diff --git "a/data/dm_maths/full_data/10926_11255.jsonl" "b/data/dm_maths/full_data/10926_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10926_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Divide 2 by -91.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*z**3 - 17*z - 2*z**2 + 3*z - 1 + 25*z.\nAnswer: -200*z**3 - 2*z**2 + 11*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196410?\nAnswer: 2, 3, 5, 6547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 14*u**3 + 0*u + 1 + u - 4*u**2 - 13*u**3. Give i(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 18*r + 177. Calculate the least common multiple of l(-25) and 360.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15*3\/1*1. Which is bigger: k or 3\/167?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 297 + -297.1. Which is the closest to -2\/7? (a) v (b) -2 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-12)*l)\/l**(10\/3)*l*l\/l**(2\/31)*l**(-2\/7) assuming l is positive.\nAnswer: l**(-7606\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*w - 239 + 165, -4*s = 4*w - 40. Let u = 2 - 2. Suppose 8*h - w*h + 824 = u. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**5\/7 - 66324*t**4\/7 - 928905*t**3\/7 - 4844214*t**2\/7 - 11149056*t\/7 - 9556704\/7 = 0. Calculate t.\nAnswer: -4, -3, 22122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.012 and 4531.419.\nAnswer: 4531.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(((-2)\/3)\/(76\/12)). Let c = -15 - q. Suppose -18 = -r - c*f + 2*f, -4*f - 68 = -2*r. What is the smallest common multiple of 20 and r?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3498?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -28. Let i(v) = -58*v - 10*v**2 + 58*v. Calculate i(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, g: 12}. What is prob of sequence aaga?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, 32, 146, 314, 542, 836, 1202, 1646?\nAnswer: 2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 56 = 114*p - 116*p, -p = -2*k + 36. Let s = 4 + -2. Solve -s*n + k = 2*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -6*h + 44. Suppose 0 = w - 5*b, h*w + 4*b - 87 = -w. Suppose 17 = m + w. Solve m*j + s = -2, 5*j - s - 2*s + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -aca1b1 (base 13) to base 15.\nAnswer: -558430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**6\/90 - o**5\/30 + o**4\/12 + 60*o - 14. Let w(c) be the first derivative of b(c). Factor w(y).\nAnswer: -y**2*(y - 1)*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245673 (base 9) to base 14\nAnswer: -3c1bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689992 to the power of 1\/2, to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 447559.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2. Let s(k) = 8*k - 7*k + 11*k. Calculate t(s(v)).\nAnswer: -144*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 12. Let a be v(-8). Let m be 6\/a*(7 + -3). Solve -m + 3 = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(637) + sqrt(637))**2*-2 + ((-3 + sqrt(637)*-2)*-5)**2)*1.\nAnswer: 1932*sqrt(13) + 58811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 4*f + 4. Let s be t(2). Suppose s = -0*d - 4*d + 44. Suppose -3*x - 16 - d = 4*i, 7 = -i - x. Let q(v) = v**3 + 6*v**2 + 8. Calculate q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 73916.\nAnswer: -36958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**3 + 17*i**2 + 1549968*i + 288950067 wrt i.\nAnswer: 9*i**2 + 34*i + 1549968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 517123994 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*m - 12*m**3 + 2*m**3 - 13*m**3 - 10*m**3 + 13*m**3 to the form v*m + t + x*m**2 + n*m**3 and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 4*o + 6 = 0, 2*s + 5*o - 22851 + 22861 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 407197 is divided by 223?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00148964825 rounded to 7 decimal places?\nAnswer: 0.0014896","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 628883 to the nearest integer?\nAnswer: 793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-10)*q*q\/(q*q\/q**9)*((q*q\/(((q\/q**(-3\/4))\/q*q)\/q)*q*q*q)\/q)**(11\/5) assuming q is positive.\nAnswer: q**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/9 - 24882548*x\/9 + 77392649371538\/9.\nAnswer: 2*(x - 6220637)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 74*m - 339. Give k(64).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/230 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**5\/10 - z**4\/6 + 2*z**3\/3 + 4*z - 1. Let p(n) be the first derivative of b(n). Determine k so that p(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 + 2*d - 9. Let l(x) be the first derivative of 4*x**3\/3 + x**2 - 8*x - 1336. Calculate 7*l(a) - 6*p(a).\nAnswer: -2*a**2 + 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8001187?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-96.80063.\nAnswer: -193.60126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -5*y**3\/6 - 10*y**2 + 1970*y - 1. Let g(t) = 6*t + 20. What is 6*g(r) + 7*i(r)?\nAnswer: r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 18.\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 - 0)*39\/(-6). Is 38 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**4 + 2*v**3 - 2*v**2 + 2*v + 7. Let s(k) = -k**3 + k**2 - k - 1. Let c(w) = -o(w) - 2*s(w). Find the first derivative of c(a) wrt a.\nAnswer: -24*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -3. Suppose 0*g - 20 = -s*g. Suppose 0 = 4*h + 4*a - 44, -a + 29 = -0*h + g*h. Solve h = -2*c - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**5 + 8061*t**4 - 311010*t**3 - 981366*t**2 - 997473*t - 335175 = 0?\nAnswer: -2725, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = 0, 3*j - 3*q - 9 = 6. Solve j*i = 9*i + 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 + -0.9. Let n = -5.2 + d. Which is the biggest value? (a) n (b) -0.4 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 325507 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*v**2 - 5*v**2 + 2*v**2)*(12*v**2 - 101*v**2 + 50*v**2) to the form r*v + k*v**4 + n*v**3 + f + y*v**2 and give k.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -365, -426, -477, -512, -525?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:49 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 168 + 105 = 0. Suppose 0 = -4*d - 0*d + 12. What is the remainder when i is divided by d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/3 + 12*b**2.\nAnswer: 2*b**2*(b + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1294, -2445, -3596, -4747, -5898, -7049?\n\"Answer: -1151*t - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 6192329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**6\/24 - 15*y**5\/4 + 1125*y**4\/8 - 5625*y**3\/2 + 34*y**2. Factor h(z).\nAnswer: 5*(z - 15)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 3. Let p(b) = -b + 1. Let j(o) = -3*p(o) - v(o). Let d = 51 + -52. Let q(s) = 42*s. Let z(g) = g. Let n(x) = d*q(x) + 18*z(x). Give n(j(l)).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 7 + 3 + 4 in the form x*d + n and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -22. Let w = v - 8. Which is the biggest value? (a) w (b) 0.2 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 4*h + 30. Let p(r) = 8*r + 62. Let v(l) = 4*p(l) - 10*w(l). Let d be v(-9). Suppose -3*a + 14 - 2 = y, 5*a - d = -5*y. Solve y*c = 5*c - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 12131?\nAnswer: -12201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -212.308 - -0.308. Let u = s + 209. Which is the third biggest value? (a) 0.1 (b) u (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 4. Suppose r + 2*l = -27, r - 4*l + 5 = 2. Let q = r - -33. Suppose 2*m - 22 = 4*o, -2*o + m = -m + q. Give x(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*i - 390 = 220*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t = 16*t - 80. Solve t*m - 7 = n, m = 4*n + 5*m + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t - 69*t = -30 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 10) in base 14?\nAnswer: -1bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 147276855?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545781.584 rounded to the nearest 100?\nAnswer: 1545800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/9*19)\/((-10)\/15). Suppose 7*s - 7618 = -o*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*p**2 + 55 - 59 + 45*p**2 to g*p + n + q*p**2 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-83)\/(-3735) + 2\/(-9).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*w - 8*w - 17*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4258924076?\nAnswer: 2, 11, 23, 1699, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 9*x = 12*x + 3, 15 = 5*d + 5*x. Let 0 + 2\/9*u**2 - 4\/9*u - 2\/9*u**5 + 2\/3*u**d - 2\/9*u**4 = 0. Calculate u.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46798439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + sqrt(8))**2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 10, n: 3, d: 1}. What is prob of sequence yysy?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10533051830 rounded to the nearest one million?\nAnswer: 10533000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 69550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 0*r**2 + 4\/33*r**3 + 2 + 1\/22*r**4 + 0*r. Factor k(a).\nAnswer: 2*a**2*(a + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s. Let i be c(-1). Let g(o) = -13*o - 24. Let w be g(i). Let x = w + 80. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-282)\/44 + -1 + 3 and ((-12)\/(-10))\/(16\/155).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b + 13. Let o be g(-4). Suppose -2*l + 3*m + 32 = -18, -o*m = l - 12. Suppose -w = w + l. Is -12 bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2142223261 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: a22767 (base 12) to base 5\nAnswer: 1122044320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/120 + 2*i**5\/15 - 3*i**4\/8 + 5*i**3\/6 + 4*i**2. Let n be j(-9). Let l(u) = u**3 - 5*u**2 - 3. What is l(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1017 and -15?\nAnswer: 15.1017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 4*o + 132, 1 = 5*m - o - 116. What is the remainder when 94 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d**2 + 28*d + 4. Let q(z) = -z**2 - 2*z - 1. What is -o(r) - 4*q(r)?\nAnswer: -3*r**2 - 20*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.2, -21, -0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vddvmmdzmvv. What is prob of sequence vv?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 656 (b) -5 (c) 1\/3 (d) -2 (e) 0 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 341770.\nAnswer: 2, 5, 11, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.32844 and -223700.376?\nAnswer: 223700.04756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of 0*s + 0 + 55\/4*s**4 + 1\/6*s**3 - 5*s**2. Is n(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2470.5 and 433.2.\nAnswer: -1070220.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*g + 68*g - 10*g in the form b*g + i and give b.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 58600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -167 - -290. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 4*r + 2*r**2. Suppose -u = 5*k - 4*u - 2, -5*k = 4*u - 9. Let c be y(k). Solve 9 = l + c*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01800009 + 0.018. What is h rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-377*a**2 - 80*a**2 - 1536*a**2 + 206*a**2)*(2 - 2*a**2 - 2)*(-3*a + 2*a + 0*a).\nAnswer: -3574*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*w**3 + 3 - 2*w**2 + 76*w**3 + 2*w + 71*w**3 in the form s*w**3 + x + c*w**2 + h*w and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k - 1 - k**2)*(-3551 + 3551 - 211*k)*(-5 + 2 + 4).\nAnswer: 211*k**3 - 211*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 12*x**2 + 118*x + 73. Determine w(-18).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 64*w - 1023. Let q(f) = -f + 4. What is the remainder when s(24) is divided by q(-9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2527 - 10297\/4. Is t bigger than -46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 31. Suppose i - 4*s - 2 = 0, -2*i = i - 4*s + x. Let n be (-34)\/i - (-20)\/(-50). Solve 2*v - 5*w = v - 3, 0 = v - w + n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*v + 4*v - 1673 = 0, -x - 5*v + 343 = 0. Suppose 0 = -3*i - 3, -4*r + 4*i + 132 = -20. What is the greatest common factor of x and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 53*t - 16*t - 2569 + 867. Solve -t = 19*y + 49 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxzzzzg. Give prob of sequence zgzx.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*o = 372*j - 371*j + 8805, -3*o + 3*j + 111 = 0 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9264301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 171089 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/1 + 717592\/960. Let o = 2237\/3 - k. Let s = 97\/360 + o. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58675488.\nAnswer: 2, 3, 37, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 51*f**2 + 1. What are the prime factors of z(2)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278822 is divided by 2199?\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1322884 in ascending order.\nAnswer: -3, 2, 1322884","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9851663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162435 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 20*a = -17*a - 52, 48 = 3*g - 3*a. Calculate the least common multiple of 10 and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380 divided by -1523.\nAnswer: 380\/1523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 12*z - 180. Let w = 24 - -24. What is the greatest common divisor of z and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440 - 402. Suppose 0 = 20*i - f - 2. Solve 3*q - q - i = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -482\/45 + 53\/5. Let b = 4 - 4.4. What is the second biggest value in 2, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a centimeter?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 0*t + 1 + 0*t**2 + 1\/3*t**3. Let m(o) be the third derivative of -o**5\/60 + 14*o**2. Determine m(y(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -133273 (base 8) in base 14?\nAnswer: -13095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*j + 63 = -181*j - 105 - 1200 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6139?\nAnswer: 7, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0 - 10. Let o(i) be the first derivative of 5*i**2\/2 - 3*i - 27. Let q(u) = 21*u - 13. Determine x*q(w) + 9*o(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 611678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*o - 12*o - 39. Suppose 67\/2*y**3 - 7\/2*y + 1 - o*y**2 + 42*y**4 = 0. What is y?\nAnswer: -1, -1\/3, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j + 2. Let b be s(4). Let l(a) = -4*a**2 - 6*a + 2. Let h be l(-2). Let z be 100\/b - (-2)\/h. What is the highest common factor of z and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - p + 18 - 6 = 0, -g + 5*p = 22 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23571 and 729?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*d**4 + 84*d**4 - 45*d**4 + (2*d - 2*d**2 - 2*d)*(0 + d**2 + 0) + d**4 + 2*d**4 - 2*d**4 as n*d**4 + a*d**3 + j*d**2 + l + z*d and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + -16 - (5 + -6)*((-30)\/10 + -88).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/34*(-16)\/(-60). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 8. Let o = l + -1.7. Is 0.3 equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2655 = -7*y + 2*y. List the prime factors of y.\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-13 + -7) - (-2 - -11)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1299 - 1304. What is the closest to 7 in y, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 29.8 (b) -1\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164785 (base 9) to base 14.\nAnswer: 2923d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*y = -0*y - 190, 0 = 2*m + 5*y - 109. Calculate the greatest common divisor of m and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 18, 1, -70, 9 in descending order.\nAnswer: 18, 9, 1, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4075*x - 4. Let t(g) = -2042*g + 2. Determine -7*r(b) - 15*t(b).\nAnswer: 2105*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 135744 by 4242.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6307204, 6307214, 6307232, 6307258?\n\"Answer: 4*a**2 - 2*a + 6307202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:23 PM and 1:09 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/((-1)\/16*3). Suppose -q = -6*l + 2*l. Suppose 2*f + 2*f - 5*i = -32, 0 = -2*f + l*i - 22. Let x(v) = -v**2 - v + 4. Calculate x(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + 10*s**2 - 13*s**2 + 3*s**2.\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420133893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*50\/(-45) - -89. Solve i*u - 97*u = -4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {x: 10, p: 10}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**5\/4 + 457*u**4\/4 - 233*u**3\/2.\nAnswer: u**3*(u - 1)*(9*u + 466)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -2*h - 20. Let o be (-3)\/h*16\/24*-3. Suppose 27 = o*x - 5*n, -x - 5*n - 10 - 1 = 0. Which is the smallest value? (a) -1\/6 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4793319 to the power of 1\/2, to the nearest integer?\nAnswer: 2189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*h - 55*h + 50 = 0. Let i(x) = -x**3 - 9*x**2 - 10*x - 14. Let y be i(-8). Which is the closest to -0.3? (a) h (b) y (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 5*m**2 - 3*m - 1. Let y = 1745 - 1740. Determine d(y).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29 - (10 - (-17 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 10. Let h = -4 - k. Suppose 3*b - 5*b = -h. What is the least common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 28*f + 88. What is the hundreds digit of t(-34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*o = 13742, 6*o + 3432 = -u + 3*o. Let d = u - -5228. Round d to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 + 741\/5. Factor 4\/5*y - 2*y**2 + v*y**3 + 0.\nAnswer: 2*y*(y - 1)*(3*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88890180?\nAnswer: 2, 3, 5, 1481503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1703 - 1709.8. Let q = -29 - -23.5. Let w = q - b. What is w rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 81*x**3 + 498*x**2 - 279*x - 2107. Determine t(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*n + 12. Suppose -n*v - 3 = -11. Suppose -v*z = -6 - 26. Sort 2, -3, z in decreasing order.\nAnswer: z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 8*z - 9*z + 957, -2*z = 5*h - 1929. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 429 = 72*i - 75*i, -i + 2*s = -136. What is the remainder when i is divided by 110?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(84) + (sqrt(84) + (2*sqrt(84) - sqrt(84)))*-2)\/(-5*(sqrt(432) - 2*sqrt(432))).\nAnswer: -7*sqrt(7)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 528 and 35200.\nAnswer: 105600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 2:27 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 5 (c) -94187\/16 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(306) + (sqrt(306) - 2*sqrt(306)))\/sqrt(6))\/((sqrt(12)*1)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 6:11 PM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -888, -847, -806, -765, -724?\n\"Answer: 41*l - 929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -192*q**4 - 24416*q**3 - 2297956*q**2\/3 + 1953280*q\/3 - 409600\/3 = 0.\nAnswer: -64, 5\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j - 2*j = -5*g - 5, -2*g = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 10) + (-11 - (-10 + -9))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - -1*11*-1. Is 3 a factor of 1\/(-3)*2*j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8.3 - -8. Let u = -141 - -95. Let l = u - -44. What is the nearest to y in -4, 0.4, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6145 in 3\/7, -1\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i*i*i*i**(3\/20)*i)*i)\/i**3*(i*i\/((i\/((i*i\/(i**(-10)\/i))\/i))\/i)*i)**(-13))**17 assuming i is positive.\nAnswer: i**(-68051\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.71388 millilitres in litres?\nAnswer: 0.00271388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 2*k**2 - 2*k + 3. Let x be a(-3). Is x less than 2\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (-1 - 4)) + -16 - (-3 + -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54219 and 2814141.\nAnswer: 1749","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and ((-7)\/((-21)\/25) - 9)*-1215?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m - 2. Let a(k) = k**2 + k - 1. Let o be a(0). Let c(t) = -15*t + 1. What is the remainder when i(3) is divided by c(o)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - j - 1697, 5*j - 26 = -1. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 259*y - 522*y + 269*y. Let k(h) = -9*h**2. Determine r(k(s)).\nAnswer: -54*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/((-4)\/12). Let w = x - -8. Let f = -0.1 - -0.3. Which is the nearest to -1? (a) 0.5 (b) f (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 40*z + 11. Let x(r) = 8*r + 2. Determine -4*o(f) + 22*x(f).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 1 + 2*y**2 + 16*y**3 + 12*y**3 - 3*y**2. Let m be w(1). Suppose -4*x + 3*a + 28 = -m, -x + 14 = -2*a. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19208?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 5*i**2 + 7*i**2 - 8*i**2 + 0*i - i**2 + 0*i + (-2*i + 6*i - 2*i)*(-4*i + 0*i + 6*i) + 3*i + 2*i**2 - 3*i.\nAnswer: 9*i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 + v - 4. Suppose s + 3 + 1 = 0. Calculate the remainder when z(s) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.8 + 36.8. What is the biggest value in -11, 0.5, s, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 277\nAnswer: -2\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -d**3\/6 - d**2\/2 + d. Let m(f) = 2*f**3 - 110*f**2 + 109*f - 49. Let r be m(54). Give t(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 13 = 1. Let z be (1\/m)\/(22\/(-352)). What is d in -16*d**2 - 9*d**3 + 0*d**4 - 4*d**z - 7*d**3 = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 9, 14, 19, 24?\n\"Answer: 5*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50911198*f**3 + 30180750*f**2 + f wrt f.\nAnswer: 305467188","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19*i**2 - 19*i + 16. Let c(m) = -17*m**2 + 18*m - 15. Let w(v) = -5*c(v) - 4*j(v). What is the remainder when w(1) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k - 9. Let b(i) = -2*i + 1. What is 3*b(z) + t(z)?\nAnswer: z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3560785607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -214608374.7 rounded to the nearest 100000?\nAnswer: -214600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, c: 2}. Give prob of sequence mmcm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -834, -1667, -2500, -3333?\nAnswer: -4166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - 3\/((-4)\/(-4)). Let s = -0.2 - -0.4. Which is the nearest to -2\/3? (a) 2\/3 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {l: 1, i: 2, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4352.\nAnswer: 5\/4352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2029511 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*r + 1)*(184*r**2 - 559*r + 559*r) + (1 - 1 - 1)*(-4*r - r**3 + 3*r - 4*r) - 2*r**2 + 2*r**2 + r**3.\nAnswer: -366*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -163, -153, -161, -193, -255, -353, -493?\n\"Answer: -f**3 - 3*f**2 + 26*f - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1610*g + 30. Let a(h) = -136846*h - 2544. Determine -5*a(y) - 424*b(y).\nAnswer: 1590*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118, 120, 124, 130, 138, 148, 160?\n\"Answer: i**2 - i + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 0. Let h be (-1 + k)\/(2\/(-46)). Let d = -16 + h. List the prime factors of d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -493895*p**6 - 940325*p**2 wrt p?\nAnswer: -59267400*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 18\/11, 4, 2 in ascending order.\nAnswer: 1\/2, 18\/11, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2428 divided by 1?\nAnswer: 2428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19.78933 + -0.09667. What is m rounded to the nearest integer?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7.13 - 92.53. Let g = f - -73. Let b = g + 12.3913. Round b to 3 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let i(v) = 3*v + 11. Let w(m) = i(m) - 4*x(m). Calculate w(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41136742 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywr when three letters picked without replacement from {y: 1, o: 1, d: 4, g: 7, w: 1, r: 4}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -372.2, 6\/11, 0, 12?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of 1\/25*d**5 + 11*d**2 + 0 + 2\/15*d**3 - 2\/15*d**4 + 0*d. Determine g, given that p(g) = 0.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 492 = 4*k - 3*b, 622 = 21*k - 16*k - 2*b. Suppose -32*u = -25*u - k. Suppose u*s - 17*s = 66. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -7, -0.3, -4\/5, -4, -953\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 13*a**3 + a**3 - 13*a**3.\nAnswer: -19*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/72)\/(3\/4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20012862 or -20012877?\nAnswer: -20012862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1.1. Let y = -0.60011 - d. Round y to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 1156\/507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 1. Let b(z) = 12 + 2*z - 4*z + z + 0. Let v be b(7). Let l be (-1*1)\/(v\/10). Determine f(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1924013.282 - 1922449. Let x = 1566 - r. Round x to 1 decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of 2*p**5\/5 + p**4 - 2*p**2 - 2*p - 8. Factor r(s).\nAnswer: 2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.4. Is 0.2 equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 g when two letters picked without replacement from {r: 1, x: 2, g: 7, e: 4}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2201 - 2201. Let h(y) be the third derivative of -12*y**2 - 2\/3*y**5 - 5\/6*y**3 + k*y + 5\/84*y**8 + 0 - 5\/4*y**4 + 1\/12*y**6 + 3\/14*y**7. Factor h(m).\nAnswer: 5*(m - 1)*(m + 1)**3*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Suppose 0 = -5*d + 339 - 344. Let p(t) = -14*t. What is d*p(k) - 5*j(k)?\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m + 32 + 0*m**3 + 8*m**3 + 10*m**2 - 6*m**3 - 40*m.\nAnswer: 2*(m - 2)*(m - 1)*(m + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.2 + 5.3. Let r be -1 - -1*1\/3. Which is the nearest to r? (a) u (b) 1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 19 (b) -3 (c) -4 (d) -0.3 (e) -4\/11 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0199751 * 17.\nAnswer: -0.3395767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1769728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15240)\/(-1778))\/(3\/21).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167464, 167466, 167468, 167470, 167472, 167474?\nAnswer: 167476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -r**4\/24 - 2*r**2. Let w(a) = a - 7*a + 4*a. Let y be (9\/(-15))\/((-1)\/(-5)). Calculate y*w(c) + 4*o(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + -25552?\nAnswer: -25545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25105330?\nAnswer: 2, 5, 2510533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 4\/9 (b) 6\/7 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74 - -45. Is -29 > s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0304102 rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 1260479*l**4 + 3781443*l**3 + 3781445*l**2 + 1260482*l.\nAnswer: -l*(l - 1260482)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*g + 5*g + 2 + 2*g - 43*g + 13*g to i + j*g and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4199137600\/3723 - 645413695880891\/572225100. Let p = g - 2\/38425. Calculate the common denominator of -79\/33 and p.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/2)\/(73170\/(-325200)*((-1)\/(-1))\/6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36566 and 94?\nAnswer: 36566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/25)\/(9\/10). What is the nearest to 1 in -3, p, -0.5, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 3 d when four letters picked without replacement from jjggdjgddgdjgdddmjg?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -37516, -75000, -112484, -149968, -187452?\n\"Answer: -37484*g - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 158 + -488. Suppose z + 2110 = 2299. Let f = z - v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82929 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -490380, -490375, -490364, -490347, -490324, -490295?\nAnswer: -490260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 190363937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -31.21 and 0.3?\nAnswer: -9.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/272 + (-105)\/156?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 4*k + 2*k)*(-3 + 0 + 5)*(55*k**2 - 14*k**2 + 30*k**2).\nAnswer: 142*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-4410)\/(-108))\/(-35)*(-3)\/(-2)*1\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5 + a**3*h**2 + 151*a**2*h - a*h**2 - h**2 wrt a.\nAnswer: -20*a**3 + 6*a*h**2 + 302*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -392169895?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -4\/177161?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1817720418?\nAnswer: 2, 3, 83, 929, 3929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -159*f - 3661. Let x be m(-23). Let r = 2 - 2.1. Which is the closest to r? (a) x (b) 9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (2 - 1) - -1. Let c be -1*1*(-28)\/r. Suppose -c = x - 3*x. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kq when two letters picked without replacement from {q: 4, w: 1, f: 1, l: 3, k: 2, p: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 2064?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3 + -7)*(2 + -40)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1266 + -1330. Sort o, -4, -2, -1 in descending order.\nAnswer: -1, -2, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.18 - 0.08. Let m = 16887 - 16883. Which is the second biggest value? (a) v (b) -3\/2 (c) -0.09 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 9*t**2 + 8*t - 20. Let h be (-2 + -3 - -2) + -7. Let j be p(h). Put 56, j, 1 in descending order.\nAnswer: 56, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/12 - 2*m. Let s(u) be the third derivative of 28*u**2 + 0*u + 0*u**4 + 1\/12*u**5 + 0 + 0*u**3. Calculate s(i(f)).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**2 + 58*r - 6. What is the remainder when o(-13) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -839750324+22\nAnswer: -839750302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*c**4 - 24732*c**3 - 1163232*c**2 + 2612208*c - 374256 = 0 for c.\nAnswer: -46, 2\/13, 2, 678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-126))\/((30\/7)\/(-15))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -11, -14, -17?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**6\/120 + 7*h**5\/30 - 31*h**4\/24 + 8*h**3\/3 - h**2 + 31*h. Determine n so that r(n) = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 7*s**3 + 8*s + 8. Let m(k) = 6*k**3 - 5*k**2 + k + 1. Let q(g) = 7*g**3 - 6*g**2 + g + 1. Let b(h) = -6*m(h) + 5*q(h). Determine -24*b(v) - 3*n(v).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -228 - -332. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 11*n**3 - 20*n**2 - 20*n + 6. Let w(k) = 4*k**3 - 7*k**2 - 7*k + 2. Let z(p) = 3*h(p) - 8*w(p). What are the prime factors of z(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -588*x**5 - 1044099*x**4 - 82289472*x**3 + 26622015*x**2 + 5037372*x - 1686228 = 0.\nAnswer: -1693, -83, -1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, r: 1, t: 1, e: 1, h: 1, b: 5}. What is prob of picking 1 t and 1 b?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 110*q. Let d(a) = -3*a. What is d(h(z))?\nAnswer: -330*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**3 - 32*z**2 + 211*z + 241. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -264, 4, 1, -3, -102, -18 in increasing order.\nAnswer: -264, -102, -18, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -0.058701.\nAnswer: 0.0293505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-7 + -1)*(-2 - 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.83 - 10.791. Round m to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -29*u. Let i(s) = s - 1. Let j be i(3). Calculate the common denominator of -5\/3 and 222\/9 - (j + u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by -3 + (-5)\/(10\/(-56)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 9*u - 2. Suppose -4*o + 0*o - 28 = 0. Let w be j(o). Let s(z) = -7*z**2 - 12*z + w*z. Let l(g) = -g**2. Determine l(s(v)).\nAnswer: -49*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8485 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: Calculate the common denominator of 40\/245999 and 7\/2459990.\nAnswer: 2459990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 36080002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -3 (b) 1\/7 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - (-1*sqrt(3584) + sqrt(3584)) - (-1*sqrt(56)*4 + sqrt(56)))\/(sqrt(800) + -6*sqrt(800)*-2).\nAnswer: 2*sqrt(7)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.071, -32, 16\/269 in increasing order.\nAnswer: -32, -0.071, 16\/269, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2347 and 46?\nAnswer: -10.7962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24.3 * 0.9\nAnswer: -21.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n. Let s(g) = -1640*g + 2. Give s(d(f)).\nAnswer: 3280*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*u - 3*k, 0 = -5*k + 13 + 7. Let w(x) = -2*x. Let v be w(-1). Find the third derivative of 4*b**2 - 3*b**5 - 7*b**v + b**u wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 4223?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 399 + 59. Let h = -48 - g. What is the highest common factor of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 - p. Let j be (1 - 0) + 4 + -3. Let i(x) = -x**3 + 0 - 16*x**j - 8 - 3*x**3 + 6*x**3 - 22*x. Let l(m) = -2*i(m) + 44*z(m). Factor l(c).\nAnswer: -4*(c - 1)*(c + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d = -16*d + 6. Put d, 1.3, 1\/5 in decreasing order.\nAnswer: d, 1.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 292, 4\/3 in decreasing order.\nAnswer: 292, 4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 389, 121, -3 in descending order.\nAnswer: 389, 121, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40470 and 7095030.\nAnswer: 2130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 106256 by 26564.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.1 + -1.9. Sort 2, i, -0.1 in decreasing order.\nAnswer: 2, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + (sqrt(3168)*-3)\/sqrt(11)*-4 + 1)**2 + 4.\nAnswer: -166028 - 6912*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -126.74283 to 1 decimal place.\nAnswer: -126.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26\/(-13)*2\/(-12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135996253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/7? (a) -30\/67 (b) -334 (c) -4 (d) -0.2 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 to the power of 1\/2, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 21603330.\nAnswer: 21603330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*t - 1908 + 1904, -3*t - 5*y + 6 = 0. Solve -17*j - t = 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (4*(sqrt(1053) + 2) + -3*(-3 + sqrt(1053)))**2*1 + -2.\nAnswer: 306*sqrt(13) + 1340","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21*i*j*u**3 + 4*i*j*u**2 - 4623*i*j - i*u**2 + 3*j*u wrt u.\nAnswer: 126*i*j*u + 8*i*j - 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -57, 23 in decreasing order.\nAnswer: 23, -12, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 + (-8 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 r when two letters picked without replacement from {r: 1, l: 1, b: 1, y: 1, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(16)\/(sqrt(8)*-3))**2 + 1).\nAnswer: 11\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -17*o + 156. Let l(r) = 53*r - 468. Let i(d) = -2*l(d) - 7*x(d). Let h be i(14). Calculate the highest common divisor of h and 481.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**2\/4 - 20759407*b\/2 - 430952978991649\/4 = 0. Calculate b.\nAnswer: -20759407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-8)\/(-6) + 36\/54. Solve 4\/11*s**3 + 2\/11*s**5 + 0*s**b + 6\/11*s**4 + 0 + 0*s = 0 for s.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 30 = 2*z - 7*z, 3*i + 17 = z. Suppose -30 = -5*k - 2*q + 5, 13 = z*k + q. Let f be (57\/(-52) + 1)*(13 - k). Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 3*c - 2*c)*(-3*c - 3*c + 5*c) - 22 + 13*c**2 + 22.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -141403145?\nAnswer: -141403143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31648834?\nAnswer: 2, 7, 2260631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*z + 5, 5*x - 5 = 8*x + 4*z. Suppose r + 118 = 3*r - 2*k, -5*k = 5*r - 255. Calculate the greatest common factor of x and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*y + 7, 3 = 2*w - w + y. Suppose w*s - 9 = s. Suppose k = s*k - 4. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000268826462 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 877 and 0.455.\nAnswer: 399.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-29))**(-47))**(11\/5))**(-11\/2) assuming r is positive.\nAnswer: r**(-164923\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3*s + 4756 = -4*f, s + 4*f = 2396. What is the greatest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sskskagksaa. What is prob of sequence aa?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(76) + -5)*-5.\nAnswer: 25 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 10:24 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvdd when four letters picked without replacement from {y: 9, o: 5, v: 1, d: 2, w: 1}.\nAnswer: 1\/36720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert dc4929 (base 14) to base 8.\nAnswer: 34365011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1872)*-1*3)**2 - (-5 + (sqrt(143)\/(sqrt(11) - (sqrt(66) + (sqrt(66) - (1*sqrt(66) - sqrt(66))))\/sqrt(6)))**2).\nAnswer: 16841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**3 - 13*f**2 + 542*f + 13. Let m(y) = -y**3 - 6*y**2 + 271*y + 6. Determine 6*b(d) - 13*m(d).\nAnswer: d**3 - 271*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/53900 and 113\/11270?\nAnswer: 1239700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 127217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37539.968 - -0.01004\nAnswer: -37539.95796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/2 - 200814*u - 20163131298.\nAnswer: -(u + 200814)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7942, -15895, -23848, -31801, -39754, -47707?\n\"Answer: -7953*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 42539839?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = 0, -4 = l - 5*w - 2. Let g = 5 - l. Let u be (-1)\/((-7)\/4*g). Which is bigger: 2\/3 or u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 39, 69?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -11*q + 128. Determine s(11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of l**4\/12 - 7*l**3\/6 + 9*l**2\/2 + l. Let q be h(6). Solve -v + 10 = -q*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34*a**5 + a - 1010*a**3 - 18*a**5 + 69*a**2 + 1008*a**3 wrt a.\nAnswer: -3120*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2)*10\/(-6). Suppose 4*h - 8 = 4*z, -z - 4 = 4*h - 2*z. Let n = h - -4. Is q equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 1, -5 in descending order.\nAnswer: 14, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, 28, 0.2, -1792, 2\/13, -1?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 34 (b) -26 (c) 0.2 (d) 5 (e) 6 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {b: 3, d: 3, t: 1, s: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92)\/1311*9\/6*-1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(78) - sqrt(78)*1)*-1)\/((sqrt(66) - (sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66) + 3*sqrt(66))*2 - sqrt(66))))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.62 + 1.7. Let h = -0.18 + z. Which is the closest to 1\/4? (a) 1\/2 (b) h (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 704\/10 + 5 + 297\/(-55).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13847*j*w**3 - 139863*j*w**2 wrt w.\nAnswer: 83082*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239980918?\nAnswer: 2, 613, 195743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4675834 (base 12) in base 10?\nAnswer: 13591912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -0*h. Determine w, given that 19*w**2 + 21*w**2 + h*w - 37*w**2 + w**3 + 0*w = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286, 273, 244, 193, 114, 1, -152, -351?\nAnswer: -602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622410617?\nAnswer: 127, 223, 21977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1007 divide 4258603?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 57624473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + -1. Let g = 12 - 15. What is the third smallest value in g, 4, z?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50*c**3*r**2 + 48872*c**3 - 3*c**2 + 15*c*r**2 + 12*r wrt r.\nAnswer: 100*c**3*r + 30*c*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 243769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11148 is divided by 445.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76763*c = 76778*c + 315 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.99. Let v = 0.76 + 0.14. Let n = -1.9 + v. Put n, -0.3, g in decreasing order.\nAnswer: g, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -20 - 6*c + 2\/9*c**2 = 0.\nAnswer: -3, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*f**2 - 105*f**2 - 12*f**3)*(f**2 - f**2 - f**2).\nAnswer: 12*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 804158318 - -3.\nAnswer: 804158321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 33\/(-15))\/((-168)\/(-210)). What is the closest to m in 0.2, -14, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f + f**4 - 4*f)*(-5 - f + 5) + 14*f**2 + f**5 - 12*f**2 - 3*f**5.\nAnswer: -3*f**5 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 + 36*s**4 - 115*s**3 + 78*s**2.\nAnswer: s**2*(s - 2)*(s - 1)*(s + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.361 plus 4.6529279?\nAnswer: 3.2919279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**2\/9 + 234236584*k\/9 = 0 for k.\nAnswer: 0, 58559146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0.2. Let i = -3.78 - 0.42. Let q = i - p. What is the nearest to 0.1 in 5, q, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -386*h**2 - 385*h**2 + 769*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**3\/2 - 9*u**2\/2 = 0. What is u?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**3 + 5*n. Let b(c) = -5*c**3 + 2*c + 2. Let y(o) = 21*o**3 - 7*o - 9. Let q(z) = 9*b(z) + 2*y(z). Give -4*p(h) + 5*q(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(4\/7)*x**(-28))\/(x**38*x*x**(-9)) assuming x is positive.\nAnswer: x**(-395\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6 = -3*w, 3*w - 351 = 5*c. Let i = -73 - c. Let n be ((-4)\/6 + 2)\/(i\/(-6)). Solve 3*u - 2 = n*b + 5*u, -3*b = -u + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2952061 rounded to the nearest 100000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003637883 rounded to six decimal places?\nAnswer: 0.000364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 0.2, 412, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g = -17*g - 228 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -4*q + r, 0*q + 5*r + 87 = 3*q. Let k = -16 - q. Let p = -20 - k. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16523553 and 65352.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870563?\nAnswer: 379, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = 4*z + 8, -2*z - 14 = 2*h + 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4548, -8150, -11752, -15354, -18956, -22558?\n\"Answer: -3602*v - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25668352 to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 5*k**3\/3 + 13*k + 274. What are the prime factors of s(-17)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttg. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 324 + 326 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-25)*(21\/14)\/(-3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/30)\/(54\/(-13680)*-57)?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6126*j + 6130*j = 24 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 3*h**2 - 4*h + 3. Let l be 4\/(-14)*(-22 + 15). What is k(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008471472 rounded to six dps?\nAnswer: -0.000847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.377882 decades to months.\nAnswer: 1005.34584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-232*b**3 - 15*b**2 + 124*b**3 + 122*b**3)*(7*b + 5*b - 6*b - 2*b**2).\nAnswer: -28*b**5 + 114*b**4 - 90*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 10:19 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111012 - -334224?\nAnswer: 223212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154 and 2708002?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + -9. Suppose 44*y - 43*y = 2*c + 2, 3*c = -2*y - 10. Sort 3\/7, x, y.\nAnswer: x, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3194 - -3201. Sort v, -213, -5.\nAnswer: -213, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*y + 35*y + 12 = 0. Let u = 11.338 - 0.038. Let c = 11 - u. Is c > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**3 - 13*q**2 - 13*q - 68. Let k(s) = s**3 + 3*s**2 + 3*s + 17. Calculate -9*k(o) - 2*r(o).\nAnswer: -o**3 - o**2 - o - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31518 is divided by 2339?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {p: 1, a: 1, m: 2, y: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27710682.5 and 4?\nAnswer: -110842730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334838 is divided by 3347.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58.891 + -59. Let u = -187.891 + h. Let q = 176.7 + u. What is q rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1627 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 7 + (-14 - 7) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnd when three letters picked without replacement from ndddnddddndnddnd.\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29.617 - 0.283. Which is bigger: n or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 0.21 (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 967 a factor of 16314257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1964 + -17678\/9. Which is the closest to -0.04? (a) o (b) 4 (c) -0.01 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 x when four letters picked without replacement from xvfvfvvfcvxjxcvvvxf.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x + 40. Let i be v(0). What is the highest common divisor of i and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -51. Suppose -14 = -u - 5*c, -2*u - 1 = c - 2. Let d be (u - 2)*(-20)\/6. Solve v*f + d = -0*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -m - 10, 6*m - 50 = m - 5*c. Let l = 2 - 0. Let q(k) = 14 - 9 + 4*k**l - m. Let v(u) = -u**2. What is v(q(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 422*t**2 + 7*t - 7. Let u(r) = -211*r**2 - 3*r + 3. Let j(x) = 3*k(x) + 7*u(x). Let y(o) = 2*o**2. What is j(y(z))?\nAnswer: -844*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/5 + 13*s**3\/5 - s**2 - 333*s\/5 + 324\/5.\nAnswer: (s - 4)*(s - 1)*(s + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 550716 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 9.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*m - 18, -13*x + 20 = -11*x - 2*m. Solve 4*g + 18*z - 15*z - 36 = 0, -x*z + 46 = 5*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 91019 from 52535183.\nAnswer: 52444164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/1 - (0 - -2)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 2*m + 13 - 65)*(0 + 0 + 2*m**2)*(-3*m + 4 - 4).\nAnswer: -18*m**4 + 312*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 15 = 6*v. Let q = 4 + -2. Suppose -q*h + 5*a + 3 = 0, 4*a = -0 - 4. Sort h, 2, v in descending order.\nAnswer: v, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.5 and -282793610?\nAnswer: 282793612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 5:14 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 438894.\nAnswer: 2, 3, 37, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(176) + 3 + (5 + sqrt(176) + 3 - sqrt(176)).\nAnswer: 12 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/15 (b) -27 (c) -4600\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 8:33 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j + 1602 = 3*v + 25*j, 0 = -4*j + 4. What is the greatest common divisor of v and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(sqrt(252) - (sqrt(252) + -2) - sqrt(252)) - sqrt(252)))**2.\nAnswer: -1344*sqrt(7) + 12604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23451*g**5 + 8*g**3 + 303*g**2 + 149*g wrt g.\nAnswer: -1407060*g**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:13 AM and 2:06 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((-2*sqrt(117))\/sqrt(3))\/(sqrt(3) + -2*((sqrt(48) - sqrt(3) - sqrt(3)) + sqrt(3))))**2*6.\nAnswer: 24*sqrt(13) + 4062\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 3*k + 0*k - 151 = 0, -4*c + 2*k + 166 = 0. Suppose 11 + 5 = 4*w. Suppose -w*p + 20 = -12. What is the greatest common divisor of p and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21\/20 in 1\/3, 1.1, -2\/13, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -138713.\nAnswer: 554852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.0018 - 0.0018. Let r = 1.1 - -0.1. Let s = 0.8 + r. Is s at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31879 + 34824 = -181*f + 9710*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*v**6*x + 1217*v**4*x + 7*v**3 + 255*v**2*x + v**2 - 3*v*x + 24*v + 6 wrt v?\nAnswer: -720*v**3*x + 29208*v*x + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18\/5 - -59\/15. Let h be (-31)\/3*264\/(-13). Let f = 210 - h. Sort f, 4\/7, j in decreasing order.\nAnswer: 4\/7, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12761 and 11?\nAnswer: 140371","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 200236059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 7543601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -10, 5, 0, -510, -1925?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 4*g + 2*g)*(-2 + 3 + 0) + (-10 + 10 - 2*g)*(-1 - 1 + 0) as y*g + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6173 and 0.2256?\nAnswer: 6172.7744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 62 (b) 7\/6 (c) 1\/8 (d) -2 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - 137. Let x = 11213 + -11144. Let u = x - q. Which is bigger: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -15*j**3 - 9210*j**2 + 42*j + 25799. What is r(-614)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-6*-3*(1*sqrt(110) + sqrt(110))*-4)\/(6*(sqrt(50)\/(sqrt(20)\/sqrt(4)) + (sqrt(10) - (2*sqrt(250) + sqrt(10))))).\nAnswer: -5 + 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -101796.35368 to the nearest one thousand.\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6487, -6531, -6593, -6673, -6771, -6887?\n\"Answer: -9*z**2 - 17*z - 6461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-798)\/95)\/(86\/(-215))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-1)*k)**(-1\/50))**(-4\/5))**(-6\/25) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1035.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -5996.74 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 804911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 - 50. Calculate the highest common divisor of 8 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1910)\/5348*14\/20)\/((-74)\/(-16)).\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 3. Let z = -145 - -4. Let w = z - -137. What is the closest to d in -0.01, w, -5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -402, -4, 480 in descending order.\nAnswer: 480, -4, -402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -364491\/28 bigger than -13017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-75)\/(-10)*-2*3\/(-9). Suppose -2*u - 94 = -3*y, u = -5*y - 3*u + 142. Solve -y + 10 = r*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 15*x**5 + 105940*x**4 - 353345*x**3 - 317950*x**2 + 141320*x = 0.\nAnswer: -7066, -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1213\/3 - 19213\/48. Find the common denominator of 99\/(-10) - (7 + -10) and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109201*3.8.\nAnswer: 414963.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 + 5*f + 2*f + 0*f - f + (-1 + 2 - 2)*(-3*f + 6*f - 2*f) + 2 - 2 + 2*f - 210 + 13*f - 3*f - 11*f.\nAnswer: 6*f - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4790.1774 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 - p**2 - 6*p + 4. Let k be g(-4). Let v = 210 - k. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 13*n**2 - 9*n - 18. Is 12 a factor of j(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (-10 - (-10 + 10))) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -33. Suppose 2 = -5*t + 17. Let y = t - p. Let n(s) = s**2 - s - 2. Calculate n(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -177\/295532 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 670668 and 42132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 12*x + 278. Give p(-22).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28 or 2559?\nAnswer: 2559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 5*g**2 - g + 3. Calculate the remainder when j(-4) is divided by (473\/172)\/(-2*(-1)\/16).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 761618, 1523247, 2284876?\n\"Answer: 761629*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30301 (base 7) to base 9\nAnswer: 11067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 12855.\nAnswer: 12855.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, e: 1, m: 1, x: 2}. What is prob of picking 1 k, 2 m, and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 1021472930?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3b316 - -30?\nAnswer: 3b346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2. Suppose -2*o + j = -55, -6*o - 4*j + 140 = -i*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 35, 26, -7, -76, -193, -370?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -189, -439, -795?\nAnswer: -1257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 116710 to the power of 1\/2, to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*((sqrt(102) - sqrt(102)*1 - sqrt(102)) + sqrt(102) + sqrt(102)) + 3*-1*sqrt(102) + sqrt(102)))\/(sqrt(6)*1*6 + (sqrt(60)*2)\/sqrt(10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-2\/7))**(-10)*b**4\/b*b**1)**(-4\/7))**(-50) assuming b is positive.\nAnswer: b**(-12400\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12921704 by -29.\nAnswer: 445576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2917 (base 11) to base 2.\nAnswer: 111010111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 9, 0.2, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/64416 and 31\/85888?\nAnswer: 257664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 11*d**2 - 11*d + 14. Let f be v(10). Differentiate 4 - 3 - 5 + 3 - f*t**3 wrt t.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 11*v - 8*v, 0 = -5*r - 2*v - 17. Let d(c) = 5*c**2 + 5*c - 6. Let k be d(r). What is the greatest common factor of k and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjddjddjdjdddd. Give prob of picking 2 j.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.304 - 54.696. Let n = 54.98 + q. What is the third biggest value in -3, 6, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -582 - -555 - (-4 + 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1776\/4)\/(-3)*((-1335)\/60)\/(-89)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -241, -229, -217, -205?\n\"Answer: 12*o - 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4.9, 3, 0.27 in decreasing order.\nAnswer: 4, 3, 0.27, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 28?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.6*-5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5 - 91*p**4*x**2 + 24*p*x + 12*x**2 wrt p?\nAnswer: 40*p**3 - 1092*p**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 3*m = -7 - 122, 2 = 2*m. Calculate the least common multiple of 40 and y.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-85)\/25 + 16\/(-10) + 1. Let p(m) = -1. Let t(y) = y - 1. Let x(g) = i*t(g) + 4*p(g). Determine x(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -444*l - 373 = -435*l - 29 - 2 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1286 - -22326?\nAnswer: 23612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 551*t**5 + 7*t**3 + 9432*t.\nAnswer: 11020*t**3 + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4642514 or -4642516?\nAnswer: -4642516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.2, 0.3, -23\/540, -1\/64 in increasing order.