022)*4\/(-5). What is the nearest to 75 in -0.4, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(1\/4)\/m))\/(m\/(m*m*m\/m**(1\/4)*m*m*m*m))*m**(-5)*m*m\/(m\/(m*m*m**(3\/4)\/m*m*m)))\/(m*m**2*m\/(m*m*m*m**(-3\/2)))**(-2\/105) assuming m is positive.\nAnswer: m**(613\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-106878)\/(-4169) + 0 + -26.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-1 + -1 - (118 - 121)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 4 - (12 + -12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*t + 7*t + 11310 - 11130 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54012964?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 80\/(-525) + 2\/(-15). Which is the biggest value? (a) w (b) -4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3320997 times 14?\nAnswer: -46493958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -592, -593, -594, -595, -596, -597?\n\"Answer: -n - 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540493 is divided by 89470?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*0.1318\nAnswer: -0.03954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.097 + 14.09. Let k = -0.227 - b. Let n = k - -0.95. Round n to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 262035.4394 to the nearest 10000.\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*k**5 - 720*k**4 - 205395*k**3 + 1265680*k**2 + 1470300*k = 0. What is k?\nAnswer: -58, -1, 0, 78\/11, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 4*r + 8. Let i be s(5). Suppose 5*q + h - 84 = 2*h, -i*q + 2*h + 56 = 0. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -5*x**2 - 17*x - 14. Let v(l) = 2*l**2 + 6*l + 5. Let d(c) = 6*q(c) + 17*v(c). Is d(2) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(13) - (1 + sqrt(13)*-1)) + sqrt(13))*4)**2 + 2)*-4.\nAnswer: -7560 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**7\/210 + d**6\/72 + 5*d**3\/3 - 3. Let v(q) be the third derivative of y(q). What is the third derivative of v(f) wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/79 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*1*sqrt(2450))\/(2*sqrt(490)*-1) + 1.\nAnswer: -sqrt(5)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-270))\/4)\/((-4)\/10)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Suppose 2*k - 2*o + 0*o = -6, 4*k + 3*o + 26 = 0. Let i = s - k. Solve -2*y - i = -5*u, u + y = -4*u + 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 + 9*z**3 + z**3 + 3*z**2 to p*z**2 + m*z**3 + h*z + d and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/10 + -121\/40. Which is the closest to -5\/3? (a) -1 (b) 0.4 (c) u (d) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(363))**2 + ((1*sqrt(363))\/sqrt(11))\/sqrt(11).\nAnswer: sqrt(3) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3753 is divided by 336?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 22*v - 53. Calculate the remainder when z(4) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-10166)\/(-8) - ((-207)\/36)\/23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 14*p**2 - 15*p + 5. Let r be w(-15). Let n(q) = 3*q - 18. Let d be n(13). Suppose 25 = 2*m + i - 17, -r*i + d = m. Does 21 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*j - 2*p + 70, -49 = -3*j + 2*p. Suppose -3*u + 3*i + 11 = -j, -u - 4*i = 12. Suppose 5 + u = s. Does 3 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-80)\/(-12) - (-2)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at most as big as -2744207?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 106 - 169. Let p = w + 142. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b*b\/b**2*b)*b**(-1)*((b\/(b*(b\/b**(7\/5)*b*b*b)\/b))\/b)\/(b*b**(-8\/3)))\/((b**(-1\/4))**(-38))**(3\/11) assuming b is positive.\nAnswer: b**(-1493\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**5 - 2*x**5 - 3*x**5 + (10 - 7 + 0)*(0 + 0 - 1)*(-39*x**3 + 59*x**2 - 59*x**2)*(-x**2 + 3*x**2 - 3*x**2).\nAnswer: -118*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (74 - 85) + 5 + 9 + 39 + -4 + 2\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and -2605500.\nAnswer: -2605503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -681.1 + 682.1. Which is the closest to o? (a) -2\/11 (b) 1 (c) -0.35 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 13. Let u be q(-9). Let l(x) = -x**3 + 5*x**2 - 2*x - 3. Let s be l(4). Which is the third biggest value? (a) s (b) -1\/4 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18000 and 488.\nAnswer: 1098000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4808*f**2 - 1447*f**2 - 3363*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66682?\nAnswer: 2, 7, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/402)\/(-1*4\/3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*m**4 + 920*m**2 - 57383*m wrt m?\nAnswer: 156*m**2 + 1840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c*c*c**(3\/20)*c*c*c)\/c))\/c*c*c*c**6)**48 assuming c is positive.\nAnswer: c**(924\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*r = -12. List the prime factors of (r - 0)*(-25)\/(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1036, 1296, 1570, 1864, 2184, 2536?\n\"Answer: d**3 + d**2 + 250*d + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610\/(-25)*(2 - (-1 - -8))?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-18)\/12)\/(4\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184558 is divided by 1357.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*d**2 - 30017797 + 30017797 - d**3.\nAnswer: -d**2*(d - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193 + -1354\/7. Let t = -0.1284 - 0.4946. Let l = -5.623 - t. What is the fourth smallest value in l, 0.1, 6, z?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 150 (c) -2\/3 (d) -3 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 4, r: 5, x: 9, l: 1}. What is prob of sequence lrx?\nAnswer: 1\/152","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*2\/36 - 19028\/1608?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**3 - 15*i**3 - 8*i**3)*(-i - 73 - 3*i + 52) as l*i**4 + y + g*i + c*i**2 + u*i**3 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -25220000 rounded to the nearest 1000000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 3*c**2 + 1. Let s(w) = -w**2 - 7*w - 3. Let u be s(-5). Suppose u*x - 3 = 6*x. What is the smallest common multiple of 6 and j(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28 > -4580\/157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 96\/(-28) + 4 - 297\/(-7). Suppose -p = 8*m + 37. Let c(k) = -11*k - 16. What is the tens digit of c(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 843\/4 + -833\/4. Which is the biggest value? (a) 2\/9 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32437596?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-225)\/20)*(-18)\/(-4). Let j = -13208 - -9866378\/747. Let s = -2255\/5229 + j. Which is the nearest to n? (a) 0.5 (b) s (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -6 - 14*u - 9\/2*u**2 + 1\/3*u**4 - 3\/2*u**3. Determine m, given that i(m) = 0.\nAnswer: -3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1791276493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2. Let r be k(2). Suppose r = b - 4*x + 3, -5*b + x = -x - 21. What is the third derivative of -4*u**5 - 4*u**5 - 2*u**2 + 0*u**2 + 6*u**b wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/5))\/c)**(-16) assuming c is positive.\nAnswer: c**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4107469?\nAnswer: 31, 132499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.2561 - 108.7539. Let p = -111 - j. Let n = -37\/7 - -157\/35. Which is the third smallest value? (a) n (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from ywwlyywlyw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 9. Suppose 2 = 15*f - 11*f + 5*k, 4*f - 2*k + 12 = 0. Let n(o) = -o + 2. Let a(z) = f*n(z) - r(z). Determine a(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 818.27 millennia?\nAnswer: 9819240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 664554255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -6*h**3 + 3\/5*h**5 + 24*h - 6*h**2 + 3\/4*h**4 + 14. Factor b(g).\nAnswer: 3*(g - 2)*(g - 1)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -3, -11 in increasing order.\nAnswer: -11, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0096358 to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-12) - 6\/8. Solve -5*p + m*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 286 - 278 = 0. Differentiate 124 + 4 - 11*w**4 + 0*w**z - 5*w + 0*w**4 wrt w.\nAnswer: -44*w**3 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 3*w**4\/4 - w**3\/3 + w**2\/2 - w + 1. Let v be j(2). Suppose 9 - v = -b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1694519 is divided by 188263.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 + -4)*-1*2\/4. Suppose 5*i = -0*i, 3*a = u*i + 1218. Suppose 0*h = -7*h + a. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144084 and 3192?\nAnswer: 38326344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20.4 and 15.\nAnswer: -5.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18)\/(sqrt(6) + sqrt(12)\/sqrt(2)) - (sqrt(3) + ((sqrt(300) + sqrt(12))\/sqrt(4))**2)) + -5)*3.