\nAnswer: -23\/540, -1\/64, 0.2, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -593282*o**3 + 594957*o**3 - 214*o + 612*o - 3 wrt o?\nAnswer: 10050*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.291 * -0.6\nAnswer: 1.9746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/160 and 53\/36?\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -449913\/1047809 + -9\/5789. Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, 2318.6, -1193?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5.3, 1, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -22 (c) 0.053 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/(-1))\/(-1 - (-12)\/9). What is the remainder when ((-54)\/(-10))\/(x\/(-540)) is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*-1)*-6 + ((2*sqrt(102) + sqrt(102))*5 - sqrt(102)))\/((sqrt(6) + sqrt(6)*-2)*2 - sqrt(1176)\/sqrt(4)).\nAnswer: -14*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 403 and -122.\nAnswer: -49166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.178 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23074, -45698, -68268, -90784, -113246, -135654, -158008?\nAnswer: -180308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513506.\nAnswer: 2, 7, 43, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25056, -24909, -24762, -24615, -24468?\nAnswer: -24321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y. Let f(i) = -i + 2. Let g be f(0). Suppose 0*x = m - 2*x - 4, 3*x = 4*m - 11. Let v(c) = -m*c + g*c - 2*c. What is l(v(z))?\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.2, -0.05, 46, -12, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 743*d + 148. Let v(a) = 2*a + 2. Let k(i) = -g(i) - 6*v(i). Differentiate k(c) with respect to c.\nAnswer: -755","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*g + 2*g + 2*g)*(2*g + g - 2*g) - 2*g**2 - 5*g**2 + 3*g**2)*(-2*g - 2*g + 5*g) as k + y*g**3 + i*g + v*g**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/41795757?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 34*g**2. Let i be w(1). Suppose 69 = c + 2*c. Let z = i - c. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 11\/16608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 3 = -j. Let h be ((-3)\/(-9))\/(j\/(-6)). Which is the closest to h? (a) 3 (b) -0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 2412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 175363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 - 0\/1 - -1. Let w be 3\/g*-2*-15. Let o(p) = 2*p. What is the smallest common multiple of 20 and o(w)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 40 = 15*j. Suppose -7*y + 2*y = 4*a - 8, 2 = 4*y + a. Suppose -31*x + 2 = -33*x. Sort j, x, y in decreasing order.\nAnswer: j, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/18*-16*-3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -6 (b) 2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 936933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*g - 2*j, 50 + 31 = 5*g - 2*j. Factor -10*q - g*q**3 - 10*q**4 + 34*q**2 + 6*q**2 - 7*q + 2*q.\nAnswer: -5*q*(q - 1)*(q + 3)*(2*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/74750 and 99\/32500.\nAnswer: 747500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h - 6*h = -8032. Let k = -111 + h. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(1125\/(-30))*-15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 87*k - 21. Let f be h(11). Let z = f - 384. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -1000300213?\nAnswer: 1000300222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/(-6)*-4 + (-864)\/(-162). Let y = 15.3 + -15. What is the closest to 0 in y, -2, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/4))**(-21)\/(l\/l**(-2\/19)*l**(-6\/19)\/l) assuming l is positive.\nAnswer: l**(-4373\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*c = -m + 24, 3*m - 27 = -3*c. Suppose 61 = 5*n + 2*q, m*q = -n + 13*q + 15. What is the greatest common factor of 13 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*w - 12, 5*x + 2*w + w - 35 = 0. Solve -x*c - 13 = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000041771 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 164949 or 164938?\nAnswer: 164938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2435210775?\nAnswer: 3, 5, 10823159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-111)\/2)\/(393\/262). Let b = -17 - -13. Sort 1, r, b, 4 in increasing order.\nAnswer: r, b, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:14 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen quarters of a microgram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23*(3 - (1 - -1))*(-4194 + 4195).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 - 218 = 3*g, -2*p + 8 = 4*g. Put -5\/3, 2, -1\/3, p in descending order.\nAnswer: 2, p, -1\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + 11101001011000111?\nAnswer: 11101001011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1854 * -80.87\nAnswer: -149932.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/3 - 110*h**4\/3 - 1099*h**3\/3 + 7414*h**2\/3 - 12868*h\/3 + 6664\/3 = 0. What is h?\nAnswer: -98, -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**2 - 8*l + 8. Let w(q) = 3*q**2 - 5*q + 5. Let v(u) = -5*c(u) + 8*w(u). Let r = -5 + 7. Let j(m) = 3*m + 5*m**r - 3*m - 3*m**2. Give v(j(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1705236742?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 23375936, 23375943, 23375950, 23375957?\n\"Answer: 7*u + 23375929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 255.147 + -255. Let d = -0.14627 + l. Round d to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/15*240\/96.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i*j**3 + 8*i*j - i + 1106*j**3 + 9*j + 22 wrt j?\nAnswer: 36*i*j + 6636*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33702788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/2 and 49452\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -111, -162, -215?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 23*n**3 + 10*n**2 - 6*n - 9. Let u(f) = f**3 + f**2. Let b(i) = -j(i) + 6*u(i). Is b(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -1000?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 32 - 36)*(4*m**2 - 2*m**2 - 5*m**2).\nAnswer: -27*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*d + 4*k, 0 = -d + k - 161 + 168. Solve 0*q + d*q - 3 = 0, -14 = -2*g - 4*q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.05 - -1.05. Let i = -8 + 5. What is the nearest to 2 in -0.5, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1671 - 1672. Let l(u) = 19*u**2 + u. Let y(h) = h. Determine b*l(p) + y(p).\nAnswer: -19*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 4*h**2 - 2*h**2)*(-2 - 1 - 2)*(0*h - 2*h + h).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*v**3 - 107*v**3 - 5*v**3 - v**3 + 4 - 4.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12462424157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2768 and 23?\nAnswer: 63664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110))\/sqrt(10) + -3 - 4*((sqrt(11) + -1)*1 - sqrt(11)).\nAnswer: 1 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*u**3 + 2*b*u**2 - 61*b*u + 16*u**3 - 2*u wrt u.\nAnswer: 12*b*u + 4*b + 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -9062.663597 - 4\nAnswer: -9066.663597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -35115886, 0.\nAnswer: -35115886, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 3741010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31515 (base 11) to base 5.\nAnswer: 2432000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 4. Let u(r) = -4*r + 4. Let x(a) = 4*j(a) + 5*u(a). Let f be x(-1). Suppose 3 = f*w - 9. Solve -2*q + 9 = w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 21 (c) 3 (d) 7\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 80*g**3\/3 + 55. Let c(u) = 2*u. Give c(f(k)).\nAnswer: 160*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-153 + 153 - 4*c)*(c + c + 2*c).\nAnswer: -16*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/(o**(-10)*o))*o\/((o*o**(-4\/5)\/o*o*o*o*o)\/o)*o)\/(o\/(o**(-1)*o))**(2\/19) assuming o is positive.\nAnswer: o**(-979\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.01 in 14996, 5\/2, 1\/2, 2\/5, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ele when three letters picked without replacement from {e: 4, p: 6, l: 1, i: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*d**3 - 5*d**3 + 2*d**3 + (d - 3*d**2 - d)*(7 - 7 + 5*d)*(0 - 3 + 2).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -159, -696, -1593, -2850, -4467?\n\"Answer: -180*j**2 + 3*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000856319988 to seven dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -3*j - 40 + 58, -3*j = 17*s - 60 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -174, -361, -560, -777, -1018, -1289, -1596?\nAnswer: -1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107397 and 24039?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4635654)\/(-356)*(-2)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 794 divide 455648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -161054, -288?\nAnswer: -288","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25171 (base 11) in base 3?\nAnswer: 1211120101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/3 + 5970278*q\/3 + 8911054849321\/3 = 0. What is q?\nAnswer: -2985139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -9. Suppose -3*c + 11 = 5*t, 2 + 0 = w*t. Let i(v) = 9*v**2 - 5*v + 4. List the prime factors of i(c).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -10275.4\nAnswer: 30826.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 11*m - 6*m - 5 = 0, 18 = -2*n + 2*m. Put -6, n, 2, 4 in ascending order.\nAnswer: -6, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 12 - 46 + 28 - 2*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-289)\/(-34) + -11 + 3. What is the nearest to a in -10, -3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.572984kg?\nAnswer: 0.002572984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -13*h - 9. Let u(v) = -38*v - 27. Let q be 3\/(-12) + (-11)\/4. Let n(i) = q*u(i) + 8*k(i). Differentiate n(j) with respect to j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8777639 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.32748 micrograms in grams?\nAnswer: 0.00006032748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k - 2. Calculate u(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.6 and -319.7418?\nAnswer: -831.32868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 0*f + 3*v = 16, f - 1 = 2*v. Let r be 4\/14 + (-544)\/f. Let s = 93 - r. What is the remainder when 59 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3131*d**5 - d**2*y**3 + 2*d*y**3 + 489*d*y**2 wrt d?\nAnswer: -62620*d**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x - 2*h = -640, 5*x = 5*h - 625. Let t = x - -339. Let j = -146 + t. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3757005 and -43\/203?\nAnswer: 108953145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -6410?\nAnswer: -3\/6410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -30?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 n, and 1 j when three letters picked without replacement from {x: 1, j: 2, n: 14, w: 2}.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7466 or 7444?\nAnswer: 7444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 30*f + 37. Let r be x(16). Suppose -4*w + 28 = -h + 3*h, -55 = -r*h + 5*w. Find the first derivative of 29 - 43*l + h*l - l wrt l.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (762\/635)\/((-6)\/20). Let a(y) = -y**3 - 4*y**2 + 5*y - 1. Determine a(b).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 q when three letters picked without replacement from bpbppbbspbbqbqbs.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398*u**2 + 9352*u**3 + 87*u**2 - 9368*u**3.\nAnswer: -16*u**3 + 485*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 8246, 8245, 8244?\n\"Answer: -a + 8247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 1. Suppose -z + 4*z + 190 = 4*g, z + 2 = 0. What is the smallest common multiple of g and h(-7)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37177 - 37103. Calculate the remainder when 375 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + 44*c**2 + 245*c - 8. Determine s(49).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17136 - 4\/7*i**3 - 1824*i - 404\/7*i**2.\nAnswer: -4*(i + 17)*(i + 42)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2.08504\nAnswer: -0.417008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, q: 7, f: 4, s: 1, p: 2}. Give prob of picking 1 f, 1 s, and 1 d.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*(u\/u**(-2\/7))\/u))\/u*u**(2\/9)*u**(2\/3)\/((u**6*u)\/u) assuming u is positive.\nAnswer: u**(-403\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*w - 11*w**2 - 14*w**2 - 11*w**2 - 238*w + 37*w**2.\nAnswer: w**2 - 82*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/49*0 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1d - -1357?\nAnswer: 1374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -79*j. Let s(o) = 2331*o. Let d(w) = 5*s(w) + 148*v(w). Let y(a) = -a. What is y(d(m))?\nAnswer: 37*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 12 - (18 + 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8703688 + 8703688 - 15*i.\nAnswer: -15*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/8, -114, 0.12, -5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 12*p + 60. Suppose 7*q - 2 = p. Suppose -81 = -q*f - 11. What are the prime factors of f?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*r + 928 + 734 = 24 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 4 = i. Let t = 15 + -9. Suppose -28 = -t*v - 4. Calculate the remainder when v is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 3. Let v = -1.4 + m. Let u(r) = r**3 - 22*r**2 + 87*r - 57. Let n be u(4). Which is the biggest value? (a) 2 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 36 + (-67 - -11)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 70\/(-68))\/((-2)\/(-8)) + 0.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s - 5672 = -29774. List the prime factors of s.\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {v: 3, k: 5}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/4*132\/(-24). Solve 21*g - k = 32*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -l**4*w**3 - 185*l**4*w - 27*l*w**3 - 4*w**3 wrt l.\nAnswer: -12*l**2*w**3 - 2220*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -7. Let c(z) be the second derivative of j + z + z**2 - 1\/2*z**3. Calculate c(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 13 + -10 - (23 + -16).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 94, 196, 342, 538, 790, 1104, 1486?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 2*c - c**2 + c. Let v be (2\/(-5))\/((-3)\/15). Let t(h) = h**3 - 3*h**2 + 4*h. Determine v*t(a) - 7*p(a).\nAnswer: 2*a**3 + a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 10*p - 6. Let f(h) = 10*h**2 + h + 1. Let x be f(-1). Let o be j(x). Suppose -o - 65 = -3*z. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5345, 9466, 13587, 17708, 21829?\nAnswer: 25950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 + 4 + (-1 - -1). Let s be (a\/5)\/(2\/2). Solve c + 2*i + 10 = s, 4*i - 2 = -14 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1163 - -9?\nAnswer: 1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-286)\/440 + (-1 - 28\/(-20)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -355855?\nAnswer: 711710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 - 17*w\/3 - 16\/3.\nAnswer: -(w + 1)*(w + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 13. Let z(b) = -b - 13. Let y(x) = -3*t(x) + 4*z(x). Let h be y(-15). What is the derivative of 7*j**2 + 8*j**2 - 12*j**h + 7 + j**2 wrt j?\nAnswer: 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/3*a**2 + 2\/3*a - 1\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*r = 17*r - 8. Suppose -6902 + 626 = -5*o + r*b, 3*o = 4*b + 3764. List the prime factors of o.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/34 and 8\/28 + 615\/28?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137556 is divided by 97.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*z = -1 - 249, -3*o + 2*z + 226 = 0. Suppose 0 = m + o - 239. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002708788 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 - -28. Let a = -7 + x. Solve 29 = -5*m + 2*z, -z = -a*z - 2 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbjjjbbbbbjj?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -2. Let t = 8 - i. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 2*s. Let z be i(3). Let t be (-3 - -4) + (z - 0). Is 0 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8570135*u**2*y**2 + 3*u**2*y + u*y**2 + 4*u*y + 2*u + 27482*y**2 wrt u?\nAnswer: 17140270*y**2 + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2, 6.\nAnswer: 2, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3475 = 4*r, 4*k - 874 = 11*r - 12*r. Suppose -5*c = r - 4125. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 732a7?\nAnswer: 732a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4e14 (base 16) in base 3?\nAnswer: 1000102022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2665 = -277*k + 1128 - 192. Solve -21*u - k = -97 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 151957 or 151943?\nAnswer: 151957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/15*280\/(-56)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 51 = 6*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 340404669*l**2 - 241772804*l wrt l.\nAnswer: 680809338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 + 0*s**2 + s**2 + (0*s - s + 4*s)*(4*s - 3*s - 4*s) - 2*s**2 + 7*s**2 + 10*s**2 + 7 + 4*s**2 - 11*s**2 + 4*s**2.\nAnswer: 5*s**2 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35925 and 3426400?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Let g(x) = 3257*x - 6. Determine j(g(f)).\nAnswer: -9771*f + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 133*s**2 + 15*s - 240. Does 7 divide j(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39116\/(-33782) + (-3)\/(-3 - 0)\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**3 + 2*c**3 - c**3 + (-c**2 + 3*c**2 + 0*c**2)*(-2*c + 0*c + c) + 6*c**3 + 0*c**3 - 3*c**3 + 1 - 3 + 3296*c**3 - 3346*c**3.\nAnswer: -51*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g + 15. Let b = 10 - g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - -5 - -10?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-21)*(-111)\/74)\/((-30)\/42*6).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/2, -0.012, -1, 2, -18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351\/4*x**2 + 3\/4*x**4 + 0 + 15*x**3 + 243\/2*x = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -6 + 23 + 1106 + -1152.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -4.56. What is the closest to 1 in 5, g, -0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 545050906*o**2 + 971923*o - 42.\nAnswer: 1090101812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -855 + 864. Let v(r) = -r**3 - 5*r**2 + 6*r - 5. Let s be v(-6). Which is the second biggest value? (a) 1\/4 (b) s (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 77, 187, 355, 587, 889, 1267?\n\"Answer: m**3 + 20*m**2 - 9*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 4\/(-6))*0. Suppose -7 = 5*g - 4*g - 5*s, -s + 11 = 3*g. Suppose 4*y + g*d = -16, -2*y + 2*d = 2*y - 4. Sort r, 1, y in ascending order.\nAnswer: y, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 11 - 3)*(6*i + 11*i - 7*i - i - 3*i + 5*i + (-2*i + 5*i - 4*i)*(6 - 2 - 1)) + 2*i + 2*i - 2*i.\nAnswer: 50*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/25, 2\/15, -5, 1\/4 in increasing order.\nAnswer: -5, -2\/25, 2\/15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (90\/(-60))\/((-3)\/14). Suppose -f*v + 20*v - 78 = 0. Which is greater: v or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-198)\/234 + 2\/(-13). Let z(t) = -t. Calculate z(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 3*l = 2*k + 35, -3*k = l - 20. What is the derivative of 0*v - 10 - k + 2*v + 3*v wrt v?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 7. Is 14 a factor of (-4)\/3*(0 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 8*h = -3*h + 20, 2*h - 2 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7955 and 1069115.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2. Let b(p) = -20*p**2 + 10. What is m(b(l))?\nAnswer: 800*l**4 - 800*l**2 + 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 2b937?\nAnswer: 2b940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 0 - 27\/4*w**2 + 9\/4*w**3 + 15\/4*w + 3\/4*w**4 = 0?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 7*v**5\/10 - v**4\/3 + v**3\/6 + v**2 - 4*v. Let f be o(2). Calculate the greatest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 143, 287, 431, 575?\n\"Answer: 144*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 12, o: 3, d: 1}.\nAnswer: 99\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9))**(19\/4)*(s**(-3))**43 assuming s is positive.\nAnswer: s**(-2303\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28764 divided by 51.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/29668 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1472 divided by 3.\nAnswer: 1472\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64.1 - 56. Let z = -8 + n. Let h = 4.07 + -0.07. Which is the smallest value? (a) z (b) -3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -538615\/151 + 3567. Let d = q + 147\/302. Factor d*u**4 + 0*u + 1\/2 + 0*u**3 - u**2.\nAnswer: (u - 1)**2*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -435 and -1209.228.\nAnswer: -1644.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(374)\/sqrt(176)*6)\/((sqrt(2) - sqrt(128)*-3) + sqrt(126)\/sqrt(7)).\nAnswer: 3*sqrt(17)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = 4*i. Let h be (1 - 1 - i) + 2. Solve y + h = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -131. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 90*u + 1797. Determine m(-20).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 4 = 13*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2248694 (base 10) to base 12\nAnswer: -9053b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/4 + 7\/4. Let s be 9 - 348\/36 - (-33)\/(-72)*-2. What is x in s*x**2 - t*x**3 + 0 + 1\/2*x**5 + 0*x - 1\/4*x**4 = 0?\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31 + 40. Let h be 1 - (1*-3)\/1. Find t, given that 31*t**3 - 3*t**2 - 1 - 17*t**3 + p*t**2 + 3*t**5 - t + 11*t**h = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 5*r = 3*k - 75, 2*r + 90 = 5*k. Suppose k = 2*u - 6*u. Let z(d) = 3*d**2 - 7*d - 13. What is the units digit of z(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (12 + -9 - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109479921 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.189 + -0.021. Let d = u - -1.21. What is the closest to d in 2\/7, 3\/4, 4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-222)\/(-24) + -18 + (10 - 1)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {c: 4, q: 2, a: 1, w: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -788, -792, -796, -800, -804, -808?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 - 3*a - 29. Let z(j) = -4*j**2 - 5*j - 58. Let k(s) = -5*l(s) + 3*z(s). Differentiate k(g) wrt g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-660)\/48*1180\/(-649)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5857 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*f**3 + 6 - 10*f**3 - 8*f**3 + 28*f**3 + 8*f as q*f + i*f**2 + c + m*f**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35*f**6 - 15*f**2 + 54*f - 54*f wrt f?\nAnswer: -4200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-392 - 568 + 1101)*(-2*h**3 + 1 - 1)*(6*h - 4*h - h) as q*h + o + j*h**3 + m*h**4 + d*h**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 796412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 933*h - 2889. What is the ten thousands digit of l(15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {m: 1, u: 7, v: 1, x: 2, o: 8}?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**7\/56 + s**6\/20 - s**4\/8 + s**3\/8 + 27*s. Determine r so that z(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3228, -26325, -89036, -211173, -412548?\n\"Answer: -3302*b**3 + 5*b**2 + 2*b + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Let h = -2 - 3. What is the closest to t in -3\/7, h, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 14*q - 27. Suppose -w + 1 = -1. Let x = w + -6. Sort x, q, 3 in descending order.\nAnswer: 3, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 49*z**2. Let o(m) be the third derivative of m**4\/24 + 2*m**2 + 51*m. Calculate o(l(j)).\nAnswer: 49*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a week in seconds?\nAnswer: 25200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*6\/((-54)\/15). Let h(a) = a. Calculate h(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 16. Determine j(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/336 and 49\/6.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:58 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1008, -0.15, 5, -0.12.\nAnswer: -1008, -0.15, -0.12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 6*o**2 - o - 4. Let x be r(-6). List the prime factors of x\/4 - (-44)\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1630 + 1750. What is the greatest common divisor of n and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 4, o: 12, a: 3}. Give prob of picking 1 e, 1 b, and 1 a.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 78.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -420*z**3 + 2*z**2 + 6*z - 4. Let s(m) = -1682*m**3 + 9*m**2 + 24*m - 17. What is -9*d(w) + 2*s(w)?\nAnswer: 416*w**3 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*i + 67*i = -340 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269704 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 234618360 * -4\nAnswer: -938473440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3\/4, -0.5, 1\/14 in decreasing order.\nAnswer: 1, 3\/4, 1\/14, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/42952 and 107\/109032?\nAnswer: 1417416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44312045*q**5 - q + 49282556.\nAnswer: 886240900*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14327429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.71 and 0.1083.\nAnswer: -0.293493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = q - 4, 0 = -5*v + 2*q - 6 + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o - 50. Calculate n(1).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1518139 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232104, -232101, -232098, -232095, -232092, -232089?\nAnswer: -232086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 266 divided by 133.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2251 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 706*u + 254 = 791*u - 3486 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1967*v + 0 - 1967*v + 4 + 2*v**2 wrt v?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**(-1\/6))\/f*f*f**(1\/9)*f)\/((f\/f**(-1))\/f)**(-1\/10) assuming f is positive.\nAnswer: f**(137\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/5)\/(2\/(-10)). Suppose -o*n - 3*g - 10 = -64, g = 5*n - 58. What is the greatest common divisor of 8 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 4802733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6364 by 630.\nAnswer: 3182\/315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-2156)\/(-280) - (-148)\/(-160)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10*k**2 - 34 + 11*k**2 + 12*k**2 + 13*k + k**3. Is y(-27) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -6*o - 6. Let l be ((-12)\/o - -1) + 1. Solve 0 = -l*u - 0*u + 10 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-34885)\/(-30) - (-1)\/(-1 + 7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 5\/13418?\nAnswer: 5\/13418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, j: 4, z: 1, s: 1, t: 2}. What is prob of sequence tztj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 1 - 4) + 9 + -23 + 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13459\/14 + 963. Calculate the common denominator of -29\/18 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + j**2)*(-2 + 2 + 2*j) - 37773*j + 392*j**2 + 2*j**3 + 37773*j as v*j**2 + h*j + g*j**3 + k and give v.\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162862 not equal to 162879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 275, 338, 435, 560, 707, 870, 1043?\n\"Answer: -o**3 + 23*o**2 + o + 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2. Let c(i) = 5*i. Let u(x) = -2*x**3 - x**2 + 2*x - 3. Let f be u(-2). Let b(s) = -6*s - 6*s + s. Let p(w) = f*c(w) + 2*b(w). Give p(d(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(0*h - 2*h + 0*h) + 1 + h - 1 - 51*h + 1349 - 1349.\nAnswer: -54*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12207 is divided by 1667.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/151, 0, 3, 2\/5, -0.4, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12661.929 - 12660. What is the third smallest value in -0.04, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 4*a + 6. Let z(m) = m**2 + 6*m + 6. Let r be z(-4). Let f = -71 - -60. Let v be r\/f + 92\/(-22). Calculate x(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.9 in -0.2, 0.2, -3121?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j**2 - 8 - 14*j**2 + j - 2*j**3 + 3*j**3. Let h be d(9). Is (h\/3)\/((-1)\/(-57)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.96 - -5.7. Let f = -0.56 - t. What is the second smallest value in f, -2\/3, -6?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-70984)\/(-22416) + 2031\/18\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 4. Let w(n) = -7*n + 2. Let l(k) = 57*k - 15. Let a(h) = -4*l(h) - 33*w(h). Let i be a(6). Suppose 7*x + i = 3*x. What is f(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 497458, 497462, 497466?\n\"Answer: 4*z + 497454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 4*n**3 - 6*n**3 + (-4*n**2 + 5*n**2 - 4*n**2)*(-2*n + 0 + 0)*(-14 - 12 + 7).\nAnswer: -123*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(1\/9)))\/(y*y\/(y*y\/y**5*y))*(y*y*y**(-2))**13*y**(3\/11)*y*y**(4\/3)*y\/((y\/(y\/(y\/y**9)))\/y)*y**(-3\/2) assuming y is positive.\nAnswer: y**(1385\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 7*h**2 + 7*h - 6. Let t be k(-8). Suppose 98 = t*i - 60. Calculate the remainder when i is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 24*l**2 - 127)*(-7*l + 3*l + 2*l).\nAnswer: 48*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, m: 3, b: 1, p: 2}. Give prob of sequence pm.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 + 8*j**2 - 2*j - 9. Let m be u(-8). Suppose -m*r + 9*r - 4 = 0. Let y(k) = -k**3 + k**2 + 2*k. Give y(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 649 - 665. Suppose f - 5*k + 32 = -2*f, -5*f + 2*k = 66. Which is smaller: f or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 175\/(-7))*6\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.643306 millilitres to litres.\nAnswer: 0.007643306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, -55, -162, -307, -484, -687, -910?\n\"Answer: u**3 - 28*u**2 + 14*u + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -654 + 2615\/4. Which is the smallest value? (a) o (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/((s**(-4)*s)\/s))\/s*s**(-9))\/(s**7*s**(-1)))\/((s*s**(1\/2)*s)**(-22))**(-20) assuming s is positive.\nAnswer: s**(-1111)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34279 is divided by 2856.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -13. Let b be (z - (10 - 0))\/1. Let q(i) = 2*i**2 + 13*i + 11. Let x be q(b). Solve -2 = -g - x for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**4 - 272*m**3 + 21956*m**2 + 102720*m - 1026000 = 0.\nAnswer: -114, -9, 5, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -1\/6, -0.3, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 28. Suppose d*y = 3*y - 2*t - 71, -54 = -2*y + 3*t. What is the highest common factor of 14 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 1038560?\nAnswer: 3115680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 105522682 divided by 9?\nAnswer: 105522682\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4*r + r**3 - 5*r**2 + 9*r**2 + 7*r**2 + 5*r. Let x be d(-10). Let w(t) = t**3 - 6*t**2 - t - 13. Is w(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2 and 41\/104544030.\nAnswer: 104544030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -7. Is (-5)\/(-15) + (5430\/k)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/(-5))\/(6\/30). Let w be -5 + 2 + i\/3. What is the highest common factor of w and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 1789*h**3 - 4*h**2 + 1848*h**3 + h + 3*h**2 to s + c*h**3 + v*h + g*h**2 and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9169\/5310 - 4\/885. Find the common denominator of (1665\/(-444))\/((-54)\/38) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 12*a**2 - 5*a - 39. Let d be f(4). Let x = d + -87. Solve -p - 15 = -x*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1854, 27, 2, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = p - 2, -2*p = 28*z - 31*z + 10 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {o: 1, n: 1, i: 2, a: 1, v: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 3*f - 46, -63 = -s + f - 9. Calculate the remainder when s is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**6\/24 - 13*t**5\/60 - 4*t**2. Find the third derivative of b(q) wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(153)*-2*3 - (-2*sqrt(612) + -4)))**2 + 2.\nAnswer: -72*sqrt(17) + 650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 630 = -7*t. Suppose -52*m + 60*m - 1392 = 0. Let n = m - 129. What is the highest common factor of n and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z - 1. Let w(m) = -m**2 + m - 1. Let c(j) = -h(j) + w(j). Let a be c(-3). Solve -5*l = -a*l + 20 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -219 - 117*m + 32*m + 49*m + 62*m**2 + 34*m to the form y*m + h*m**2 + s and give s.\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*n + 925 = -377*n + 198*n for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 168343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.05 (b) 768 (c) -0.5 (d) -8\/7 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21 - -14)\/(5\/(-140)). What is the greatest common factor of 252 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 128, 131, 136, 143, 152, 163?\n\"Answer: m**2 + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1 + 190\/75)\/((-16)\/6) and -95\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3429242.\nAnswer: 2, 1714621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 225 (base 7) to base 12.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -239 divided by 3.\nAnswer: -239\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2\/47, 1\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 7*y**2. Let i = 263 + -261. Let z(a) = 0*a - i*a + 7*a + 0*a. Determine z(w(x)).\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaq. What is prob of picking 3 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 104, 3, -1 in decreasing order.\nAnswer: 104, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 320\/18 - 8\/(-36). Let b = -23 + a. Let l(w) = -w**2 - 6*w - 4. What is l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/3 - 5128*m**2\/3 + 176832*m.\nAnswer: 2*m*(m - 2456)*(m - 108)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + m = 2*v - 96, 3*m = 0. Let o = -22 + v. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:03 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11915930 is divided by 74?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 4 - (65 - (56 + -52)).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*f - 36, -4*f + 2 = -3*f. Let x be (20\/g)\/((-11)\/(-2)). Let k = x - -9\/44. Is k < -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -m**3\/3 + 16*m. Let j(r) be the first derivative of -6*r**3 + 7*r**3 + 19 - 5. Calculate j(l(k)).\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 203420114 (base 5) to base 6\nAnswer: 30013421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 5)**2*6.\nAnswer: 540*sqrt(17) + 8412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1116)\/(-396) - ((-62)\/(-22) + -3). Let k(h) be the first derivative of 0*h**w + 0*h + 3\/4*h**4 - 1 + 0*h**2. Factor k(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-474 + 473)\/((-8)\/(-388)*-193 - -4)*2\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5 + 152*v**4 + 792*v**3 + 1444*v**2 + 1130*v + 324.\nAnswer: -2*(v - 81)*(v + 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m - 4 = -21*m - 4*b, -3*m + 2 = 2*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 1052284?\nAnswer: -1052284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + s + 1. What is the remainder when f(-2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -3. Solve 3*k + s = -14 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h + 189 = -30*h. What is the greatest common divisor of h and 198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/4)\/((-12)\/(-240)). Let g be 3\/(-3 + 36\/a). Suppose -4*x = -g*x + 72. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 131359379 to the nearest integer?\nAnswer: 11461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -32175, -32139, -32111, -32091?\n\"Answer: -4*q**2 + 48*q - 32219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 - m - 2. Suppose d = 3*d - 8. Let t = 7 + -4. Suppose -2*x - 21 + t = 0. Let j(y) = -7*y**2 - 2*y - 4. Determine d*j(q) + x*v(q).\nAnswer: -q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 l when four letters picked without replacement from lglccggccggcgg.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4574 + 4582 + 19*k**3 - k**3)*(-5*k + 13*k - 7*k) to b*k**2 + y*k**3 + o*k + f*k**4 + c and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of p**3\/3 + 8. Let f(k) = 2*k - 1 + 1. Determine f(o(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a69 - 1?\nAnswer: 4a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4263*z**2 + 225940*z + 57. What is q(-53)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3064 + 7979. Suppose 1936 = 17*m - r. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 11:10 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -92\nAnswer: -9\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.995959*1\nAnswer: -1.995959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4*n - 67 = 0, 27 = 3*z - 5*n - 21. What is the greatest common factor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 0 + -2 - (-31 + (-34 - -58)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(15\/18) + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*1*(-25)\/50?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-45)\/6))\/(10\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/3))**37 assuming g is positive.\nAnswer: g**(-74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -14*r - 9. Let p be d(-4). Suppose 5*k = -3*n + 49, 4*k = -4*n + n + p. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -55*f**2 + 2*f - 2. Let c(d) = -384*d**2 + 15*d - 15. Give 2*c(h) - 15*l(h).\nAnswer: 57*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2915 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*v - 10 = 0. Suppose -v*b + 4*r + 13 = -19, -b + r + 13 = 0. What is the remainder when 18 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 77*h + 1320. Let k be r(52). Let x(u) be the first derivative of 40\/3*u**3 + 0*u + 5\/2*u**2 + k. Find the second derivative of x(d) wrt d.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/11 - 3*4\/(-66). Suppose u + y - 20 = -5*a, -5*a = -3*u - 18. Factor 0*p**2 + 0 - 2\/13*p**a + 2\/13*p.\nAnswer: -2*p*(p - 1)*(p + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 46*a**2 - 220*a + 75. What is p(27)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = -28. Let q be 26\/4 + 3\/(-6). Calculate the remainder when m is divided by ((-189)\/q)\/(-7)*2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 0 + (-2)\/(-1). Let p(n) = -n**2 + 6*n - 2. Let a be p(l). Let f(g) = -g**3 + g**2 + 3*g + 4. Determine f(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cd8 + -145?\nAnswer: -1e1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -1127.\nAnswer: -1127.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*2\/(16\/(-4)). Let b = -4 - -8. What is the smallest value in -0.5, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108601849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gio when three letters picked without replacement from {i: 1, g: 1, r: 1, o: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) 0.4 (c) -1\/2 (d) -2\/39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -148 in -0.2, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110000100 + -1101?\nAnswer: -110110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ull when three letters picked without replacement from {u: 1, p: 2, a: 4, z: 3, l: 7}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -15 + 64\/3*a**3 + a**2 - 4*a. What is the first derivative of u(s) wrt s?\nAnswer: 128*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-525) - (-12)\/882*(-336)\/8?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-2 + 3 + -5 - (-7 + 3)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + -0.8. Let z = -90 - -152. Let i = z - 62.03. Which is the second biggest value? (a) i (b) s (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1693, -2443, -3197, -3955, -4717, -5483?\n\"Answer: -2*j**2 - 744*j - 947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 4*z. Let j be v(4). What is the units digit of (1 - 2 - j) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*i + 1483*i**2 - 1037*i**2 - 4*i**3 - 3 - 448*i**2 in the form p + z*i**2 + w*i + o*i**3 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*t - 3024 = -14*t. Let o = 256 + t. Solve 5 = -z + o*g, -4*z - 3*g + 6 = -7*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 3 - -4)*2. Find the first derivative of -10*f**2 + 11 + 1 + 0*f**2 - 3*f**l wrt f.\nAnswer: -26*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/9)\/(3\/27). Suppose -5*w + 4 = -6. Let s(l) = 0*l - w*l + 6*l - 2 - l**2 + j*l. Determine s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p - 104*p = 655 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/2 + (55 + -9 - 57).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33736.\nAnswer: 2, 4217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l - 17 = -3*w - 3*l, -11 = -5*w + 4*l. Let v be w*0\/((2 - -1) + -5). Let g be (-14)\/133 - (-2 + (-10)\/95). Solve v = -g*u + u - 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 389760700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.31 - 5.31. Let v = -0.1 - -3.1. What is the closest to 1 in u, v, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**8\/168 - o**4\/3 + 2*o**3\/3 + 16*o. Let c(j) be the second derivative of i(j). Differentiate c(k) with respect to k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285951775 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2667307940 - 4.\nAnswer: 2667307936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -3825435?\nAnswer: -114763.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87910996 divided by 246941.\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*n**3 - 23*n**3 + 6223*n + 70*n**3)*(-2*n**2 + 6*n**2 - 3*n**2).\nAnswer: -2*n**5 + 6223*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3\/2 (b) 2\/7 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -34, -58, -82, -106, -130, -154?\n\"Answer: -24*d - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*f = 904*f - 3612 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 5) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 331*b**3 + 2*b**2 - 2*b + 6. Let u be j(2). What is the hundreds digit of (-5 - 2)*(u\/(-14) + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4726 = -4726. Let n = 8 + -7.9. What is the closest to 2 in l, -0.5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**3 + 14*j**2 - 5*j + 9. Let d(v) be the second derivative of 13*v**5\/20 + 7*v**4\/4 - 7*v**3\/6 + 13*v**2\/2 + 206*v. Give -7*a(k) + 5*d(k).\nAnswer: 2*k**3 + 7*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -6. Let o = 2523 - 2520. Solve -2*t - 3 = 5*s, s - l*t + t = -o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -21*d**4 + 9*d**3 + 114*d**2 + 4. Let x(h) = 10*h**4 - 4*h**3 - 57*h**2 - 2. Let b(y) = 4*w(y) + 9*x(y). Find the third derivative of b(k) wrt k.\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2014 (base 5) to base 9.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1256941553.\nAnswer: 7, 179563079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 16*m = -8. Suppose 0 = 3*j + 15, 7*g + 3*j + 86 = m*g. Find the third derivative of g*z**3 + 34*z**2 - 95*z**3 - 1 + 1 wrt z.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -310*t + 257*t - 426 - 51 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3958502.\nAnswer: 2, 1979251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 9. Calculate the common denominator of 59\/18 and (x\/(-5))\/((-8)\/(-485)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 102992 and 12246.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*v)**35*v**(-4\/11)*v*(v*v**(-4))\/v)**43 assuming v is positive.\nAnswer: v**(64629\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1444647 is divided by 443.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 265616 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -4*a**4\/9 + 256*a**3\/9 - 4052*a**2\/9 + 7640*a\/9 + 11200\/3 = 0.\nAnswer: -2, 5, 21, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -822, 4, -3 in decreasing order.\nAnswer: 4, 3, -3, -822","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5042 (base 6) in base 9?\nAnswer: -1458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.12 in -50, 0.0547, 8?\nAnswer: 0.0547","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**3\/3 + 22. Let v(k) = -4*k**2 - k**2 + 6*k**2. Determine c(v(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from {b: 3, z: 1, m: 1, r: 10, a: 3, l: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 13*a - 7. Differentiate -5*y + 117 + 5*y + 97*y**2 + 11 - a with respect to y.\nAnswer: 194*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 442*b - 4448. Calculate s(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2451 + 2446 + -1 + -41\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 8:37 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34\/5 of a microsecond?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 6*u + 6 = -3*u, -5*g + 4*u = -3. Solve g*j = 6*j + 5*h + 22, j - 16 = 3*h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211\/6 + 35. Let m(p) = -p**2 - 9*p - 10. Let w be m(-7). Let d = 3 - w. Which is bigger: d or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27377120 divided by 1985.\nAnswer: -13792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + l + 12892. Let k = -1176 - l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 10*o**2 + o + 11. Let s be m(-10). What is the remainder when 13 is divided by (s\/3)\/((-3)\/(-36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/5 - 4054*t**2\/5 + 12072*t.\nAnswer: 2*t*(t - 2012)*(t - 15)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14201 is divided by 6510.\nAnswer: 1181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3520))\/(-3*1*sqrt(11) + sqrt(11)))**2.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6*(-4)\/(-3) - 4 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 less than or equal to -87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28 + -30 - (1 + -41)) + (12 - 10).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -s + 501. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 769.6998 centuries to months.\nAnswer: 923639.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + 1111?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 12*g + 1 - 11 - 2*g**2 + 1. Let w be i(11). Suppose 2*h = -5*d + w*d + 39, 2*d = 4*h + 26. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 56 = -4*j - 2*y, -3*j = -3*y - 21. Let f be (-3)\/(-2)*-72*j\/1. What are the prime factors of (f\/24)\/((-1)\/6)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 at most as big as 678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2 + l**3 + 6 - 5*l - 3 + 2*l**2 + l**2. Let r be j(-4). Suppose 3*f - 3 = 9. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-20))\/(1\/5). What is the greatest common divisor of r and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x. Let p(o) = 10*o**2 - 9*o - 10*o + 19*o. Determine t(p(r)).\nAnswer: -70*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 2*p - 4 - 1 + 1. Let j be g(-3). Let n be 107\/(-2) + j\/(-14). Round n to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, r: 1, a: 1, b: 2, i: 3, c: 3}. Give prob of sequence cc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 38, 77, 112, 131, 122, 73?\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 639185 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 2451617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2422030*j - 6. Let i(v) = 2*v. What is l(i(q))?\nAnswer: -4844060*q - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: c25e97 (base 15) to base 7\nAnswer: 141326020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 2\/3, -2\/265 in decreasing order.\nAnswer: 2, 2\/3, -2\/265, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3006, -24078, -81264, -192618, -376194?\n\"Answer: -3009*l**3 - 3*l**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 74695?\nAnswer: -74695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.47*9560.\nAnswer: -42733.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (150038\/(-21) - 2)*(-48)\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 27*d**5\/20 - 12*d**2 + 21*d. What is the first derivative of h(n) wrt n?\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 16954?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -25*u**2 - 2159*u + 624. Let t(a) = 402*a**2 + 34545*a - 9987. Let i(w) = -33*k(w) - 2*t(w). Let i(f) = 0. Calculate f.\nAnswer: -103, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5 = 2. Let d = -1 - m. Suppose -n + 3*n = 0. Which is greater: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 8*n**2 - 7*n + 9. Let h be s(7). Let q(u) = u - 7. What is the units digit of q(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u**2 + 3*u + 1. Suppose f + 4 = 2. Let d be z(f). Let s(p) = -12*p + 6*p + 0 + 2 + d*p. Give s(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8842184 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3743813?\nAnswer: 29, 129097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 w, 1 j, and 1 m when four letters picked without replacement from {w: 1, m: 1, h: 1, y: 1, j: 2, k: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -256968 - -391915. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4278\/(-2697)*(-3016)\/208?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106596457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -306 by 2.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2 - 5772668*a + 4165461979778.\nAnswer: 2*(a - 1443167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -3.532 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 66138067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14)\/(-3 + 5845\/1939). Let h be (4 + (-2 - 0))*494. Let p = n + h. Calculate the common denominator of -7\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-14) + 2)*(-5)\/((-40)\/(-16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 5 = -13. Let a(v) = v - 2. Let k be a(2). Let p(f) = 2 - 12 - 4*f + 12*f + k. Let r(m) = -m + 1. Determine u*r(z) - 2*p(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a tonne in kilograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, and 1 k when three letters picked without replacement from pxclpkpp.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15 + 2540\/128 + -5 and (-2)\/(-4)*(-109)\/(-6).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78152 is divided by 19525?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 0.1, 3, -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-34))\/((-20720)\/(-22015))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*m - 42, 0 = -q - 2*m + 42 + 5. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000011000 (base 2) to base 6\nAnswer: 2252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20689 - -2914?\nAnswer: 234a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22\/37 (b) -589\/113 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 - 4 = -2*v, 0 = 3*h - 3*v - 9. Suppose 230 = 2*r + 2*w - w, -3*w + 234 = 2*r. Let u = r + -112. What is the remainder when h is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36\/25 (b) -2\/9 (c) 0 (d) 2\/5 (e) 2\/17 (f) 91 (g) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -527496*q**2 + 1054343*q**2 - 527155*q**2.\nAnswer: -308*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 3*i - 11. Let q be d(5). Calculate the least common multiple of 10\/5 - (2 + q) and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.5476043 take away -17660.8?\nAnswer: 17688.3476043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 3 + 5 - (-340 + 354)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -369112669*g**4 + 672896994*g.\nAnswer: -4429352028*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(196\/(-84)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*g + 311*g - 626*g + 12 as l*g + c and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 3*k**4 + 5*k**4 + 1 - 1 + 2*k**4 + (2*k - 1 + 1)*(6*k + 5*k**3 - 6*k) + 0*k**2 + 0*k**2 - k**4.\nAnswer: 14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173970 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 4942*j**3 + 18213447*j**2 + 771515388*j + 8123860332.\nAnswer: (j - 7434)**2*(j + 21)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 4, k: 4, i: 2, v: 1}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -8, 3, 60 in increasing order.\nAnswer: -8, -5, -4, 3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 3*r - 29 = -5*x, -3*x - 3 = -5*r. Suppose -4*b - 8 = -2*a, 0 = 3*a + x*b - 4 - 8. Find the first derivative of n + 2*n - 1 - a*n wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 5*d + 6. Let x be f(6). Let b(p) = -7*p + 1 + x - 2. Determine b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3037125 take away 1056977?\nAnswer: 1980148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -0.03, -2\/3, -2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/2)\/(3 - (-17)\/(-7)) and 46*(-5)\/36 + 1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*(-2)\/(-12)*(-26)\/(-65). Let f = 17 + -13. Sort a, 0, -31, f in decreasing order.\nAnswer: f, a, 0, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1530 = 16*w - 7898. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1253 or -136?\nAnswer: 0.1253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0073 and -4.\nAnswer: -0.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - 89.29. What is s rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4101, 4103, 4113, 4137, 4181, 4251?\nAnswer: 4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**4\/12 - r**3\/6 - r**2 - r. Let o be d(0). Let q be ((-12)\/3)\/o - -2. Solve c = q*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121420934 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 679 + 121 = -2*u, 4*u - 1106 = 3*q. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + g - 5*g + 1224, -3*g + 732 = 3*w. Let c = w + -199. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 + 1 = 0. Let r(a) = -3*a - a - f*a. Let k(n) = -2*n**2. Calculate k(r(d)).\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 825 and 2666433.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 139 - -151?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4335 and 35870?\nAnswer: 1829370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 608608 and 337896.\nAnswer: 1976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-3) + (-10)\/(-6). Let h be (d + -3)*(-2)\/(-4). Let m = -0.2 - -0.3. Which is the closest to m? (a) h (b) -0.1 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, 0, 2\/11829, -2\/7 in descending order.\nAnswer: 60, 2\/11829, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32785106 and 34308?\nAnswer: 1906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -291, -186, -11, 234, 549, 934?\nAnswer: 1389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 11 = 3*y, -3*d + 8*d - 38 = 4*y. Let i be (-12)\/(-7) + (-2)\/y. Let c(s) = s - i*s + 4 - s - 6 + s**2. Determine c(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -14 - (36 + 26 + -52)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1\/3))**28\/(q**(-1)\/q**3))\/(((q**(-2\/11)\/q)\/(q\/(q**5\/q)))\/(q**(-1))**(3\/5)) assuming q is positive.\nAnswer: q**(3341\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 8:20 PM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/7 and 103\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 + 54. Let r(g) = 2*g**2 - 3*g - 1. Let v be r(4). Let k = o - v. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 5*c - 10. Let n be f(-7). Let g be (-185)\/(-30)*412 + (-2)\/(-6). Suppose 4*t - 1508 = -4*r + 1036, g = n*r + t. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*m - 3*s - 2, -2*m - 10 = 5*s. Suppose 0 = -p + m. Suppose 2*r - 30 = -2*k, 2*r + p = -5*k + 47. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3, 5, 19, 39, 65, 97?\n\"Answer: 3*s**2 - s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49112*i + 49141*i = 1421. Solve 30*s = -i*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3462, -3464, -3466, -3468, -3470, -3472?\n\"Answer: -2*o - 3460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -3*z**3 - z + 9*z**2 - 17*z**2 + 2*z. Let d be u(-3). Calculate the greatest common divisor of 96 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8544.728 millennia to decades.\nAnswer: 854472.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Put -2, 2, 3, b in descending order.