\nAnswer: -339 - 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21892286 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205305368.\nAnswer: 2, 41, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1.5 (b) -2\/11 (c) -4\/563 (d) -51 (e) -0.1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*s = 41*s - 16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -11*z + 2. Let f(g) = -6*g + 1. Suppose -40 - 2 = 2*l. Let x = l + 14. Determine x*f(d) + 4*p(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 1465*b + 5*b**2 + 1466*b - 2919*b.\nAnswer: 4*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.72 rounded to zero dps?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0 - -4 - (-49 + 46) and 215?\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w. Suppose w = 4*u - 12, 176 - 7 = 2*k - 3*u. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53524562 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 3:22 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112513, 225023, 337521, 450001, 562457, 674883?\n\"Answer: -o**3 + 112517*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 5*q + 28, 65*x - 67*x - 2 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 10:00 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 1. Let l(i) = -6*i**2 - 6*i - 11. Let y(n) = -5*f(n) - l(n). Determine y(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -167*c**2 - 21*c + 34. Let o(b) = -42*b**2 - 5*b + 8. Let n(i) = 9*o(i) - 2*q(i). Find the second derivative of n(j) wrt j.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1262 - -1268. Suppose -4*w - 6 = -26. Suppose -21 = q + 3*q + w*o, 0 = 4*q + 2*o + 18. Which is the third smallest value? (a) 0.1 (b) r (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1606076919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 = 17*m - 1782 - 835. Calculate the least common multiple of m and 5.\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 - -124. Solve 23 = -5*m + z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.61836 to the nearest integer.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/759 and 101\/21864348.\nAnswer: 502880004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 2*q**5\/15 - 5*q**4\/24 - 4*q**3\/3 + 1429*q**2. Let n(x) = x**2 - x + 1. Give -j(m) + 6*n(m).\nAnswer: -2*m**2 - m + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 16*f - 1. Let s be r(1). Let j(w) = -w + 24. Is 3 a factor of j(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**3 + 61*a**2. Let m(q) = -5*q**3 + 60*q**2. Give -2*i(g) + 3*m(g).\nAnswer: -3*g**3 + 58*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2335656 millimeters in kilometers?\nAnswer: 0.0000002335656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12780*l**6 + 2*l**3 - l**2 - 47*l + 59?\nAnswer: 1533600*l**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -555968 by -69496.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2)*(-5 - 5). Let q = h - -19. Which is the biggest value? (a) q (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + 121. List the prime factors of (5 - (-44)\/(-4)) + m.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*t - 7 = 0, k = 3*t + 20 - 3. Suppose 0 = -v + 3*w - 2, k*w = -2*v + 12 + 6. Calculate the greatest common factor of v and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -144918\/67 - -2163. Are i and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/5 - 3\/(-15)) + -82. Let k = p - -331\/4. Suppose j - 10 = 3*j. What is the nearest to k in 4, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4034 (base 5) to base 6\nAnswer: -2223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/12 - 51\/(-9). Let p(l) = l**3 - 5*l**2 - l - 3. What is p(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7607.\nAnswer: 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 0*i - 5*i + 2*i + 3 - i**3. Let f(w) = 2*w**3 + 5*w - 5. Suppose 5*r - 5 = -5*z - 0, 0 = 5*z - 3*r - 21. Let p = -52 - -57. Give p*b(x) + z*f(x).\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33567113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kbxltbtbkk. What is prob of sequence kktt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 5 = -2*j + 7, -k = j. Solve -3*g - 1 = -4*p - j, 20 = -5*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9935.\nAnswer: 5, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = 17*q. Put q, -5, -306 in descending order.\nAnswer: q, -5, -306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -291*g - 230. Is y(-23) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.37 - 0.43. Let l(f) = f**3 + 16*f**2 + f + 15. Let h be l(-16). Suppose 0 = 3*o + o + 4. What is the closest to o in h, -1\/3, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1940748915 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 37202 bigger than 37200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9063756 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -51.8. Let i = j + -0.6. Let l = 1 - 1.5. Put i, 0, l in ascending order.