\nAnswer: b, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-130)\/(-12) + 4\/(-12). Let y = l - 143\/14. Let f = 18 - 16.4. Which is the biggest value? (a) f (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 - 45*p**3 + 204*p**2 - 180*p - 432.\nAnswer: 3*(p - 6)**2*(p - 4)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a millennium?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5538.7 + -5776. What is k rounded to the nearest ten?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4717899*k**2 - 22807*k - 143 wrt k.\nAnswer: -9435798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -1\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*d + 26*d = 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 23*r**2 - 23*r - 24. Let f be c(24). Suppose f = -3*u + 180 + 150. What are the prime factors of -4 + 0\/(-3) + u + 0?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0.07 in descending order.\nAnswer: 1, 0.07, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.049 (b) -5 (c) 4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeaaaahht. What is prob of picking 1 h and 1 a?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 16 - 82. Suppose 0 = -3*n - 5*c + 91, -5*n - 2*c + r = -n. Suppose -n*q = -15*q + 379400. What is q rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + x - 2. Let c(d) = -x + 0 - d + d - d. Let y(k) = 3*k + 1. Let f(z) = 2*z**2 - 6*z - 37. Let r be f(6). Calculate r*y(b) - c(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3*(-4)\/(-84)*(-483)\/(-23).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2. Let j(y) = -2196*y - 169. Determine j(s(a)).\nAnswer: -2196*a**2 - 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27296 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4455248?\nAnswer: 2, 7, 39779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -25774, -25743, -25712?\n\"Answer: 31*f - 25805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*v - 3519. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34153, -34547, -35225, -36181, -37409?\nAnswer: -38903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -964*i - 163*i + 37756 = -41285 - 2103 for i.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-9 + 4)) + -1 + 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 770630747?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (((-30)\/(-25))\/(-1))\/(42\/(-1785)). Solve 77 = -i*o - 331 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 + (-125)\/(-5))\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 2*r**2 - 2*r + (5922*r**2 - 2543143 + 2543143)*(3 - 5 + 3) in the form n*r + j + f*r**2 and give f.\nAnswer: 5920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23362, -46720, -70084, -93460, -116854?\n\"Answer: -j**3 + 3*j**2 - 23360*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292 is divided by 62?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x. Let r be ((-21)\/(-2) - 9)*8. Let f(m) be the second derivative of 0*m**2 + r*m + 0*m**3 + 0 - 9\/4*m**4. Calculate p(f(q)).\nAnswer: -27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.856407um in meters?\nAnswer: 0.000008856407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 4 + 1\/7*l**4 - 2\/35*l**5 + 0*l**2 + 0*l + 0*l**3. Let j(y) = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 187274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(9)\/(sqrt(3) - sqrt(75)) + -5 - (-3 + sqrt(3) + -1*sqrt(27)))**2*-4.\nAnswer: -199\/4 + 28*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/2262 and 49\/74.\nAnswer: 83694","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -782717630, -1565435259, -2348152888?\nAnswer: -3130870517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*l = 0. Let j be (-2)\/(4\/(-1))*-12. Let c be 10\/j*(-6)\/(-15). Is l at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959742751 to the power of 1\/2, to the nearest integer?\nAnswer: 30980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2056 and -125\/24?\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12498533.7*1.\nAnswer: -12498533.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7533 at most as big as 7549?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 0 (b) -2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 2 = -m. Is m\/2*67*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 4 = 14*f. Suppose 2*t - 22 = -f*o, 0 = t - 0*o - o - 17. Calculate the smallest common multiple of t and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -15*c - 16. Is 3 a factor of f(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*c - 14, -7*l = -2*l - 4*c + 28. Is -245\/47 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 4 (c) -131 (d) -978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 - t**2 - 5*t - 3. Let g(b) = 6*b**3 + 3*b**2 + 13*b + 9. Let j(f) = -3*g(f) - 8*i(f). Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) + -2*sqrt(2448) + -3)*-1.\nAnswer: 3 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k - 3. Let m(c) = 3*c + 1. Let r(v) = 5*m(v) + 2*u(v). Let f(w) = 4. Determine -f(t) - 4*r(t).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2043349 and 9\/2453.\nAnswer: 2043349","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4431 - 5*k**2 + 8865 - 4436 + 2*k**2 - 2*k**2 + 6*k**2.\nAnswer: k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664.903313 rounded to zero dps?\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 3*z + 15*z + 7*z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.63 and 524?\nAnswer: -1378.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (22 - 11) + 17 + -44?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 7567, 7553, 7529, 7495, 7451, 7397, 7333?\n\"Answer: -5*a**2 + a + 7571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1366 - -5523. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 241, 369, 515, 685, 885, 1121, 1399?\nAnswer: 1725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 15) + 1 + 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -491 + 983\/2. What is the third smallest value in -3, z, -2, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 1\/60*p**5 + 0 + 0*p - 1\/24*p**3 + 4*p**2 + 1\/32*p**4. Factor m(v).\nAnswer: (v + 1)*(4*v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = t + 2*t. Let l be 1\/(-3) + t\/(-12). Does 10 divide -7*((-46)\/14 + l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x**4\/3 + 1394*x**3\/3 + 4696*x**2\/3 + 4504*x\/3 + 224 = 0 for x.\nAnswer: -28, -2, -3\/2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, m: 4, j: 5, u: 10}. Give prob of picking 1 j, 2 u, and 1 a.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1780)\/40*(-4)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 7*u**2 - 5*u + 3. Let o be k(-6). Let p = o + 12. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7641992 divided by -2\nAnswer: -3820996","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (43\/4)\/(6\/24). Let k(z) = j + 36 - 80 - z - z**2. Let s be k(0). Which is greater: s or 1\/61?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8*t + 225. Calculate x(-28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*s. Factor 2\/3*d**4 + 0 + 2\/3*d - 2\/3*d**s - 2\/3*d**3.\nAnswer: 2*d*(d - 1)**2*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 5) + (-339)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/((-4)\/((-36)\/9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:24 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.9 + 2.9. Let y = -3 + d. Let i = -0.800019 + y. What is i rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 286890349?\nAnswer: 1553, 184733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 144*r + 741. Determine t(-69).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2938570 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 w when three letters picked without replacement from {a: 5, w: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/11078 and 93\/22.\nAnswer: 121858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -0.5654 (b) 316 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 3*p - 24. Let n(j) = -2*j**2 + 9*j - 8. Let h be n(p). What are the prime factors of 2\/((-4)\/h) - 1?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 43521?\nAnswer: 43523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/6 + 175\/(-420). Which is the biggest value? (a) 3\/7 (b) l (c) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**2 + 2367*i + 53912 = 0 for i.\nAnswer: -2344, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-4 - -11) - -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155104145?\nAnswer: 5, 7, 857, 5171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42701.53 rounded to the nearest one thousand?\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33030152, 33030151, 33030150, 33030149?\nAnswer: 33030148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59 + 419006203.\nAnswer: 419006144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -174 * 1075\nAnswer: -187050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 29853*p**2 + 1736*p**2 - 4*p.\nAnswer: -28117*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410346697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) -5\/6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, g: 1, u: 2, e: 1, a: 3}. What is prob of picking 3 m and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 8*v**2 - 9*v + 6. Let l = 50 + -41. Let t be p(l). Find the third derivative of x**t - 595*x**2 - 5*x**6 + 580*x**2 wrt x.\nAnswer: -480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133597056 is divided by 255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26444 and 1312584?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of k**6\/40 + 3*k**5\/16 + 9*k**4\/16 + 7*k**3\/8 + 3*k**2\/4 - 28*k. Factor f(j).\nAnswer: 3*(j + 1)**3*(j + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*k - 4*a - 170, -183*k - 32 = -179*k + a for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 814042 by -4262.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/12 + (-191)\/4. Let t = 68 + o. Suppose f - 3*f + 20 = c, 4*f - t = 0. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/35 and 1\/602.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)\/w)**49*((w*w**(-22))\/w)**(-30) assuming w is positive.\nAnswer: w**(-320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1620)\/(-100) + 2\/(-10). Let y be 64\/k - (-129 + 1). Suppose -4*p = -6*p + y. Calculate the greatest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a millennium in months?\nAnswer: 800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*g = -8, 0*q = -q + 2*g - 8. Let p be q\/((-4)\/(-2) + -4). Solve 2*x + 5*v + 26 = p, 7*x + 35 = 2*x - 5*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2\/2 - 3782*c + 263515\/2.\nAnswer: (c - 7529)*(c - 35)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*h + 9 - 3 = 0, -5*n + 5*h + 25 = 0. Solve -2*t + 2 = n*a - 3*a, -2*t - 6 = -4*a for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + 3 - 3 + (48 + 80 + 55)*(4*i - 2*i - i) + 0 - 2 + 1 - i.\nAnswer: 185*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 443924?\nAnswer: 4883164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l)*(-3*l + 3*l + l) + (2*l + 10*l + 0*l)*(-1 + 1 - 3*l).\nAnswer: -35*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, w: 1, r: 2, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -335272 (base 9) to base 12\nAnswer: -98192","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-9) - 28\/6. Suppose 5*v = -m - 7, 0*m + 2*v - 10 = -2*m. Suppose r = -r - m. Sort 1, r, z in ascending order.\nAnswer: z, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 57, 105, 179, 285?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(204)*-5 + (1*sqrt(204) - sqrt(204) - sqrt(204))*3))\/(((sqrt(108)*1)\/sqrt(3))\/(-6*sqrt(12)\/sqrt(4))).\nAnswer: 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x**2 - 4*x**2 - 1 - 6*x**3 in the form k + o*x + c*x**3 + i*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 28*p - 7. Let g(s) = 14*s - 3. Determine -7*g(u) + 3*q(u).\nAnswer: -14*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/32*16\/6. Let a(n) be the second derivative of 0*n**4 - 1\/15*n**6 - n + 0*n**3 + u*n**2 + 0 + 0*n**5. Differentiate a(p) wrt p.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3455 - 3453. Sort u, -0.1, 3, 45 in descending order.\nAnswer: 45, 3, u, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 - 9*y**3 + 9*y**3 + (-3 + 3 + y**3)*(-2*y - 4 + 4) + 6*y + y**4 - 6*y + 2*y**4 + 0*y**4 + y**4.\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 17, -234, -593, -1066, -1659?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z - 134. What is u(-31)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 361 = 24*q - 1399. Solve t + q - 65 = -4*y, 0 = -y - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -751, -1120, -1473, -1804, -2107, -2376, -2605?\nAnswer: -2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - n + 2*n + 5 = 0, -4*n = 5*y + 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + -0.4. Suppose 4*a = 2*j - 15 - 1, -a = -j + 4. Suppose j = -2*r + 4*r - 2. What is the nearest to -2 in 3\/7, r, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -478 - 488 = -86*i + 17*i for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 527496?\nAnswer: 2, 3, 31, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o. Let z(g) = g - 1. Let b = 0 - -1. Let y(v) = -4*v + 3. Let h(n) = b*y(n) + 3*z(n). What is h(u(l))?\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 88, 1680, 19 in ascending order.\nAnswer: 19, 88, 1680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.008 (b) -17 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*g - 15 = -0*g, 0 = p - g - 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*k**2*m - 9*k**2 + 2*k*m + 50*k + 60*m + 3 wrt m?\nAnswer: -33*k**2 + 2*k + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 113 - 188. Let h = w - -105. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*x - 90*x = 32*x + 60*x. Let b be (2 - -10)\/2 + -2. Let -15\/2*j**5 + 10*j**b + 0*j + 0*j**2 + 10*j**3 + x = 0. What is j?\nAnswer: -2\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280 + 284. Which is the smallest value? (a) -3 (b) u (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 424 + 846 = 2*k. List the prime factors of k.\nAnswer: 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 5*q**4 + 105*q**3 + 690*q**2 + 1120*q - 1920 = 0.\nAnswer: -8, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 69 + -345. Let g = z + 276. Let h = 10\/37 - 103\/518. Which is smaller: h or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r - 1, 5*r = -5*l + 5. Let w = 7 + l. Solve -3 = -2*b + w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 5*l**4\/24 - 23*l**3\/6 + 5*l**2 + l. Let x be t(6). Let m(q) = -5*q + 6. Calculate m(x).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 967822.8 milliseconds?\nAnswer: 16.13038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - 0.01. Suppose 2*z + 4*y = -11 + 31, -4*y = 4*z - 28. Let g be (3\/(-9))\/(2\/z). Which is the third smallest value? (a) 5 (b) g (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10483.4 minus 129131.565?\nAnswer: -118648.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*z - 4*z**3 - 92*z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 18, 15, 10, 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 9*q**2 + 8*q + 3. Let a be x(-8). Solve a + 1 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 + 237210*q + 178 - 237217*q in the form i + h*q and give i.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -111*z**2. Let t(b) = 3*b**2. Let y(o) = 16*o**2. Let d(l) = 11*t(l) - 2*y(l). What is d(i(p))?\nAnswer: 12321*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 4 + 2*y - 2*y**2 + 3 - 2*y**3 - 3*y**3 as n*y**2 + q*y**3 + k + o*y and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtm when three letters picked without replacement from {w: 1, m: 1, v: 1, t: 2, g: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5677.418 - 5685. Let s = f + 7.6. Let c = s - 0.588. What is c rounded to 2 dps?\nAnswer: -0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 7*u - 21. Give j(-8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-6 - -6)*(-1)\/(-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.08 - 0.08. Let x be (1\/4)\/(165\/(-88)). Which is the second biggest value? (a) d (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87 = -30*w - 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.915331 + -3684.\nAnswer: -3682.084669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:16 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 583342379 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + 0 + sqrt(432))*-2)**2 + sqrt(588)\/sqrt(4) + 3.\nAnswer: 7*sqrt(3) + 6915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -4*r - 33. Let q be u(-9). Suppose -3*y = q*y - 510. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 289, 1208, 2739, 4888, 7661, 11064, 15103, 19784?\nAnswer: 25113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*d**4 - d**3 - 2221*d - 280792 wrt d.\nAnswer: 28*d**3 - 3*d**2 - 2221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6267 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 63*n - 1005 = -2*u, 2*n - 510 = -u. Calculate the remainder when 1506 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64, -81, -98, -115?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*a**2*c*l**3 + 122117*a**2*c*l - 562*a*c + 434*a*l**2 + 2*a + c*l**3 wrt a.\nAnswer: 16*c*l**3 + 244234*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200210111 (base 3) in base 5?\nAnswer: -2032020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15219, 61108, 137681, 244950, 382927?\nAnswer: 551624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(76)*-2 + sqrt(76))**2 + 1 - sqrt(76)).\nAnswer: -462 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3153185 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/(-700)*1130*(-35)\/98*-7.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -2.203013?\nAnswer: -15.421091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -12) + 6\/(-9).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v = 16, -5*k - 3*v + 477 = 0. Let q = k - 52. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -422346 to the nearest ten thousand.\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 29*h**3 - 6*h - 2. Let q(i) = -87*i**3 + 17*i + 7. Suppose 3*a = 14*a - 66. Let p(o) = a*q(o) + 17*r(o). What is the derivative of p(n) wrt n?\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*m + 4*q + 17 = 33*m, -24 = -4*m - 2*q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u - 9. Let m be i(-6). Let w = -17\/18 - 5\/9. What is the nearest to m in -2, 0.3, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 758*b + 7 - 883*b + 8 - 2*b.\nAnswer: -1643*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5 - 5 + 1)*(2*v + 0*v + 6*v) + 9*v - 18 + 18)*(5*v**2 - v**2 - 6*v**2) in the form d*v**2 + q*v**3 + p*v + k and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-13\/4))**(-2))**3 assuming m is positive.\nAnswer: m**(39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.4 and -22189786.\nAnswer: -22189787.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 7:26 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1744)\/(-1090) + (-266)\/160)\/(1 + 8\/(-7)).\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -0.206 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6656 and -150.\nAnswer: 998400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-284)\/(-710))\/((-3)\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -308*g = -277*g - 186. What is the greatest common factor of g and 1731?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 233201895?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((1 + sqrt(539) + 4 - (1*sqrt(539) + sqrt(539) + -5))**2 - ((3*sqrt(99) - sqrt(99))*5 + sqrt(99))\/(sqrt(81)*1 + sqrt(81))).\nAnswer: -851*sqrt(11)\/6 + 640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from iiiviiiiivivviiiii.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93996 and 504?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 1. Let h(r) = 5*r + 3. What is 4*h(a) + 18*l(a)?\nAnswer: 2*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2*(-5*(sqrt(1377) + 2) + -1 + 0 + sqrt(1377)))**2*3.\nAnswer: 9936*sqrt(17) + 265971","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1657558 to the power of 1\/2, to the nearest integer?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*z + 83*z = -122*z + 4000 for z.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 + 9. Let n be u(-8). Let r = n - 12. Sort -2, 1, r, 5.\nAnswer: r, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 19, 4, 1.\nAnswer: 1, 4, 7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*y - 13*y**2 - 10*y**2 + 34*y**2 - 10*y**2.\nAnswer: y**2 - 61*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 61. Suppose -16 = 3*j + j. Let w be (j - 66\/x)*40. Solve 7*h + w = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - -2*sqrt(132) - sqrt(132))*4)\/sqrt(3))\/(sqrt(4) - sqrt(48)\/sqrt(3) - (sqrt(12)\/sqrt(3)*6 - sqrt(4))).\nAnswer: -4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353 = -88*r + 201*r + 882 + 573 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3 - 545\/168 - (5 - 7). Which is the third smallest value? (a) 0.2 (b) v (c) 1 (d) -2\/3 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255 - -3*4\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 165*i - 156*i + 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from deyweegeg.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -17. Let f be 1\/u*-1*0. Suppose f*p + 91 = p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2373 bigger than -4742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -437594368*n**3 + 1986*n**2 - 48370 wrt n.\nAnswer: -2625566208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.07 - 0.06. Let m = 0.39 + a. Put m, -4, 0.2 in decreasing order.\nAnswer: m, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 257378\/87 and 2959 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/23, 0.5, 2\/9 in decreasing order.\nAnswer: 0.5, 0.4, 2\/9, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 - ((10 - -8) + -84 - 19)\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 166*x + 36. Let c be z(9). Let r = c - 16849\/11. Which is bigger: -3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5553, -10841, -16129?\n\"Answer: -5288*i - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -669564305*q**2*t**2 + 4*q*t**2 + 758*q*t - 1553*q + 2 wrt q?\nAnswer: -1339128610*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 + g**4 - 3*g**4 + (-5*g + 3*g + g)*(-3*g**2 + 3*g**3 + 3*g**2) - 3*g**4 - 2 + 2 + (g**2 - 4*g**2 + g**2)*(5*g**2 + 0*g**2 - 3*g**2).\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1fb2e (base 16) to base 2.\nAnswer: 11111101100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 - -3623733.005341?\nAnswer: 3623979.005341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4548 - -4548.13708. Let w = -0.1677 + h. What is w rounded to 3 decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*p + 6*p - 38 - 27 - 4*p**2 + 65.\nAnswer: -4*p**2 + 269*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18825, 18666, 18515, 18372?\n\"Answer: 4*m**2 - 171*m + 18992","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 8*u + 3. Determine k(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 19364*l + 4273753 - 4273753 as s + u*l and give u.\nAnswer: 19364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7115763133 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6 and 15\/(-45) + (-4)\/(-30) - 57795\/(-283100).\nAnswer: 33972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23.2 or -2\/6505?\nAnswer: -23.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2, v: 2, c: 1, l: 1}. What is prob of picking 2 v and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1 + -0.1. Let y = -8 + 5. Let x be (-1)\/3 + (-4)\/24. Which is the nearest to q? (a) x (b) -1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 5) to base 8.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, 8, 47, 102, 173, 260, 363?\n\"Answer: 8*w**2 - w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 450.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**2 - 5892*b + 11557296.\nAnswer: -4*(b - 1116)*(b + 2589)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 8503 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 2\/7, -10, -24, 0.5, 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -10. Suppose 0 = -0*v + u*v. Let w be 6 + (-1 + 4 - v). What is the greatest common divisor of 9 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 6 = -12. Suppose 0 = -15*s + 14*s - v. Which is smaller: s or 2\/141?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -3*m. Let g(w) = 6*w + 8. Suppose 5 = -x - 3*i, -1 = 5*x + 2*i - 2. Let p(q) = -q - 1. Let o(c) = x*g(c) + 8*p(c). Calculate o(a(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) -2 (c) -1\/9 (d) -248 (e) 4\/133 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 163895041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -209 + 27. Let u = 186 + m. What is the closest to u in -2\/11, -0.3, -0.2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, -66, -58, -4, 5 in ascending order.\nAnswer: -66, -58, -4, 5, 178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/5 + 237*s\/5 + 48.\nAnswer: -3*(s - 80)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8975 divided by 3.\nAnswer: 8975\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:31 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 74, 69, 62, 53?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 2, f: 2}. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-1\/12)*s*s*s)\/s**(6\/7)*(s**(-2))**(-44) assuming s is positive.\nAnswer: s**(7649\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*y - 3*n, 3*y = -5*n - 0*n + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 94168 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4941, 19752, 44431, 78972, 123369, 177616, 241707, 315636?\nAnswer: 399397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2679005*r - 3097938.\nAnswer: 2679005","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -265*z - 245 + 775 = 0. Factor 5\/2*f + 5\/6*f**z - 25\/3.\nAnswer: 5*(f - 2)*(f + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in six fifths of a hour?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/125337 and 21\/1801592?\nAnswer: 221595816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -391, 3 in ascending order.\nAnswer: -391, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxxxbxxfhxhhf. What is prob of picking 1 b and 1 f?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 119*m + 7982 = -70 for m.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t + 21922894283*t**2 - 21922893858*t**2 - t.\nAnswer: 425*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8376277607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 135970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 690\/(-126)) + (-4)\/(-6)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1243)\/226 - (-3 - (-486)\/(-156)).\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -255, -558, -979?\n\"Answer: -59*y**2 - 8*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -14885 less than -297673\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 592728080500645 + 2?\nAnswer: 592728080500647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29, 8, -33, -100, -199, -336?\n\"Answer: -a**3 - 4*a**2 - 2*a + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, l: 1, y: 2, h: 1, q: 1}. Give prob of picking 2 k and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 89833?\nAnswer: -89831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13960760 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647209?\nAnswer: 47, 101, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60.094 - -60. Let o = -0.004 - m. Let c = o - -0.41. Are c and -5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and 483.207?\nAnswer: -2271.0729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 435*n**2 - 221*n**2 - 214*n**2.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8537997?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -739*i + 28*i = 44250 + 1254 for i.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {k: 3, x: 9}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -7*r**3 - r**2 + r + 2. Calculate the remainder when d(-1) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2662*n**4 + 4006*n**2?\nAnswer: -63888*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 19. Solve -4 - b = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 168*w + 6891. Let k(z) = -6*z**2 + 841*z + 34456. Let d(n) = 11*c(n) - 2*k(n). Factor d(f).\nAnswer: (f + 83)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 6:45 PM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38715 is divided by 162.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63810111?\nAnswer: 3, 21270037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 942*h + 3591 = -177. Let v(u) = -3*u**3 + 2*u**2 + 9*u + 1. Let w(k) = 4*k**3 - k**2 - 10*k. Let x(d) = 5*v(d) + 4*w(d). Determine x(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + a + 33. Let f(o) = o**3 + 12*o**2 + 9*o - 14. Calculate the least common multiple of 7 and f(a).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3931 a factor of 431246424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -3)*-2 + 6 + -5. What is the third derivative of 8*z**2 + 0*z**3 - 8*z + 41*z**3 - p*z**2 - 2*z**3 wrt z?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*c + 2 - 2 + 13*c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 1:17 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 130\/750*14430\/(-18759)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 424*b**3 + 5*b**2 + 6*b + 20. Let w(c) = -213*c**3 - 2*c**2 - 3*c - 8. Calculate -2*s(u) - 5*w(u).\nAnswer: 217*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 30*d**3 - 16*d**2 + 28*d + 109. Is l(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2 + 1965*o - 9875 with respect to o.\nAnswer: 2*o + 1965","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -185\/4 + 46. Let v = 2.38 + 0.12. Let m = v + -2.4. Sort c, m, -4\/3.\nAnswer: -4\/3, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426355 = -53*k - 182073 + 304374. What is the thousands digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1312*k - 2365 = -1317*k. What are the prime factors of k?\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115871508.03098058 - -115871506. Let g = 2.031 + v. What is g rounded to 6 decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1125 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -1 - (1 - (-1 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-5)*t)\/(((t**(8\/7)*t)\/t)\/t))**35 assuming t is positive.\nAnswer: t**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 7*l. Let n(d) = 59*d + 6. Let r(v) = -2*v + 1. Let m(b) = -n(b) + 6*r(b). What is m(c(j))?\nAnswer: -497*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-17966)\/(-286) + 11\/605*10\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 2*d - 4*d)*(1 - 1 - 2)*(57*d + 95*d - 7*d)*(2*d**2 + 3*d**2 - 3*d**2) to c*d + i*d**2 + l*d**4 + y + v*d**3 and give l.\nAnswer: 1740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5276351.\nAnswer: 5276351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 17*4861\nAnswer: 82637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*l**5 + 2562657*l**2 + 8229602*l + 1?\nAnswer: 100*l**3 + 5125314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1524869 + 4?\nAnswer: -1524865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3.72980505546 from -97.\nAnswer: -100.72980505546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 27*t - 1341301 + 1342408 for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/20737 or 1?\nAnswer: 12\/20737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (22 + 0) - -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2 of a decade in years?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -24, -3, 36, 99?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-2)*4)\/((-132)\/(-198))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16560220 + 16560216.0000004. Let j = 4 + v. What is j rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500845.\nAnswer: 5, 100169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: e285 (base 16) to base 14\nAnswer: 171c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/3)\/(4\/8). What is the tens digit of (-585)\/18*f\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 249 = 2*n + 3*n, -y + 5*n + 56 = 0. Calculate the common denominator of (-1)\/(-2) + y\/20 and 97\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -2*i**3 - 8*i**2 + 6*i + 3. Give p(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 - 0.02. Let q = -8.1 - -8. Sort q, -2\/7, o.\nAnswer: -2\/7, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1200, 2385, 3572, 4761, 5952, 7145, 8340?\nAnswer: 9537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/20661 - 20671\/103305. What is the smallest value in 5, 1\/4, 1\/11, -6, j?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -809 - -506. Let c = -264 - l. What is the highest common factor of 52 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 99099*l**3 - 5*l + 7. Is f(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 9:17 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*r - 1390220 + 293878 = 0. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of 0*z + 0*z**3 - 3\/28*z**4 - 3 + 3\/14*z**2. Factor d(q).\nAnswer: -3*q*(q - 1)*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4262 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.3. Let u = -15 + 10. Which is the third smallest value? (a) u (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 5)*(-2*h + 3 - 3) + 3*h + 2*h - h + 3*h - 2*h + 0*h + (-1 + 3 - 1)*(1 - 1 + 2*h) to the form f + u*h and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2881*t - 4026*t + 24827 + 66773 for t.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.45 + -30.45. Sort x, -1\/2, 1 in ascending order.\nAnswer: x, -1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4622*c + 9172. Determine t(-2).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/9 - (-3)\/(-9). Suppose g - 20 = -5*o, b*g - 16 = -4*o - 2*g. What is h in 5*h**4 + h**4 - 2*h**3 - 144*h + o + 146*h - 10*h**2 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1073389*a**4 - 709*a**2 - a + 484 wrt a.\nAnswer: -25761336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 403 - 322 = 179 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 591*q**2 + 2 + 1 + 1186*q**2 - 1018*q + q**3 - 592*q**2 in the form z + l*q**2 + p*q**3 + g*q and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 17*i**2 + 14*i - 45. What is the hundreds digit of h(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/7)\/(a**5\/a)*a*a**(-2)*a**(-7))**(-3\/26) assuming a is positive.\nAnswer: a**(129\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6858\/11 - 20552\/33. Do -5181 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 10 - 4*u - 5)*(u**4 - u**2 + u**2) + (-3 + 3 - 2)*(-2*u**5 + 0*u**5 + 0*u**5).\nAnswer: 2*u**5 + 5*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.9987735 - 0.824.\nAnswer: -14.8227735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1266, -1264, -1262, -1260, -1258?\n\"Answer: 2*c - 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -u**4\/24 - u**2. Let z(l) = -l - 10. Let q(w) = -2*c(w) + z(w). Give q(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 251 = 3*j, y = 2*y + 3*j + 61. Which is smaller: y or -51?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + ((sqrt(7) - (-3 + sqrt(7))*2) + sqrt(7))**2 - -4*sqrt(252)) + sqrt(63) + -3 + (sqrt(28)\/sqrt(4)*6)**2.\nAnswer: 28*sqrt(7) + 285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436683 is divided by 2426.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14060789669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236)\/177 + 6*1751\/(-153)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x**3 + 10*x + 12. Let n(q) = -q**3 + q**2 - 1. Let f(s) = -a(s) - 5*n(s). Is f(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/9)*i*i)\/(i**0*i) assuming i is positive.\nAnswer: i**(16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 1632*t - 1. Let j(f) = -45754*f. What is j(b(a))?\nAnswer: -74670528*a + 45754","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111101010101001 (base 2) in base 10?\nAnswer: -228009","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 221, 224, 227, 230, 233, 236?\n\"Answer: 3*f + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9708152 to the nearest integer?\nAnswer: 3116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 253 (b) -0.049 (c) 10.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.23779 (b) -1\/3 (c) 3 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 <= 165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z - 10. Let n be k(-5). Suppose -c = -4*c + 5*u + 145, -3*c + 155 = n*u. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.05 - 0.05. Let k = 4 - z. Let j = 0.2 - k. Is j at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8.8165 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 9:21 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 - t - 1. Let g(k) be the first derivative of 5*k**3\/3 + 7*k**2\/2 - k - 2. Let w(l) = 4*b(l) + g(l). Suppose 0 = 3*o + 13 + 2. What is w(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -147 and -148 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10.6 times -390556\nAnswer: -4139893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -2 - 8. Suppose 4*i + 21 = w*i. Let v be i\/(-189) + (-3)\/((-27)\/(-2)). Which is the nearest to v? (a) 3 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*u, 3*l + 2*u = 5*u + 33. What is the first derivative of -l + 16*o**3 - 35 - 10 + 2 wrt o?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4\/7 + 5816*c**3\/7 - 2556724*c**2\/7 + 50748288*c - 50383872 = 0?\nAnswer: 1, 336, 781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, 0, 2, 440, -274, -4, 4 in decreasing order.\nAnswer: 440, 55, 4, 2, 0, -4, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28.624 + -28.224. What is the nearest to o in -0.4, -7, -2\/107?\nAnswer: -2\/107","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*z = 65, 4*j + 4*z - 69 + 17 = 0. Suppose j*s = -6*s + 21223. 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 the common denominator of -151\/451248 and -59\/18?\nAnswer: 1353744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -14*o**5\/9 + 788*o**4\/9 - 1400*o**3 + 41392*o**2\/9 - 10816*o\/9 = 0?\nAnswer: 0, 2\/7, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 121.5364 to 0 decimal places.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 828 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r + 4*o = 24*r + 18, -5*r + 5*o = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19169 rounded to the nearest one hundred?\nAnswer: 19200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-15) + 18\/5. Let d = j - 0. Is 146\/d - (-1)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/180980 and 29\/820.\nAnswer: 7420180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 3*l**2\/5 + 885102*l\/5 + 65283795867\/5 = 0.\nAnswer: -147517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4981 is divided by 830.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**(-41)*(n**(-1))**(-3\/13) assuming n is positive.\nAnswer: n**(542\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -3\/2*y**2 - 7\/6*y**3 - 2*y + 0 + 1\/6*y**4. Is i(6) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 + 72. Let i = -87 - -91. Calculate the highest common factor of i and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**5 - 24*q**4 + 4*q**3 + 24*q**2 = 0.\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1875667\/10 less than 187566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -125*g. Let y(s) = 213*s - 7. Calculate y(q(l)).\nAnswer: -26625*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1265 is divided by 9\/(-4)*(-11264)\/528?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from wwgggpgpg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2046 by 1023.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 532480 and 1300.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -44*x + 88 + 27 + 49 - 4*x**2 + 5*x**2 - 4 = 0.\nAnswer: 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t + 26*t - 3 - 5*t + 2*t + 4 - 4 + 2*t - 2*t + 2*t + (-t - 3*t + 3*t)*(0 + 5 - 4).\nAnswer: 27*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 15. Let r be v(6). Sort -41, r, 2 in decreasing order.\nAnswer: r, 2, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 233370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-556*k + 559*k + 8244*k)*(2*k**4 - 4*k**3 + 4*k**3 + 3*k**3).\nAnswer: 16494*k**5 + 24741*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1414.\nAnswer: 2, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023115619 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-92 - -133) + -40 - (50 + -3).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**3 + 0*k**2 + 22*k**2 + 16*k**2.\nAnswer: -2*k**3 + 38*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 + 6373*l + 38234\/3.\nAnswer: (l + 2)*(l + 19117)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 19*q**2 - 2*q. Let h(s) be the third derivative of -s**4\/3 + 225*s**2. Give h(a(y)).\nAnswer: -152*y**2 + 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2610, -2, 2\/169?\nAnswer: 2\/169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.3429 nanometers to kilometers.\nAnswer: 0.0000000000073429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 184507300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -12, 10, 5, -3.\nAnswer: -18, -12, -3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -826 = 14*z - 3934. What is the remainder when z is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75556, 151192, 226816, 302422, 378004, 453556, 529072, 604546?\nAnswer: 679972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740597.\nAnswer: 11, 13, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -42*j + 9 - 14*j - 70*j + 29*j - 34*j. List the prime factors of m(-12).\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l + 6. Let q be (l\/(-21))\/((-12)\/(-168)). Solve -q*f + 8 = -x, -2*x = -5*f + 7 + 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 h when four letters picked without replacement from {h: 6, e: 3, q: 4, p: 1, z: 3, r: 2}.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 11, g: 5}. What is prob of picking 2 s?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2 + 25*u - 9. Is b(10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-14 - -14)) + (-4824)\/468.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395757941?\nAnswer: 23, 17206867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -162, 0.3 in decreasing order.\nAnswer: 0.3, -1\/6, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ycvqyc. What is prob of picking 1 c and 1 v?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -10166\/5 greater than or equal to -2032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 2*h + 2. Let w be v(2). Let k be (-38399998)\/(-4) - 1\/w. Suppose -2*n - k = n + 2*b, 0 = -3*b. Round n to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7412 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9)\/6*110\/(-15). Let h = -10 + r. Let i be 0\/(4\/(-4) + 3). Solve k + i = -h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-1 - -2) - (-17 - -29)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3231*y + 16. Let v(i) = 1043611*i + 5176. Determine -1294*u(m) + 4*v(m).\nAnswer: -6470*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 15407707?\nAnswer: -15407703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13099.\nAnswer: 13099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a millennium in centuries?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*w**3 - 26*m**3*w**2 - 1599*m**3*w + 7*m**2*w**3 + m**2*w**2 + 275*m**2*w + 2*w**3 + 2*w**2 wrt m.\nAnswer: 12*w**3 - 156*w**2 - 9594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56503013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -775*149\/9238*(-4)\/(1*2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 + -56. Solve 1 = 4*p + i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -56*k**2 + 4 - 7 + 484*k**2 to the form s*k**2 + z + c*k and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) + (-528)\/(-30). Let c be 42\/f*(-6)\/105. What is the smallest value in -2, c, 2\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 9*v**4 - 303*v**3 - 110*v**2 + 268*v + 136 = 0?\nAnswer: -2\/3, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 365193 in descending order.\nAnswer: 365193, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*d - 2 - 69 = 0, 0 = 2*y + d - 23. Let v = 28 - y. Suppose -14 = -3*w - 2*b, 3*w + 4*b - v = 4*w. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s - 9 = 0. Let n be 0\/2 + 6 + s. Suppose 5*b - 4*k = 63, 31 = n*b - k + 2*k. What is the smallest common multiple of b and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -210, -497, -906, -1437, -2090?\n\"Answer: -61*s**2 + 18*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573.3 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 4:49 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 7*i**3\/6 - 11*i**2\/2 + 3*i - 39. Let q(b) = -11*b + 17. What is -5*q(a) - 8*t(a)?\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-16))\/(-18 - 3621\/(-136))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b3 (base 15) in base 2?\nAnswer: 10000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewjqqxqqq. Give prob of sequence je.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 4. Let k = 287 + -64. Let s = k - 219. Sort -5, r, s in increasing order.\nAnswer: -5, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*o**3 - 2*o**3 + 6*o**3)*(4989 + 2657 + 670) as d*o + g*o**3 + r*o**2 + j and give g.\nAnswer: 8316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 41*c + 1395. What is b(15)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 29*z**2 - 804*z + 535. What is n(27)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 32*a - 1143. Give n(36).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brb when three letters picked without replacement from {b: 3, r: 4, l: 9}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463860 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7318 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -29*p**5\/5 + 3*p**2\/2 - 38*p - 783. Find the first derivative of m(i) wrt i.\nAnswer: -116*i**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/14108417 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 11844048?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 4. Let z be -2 + (u + -24)\/(-3). What are the prime factors of z + -2*3\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 5 + -8 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13.6 (b) 0.1 (c) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 76, 133, 228, 373, 580?\nAnswer: 861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 163 = 4*q, -14*o - 61 = -15*o - 2*q. Suppose -47*f - 2580 = -o*f. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 - 9 = 0. Let c(j) = -1 - 3*j - 7*j**3 + 5*j - 2*j. Let w be c(-1). Which is bigger: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5260014370\/29057 - -181024. Is 0 smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -141*f**3 - 45*f**2 - 53*f - 7. Calculate the remainder when t(-1) is divided by 88.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -5*m - 35, 36 = 2*h + 3*m. Suppose 5*v - 34 = 2*z + 46, -3*z = -h. Which is greater: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 5, f: 3, r: 4, e: 1}. Give prob of picking 1 r, 2 y, and 1 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c + 1. Let s be u(3). Is (74\/s)\/((-5)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g - 12. Let b(l) = 182 + 176 - 715 + 178 + 180. What is 12*b(a) + t(a)?\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-2\/9)*j)\/j)\/j**(-6\/5))\/((j**(-5)*j)\/j*(j*j\/(j**(-6)\/j*j)*j)\/j) assuming j is positive.\nAnswer: j**(-91\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.022 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 28180 = -4*m, -2*t = -m + 4*m - 14087. Is 34 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -2) + -3 + (19 - 22) + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -36, -2\/9.\nAnswer: -36, -2\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -603*c + 577*c = -520. Solve 16*h - 15*h - o = -7, -5*o = -c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84160951 and 71848.\nAnswer: 8981","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 2:17 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 219003233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24924034?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320*t + 6618 - 19414 = 594*t for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 9*k**2 + 13*k + 9. Let v be r(-1). Suppose 3*y = 37 - 7. Solve -3*d - y - v = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) -0.4 (c) -17\/2 (d) 0 (e) 12862\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or 2\/13?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -62, -132, -250, -416, -630, -892?\n\"Answer: -24*b**2 + 2*b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519037 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 423324 (base 6) to base 5\nAnswer: 2100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1333713 and -0.64?\nAnswer: 853576.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2490 = 542*w - 7889 - 3713 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-1 + (-7 - -3))) + 0 + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 792129?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1137 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 1, a: 2, n: 3}. Give prob of picking 2 a, 1 h, and 1 n.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -1\/18*b**4 - 1\/45*b**6 + 1\/15*b**5 + 0*b**3 - 4*b + 0 + 0*b**2. Factor m(o).\nAnswer: -2*o**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-9)\/o*o\/o**(-2\/13))\/((o\/(o**(-2\/9)*o*o))\/o*o)**(-3\/22) assuming o is positive.\nAnswer: o**(-7681\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08451874 to three decimal places.\nAnswer: 0.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 768 and 1728?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 - 2*h + 2. Let g be z(0). Suppose -4*i - 4*s = -264, -3*i + 6*i + g*s = 193. Let c = 100 - i. Does 12 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 5. Put 1, w, -6 in increasing order.\nAnswer: -6, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 0*s**3 + 0*s**2 + 0*s - 3\/2*s**4 + 0 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.075 * 0.1.\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -30910 - -232?\nAnswer: -30678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2. Let o(u) be the first derivative of 6*u**2 - 5. Calculate o(c(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3010 - -18131\/6. Find the common denominator of -81\/2 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/3, -488 in ascending order.\nAnswer: -488, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, v: 1, l: 3}. What is prob of sequence wwvl?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1173416 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1591296 and 45066?\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 5*h = 34 + 156, 3*v + 4*h = -115. Let s = -40 - v. Let c be ((-1)\/s)\/((-20)\/(-240)). Solve 21 = -5*z - 2*l, -3*l + c*l - 17 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*v = -822. Let r = v + 137. Sort 0.03, 0.3, r.\nAnswer: r, 0.03, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -2) + -365 + 264 + 9 + 1?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 45*q**4 + 980*q**3 + 545*q**2 - 34370*q + 7600 = 0.\nAnswer: -19, -8, 2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -28.09.\nAnswer: -28.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -759396006 less than -759396005?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 341 + 335 = 0, 0*m + 2*m - 10 = 3*o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2997707.7 months in decades?\nAnswer: 24980.8975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 29*s - 10*s - 37*s wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-480)\/(-1232))\/((5 - 11)*1\/44)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (((-69)\/(-90))\/(2\/(-25)) - -5). Let g(o) be the second derivative of 0 + n*o**4 + 1\/20*o**5 - 1\/6*o**3 - 4*o**2 - 2*o. Determine g(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253304 (base 6) to base 10\nAnswer: 22792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 30, 1 in increasing order.\nAnswer: -5, -2, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12977184 and 2288.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5212, 15131, 29760, 49099?\nAnswer: 73148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/63 of a week?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3963720458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/4*(6\/(-6) - -9). Factor -528*j - 2*j**4 + 0*j**t - 332*j**2 + 3291*j**3 - 242 - 3339*j**3.\nAnswer: -2*(j + 1)**2*(j + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 2:44 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*2*1)\/(4*(sqrt(10) - (sqrt(10) - 3*sqrt(10)))).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 976176 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -376 - -121. Suppose -o + 1 = 0, 0*o = -5*k + 3*o + 7. What is the common denominator of k\/3*g\/40 and 67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 33, 116, 243, 420, 653, 948, 1311?\nAnswer: 1748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(45) - (1 + sqrt(405) - sqrt(5)).\nAnswer: -1 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 909\/130 - -21\/26. Suppose 33\/5*z + g*z**3 + 57\/5*z**2 + 9\/5*z**4 + 6\/5 = 0. Calculate z.\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69944978 - -0.04.\nAnswer: 69944978.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20918*w**2 - 43223*w**2 + 22317*w**2.\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 26*w - 8*w**2 - 26 + 36*w**2 - 69*w**2 + 15*w + 3*w**3. Let h(q) = 2*q**3 - 27*q**2 + 27*q - 18. Let x(z) = -7*h(z) + 5*y(z). Give x(15).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0402 * 13169.\nAnswer: -529.3938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 3. Let m be r(-7). Let w(f) be the second derivative of 1\/4*f**m - 1\/2*f**2 + 0 + 0*f**3 + 2*f. What is the derivative of w(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*b - 9768 = -575*b - 340*b. Let d be (3 - 2 - -3) + 0. Put -5, d, b, 0 in descending order.\nAnswer: b, d, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21.309999099 + 21.31. Round h to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*z + 5. Let v be (13 - 11)\/((2\/(-5))\/1). Let b = 62 + -60. Sort z, v, 5, b.\nAnswer: v, z, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-9))\/((-3)\/(-12)). What is the second biggest value in -2.84, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 8*n - 1. Let t(m) = -24*m + 4. What is -8*r(x) - 3*t(x)?\nAnswer: 8*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(-6*(sqrt(1700) - sqrt(1700)*-1) - (1 + 2*sqrt(1700)))*2*6)**2.\nAnswer: 1451520*sqrt(17) + 1727313984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s - 1. Suppose p = -p + 6. Suppose -4*x - 8 = 4*b, -p*x + 27 = -4*b - 9. Let h be 2*b\/(-12)*-1. Let g(q) = -4. Determine h*g(f) + 3*j(f).\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3 + 0*f**2 - 5 + 8*f**2 + 5. Suppose 0*m - 12 = 4*a - m, 5*m = -2*a - 6. Let g be i(a). Calculate the greatest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 6, n: 3, i: 3, v: 4, x: 1}. Give prob of sequence xqr.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13040.\nAnswer: 2, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8466.\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 16. Let r be 4 + 2\/2*-2. Is (v\/r)\/(3\/6) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (3 + sqrt(13) + sqrt(208)*4 + sqrt(637) + 0 - (0 + sqrt(1300)*-1 + 4))**2.\nAnswer: -68*sqrt(13) + 15025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -395\/8 at least as big as 343?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wvwwvvvwwvvwvvwvwwvv. Give prob of sequence vww.\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-9 + 4 + 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/5 (b) -3\/610 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.382 and -0.2?\nAnswer: 0.0764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z - 6*z + 31*z.\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(-2)*f*f**(-2\/19)*(f\/(f**(-1\/3)\/f)*f)**24)**(3\/2) assuming f is positive.\nAnswer: f**(4611\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*w + 4113348 = 172808. What is w rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 8*i + 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2141320 + -3253?\nAnswer: -2145013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 109 (base 11) to base 14\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -24001.\nAnswer: -12000.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/1179897 and -79\/300?\nAnswer: 117989700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 307 - 51 = 4*l + 3*h, h + 71 = l. List the prime factors of l.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -19059317049.\nAnswer: -19059317049.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855*q - 125136 = 852*q - 3*v, 208623 = 5*q - 4*v. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 + -30. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*o = -8, -1073855*o + 1073860*o = -11*q - 39 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/4 + 4668*6275\/1200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20458513 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63782 is divided by 9216.\nAnswer: 8486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 14 = 2. Let o(m) = -3*m - 7. Let l be o(x). Solve -4*w + w + 5 = 2*q, l*w + 4*q - 9 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62692 + 62694. Factor 0*j - 1\/4*j**3 + j**b + 0.\nAnswer: -j**2*(j - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*n - 30*n + 86*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 8290.\nAnswer: 8290.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 6332 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.9 + 4.2. Let h = -8026 + 8022. Is h smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7.9, -11, 2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 49670000 to the nearest one hundred thousand.\nAnswer: 49700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 9*y + 1170508 = 0, 2*f + 1755867 = 5*f + 4*y. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 2*u + 2*u)*(6 - 1 + 1) - 4*u - 3*u + 2*u as l + y*u and give y.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4 + (4 - 2) + 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102\/35 + -92\/35. What is the fourth smallest value in 4\/7, -2, p, -20?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 11:24 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18227740 - -2989.83\nAnswer: 18230729.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + ((-34486)\/26070 - 1). Let t = x - -11\/2370. Find the common denominator of -85\/2 and t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 78\/972445?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2 - 9*l + 10. Let h(r) = 4*r**2 - 9*r + 11. Let m(t) = 3*b(t) - 4*h(t). Let w be m(7). Solve -4*n + 5*z = -21, n + 3*n - 2*z - 6 = w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -335\/6 - -52. Find the common denominator of f and 18\/(-8)*(902\/15)\/11.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 2*o = 0. Let l(m) = m**3 + 5*m**2 - 2*m + 5. Let q be l(-5). Solve 2*i + 3*i - q = o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8952, -17903, -26864, -35841, -44840?\nAnswer: -53867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/6 + 2\/(-6). Let c = 16 - 30. Let m = 14 + c. Put m, v, 3 in descending order.\nAnswer: v, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 6, f: 8, a: 3}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2341*p - 9175. Give n(-5).\nAnswer: 2530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4110?\nAnswer: 2, 3, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63, 69, 77, 87?\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 234 = 6*w + t, 5*w - 1167 = 4*t. Suppose -5*z + 6*z - w = 0. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12228*f**2 + 11*f - 12481. Let j(z) = -4076*z**2 - 4*z + 4171. Let l(t) = -11*j(t) - 4*x(t). What is the first derivative of l(y) wrt y?\nAnswer: -8152*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 5 = -5*u. Suppose 3*s - 19*s + 80 = u. Solve -5*p - 25 = 2*q, -5*p + s*q + 2 = -8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37048 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -153 (b) -1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*q + 700, 6*t - 5*q - 686 = 2*t. Suppose -16*z + t = -13*z. Calculate the remainder when z is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 4 = 0, -5*p - 12 = 8*d - 6*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 14. Let v(y) be the third derivative of -5\/24*y**4 + 0*y + 1\/120*y**6 - 1\/12*y**5 - 25*y**2 + 0 - 1\/3*y**3. Determine v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*o**5 + 2362*o**4 - 2*o**2 + 201142*o wrt o.\nAnswer: -280*o**3 + 28344*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55638 by -99.\nAnswer: -562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283609165.\nAnswer: 5, 7, 59, 137341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 1, g: 2}. What is prob of sequence gg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {g: 4, j: 6}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1879696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(-5*sqrt(288) + sqrt(288) + sqrt(288) - sqrt(288))*2.\nAnswer: -sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 288380594471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26572*z**2 + 26573*z**2 - 79727*z**2 + 26575*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u - 2 - 22 = 0, -n - 5*u - 11 = 0. Suppose n*t + 7 = 27. Suppose 10 = -0*c + 5*c. What is the remainder when t is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.93985 to one decimal place.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34910 and 6.\nAnswer: 104730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q + 0*q - 1649*q**2 + 4009*q**6 + 4400*q**6 - 11773*q**6 + 4847*q**6 wrt q?\nAnswer: 177960*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-900 + 2684 + 5960)*(-a**4 - 3*a**4 + 9*a**4 + 2 - a**4 - 2 - a**2 - 2*a**4 + a**2 + (4*a**3 - a**3 - 4*a**3)*(-2*a - 2*a + 5*a)) - a**2 + a**4 + a**2.\nAnswer: 7745*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23 + 23)*(-16)\/(-64). Let j(b) be the third derivative of 1\/15*b**5 - 29*b**2 + k*b**3 + 0 - 1\/15*b**7 + 1\/12*b**6 + 0*b + 0*b**4. Solve j(y) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -82\/49 - -640\/441. Let w(x) = 5*x - 10. Let g be w(10). Let m = 362\/9 - g. Sort m, -1, -0.2, v in decreasing order.\nAnswer: m, -0.2, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 4*d)*(-4*d + d + 5*d) + (1 - 2*d + 5*d - 2*d)*(-2*d + d + 0*d) to the form g*d + k + a*d**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) + 42\/(-104). Suppose 0 = -5*a - 40, -3*a + 208 = 2*n + 234. Are d and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1212 times -0.24?\nAnswer: -0.029088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - s + 1. Is q(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 2*g**3 + g**4 + 13*g**2 - 6 - 3 to the form l*g**3 + w*g**4 + m + r*g + o*g**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-146)\/(-365) - 28\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 484472, 968948, 1453424, 1937900?\nAnswer: 2422376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c (base 15) to base 11.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k - 6. Suppose 8*x - 157 = k. Calculate the remainder when 77 is divided by x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*0.0115.\nAnswer: -0.00345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7253 a factor of 280386474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 84*i + 45. Let q(z) = 56*z + 30. Let w(x) = -5*o(x) + 7*q(x). Calculate the least common multiple of 12 and w(-3).\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64112037 or 3\/4?\nAnswer: -64112037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*x - 10*x + 19 - 5*x)*(95*x - 27*x - 17*x) to w + a*x + d*x**2 and give d.\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1029, -0.2, -1\/4 in descending order.\nAnswer: 2\/1029, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -7*q + 19. Let v be p(-4). Let o(y) = 6*y + 51 - 107 + v. Let h be o(4). Solve -2*x = -f + 8, 0 = -4*x - x + 5*f - h for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.5 + 1.4. What is the smallest value in 0.3, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m + 4*m - m)*(-2*m - m + 4*m + (-2 + 1 - 2)*(-m - 7*m + 2*m) + (1 - 3 + 1)*(3*m + m + m)) to q*m**2 + u + f*m and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 5*p - 3*n, 6*p = 4*n - 12 - 20 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -t - 33, -5*t - 5*m - 300 = -3*m. Let d = 57 + t. Which is the nearest to d? (a) -1\/13 (b) 0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 6*f**2 - f - 2*f - 5*f**2 + 3*f**2 + 2. Let q be h(1). Solve 7*a + q = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110110011 (base 2) in base 14?\nAnswer: -1919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -382.6 - -383. Which is the nearest to 6? (a) j (b) 2\/3 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 111 - -1035312?\nAnswer: 1035423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1914.5358 months to decades.\nAnswer: 15.954465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -3*r**2 + 15*r - 9. Let s be i(4). Suppose -15 = -3*a + s. Sort a, 1, -3 in descending order.\nAnswer: a, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144558314 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -35435.4*15\nAnswer: -531531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 89*j**2 - 1385*j + 98. Give g(20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:16 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Suppose -h + 0 = -2. Solve 0 = -4*p - v*x - 6 + 2, -12 = h*p - 4*x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-110))\/(15\/((-90)\/(-12))). Is -1 smaller than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one quarter of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1284 + 7*a**2 + 1284 + 69*a**3)*(1 - 1 - 2*a).\nAnswer: -138*a**4 - 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*i**4 + 14957151*i**3 + 14402191 wrt i?\nAnswer: 8*i**3 + 44871453*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 14b56 - -5?\nAnswer: 14b5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -290, -301, -310, -311, -298, -265, -206?\n\"Answer: w**3 - 5*w**2 - 3*w - 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.062 - -10688020.\nAnswer: 10688019.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151332635.\nAnswer: 5, 30266527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 186*m*t**3*y + 1526*m*t**3 + 1934*m*t*y + 28*m*y**2 - 2*t**2*y**2 + t*y wrt t?\nAnswer: 1116*m*t*y + 9156*m*t - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-5))\/(8*11\/220).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*v = 282, 2*r + 3*v = 7*r - 358. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 0*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 22 - 68 = 0. What is the remainder when 41 is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110 + -111301?\nAnswer: -111131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5656 and 404?\nAnswer: 5656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 plus 4010986260?\nAnswer: 4010987406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 286902, 1147601, 2582096, 4590387, 7172474?\n\"Answer: 286898*p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27342785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-420)\/8)\/(-5))\/(9\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 12*p - 12. Let q be k(-13). Let v be (-1)\/1*(1 + 1). Let w be 1 + v*(-3)\/9. Is w at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssaa when four letters picked without replacement from {s: 10, u: 1, a: 8}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = 2*u + r, 4*r - 20 = -4*u. Let g(a) = -2*a + 12. Let p be g(u). Solve -2*j + p*h = -3*j, -5*j + 19 = h for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 33. Let c be 3\/4*n*(-48)\/(-9). Suppose -5*b = v - c, -3*v + b = -v - 26. Calculate the smallest common multiple of v and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*(-6*(sqrt(13) + -1) - sqrt(13)) + 5)**2.\nAnswer: -1008*sqrt(13) + 10516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -542363 + -2957064. Let w = 3499429.360159 + o. Let s = w - 2.36. Round s to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 + 7*r - 17. Give k(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 8*h**3 + 2*h**2 - 6*h + 7. Let y(b) = -9*b - 5. Let x be y(-1). Is d(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06219550778 rounded to 3 dps?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8377 - 15461 = -822*k for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 28*u**2 - 5*u. Let q(m) = -4*m**2 - 7. Let j(w) = w**2 + 2. Let a(n) = 14*j(n) + 4*q(n). Give h(a(p)).\nAnswer: 112*p**4 + 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/14*212*(6\/2)\/((-1923)\/(-4487))?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1) + (29 - 30). What is the nearest to 1\/6 in c, -0.057, -2\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 96*n**2 + 816*n - 69691. Calculate y(97).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 0*p - 3*m + 6 = 0, -3*p = 2*m + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -2\/7, -2\/11, 0.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-33)\/(-6) - -4)*-2. Let s = 77 + w. 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 ten thousands digit of 50831483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 - -13. Suppose c = -3*l - 3*h + 39, -5*h = 2*l - 7*l + 35. Suppose -2*j + l + 22 = 0. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**3 - 433*k**2 + 433*k**2.\nAnswer: -7*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknkvkvnvnnnnnvn. What is prob of picking 3 v?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -1 - -1) + 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3290 = -5*r, 4*k - 2*k - 656 = r. Let f = r - -722. Calculate the remainder when 175 is divided by f.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from gxcgxcgg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -43681 divided by 11\nAnswer: -3971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(3\/5))**(10\/13)*g**(-3\/7)\/g**(-2\/27) assuming g is positive.\nAnswer: g**(2153\/2457)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 2*g**2 - 55*g + 98. What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s. Let p be b(0). Solve u + 2*d = 4*d, p = -2*u + 5*d + 1 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**3 + 4*b**2 + 7*b. Let k(s) = -2*s**3 - 25*s**2 + 718 + 21*s**2 + 6*s**3 - 719 - 8*s. Calculate 2*k(q) + 3*t(q).\nAnswer: -q**3 + 4*q**2 + 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867236000 a multiple of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l + 3904. Is a(-71) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s - 9. Let c be r(4). Suppose 3*n = 4*n + 23. Let i = c + n. Sort -2, 2, i in increasing order.\nAnswer: i, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 8*s**2 - 10*s - 3. Determine r(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 7:34 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-81 - -40) + 34 + (0 - 8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -171*k**4 - 21*k**3*l - 16022*l wrt k?\nAnswer: -684*k**3 - 63*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j**2 - 322*j - 2327. What is n(42)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*m = -38*m + 45 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t**3 - 37*t**3 + 18*t**3 + 53*t**3.\nAnswer: 87*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 7. Suppose 3*t - s = -2*t + 15, y*t - 3*s - 9 = 0. Let m = -0.2205 + -0.1795. Which is the smallest value? (a) t (b) m (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 5, 35324, -4\/3, 0.2, -0.5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145747\/55 - 2650. Which is the third biggest value? (a) 3 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -3. Solve -3*n - 6 = 5*v - 4, -10 = 5*v + y*n for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8685*u - 121890 = 75449 + 171317 + 343514 for u.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 34*j + 600 - 810 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75\/7 - 389\/35. Which is the closest to 1? (a) h (b) 2\/3 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-33)\/55 - 0). Which is the third smallest value? (a) -25 (b) 1 (c) -4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5535 + -16603\/3. Let t(v) be the second derivative of 1\/2*v**2 + 0 - h*v**3 + 2*v. Give t(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*j + 1610 + 560 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from bbcbyryryjjycccj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 3*c - 3*q + 9 = 0, 4*c - 4*q = -4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 7:26 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.589843 rounded to four decimal places?\nAnswer: 0.5898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3708, 7262, 10816, 14370?\nAnswer: 17924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, d: 4, m: 2, z: 2}. Give prob of sequence zmzu.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e2e (base 15) to base 3.\nAnswer: -200021022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12850732981 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 3962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + 7*z**2 + 70*z - 6*z**2 - 70*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9 or -0.1858786?\nAnswer: -0.1858786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/1976)\/((-18)\/(-4)*27\/3402*21)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g + 2*g**4 - 23 + 11 - g wrt g.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-8))\/((-3)\/(-12)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -2\/41429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 476241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h + 1379862*h**4 - 34*h**3 - 3*h**2 - 1379863*h**4 - 1 + 4*h**2 to y*h**4 + l + q*h + r*h**3 + c*h**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, i: 2}. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6835.38 rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - 27. Let c = q - -83. Let p = -44.99971 + c. What is p rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 13 = r, 2*p - 3*p = 4*r - 24. Let s be r\/2*-1*2. Does s = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -12. Suppose -a + 5*r = f, -3*r = -3*a + 8 + 4. Suppose -m + a = -4. What is the greatest common divisor of 96 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 9, a: 7, k: 2}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 35?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 427233 (base 12) to base 9\nAnswer: 1868233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, w: 5, o: 3, y: 2, x: 3}. Give prob of sequence xoxw.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 31*r**2 + 240*r. Determine g(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1503555 or 1503553?\nAnswer: 1503555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6*d + 32. List the prime factors of d*(0 + -3 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/2*1\/((-165)\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 - -0.46. Which is the smallest value? (a) 4\/7 (b) -2 (c) t (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 4*k + 5*k + (-4*k - 2*k - 3*k)*(0 + 0 + 1))*(-k + 2*k - 4*k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362944.\nAnswer: 2, 53, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-30) + -1)*2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116659.33 to the nearest ten.\nAnswer: 116660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -31, -43, -45, -31, 5, 69, 167?\nAnswer: 305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 5) in base 8?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22916472 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 1. Let v(r) = -r + 8. Let o(w) = 3*k(w) - v(w). Let t be o(5). Let u be ((-4)\/(-12))\/(1\/t). Let c(s) = -s**3 - 6*s**2 - 7*s - 7. Determine c(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5018390 to the power of 1\/2, to the nearest integer?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101632499 rounded to five dps?\nAnswer: 0.10163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4604472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -99 - -100. Solve 0 = -2*o + n - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278961676 to the nearest integer?\nAnswer: 35763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (1 - -3)*-2. Let x be (4\/g)\/((-1)\/40). Solve 4*u - 4*d = x, -d + 6*d - 3 = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74946 + 3259. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 616835 and 755.\nAnswer: 616835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let d(p) = -55*p - 4. Let q(s) = 3795*s + 275. Let c(r) = -275*d(r) - 4*q(r). What is l(c(t))?\nAnswer: 55*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 40403903.7715 and -2.\nAnswer: 40403901.7715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7*d**2. Let k be 16\/40*5\/(-1) + 14. Let c(o) = 11*o**2 - k*o**2 + 3*o**2 - 4*o**2. What is c(q(g))?\nAnswer: -98*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 1:18 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uq when two letters picked without replacement from {q: 2, u: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.225 times 419987\nAnswer: 94497.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-192)*48\/(-60).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 472200 a multiple of 60?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**2 + 6*g - 17. What is k(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 665\/8 in -5, 0.69, -1\/7, -0.2?\nAnswer: 0.69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2131215.\nAnswer: 3, 5, 47, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6397 + 44803\/7. Find x such that 12\/7*x**4 + 60\/7*x - o - 3\/7*x**3 - 6*x**2 - 3\/7*x**5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3)\/((-4)\/(-5 + 1)). Let s be (1 - l) + 2*(-2 + -2). What are the prime factors of (s + -5)\/(3\/(-22))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - r - 208 + 1518 = 0, -4*r = -w - 243. Let j = -46 - w. What are the prime factors of j?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29.2 + -27. Let u = -2.189 + g. What is u rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/25 and 86\/15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13071595 or -13071596?\nAnswer: -13071595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -26, -58, -100, -152, -214?\n\"Answer: -5*z**2 - 7*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/16))**(-3\/38) assuming i is positive.\nAnswer: i**(-45\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 779?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/6 + (-20)\/(-6). Suppose -i - k = -3. What is the closest to -5 in -2\/5, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 6*l + 5. Let g be 2\/8 + (-207)\/(-36). Let x be p(g). Suppose 0 = -w + x*w - 20. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -50, -14, 80, 262, 562?\n\"Answer: 5*t**3 - t**2 + 4*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 295\/6 + -3847\/78. Let s = -0.1 + -0.1. Sort 4, t, s in descending order.\nAnswer: 4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33047?\nAnswer: 7, 4721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 + 1 - 1)*(-3*k + 0*k + k) - 2437*k + 4895*k - 12*k**3 - 2445*k + (-k + 0*k + 3*k)*(5*k**2 - 3*k**2 - 4*k**2).\nAnswer: -10*k**3 + 13*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l + 0*l**5 + 0*l**2 - 5 - 1\/6*l**6 + 9\/7*l**7 + 23*l**3 + 0*l**4. What is the third derivative of j(r) wrt r?\nAnswer: 1080*r**3 - 60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2128865.4 months in years?\nAnswer: 177405.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**2*x*z + c**2*x - c**2 - 29*c - 4*x*z - 40*z wrt x.\nAnswer: 6*c**2*z + c**2 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -141125*a*w**3*y + 7*a*w**2 + 6*a*w - 3*a*y - 2*a + 3*w*y + 24*w + 9*y wrt w?\nAnswer: -846750*a*w*y + 14*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, 5, -1\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -20\/26621?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/132 in 60, 1.6, -0.1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 112929015 and 3525.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0081 from -61.\nAnswer: -61.0081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c = -8*c - 60 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (0 - -3) - 0. What is the units digit of 16 - ((-1)\/(-1) - a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(187)*3*2)\/(sqrt(33)\/(sqrt(3) + sqrt(18)\/sqrt(6))) - (((2*sqrt(306))\/sqrt(9))\/sqrt(2) - -1*sqrt(68)*-1))**2.\nAnswer: -9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 3 + 2 + -4. Let u = 122 - h. Which is smaller: 118 or u?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(1\/3)\/((-10)\/(-42))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144128 (base 10) to base 13.\nAnswer: -507aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 32*u + 13. Suppose 8 - 36 = 4*i. Let l be (i + 4)*(u - 2). Solve l*p = 1 - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 take away -166054?\nAnswer: 166056.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1584)\/80*-1)\/(9\/(-15))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, u: 2}. Give prob of sequence oo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 666 divided by 6\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(15)*-3)\/(-2*sqrt(15)\/sqrt(3)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/(-30) - 56\/(-16))*2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5*f**2 + 60*f + 100. Let s(i) = -5*i**2 - 59*i - 98. Let k(h) = -4*p(h) - 5*s(h). Factor k(x).\nAnswer: 5*(x + 2)*(x + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 24*x**2 + 28*x + 117. What is the remainder when s(-7) is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 9*s - 29. Calculate the remainder when x(17) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of -w**4\/12 - 4*w**3\/3 + 7*w**2 - 5*w - 18. Let n = 3 + -12. Is 2 a factor of f(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k = -16*k + 674. Suppose -37 + k = 7*p. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -131167214 + -3?\nAnswer: -131167217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 384, -1284, -4054, -7926, -12900, -18976?\nAnswer: -26154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*q**4 + q**2 - 6*q**4 + 24*q**4)*(5*q - 6*q + 2*q + (0 + 0 + q)*(1 + 0 - 3)).\nAnswer: -5*q**5 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -247777 + 62?\nAnswer: -247715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -52.6. Which is the closest to 0? (a) -2 (b) 5 (c) f (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 4)*(-3 + 3 + 2) - 2 + 1 - 2)*((-5 + 2*t + 5)*(1 + 1 - 1) - 3*t + t + t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113131 (base 4) to base 14.\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*h + 5*h - 10*h)*((2 + 4 - 5)*(0*h - 2*h + 0*h) + 6*h + 0*h + h).\nAnswer: -80*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41841175, -41841179, -41841183?\nAnswer: -41841187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 4 + 2)*(4*s**2 + 3*s**2 - 8*s**2).\nAnswer: 11*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002791022 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2849*r**6\/2 + 2823*r**2\/2 - 3154. Find the second derivative of o(i) wrt i.\nAnswer: 170940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103562902.\nAnswer: 2, 47, 1101733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-12)*(5 + (285\/(-12))\/5)\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -195*b + 3. Let u(o) = -6*o + 1. Determine -a(q) + u(q).\nAnswer: 189*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/26257 and -53\/90992?\nAnswer: 19745264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -58*n - 6734. Give w(-116).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 m when three letters picked without replacement from {m: 9, o: 3}.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3*-14)\/((-21)\/(567\/(-18)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h**3 - 9*h + 5. Let j(z) = 23*z**3 + 26*z - 14. Let p = 197 + -140. Suppose 18 = -54*f + p*f. What is f*j(x) + 17*w(x)?\nAnswer: 2*x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s. Let l(w) = -18*w. Let y(c) = 10*c**2 - 60*c + 48. Let j be y(5). Give j*g(t) + l(t).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 174703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 14*u**2 - 2*u + 1. Let k be b(1). Let f = k - 27. Let j be ((-36)\/(-63))\/((-4)\/f). Solve 3 = -j*m - 0*m - 5*h, -h = -2*m - 9 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 + 16. Let i = -14 - v. Let q = 1.2 + -1. Which is the biggest value? (a) q (b) i (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-9 - (-6 - 9)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 19*m**2 - 38*m - 30. Determine y(-17).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1015\/(-58)*(-232)\/5. Let w = h - 804. Solve -3*v + 8 = 4*l, 0*l = -2*v - 4*l + w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 40. Is (-14)\/(-4)*(v - 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 122.9 + -123. Let g = 1 - 1. What is the smallest value in g, 2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547 a factor of 40326651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzszzzzszsszzz. What is prob of picking 1 z and 1 s?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = -1. Find the third derivative of 5*y**2 + 0*y**2 + 37*y**3 - 9*y**2 - l*y**2 wrt y.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 2*i + 3 = -12 - 3 - 0, n - 23 = -5*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159229779.\nAnswer: 3, 53076593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Let v be (-9)\/h + 3\/6. Sort v, 2\/3, 3 in ascending order.\nAnswer: v, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(637)*-1)**2 + -3 + (-1 + sqrt(637))**2 + -5.\nAnswer: -14*sqrt(13) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 481315 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 + 2. Let p = -9 - -11. Calculate h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -12471, -12472, -12461, -12438, -12403?\n\"Answer: 6*x**2 - 19*x - 12458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -121173, 1 in descending order.\nAnswer: 1, -4, -121173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 148*b - 4203 + 207 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.967094 rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (2727\/36 + 1)*328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 5:15 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 34271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -44*k**3 + 16839*k**2 + 4985*k - 2298 = 0.\nAnswer: -6\/11, 1\/4, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - ((0 - 5) + 12 + -12 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/1)\/(-1) + 8. Let n = v - 4. Let f = 35 + 1. Solve 0 = -t + 5*k - 24, 0*t + 4*t - n*k + f = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362336240 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 - 3. Let y = 636 - 279. Let l = 361 - y. What is the closest to -0.1 in q, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101756 = 7*j - 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 412, 894, 1402, 1930, 2472, 3022?\n\"Answer: -g**3 + 19*g**2 + 432*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18635816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 24*f + 906. List the prime factors of d(0).\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77 and 517?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 - -0.03. Which is the closest to 6? (a) i (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -95\/24*q**4 + 0*q + 25\/168*q**8 + 0 + 0*q**3 + 0*q**6 + 0*q**7 - 92*q**2 + 0*q**5. Find the second derivative of y(k) wrt k.\nAnswer: 1000*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 - 1.5. Let g(s) = s**2 + s + 2. Let u be g(-2). Let r = -0.1 + 0.2. What is the closest to r in n, -5\/2, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -13. Let d = -4 + 11. Solve 0 = 2*k - h - t, -2*h - 9 = 2*k - d*h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1365067936 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 35*c**2 - 13*c + 820. Determine y(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 4*i = 20, 154*p + i - 5 = 149*p. Let q(v) be the second derivative of 6*v + 0*v**3 + 0 + 1\/3*v**4 + p*v**2. Let g(z) = z**2. Determine g(q(t)).\nAnswer: 16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a micrometer in nanometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -4) + (-5 - -4) + (917 - 928)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57)\/((-3)\/6*(-60)\/(-10)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b + 6. Give w(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 615016 and 62544.\nAnswer: 3690096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {x: 9, i: 3, k: 1, t: 1}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -183 + 188 - (7 + -22)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.017215 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 + 363. Solve -6*x + 3 - q = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1132 is divided by 63?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 10*p**2 - 14*p - 3. Let u(v) = -3*v**2 + 5*v + 1. Determine 4*r(i) + 11*u(i).\nAnswer: 7*i**2 - i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, g: 6, q: 5, t: 3, e: 5}. Give prob of picking 1 g and 2 t.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p*p\/(p*p**(-8))*p)\/p)*p**(-1\/6))\/(p**(2\/13)\/p*p*p*p**(-2\/15)))\/(p**2\/(p**(-7)\/p))**30 assuming p is positive.\nAnswer: p**(-120583\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*l - 5*d, 5*d = -l - 7 + 1. Let q(i) = -2*i - 2. Calculate q(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -29*x + 24*x + 5*v, 0 = -3*x - 5*v + 5 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 37\/3 - (-1)\/(-3). Let w = v + -10. Suppose -10 = -2*f + 3*t, f - 6 = -t + w*t. What is the least common multiple of f and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.077 - -3.823. Let z = f + 1.1. Sort 0.1, z, -0.1 in decreasing order.\nAnswer: z, 0.1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -14 - 6. Suppose 5*a - o - 5 = 0. Let d be -16*(a + (1 - 7\/2)). Solve -p + 3*y + d = 0, 3*p + 4*y = 7*p - 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022220202122110 (base 3) to base 12.\nAnswer: -6486286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**7\/168 - y**6\/120 - 7*y**5\/40 - 13*y**4\/24 - 19*y**3\/24 - 5*y**2\/8 - 2*y + 244. Factor z(h).\nAnswer: (h - 5)*(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23432 (base 8) to base 11\nAnswer: -7580","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5 + 5 = 0. Suppose 2*l + 13 = j, 0 = -f*l + 2*j - 31 - 1. Let u(n) = -11*n - 7. Is u(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14 + (-375)\/(-30))\/(18\/(-190)) and 181\/330.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 121 = 4*r. Let j be (1 + 1)*r\/8. What is the second smallest value in j, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -4780177\nAnswer: -47801770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 3:44 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 18}. Give prob of picking 2 e and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18789 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: Suppose 6*g = -4*n + g - 96, -3*n - 4*g - 72 = 0. Let y = 0.46 + 0.04. Which is the second biggest value? (a) n (b) -2\/3 (c) y (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 - 3*u. Let i = 4 - 1. Let c be j(i). Let f be (0 - c) + 2 + 3. Solve 13 = 5*r - 2*g, -r = -0*r - f*g + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -178602*n**5 + 372116*n?\nAnswer: -3572040*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -52, -33, -6?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**3 + 29*m**2 - 8*m + 92. Does 6 divide k(-29)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -51.55770792 and -35.6.\nAnswer: -87.15770792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of w**4\/4 - 5*w**3\/3 - 5*w**2\/2 - 8*w - 1. Suppose -2*s + 142 = -2*k - 0*k, 0 = -2*k + s - 140. Let l = k - -75. What is r(l)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 436.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 7*j**2 + 8*j - 6. Let u(c) = -15*c**2 - 17*c + 13. Let r(w) = 3*u(w) + 7*z(w). What is the units digit of r(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2*180\/(-7650)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 169518 and 29740.\nAnswer: 1695180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 12*a - 3. Let f be d(-13). Let j be (-16)\/20*f\/(-4) - -1. Suppose -p + 20 = 4*i + p, -2*i - 6 = -3*p. Solve i*b = -0*b + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46301226 - 103?\nAnswer: 46301123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28248 + -571752. Round t to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36 + 72. Let f = -5 - -8. Suppose k - b = -f*k. Calculate the lowest common multiple of k and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-6)\/(-48)*342\/18.\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in -3\/4, 15, 0.55, -4, -72\/7, 0.2?\nAnswer: -72\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3 (b) -22 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76.4 - 76. Let n = -40.965 + 41. Let k = n - 0.235. What is the fourth biggest value in -5, k, -1\/3, q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44182369?\nAnswer: 7, 11, 81971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 14*b + 11*b - 36, -4*b - 27 = 3*z for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*a**5 - a**4 - 2*a**3 - 6587*a + 30?\nAnswer: -140*a**3 - 12*a**2 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/1 - (3955\/105 + (-18 - -9)\/(-27)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**4\/4 - 2*c**3 - 6*c**2 - 19*c. Suppose p(h) = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*j - 75*j - 72*j)*(5*j**4 - 3*j**4 - j**4).\nAnswer: -113*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 221\/123427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/3*3\/2. Let s = b + 2. Suppose s = -3*f + 4 + 8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9946 (base 13) in base 15?\nAnswer: -72d24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from tpulkeu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t. Let v(b) = 42364*b. Let i(z) = -761*z. Let j(g) = -445*i(g) - 8*v(g). Determine p(j(u)).\nAnswer: -534*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-8))\/(10\/40). Let k = -1 - j. What is the smallest value in -1\/2, 2, k?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253 and 92.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 33 = -7*m. Let t(j) = 19 - m - 11 - 10 + 24*j - j**2. List the prime factors of t(13).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -6*x**3 + 1 + 5*x**2 - 2 + 0*x**3 + 2. Let t(m) = m**3 - m**2 - 1. Let u(n) = -15*t(n) - 3*v(n). What is the first derivative of u(a) wrt a?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -201*q**3 - 3*q**2 - 4*q - 1. What is the units digit of c(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (44 - 75 - -28 - (1 + 0)) - -32.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2840 or -2872?\nAnswer: -2872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - (sqrt(1700) + -1)*5 - (sqrt(1700) - (5 + sqrt(1700)*-1))) + 1 + -2 + 2*sqrt(1700))*-1)**2*4.\nAnswer: -2880*sqrt(17) + 109124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in four thirds of a minute?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5048298 by -1682766.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w - 10. Let q(h) = -2*h - 3. Let d(c) = -10*q(c) + 3*v(c). Let z(l) = -1 + 1 + 91*l - 102*l. Calculate z(d(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -60*a. Let d(z) be the second derivative of 0*z**2 + 0 - 24*z + 1\/6*z**3. Calculate d(m(x)).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*-5*(0 + sqrt(7)))**2 - (5*sqrt(14)\/sqrt(2) + (sqrt(7) - (0 + sqrt(847))))**2.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68289614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from hvyyhhprpopprpoyrph?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11617 - -1?\nAnswer: 11620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26328 = -30*k + 27438 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a hour?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.3 + -135.3. Let d = -109.931 - g. Round d to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 107*t + 30. Let w(y) = -7*y**2 - 236*y + 60. Let d(k) = 4*w(k) - 9*x(k). What is d(23)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -312890.28.\nAnswer: 125156.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) -0.1 (b) 4 (c) 0 (d) -2\/37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8280 + 8308 - 16586 + 976*f.\nAnswer: 976*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 - -145.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/32 and 71\/48680?\nAnswer: 194720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 22733\/4826 - 8\/(32\/18)\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114097?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -42 - 33. Let g = -95 - i. What is the units digit of (445\/g)\/(-1)*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5*(-3)\/(-9)*-3. Let o(v) = 5*v**3 + 12*v**2 - 7*v - 4. Let t(k) = -6*k**3 - 13*k**2 + 7*k + 5. Let m(x) = -7*o(x) - 6*t(x). Give m(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -4*j + 6. Let b be o(-9). Suppose -l + 80 + 25 = 0. What is the greatest common factor of b and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -678, -0.06 in decreasing order.\nAnswer: 21, -0.06, -678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -268 by -67.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7989153.\nAnswer: 3, 2663051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -139.70467801 to 2 decimal places.\nAnswer: -139.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-455)\/91 + 8 + 0. Solve -v = -5, -2*c = v - 0*v - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -437.56382 rounded to the nearest integer?\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 10180395?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 31*w + 7813 = -i, w - 3*i - 1956 = 0. Is w a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:33 AM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-2)*(-4 + 8). Let s be (a - -3) + (2 - -41). Let x = s + -10. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 96\/40 - (-10)\/(-25). What is the second biggest value in -2\/237, u, 3, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -16605, -20812, -25017, -29220, -33421?\n\"Answer: u**2 - 4210*u - 12396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 103 - 112. Suppose 0 = y + 2 - 0. Let j = b - y. Which is bigger: j or -8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1227 - -2139. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(432) + 1 + -5 + 6*(0 + sqrt(432)) + sqrt(432) + -4*2*(sqrt(432) + sqrt(432) + 1))**2.\nAnswer: 2304*sqrt(3) + 27791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -145 - 0 - (16 + (-8 - 4))?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 3. Let w be a(-6). Let h be 4 - w - (3 + -2). Is h <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10*7\/(-245))\/(120\/70)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 51560*y - 309362. Determine n(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 145686161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -15*j - 15. Let d(r) = 4*r + 4. Let t(y) = 22*d(y) + 6*k(y). Let m(g) = g + 1. Let b = 115 - 189. Let l = -84 - b. What is l*m(p) - 4*t(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/4569 - 196475\/18276. Suppose r = -2*m - 322, -27 = -2*r + 5*m - 680. Find the common denominator of r\/(-64) - (-1 + 1) and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21103321100 + 4?\nAnswer: 21103321104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 536 = 148. Calculate the greatest common divisor of 38 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14760483 to the power of 1\/3, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**3 + 26*h**3 - 20101*h + 40207*h - 20106*h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.81 and -4072.37.\nAnswer: -3298.6197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 155895, 8 in decreasing order.\nAnswer: 155895, 8, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.0884 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 2*w + 3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*u**5 + 368*u**4 + 364*u**3 + 32*u**2 - 48*u = 0.\nAnswer: -3, -1, -2\/3, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least as big as 162?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 smaller than 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 19*u**6\/120 + u**5\/15 - u**4\/4 - 7*u**3\/6 + 3768*u**2. Let f(b) = -13*b**3 - 3*b**2 + 4*b + 5. What is -7*f(c) - 5*w(c)?\nAnswer: -4*c**3 + c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022 + 1002010?\nAnswer: 1000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3.9, -17930, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*x**3 + 210*x**3 - 515*x**3 + 117*x**3 + 103*x**3.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide -7*(5 - 2)*(-4 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 11*n + 10. Is j(-8) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5625929 take away -0.1?\nAnswer: 5625929.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s**3 + 652865*s**2 + 181348*s - 72540 = 0.\nAnswer: -36270, -1\/2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 100068 * -7.\nAnswer: -700476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -1374662178*k**4 + 2749114620*k**3 - 1374242714*k**2 - 209720*k - 8 = 0.\nAnswer: -2\/26217, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1174150423 - -1296797204.9. Let d = k - 122646674.8999954. Let a = d + -107. Round a to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1322 + 1323. Solve 2*g - 5*g - 8 = -2*j, r = 3*j + g for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8412872.\nAnswer: 2, 13, 41, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047 minus 87563819483?\nAnswer: -87563819483.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3764 + 3764. Solve -k - 2*r - 2*r - 4 = w, 3*r + 3 = -5*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 960, 1919, 2878, 3837, 4796?\n\"Answer: 959*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**5 - 22*y**4 - 65*y**3 + 671*y**2 + 10*y - 5. Let h(q) = q**5 + q**2 - 2*q + 1. Let m(j) = 3*f(j) + 15*h(j). Determine t, given that m(t) = 0.\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/21 + 22\/6. Let m(f) = -4*f**2 + 4*f + 7. Let t(y) = -5*y**2 + 5*y + 6. Let w(x) = b*t(x) - 4*m(x). What are the prime factors of w(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4310600 to the nearest one hundred thousand.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f - 4. Let j(u) = 6*u**2 - 5*u - 115. Let b(q) = -3*q**2 + 3*q + 69. Let x(w) = 5*b(w) + 3*j(w). Calculate c(x(n)).\nAnswer: -42*n**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 93.\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -47671305 rounded to the nearest ten thousand?\nAnswer: -47670000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 289? (a) -2\/9 (b) -46\/53 (c) 2\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o - 23*o - 1482 = -2660 - 649 for o.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l. Suppose 3*b = -3 + 9. Let c(w) = -5*w**2 - 2*w**b + 5*w**2. What is k(c(v))?\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 360092 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 9, 23 = -2*w - 3*q - 2*q. Sort -1, -6, w.\nAnswer: -6, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829806 divided by -414903?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t. Let g(p) = 16*p - 64. Let j be g(4). Let y(l) be the second derivative of 0*l**2 + 5\/12*l**4 + j*l**3 - 7*l + 0. Determine k(y(b)).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -20950431, -20950432, -20950433?\n\"Answer: -b - 20950430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -196510029 and 0.2.\nAnswer: -196510028.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1117?\nAnswer: 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -7*z**4 - 3*z + 13. Let b be 13*3\/(-18)*-6. Let c(v) = -4*v**4 - 2*v + 6. Let m(d) = b*c(d) - 6*r(d). What is the second derivative of m(y) wrt y?\nAnswer: -120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2 - 3 + 0 + 5*i + 3. Determine o(-2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*d - 13, -460 = -2*d - 2*q - 458 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*p - 7. Suppose p*t - 8 = -t. Is 14\/2*(3 - t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 6 = -24*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93361235000 rounded to the nearest 1000000?\nAnswer: 93361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11478887 divided by 6.\nAnswer: -11478887\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 12431867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0*x + 26 = 0. Calculate the greatest common factor of x and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llhlhllhhllh. What is prob of sequence lhll?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 972859940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -820, -1990, -3604, -5662, -8164, -11110?\n\"Answer: -222*c**2 - 504*c - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 550.81836us?\nAnswer: 0.0000000063752125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12631344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -13 + -8 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52658 is divided by 26326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + c + 8*c + (-c + 2 - 2)*(-1 - 2 + 2) + (0 - c + 0)*(-2 + 0 + 4) + c - 2*c + 0*c - 5 + 5 + 2*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-1524)\/(-8))\/3)\/(5\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 12310.15.\nAnswer: -2462.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, 2301, 2\/9, -0.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*j - o, 4*o = -5*j + 26. Let n(c) = c**3 + c**2 + j + 3 - c - 1. Let t be n(0). Solve -b - t = b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 1\/2*f**3 + 8 + 3*f - 9\/2*f**2 = 0.\nAnswer: -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-35) + (-4504)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5557 - -5557. Solve 3*x + 15 = o, 17*m - 3*x - 3 = 21*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0 + (2 - 3 + 2)*(-3 + 0 + 1) + 1 - 5 + 3 - 2 - 1 + 15)*(273*f - 17773 + 17773) in the form x + u*f and give u.\nAnswer: 2730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -469804263\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2888053 - 8611947. Round w to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 28\/21 - (-2)\/3. Let f be (a\/1)\/(18\/45). Suppose 3*m = -4*x + 14, 0*m + f*x = 5*m. Solve 0*d + 13 = 3*z + m*d, 3*z - 4*d - 1 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1179\/(-27)*-1)\/(1 - -13) and 29\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**3 + 0*b**3 + 3*b**3 + (4*b**3 - 3*b**3 - 2*b**3)*(0 - 1 - 3) + (-3*b**2 + 4*b - 4*b)*(-1 - 2*b + 1).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637 = -44*i - 47*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)*1)\/sqrt(9)*-6)\/(sqrt(25)\/(sqrt(45)\/(sqrt(27)\/sqrt(3)))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14 = -3*w. Suppose 5*s = -w*v + 4*v - 2, -v = s - 8. Suppose 210 = v*d - 3*d. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a second in milliseconds?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*r + 61*r - 6. Solve r = 4*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**6\/40 - 104*o**5\/15 - 256*o**3 + 814*o**2. Differentiate b(x) with respect to x.\nAnswer: -9*x**2 - 832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 16393, 32789, 49185, 65581?\n\"Answer: 16396*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 3*l**2 + 2*l - 2. Let c be u(-2). Let q be 2 - c*(1 + -2). Find the second derivative of -f + 0*f**2 + f**2 + q*f wrt f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7344 - -7342. Sort -7, j, 1, -5 in ascending order.\nAnswer: -7, -5, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*n = 314, 3*z + 2*n = 433 + 501. Suppose -124*o - z = -119*o. Is -61 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 + 5 = 0. Let o be (k\/(-7))\/((-2)\/14). Find the first derivative of 2 + 1 - 51*p**o + 36 wrt p.\nAnswer: -102*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 4*o + 5*h - 33, -3*o = 5*h - 49. Suppose -2*d + o = 4*s - 0, -s = -2*d - 12. Suppose 0*q - 84 = -s*q. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 27. Suppose -2*d + k = 44. Let t = 9 - d. Is t a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1176095 and 290.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 6240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50.9 + 51. Is -0.03 at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131 or 1573\/12?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 86 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 5*z + 3. Let g(y) = 4*y**2 + 6*y + 3. Let t(n) = -7*b(n) + 6*g(n). What is the units digit of t(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**6\/24 - o**5\/6 + 5*o**4\/24 + o**2 - 12*o. Solve m(i) = 0 for i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 233*y**2 - 467*y**2 + 235*y**2. Let o(i) = -6*i**2 + 3*i + 58. Let m(f) = -19*f**2 + 10*f + 179. Let b(a) = 3*m(a) - 10*o(a). Give n(b(h)).\nAnswer: 9*h**4 - 258*h**2 + 1849","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r + 16. Let d be p(12). Solve -10*w**3 - 12 + 5*w - w**4 - d*w**4 + 5*w**5 + 10*w**2 + 7 = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10184.84777 to the nearest 1000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-25)\/((-3375)\/30))\/((-4)\/(-90)). Let f(v) = -2*v - 2*v + 7 - v. Give f(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.22 * 17.42\nAnswer: 3.8324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nhe when three letters picked without replacement from {h: 1, e: 7, u: 1, n: 3, y: 7}.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18583 + -9628. Is 17 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1135.\nAnswer: 5, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*h - 1041 + 1041)*(-193 + 16 + 32 - 221).\nAnswer: -28182*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g\/g**(-3))\/g**(-3))\/(((g**(-5)*g)\/g)\/g*g*g\/(g**(-2)*g*g)))**29)**(-8\/17) assuming g is positive.\nAnswer: g**(-2784\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -4*k - 3*y - 20, 0 = 5*k - 5*y + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -10. Let z be 1*j\/(-9)*3. Find the common denominator of z + 0 - 238\/24 and 67\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(63)*-2 + sqrt(63) + 5 + 3 + sqrt(252) + ((sqrt(252) + 1)*2 - sqrt(252)) + -5)**2.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*t + 46*t + 85*t - 465 + 465.\nAnswer: 78*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19533 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2e (base 16) to base 4\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1558643?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s + 115 = s. Let i = -35 - s. Let x = i + 13. What is the greatest common divisor of 5 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(3\/18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1426 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 19472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -40, -90, -168, -274?\n\"Answer: -14*h**2 - 8*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1062, 1279, -182, -4161, -11498, -23033, -39606?\nAnswer: -62057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 128 + -128.2. Sort 0, 1\/6, -0.04, s in ascending order.\nAnswer: s, -0.04, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4340\/(-9548))\/(-1 + (-7)\/(-11)). Which is the nearest to r? (a) 2\/9 (b) -0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 3*l = -27, 2*k - 21*l = -26*l - 46 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -3*h + 17, 3*h + 0*h = -2*l + 40. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 12 = 3*l - l, 4*l + 16 = 3*w. Let x(c) = -2*c**2 - 68*c - 234. Calculate the remainder when w is divided by x(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqn when three letters picked without replacement from {q: 4, h: 3, n: 7}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - 15. Find the third derivative of m**h - 5*m**2 + 10*m**6 - 3*m**6 wrt m.\nAnswer: 840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3*f + 22 = 0, 0 = l + 3*f + 184 - 170. Sort l, -5, 92 in decreasing order.\nAnswer: 92, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*q + 16, q + 4*q = 20. Suppose 6*a = 2*a + 2*w + 430, 0 = -a + g*w + 97. Suppose -4*b - a = 127. What is b rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 + (-7 - ((79 - 98) + -2 + 10))?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(11\/6) + ((-488320)\/176)\/(-109)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -35*w**3 + 196*w**2 - 88*w - 4. Calculate h(6).\nAnswer: -1036","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(108\/(-4))*50\/15*-9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -2.03. Let t(h) = h - 6. Let k be t(6). Let f be -2 - 1*((-11)\/5 - k). Which is the closest to x? (a) 3\/4 (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1821, -7364, -16629, -29616, -46325, -66756?\n\"Answer: -1861*c**2 + 40*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2814 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 4*o.\nAnswer: -o*(o - 2)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -396*w = -23*w + 151236 - 128856 for w.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1393 + -873. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2016300221 to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14123437 is divided by 1171?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 24 = -3*z, 8 + 13 = 2*z - 3*y. Let m(o) = 2*o + 5. Let p be m(z). Let w = p - 8. Solve -w*x = 2*s + 23, -2*s - 13 = x - 0*s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1144034000?\nAnswer: 1144034002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 0.3, -1, 15 in increasing order.\nAnswer: -70, -1, 0.3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Let l = 114 + -106. Suppose 30*b + l = 34*b. Give c(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 5*o**4 - 220*o**3 - 475*o**2 + 690*o = 0.\nAnswer: -3, 0, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-7) + 29002\/3360. Let d = -1\/80 + o. Find the common denominator of 113\/20 and d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/364723 and -121\/4944.\nAnswer: 17506704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4495703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -810 = 5*s - 0*s. What is the units digit of ((-3)\/9)\/(2\/s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/5363850 and 21\/893975.\nAnswer: 5363850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 5*w - 795, w - 159 = 4*i. Let p = -789\/5 + w. Factor -p*h**4 + 0*h**3 + 0*h**2 + 0 + 0*h - 3*h**5.