\nAnswer: l, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s*s**(-7\/8))\/s)\/s)\/((s*s**(12\/7))\/s)*(s*((s\/(s\/(s**(-5\/7)\/s*s))*s)\/s)\/s*s*s)\/(s*s**(-17)*s) assuming s is positive.\nAnswer: s**(767\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -556*f = -554*f - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15*g = 14*g + 2868, m = -2*g + 961. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-568)\/(-6))\/((4\/(-6))\/((-1177)\/2354))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -0.5, -5, 15, -2\/57, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0) + 21 + (82 - (2 + 87))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 9*n + 5. Let d be c(9). Suppose -6*v = -d*v - 66. Suppose -5*r + 2*o = -v, 3*o = -5*r - 17 + 68. Solve 0*l - 5*w + 13 = -l, -r = -4*w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m**4 + 5*m**4 + m**4 - 3*m**4 + 5*m**4 - 3*m**4 + (-m**4 - m**4 + 0*m**4)*(3 - 5 + 5) + m**4 - 2*m**4 + 0*m**4 + 38*m**4 + 454*m - 454*m.\nAnswer: 31*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -3, -2\/51, 3155?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 - j - 2. Let o be f(3). Suppose 2*b - c - 3 = -2, 0 = o*c + 4. What is the units digit of (2 - 7)*-1 + b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:36 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -21*s + 20*s + 30, 0 = -4*s + 4*p + 40 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 8\/7 in decreasing order.\nAnswer: 3, 8\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7264 and 6335116?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 e when three letters picked without replacement from {m: 6, e: 3, t: 8}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -113 + 139. Calculate the remainder when 294 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -273 + 264. Let i(b) = b**2 + 10*b - 12. Give i(r).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 381864535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -182 + 1636\/9. What is the second biggest value in u, 1.57, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1673 and -23\/63.\nAnswer: 15057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1421, 1389, 1357, 1325?\n\"Answer: -32*y + 1453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from qoouaoqeeoauaeoeeu.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -12. Let h(l) = -l + 6. Let b be h(a). Let g = 178 - 123. Calculate the highest common divisor of g and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -3 - (9 + (-14 - -9) + 5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 7, n: 9}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 + 7 = 7*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tz when two letters picked without replacement from {b: 1, t: 2, e: 1, z: 1, i: 1, h: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15598?\nAnswer: 2, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 27\/12 - ((-60)\/(-120))\/((-4)\/6). Solve v*o = p - 2, 5*o + 3*p + 30 = 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w**(-1\/6)*w)*w)\/w)\/(w**2*w))**(1\/51) assuming w is positive.\nAnswer: w**(-1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3 = 2*d + 2*d, 4*d + 6 = 2*k. Suppose -3*t - 1 = -z - d*t, 3*z - 3*t - 9 = 0. What is the least common multiple of 9 and z?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -36*m**3 + 1. Let w = 0 + 2. Suppose -4 = 2*g - w. What is the remainder when d(g) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m - 80. Let d be p(6). Solve -4*i = -2*n + i + 1, 10 = 2*n + d*i for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from gggbvjubqbjqjbjvuuqv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1317 is divided by 391.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f + 111. Let k be n(22). Solve k = -10*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ticm when four letters picked without replacement from cstcctcmcwcswtisww?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0965339 to 4 decimal places.\nAnswer: -0.0965","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qn when two letters picked without replacement from {q: 3, s: 4, n: 3, v: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45730879 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 6*z**2 + z + 8. Let u be l(-6). Suppose 0*a - u*a + 4*h = 4, -a - 5*h = -5. Let i be (-2 - (a - -1))*-3. Solve 2*x - i = 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1253, 2511, 3769?