\nAnswer: -3*h**4*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171)*2 + sqrt(171) - sqrt(171))*-3) + 0 + 1)**2 - ((4*(sqrt(171) - sqrt(171)*1)*6)**2 + 1).\nAnswer: 42*sqrt(19) + 8379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(260)*-1 - sqrt(260))*-4 + sqrt(260))\/(sqrt(45)*-6))**2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100323021313 + -122?\nAnswer: -100323022101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + 18 - (-4 + 4 + 5 - -7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 0 - 0\/7. Suppose 0 = -2*r - s*h + 44, -3*r - 5*h = -93 + 17. Suppose -4*y + 3*t + 42 = 0, -t + r = 4*y + t. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 11:58 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -13*z**3\/6 + 3*z**2\/2 + 2*z. Let x(b) = 14*b**2 - b - 1. Calculate the remainder when t(-4) is divided by x(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49434?\nAnswer: 2, 3, 7, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 11:19 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -441 divided by -1017\nAnswer: 49\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -10 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2975 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420684, -420683, -420682?\nAnswer: -420681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**8\/1680 + 3*u**7\/350 - 31*u**6\/600 + 17*u**5\/100 - u**4\/3 + 2*u**3\/5 - u**2 + 29*u. Suppose o(j) = 0. What is j?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xlccx. Give prob of picking 1 x, 1 l, and 2 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 - -47. Let n(p) = p**2 + 11*p + 18. Calculate n(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 7:45 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 5 + -3 - (7 - -1). Let g(h) = h**2 + 5*h + 66. Calculate the remainder when g(x) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12539399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79\/158*5\/((-5)\/12).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 269332.2 months to decades.\nAnswer: 2244.435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100011101000011110110 (base 2) to base 12\nAnswer: -483846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 3*v**3 + 18*v**2 - v - 1. Let g(w) = -22*w**3 - 120*w**2 + 12*w - 3. Let b(s) = g(s) + 7*r(s). What is b(6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 15 = 11*p. Suppose -7*w + 4*c + 4 = -11*w, p = -5*w - c. Solve 5*d - 4*d = -3*m - 2, w = -2*d + 8 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16430534 (base 7) to base 10\nAnswer: 1604138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bbbbbbbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154251 and 210627.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(27\/4))\/((-84)\/(-2)).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 228399847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 26 = 2*h, -u + 2 = -h - 3. Let v be -3*(u\/10 - (-19)\/(-15)). Solve -4*b = -0*w - v*w - 16, -4*b + 12 = -w for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4656, 0.3, -3 in decreasing order.\nAnswer: 4656, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17363429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1429 + -363. Let m = r + -1065.9999407. Round m to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 2*r + 11, -5*u + 6 = 5*r + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -48a?\nAnswer: -48d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 80 = -4*g, 206 = -d + 11*g + 203 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 307473 is divided by 1230?\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 18*z - 23. Calculate o(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + (-23)\/(-2). What are the prime factors of v\/(2 - 1) - 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 41*b**2 + 21*b - 21. Let c be y(20). Let h(t) = -73*t**3 - t**2 + 1. Calculate h(c).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -17, -6, -4, 0.4, 4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5 = -1. What is the tens digit of 212\/18 + u\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/1*(-7420)\/(-318)*(-4)\/(-20).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -773, -759, -743, -731, -729, -743, -779?\nAnswer: -843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 3*o - 9, 0 = -2*o + 4*o + 4*s + 16 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 3*z - z - 2 - z + 2 + (-5*z + 2*z + 2*z)*(1 + 0 + 0) + (-3 + 3 + 3)*(-7*z - 4*z - 2*z).\nAnswer: -45*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.120465 plus -4531547?\nAnswer: -4531546.879535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17745 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -802, -803, -804, -805?\n\"Answer: -d - 801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.5 and -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -70. Suppose 5*b - 536 - k = 4*x, -3*x = -2*b + 235. Calculate the remainder when b is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20702946692\/(-42))\/(13\/5). Let q = o + 189587096. Let k = q - -4310\/13. Calculate the common denominator of -43\/6 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49, 103, 159, 217, 277, 339?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -291*a - 3. Let b be o(-9). Let l = 578150\/221 - b. Let w = 16301\/2652 - l. Calculate the common denominator of 45\/4 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 91. Does 14 divide w\/6*(-24)\/(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -43. Let y be (46 - 20)*2\/12. Let m = -1109\/8 + 139. Put w, m, y in increasing order.\nAnswer: w, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-15)\/2*22726\/(-11363).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68461563?\nAnswer: 3, 47, 485543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r**4 + 1411*r**3 + 30259*r**2 - 3040*r = 0.\nAnswer: -19, 0, 1\/10, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -390, -728, -1074, -1434, -1814, -2220, -2658?\n\"Answer: -f**3 + 2*f**2 - 337*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 187633573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/104760 and 7\/432.\nAnswer: 209520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -178*t - 734 - 4606 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-11)\/(286\/(-13)))\/((-5)\/2))\/(942\/(-372090))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6917022 is divided by 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**2 - 6070*m + 79755 = 0.\nAnswer: -1227, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-70))\/((96\/(-7))\/(-8))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-2))\/c)\/(c**(4\/7)\/c)*c**3\/c**1 assuming c is positive.\nAnswer: c**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -27*i**2 + 9*i. Let r(q) = 1601*q. Determine z(r(w)).\nAnswer: -69206427*w**2 + 14409*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -308.9343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84180 and 5954820.\nAnswer: 3660","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -757.7 (b) -0.3 (c) -1\/5 (d) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*r + 514*r + 600 = 272*r for r.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15*426\/(-4). Let y be (-396)\/(-10)*175\/105 - -6. Let a = s - y. Is 1\/30 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1137.34 rounded to the nearest ten?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8004106 is divided by 1152.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 5 = 3*c, -4*c + 2 = 2*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-66)\/(-36))\/(-11) - 317\/6. Let x = c + 53. Suppose 1\/3*s + x*s**2 + 0 - 1\/3*s**3 = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64269590 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3412 + -2640. Which is the second biggest value? (a) -0.4 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of 2*b**3\/3 - b**2 - 2*b + 582. Calculate g(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**20\/u**(-29))\/(u\/(u**(-29)*u)*u)**(1\/50) assuming u is positive.\nAnswer: u**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 10929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5812.064176 to one decimal place.\nAnswer: 5812.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34359 (base 10) to base 4.\nAnswer: 20120313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 8 = -0*g. Let f(u) = 4*u**2 - 10 + 0*u + 10 + 11 - 13 + u**3 + u. Determine f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/9))**(5\/4)*(r*r*r**(-2\/3))**(4\/5) assuming r is positive.\nAnswer: r**(467\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5311, -84, -43 in increasing order.\nAnswer: -84, -43, 5311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 8. Let n be b(-7). Is 2 a factor of 7\/((-14)\/(-12)) + n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6029*f**6 - 3649*f**2 wrt f?\nAnswer: -723480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.7. Let c = -0.81 + n. Let m = c - -0.01. Is -1 at least as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/5055 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - 4*v**2 + v**2)*(15703*v - 3 - 15703*v - 696*v**2).\nAnswer: 696*v**4 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1575, -1588, -1601?\nAnswer: -1614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 p when three letters picked without replacement from {p: 13, c: 6}?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 15 + 5. Factor 3*y**d + 3*y**3 - 2 + 2 + 6*y**4 + 0.\nAnswer: 3*y**3*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4752817602.\nAnswer: 2, 3, 13, 17, 3584327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.98 - 4. Let s = -11 - -10. What is the nearest to m in s, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11201544 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -1\/9, -14, -4 in ascending order.\nAnswer: -14, -4, -3\/5, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.09095 smaller than 174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 15344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 34532790 divided by 29490\nAnswer: 1171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-296)\/(-5180) + 407468\/35. Is 11642 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -12.276.\nAnswer: -12.276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 50.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -456491947 + q + 456491947.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -110709 divided by 110709?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**3 + 5*j**2 - 3*j. Let t(h) = -16*h**3 - 9*h**2 + 6*h - 1. What is -5*s(u) - 3*t(u)?\nAnswer: 3*u**3 + 2*u**2 - 3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 17, 0, -0.75?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1053 - -4?\nAnswer: -1046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -1.3. Let l = -0.6 - -0.5. What is the closest to z in 5, 4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 7*s - 68 = 0. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -3. What is the units digit of 2\/t - 7\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 799*f + 15. List the prime factors of o(1).\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171 - 1273 = -4*i. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (13 - 3213\/85)\/((-4)\/20). Solve -g*v + 104*v = -60 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -2, 69, -1 in increasing order.\nAnswer: -57, -2, -1, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 5*h + 2. Let j be k(-2). Let c(f) = 3*f + 4. Let r(v) = 2*v + 4. Let a(b) = -5*c(b) + 6*r(b). Is a(j) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2*j = -10, 3*d = -0*d + 3*j. Let t(z) = 24*z - 39. Let f be t(3). Suppose -5*x - 2*n = -30, f*x - 11 = 29*x + n. Solve -d*y = -x + 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*r - 4. Suppose 4*m + 2 = 2*p - 4, 0 = p + m - 3. Suppose -5*l = 20, -p*l + 3 + r = n. Solve -w - n = -5*y - 3*w, 0 = -5*y - 4*w + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170*(-318)\/6307*(-14)\/44\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*(i**(-2\/5)\/i)\/i)\/i*i*i\/(i\/((i\/i**6)\/i)))\/((((i*i**1*i)\/i)\/i)\/(i\/i**(-5))))\/((i*i**(-1))**(-29))**(1\/69) assuming i is positive.\nAnswer: i**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 196347794 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*j, -5*u = -4*j + j - 224. List the prime factors of u.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 168 - 161. Solve k = -4*g - 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(0 + sqrt(325) + sqrt(39)\/(-2*sqrt(3) - sqrt(3)) + -2))**2.\nAnswer: -168*sqrt(13) + 2584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.3, 55, -0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b + 39199 = 39112 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, a: 4, m: 3, x: 2, b: 1, h: 1}. Give prob of picking 1 h, 1 x, and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - -2) + (108 - -12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -61 + 3812?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10994 is divided by 10982?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -10 - 12) + -1 + 1*3. What is the nearest to 0.1 in b, -0.15, 11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 23*n + 51*n - 3 - 14*n + 43*n in the form a + i*n and give i.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676 and 468?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570414.3km in micrometers?\nAnswer: 570414300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + (4 - 0))\/(-1). Suppose -2*p + 6 = -v - p, -20 = 3*v - 4*p. Sort y, 5, v in increasing order.\nAnswer: y, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109647.\nAnswer: 3, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5 + 6*d**4 + 1984*d**3 - 9480*d**2 - 42176*d - 30720 = 0. Calculate d.\nAnswer: -32, -2, -1, 8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/11 + 0 - 5920\/(-352). What is the first derivative of -w*z**4 + 199*z**2 - 199*z**2 - 22 wrt z?\nAnswer: -68*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 133338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*b - 8 - 21*b**2 + 19*b**2 - 2*b**3 + 0*b**2 to the form u*b**3 + y*b + q + z*b**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -98, -0.2 in descending order.\nAnswer: -0.2, -22, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - y - y + 0*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -189*b**2 + 206*b**2 + 2*b - 2 + 2 to the form n*b + v + m*b**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -218 - -478. Suppose m = 6*b - 2*b. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15 = 0, 2*f - 4*v + 9 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 599, 1178, 1757, 2336, 2915?\n\"Answer: 579*b + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mv when two letters picked without replacement from {v: 11, m: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 4:41 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 1666568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, n: 2}. What is prob of sequence nndd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2. Let h(y) = -41*y + 29*y + 36 - 36. Give o(h(d)).\nAnswer: 576*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.053 - -0.147. What is the third biggest value in 9, l, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/(z\/(((z*z**(-6\/5)*z)\/z)\/z))))*z**(1\/5))\/(z**(-3)*z**2))\/((z**0\/(z**(-4)\/z*z))\/(z\/z**(-2))**11) assuming z is positive.\nAnswer: z**29","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 203 = -4*k - k, 2*k - 67 = -d. What is the remainder when 6032 is divided by d?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 0 - (-2 + -4 + 21).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 3*b + 14, p + 3*b - 13 = -17 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wavasve. Give prob of sequence av.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 20\/17287291?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -50*i**2 + 2*i + 3. Let b be n(-2). Let u = b + 282. What is the highest common factor of u and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57483849 to the power of 1\/2, to the nearest integer?\nAnswer: 7582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-117))\/(-1)*2.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9949093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2 - i - 3. Let d(g) = -7*g**2 - 2*g - 6. Calculate -2*d(k) + 5*l(k).\nAnswer: -k**2 - k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 315 = 64*p, -46*p + 47*p = 4*z - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 2:21 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0*14\/196)\/((-12)\/(-6)). Let h(p) be the first derivative of -32 + m*p**4 + 4\/21*p**3 - 2\/35*p**5 + 0*p**2 - 2\/7*p. Factor h(q).\nAnswer: -2*(q - 1)**2*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:59 AM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1250\/45 + 4\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1142 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*t + 34 = 0, 1 = -2*r - 5*t + 3. Suppose 4*h = 2*h - 4*j - 8, 2*h + 3*j + r = 0. What is the second derivative of -s - s - 2*s**3 + h*s wrt s?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 4.1. Which is the closest to -1? (a) k (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2014 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**4 + 504*o**3 + 28224*o**2 + 526848*o.\nAnswer: 3*o*(o + 56)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/10 + (-24)\/(-10). Suppose 25 = y*q - 8*q - 5*x, -15 = 4*q + 3*x. What is the second derivative of 3*k + 2*k**5 + 0*k**5 + q*k**5 wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let u be 2\/10 + 39\/5. Let c(p) = -8 + u - 2*p. Determine r(c(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3723 + -3563. Calculate the highest common factor of 896 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -130*y**2 + 135*y - 5 = 0. What is y?\nAnswer: 1\/26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240449.\nAnswer: 11, 21859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*g - 3*g. Let h be 2\/g - (-41)\/3. What is the greatest common factor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3887237 and 3887236 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/13 + 7\/39. Which is the nearest to 1? (a) -0.2 (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 25 = -3*j, -j - 31*r + 10 = -28*r for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by -6\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -46*o + 263. Determine l(9).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11011210222120 + 101?\nAnswer: -11011210222012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306013 and 8978362.\nAnswer: 2971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 2?\nAnswer: 10111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k + 13. Calculate f(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 3*x. Suppose -6*v + 22 = 64. Is v less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16623 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68112070?\nAnswer: 2, 5, 13, 41, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(600)*-1)*-6.\nAnswer: 3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2846*t**2 + 3508*t**2 + 945*t**2.\nAnswer: 7299*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i**2 + 494405*i - 149268910 = 0 for i.\nAnswer: -99182, 301","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -502*c + 5 = -2*a - 503*c, 0 = 4*a + c + 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -179, -354, -529?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -471, -473?\nAnswer: -475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, i: 1, l: 1, x: 2}. What is prob of sequence ii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Let h(t) = -t**3 + 9*t**2 + 23*t - 11. Let d be h(11). Let a be d + 3\/(-3) + 5. Solve -4*q - 16 = u, a*k - q = 2*k + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 + 1984*t - 43640\/11.\nAnswer: -2*(t - 10910)*(t - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 + 309. Let k be -12 + 4 - -11 - w\/(-4). Solve -k*l + 4*l + 8 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2492, -2756, -3020, -3284, -3548?\n\"Answer: -264*i - 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, d: 2, g: 3, n: 5, y: 1}. What is prob of picking 1 g, 1 y, and 1 o?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/8 of a week?\nAnswer: 147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -21\/4 and -2\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 970 * -3\nAnswer: -2910","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0916805 millilitres to litres.\nAnswer: 0.0000916805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4 + 1 - 5 - r. Suppose 9*g - 4*g = -s + 124, -4*g - 2*s + 104 = 0. Let d(y) = -4*y + 4*y + 0*y - 35*y**2 + g*y**2. Determine d(u(b)).\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (-4 - -5)*30. Let t be (-72)\/o + -3 - (-66)\/10. Factor 6*j**2 - 119 - t*j + 123 - 4*j**2.\nAnswer: 2*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1854 - -2112. What is the least common multiple of 215 and k?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 7. Suppose 3*r - v = r. What is the second derivative of -i + 2*i**2 - r + 2 wrt i?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -211 (b) 4 (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.01, 7\/4, 5, -3\/7, -47, 3, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6109*n**3*s**3 - 342*n**3*s*t + 2043*n**2 - n*s*t + 1365*s**3 wrt n?\nAnswer: -36654*s**3 - 2052*s*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167*z - 151*z - 23440 = 0. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 3*v)*(3*v**4 - 2*v**4 + 0*v**4) + v**5 - v**5 - 2*v**5 + 2*v**5 - 4 + 4 + (2*v**3 + 2*v**2 - 2*v**2)*(-7*v**2 + 5*v**2 + v**2).\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*a**2*c**2 + a**2*c*d**2 - 2*a**2*c + a*c**2*d + a*c**2 + 6*c*d**2 wrt a.\nAnswer: 12*c**2 + 2*c*d**2 - 4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 0 + -7 - (-9)\/((-144)\/(-3440)) and 112?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3269662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q + 1674 - 1691. What is the nearest to 0.2 in -1, -5, -1.9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 + 272*o**3 - 3220*o**2 + 10584*o.\nAnswer: -4*o*(o - 54)*(o - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -110 + -2412332?\nAnswer: -2412442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*q + 11682 - 1308 = 0, -4*j + 10359 = 3*q. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/7 >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 530, -374, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 4*v**2 + 2*v - 1. Let c be q(-3). Suppose -3*y = -4*g + 48, -3*g + 7*g = y + c. Let i = 15 - g. Solve i*a - 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 5*f - 10. Let x be (-10 - -3)\/(0 - 1). Let u be l(x). What is the nearest to -1 in 4\/7, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2058)\/(-8) + 0 + 2\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -380.7 - -439. Let x = j - 58. Which is the second biggest value? (a) x (b) -5 (c) -3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -237*s**4 + 2*s**3 + 74425*s**2 + 10179422*s - 3?\nAnswer: -2844*s**2 + 12*s + 148850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:18 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 43. Let x be 20\/24*(3 + 0). Which is the closest to -0.1? (a) 1 (b) x (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 132*z + 1340. What is the lowest common multiple of 3 and g(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from wrrbmbrrbpbbb?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3156 + -2134. Calculate the highest common factor of 28 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {j: 1, z: 1, d: 1, a: 1, p: 2, b: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134 is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 73762826*v**2 + 3802188*v wrt v.\nAnswer: 147525652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 - 6*x**2 - 2*x**2 in the form p + h*x + u*x**2 and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3*o - 28, -4*v + 3*o = o - 40. What is the greatest common divisor of v and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(1\/12)*h**(-1)*h*h**(-5)\/h*h*h*h**(-7)*h assuming h is positive.\nAnswer: h**(-119\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1895.323km?\nAnswer: 189532300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 2*u**2 + 3 + 0*u - 2\/3*u**6 + 0*u**4 + 0*u**5 + 14*u**3. Find the first derivative of i(t) wrt t.\nAnswer: -240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/7)\/(l\/((l*l\/(((l\/(((l\/(l**(3\/5)*l))\/l)\/l))\/l*l*l)\/l))\/l))*l**11\/l**(2\/33) assuming l is positive.\nAnswer: l**(8312\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 + 4 = 0. Let u be (1 + 0)\/((-1)\/t). Suppose 11*c = 618 - 618. Which is bigger: u or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10345 (base 12) to base 4.\nAnswer: -11023211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53900 + -6279. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3110 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 1 = 5*m. What is the greatest common factor of 7 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13218034?\nAnswer: 2, 19, 137, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7 + -60.7. Let w = -52 - d. Which is the nearest to -4\/9? (a) 1.7 (b) w (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 1\/3, -428, -6.1, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*u + 167845 = 27005. What is the highest common factor of 14 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 24\/20229167 and -57\/85969.\nAnswer: 262979171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7349053 to the nearest integer?\nAnswer: 2711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 l when three letters picked without replacement from alaalla.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 32841 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5)**(3\/7) assuming n is positive.\nAnswer: n**(15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) 17 (b) 67 (c) 2\/7 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*k + 17*k + 30501. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575694478 less than -33227.9?\nAnswer: -1575727705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 18*q - 18. Let n be w(8). Put 0.5, n, 9, 3 in decreasing order.\nAnswer: 9, 3, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3323443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114 and 162117?\nAnswer: 6160446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*v + 17*v - 2*f - 290 = 0, -v - 270 = -2*f. Let b be 5\/(-3)*5712\/v. What is the highest common factor of 2 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 112 = -39*v. Let q(y) be the second derivative of 2\/5*y**5 + 0 + 0*y**v - 4*y**2 + 0*y**3 + y. Find the first derivative of q(o) wrt o.\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*n + 3*i, 3*n + 3 = 5*i + 1. Suppose -3*y - y = -4. Which is the nearest to n? (a) y (b) 0 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 35*q**3 - 2*q**2 - 3*q + 2. Let v be z(2). Let c = -2348 - -2350. Suppose 0 = c*l - 6*l + 3*h + v, -5*h + 370 = 5*l. Is 16 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 13) + (0 - 4) + 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4200\/(-4410))\/((-5)\/210)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**8\/((o**4\/o)\/o))**(-45) assuming o is positive.\nAnswer: o**(-270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 94019897892333 + 2\nAnswer: 94019897892335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 6*w - 1. Let g be z(-5). Let a(o) = 2 + g - 2*o**2 - 6. Let u(y) = -4*y**2. Determine a(u(n)).\nAnswer: -32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 21 = 3*b - 87, 82 = 4*b + s. Suppose 5*f + 17 = 2*m - 8, -b = 4*f. Put -6, m, -2 in descending order.\nAnswer: m, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jknkn. What is prob of picking 1 n and 1 k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1150 and 1100.\nAnswer: 25300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h + 8*h + 2*h**4 - 2*h**2 - 4*h**4 + 0*h - 1 in the form g*h + r*h**2 + i*h**4 + p*h**3 + c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456942 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + 3*u**2 + 2. Let s(t) = t**3 + 7*t**2 + 6*t + 3. Let a be s(-6). Let h be j(a). Let r(n) = -n - n**h + n. Let f(b) = 3*b. Give f(r(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 15. Let y = -216 + 222. Suppose y*h = -16 + 64. What is g(h)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 28*s - 785. Let v be o(28). Which is the nearest to -34? (a) v (b) 2\/3 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooo. Give prob of picking 2 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1899, 1939, 1995, 2067, 2155?\n\"Answer: 8*m**2 + 16*m + 1875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:40 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 9*i**2 - 4*i + 10. List the prime factors of z(8).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 8 - 36. Let o be (163 - -37)*(-1 - i\/1). Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 - 10*f - 15. Let k be g(-6). Let p = k + -132. What is p rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 6, 2 in descending order.\nAnswer: 6, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 - -4)\/(44\/8 - 4). Solve g = -2*n + 3, 4*g + c*n = -n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1096088 and 777.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/4 - (-4 - 277\/(-55)).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/30)\/(1\/3). Let g(p) = 1172*p**2 - 15*p - 15. What is the tens digit of g(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s**2 - 16*s + 32. Let q(n) = 4*n**2 + 5*n - 11. Let x(v) = 3*o(v) + 8*q(v). What is the remainder when 14 is divided by x(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -2*f + 5*h, 4*f - h - 1030 + 1043 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-108)\/(-28) - ((-16)\/28)\/4. Let h(j) = -131*j + 2*j**2 + a*j**2 + j**3 + 134*j. Calculate h(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 4:51 AM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 8 - (0 + 7) - (-17 + 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.9. Sort 0.2, o, 1.6.\nAnswer: o, 0.2, 1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5bb62 (base 12) in base 2?\nAnswer: 10110010011100110111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 2 = 0. Suppose -x + r + 2 = 0. Sort 2, x, -2.\nAnswer: -2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 256 - 165. List the prime factors of s.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 3, s: 3, j: 2, p: 1}. Give prob of picking 1 s and 1 p.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*r**2 + 239*r - 146*r - 132*r**2 - 138*r.\nAnswer: -15*r**2 - 45*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v**2 + 2 - 242*v + 240*v - 3*v**2 - 7*v**3 to the form w*v + p*v**2 + n + y*v**3 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0250274 rounded to 3 decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (32\/12)\/(-36*(-861)\/1134)\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 99*l**2 - 91*l - 820. What is d(98)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0072, 4, 1\/5, 41.7, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 144098 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 691515623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 5*p**4\/12 - 37*p**2. Let u(l) = -13*l + 11*l + 3 - 3. Determine s(u(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2940 divided by -490.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 - 5*u + 4. Let n = 11 + -21. Let a = 1 - n. Let q(s) be the first derivative of -3*s**4\/2 - 7*s**2 + 11*s - 1. Calculate a*v(i) - 4*q(i).\nAnswer: 2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 - -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8763490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 9 - (32 - 20). Solve 4*z + 9 + 19 = x for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 7 = -3*d, 4*x + 2*d = 5*x - 10. Calculate the common denominator of 2\/x + 85\/15 and 9\/42*(-49)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + 54. Let h = v + -71.9. What is h rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b - 41. Suppose -52*w + 46*w = -30. Determine n(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by -6.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -864973, -865216, -865459, -865702?\nAnswer: -865945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -0*w + 3*w. Suppose w*a - 4*a + 4 = 0. Solve -3*y - 2 = -a*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 12807443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 8 + 22. Suppose 2*n - w = -0. Is n smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240 + -241. What is the nearest to c in -2, 1\/2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2556 = -12*x - 17424. Let p = -2086 - x. Round p to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -2 (c) 0.2 (d) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (sqrt(1584) + 1)**2) - ((sqrt(1584) + (sqrt(1584) - (5 + (sqrt(1584) - (sqrt(1584) + 1)) + sqrt(1584)) - sqrt(1584)))**2 + -5).\nAnswer: 120*sqrt(11) + 7929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 50478*m\/7 + 252440\/7.\nAnswer: -2*(m - 25244)*(m + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6*y**2 + 586*y - 964. Let w(p) = 4*p**2 + 386*p - 643. Let n(k) = -5*b(k) + 8*w(k). Factor n(d).\nAnswer: 2*(d - 2)*(d + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w**3 + 15*w**2 + 15*w - 25. Let v(x) = -9*x**3 + 29*x**2 + 30*x - 50. Let c(r) = 11*j(r) - 6*v(r). Determine l so that c(l) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from {v: 4, z: 7, m: 1, e: 3, b: 1}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**2\/g**8)**23*(g**(-1\/4)\/(g\/(g**(-2\/3)\/g*g)*g))\/((g**(-1)\/g)\/g**(2\/23)) assuming g is positive.\nAnswer: g**(-38317\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -811 - -466. Let p = 60 - r. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqiq when four letters picked without replacement from {l: 5, g: 3, i: 1, f: 1, q: 3, y: 4}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffz when three letters picked without replacement from zttortzrobtrfofof?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 28847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1)\/(-2))\/(92\/(-184)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -143? (a) 3\/5 (b) 5 (c) -0.4 (d) 12102\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -9*n. Suppose 22*g - 3 = 21*g. Let s(x) = -g*x**2 + 37*x - 37*x + 5*x**2. Determine s(i(d)).\nAnswer: 162*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -7. Let r(n) = 12 - 9*n - 2*n**2 + 3*n**2 + 0*n**2. Calculate the remainder when r(m) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -329*o + 990. Let a be r(3). Let s(l) be the second derivative of 0 + 0*l**2 - 9\/20*l**5 + 3\/4*l**4 + 1\/10*l**6 - 1\/2*l**a + 24*l. Factor s(v).\nAnswer: 3*v*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135562289 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**2 + 27*k**2 + 13*k**2 + 5*k**2 as o*k**2 + j + w*k and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - ((-4 - -14) + -9)) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 278 = -4*m, 0 = -4*m - p + 187 + 92. What is the remainder when m is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (3 - 5) + (-5 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482338 divided by -39?\nAnswer: -482338\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (57 + -38 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 + -25. Let i(t) = -t**3 - 6*t**2 + 5*t + 3. Let h be i(z). Is 17 a factor of (h - -5)*1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 1\/4, -129, 0.01, -114, 8, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20331 - -30213?\nAnswer: 3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 3*w**2 - 5*w + 3. Let x = -20 - -25. Suppose x*u - 1 + 6 = 0. Let t(d) = -d**2 + d - 1. Give u*m(r) - 3*t(r).\nAnswer: 2*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**3 + 5958*m**2 + 1948737*m - 15969672 = 0. What is m?\nAnswer: -293, 8, 2271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/5? (a) -5 (b) -927 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 564701?\nAnswer: 564701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from vvvp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -746.876166 to zero dps.\nAnswer: -747","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 1.1, -2\/41, 1, 0.6, -10?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + d = 7, -5*o - 5*d = 2 + 3. Let x be (-24)\/(-32)*o*(1 - 111). Let j = -70 - x. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**2\/3 + 9400*w\/3 = 0.\nAnswer: -1880, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 303620 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 4*o + 4. Suppose 4*q - 2*q = 6. What are the prime factors of a(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -541677 divided by 3\nAnswer: -180559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -206*d**7\/35 + 91*d**4\/24 - 363*d**2. Find the second derivative of q(k) wrt k.\nAnswer: -14832*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -14. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 475 = 3*j + 19. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9131225.\nAnswer: 5, 365249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 159709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 + 10)*(2018\/(-4) + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10147 + 10176. Solve 0 = 25*j - 204 + c for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 88. Let w be v(-16). Suppose -22 = -31*r + w. Sort 3, 6, r in descending order.\nAnswer: 6, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(104)\/((sqrt(8) - sqrt(72)\/sqrt(9)) + sqrt(8)) - (((-6*sqrt(364) - sqrt(364)) + sqrt(364) + sqrt(364) + sqrt(364))\/sqrt(7))\/sqrt(4))**2.\nAnswer: -50*sqrt(13) + 350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -296 bigger than -296?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30612 + 26510 = 78*n + 1296*n + 7658 for n.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 10:42 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 0.04, -2, -0.4, 1.03?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 40 (b) -2 (c) 5 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 51*h**2 + 16 + 15)*((-13 - 28*h + 13)*(h + 4 - 4) + 0 + 1 + 3*h**2 - 5*h**2) to the form u*h + f*h**4 + i + o*h**3 + r*h**2 and give r.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*c - 81 = 0, 2*j + 318 = -c + 4*c + 256 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590665 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 216733939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -506400, -506403, -506408, -506415, -506424?\n\"Answer: -m**2 - 506399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-35)\/(-28) + 6\/(-8). Let i(y) be the first derivative of -2*y + 1 + t*y**2. What is the derivative of i(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 5*z. Let y be o(-1). Let a be 5 + -2 + (y - -4). Let l = 257 + -235. Calculate the highest common factor of a and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, x: 3, r: 5, y: 1, a: 3}. Give prob of sequence ya.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) - sqrt(425)*-2).\nAnswer: -55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*2 + 2.\nAnswer: 2 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -442082853.\nAnswer: -442082853.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 1 + 4 - f + (4*f + 2*f - 4*f)*(-2 + 1 + 2) + f - 1 + 1 as m*f + u and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m - 9, -o - m = -10. Suppose 2*f - 9 = 5*f, 2*u + 5*f + o = 0. Solve -2*c**3 - 2*c**u + 2*c**2 + c**5 + 0*c**5 + c**5 = 0 for c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -11*k**2 - 344*k + 37. Let t(j) = -2*j**2 + 6. Calculate b(w) - 6*t(w).\nAnswer: w**2 - 344*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.175 - -0.035. Let g = -236 - -234.21. Let m = g - q. Is -4 >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 105 (b) -1\/7958 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2581*u**5\/5 - 2209*u**2\/2 + 1818. What is the second derivative of y(m) wrt m?\nAnswer: -30972*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 6:31 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 800 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 7*u + 2. Let r be q(-4). Let v = r + 30. Suppose -v*m + 1227 = -m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 259*l**2 - 102*l**2 + 257*l**2 - 30*l**2 in the form k*l + d*l**2 + s and give d.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4548 divided by 20\nAnswer: 1137\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-6) + (-20)\/(-24)*-4. Put 4, 2\/11, l in descending order.\nAnswer: 4, 2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**4\/24 - 4*z**3\/3 + 3*z**2. Let w be o(10). What is the second derivative of 2*x**2 + w*x**3 - 2*x**2 - x - 8*x**3 wrt x?\nAnswer: -36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2 - 3008*u - 565504 = 0. Calculate u.\nAnswer: -376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 + -1)*(0 + 2). Let r(c) = 4*c**2 + 3*c**2 - 2*c**2 - 4 - 4*c. Let d(l) = -l**2 + l + 1. Suppose -87*f + 23 + 64 = 0. Determine f*r(j) + x*d(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-1))\/((-1)\/(-2)). Suppose 0 = -3*p - 2*p + 10. Suppose 5*m - 90 = -3*y, m + m = -p*y + 36. What is the greatest common divisor of m and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -328 + 15414\/47. Let z = n - -53\/141. Is 13 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3478050 and 590.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(11)*-2)**2 - (3 + (sqrt(44)\/sqrt(4) + 4)**2)) + -3 + 1.\nAnswer: -296 - 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 4*l**2 + 2*l + 8. Let r be y(-4). Let i be (-1 + r)\/(9\/63). What is the third biggest value in 1, i, -0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -142628 + 142628. Let n(t) be the first derivative of -t**2\/2 + 2*t - 1. Let c be n(-3). Solve x*z + 20 = -c*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2))**(-2))**(-3\/7))**(8\/13) assuming h is positive.\nAnswer: h**(-96\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 10:08 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29323.\nAnswer: 7, 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (39\/3)\/(-39)*(-165)\/(-11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1654, 1651, 1648, 1645, 1642?\n\"Answer: -3*r + 1657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-38)\/190 + 112\/(-810). Let z = -2\/405 - u. What is b in 2\/3 - b + z*b**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 12:03 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -111580 to the nearest 1000.\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-108)\/(-18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1201446.\nAnswer: 2, 3, 19, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 0*v - 3*v - 3 + 1. What is the remainder when y(-2) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4144 = 36*m + 112*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24095345 divided by 14.\nAnswer: -24095345\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*z + 63*z - 142*z + 24*z.\nAnswer: -280*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - -54. Let y be ((-32)\/(-3))\/(i\/12). Suppose -y*b - 745 = -21*b. What are the prime factors of b?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.4 + 8. Suppose 4*m = -2*o - 26, 2*o + 54*m + 2 = 56*m. Which is the biggest value? (a) r (b) -3 (c) -2\/7 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -531*z**5 + 13*z**4 - 2202*z**3 + 107561068*z**2 + 2?\nAnswer: -31860*z**2 + 312*z - 13212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txnnnnmthxttmno. Give prob of picking 1 x, 1 t, 1 n, and 1 o.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/7*(-40)\/10\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11010111100110000 (base 2) to base 15\nAnswer: -22a8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4932111g in nanograms?\nAnswer: 493211100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.8 + 30.2. Let j = 38.1 - c. What is the biggest value in -1, -1\/8, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rnttnunstlntn. Give prob of picking 1 l, 1 t, and 2 n.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*s**2 - 79*s**2 - 145*s**2 - 38*s**2 - 1.\nAnswer: -50*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1222*w + 4404. Is i(-19) a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594112 is divided by 1121?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrgrgrrfggggrgrgb. What is prob of picking 2 g, 1 r, and 1 b?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -g**5\/110 + g**4\/33 - g**3\/33 - 19*g. Factor r(l).\nAnswer: -2*l*(l - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 6535.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pliiikpcipiiliill. What is prob of sequence kpip?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*x = -12, x - 1 - 7 = 3*a. Let i = -3 + a. List the prime factors of i*(-6)\/(-1 + 4).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 712 + -412. What is the lowest common multiple of 420 and d?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.008 - -0.508. Which is the second biggest value? (a) t (b) 1 (c) 0.4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.10525+52220503541\nAnswer: 52220503541.10525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1844 - -1845. Sort h, 8, -4 in ascending order.\nAnswer: -4, h, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, p: 1, i: 3, h: 1}. What is prob of sequence ihzz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48\/1103 or -2?\nAnswer: -48\/1103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, 6 in increasing order.\nAnswer: -2, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1245*c**5 + 791178*c**4 - 791178*c**4 + 11*c**2 + 5*c**5 - 11*c**2 + (0 + 1 - 2)*(1 - 1 - c**5).\nAnswer: -1239*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.08, 67817 in increasing order.\nAnswer: -4, 0.08, 67817","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -14. Suppose -j = 8*j. Solve -r + h = -j*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 13 = 3*o, y - 25 = 2*o - 27 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 15*h**2 - 24*h - 24. Let a be p(13). What is the highest common factor of a and 74?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 1 = -10. Let h = -2 - -2. Let f be 0 + (4\/26 - h). Which is the third biggest value? (a) 0.4 (b) y (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2901.5 times -0.2\nAnswer: 580.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/((-9)\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/9 + 2*w**3\/3 + 20*w**2\/9.\nAnswer: -2*w**2*(w - 5)*(w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.65 + 18.85. Let j = -141\/259 - 1\/37. Which is the second biggest value? (a) j (b) -0.1 (c) p (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*y + 6*y**3 + 19*y**3 - 4*y**3 + 40*y**3 - 3*y.\nAnswer: 61*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -4. Let m = -0.5 - -0.2. Let n = 0.2 + 0.1. Sort m, u, n.\nAnswer: u, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35654.68 minutes to microseconds.\nAnswer: 2139280800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 164 and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5701722 + 201?\nAnswer: -5701521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43951545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1219 and 8.\nAnswer: 9752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9632 is divided by 75?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -10321132320 (base 4) to base 6\nAnswer: -43304320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k - 2*k + k + 78 - 2*k.\nAnswer: -3*k + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4761 is divided by 1157?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 410 = 5*v - 5*p, -v + 36 = -2*p - 44. Find the common denominator of 5\/4*(-104)\/v and 41\/22.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 38\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 34. Let g be n(12). Suppose 30 = 5*d - 4*u, 3*u - 23 = -5*d + 7. Solve d = g*k + k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14*p**3 + 4*p**3 - 2*p**3)*(3 - 1 - 1) + 12*p**3 + 28*p**3 + 5*p**3 + (-p + p + p**2)*(4*p - p - p) to x*p + a + s*p**3 + i*p**2 and give s.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3.7, 3, 1\/4, -175, 2, 0?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -0.0668\nAnswer: -0.1336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - -96?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(26)\/((sqrt(48)\/sqrt(2))\/sqrt(12) + sqrt(2)) - ((-1 + sqrt(637))*1 - sqrt(637))**2).\nAnswer: -3*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2749*h - 1228 wrt h?\nAnswer: 2749","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (88\/70)\/(-34*4\/(-476))\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) -5 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*l - 137 = 216, 4*l - 91 = -i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 244*k**5 + 198*k**2 + 10468*k**5 + 201*k**2 - 399*k**2 + 0*k**5 - 2*k**5 + k**5 + (2*k**3 + 3*k**3 - 3*k**3)*(2*k**2 - 3*k + 3*k).\nAnswer: 10715*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 104708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3690269 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-5\/13)\/k*k)\/k**(-2\/39))**(-1\/38))**(-39) assuming k is positive.\nAnswer: k**(13\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 128 - (10 + 56\/(-8)). Let r = g + -117. Solve -3*z + 6*z - 5 = -2*w, 4*z = -3*w + r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**6\/3 + 2*n**2 - 5. What is the second derivative of s(y) wrt y?\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 50 + -348\/7. Determine p so that -2\/7*p**2 - r*p**3 + 2\/7*p + 2\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*s**2 + 6*s**2 + s + 15*s**2 + 0*s as x*s**2 + h*s + w and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17280 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 1:59 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -53, -114, -199, -308?\nAnswer: -441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -320648 take away 5.321?\nAnswer: -320653.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -6, 5\/3, 11515?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2171)\/((-3)\/2 + (8\/(-2) - -5))?\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 3941691 = 5*c + 3941636, -d + 5*c - 1 = 0 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 5*j**3 + 2*j**2 - 3*j - 9. Let d(t) = -26*t**3 - 11*t**2 + 16*t + 45. Give -2*d(m) - 11*r(m).\nAnswer: -3*m**3 + m + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9204184 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 29*m**4\/12 - 15*m**2 + 36*m. What is the derivative of u(r) wrt r?\nAnswer: 58*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/910 and 36\/161.\nAnswer: 20930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 25*a**3 + 10 - 2 - 8 + 4 + 2*a**2 as t*a**2 + r*a + d*a**3 + n and give d.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 423 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/16 and 119\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3110023 (base 5) in base 16?\nAnswer: -c5ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c + 3995 = 44*c + 65*c. Calculate the remainder when 134 is divided by c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 25*q = 27*q - 21, -5*q = 3*t - 5. Solve -t*j - 13 = w, 11*j + w = 7*j - 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -21 + 6 + -6\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 431*y**2 + 111*y**2 - 264*y + 197*y - 2*y**3 - 36*y**2 - 482*y wrt y?\nAnswer: -12*y + 1012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + 10. Is x a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 337889 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -105. Solve 3*q = 3*d - 4*d - 3, f = -3*q - 2*d - 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 + 8.63208.\nAnswer: 72.63208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (100\/1250)\/((-7)\/(105\/12))\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from ccccrccccccccccccccc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*f + 10, -4*f + 7*f + 12 + 13 = 2*o - 2*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/72)\/(195\/405*-18)*-4.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -5*z, i + 5*z = 4*z + 1. Solve -a = i*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 21 = 3. Suppose -2*x - 11 = -h, x - 3 = 2*r. Put 15, r, -5, 5 in decreasing order.\nAnswer: 15, 5, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16608746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41 and 3*(-99)\/(-27) - 3.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23968998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 1325280?\nAnswer: 1325280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-14 - -4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/1*1\/(-2). Suppose -5*w + 7 - 2 = v. What is the units digit of -6*3\/(-6) + w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**2\/2 + 15*l + 154. Give u(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1223494093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -254*p**2 + 3*p + 1. Let u be y(-1). Let f be (u\/24 + 10)*(-3)\/2. Does -7\/30 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -257460 and -0.128.\nAnswer: 32954.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 792228947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 PM and 2:20 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2 - 5\/3 + 149\/3*y.\nAnswer: (y + 5)*(30*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sas when three letters picked without replacement from ssasassssaa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -78 - 2*j - 349*j**5 + j + 78 - 89*j**2 - j wrt j?\nAnswer: -20940*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48030926?\nAnswer: 2, 41, 585743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sysr when four letters picked without replacement from syyyqysyysssrssyy.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - -2.7. Let r(z) = -124*z - 21587. Let t be r(-174). Which is the nearest to 6? (a) t (b) o (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*j + 3*j = -290. Let x(l) = -l**2 - 18*l + 1. Is x(j) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 18*i**2 + 3*i - 13. Let j(m) = -11 + 323*m + 0*m**3 + m**3 - 321*m - 17*m**2 + 0*m**3. Let t(l) = 3*j(l) - 2*o(l). Calculate t(15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184\/166895 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -961*k*q + 878*k*w - 4*q**2*w + 3*q*w - w + 2 wrt q.\nAnswer: -961*k - 8*q*w + 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, j: 1, b: 1, d: 2, a: 1, y: 2}. Give prob of picking 1 j and 1 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1075, -1037, -1013, -1009, -1031, -1085?\nAnswer: -1177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(1\/(-2)). Suppose g + 12 = -g. Let p(y) = y**3 + 7*y**2 + 4*y - 7. Let q be p(g). Solve q = -a*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-251)\/((-166413)\/(-78))*374\/(-20)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 2 - -6) + -1. Differentiate -198*r - r**2 + 198*r - y wrt r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 16}. What is prob of sequence lell?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 85 + -73 - (21 + (1 - 5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-495)\/(-69)) - (-4)\/(-20)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 9*w**2 - 9*w + 10. Calculate the remainder when (-396)\/21*56\/(-12) is divided by i(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1\/1 + 365 + 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*h - 30, y + y = -6. Let z = 8 - 5. Solve -h = 5*s - s - o, -2*o - 4 = z*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 + 2)*(-4*h**2 - 11*h**2 - 19*h**2) to the form g + b*h**2 + o*h and give b.\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*r + 10 = -4*g, 32 = 3*g - 10*r + 31 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-10))**15 assuming i is positive.\nAnswer: i**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -0.9, -0.43, -1\/2 in descending order.\nAnswer: 3, 0, -0.43, -1\/2, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:18 AM?\nAnswer: 8:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 3*x - 2. Let v(j) = -2*j**2 - 3 + j**2 + 0*j**2 + 2 - j. Let z(g) = 3*t(g) - 5*v(g). What is z(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3948 divided by 21884.\nAnswer: 987\/5471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 6:59 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 78799021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/720 + n**4\/12 + 4*n**2. Let o(l) be the second derivative of g(l). Let f(u) = 15*u. What is o(f(y))?\nAnswer: -15*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - (-19 + 5 - -3)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1034150 and 1100800.\nAnswer: 529484800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18206 divided by 2.\nAnswer: 9103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((1 - 2)*1\/(-5))\/(481\/185). Which is the closest to 1\/2? (a) -5 (b) 85 (c) -2\/11 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 140249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2360048329.\nAnswer: 983, 2400863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/4*(0 - (4 - (3 + 0))). Let h(y) = -y**3 + 8*y**2 - 6*y - 7. What is h(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15.6284667 minutes?\nAnswer: 0.001550443125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = q - 19, -2 + 1 = c + 5*q. Let z be ((-2)\/14*c)\/(25\/(-75)). Let h = -89\/14 - z. Are -0.2 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 10. Let m(g) = 7*g - 21. Let r(c) = 4*m(c) - 9*n(c). Let z be r(-7). What is z rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211275465?\nAnswer: 3, 5, 14085031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 2*d**2 - 4*d**2)*(-1 - 2 + 1)*(-3 - 29 + 11).\nAnswer: -126*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -67888*-1880\nAnswer: 127629440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o**2 + 3*o. Let s(j) = -3*j**2 + 12*j**2 + 2*j**2 + 8*j. Let z(f) = 3*s(f) - 8*v(f). What is the tens digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494384, -1977529, -4449436, -7910105?\nAnswer: -12359536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 7:50 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 158 and 507022.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/4037, 2, -2, -0.3 in ascending order.\nAnswer: -2, -0.3, -2\/4037, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -12*d**3. Suppose 9 = a - 4*a, 0 = 2*s - 3*a - 11. What is o(s)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 747656 - -2?\nAnswer: 747660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7*q + 1 - 2*q + q**2 + 8*q. Let k be y(0). Which is smaller: -4\/15 or k?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 132, 277, 476, 729?\n\"Answer: 27*o**2 + 10*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -31. Solve 2*y = -y + s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + 5\/(-20)*-6. Is d < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5150, 20593, 46330, 82361, 128686?\n\"Answer: 5147*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(784)\/sqrt(7)) + ((sqrt(28)\/sqrt(4)*-4 - sqrt(7))**2 - (sqrt(2268))**2).\nAnswer: -2111 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41159 - 2541. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 89926092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j + 4. Let z(a) = 1. Let w(c) = -r(c) - z(c). Let g be w(4). What is the tens digit of g\/(35\/20) - -28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*6*(-1 + sqrt(11) + 3*sqrt(275)).\nAnswer: -30 + 480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 5*v = 31, 1 - 2 = -2*w + v. Suppose -n + j = 6 - w, j = -3*n + 11. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 5*x - 13. Suppose 77 = 8*r - r. What are the prime factors of t(r)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1485 - -2119. Suppose 24*n - l - 230 = 0. What is the remainder when n is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17945546.12 to the nearest 10000.\nAnswer: -17950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 104 divide 73365032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 - 92. Let r = 86 + i. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 + 27. Let v = 74 + a. List the prime factors of v.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zd when two letters picked without replacement from lldlzcnllldlllldc.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 7*n**2 - n + 10. Let t be w(7). Suppose 2*s + 128 = -3*z, -z = -t*s + 86 - 25. Let a = 69 + z. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + -1704602?\nAnswer: -1704641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2160)\/(-648)*54\/15*-1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 5, m: 1, v: 1, d: 3, f: 2}. Give prob of picking 1 v and 2 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*95\/(-8113)*(-10)\/25*(-2)\/4.\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g - 5. Is z(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p + 294 + 66 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 223 and -5.\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x + 41*x + 4*b - 13 = 0, -20 = -4*x - 2*b. What is the greatest common divisor of x and 68?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045651973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 4*q - 6. Suppose -2*v = v - 2*f + 9, -f = v + 3. Let p be 2*-6*2\/v. Let d = p + -13. Give h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 2*v**3 - 5*v**3 + (0*v**2 - 4*v**2 + 2*v**2)*(-v + 2*v + v) to i*v**2 + d*v**3 + k*v + o and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17011*j**4 + 9947?\nAnswer: 68044*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2644104546.\nAnswer: 2, 3, 16321633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -p + 8 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**3 - 2*x**3 + 5*x**3)*(-2*x**2 + 7*x**2 - 3*x**2) + (2*x**2 - x**2 - 4*x**2)*(0*x**3 + 5*x**3 - 3*x**3).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m + 22. Let l(x) = -3*x - 11. Let h(a) = -5*l(a) - 2*r(a). Determine h(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 22 + 7 = 0. Solve -3*r + 2 = b - x, -3*r + b + 13 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 - 1.4. Let z = o - -1. Let y = -0.25 - -4.25. What is the biggest value in y, z, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -8 (c) 2\/11 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - (6\/7)\/(22\/154). Let y(c) = -c + 1. Calculate y(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w. Let n(u) = 2*u. Let g(o) = -6*o. Let f(h) = 3*h. Let r(x) = 5*f(x) + 3*g(x). Let q(j) = 5*n(j) + 3*r(j). What is q(d(c))?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001 + -1.5?\nAnswer: -1.50001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*f = 12036. Let o be -3 - f\/(-6 - -3). What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -387 - -2?\nAnswer: -385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5358 + -5353. Calculate the remainder when 58 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/7))**(-2\/29))**(2\/81) assuming q is positive.\nAnswer: q**(-4\/16443)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 + 3*d**2 - 2*d + 1. Let f be q(3). Let k(n) = -2*n - 5. Suppose 4*b + 16 = 40. Calculate the least common multiple of b and k(f).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 1:22 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -30 - -41. Let t = -2 + 6. Suppose -7 = -5*g - 5*i + 13, 5*g = t*i + z. Solve -8 = g*w + 7 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -738 - -11072\/15. Let o = 1.18 - 1.08. Sort o, 28, t, -4 in descending order.\nAnswer: 28, t, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -22*o - 102. Let h be j(-6). Solve -4*t + h = 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k*p**3*y + 3*k*p**3 - 523*k - 12*p**3*y - 5*p**3 + 61*p**2*y + 3 with respect to k.\nAnswer: 2*p**3*y + 3*p**3 - 523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + -11776?\nAnswer: -11718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/24 + -1 + 21\/4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2227*d - 11140. Give f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q**3 - q**2 + q. Suppose 0 = -0*j - 4*j. Suppose j = h - 11 + 1. Let r be (-2)\/(-4) - (-5)\/h. Determine s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 69, 400, 1187, 2622, 4897, 8204, 12735, 18682?\n\"Answer: 32*a**3 + 36*a**2 - a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18076 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0314 or -196?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -108 + 125. Suppose 16*c = m*c - 125. Suppose -2*j - b = -61, -4*j = -b + 2*b - c. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 6326612*h**2 + 5003258751424*h + 10006492196416.\nAnswer: 2*(h + 2)*(h + 1581652)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19062317 (base 10) to base 3.\nAnswer: -1022212110120202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3460 + -3461. Which is the closest to 0.1? (a) -7 (b) f (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*u + 104592 - 1108592 = 0, 5*u + 1004000 = -4*c. What is c rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 237*h**2*u + 2*h**2 + h*u - 46*h wrt h.\nAnswer: 474*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j*j**(2\/3)*j**(-5)*j\/((j\/(j\/j**(-5\/2)))\/j) assuming j is positive.\nAnswer: j**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sxs when three letters picked without replacement from {x: 13, s: 3}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19731 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -4.3. Let d = -2.5 + 0.5. Let o = 172 + -4298\/25. Which is the nearest to d? (a) -0.4 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 267.3.\nAnswer: 267.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 186 - 181. Calculate the remainder when 6 is divided by 3 + ((-2)\/g - 49\/(-35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4.7116179 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, n: 2}. What is prob of picking 2 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 141995830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-46)\/(-8) - (69\/12 + -5). Suppose -4*f = 3*u - 2891, f + 4*u - m*u = 728. Suppose 7*s - f = 2*s. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1690 divided by 1?\nAnswer: -1690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000109 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) -2\/11 (c) 88 (d) -0.1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*l - 2037381, 3*l + 1287092 + 750279 = 5*s. Let d = l + 309132. What is d rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 4*o + 45, -3*t = 7*o + 56 - 1 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 - 1 = -8*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3044 (b) 5 (c) 1\/5 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2475 or 2482?\nAnswer: 2475","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -5 + -16 + 1 + 50 + (1 - 0).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away -23117499?\nAnswer: 23117518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 10*r + 14. Let c be (-5)\/((-21 - -18) + r\/(-2)). Let v(i) = -2*i**2 - 21*i - 3. Let x be v(c). What is the highest common divisor of x and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3\/5 - 18*w**2\/5 + 48*w\/5.\nAnswer: -3*w*(w - 2)*(w + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1650.027 to 0 dps.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31632 is divided by 5123.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 4. Let g be z(-3). Do g and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpdy when four letters picked without replacement from yvnyypnypyyyyyyfdpy.\nAnswer: 11\/31008","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 - 75. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*h, -4*h - 8 = 3*i - 0*h. Let n(d) = d + 8. Let q be n(i). Suppose 1492 + q = -5*m. Round m to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8806 - -8810. Let c(l) be the second derivative of 0 + 1\/13*l**2 - 8*l + 3\/26*l**v - 2\/13*l**3. Find q such that c(q) = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 251 = -36*n - 265 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33099.514269 less than -0.4?\nAnswer: 33099.114269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.2 - 0.6. Let u = 1.25 + a. Let p = u - -0.479. Round p to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*u + 46574 - 45776 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3145 by 1.\nAnswer: 3145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2160*j*p**3 - j*p**2 - 214*j + 12 wrt p?\nAnswer: 6480*j*p**2 - 2*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-14)\/(-6) - 10\/(-15). Suppose -h*a + a + 14 = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*4\/32)\/((-3)\/(-36))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.773692 months in years?\nAnswer: 1.981141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72977?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u + 7. Give v(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/2*(-45)\/(-25). Let t(a) = 6*a - 16. Calculate the remainder when t(m) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1555*-2.9.\nAnswer: -4509.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.93 + 0.07. Which is the second smallest value? (a) 0.1 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*18\/(-315)*-7.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7270550.\nAnswer: 2, 5, 7, 20773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 31*c - 27*c - 9, -2*q + 3*c = -2. What is the highest common factor of 49 and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -1. Let g(f) be the first derivative of 5*f**3\/3 + f**2\/2 - f - 25. Let y be g(s). Solve -y*t + 8 = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*-3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (28\/21)\/((1\/(-4))\/(186\/(-248)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9992*u - 155 = -9986*u + 19976*u + 3*r, -4*u + 5*r + 257 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 427570237 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104710 and 812150?\nAnswer: 229838450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-5)*(m\/(m**(2\/5)*m*m*m))\/m*m)\/(m**(-2)*m*m*m**(-3)\/m))\/(m**(-6)\/(m\/(((m**(-3\/10)\/m*m)\/m)\/m))*m\/m**(-3\/7)*m\/m**(-5)) assuming m is positive.\nAnswer: m**(-107\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 6 = 2*u, 6*u = d + 3*u - 9. Solve d = 4*m - f, 4*m + 18 = -3*f + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 2:09 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125 by -422.\nAnswer: -125\/422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*j + 321 = -32*j - 84, -2*q + 3*j + 15 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9293 is divided by 2318.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136 a factor of 1404309568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 8*o + 3. Suppose 10 - 55 = -5*i. Let m be q(i). Suppose -3*w = -5*w + m. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, n: 11}. Give prob of sequence nnnn.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - 1.4. Let z = -44 + o. Round z to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -63\nAnswer: 44\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1540080 by -27.\nAnswer: 57040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 257186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 211302892 * 0.2.\nAnswer: 42260578.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*k + 3*x, -5*k - 3 = x + 17. Let z be 12\/64*k - -1. Solve -z*s**2 - 1\/2 + 3\/4*s = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*a + 11 = 7*a, -3*x = 3*a - 21. Let z be x\/(8\/10) + -2. Suppose -6*u - z = -7*u. Solve 1 = u*b + 7 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 - 90*i**2 + 407*i. Let p(l) = -5*l**3 + 90*l**2 - 408*l. Let g(f) = -2*p(f) - 3*y(f). Factor g(c).\nAnswer: -5*c*(c - 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**3 + r**2 - 2*r + 1. Let j be c(1). Let o(v) = -4*v + 0*v - 8*v**2 + v**j + 11 - 4*v. What is the tens digit of o(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 44 = -2*f, -4*f - 44 = g - 3*g. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = j + 99, 5*j + 64 = 3*t - 35. Calculate the greatest common factor of t and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -321 + 386 + (6 + -5 + -4 - 0).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 4*v - 5 = 0, 2*f - 1 = f - 2*v. Solve 0 = -4*j + 3*j - f for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1190697 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + -1)*2\/(-8)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 501 - 500.8. What is the nearest to 1\/2 in -0.4, k, -5, -0.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2723025, 5446047, 8169069, 10892091?\n\"Answer: 2723022*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5165.\nAnswer: 5, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*x - 242*x = -641*x - 521*x + 57794 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (-11 - 3) - (1 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -1\/60*w**5 + 163*w**2 + 0*w**4 - 47\/120*w**6 + 0*w + 0 - 11\/6*w**3. What is the third derivative of k(g) wrt g?\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5785 and 5785 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 353 or 0?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -664.03 - 204.\nAnswer: -868.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 19*d**2 + 858*d + 179. Give u(-45).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 7*i**2 + i - 6. Let u be w(7). Let z = 2 + -26. Let a = z + 32. Solve 0 = -f - 5*s - a, 19 = 5*f - 5*s - u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23201001 + -242?\nAnswer: 23200204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 20*w + 5. Let b(t) = -33*t**2 - 578*t + 1. What is b(n(f))?\nAnswer: -13200*f**2 - 18160*f - 3714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvd when three letters picked without replacement from {y: 1, v: 2, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 minus -131.63663?\nAnswer: 195.63663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 202250 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -940690 rounded to the nearest 10000?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -9 - (6 - -6 - 0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (9\/15)\/((-1)\/5*-1). Let a(k) = 4*k - 2. Let o be a(q). What is the greatest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 159\/(-1590)*15\/10\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7377?\nAnswer: 3, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36270.\nAnswer: 2, 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10750*-0.08.\nAnswer: 860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-374)\/(-1122)*(-69)\/9*-9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 18, n: 1}. Give prob of sequence mn.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.09 (c) 2 (d) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 7, p: 5, z: 3, q: 1}. What is prob of picking 1 p, 1 q, and 2 z?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1, -1\/8, 2, -73, -4\/199, -11?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -4.6 (c) -5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + 107.2. Suppose -58*p + 59*p = -5. What is the third biggest value in 2.2, m, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 340132*a - 178*a**2 - 340132*a + 178*a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 646 and 382602?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - 103 = 30. Solve -27 = -2*t - 5*a, -2*t + b - 2 = 3*a for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from ttmtmttt.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 25*w**3 + 3*w**2 - 2. Calculate k(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + m + 30 = 0, 4 = -u + 3*m - 6. Let k = u - -22. What is the smallest common multiple of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486524009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21934 divided by 1994\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*b = 2*x + 5881, -x + 2940 = b. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*z + 35, 5*z + 5*s = -0*s + 45. Let j = z - 5. Let b(f) = 2*f. Let t(g) be the second derivative of g**3\/6 - 14*g. Give j*t(d) - 3*b(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16, -33, -21813?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-6)*210\/(-14)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 681, 14, -1 in decreasing order.\nAnswer: 681, 14, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 542, 2148, 4806, 8510, 13254?\nAnswer: 19032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 58407.03 years?\nAnswer: 700884.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 3*a**2 - 8*a + 6. Let f be p(-5). Let z(l) = -13*l + 13. Let g(n) = -3*n + 3. Let v(s) = 9*g(s) - 2*z(s). Give v(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 51*t**2 + 54*t.\nAnswer: -3*t*(t - 18)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4.46746878 + -23\nAnswer: -18.53253122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1268, 4\/9, -1220 in descending order.\nAnswer: 4\/9, -1220, -1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13787915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, 0.2, 5\/1481, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t**2 - 1. Let q be p(-1). Let r(z) be the first derivative of -1\/4*z**4 - 1\/2*z**2 + 2*z**3 - 124 + 4*z. What is r(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f - 4*f - 9*f + 4*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 939 or 943?\nAnswer: 943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 5*j + q, 5 = j - 4*j + 5*q for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59339963 is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99690, -399836, -900078, -1600416, -2500850, -3601380, -4902006?\n\"Answer: -100048*r**2 - 2*r + 360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4696 and 512.\nAnswer: 300544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 18 = 3*r, 6*r + 6 = 3*r. Solve -2*k + 4 - 18 = -4*o, o - x = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 99356184\nAnswer: -99356184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92109, 1, -255.\nAnswer: -92109, -255, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2443300 (base 5) in base 14?\nAnswer: 1303a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (28\/4 + -24*10\/(-80))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 18 = -7*a - 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*m + 5322 = 0, -u - 3*u - 2*m = 10646. Let g = -4242 - u. What is g rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-104)\/(-16)*-60*3\/6).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7439?\nAnswer: 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 696 = 668. Let k(d) = -78205 + 78205 + d**2 + q*d. Determine k(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)\/i)**47 assuming i is positive.\nAnswer: i**(-799\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/(-30))\/(15\/5).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71 - 76) + (1 - -6) - (7 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of -3*i**5\/10 + i**4\/12 + 3*i**3 - 11*i**2\/2 - 2*i - 75. List the prime factors of f(-6).\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 297188986 is divided by 1164.\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 7*f - 11*f + 22 = 0, 4*t - 2*f + 4 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 5*b + 11 = 0, s = 5*b + 1 + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29541*s = -29417*s + 7936 for s.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10)\/(-15))\/((-9)\/(-27)). Suppose 0 = -5*j + 3*l - 8*l - 10, -p*j - 9 = 3*l. Solve 6*y + 18 = -j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10419 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a factor of 78011164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b**2 - 1 - 1 + b**2. Let w(f) = -5*f**2 + 2. Suppose 4*n = -5*p, -2*p + 5*p = 2*n + 22. Let d(s) = p*w(s) + 6*c(s). Factor d(g).\nAnswer: 4*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2*n + 4*n - 226 = 0, 4*m - 308 = 4*n. Calculate the greatest common factor of 1634 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/18*(24 - (-1140)\/(-40)). Let p be (18\/(-2))\/(0 - 1). Which is the nearest to p? (a) 3 (b) d (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38708964 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32870, 65901, 98932, 131963?\nAnswer: 164994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqiu when four letters picked without replacement from iulqlcqo.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -57. Suppose k*q + 19 = 39. Suppose -5*v - 25499980 = -5*z, 0 = -3*v + q + 8. What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - (3 - -65)\/(-4) is divided by 4\/(-6)*(-99)\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 25 + 38)*(2*f - f + f).\nAnswer: 98*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 6)*(-3*h + 0*h - 2*h)*(-2 - 2 + 2).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - ((-7)\/3 + -1). What is the second derivative of 9*o**4 + 9*o**5 - 19*o**n - 17*o + 10*o**4 wrt o?\nAnswer: 180*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100221322 + 12113?\nAnswer: 100300101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**5 - 7*z**5 + 2*z**5 + (929 - 929 - 143*z**5)*(3 + 4 - 5) - 2*z**5 + 5*z - 5*z.\nAnswer: -290*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*h = -6. Let z = h + 21. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 83696. Let k(s) = -10*s**2. What is o(k(f))?\nAnswer: -10*f**2 - 83696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -d**5\/75 - d**4\/5 + 14*d**3\/15 - 17*d**2\/2 - 38. Let j(g) be the second derivative of f(g). Find m such that j(m) = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 231 divide 15808592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 20 = z + z, 4*a + 125 = -0*a + 16*z + 2*z - 97 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 2 + (-1)\/1. Let s be (-5)\/2*(-2)\/j. Suppose 3*u - 95 = 4*i, 8*u + 8*i + 38 = 6*i. Sort u, -2, 4, s.\nAnswer: -2, u, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 47378*q + 6632931. Determine n(-140).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x = -220. Calculate the common denominator of 6\/(-10) + 134\/x and ((-2)\/(-9))\/((-13)\/65).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*i**3*v**2 - i**3*v - i**2*v**2 - 34*i**2*v + i*v**2 wrt i.\nAnswer: -222*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -575897 - -6329635\/11. Let z = t - -476. Solve 14\/11*r**4 - 10\/11*r**5 + 0 + 6\/11*r**3 + z*r - 14\/11*r**2 = 0 for r.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 3*t - 19, -p - 3*p = -4. Suppose -2*d + 83 = 3*l, t*l - 75 = -d + 75. What is the remainder when 92 is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (602\/(-7))\/(-3 - -1). Suppose 0 = 6*v - 197 - w. What is the greatest common factor of v and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -224414123 + 12?\nAnswer: -224414111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 4. Let v be f(0). Suppose -2*o - 2 = -0*o - v*g, o + 31 = -4*g. Let m = o - -130. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12276.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**4*y**(1\/7)\/y*((y*y*y**(2\/5))\/y)**25)**(-4\/3) assuming y is positive.\nAnswer: y**(-1096\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eoedfsshdodfeshdesss. What is prob of sequence sf?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3051935779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 268*m**3 + 988*m**2 + 1260*m.\nAnswer: 4*m*(m - 63)*(m - 5)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 4:10 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -280*r**2 + 2*r**3 - r + 7 + 136*r**2 + 137*r**2. Is d(6) a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3543057 * 3.\nAnswer: -10629171","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 5*r + 6, -4*c = 2*r - 128 + 116 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (15 - 4) - (-7 - (4 - 6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(11)) - sqrt(11))**2 + -2.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 844 + -851 - (-67)\/7\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -33.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151927 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-3)\/((-3 - 0) + 2) and 8 + (-3)\/(5 - (-96)\/(-21))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 11*k**2 - 13*k - 11. Let f be u(-12). Suppose -f = -4*j + 7. Find s such that j*s**2 + s - 3*s + 3*s - s**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (3 + (-31 - 1)). Suppose 4*v = -3*r - 13, 5*r - 2 = 2*v - 15. What are the prime factors of (q - r) + -3 - -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181*u - 49*u - 1031*u = 13*u - 33124 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2 + 0 - 4 + 2 + (2 - 2 + 1)*(-3 + 4 + 1))*(p - p - 2*p**3).\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255409.\nAnswer: 7, 11, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -33, -21, -4, 58, 5 in decreasing order.\nAnswer: 58, 5, -4, -6, -21, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2486715 and 56595.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l + 2. Let a be y(-3). What is the common denominator of -65\/6 and 34\/(-5) - 7\/a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -2*x + 352. Suppose -x*z + 20 = -310*z. Suppose -p - 11 = -2*p. Calculate the remainder when p is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/2 + 207*q\/2 - 2270.\nAnswer: (q - 20)*(q + 227)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - 2*o**2 + 2*o - 1266 + o**2 + 79 - 2*o**2 in the form k*o**2 + g*o + i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3392, -3336, -3184, -2888, -2400, -1672, -656, 696?\n\"Answer: 8*a**3 - 3400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.621 - 940.\nAnswer: -959.621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4 - 6783*o**3 + 2898795*o**2 - 425304557*o + 20959164864 = 0.\nAnswer: 149, 6336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(-2\/3)*n)\/n)\/n)**(-10\/17) assuming n is positive.\nAnswer: n**(-10\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -34 (b) -0.2 (c) -3 (d) -0.071 (e) 2 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*m**3 + 34*m**3 + 27*m**3 + 26*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49004318 and -4.\nAnswer: -49004322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50347, -181513, -400123, -706177, -1099675, -1580617?\nAnswer: -2149003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3032 - -3033. Sort c, -1\/3, 0.0336, 0.5 in ascending order.\nAnswer: -1\/3, 0.0336, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213642?\nAnswer: 2, 3, 11, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3026679, 3026678, 3026677?\n\"Answer: -i + 3026680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 3*d**3 - 28428*d + 28428*d.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4*(1 + -1 + sqrt(425) + sqrt(425)) + 2 + -4*(sqrt(425) - (sqrt(425) + -6*(sqrt(425) + (sqrt(425) + -1*sqrt(425) - sqrt(425)) + sqrt(425)))))**2.\nAnswer: -320*sqrt(17) + 435201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5\/10 + 9*g**4\/2 + 229*g**3\/5 + 372*g**2\/5 = 0 for g.\nAnswer: -31, -12, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51\/9 - -4*4\/(-24). Let f = d - 21\/4. Which is smaller: f or 13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3300112032 + -21?\nAnswer: 3300112011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 8*q - 3. Determine d(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + (-36 - -48) + -23 + -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 349669?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 3:31 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(168)\/sqrt(6)*1.\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9997942?\nAnswer: 2, 4998971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37241210, -37241224, -37241240, -37241252, -37241254?\nAnswer: -37241240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15*(-16)\/72*-300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.12365 - -0.05935. What is the third smallest value in i, 2\/13, 0.04, 0?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.08952 rounded to one dp?\nAnswer: -8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/48)\/((-6)\/(-14))*6*(-7)\/(-21)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 611 a factor of 450130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -225*j. Let h(w) = -225*w. Calculate 4*f(u) - 5*h(u).\nAnswer: 225*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 3. What is d(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -13*n - 588. Let k be u(34). Let j = 1034 + k. Solve 4\/15*y**2 - 2\/15*y**5 + 4\/15 + 2\/3*y - 8\/15*y**j - 8\/15*y**3 = 0 for y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11101 or -11100?\nAnswer: -11101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 204648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/2*15)\/(3645\/2430)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q - 16 = -u, u = -10857*q + 10861*q + 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -249 + 284. Let a(v) = -386*v - 1. Let x be a(-1). What is the highest common divisor of q and x?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -1447*m**4\/12 - 29*m**3\/6 + 121*m**2\/2 - 8701*m. What is the second derivative of a(p) wrt p?\nAnswer: -2894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -649.1534 - -0.1534. Let q = g - -649.00000691. Round q to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 27 = 2*y, 4*d + y - 123 = 4*y. Suppose -32*c + 177 = -d*c. Does 13 divide ((-3)\/6)\/(2\/(-8)) - c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 3*c + 4 + 2*c + 7*c - 11*c**2 - 1. Is 15 a factor of x(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198046 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Solve q*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-161)\/(-21) + -7)*(1 + 8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*w**2 + 2986 + 69*w**2 - 2*w + 6333 + 70*w**2.\nAnswer: 2*w**2 - 2*w + 9319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.01 - 2. Let s = -98 - -95. Let i be (-15)\/s - 38\/8. Which is bigger: i or n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 357\/27 + (-10)\/45. Suppose 52 = -0*j + k*j. Suppose 0*r + 9*r**2 - 12 + 6*r**3 + 12*r**j - 12*r - 15*r**4 = 0. Calculate r.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 530 - 237. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in centuries?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4\/7)\/j)\/j*j\/(j\/(j\/(j\/(j\/j**(-2\/9)*j)))))\/(j**(2\/5))**(-26))\/((j**0)**(-7)*j**(1\/3)*j*j*j*j**(-1)*j) assuming j is positive.\nAnswer: j**(2116\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32173.32 milligrams to grams.\nAnswer: 32.17332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 32?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00023055318 to seven dps.\nAnswer: -0.0002306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 514 - 519. Let n(c) = 3*c + 1. Let u(l) = 3*l + 1. Let h(v) = 5*n(v) - 6*u(v). What is h(w)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8846*s - 141543. Give h(-16).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 23. Let g be h(16). Suppose g = 8*o + 7. Solve -1 = -5*w + o*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 z, and 1 y when four letters picked without replacement from stsybsttzb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (21\/(-27))\/1. Let f = -35.2 + 36. Let p = f - -1.2. What is the nearest to p in l, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2. Let b(a) be the first derivative of -2*a**3 - 27. Calculate p(b(y)).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l = -28*l - 207. Let w = l + 6. Let t = 88 - w. Solve 0 = 3*i + 2*n - t, -2*i - 5*n + 15 = 2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6631*f**3 - 4*f**2 + 5*f + 32012450.\nAnswer: -19893*f**2 - 8*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -7. What is the nearest to 1 in -2\/3, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -fbb40?\nAnswer: -fbb40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 9018.\nAnswer: 9018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1634, -6586, -14834, -26360, -41146, -59174, -80426, -104884?\nAnswer: -132530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-2*j**2 + 148 + 19*j**3 - 148).\nAnswer: -38*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162, 132, 76, -12, -138, -308?\n\"Answer: -y**3 - 7*y**2 - 2*y + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 17*q**2 + 13*q - 24. Let p(y) = -2*y**3 - 35*y**2 + 26*y - 48. Let x(o) = -9*c(o) + 4*p(o). Let u be x(-14). Solve -5*d + 15 = -u for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47547458610823 minus 8?\nAnswer: 47547458610815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 33 + 1. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 1 + -11 - (3 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 22\/5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -z**4\/24 + 7*z**3\/3 + 6*z**2 - 2*z. Give k(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(119) - (sqrt(119) + -1*sqrt(119))*-6))\/((sqrt(84)*5)\/sqrt(12)*-2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + l - 135, -l - 108 = -4*y - 9. Calculate the remainder when 103 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130780104 a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/64 - ((-320)\/(-360)*-1 - (-202)\/72)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68083.6 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 16) to base 13.\nAnswer: -3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2065*b + 2*b**3 - 1032*b - 1033*b.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-4))\/(-14)*(3024\/180)\/4.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -5) + -11 + -69 + 19?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6565 to the power of 1\/2, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*13\/((-7098)\/12376).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/20 - h**3\/3 - 123*h. Let p(o) = -6*o**3 + 28*o**2 + 44*o. Let z(v) = 10*f(v) + p(v). Find r, given that z(r) = 0.\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)*c**4)\/(c**0*c*c**(-1\/8))*((c\/((c*c*((c*c**(2\/9))\/c)\/c)\/c))**(-6))**(-26) assuming c is positive.\nAnswer: c**(2867\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71358 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 138. Let n be s(35). Let w(g) = -37*g + 5. Let v(z) = -35*z + 4. Let l(b) = n*v(b) + 3*w(b). Find the first derivative of l(j) wrt j.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 564 - -416. Is d a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**3\/3 - 4*o**2 + 5*o + 1. Suppose -24 = -j - 2*j. Let c be a(j). Solve 5*q = -2*t - 25, -c*t = -q + 3*q + 10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 12 = w, -4*w = 3*u - 68 + 86 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.021 and -0.1.\nAnswer: 1.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) - (sqrt(88) - (sqrt(88) - 4*-2*sqrt(88)))) + 1*(sqrt(88)*-3 + sqrt(88)))\/(5*sqrt(32)\/sqrt(4) + (sqrt(128)*1 + sqrt(128) - sqrt(8))).\nAnswer: 7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -657, -1247, -1863, -2517, -3221, -3987, -4827, -5753?\n\"Answer: -2*p**3 - p**2 - 573*p - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42.9 + 43. What is the nearest to d in -0.5, 1\/77, -0.4?\nAnswer: 1\/77","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1552 + 9668 = 2*v. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/9)\/d**(-1\/4))**(1\/68) assuming d is positive.\nAnswer: d**(25\/2448)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-5))\/((2\/(-7))\/((-1975)\/395))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1312595328 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/50 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17027 + 16858.83. What is r rounded to 0 dps?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162bbb5 (base 13) to base 8\nAnswer: 33165107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206545*-3.\nAnswer: -619635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10561 and 30251.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 76067395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from zzzzhzhzzzwzzzhwwzz.\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*f + 20, 0 = 3*f - 39*h + 44*h + 26 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 + 173 = 5*p, 4916 = 4*m - 2*p. What is the highest common divisor of 90 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + (-130 - -137)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, -3, -15, 8 in ascending order.\nAnswer: -78, -15, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12 + 1136\/96)*-2. What is the nearest to 0.1 in i, 111, 4\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 11*d + 18*d + 3. Let l be q(1). Suppose 4 = 2*m, -279 + 19 = -l*i - 2*m. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 602*i**2 + 19*i + 53. Is j(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641197771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -45*t - 108. What are the prime factors of j(-6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11101 (base 2) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*g**2 + 170672*g - 170672*g + 16*g**3)*(-g**2 - 7*g**2 + 2*g**2)*(1 - 3 + 4).\nAnswer: -192*g**5 + 744*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 515?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -17*u. Let p(j) be the third derivative of -j**4\/24 - j**2 - 11. What is v(p(d))?\nAnswer: 17*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1435 and 23231215.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (17 + (-6 - -37))\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -11, -1, -2.\nAnswer: -11, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(-j + j + j)*(-7*j**2 + 5*j**2 - 17*j**2).\nAnswer: -38*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45406.\nAnswer: 2, 73, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 6\/157 in descending order.\nAnswer: 4, 1, 6\/157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 15.95 * 0.1201\nAnswer: 1.915595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1074 - 1093 - (-1 + 7) - -145\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 - 104758748936.\nAnswer: -104758748985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2146933? (a) 1 (b) -1 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7078 is divided by 1001?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000037391 to 7 dps.\nAnswer: 0.0000374","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -76 (b) 0.3 (c) -790\/13 (d) -2 (e) -6\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48047*m**2 - 60682.\nAnswer: 96094*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912 - -0.04103.\nAnswer: 912.04103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 478152 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 461405 is divided by 32957.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 6, 1, -0.06?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 62756616?\nAnswer: 62756615.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*g*v**6 - 5*g*v**3 - 2*g + 2*v**2 - 63 wrt v?\nAnswer: 960*g*v**3 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -4*y - 20. Let s(i) = 2*i - 19. Calculate 5*c(f) - 6*s(f).\nAnswer: -32*f + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -8 (c) -3 (d) -7\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43856 by -6196.\nAnswer: 10964\/1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 8, x: 1, y: 7, m: 4}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/6)\/(6\/8). Suppose 54 - r = 4*o. Suppose o = 3*a - 29. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 30*v. Let i be l(1). Suppose -2*c - 5*a = -80 + i, -5*c = 2*a - 104. Calculate the highest common factor of c and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/162 and 77\/34182.\nAnswer: 34182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 4*r**2 + 9594588*r + 172701288 = 0?\nAnswer: -2398629, -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97508839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41354 (base 6) in base 2?\nAnswer: 1010110100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 5)*(-5 - 11 - 8)*(-2 + 2 + 1)*(-483 + 368 - u + 0*u) to the form r*u + d and give d.\nAnswer: -5520","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cecccccch. Give prob of picking 4 c.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = 0, 4*w + w = 3*r - 70331. What is the highest common divisor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 400 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i - 16. Let u(g) = 20*g + 40. Give -12*j(z) - 5*u(z).\nAnswer: -4*z - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64814.3 tonnes to nanograms.\nAnswer: 64814300000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 7*o = 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of 0*g + 1\/24*g**4 - 34*g**2 + 2\/3*g**3 + 0. Let k(p) = -p - 1. Determine -2*k(z) - s(z).\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 247 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 55. Suppose -d = 4*c - 3, 4 = -3*c + 3*d - 5*d. Suppose 108 = c*q + q. Calculate the highest common factor of t and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 5. What is the tens digit of (-1 + 4\/2)*(-74)\/v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3 - 15. Solve 2*y + 4*s + x = 1, -5*y + s + 17 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + p + 850063*p**2 - p - 850579*p**2.\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*q - 131, -v - 4*q - 13 = 18. Suppose -92 = 2*k + 22. Let l = v - k. Is 6 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-25 - -12) + (-1 - -27)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p**2 + 19*p + 33. Determine o(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1296821, 1296923, 1297025, 1297127, 1297229, 1297331?\nAnswer: 1297433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -146668*d + 4. Let w be (-23)\/(-7) + (-6)\/21. Let p be z(w). What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)\/(sqrt(64) + sqrt(4)))\/sqrt(2))\/(2*sqrt(405)))**2.\nAnswer: 1\/4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -571 - -1147\/2. Let w(n) be the second derivative of f*n**2 + 3\/5*n**5 + 0*n**4 + 0 + 0*n**3 + 6*n. Differentiate w(c) wrt c.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k**2 - 50*k + 23. What is o(-7)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5818, 5845, 5906, 6013, 6178, 6413, 6730?\n\"Answer: 2*d**3 + 5*d**2 - 2*d + 5813","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 18933 divided by -3\nAnswer: -6311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from {x: 2, w: 8, g: 2, k: 5}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - h = 3, 118 = 3*g - 3*h + 121 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 39460, 157856, 355190, 631462, 986672, 1420820, 1933906?\n\"Answer: 39469*j**2 - 11*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/12 + (-1)\/(-3). Suppose 3*u + l*u = -4*b + 2155, -3*u = 4*b - 1293. Suppose -5*i + 6*i - u = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1099 + -1096. Solve h = -a - i, -6*h + 4*a + 13 = -11*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 13*v**2 + 11*v + 20. Suppose -21 - 6 = -3*f. Suppose -22 = -3*t - 5*k + f, 3*k + 15 = t. What are the prime factors of g(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(35\/(-57) + 8\/12).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13798 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -128 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*(i**3*i)\/i))\/i**(8\/7))\/(i**(-4)*i*i*i**1) assuming i is positive.\nAnswer: i**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - 189\/(-35). Suppose 4*o = n - 11, -y*n + 2*o + 7 = -4*n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.3073674l?\nAnswer: 307.3674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.5 (b) -34 (c) 2\/3 (d) -329\/19 (e) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(57))\/sqrt(3))**2 - (sqrt(38)\/(sqrt(10)\/sqrt(5)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1023930297?\nAnswer: 3, 13, 47, 79, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*t + 1 = 0, 0*t = -2*t. Let w be ((-1)\/6)\/(20\/(-12)). Is a > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 157 (base 9) to base 14\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1307*k - 2480*k - 1161*k - 2163*k - 2733*k to f + o*k and give o.\nAnswer: -9844","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 3\/2 (b) 0.0925 (c) 682 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*g - 10*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*k + 12*k - 110 + 37)*(-k + 4*k - k)*(-3*k + 0*k + 2*k).\nAnswer: -4*k**3 + 146*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-145)\/(-29)*((-1728)\/80)\/(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -7 + (8 - -5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -4970*h**2 - 4*h + 3245. Let w(d) = 4974*d**2 + 5*d - 3247. Let b(f) = 5*q(f) + 4*w(f). What is the first derivative of b(p) wrt p?\nAnswer: -9908*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y. Suppose 48 = 3*t + 3. Suppose -c - j = -4*j - 13, 0 = -5*c - 5*j - t. Let n(o) = o - 2. Calculate c*n(l) + 2*g(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 275)\/(14\/(-5)). Let q = y - 99. Sort -2, q, 1\/7 in descending order.\nAnswer: 1\/7, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 145 + 22. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d, 2923757 = 4*b - 2*d - 4238589. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 616031\/64170 + 1\/64170. What is c in 0*c + 4\/5*c**3 + 0 + g*c**2 = 0?\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -w - 3*t, -5*t + 9*t = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26335201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*h + 92, -8*u + 3*u = -5*h + 235. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -260.1 (b) 0.1 (c) -2 (d) 1 (e) -45 (f) 0.4 (g) 2\/47\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/10, -13, -2.504, 5, 9 in decreasing order.\nAnswer: 9, 5, 3\/10, -2.504, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**10\/37800 + c**6\/60 - 3*c**5\/20 - 9*c**2. Let p(v) be the third derivative of l(v). What is the derivative of p(w) wrt w?\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166 + (-17 + 3 - 11) - 11\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 7:45 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*m + 10 = 0. Let z = 5.9 + 3.3. Let v = z - 9. Is m greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54240 - 205223?\nAnswer: -303503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64883, -129733, -194581, -259427?\nAnswer: -324271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 + 114. Suppose -o + i = 4*o. Solve -3*x = o, x - 4 = -5*k + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the second derivative of 3559*x**4\/12 + x**3 - 369*x**2\/2 - 11*x - 75. Find the second derivative of s(i) wrt i.\nAnswer: 7118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*r + 2*y + 5, 0 = -2*r + 5*y + 3. Let f be (r + (-15)\/3)*11. Are f and -8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2700 = -36*x + 18*x. Suppose -154 = 5*f + 2*l - 29, 5*f = 3*l - x. Is -26 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/k**(-1\/3)))**41\/(k\/(k\/(k**(-1)\/k)))**(-28\/5)*(k**0)**(-48)\/(k\/(k\/k**2)*(k**(-2\/13)*k)\/k) assuming k is positive.\nAnswer: k**(-5209\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqxldmsmd. Give prob of sequence qqld.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5666285 millennia in years?\nAnswer: 566.6285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -49*a**4\/6 + 574*a**3 - 15129*a**2 - 3*a + 95. Factor p(o).\nAnswer: -2*(7*o - 123)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*204\/136*(-32)\/18.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2, 1, -0.3, 1\/27 in decreasing order.\nAnswer: 1, 1\/27, -0.3, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128*z**3 + z + 486?\nAnswer: 384*z**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*f - 5*k + 15 = -649*f, 3 = -3*f + 5*k for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -38.78 + 0.78. Let c = -38 - w. What is the nearest to -2\/3 in 2\/11, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(2\/2 - 1). Suppose y - 4 = -b. What is the first derivative of -2*n**4 + 2*n**y + 0 - 3*n**4 - 3 wrt n?\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -r - 3*m, -5*r + r + 22 = -5*m. Is 7 a factor of -5*(8 - 50)\/(10\/r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - r + 24 = 0, 0 = 27*j - 23*j - 15*r + 44 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -19*z - 17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/(4\/784). Suppose -130 = -5*i - 5*p, -22 = 3*i + 5*p - d. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -182420807226.1\nAnswer: -182420807220.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -22. Let w = i - -47. Solve 0 = 3*q - w*b, 3*q - b + 6 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7733 - 3067. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (199157\/(-180) - (-8)\/(-36)) + 3. Let z = -1102 - s. Find the common denominator of z and (-39)\/9*(2 + 148\/(-80)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + ((-30970)\/1292 - -14)\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g - 1. What is b(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13016?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73528 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/7, 0.18, 1461, 71\/5?\nAnswer: 71\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 710755?\nAnswer: 5, 142151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/8)\/(10\/(-6)). Let i = -3\/980 - 417\/980. Let l = -0.8 - 0.2. Which is the closest to 2? (a) i (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(18) - sqrt(18))*4 - sqrt(18))\/(-2*sqrt(6)*2).\nAnswer: 13*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + i)*(-4 + i + 4) + 197*i + 38*i**2 - 197*i + 3*i**2 - 3*i**2 + 7*i**2.\nAnswer: 44*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 - 274 - 5*o + 7*o**2 + 89 + 89 to the form z*o**2 + a*o + h and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*p = -3*o - 507, -o = -1. Let i be 14\/91 - p\/(-13). Find the third derivative of -2*b - 2*b**2 + 2*b - 8*b**6 + i*b**2 wrt b.\nAnswer: -960*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of u**5\/10 - u**2. Let v(n) = -4*n - 12. Let c(d) = d + 2. Let x(a) = 6*c(a) + v(a). What is x(g(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 50*d - 1. Let t(a) = -120*a + 1401. Let v(w) = t(w) - 12*y(w). Find the first derivative of v(p) wrt p.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370164793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/6 + 101779*v**3\/2.\nAnswer: v**3*(v + 305337)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -252.51 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**3 - 8*k**2 - 8*k. Let y(z) = 5 - 5 + z**2 + z + z**3. Let q(t) = 9*t**2 + 166*t + 112. Let j be q(-18). What is j*y(o) + 5*d(o)?\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -11442000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*m - 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 7*h = 44, 36 = g + 3*h + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181.6087 centuries to decades.\nAnswer: 1816.087","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 13 - 5*l**2 + l**2 - 8*l + l**2 + 2*l**2. Let f be q(-9). Suppose -2*n + 7*n = -5*w, -4*w + f*n + 40 = 0. Solve w + 0 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubbb when four letters picked without replacement from {u: 5, b: 8}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixteenth of a day?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1050*w**4 - 2*w**2 - 151.\nAnswer: 25200*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 119768 and 29942?\nAnswer: 119768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-5 + -3 + 6) - -30) + 0\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19515*22.\nAnswer: 429330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 5*r**2 + 4*r + 7. Determine h(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3132)\/(-21) + -1*1\/7.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 79753, 319477, 719017, 1278373, 1997545?\n\"Answer: 79908*s**2 - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-13) + (-150)\/(-39). Suppose -m = o - 2, -4*m + d*o + 10 = -2*m. Solve 0*w - 3 = -m*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-60))\/((-57)\/(-456))*78\/4*3.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/9 and 9\/398705 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(60\/16)*5255\/12612. Find s such that -5\/3*s**3 - 2\/3*s**4 + 4\/3*s + l*s**5 + 10\/3*s**2 - 8\/3 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123252 (base 6) in base 5?\nAnswer: 323440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7013.134789 and 71206.\nAnswer: 78219.134789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2361, -8\/11, 14 in decreasing order.\nAnswer: 2361, 14, -8\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 greater than 53.269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -536482*a**2 + 733514 wrt a?\nAnswer: -1072964*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4708864*u + 8*u**2 - 4708864*u + 0*u**3 - 9*u**3.\nAnswer: -9*u**3 + 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4\/13 (b) -2 (c) -1\/2 (d) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -4, 25, -252, -2\/3, -0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0 + 5 = h, 5*h = -p - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185.747 - -222.7234. Let s = 0.1583 - 37.1583. Let o = s + n. What is o rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 678*d**2 + 683*d**2 + 0.\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2290 by 5.\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 2\/309, 3 in decreasing order.\nAnswer: 3, 2, 2\/309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 18*r**2 + 9*r + 72. Let k be p(-18). Let b be 16 - ((-6)\/10 - k\/25). Calculate the greatest common divisor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1700*s + 1703*s - 2502 = 0. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*w**2 + 22*w - 22*w + (-2*w + 1 - 1)*(0*w + 0*w + 2*w))*(w**2 - 2*w + 2*w).\nAnswer: -24*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1202 + 1210. Calculate the remainder when 72 is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9 and -3829.\nAnswer: -3820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 - 12 = -2*l - 4*s, -5*s = -20. Let n = -121 + 150. Suppose -n*j + 5*j = -192. Calculate the lowest common multiple of j and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -212*k**2 - 276*k - 347 + 697 - 350 - 62*k**2 + 2*k**3.\nAnswer: 2*k*(k - 138)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - l = 105, -3*l = 3*k - 71 - 73. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186856, 373561, 560270, 746983, 933700, 1120421?\nAnswer: 1307146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**4*n**3 - 64700*j**4*n**2 + j**2*n**3 + 81*j**2 + 2*j*n**3 - j*n**2 - 15 wrt j?\nAnswer: 24*j*n**3 - 1552800*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -1 - 4 + 4 - 3*x**2 + 3 - x**3. Let k be z(-2). What is the units digit of (4 + -5)*28\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.76*-0.4\nAnswer: 1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -872.877 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1925.167 litres to millilitres.