\n\"Answer: 1258*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 70*z + 72. Determine x(6).\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 67622221.\nAnswer: 67622220.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3*(-2 + (-20561)\/1). Suppose 0 = -25*u - 2863 + x. What are the prime factors of u?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101000011011100000 (base 2) to base 9\nAnswer: -272140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 8258072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34134*g**3 + 1415*g**2 + 9466*g - 949 wrt g.\nAnswer: 204804*g + 2830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*sqrt(28))**2 - sqrt(7)) - (-1*sqrt(252) + sqrt(252) - (4 + sqrt(63)))**2.\nAnswer: -527 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) 2 (b) -3 (c) 9 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/3 + 4 + 1 - 4. Suppose 9 = -r*y + 19. Suppose -4*z = 2*q, 5*z = 2*q - 4*q - 5. Solve -4*c + 0*s - s = 17, y*c - s = -q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 0.2196?\nAnswer: 3.7804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -58392\/3539 at least as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35702, -142875, -321496, -571565, -893082, -1286047?\n\"Answer: -35724*k**2 - k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffafafff. What is prob of picking 2 f and 1 a?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-5))\/((-30)\/50). What is the nearest to -1 in 0.5, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-784)\/(-840))\/(8\/5)*(-39)\/26\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 424 + -1e?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.517 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1908, -3656, -5404, -7152?\nAnswer: -8900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34957458, 34957441, 34957414, 34957377?\nAnswer: 34957330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68963319 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-49) + (-124)\/42)*51. Do f and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50712 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**2 + 3*l + 3. Let t = 33 - 30. Suppose 3*f - 23 = w + 4*w, 2*f - 2*w = 10. Let u(y) = y - f + 5 - 3 + y**2. Determine t*u(q) - m(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -3*sqrt(11) - ((-1*sqrt(66))\/sqrt(6))**2 - (-4 + sqrt(1331) + 1 - (sqrt(1331) + 0 + 4)**2).\nAnswer: 74*sqrt(11) + 1344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -31*m**2 + 68*m + 3. Give b(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1100 is divided by 277?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 17, 38, 65, 98?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -203 divided by -103842?\nAnswer: 203\/103842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:03 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 176*j - 6 + 277*j - 3 - 119*j.\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-3)\/(-4))\/(21\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -14*c**5\/3 + 1016*c**4\/3 - 4126*c**3\/3 - 15284*c**2\/3 - 1904*c = 0.\nAnswer: -2, -3\/7, 0, 7, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 7*l + 2*l - 19, -4*l = -4. What is the highest common factor of j and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than or equal to -45405?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -313653 to the nearest one thousand.\nAnswer: -314000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o - 1. Let k(q) = -2*q**2 + 13*q + 3. Let g(i) = -3*c(i) - k(i). What is the second derivative of g(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -338.713 + -0.187. Let w = -339 - t. What is the nearest to 3 in 3\/5, w, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*j + 3*j + 66, 3*v = 12. Suppose w - 5*g + 52 = 0, g + g = -2*w - 44. Let c = w - j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -6*v - 5. Let s be (-4)\/(-6)*-3 + -4. Suppose -2*j = -5*u - 2, 3*j + 2*u - 29 = 3*u. Calculate the remainder when q(s) is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 2 - 5 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-117)\/(-22) - (-9097)\/(-1654)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 - 67. Suppose 4*s - 79 = m. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6477678 to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16286 + -16.83714. Which is the closest to 0.1? (a) -16 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128\/9570551 or 0?\nAnswer: -128\/9570551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}