\nAnswer: 1925167","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 358664250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1977 - 2121.85. Let a = k - -141. What is a rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d - 32 = -18*d. Is -31 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/378 and -127\/833328?\nAnswer: 5833296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(17) + 1)*-4 + sqrt(85)\/sqrt(5) + 4 + 4.\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 g when three letters picked without replacement from gnggggnggngggggggg?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115602 is divided by 193?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3622*j + 5. Let t be q(-1). Suppose 5*o + 0*w + 3*w = t, -o - 5*w = -743. What are the prime factors of o?\nAnswer: 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2036853 or -2036859?\nAnswer: -2036853","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3593673 is divided by 489.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**5 + 5*q**4 - 25*q**3\/3 + 5*q**2 + 110. Let a(g) = 0. What is g?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -8.7, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-20) - (-6)\/10. What is the common denominator of n\/4 + (-805)\/(-100) and 23\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-329)\/(-245) - 24\/21. Which is the fifth biggest value? (a) -25 (b) -2.5 (c) 1 (d) r (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25200531 - 0?\nAnswer: -25200531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.6 + 57.6. Let l = 0.2 + -0.7. Suppose -26*b - 168 = 30*b. Sort -19, l, n, b in increasing order.\nAnswer: -19, b, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2\/7 - 360*t - 39552\/7.\nAnswer: -3*(t + 16)*(t + 824)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let s be n(3). Let o = s - 3. Solve -3*u - o*x - 9 = 3*x, -u = -5*x + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*l**2 - 2*l**5 - l**5 + 22*l**2)*(2 + 2 + 1).\nAnswer: -15*l**5 - 15*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*b - 9*b. Let f(x) be the third derivative of 0*x**3 + 0*x + 0 - 1\/6*x**4 + 1\/30*x**5 - b*x**2. Let f(p) = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 65*i - 60 = 0. Which is greater: 23 or i?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243378 is divided by 21?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5760))\/sqrt(8) - -2*(sqrt(5) + -1*sqrt(15)\/sqrt(3)))*-5*-4.\nAnswer: 240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17379216*s**3 - 5*s**2 - 16*s + 618.\nAnswer: -104275296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1083*a - 4*g - 2 = 1081*a, g = -a + 7. Solve 37 = 2*n + 5*q, 2*n - a*q + 60 = 27 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7179 is divided by 688?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 11 + 4 = -0 + 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39981 - 1971 = 16*u. Let t = u + 4291. What are the prime factors of t?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of -o**3\/6 + o + 2369. Let c(r) = 136*r**2 - r + 27. Determine y(c(a)).\nAnswer: -136*a**2 + a - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 8 = -0*b - 4*j, 0 = -5*b + j - 2. Suppose b = -c + 2*h + 12, h + 32 = 3*c - 4*h. Suppose 0*n = -c*n + 56. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 628434.\nAnswer: 2, 3, 34913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1899\/168323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpu when three letters picked without replacement from {u: 4, l: 2, p: 6}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 36*m**2 - 11*m. Let y be (-11)\/(-77) - (-2028)\/14. Let k = y + -156. Let a(q) = 7*q**2 - 2*q. Give k*a(c) + 2*x(c).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1) + 5\/(-5). Calculate the remainder when 2146\/18 - v\/(-9) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 786*w**2 + w + 52. Let r(s) = -1572*s**2 - 2*s - 91. Calculate -7*d(c) - 4*r(c).\nAnswer: 786*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 261166\/(-9745) + ((-12)\/(-15) - 0).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001759997 rounded to six dps?\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4104*x + 238. Let f(t) = 2*t**2. Calculate h(f(d)).\nAnswer: 8208*d**2 + 238","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00234213761 rounded to five dps?\nAnswer: -0.00234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 55 = 4*c. Solve 10 - c = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 29*j**3\/6 - 1094*j. Let u(g) = 4*g - 4. Give u(i(y)).\nAnswer: 116*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 7*v**2 + 5. Let y = -70 + 65. Let p(g) = 4 - 3*g**2 + 2*g**3 - 3*g**3 - 2. Give y*p(r) + 2*i(r).\nAnswer: -r**3 + r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1345, 1356, 1367?\n\"Answer: 11*z + 1334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 17 + 9 - 125*l**3 - 15031*l + 15031*l.\nAnswer: -125*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1.657727?\nAnswer: 0.657727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**3 - 76*i**3 + 74*i**3.\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.3 - -0.3. Let m = -66 - -66. Let j = -3 + 3.3. What is the nearest to m in r, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 549000 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 2:32 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 0 - 3*g**2 + g**2 + 1. Let r = -6 - -7. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109, -166, -213, -244, -253, -234, -181?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 24*v + 442. Calculate f(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 31 = -4*k + 135, 2*k - 68 = 2*d. Find the common denominator of (83\/(-12) + 7)\/((-6)\/226) and (-18)\/16*k\/99.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/4, -1\/11, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2. Let f(b) = 762*b + 206. Determine f(w(r)).\nAnswer: 8382*r**2 + 206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 62 = -0. Suppose -5*g + 22 = 30*k - 28*k, 2*g = 5*k - 113. Calculate the remainder when s is divided by k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 + 6*x**2 - 5*x + 3. Let z be u(5). Suppose -q - z*v = -6*v - 190, 760 = 4*q - 2*v. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-184)\/(-12) - (-3)\/(-9). Let j be -32*k - (-1 + -1). What is the common denominator of 35\/9 and (-10)\/15 - j\/60?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36667277240 take away 771?\nAnswer: 36667276469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1590 and 76140?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 12, 60, 122, 186, 240, 272, 270?\n\"Answer: -2*q**3 + 19*q**2 + 5*q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {g: 2, f: 3, i: 15}.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7168 - -35074508\nAnswer: 35067340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u - 4 + 2*u**2 + 2*u - u. What are the prime factors of a(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2070, -2067, -2062, -2055, -2046, -2035, -2022?\n\"Answer: u**2 - 2071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -18270000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -283 and -0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/18 - (0 + 0). Let g = 67.95 - 68. Let f = 0.35 - g. Which is the closest to l? (a) f (b) -5 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**3\/9 - 346838*u**2\/9 - 5012416066*u\/3 - 1670766818 = 0.\nAnswer: -86709, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/7)*x**(1\/25))**7 assuming x is positive.\nAnswer: x**(82\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 3*c + 9*c - 3*c + 6*c - 5*c + (-2*c - 3*c + 4*c)*(-5 + 1 + 3).\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 55*h**2 + 325*h - 9045. Calculate i(58).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c - 5. Let i(n) = n + 3. Let u be i(3). Suppose 0 = 2*q - 4, q - 5 = 3*m - 0. Let k(x) = 39 - 77 + 37. Calculate m*f(r) + u*k(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-63)*(13 - 19\/2)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -57207.\nAnswer: -57209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) 0.5 (d) 43 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152351 (base 6) to base 2.\nAnswer: -11100111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*o**3 - 7073*o + 13554*o - 6481*o.\nAnswer: -37*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 11*k - 14. Let m be y(10). Let f(b) = -b**3 - b - 10. What is the units digit of f(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + -6 - (4 + -6))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/9 and 41\/2225167.\nAnswer: 20026503","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 3*t**2)*(4*t**2 + 0*t**2 - 2*t**2 - 2*t**2 - t**2 + t**2 + (-t - t + 0*t)*(1 + 2*t - 1) - 2*t**2 + 4*t**2 - t**2 + 5*t**2 - 7 + 7).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -510 (base 8) to base 13\nAnswer: -1c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 55 = 11*d, 0*k - 2*k - 584 = -2*d - 1193 + 591 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 14. Suppose 2*j + s*u - 2 = 18, 16 = -2*j + 4*u. Solve 0 = -2*l - 4*f + 4, j = -2*f - 0*f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0397649 and 0.3733.\nAnswer: 0.3335351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310 + 62 = -92*q - 640 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128 and 304.\nAnswer: 2432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 132*n**2 + 100*n**2 - 4*n - 69 + 131*n**2 - 356*n**2 in the form l*n**2 + m + d*n and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 6:09 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -390.4 - -390.2. What is the closest to g in 0.3, 439, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i - 87. Suppose 5*c - c - 69 = w, i = 4*c + 5*w. Calculate the lowest common multiple of ((-45)\/12)\/((-9)\/(-28) - (-8)\/(-14)) and c.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 728 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -35 (b) 0.7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72800 - 47480. List the prime factors of y.\nAnswer: 2, 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 - 15. Let q = -4 + c. Suppose g = 7 - q. Solve 0 = -j - 6 + g for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1256, -1255, -1260, -1277, -1312?\nAnswer: -1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4015, -7920, -11819, -15718, -19623, -23540, -27475, -31434?\nAnswer: -35423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + 9*w + 2*w**2 - w**4 - 3*w**2 - 11*w to the form x*w + j*w**2 + i*w**4 + h + d*w**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a decade in years?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(187)*-1 + sqrt(187) + sqrt(187)) + sqrt(187))\/((sqrt(11) + sqrt(44)\/sqrt(4))*5) - (-2*sqrt(1666))\/(sqrt(32) + sqrt(288)))**2.\nAnswer: 16337\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -23. Suppose c*y - 135 = -y + 2*z, 74 = 2*y + 4*z. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_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: Let k be -142 + (-8)\/16*(0 - 2). Suppose 0 = -11*q + 14*q - 2346. Let b = q + k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 313654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**6\/6 - i**5\/2 - i**4\/2 - i**2 + 2*i - 8. What is the third derivative of q(h) wrt h?\nAnswer: 120*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -489 = -3*z + 11*f - 8*f, f = 5. Is 7 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:45 PM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/7 + -1)*(-9 + 11)?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (6 - 3 - 7) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1265\/2277)\/((-5)\/(-6))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, -3 in increasing order.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -337 - -337. Suppose 0 = 2*b - 3*x - 65, 3*b + 0*b - 2*x - 105 = k. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10594 is divided by 104.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, -1\/3, 0.14, 2\/15, -3, 60?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 10243?\nAnswer: 10245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -360\/1651 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:34 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2514789924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q - 8. Let n = 8 - 13. Let r be h(n). Suppose -2*s = 2*y - 6, s = -r*y - 0*y - 2. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 34\/9 + 10\/45. Factor -7*f**3 - 2*f**t + f**3 + 0*f**2 + f**2 - 5*f**2.\nAnswer: -2*f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 57 = -1. Let n be x\/(-18)*(-18)\/4. Find k such that -1\/3*k**3 + 1\/3*k + k**4 - 5\/3*k**n + 2\/3 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 577001586 to the power of 1\/4, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -18. Let k = w - -32. Let b = -38.021 + k. Round b to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -5*y - 10*s + 5, 4*s - 12 = -2*y. List the prime factors of 488\/32 + 1\/y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 292*a + 2077. Determine o(104).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of r**4\/24 + 2*r**3\/3 - 5*r**2 - 11*r. Factor n(q).\nAnswer: (q - 2)*(q + 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177888656.\nAnswer: 2, 11, 239, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-5))\/(1\/(-15)). Determine j so that 3*j**2 - d*j**3 - 5 + 6*j**4 + 5 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-4)*96\/(-30)*1\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + m - 5 = 0, 99*y = 102*y - 5*m + 11 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.3, -0.1, 3331\/5, -3\/4, -0.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 + 2\/39)*(2 + (-295)\/80) and 11\/184.\nAnswer: 2392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3279586*v + 3279493*v = 1302 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (208\/8)\/(-13)*-3\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/20 + ((-7)\/(-105))\/((-14)\/(-21)). Let b(m) = 6*m**3 + 4*m**2 - 2*m - 5. Let x(c) = -c**3 - c**2 + c + 1. What is y*b(r) - 5*x(r)?\nAnswer: -r**3 + r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -9 + 21119 - (5 + -22)?\nAnswer: 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1196 and 11\/39.\nAnswer: 3588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2014*d - 5866 + 7813 - 38360 = 4815*d for d.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1428*r**2 + 1 - 831*r**4 + 0 + 3437*r**2 - 1 wrt r?\nAnswer: -19944*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -693 by 77.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -150*p**3 - 21*p**2 + 21. Let o(q) = q**3 + q**2 - 1. Give -126*o(f) - 6*s(f).\nAnswer: 774*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -27*t**2 + 20*t. Let p be i(-5). Let l = 777 + p. Solve -l*r - 6 = -0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - 1375?\nAnswer: -1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -24301.\nAnswer: 2\/24301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 4) + 37 + -13 + -9?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -146 (base 15) in base 14?\nAnswer: -16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 greater than -0.0523172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 4\/(-78))\/(74456\/(-3405) + 22)?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 - b**2 + 2*b**2)*(-4*b**2 + 7*b**2 - b**2) + 2*b**4 - b**3 + b**3 + (-5 + 1 + 3)*(-25*b**2 + 25*b**2 + 3*b**4).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1038552\nAnswer: -1\/346184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, -1, -1\/4, -0.16, -0.152, 74, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 168*t**3 - 1. Let b(z) = -z**3 - 2*z**2 - 2*z - 3. Let i be b(-2). What is the tens digit of q(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) 893 (b) 1 (c) 70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13686+-0.1\nAnswer: -13686.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12430 and 2002.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205602187.\nAnswer: 7, 1361, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.369ml in litres?\nAnswer: 0.693369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -477, -464, -461, -474, -509, -572?\nAnswer: -669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9d + -2d?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) 0.8 (d) -3 (e) -0.4 (f) -0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1524 and 9017.\nAnswer: 108204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) -0.01 (c) 0 (d) -5 (e) -62 (f) -0.1 (g) -0.144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/(-189)*-3)\/((-10)\/(-3) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -106 + 107. Let s be 1*(-3 + 4) - w. Suppose 2*b - 4*f + 318 - 1832 = s, 2*b - 1513 = 3*f. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 13*t**2 + t - 2. Calculate the remainder when 29 is divided by u(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 5 + 4, -2*a = -5*v - 99. Suppose -p + 13 + 15 = 0. What is the highest common divisor of p and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 + 19704*f**2 - 38*f**3 + 3*f**4 + 3*f**5 + 19706*f**2 + 24*f - 39416*f**2 + 11*f**3 = 0.\nAnswer: -4, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1014312*v**3 + 354144*v**2.\nAnswer: 6085872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6\/17)\/s*s**(-1\/40) assuming s is positive.\nAnswer: s**(-937\/680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2380426 decades to years.\nAnswer: 2.380426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/((-4)\/(-1)) - (-13)\/(-52). Suppose -716 = -4*u - j, u - 179 = -i*u - 4*j. List the prime factors of u.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -312*m**2 + 0*m + 0*m**3 - 1\/6*m**5 - 1\/72*m**6 + 0 + 0*m**4. Determine w so that r(w) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15309 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1778 divided by -2\nAnswer: 889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56*(-28)\/(-896)*(-20280)\/455.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m**3 + m**2 + m + 1. Let p be z(-1). Let c = -8 - 2. Let w = p + c. Solve b + b + 6 = w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/42 and -19\/80.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.58 + 0.22. Let o = 263 + -265.8. Let i = x + o. Which is the nearest to -1\/3? (a) 0.2 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32295 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0942 - 0.1058. Let l be 0 - (-3)\/((-3)\/3). Which is the third biggest value? (a) x (b) l (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78635159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*d + 28*d + d**2 + d**3 - 17*d - d**4 - 1 as q*d**3 + s + n*d**2 + a*d + b*d**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from vvggvvvv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**1*w)\/w)\/((w\/w**(-24))\/w))\/((w\/w**(-23))\/(w*w**13*w)) assuming w is positive.\nAnswer: w**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27, 0.3, -1178, 157, 0.4?\nAnswer: -1178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 3:56 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*i + 2*m, -3*i - 3*m + 7 = -2. Let x = i - -1. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 - -297. Solve n*q**2 + 8*q**3 + 0*q**2 - 9*q - 4*q**3 - 96 + 18*q - 17*q = 0.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13. Suppose s = 2, 4*b + 4*s = 2*b - 2. What is the smallest value in o, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/4*(-476)\/(-42)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -205*u + 1448. List the prime factors of p(-7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 d when four letters picked without replacement from {i: 1, j: 2, g: 3, d: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/8)\/((-49)\/28) - 395\/(-5530)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -5. What is the third derivative of -3*o**2 - f*o**3 + 3*o**3 + 4*o**5 wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74256 (base 8) in base 14?\nAnswer: -b38a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3949*a + 63325 wrt a?\nAnswer: -3949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1469 + 4548. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one eighths of a milligram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 108*c**2 - 108*c**2)*((3 - 3 + 2*c)*(2 - 1 + 0) + c + c + 3*c).\nAnswer: -7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 3. Let n be h\/(-9)*3*4. Let z = n - -20. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, -0.2, -3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -271f (base 16) to base 2\nAnswer: -10011100011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -3)\/(2 - 5)*1. Suppose c*i - 16 = -3*g - 2*i, 3*g - 28 = i. Suppose 0 = -2*d + j + 84, 134 - g = 3*d - j. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14252762\/857 - -16631. Let h = -43582\/21425 - m. What is the common denominator of h and -29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 543 = -2*k, -5*k + 370 = -3*m - 940. Let f = k - 139. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5 - 13902*y**4 - 83520*y**3 = 0. Calculate y.\nAnswer: -6, 0, 4640","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30004)\/10386)\/((-286)\/3)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/10, -0.4, 1.9, -1\/4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 + 0. Let k(g) = g - 7. Let y be k(5). Let m be (-1)\/((4 - 3) + y). Is l < m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z + z + 0*z + (2 - 1 - 3)*(7 - 7 + 5*z)*(-3 + 5 + 6) as v*z + c and give v.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.1*7.\nAnswer: -28.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**3 + 23*v**2 - 10*v + 1. Let t(w) = 2*w**3 + 20*w**2 - 8*w + 1. Give -3*n(p) + 4*t(p).\nAnswer: 2*p**3 + 11*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5418 - -5416. Which is the nearest to -471? (a) -2\/7 (b) o (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-3) - ((-2 - 1) + 1). Suppose i*t + 5572 = 8*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2\/9 + 17755\/9 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 14 = 3*x, -x = -6*x - 2*f - 17. Put 6, -4, x, 2 in ascending order.\nAnswer: -4, x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 10262.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -38*m**2 + 20. Let h(s) = -3*s**2. Determine h(q(u)).\nAnswer: -4332*u**4 + 4560*u**2 - 1200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**4\/24 + 6*m**2 - 10. Let w(r) be the second derivative of j(r). Let v(x) = 11*x. Determine w(v(p)).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3294, 3038, 2782, 2526, 2270?\n\"Answer: -256*w + 3550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -36 - (-32 + 17 - -8)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/120 + w**4\/24 - 3*w**2. Let x be q(1). Let d be 28\/49*x\/(-12). Are d and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*u**2 + 5 - 15*u**2 + 1 + 6*u**2.\nAnswer: -6*u**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -17. Which is the second smallest value? (a) u (b) 0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 267870 is divided by 133838.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -4*j + 5. Let d = 7 + j. Suppose -d*y = -79 - 13. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, -5, 62 in descending order.\nAnswer: 62, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 24476 divided by -4\nAnswer: -6119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 + 47 - 27 - -18.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) - sqrt(36)\/sqrt(2)*6)\/(sqrt(486)*1))**2 - ((sqrt(3888) + sqrt(3888)*-1 + -5 + sqrt(3888))*3)**2.\nAnswer: -950834\/27 + 3240*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -172, -5, 26, -4, 159 in decreasing order.\nAnswer: 159, 26, -3, -4, -5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**5 - 5*k**4\/2 - 5*k**3 + 33. Factor c(g).\nAnswer: 5*g**2*(g - 3)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o + 33*o - 3*c = -292627, 4*o - 292587 = 5*c. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022832 is divided by 3452?\nAnswer: 3412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.072822004?\nAnswer: 0.218466012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -1\/34, -0.1, 7, 1, -0.15?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z - 2*k - 4, 31 = -3*z - 3428*k + 3430*k for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 511811983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2613, 2575, 2513, 2415, 2269, 2063?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(432))\/(sqrt(4)*-1*-2).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 455, 543, 667, 827, 1023?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**5 + 5*c**5 - 3*c**5)*(-363 + 342 - 308 + (0 + 4 - 3)*(-3 + 5 - 1)).\nAnswer: -328*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chmab. What is prob of sequence ch?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 719005 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -19779434.1 to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 137909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) + 0)**2 + 5)*-1 - (((sqrt(288) + 0 + sqrt(288))*1)**2 - (sqrt(288)*1 + -4)).\nAnswer: -1449 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -18, -56?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)\/(o*o**(2\/3)\/o))\/(o**(-2\/21)\/o**(9\/5)) assuming o is positive.\nAnswer: o**(1059\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 2:41 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**5 + f**4 + 15*f**3 + 23*f**2 + 10*f.\nAnswer: -f*(f - 5)*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4*p - 308 + 84 = 0, 2*p + 222 = -5*y. Let f = 490 + y. Is (-3)\/(-6)*(0 + f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 3*z**5\/20 - z**4\/12 - 2*z**3\/3 + 2*z**2 + 40*z. Let p be x(1). Let j be p\/(-12) - (-8)\/48. Solve j = f - 6*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 6. Let q(b) be the first derivative of 7*b - 24. Give 2*q(u) + 3*s(u).\nAnswer: -3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10165832 (base 9) to base 3.\nAnswer: 100012012221002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.34 (b) -0.03 (c) -4 (d) 5 (e) -0.5 (f) -3 (g) -10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o**2 + 3 - o - 2*o - 2*o**2 + o. Suppose -28 = 4*r - y, 5*r + 4*y = -0*y - 14. Let i(z) = z**2. Give r*i(l) + d(l).\nAnswer: 2*l**2 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137792 divided by 16.\nAnswer: -8612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25329*i**4 + 55*i**3 + 49730232*i**2 wrt i.\nAnswer: 607896*i + 330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-13 + 8 + 11)*(-2 + 2 + 1) - 1 + 1 + 2 + (-1 + 0 + 3)*(-3 + 3 - 1))*(0*n**5 + n**5 - 4*n**5).\nAnswer: -18*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5191*(-4)\/(-8)*-78. Let r = -376449 + q. What is r rounded to the nearest 10000?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by -2.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 379*a + 15307 + 12360 = 0 for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 + 206765647*u - 206765647*u. Let a(z) = -20*z**2. Determine a(k(s)).\nAnswer: -500*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**3 - 2*z**2 + 2*z - 1. Let n(b) = -b - 2. Let v be n(-3). Let j = 3181 - 3178. What is the lowest common multiple of j and d(v)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27720 by 2310.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**2 - 5*y. Let q(b) = 5*b + 2*b**2 - 8*b + 5*b. Let g(f) = -2*k(f) - 5*q(f). Let w(x) = 8*x. Calculate g(w(j)).\nAnswer: -128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 9:40 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from {r: 5, e: 2, z: 2, g: 1, p: 7, d: 3}?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 57572 = 58122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.020665468 to 5 dps.\nAnswer: -0.02067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*d - 9 = 0, -t + 4*d + 13 = 28. What is the remainder when 29 is divided by (t\/(-1))\/((-60)\/(-160))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 267 (base 8) to base 2\nAnswer: 10110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 9*c + 1. Let o be a(8). Let x be -5 + 5 - 6\/o. Is 2\/3 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29771791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 693 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (0 - (0 - -3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 - 144.985. Let q = -0.015 + r. Suppose -5 = -2*t - 1. Which is the third biggest value? (a) t (b) 0.1 (c) q (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35636833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 530\/(-2597)*2072\/370?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 567*a - 2*m = 568*a - 299, 915 = 3*a - 3*m. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 299 = 60*p + 883. What is the biggest value in -51, -0.4, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/10439 and 40\/11?\nAnswer: 10439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4712 and 38936?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19 (b) -33 (c) -15 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 9. Let d(i) = i**2 - 86*i. Calculate g(d(c)).\nAnswer: -4*c**2 + 344*c + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of 1\/3*t**2 + 5\/4*t**4 + 0 - 13\/12*t**3 - 98*t + 5\/24*t**5. Factor h(k).\nAnswer: (k + 4)*(5*k - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3.231683 weeks?\nAnswer: 542.922744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43363314491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9108 and 259923?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4420080 or 4420079?\nAnswer: 4420079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f + 49. Let i be o(16). Let p = i - 174. Let g(y) = -4*y + 12. List the prime factors of g(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m. Let b(v) = 5*v. What is -4*b(i) + 15*h(i)?\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 - 53*g. Let h(m) be the first derivative of -2*m**3\/3 - 467. What is u(h(q))?\nAnswer: 8*q**4 + 106*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2591, 5333, 8377, 11873, 15971, 20821, 26573, 33377?\nAnswer: 41383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559782077?\nAnswer: 607, 922211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 10 - 19*i - 11 + 36 - 12 to t*i + u and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1381*v = 1384*v - 1548. What is the least common multiple of v and 42?\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(1\/1)\/((-39)\/195)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662 (base 11) in base 15?\nAnswer: -96a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**2 - 3643*j - 36640. Determine v(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 - 358*g**2 - 25 - 27 + 70 as j*g + a*g**2 + t and give a.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35c987 + -6?\nAnswer: -35c990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5445, 3\/83, -4, 0.1?\nAnswer: 5445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308226 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 3*w**2 - w - 7. Let a(h) = -2*h**3 - 4*h**2 + 2*h + 7. Determine -3*a(z) - 4*t(z).\nAnswer: 2*z**3 - 2*z + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p + 24*p - 13*p + 0*p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*p + 1547 = 12*p - 70*p for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1906a98 (base 14) to base 12\nAnswer: 419533a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 19307 = -5280. What is the remainder when k is divided by 338?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*u + 19. Let d(l) = -l**2 + 7*l + 5. Let b be d(u). Suppose b*o + 0 = 4*g + 70, 3*o = -4*g + 42. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 + 52. Let p = q - 12. Suppose 12*b - p = 11*b. Solve 6*i + 2*x = 2*i + 14, -b*x + 6 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -290, -439, -592, -749, -910, -1075?\nAnswer: -1244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**2\/8 - 260295*w = 0.\nAnswer: 0, 2082360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.035 - -4.035. What is the biggest value in -3, -5, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3358, 3916, 4462, 4990, 5494?\n\"Answer: -x**3 + 565*x + 2794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/75 and 1\/3120.\nAnswer: 15600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -4*b - 7. Let y = 2 + 0. Let w be (3 - 2) + 3 + 3 + -2. Let j(f) be the first derivative of f**2 + 3*f + 8. Calculate w*j(n) + y*i(n).\nAnswer: 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1329*s**2 - 139*s + 1. What is g(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/634667?\nAnswer: 2\/634667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + j**2 - j**2 + (-2*j**2 + 3 - 3)*(-2*j + 0 + 0) + (2*j - 2*j - 5*j)*(-2*j**2 + 1 - 1).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 43*y - 80. Let h(k) = 16*k - 26. What is -4*b(j) + 11*h(j)?\nAnswer: 4*j + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 + -153.8. Which is the closest to 1\/9? (a) -2\/9 (b) y (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(28\/5)*(f*f**(1\/25))\/f)**(-2\/7) assuming f is positive.\nAnswer: f**(-282\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 + -8. Suppose 14 = -20*h + 27*h. Suppose 5*f = h*o - 36, 13*o = 16*o + 4*f - 8. Calculate the least common multiple of o and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2183, 4275, 6367, 8459?\nAnswer: 10551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 230741207 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11844, -12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-3))\/(3*(-1)\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39 - 40. Let b = u + -1.23. Let m = 2.23000342 + b. What is m rounded to 7 decimal places?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/3 - 3151540*l\/3 + 3151538\/3 = 0 for l.\nAnswer: 1, 1575769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319923 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110 - -10011?\nAnswer: -10011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 600474*q**2 + 131175*q + 1 wrt q.\nAnswer: 1200948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*i**4 + 5*i**4 - 31*i**4 + (-6*i**2 + 5*i**2 + 0*i**2)*(4*i**2 - 6*i**2 - i**2).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -53*h + 97*h - 3 + h**2 - 46*h. Let s be y(5). What is the highest common factor of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -14*h + 156. Let s(n) = -2*n**3 + 52*n**2 + 3*n + 4. Is 3 a factor of s(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 1, l: 1, n: 2, i: 4}. What is prob of sequence lnf?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.29 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -12b (base 12) to base 7\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**3 - 2*k**2 - 24. Let s be w(-4). Let r = s - -1671. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z**3 - z**3 + 5*z**3 + 5293.\nAnswer: z**3 + 5293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -5*k + 2*k + 2*p, 3*k = -3*p - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*t**3 - 558758*t + 558758*t.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*z + 7*z + 3*z + 5*z as t + k*z and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61835 = 3830*p + 105711 + 108214 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 3:43 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15621\/16811 or -1?\nAnswer: -15621\/16811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1499*t**4 + 9*t**3 - 5*t**2 - 66*t - 2?\nAnswer: -35976*t + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 4015*f - 24270.\nAnswer: 5*(f - 6)*(f + 809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) + (sqrt(252)\/sqrt(4))\/sqrt(9)) + (sqrt(35) - (sqrt(35)*4 + sqrt(35) + sqrt(35)))\/sqrt(7)*-3.\nAnswer: 31*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, -2*i + 67 = -4*l + i. Let z be (-192)\/(-234) - (-2)\/l. Let t = 711\/8 - 89. What is the biggest value in -3, z, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -808, -631, -458, -289?\n\"Answer: -2*c**2 + 183*c - 989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*v - 0*a + 3*a, 5*v + 2*a + 95 = 0. Let k = -11 - v. What is the units digit of (-1 - -3)\/(k\/21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17000123*a**4*n - 9824638*a*n - 3 wrt a?\nAnswer: -204001476*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -215*r**3 - 666*r**3 - 274*r**3 - r**2 + 4*r**2.\nAnswer: -1155*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -70 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/435915 and 19\/972?\nAnswer: 15692940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2. Let u(w) = 1 - 10*w**2 - 2*w - 2*w**2 + 0*w**2. Let m(h) = -4*s(h) - u(h). Is 4 a factor of m(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (2 - -3 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jgj when three letters picked without replacement from {b: 2, g: 3, t: 3, j: 7}?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 - 21. Suppose 4*y - 94 = v - 2*v, o*y = -v + 84. What is the remainder when v is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 0, -3*p + 38 + 52 = -5*f. Let v = 6271 - 6271. What is the second smallest value in v, f, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13824 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/5)*l*l\/l**(-1))\/(l*l*l**(-10)*l*l**0) assuming l is positive.\nAnswer: l**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-4*i**2 - 3*i**4 + 4*i**2) + i - i**4 - i + 2*i**4 - 3*i**4 + 2*i**4 + (3*i + 81 - 81)*(i**3 + i - i).\nAnswer: 6*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (14 - 4\/(-4)). Let f = x + -8. Suppose 3*t + 2*u = 19, 3*u = -f*t - 0*u + 31. Calculate the remainder when t is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -7*r**4\/2 - r**3\/3 + r**2\/2 + 11. Let g be d(1). What are the prime factors of (-2210)\/(-91) - (-4)\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4 - -1)\/(6\/1080). Let w be n\/27*(-6)\/(-5). Solve i = 2*q - 1, -w = 2*i - 3*q - 2*q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*s**3 - s - 46*s**3 - 3*s + 3*s**3 - 3*s**3 + s**3 + (s + 3*s - 2*s)*(-s**2 - 3*s**2 + 3*s**2) - s**3 + 0*s**3 - s**3 + s - 2*s**3 - s.\nAnswer: -7*s**3 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from ywv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12744)\/(-2655))\/((-4)\/(-5)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2802 and 1.47?\nAnswer: 2800.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3341 + 5490. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5085 rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49485999 and 603?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3359233 + 3359235. Let v = -0.1 + 0.1. Let d = 1.5 - 2. What is the nearest to t in 1, d, v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*f + 2)*(-3 + 0 + 2) + 3*f + 0*f - 5*f + (-f + 5*f - 2*f + (f + f - f)*(-1 + 2 + 10))*(1 - 10 - 7)*(-2 + 0 + 1) to a*f + w and give a.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55430?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*w - 5*r, -5*w - r - 30 = -10*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 minus 40.1?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.126 + -8.826. What is the third biggest value in 1\/7, 4, q, 48?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -11*p**3 - 4*p**2 - p - 2. Let b be m(-1). Let c(i) be the first derivative of i**3\/3 - 3*i**2 + 7*i - 1. Determine c(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in nine tenths of a centimeter?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n**5 + 832*n**4 - 4336*n**3 - 219672*n**2 - 867996*n + 2070360 = 0. What is n?\nAnswer: -71, -9, 5\/3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Find i such that 3*i**5 + 132*i**4 - 348*i**3 - 3312*i**2 = 0.\nAnswer: -46, -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-14)\/(-4))*14. Let s = 0 - -5. Is a bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 - (-2 - 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 206181 take away -568.9793?\nAnswer: 206749.9793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/8129 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 942, 1885, 2816, 3729, 4618, 5477, 6300, 7081?\nAnswer: 7814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 10*a**2 - 9*a + 3. Let j be m(9). Let q be j\/(1\/((-2)\/(-3))). Suppose -q*b + 2*g - 10 = 0, 2*b - 2*g + 10 = -3*b. Solve b*d = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 522 minutes after 6:24 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27078287 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3644, -3639, -3626, -3605, -3576?\n\"Answer: 4*y**2 - 7*y - 3641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -n**4\/4 + 13*n**3\/3 - 18*n**2 + 61*n + 5681. Calculate b(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/43, 0.2, 27, 6550 in descending order.\nAnswer: 6550, 27, 10\/43, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + w**2 + 6. Let g be n(2). Solve -8*m + g = -7*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*d - 6*d - 9*d - 9*d + 31*d.\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2241 (base 7) to base 9\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1 (b) -5 (c) 0.9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k + 8 = 41*k - w, -5*k + w - 6 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 8, k: 2, f: 2}. What is prob of sequence kf?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2730*k. Let v(b) = -2*b. Determine i(v(a)).\nAnswer: -5460*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114 + 1. Let a = 72 + n. Round a to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3535)\/202 + 21 + -3. Which is the third biggest value? (a) -59.3 (b) 1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 8*a**2 - a + 2. Let r(k) = 9*k**2 - 2*k + 2. Let x(j) = 5*r(j) - 6*u(j). Determine x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*i = 11, -10*f = -11*f - 5*i - 8 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 119, 487, 1103, 1967, 3079, 4439?\n\"Answer: 124*u**2 - 4*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4872 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13382004?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 281 = 3*j - 320, 0 = -j + 3. What is the third derivative of 106*s**6 - 2*s**2 - 17*s - 151*s**4 - 145*s**4 + c*s**4 wrt s?\nAnswer: 12720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110 - -2212000210011?\nAnswer: 2212000210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 16. Let k be (-93)\/f + (-20)\/5. Calculate the highest common factor of 27 and k.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 - -0.1. Let s = 0.0933 + -0.0933. Is s bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -79. Let j = -56 + n. Solve -j*s + s + 4 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(4)\/(sqrt(22)\/sqrt(11))).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 374.8994 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(-3) - (-4)\/(-6). Let y = 4 + -5. Let p be (63\/9)\/28 + 17\/(-36). Which is the nearest to y? (a) x (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 + -1. Let h be (-8)\/(-28) - 794\/(-14). Suppose t*c - h = -4*n, 6 = -5*n + 4*c + 26. What is the highest common factor of n and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65378 + 65378. Let t be (-60)\/(-18)*2\/10. Which is the closest to t? (a) r (b) 1 (c) -3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 7*b, 17*b - 12*b - 7*j = -22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 691568 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11160637*n**4 + 2021854 wrt n.\nAnswer: -44642548*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -40 + 30 - 4*m - 33 - 20. Let l be x(4). Which is smaller: l or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*o + 6, -4*w + 8 = 5*o - 2*o. Solve -9 = -w*c - c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 152 and 292040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33200, -33453, -33874, -34463?\nAnswer: -35220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 69*v**3 + 4*v**2 - 4*v. Let o(l) = 2760*l**3 + 161*l**2 - 161*l. What is 161*k(d) - 4*o(d)?\nAnswer: 69*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*v - 3966 = -264*v. Does 20 divide v\/(-10) - (-48)\/60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 76\/(-32) - (-35)\/(-56).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a hour in minutes?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yu when two letters picked without replacement from {u: 1, y: 5, a: 3, w: 1, o: 1, j: 2}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (121 + 1257 - 364 + 451)*(-10 - 9*q + 10)*(3 - 1 - 1) to x + y*q and give y.\nAnswer: -13185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4 + 36. Let p(l) = -31 + g*l + 17 + 0*l**2 + 1 - l**2. Give p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/((15\/(-10))\/(-1))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40495 = -1342*p - 196167 for p.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*z + 3*g, z + 5*g - 40 = -3*z. Let k(n) = n - 1. Let r = -1 + 7. Calculate the remainder when r is divided by k(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -26, 18, 62?\n\"Answer: 44*c - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 7:44 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**2 + 0*c**2 - 9*c**3 + 10*c - 1 + 33*c**3 - 7*c to q*c + z*c**2 + f*c**3 + j and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4988 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -18884 bigger than -19339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 19*h + 17. Suppose 0 = 54*g - 152*g - 1666. Give c(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (1*2)\/(-1 - -3). Let q = 0 + g. Suppose -2*z - q = -3. What is the highest common divisor of z and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**3\/11 + 10*u**2\/11 + 44*u + 912\/11 = 0. What is u?\nAnswer: -12, -2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4293624 a multiple of 232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165635 is divided by 373?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22699 or -22700?\nAnswer: -22699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 4. Calculate c(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16047*p + 62 + 47 - 16045*p + 46.\nAnswer: 2*p + 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 6:32 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n. Suppose 0*z + 2*l - 39 = 5*z, -2*l + 4 = n. Let v(s) = s**2 + 6*s - 4. Determine v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (10 - (7 - (-8 + 9)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + w = -20, -3*f - 5*w + 37 - 25 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = w - 12. Suppose -5*a + w = -0*a. Solve -6 = -a*j + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9487 = -17*z + 9538 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85816?\nAnswer: 2, 17, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 64\/3. Let m(t) be the first derivative of 0*t**2 + 1 + 2\/5*t**5 + 0*t**4 + 0*t - w*t**3. What is the third derivative of m(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/18*(-6)\/4. Let j = 155 - 145.8. Let t = j - 12.2. Which is the closest to t? (a) 0.3 (b) 1\/2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -0*m - 5*m + 310, -5*n = 3*m - 306. Let y be (-3551)\/1219 + (-2)\/23. Put 1, n, y in increasing order.\nAnswer: y, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1070 - -1089) + (-3654)\/192?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 12 = r - 3*r, 4*q - 4*r - 4 = 0. Solve -q*d + 4*d - 4 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppn when four letters picked without replacement from {n: 14, p: 5}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from dddvugvggvvgggdvuzd.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1490 and 42955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 156\/36 + 3\/(-9). Solve -y*u = -0*u - 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 15904*z**2 + 192*z + 192. Let t(i) = -837*i**2 - 10*i - 10. What is 5*h(u) + 96*t(u)?\nAnswer: -832*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 146?\nAnswer: 146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1249*k + 4620 = 1255*k. Does 37 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/21)\/(1\/3). Let s be (-33)\/(-9) - u - 2\/3. Let d(b) = -24700002*b**2 + 3*b - 1. Let t be d(s). Round t to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*k - 278511 - 1339025 = 0. What are the prime factors of k?\nAnswer: 2, 12637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the second derivative of -o**4\/12 + 5*o**3\/6 + 27*o**2\/2 + 39*o + 6. Calculate g(9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 + c. Let q(f) = 12*f**2 + 1060*f + 69696. Let k(w) = q(w) - 4*y(w). Factor k(t).\nAnswer: 4*(t + 132)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 120 - 66. What is the remainder when y is divided by (-222)\/(-777) + 0 + 192\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, e: 2, i: 2, t: 4, a: 1, j: 4}. What is prob of sequence jj?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1875586.\nAnswer: 2, 41, 89, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 23. Suppose 0 = -3*f + z, 0 = -0*i + 2*i + 3*f - 13. Solve -a - i*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11558.688 to the nearest ten.\nAnswer: 11560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 5, x: 4, m: 2, t: 1, s: 2}. What is prob of sequence zi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 13. Suppose g = -g + v. Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppppppzppzpz?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.58533um in centimeters?\nAnswer: 0.000458533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372*i = -381*i + 21555. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 11.0000004. What is u rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216820973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*j - 14 - 14 = 0, 3*a + 16 = j for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 + 4239 + 3479 = 293*w - 2047 for w.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -13. Solve -3*n + 2*n + 4 = u for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -1017*t + 1013*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiqdda. What is prob of sequence dda?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 100. Let d be (-396)\/45 - ((-6)\/(-10))\/3. Let p be v(d). Which is greater: p or -91\/2?\nAnswer: -91\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 703843*m**2 - 9220*m wrt m?\nAnswer: 1407686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1757 + 1991. What is the remainder when j is divided by 120?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 57 = -11*g + 161 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 4}. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) 1 (c) -1.8 (d) -1\/4 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (-11 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/2 (b) -18 (c) 7 (d) -23 (e) -0.1 (f) -2\/57\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30.5 - -30. Let h = 0.3 + t. Let b = h - -0.3. Put -3\/4, 1, b in descending order.\nAnswer: 1, b, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31, 163, 519, 1213, 2359?\n\"Answer: 19*n**3 - 2*n**2 + 5*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152 - 120 = 68*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 6:49 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3\/3 + 109*w**2\/3 - 1008*w + 972.\nAnswer: -(w - 54)**2*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -4, 164, -0.5, -4.1, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 17, 2748057*m - 2748060*m = 3*d - 66 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 76361 - -3?\nAnswer: 76364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11.7 times 0.4\nAnswer: -4.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101413403 (base 5) in base 16?\nAnswer: 4202d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-174)\/148*20\/(-60) and -81\/22.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -785.2 to the nearest ten.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -507, 7, 2168 in increasing order.\nAnswer: -507, -5, 7, 2168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -145 + 279. Let p = -38235.9 - -38236. What is the biggest value in 2\/7, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (252\/3087)\/((-171)\/399)\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.44 - -0.04. Let s = -443.9 + 440. Let f = s - u. Which is the closest to 0? (a) f (b) 4 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**3 + 13*a - 2 + a**4 + 9*a**4 - 7. Let x(o) = 51800*o**2 + 1 - o - o**4 - 51800*o**2. Let i(l) = 2*b(l) + 18*x(l). Find m such that i(m) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 24 = -0*i. Is (-8)\/i*-89*-3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15944 + -15924. Solve 3*p + v + 22 = s, p + 4*v - 14 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -481*o**3 + 2*o + 239*o**3 + 261*o**3 - 7*o**2 as r + z*o**3 + w*o**2 + c*o and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 661562665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - 786. What is h rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23494 - -0.0770574.\nAnswer: -23493.9229426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 39*g - 23. Let s be m(-20). Let l(p) = -7*p**3 - 4*p**2 - 3*p + 6. What is the tens digit of l(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -37, -77, -4, -2, 3, -21 in ascending order.\nAnswer: -77, -37, -21, -4, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/12)\/(-3 + (-14796)\/(-4936)). Suppose -5*o + 2203 + 897 = -2*n, -o + n + v = 0. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2205 - -2207. Which is the closest to w? (a) 0 (b) -47 (c) 5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77119 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 409 = r, -5*r = 4*j - 8*j + 783. Is 21 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1242\/5131 + 32\/733. Which is the closest to 2.9? (a) -3\/2 (b) v (c) -4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*c = -113*c - 3*c + 348 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 259 and 238?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 8 = 20. Suppose -k*l = 0, 5*l - 282 = -5*p - 82. 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: Is 948834955 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1866*g + 290566 - 139420 for g.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*g + 12, 2*d - 4*g + 9*g = -23 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 160400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4934216923.\nAnswer: 71, 1523, 45631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/19*1\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 - 10*s**2 - 17*s - 1. Let j be b(-3). Let m be (77\/(-3))\/(3\/(-9)). Calculate the greatest common factor of m and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61709 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: Suppose -4*r = 4, w - 5 = -3*r + 5*r. Suppose 0 = -4*i - w*x + 1944, -4*x + 503 = i + x. Calculate the greatest common divisor of 21 and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, j: 2}. What is prob of picking 3 r?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*d + 5529 + 3452 = 0, 2*y = d + 17935. Is 21 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213 and 284?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 19 + 1. Suppose 0 = x*h - 7*h + 110. Calculate the greatest common factor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 3.4, 2?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44545246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 2*k**2 - 3*k)*(8*k - 8*k - 16*k**3) - 2*k**5 + 6*k**5 + 5*k**5.\nAnswer: 41*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -28?\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*n - 66. Calculate the remainder when n is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**4 - 18587*i**3 + 111546*i**2 - 223108*i + 148744 = 0. Calculate i.\nAnswer: -18593, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 252833642 + -2?\nAnswer: 252833640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1361, -1336, -1295, -1238, -1165, -1076, -971?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -142*t**6 + 55*t**2 - 2?\nAnswer: -17040*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = -7*m - 265. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2*a**4\/9 - 22876*a**3\/3 - 137240*a**2\/3 - 823408*a\/9 - 60992 = 0?\nAnswer: -34308, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*k + 18 - 44, -2 = -3*k - 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**3\/6 - 4*b - 12. Let t(d) = 3*d + 3. Determine -5*p(x) + t(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1201\/1728 + -1\/1728. Calculate the common denominator of -89\/16 and a.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + 259. Let u = 417 + -397. Calculate the greatest common factor of x and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4 + p**2 + p**3 - 2*p - p**2 - p - 2*p**2. Determine y(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4*(-240)\/90\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, 3981, -2 in decreasing order.\nAnswer: 3981, 94, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -2357770 and 18 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*28\/(-2). Let a = d - 10. Suppose c = 5, 5*o = 5*c + a + 14. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3550 and 4850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1564 divided by 92.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4*(sqrt(3) - sqrt(3)*1) - (sqrt(3) - sqrt(6)\/sqrt(2))*-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 52973*l = 52975*l + 106, 10*o - 5*l - 210 = 0 for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) + 0 - sqrt(3)) + 2 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a + 33*a**3 - 119*a**3 - a - 5*a + 84*a**3.\nAnswer: -2*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12306473 is divided by 4109.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -629*o**3 + 221*o**2 - 221*o + 221. Let d(c) be the third derivative of -17*c**6\/120 + c**5\/10 - c**4\/4 + c**3 - 2100*c**2. Give 221*d(m) - 6*h(m).\nAnswer: 17*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12 + -14.12. Let g = -0.4779403 + 14.4779353. Let u = f + g. Round u to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3444 divided by -2?\nAnswer: -1722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 485852\/57 - 8524. Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l + 21*l - 42 = 0. Find the third derivative of 29*g**3 - 4*g**3 + 7*g**3 + l*g**2 wrt g.\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -b**8\/24 + 7*b**5\/60 - 11*b**2. What is the third derivative of h(g) wrt g?\nAnswer: -840*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c)\/c**(7\/3))**21\/((c*c**(1\/2))**31\/(c**(-4)*c\/(c**(-2)\/c))) assuming c is positive.\nAnswer: c**(103\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z - 36. Let i be m(-7). Suppose 0 = -8*h + i*h + 6. Solve 19 = 3*a - 5*c, -4*a = -h*c + 2*c + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4368615, 8737242, 13105879, 17474526, 21843183?\n\"Answer: 5*l**2 + 4368612*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -121724187*u**3 + 60862122*u**3 + 60862069*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4 = -7. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 101?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7617*b**2 - b - 7617*b**2 - 4*b**3 + 13 to n*b + f + u*b**3 + m*b**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 355 = -0*u + 5*u, 4*w - 3*u = 280. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13 + -0.07. Which is the closest to i? (a) -1 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*d + 45*d = -760. What is d rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from httftkhtwhqfthtqtqqh. What is prob of sequence ht?\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((4 - -1) + 1351\/(-273))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/3035?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Solve 0 = -2*h + b - z, -3*h + b - 4 = 2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -265 + 180. Let n be (-304)\/(-17) + (-10)\/i. Solve 5*c - 2*s = -4*s + n, c - 6 = -s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - 1*sqrt(60)*-2)\/sqrt(12)*-4.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:20 PM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2631543736 to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101010110000100101110011010 - -1?\nAnswer: 1101010110000100101110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 = -4*v - 36. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k - 6. Suppose 2*d - d - 8 = 0. Let a be r(d). Find the first derivative of a + 0*t**2 - t**2 - 1 + 0*t**2 wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r - 8. Let o(n) = n**2 - 7*n - 8. Let g(m) = 4*o(m) - 3*x(m). Let v be g(6). Suppose -y = 0, 0 = 4*s - 2*y - 3*y - v. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 49*h**6\/2 - 203*h**3\/3 + 4*h**2 + 2*h + 299. What is the second derivative of q(r) wrt r?\nAnswer: 8820*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2318995.\nAnswer: 5, 7, 59, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 70\/4845893?\nAnswer: 70\/4845893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 12 - (8 + -3)) + -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.771918 rounded to one decimal place?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 239*k. Let v(i) = -30*i. Give v(t(d)).\nAnswer: -7170*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1416, 3, 16, 420.\nAnswer: -1416, 3, 5, 16, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oco when three letters picked without replacement from hyoyoyyhohfoyhcfcyyy?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25443 and 26037?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3169410281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/((r\/r**(-1))\/r*r))\/r)*r\/(r*r**(-5\/4)))\/(r**2)**(-33)*(r**(-8)\/(r\/r**(1\/3)))\/(r\/r**(2\/7))**8 assuming r is positive.\nAnswer: r**(4693\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11469620081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtbbvffbaxfvvbt. Give prob of picking 1 a, 2 x, and 1 f.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 489761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 8*o - 8. Let q be v(7). Let g be 0*(0 - -1)*q. Solve g*i = -4*i + 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (501\/8016)\/(7\/(-13552)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2\/449 - -892\/1347. Let p(s) = s**2 - 26*s + 29. Let k be p(1). Factor 14\/3*o + k + u*o**2.\nAnswer: 2*(o + 1)*(o + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67119214*j**4 + 4*j**2 + 25104*j - 67.\nAnswer: -1610861136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwrrwwwwwwrw. What is prob of sequence wrr?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a decade?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 3*g + 3. Suppose -16 = -4*i + 68. Suppose -3 = -a - l + 3, -5*a = -4*l - i. Let n be p(a). Solve -3*z + 4*z + 3*o = -1, n = -3*z + o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169829898958 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s**2 + s + 939. Let d(i) = 4*i**2 + i - 6. What is -b(c) + 3*d(c)?\nAnswer: 2*c**2 + 2*c - 957","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 + 0*k**2 + 2*k**3 - k + 0*k.\nAnswer: 2*k**3 + 3*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20367 (b) 2 (c) 0.4 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 745865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yncggggnunyg. Give prob of picking 1 g and 1 n.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + -52. Let l = 41 + u. What is the tens digit of (-42)\/(l\/(-9) - 4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 190912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/6720 - a**7\/840 - a**6\/360 - a**5\/24 + a**4\/12 - 4*a**2. Let l(j) be the second derivative of z(j). Determine l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 5*u + 1, 4*p = 5*u + 34. What is the remainder when (8\/(-6))\/(2\/(-48)) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 3*n + n)*(0 + 2*n**4 + 0) - 24*n**5 + 9*n**5 + 8*n**5.\nAnswer: -3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2119, 1752, 1385, 1018, 651, 284?\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + ((sqrt(80) + 1 - sqrt(80)) + -4 + -6*(sqrt(80) + (1 + sqrt(80) - sqrt(80))) + -1)*-3)*4)**2.\nAnswer: 313344*sqrt(5) + 1732864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2797*t + 3653. What is the ten thousands digit of y(21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 - -30013303211?\nAnswer: 30013303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 12:21 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13102644 rounded to five dps?\nAnswer: -0.13103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2043603 divided by 681201\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of 0*z**5 + 0*z**4 - 1\/6*z**3 + 0 + 0*z**6 + 0*z**2 - 3*z - 1\/42*z**7. What is the second derivative of x(b) wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610.23 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:21 PM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.028 - 0.428. Let q = -6 + 6.3. Let v = 1.3 - q. Which is the second biggest value? (a) v (b) 1\/3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15591.29*-0.9\nAnswer: 14032.161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**2\/5 + 487381482*k\/5 - 19795059083043027\/5 = 0.\nAnswer: 81230247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194758501?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5701 * 358.4\nAnswer: -2043238.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -645954 (base 11) to base 2\nAnswer: -11111100000111100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g + 3. Let n(c) = -c - 1. Let y(o) = j(o) + 3*n(o). Let k(r) be the second derivative of 0*r**3 + 0 + 1\/6*r**4 + 4*r + 0*r**2. What is y(k(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/261 and 22\/38788631?\nAnswer: 349097679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)*v**(5\/2)\/v)**(-1\/6) assuming v is positive.\nAnswer: v**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2369*r + 4*r**2 + 889*r + 2*r**2.\nAnswer: 6*r**2 + 3258*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21839*b**4 + 3*b**3 - 121*b**2 - 300*b wrt b.\nAnswer: -524136*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6058?\nAnswer: 2, 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*r - 3*r = 24, 1 = -j - 2*r. Suppose 0 = 8*p - 3*p + h - 385, j*p = 4*h + 410. Does 13 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*p = -32, 3*d - 4*d - 3*p + 10 = 0. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -36 + 36. Let b(g) be the first derivative of -1\/8*g**2 - 1\/12*g**3 - 5 + a*g. Factor b(t).\nAnswer: -t*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/39)\/((1292\/442)\/38) - -108.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*d = 4, -8 = -2*d - 0*d. Suppose 2*q - 8 = 2*v, v - 2*q = 6*v + 27. Are v and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -68, -110, -182, -296, -464, -698?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -3*o**4\/4 - 2*o**3\/3 + 7*o**2\/2 + 13*o + 20. Does 9 divide w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 19. Let w be (0 - (-3)\/(-18))*1. Is k less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2868618?\nAnswer: 2, 3, 113, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 26*h**3 + 6*h**2 - 6*h + 10. Let k(c) = -5*c**3 - c**2 + c - 2. Determine -16*k(y) - 3*z(y).\nAnswer: 2*y**3 - 2*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*k - 250*k = 130*k + 2570 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 51.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, m: 1, i: 5, o: 4}. What is prob of sequence com?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 4. Suppose 3*a - 4*v = 33 - 7, 0 = -4*v - 20. What is the units digit of a - 1 - (-80)\/l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10 - (-12 + 25)) + 2236\/4?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 s, and 1 e when four letters picked without replacement from {h: 1, v: 4, e: 5, d: 1, s: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -147. Let r = -143 - -713\/5. Which is the nearest to 0.1? (a) 0.2 (b) l (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 11909604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 7:00 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.8, 0.5, 1, 0.4 in ascending order.\nAnswer: 0.4, 0.5, 1, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 + 6871845*m**2 + 2361116121120*m + 2361109249280.\nAnswer: 5*(m + 1)*(m + 687184)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/49 and -25\/27063?\nAnswer: 1326087","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -0*f - 4*f - 16, -5*f + 4*o = 65. Let v be ((-3)\/f)\/((-1)\/(-9)). What is the second derivative of 2 + v*w + w**5 - 3 + 1 wrt w?\nAnswer: 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224\/48 - 1\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11561330 (base 7) to base 13.\nAnswer: -2a5591","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of p**4\/5 + 7*p**3\/15 - 7*p**2\/5 + 3*p\/5 + 4447. Suppose n(w) = 0. What is w?\nAnswer: -3, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:46 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -1\/24*a**4 - 3\/2*a**2 - 1\/60*a**5 + 0*a**3 - 3*a + 0. Let q(m) be the first derivative of n(m). Solve q(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 271 or 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7903405691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 2, 5, 7, 0, -4 in increasing order.\nAnswer: -4, 0, 2, 5, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -3) + 1 + -24 + -6 + 9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.154 - 0.004. Let w = f - 0.042. Let i = 11.9 - 12. Which is the closest to w? (a) 0.2 (b) 0.4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-54)\/(-12)*32\/(-6). Let b be 256\/c*15\/(-4). Suppose 0 = 8*i + b + 24. Let t(k) = -k**2 - 7*k + 7. Give t(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2514)\/(-36) - (-1)\/6. Suppose 0 = s + s - u. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7806?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1307782596 - 87*s**3 - 1307782596.\nAnswer: -87*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (((-4095)\/52)\/7)\/((-21)\/112)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*q = 223*q + 4*a + 63, 4*q = 5*q + 10*a + 147 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2)*2*(-6 - -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -283461, -568055, -852649, -1137243?\n\"Answer: -284594*x + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gegggegg. What is prob of sequence gee?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 80.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2627434 and 342?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 51. Let x(l) be the first derivative of 16*l - 4 + 0*l**2 + 1\/3*l**k. Differentiate x(p) with respect to p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -345, 8\/2103, 6 in decreasing order.\nAnswer: 6, 8\/2103, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = -6*l + 3*s + 15, l - 10 = 2*s. Solve -2*w - 5*z = w, l = 2*w + 2*z for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:47 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(1\/18)*o*o*o\/o**(2\/3)*o)**(1\/7) assuming o is positive.\nAnswer: o**(79\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5457 - 5435. Solve -k + 21 = -v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42569820?\nAnswer: 2, 3, 5, 31, 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(180)*-4)**2 - -6*(sqrt(180)*-1)**2) + 1)*-1.\nAnswer: 10439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 27.01. Let n = -30 + z. What is the nearest to 1 in 0.1, -0.1, n?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 3, -79, 1 in descending order.\nAnswer: 3, 1, -1, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 183872371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 321 - 963 = -3*u + 3*x, -u = 4*x - 209. Which is smaller: u or 212?\nAnswer: 212","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, 64, 210, 478, 904, 1524, 2374, 3490?\n\"Answer: 6*l**3 + 7*l**2 - 3*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -1) + (-7 + 20 - 5) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2\/2 + 7*q - 2. Let m be f(3). Let o = 2633 - 2631. Solve a = 4*n + o*a + 25, 3*n - m*a - 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/12)\/10*-6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 3:16 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5334500.\nAnswer: 1600350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*y = -0*n - 12, 12 = 3*n + 4*y. Let c be n*(-2)\/(-3 + -1). Solve 2*o = c*s + 4, o + 4 = -2*s - 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wrrmmwwrwrwwrmirmr. Give prob of sequence mmmw.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6867377 weeks to days.\nAnswer: 4.8071639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.16 (b) 0.02 (c) -267\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*c**4 - 2*c**4 + 5*c**4 + 4355*c**2 - 4349*c**2 - 9*c**3 = 0. What is c?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 841 - 841.0000109. What is f rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 69*q - 52 = -2*y, 456*y + 3*q = 460*y - 49 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v**2 + 367*v - 299. What is o(-62)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 7:20 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6262 + -0.87005. Let a = y - 2.75. Round a to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -156\/5 + 31. Let p = 2450\/39 - 808\/13. Let z = 1 - -1. Which is the closest to 0.1? (a) p (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and 1845?\nAnswer: 47970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4515\/665)\/43)\/(12\/(-8))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -31. Let i = 7 - d. What is the units digit of (-4)\/i - (-125)\/15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 1:26 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 12, 3 in ascending order.\nAnswer: -2, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1478047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nbrhbnhnrhhh. What is prob of sequence rh?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/140 and -85\/284?\nAnswer: 9940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 + (-42)\/(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t - 3*t + 67*t.\nAnswer: 79*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 75 = h, 2*w = -8. Let u = -6 - -8. Suppose -u*q = -q - h. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 17*y + 7910 = 0. List the prime factors of y.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnhh when four letters picked without replacement from hnhhngnihnnhhh?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -57*o**3 + o**2 + 9*o - 5. Let s(y) = -14*y**3 + 2*y - 1. Let g(n) = -2*m(n) + 9*s(n). Let j be g(-2). Let r = j + -63. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 10:49 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(27) - sqrt(432)) + sqrt(27)))\/(sqrt(9) + -2*sqrt(36)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26654 divided by 51?\nAnswer: 26654\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -10. Let g = 6 + y. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v**3 + 6*v**2 + 7*v. Let g be w(-1). Solve -2*t - g*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-562*o + 547*o + 24 - 9)*(-1 - o**2 + 1).\nAnswer: 15*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**5 - 2*k**5 + k**5)*(-19 + 98 + 99) + 3*k**5 - k**5 - k**5 + (2*k**4 + 0*k**4 - 3*k**4)*(k + k + 0*k) + 1 - 1 - 2*k**5.\nAnswer: -359*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -189 - -191. What is the third derivative of 9 + 19*c**6 + 38*c**6 + 13*c**w - 4 - 6 wrt c?\nAnswer: 6840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8763 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*q + 230 = -5*q, -593 = -5*t + 3*q. What is the highest common factor of 33 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 3) + 5 + -6. Sort 2, u, 8 in increasing order.\nAnswer: u, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*m + 2*w, -16146547*m + w = -16146544*m - 6 + 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**7\/168 + b**6\/12 + 13*b**5\/80 - b**4\/2 - 779*b. Factor i(r).\nAnswer: r**2*(r - 1)*(r + 3)*(r + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:11 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 36422624297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -u**4\/24 - 3*u**3 - 3*u**2 + 52. Let l(m) = 2*m. Determine l(q(n)).\nAnswer: -2*n - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from gggggqqggqgqqgqgqgg?\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j - 1 + 1 - 1 + 1 - j - 2*j - 5*j + 5*j + (-1 - 5 + 4)*(0 + 0 + 2*j) + 0*j + 2*j - 4*j + (3 + 2 - 4)*(3*j + 35*j + 2*j).\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 345 - -68484163.\nAnswer: 68484508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(6 + (-49)\/7). Solve -2*k - 16 + 12 = x for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 184261310 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*((sqrt(153)*2*3)\/(sqrt(36)\/sqrt(4)*6) + (1 + sqrt(17))*5 + -4 + -2).\nAnswer: -36*sqrt(17) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) 3 (d) 23297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k**2 + 2*k + 16. Let d(l) be the third derivative of -l**5\/60 - l**4\/24 - 4*l**3\/3 - 43*l**2 - 6. What is -5*d(f) - 2*p(f)?\nAnswer: -f**2 + f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 5*q - 9*h, -5*q + 13*h - 37 = 15*h for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, p: 2, h: 2, r: 2}. Give prob of picking 1 a, 1 p, and 2 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p - 2. Let o(t) be the first derivative of t**3\/3 - t**2\/2 + t + 4. Determine n(x) + 2*o(x).\nAnswer: x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + 0.01. Let h = l - -0.57. Which is the second biggest value? (a) h (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 28*m**2 - 55*m + 34. What is the hundreds digit of w(-26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -136 in -1\/3, 4, 872?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 divided by -95?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hrrpprr. What is prob of picking 2 r, 1 h, and 1 p?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 9 = 3. What is the first derivative of -5 + 9*l**2 - 5*l**2 - j wrt l?\nAnswer: 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1604)\/76 + -2 + (-40)\/(-19). Let l(j) = j**3 + 22*j**2 + 10*j + 1. List the prime factors of l(x).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 4:38 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 9*k - 5*b = 37, -2*k + 20 = -b. Suppose -4*p + 82 + 26 = 0. What is the greatest common factor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968146633?\nAnswer: 5791, 339863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i - 3. Let n(f) = -3*f**3 - 4*f**2 - 2*f + 1. Let w be n(-1). Put w, i, 1 in ascending order.\nAnswer: 1, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2012\/(-480) + 4 + 0*4\/16 and 103\/264?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3482 = 2*f - 4*f, -5*f - 1741 = -q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1260 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1*sqrt(68) + sqrt(68) + sqrt(68) - sqrt(68)))\/sqrt(4) - (1 + sqrt(34)\/sqrt(2) + -3).\nAnswer: -sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 7*y + 1131. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 569 + -569. Solve v = -3*i + 11, i - 6 + l = 2*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 11) in base 13?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -551*d - 8266. Determine x(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*b - 35*b + 648. Suppose 7*q - b = 117. Solve -24*m + q*m + 15 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 547*w - 684. What is the thousands digit of c(37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 95 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 408 - 406. Calculate the greatest common factor of p and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 34*s + 1350500 = 25*s. What are the prime factors of s?\nAnswer: 2, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3040, 3039, 3038?\nAnswer: 3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q + 13*q + 32. Suppose 1 + 17 = z. Calculate the least common multiple of q and z.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 2*m + 12 = -0*b, -5*b + 15 = 5*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3294?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 24*i + 5102. What is the hundreds digit of l(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 - 341 + 189)*(f + f - f)*(4 - 1 - 4).\nAnswer: -17*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - 23) + (-7845194)\/(-342720) and -163\/3600.\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 4) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, z: 2, d: 2, c: 7, k: 2, s: 1}. Give prob of sequence zu.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1131937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -660*w + 20*w**2 + 149*w**3 + 1961*w - 652*w - 651*w to r*w + b + c*w**2 + a*w**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3778, -4577, -5990, -8323, -11882, -16973, -23902?\n\"Answer: -51*o**3 - o**2 - 439*o - 3287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100 - 11000111001111001?\nAnswer: -11000111010110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 30668.8kg?\nAnswer: 30668800000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98 + -40 + -53 + 1 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of 0*j**6 + 7*j**2 + 1\/24*j**4 + 0 + 0*j**5 - 1\/210*j**7 + 0*j + 0*j**3. What is the second derivative of y(a) wrt a?\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 89. Let s be 14\/(-4)*(-84)\/z. Let o = 20 - s. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 15 = x - 0*x, -4*z + 5*x + 39 = 0. Let u = 23 + -7. Suppose -7*o = -4*q - 2*o + 17, -o - u = -5*q. Solve -q*v = -6*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2841 + 32551. Does 23 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 278906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of 1 + 0*k**3 + 0*k**2 + 28\/3*k**4 + 33*k + 1\/5*k**5. Factor q(j).\nAnswer: 4*j**2*(j + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -195720590*x**2 - 542958116 with respect to x.\nAnswer: -391441180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -74\/2255235?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4122 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(2\/11)*h\/h**5*h**(-1\/4)\/(h*h**(-2\/3)\/h) assuming h is positive.\nAnswer: h**(-449\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 921 - 351. Let i = y + -568. Which is the second smallest value? (a) i (b) 3\/14 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 48. Let b(p) = p + 38. Let z(o) = -5*b(o) - 4*i(o). Let f(l) = -l + 1. Calculate 3*f(r) - z(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 178228243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 88816 and 284?\nAnswer: 6305936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 58374000 rounded to the nearest one hundred thousand?\nAnswer: 58400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20101 (base 5) to base 2.\nAnswer: 10011111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 9*y**3 - 12*y**2 + 22*y - 42. What is u(2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:08 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1573) - sqrt(1573)) + sqrt(1573) + sqrt(1573) + sqrt(1573))**2 - (sqrt(13) + (sqrt(13) - (sqrt(39)\/sqrt(3) + 2)**2)).\nAnswer: 68*sqrt(13) + 14175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 10*p + 12. Suppose -27*g + 26*g = -3*q + 14, -3*g - 22 = q. What is f(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 2. Let c(g) = -4*g**2 - 2. Suppose -27*u = -23*u - 140. Suppose 3*w + 4*w + u = 0. What is w*v(i) - 4*c(i)?\nAnswer: i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 184?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/3 (b) 138 (c) 3\/34 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 6 - 2)*48\/36*1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23211*l + 5803*l + 5915*l - 2015*l + 3018*l to the form r + a*l and give a.\nAnswer: 35932","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1200 divided by 448\nAnswer: 75\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 433677 and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65830, 66028, 66344, 66772, 67306, 67940?\nAnswer: 68668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8217 + 3933 = 301*w + 185*w for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 i when four letters picked without replacement from {w: 5, u: 2, s: 4, k: 2, i: 1}?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 + 2*m - 1. Let r be w(-3). Suppose -6*q + 4*q = -14. Suppose -r*o + q*o = 25. Solve -2*n = -3*k - 3*n - 2, o*n = -k + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9308996.\nAnswer: 2, 17, 136897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144582903 divided by -267.\nAnswer: 541509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjqqvjjjqjjqvvqvv. What is prob of picking 1 j and 2 v?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -110071, -110094, -110117, -110140?\n\"Answer: -23*y - 110048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 2, q: 2, o: 2, y: 7}. What is prob of sequence qy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2339.868 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 95 - 3*p**2 + 12*p**2 + 68*p**2 - p - 51 - 49 as c + u*p**2 + i*p and give u.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 23*p - 6. Let u be b(11). Let q = u - -208. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -5 + 7 - (5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 8 + 2*l + 3.\nAnswer: 2*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-1*2 - -4). Let x = 2057 - 2052. Suppose -9*w = -3*u - 8*w + 29, -x*u - i*w = -52. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dtdtttdtttt. Give prob of picking 4 t.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19900 and 10.\nAnswer: 19900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at least -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6, 24, 78, 186, 366, 636?\n\"Answer: 3*q**3 - 3*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -186\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 323*n - 9294 = 644*n + 23769 for n.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 7*b - 9. Let c be (-1)\/(-9) - ((-4800)\/54 + -2). What is the highest common divisor of b and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*o + 33936 = 420. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2824246?\nAnswer: 2, 641, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8724726 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Factor 9*g**3 - 14*g**3 + 3*g - 6*g**2 + 8*g**l.\nAnswer: 3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1580943933797\/4872 + -324495883. Let y = v + -6\/203. Find the common denominator of y and 111\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -14*h - h + 2*h + 2 + h**2. Let z be q(13). Suppose -3*m = -z*i + 7*i - 38, 0 = -2*m - 8. Calculate the highest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 39 = c, 0*n = 5*c + 3*n - 160. Let a = 35 - c. Calculate the least common multiple of 263 and a.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 114 and 741?\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1196830?\nAnswer: -1196830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122162*y - 122162*y - 269*y**3.\nAnswer: -269*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11.9 + -18.72. Let g = 58 + -57.22. Let x = g - i. What is x rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*t - t. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 40 - 224?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 522 + -523. Is -2\/77 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2 + 2 + 1 + 2*d - 5. Let r(u) = -1115 + 529 - 3*u + 586. What is n(r(t))?\nAnswer: -6*t - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f + 11309 = 4*v + 12*f, -2*v = -2*f - 5656. Let c = v + -25495\/9. What is the common denominator of c and 13\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 94990 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 37 + 6?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 353*c + 2. Let u(g) = -3*g**2 - 4. Give u(q(x)).\nAnswer: -373827*x**2 - 4236*x - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 338409*x**2 - 9544233573*x + 47712708015.\nAnswer: -3*(x - 56399)**2*(x - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*l = 63*l. Solve -2*b + l = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123*k*p**4 + 39*k*p**3 - 4*k - 118*p**4 - 3182452*p**2 wrt p.\nAnswer: 2952*k*p + 234*k - 2832*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1740 + 6919\/4. Let w = 10 + t. Does w = 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5962*n**2 - 7*n - 5964*n**2 - 12*n.\nAnswer: -2*n**2 - 19*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**5 + 4*d**4 - 2*d**3 - 12*d**2 + 9*d = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**2 - 29*r**2 + 8*r**2)*(1 + 2 - 5)*(-19*r**2 + 2*r**2 - r**2).\nAnswer: -360*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2bd + 2b2a?\nAnswer: 284b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, -5\/104, 0.4.\nAnswer: -2\/7, -5\/104, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {h: 2, d: 6, m: 10}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21166 (base 7) in base 15?\nAnswer: 1847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -19\/12 (b) -2\/13 (c) 0.3 (d) 8 (e) -0.01 (f) -0.03 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -5101?\nAnswer: -1530.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51842 less than 437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-11 - (-19 + 10 + 1)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1826655.\nAnswer: 3, 5, 47, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(125) - -5*(sqrt(125) + -3))**2.\nAnswer: -900*sqrt(5) + 4721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 1:50 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250 = 143*g - 193*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123634128.\nAnswer: 2, 3, 883, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 111011101111 (base 2) to base 16\nAnswer: eef","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + ((-13411)\/(-6341) - (-1 + 2)). Let x = s + 1\/373. Which is the smallest value? (a) x (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6529333.\nAnswer: 1303, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + l = -2, -2*p - 3*p - 4*l = 8. Suppose p = 4*u - 3*j + j + 302, -2*j = -u - 80. Let w = -39 - u. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -4, -148, 1, 6 in descending order.\nAnswer: 6, 4, 1, -3, -4, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 44 - 2*r**2 + 10 - 32 - 46 in the form i*r**2 + v*r + s and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11860 - -16769. What are the prime factors of p?\nAnswer: 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 882394886?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3609 + -131.\nAnswer: 3478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -3768, -7 in decreasing order.\nAnswer: 5, -3, -7, -3768","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*g - 2 + 2 + 180*g - 398*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-6)*80\/(-3). Let c(x) = x**2 - 5*x - 1. Let v be (-23)\/(-4) + 5\/20. Let s be c(v). Calculate the greatest common divisor of f and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -195*h**2 + 6*h + 5. Give i(-1).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 329140*c. Let s(z) = -5*z. Give s(t(g)).\nAnswer: -1645700*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 256 and 21520.\nAnswer: 344320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 - 2*r + 3. Let h be n(-3). Suppose 3*k + h = -3. Which is smaller: -7\/3 or k?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 - 2*x**4 + 2*x**4)*(-2 + 1 + 0)*(0 + 2 - 3) - 3*x**3 + 3*x**3 + x**5.\nAnswer: 2*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184624, -5, 1\/6 in descending order.\nAnswer: 1\/6, -5, -184624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1995045 a multiple of 507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**3 + 6544 + 6539 - 12978 + 5*m**2 - 3*m**2.\nAnswer: 7*m**3 + 2*m**2 + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 6. Let k be h(-17). Suppose a - k = 9. What is the hundreds digit of 2\/((a\/(-4))\/(-470))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*o - 506 = -20*o - 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 o when three letters picked without replacement from qqvtgtcovtgt.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3317 divided by -2.\nAnswer: -3317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 - n**2 + 41141*n - 123420. What is j(3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 573263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -74 + -1e?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-807000)\/(-21800) - (31 + 0).\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1304107063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 1414445?\nAnswer: 1414446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, c: 4, f: 6, y: 3}. What is prob of picking 1 e and 1 c?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/(-819))\/(-10)*-26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1529*n - 646 - 48988 + 6822 = 0 for n.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10 and 97\/1488.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)\/c*c\/(c\/(c*c\/(c*c**10)*c)*c))\/(c\/((c**(-7)\/c)\/c*c)*c\/(c*c**11)) assuming c is positive.\nAnswer: c**(-150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -568007\/18 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/6*(2 + 10). Let u(g) = -g**3 + 3*g**2 - 2*g + 2. Let c be u(3). Does 8 divide 172\/12 - c\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -6*b**2 - 25*b - 6. Determine i(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -8. Let x(t) be the third derivative of -t**6\/120 + t**5\/10 + 7*t**4\/24 + 2*t**3\/3 + t**2. Does 2 divide x(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 15 - 20200*y**2 + 11*y + 20203*y**2 - 5*y in the form j*y**2 + r*y + q and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -63, 4.\nAnswer: -63, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -10120221?\nAnswer: -10120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1539) - (sqrt(1539)*-2 + -3))*-5 - (-3 + -3 + 3 + -2 + sqrt(1539)))**2.\nAnswer: 69030*sqrt(19) + 5361484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 474.59*66.9.\nAnswer: 31750.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 12, e: 1, o: 2, q: 2, r: 3}. Give prob of picking 2 o.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 e, and 1 r when three letters picked without replacement from {r: 5, t: 8, e: 4, z: 1}?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5 + 61064*f**4 - 488384*f**3 = 0.\nAnswer: 0, 8, 30524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 + 57. Solve l - t = -0*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1150 and 1265.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (2 + -6 - 18) - -30.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 4*t + 1 = 0. Let -2*w + 2*w**2 + 7*w - t - 3 - 3*w**2 = 0. What is w?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 4)*(-5*m + m**4 + 5*m) + 23*m**4 + 80 - 95 - 58*m + 58*m.\nAnswer: 24*m**4 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1498*a = 1532*a + 714 for a.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**4 - d**3 + 239435*d**2 + 13430*d + 38 wrt d?\nAnswer: 96*d**2 - 6*d + 478870","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-216) - (6\/48 - -1) - (-57)\/(-33)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -7*v + 414. Let y be q(54). Let w(h) = -12*h - 2. Let f be w(-3). Which is smaller: f or y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 2*s**2 - 3*s + 1. Let m be y(2). Does 11 divide -2*(-2)\/(4\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1102223003111?\nAnswer: 1102223003110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 892433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -14. Let v(m) be the first derivative of 5*m**2\/2 - 8*m + 1. Is v(y) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/48 - -1\/16. Let w = -1.0463 - -0.0463. Which is the nearest to w? (a) p (b) 1\/10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 111 + 14 + -64?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84376 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-15)*p**(-3\/7)*p assuming p is positive.\nAnswer: p**(-101\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -42*i + 113. Calculate the remainder when 252 is divided by s(1).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 49.26907 to 1 dp.\nAnswer: 49.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8 - ((-66)\/(-6) + -5). Solve 5*x + 5*c = 0, -5 = d*x - c - 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, 3, 9152, -37 in decreasing order.\nAnswer: 9152, 4, 3, -5, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63954 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 0, -4*m = -5*g - 9*m. Suppose -14*r + 1072 = -10*r. Suppose g*h - 2*h = -r. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o - 872 = -311 for o.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50654813 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, 3, 1, -1368, -6.\nAnswer: -1368, -6, -5, -1, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - i**2 + i + 2. Let s be q(0). Suppose 5*g = 63 + s. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 74?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 193 - 183 - (2 + -4 + 59 - (1 + -3))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8826\/1177 greater than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -14. Let m = 9 + a. Suppose -4*r = -2*x + 54, 2*x + 5*r - 1 - 8 = m. What is the remainder when 32 is divided by x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 5*v - 10. Let w be b(6). Let h be w\/24 + 4\/(-30). Let u be 4\/14 - (-2)\/(-7). Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 + 24*k - 406. Determine o(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3507 divided by 1?\nAnswer: -3507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 11 - 9. Let v be (-168)\/18*(-6)\/(-4). Which is bigger: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34 and 1088.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47.6 - 48. Suppose -2*i = r + 12, 4*i = -3*r - 0*r - 26. Put i, -3, g in descending order.\nAnswer: g, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -47, -41, -35, -29?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 553462 is divided by 553449.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37827720689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 7*y - y - 7 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000090287464 to 5 dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279.84 - -277. Round j to one decimal place.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*b + 5779*b + 968*b - 442556 = 151*b for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + 11*v + 25. Let t be y(-5). Let s be (-24)\/(-10) - (-2)\/t. Let h be 2\/(-9) + 94\/18. Solve 2*w + s*b = h*b, -5*w = 3*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 466*k**3 - 228*k**3 - 235*k**3 - 5. Suppose 10 = f - 3*f. Let w(p) = -4*p**3 + 6. Give f*w(g) - 6*v(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 288 = 16*a. Suppose -5*q + 51174 = 4*b, -25*b - 2*q + 38377 = -a*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838883 is divided by 1091?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 15 = f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -884859*z + 884848. Give u(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 15*q + 10 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-9 + 10 + 11) - -4.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99 or -51?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.8 + 10. What is the nearest to -1\/3 in 0.3, x, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-4)\/(-184))\/((-4)\/(-8))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-195)\/(-39)*-1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*r - 5*a + 6*a, 4*r - 4 = -2*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -25543?\nAnswer: -25544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 - -1.3. Let u = 0 + g. Put u, 5, 1\/5 in descending order.\nAnswer: 5, 1\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - x)*(3*x**4 - x**4 + 3*x**4).\nAnswer: 5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 19.3. Put k, -0.1, -2\/7 in decreasing order.\nAnswer: k, -0.1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g**2 - 7. Let a(q) = 5*q**2 - 6. Let l(d) = -7*a(d) + 6*t(d). Let m(s) = 2*s + s - 4*s. What is m(l(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 21. Let t = s - 65. Let w = t + 78. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - 5\/(-4) - 54\/(-72). Suppose -4*o - 9 = -3*l, -o - 6 = -l - 3. Solve -x*u = -5*u + l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.1 - 3.1. Let n = -18 + w. Which is the nearest to 0? (a) n (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 211225314 - 0?\nAnswer: 211225314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/24*4\/(-10). Let f = -18 + 20. What is the second biggest value in -0.1, f, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1678791, -1678633, -1678475, -1678317?\nAnswer: -1678159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7))**(-30)*((t**9\/t)\/t)\/t**(1\/10) assuming t is positive.\nAnswer: t**(-2217\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b. Let l(r) = -831*r. Give u(l(f)).\nAnswer: -1662*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34 - 28764087403.\nAnswer: -28764087369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64617*x**6 - 2*x**5 + 4*x**3 - 36606*x**2 - 2 wrt x.\nAnswer: 7754040*x**3 - 120*x**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/21 + (-6)\/(-14). Suppose -a + 4*a = i. Let h be 0 - (-2 + a + -218). What is h rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -3, 0.08, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 4 = -2*q, 0 = 3*q - 2*l + 1 - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16121680 to the nearest ten thousand.\nAnswer: 16120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.1, -24, -347.\nAnswer: -347, -24, -1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -7. Let a = 2 + i. Let d(k) = k**2 + k. Give d(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70*x - 35*x - 129*x + 8*x - 1861 - 43*x wrt x?\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 27, 3, 0.4, 189, 327?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 23\/7 (c) -2\/15 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - 1 + 1)*(-a**2 + 2*a**2 - 3*a**2) - 2*a**3 + a - a + (-a**2 - 4*a**2 + 3*a**2)*(-2 - 4 + 4)*(-a + a + 3*a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f**2 - 43*f + 17. Determine q(7).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 - 91\/4. Sort -0.5, -1, 5, d in decreasing order.\nAnswer: 5, d, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -6*s - 16. Suppose 0 = -3*t + 5*t - 134. Suppose -2*p - 23 = -t. Calculate the remainder when s is divided by p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 33*u - 396. Calculate m(27).\nAnswer: 495","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1072305 - 1072408.1997. Let t = f - 0.0003. Round t to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q + 3*q - 6*q)*(-3 + 1 - 6).\nAnswer: -8*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 - 92*z**2 - 296*z + 100. Give s(49).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (65\/(-15) - -3)*-3. Solve g = q - 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 488 = -31*p + 363 for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 6*d - 18. Factor 5 + 4*s**d - 5 - 3*s + 2*s**2.\nAnswer: 3*s*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13070, 26139, 39208, 52277, 65346?\nAnswer: 78415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 16. Suppose 4*x - 255 - 93 = v. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4, 19, 44, 79, 124, 179?\n\"Answer: 5*w**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5388802*r**5 + 1362586*r wrt r.\nAnswer: -107776040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 3. Suppose 18 = 5*w + 3*o, 4 = 3*o - 4*o. Let b(s) = -1. Let k(u) = w*b(u) - 2*t(u). Let d(m) = m. Determine d(k(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + 1 - 1 + (2 + 2 - 3)*(5*v - 5*v - 2*v) + (505 - 505 - 32*v)*(2 + 0 - 5).\nAnswer: 95*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 85625 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.2. Suppose -5*g + q = 15, 2*g - 4*q + 26 = 2. Which is the closest to k? (a) -0.3 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*f - 3 - 13 + 20 - 56*f**2 wrt f.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 63 - (-6 - (-7 + -5))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-3) + 3\/9. Solve 0 = -l*b + 1 + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -26*b**3 - 8*b**2 - 17*b + 17. What is y(1)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 47, 15, 163, -3, 2 in decreasing order.\nAnswer: 163, 47, 15, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-27)*(3 + 60\/(-16)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**5*y**2 - 205*o**4*y**3 - o*y**3 - 22*y wrt o?\nAnswer: -20*o**3*y**2 - 2460*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 1, 3*q + 5*k - 7 = 13. Suppose q*g - 25 = -5*p, g - 5 - 2 = -2*p. Suppose p = i - 1. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 221675 divided by 25.\nAnswer: 8867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -7*z - 274. What is the common denominator of 2\/3*z\/12 and -91\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5635090 to the nearest 10000.\nAnswer: 5640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9407 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2*(5 + -5). Let u(w) = 4*w**3 - 3*w**3 - w - 8 + 0*w. What is u(a)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssscszcssszsssssssc. What is prob of picking 2 z?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/((c*c*c\/c**(1\/16))\/c))\/(c\/(c**16*c)) assuming c is positive.\nAnswer: c**(257\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -140*r**2\/9 + 116*r\/3 - 208\/9.\nAnswer: -4*(r - 1)*(35*r - 52)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17165 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f\/(f*f*f*(f*f*f**(4\/11))\/f)))\/f)**(2\/3))**19)**(-6\/11) assuming f is positive.\nAnswer: f**(-2812\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3922\/17115 - -2\/3423. What is the third smallest value in 1, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322612503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 2)\/3 - (-3164 - -3). Suppose 5*k = 2*k + c. What is the greatest common divisor of k and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-2 - -3) + 13 + 13 + -19.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/9 - 14*u**2\/9 - 10*u\/3 - 2.\nAnswer: -2*(u + 1)*(u + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 2:26 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398972997?\nAnswer: 3, 577, 76829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 3*a - 4. Let n be o(-4). What is the biggest value in -5\/2, n, -0.1, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 295715424 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 14) to base 5\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.502747 * -6.\nAnswer: 3.016482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.343 * 0.36\nAnswer: 0.12348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 15 = 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 0*v + 5 - 5*v.\nAnswer: -6*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12687 = 177*o + 5253 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*v**4*z**2 - 52*v**4*z - 20*v*z**2 - v + 17*z**2 wrt v.\nAnswer: 324*v**2*z**2 - 624*v**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 231 and 11?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23.7 - 23.2. What is the third biggest value in -0.2, w, -2, -1\/9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6436 + -4?\nAnswer: 6432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -7*a - 13. Let u be f(-2). Does 21 divide ((-2 - 3) + 4)\/u*-439?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of b**5\/30 + b**4\/24 + b**3\/3 - 26*b**2. Let o be k(0). Let u(j) = 4*j - 4*j**o + 194 - 194 + j**3. What is u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -j - 525, -r + 5*j = -122 - 387. Suppose 5617*l - 1195 - 346 = 5550*l. Calculate the greatest common divisor of l and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**4 - 6*c**4 + 5*c**4 + (252*c**3 + 74793*c**2 - 74793*c**2)*(0*c - 2 + 0 - 4*c) in the form z + r*c**3 + d*c**2 + u*c + k*c**4 and give r.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - 4 - (-6 - -3). Suppose -3*r - o - 3*o = -1433, m*r - 932 = 2*o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 = o. Suppose 2*x = 3*v + 14, o = -3*v + 3*x - 9. Let a be v\/(-2) + (-4 - -4). Solve -5 = -a*f + 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 3*l**2 + 0 + 30*l + 121\/8*l**4 - 11*l**3. Solve x(z) = 0.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -167, -244, -319, -392, -463, -532?\n\"Answer: s**2 - 82*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -692 + n + 692.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 41 = -2093. Suppose -2*f = -4*c - 0*f + h, -2*f = c - 88. List the prime factors of c.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5159\/4 - -15485\/12. Are 1\/22 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*a + 50 = -0, -z + 2*a + 46 = 0. What is the greatest common factor of z and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/8*(-25 + -3). Suppose 4*c - 8 - 2 = -g, -2 = 3*g - 4*c. Suppose g*j - z = -73. Solve 1 = -5*x - j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10020510 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.576 and 388844.9?\nAnswer: 388845.476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(10\/4) + 0. Suppose -j - x*j = -12. Let a(o) = o**2 + 5*o - 6. Let f be a(5). What is the highest common factor of j and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.687 (b) -1\/3 (c) 1\/306\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2316927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-3)\/6*-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 37 = 10*i. Suppose y - 3*z = -i, -2*y + 10 = -5*z + 3*z. What are the prime factors of y\/35 - 2304\/(-21)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ujh when three letters picked without replacement from {h: 2, u: 4, j: 2, o: 1, r: 3, x: 3}.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -610, -1136, -1594, -1990, -2330?\nAnswer: -2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -3*v**4\/8 - v**3\/6 + v**2 - v. What is q(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = j - 26, -134*p + 30 = 3*j - 137*p. Let g(f) = 2*f**3 - 5*f**2 + 8*f - 6. Calculate g(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 2*x**2 + 3*x**2)*(-100*x + 197*x - 95*x - 154).\nAnswer: 4*x**3 - 308*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 - k**2. Let o(g) = -335*g**3 - 6*g**2 - 9. Let h(a) = 3*c(a) - o(a). What is the third derivative of h(n) wrt n?\nAnswer: 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 29 - 3*g**7 + 10*g**7 + 2*g**7 - 10 + 5*g**3. What is the third derivative of i(t) wrt t?\nAnswer: 7560*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**5 - 36*c**4 + 8727*c**2.\nAnswer: 60*c**2 - 864*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + 50440\/140. Suppose a = 7*a - i. Suppose -4*o + a = 3*t - t, -2*o - 48 = -2*t. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-432)\/5616)\/(1\/13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -65 + 67. What is the second biggest value in 0.03, t, 3, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55442 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 528 - 2*60\/(-16)*(-20)\/25. What is the highest common divisor of j and 609?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hmq when three letters picked without replacement from {v: 6, m: 1, q: 2, w: 7, h: 3}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Suppose j - 3 + 8 = 0, t*j - 5 = -n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8)*v)\/v**(3\/2)*(v\/v**(-1\/12))\/(v*v*(v\/v**4)\/v) assuming v is positive.\nAnswer: v**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -j + 5*i + 25, -3*i + 15 = 3*j. Solve j*m = -2 - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/25*10 + -1. Let b be (-1)\/s*20*15\/10. Let r be 30\/(-8)*4\/b*6. Solve 4*g - r = -u, -g = -u - u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:47 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k - 110 = 5*g, 0 = -4*g + 5*k - 97. Let r = g + 46. List the prime factors of r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2767 is divided by 902.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 3. Let h(f) = -7*f - 4. Let k(r) = -5*h(r) + 8*p(r). What are the prime factors of k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-75)\/(-30)*(-4)\/(-5). Suppose q = -3*q - 8, -b = -2*q + a. Let g = b + 10. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p = -90*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -10, 8, -71 in increasing order.\nAnswer: -71, -10, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + (sqrt(153) - (sqrt(153) + (sqrt(153) - sqrt(153)*3))))*6)\/(sqrt(9) - sqrt(18)\/(2*sqrt(2))).\nAnswer: 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 0, -28 = -u - 2*j + 4. Let l be 1125\/(-165) - 4\/u. Is (1296\/(-42))\/2*l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jg when two letters picked without replacement from jjgjjgjjjjpjjpj?\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h - 233. Let f = 35 + -24. What is the remainder when a(-20) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2*k - 160 = o, 0 = 3*o - k - 118. Suppose -u - 4 = -7. Suppose -4*h + o = l, h + u*h = l + 34. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20102*r - 40595*r + 20513*r.\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u. Let x(w) = 22*w + 49. Give g(x(o)).\nAnswer: 66*o + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -3, 2\/9, 2, -8.\nAnswer: -100, -8, -3, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - -13112231?\nAnswer: 13112330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 1. Let d(u) = u**2 - 1. Calculate 6*c(b) + 6*d(b).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/21 - (-4)\/3. Let c be -2 - (-1 + z) - 1. Let g(l) = 5*l**2 + 3*l + 8. Let s(w) = -9*w**2 - 6*w - 15. Let a(u) = 7*g(u) + 4*s(u). Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 63\/28 + (-2)\/8. Factor 0*y**3 - 1\/3*y**4 + 1\/3*y**l + 0*y + 0.\nAnswer: -y**2*(y - 1)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -160935\/7, -2, -5, -3 in decreasing order.\nAnswer: -0.1, -2, -3, -5, -160935\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 44323950833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6578278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/88736416 and 143\/24.\nAnswer: 266209248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three sixteenths of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 2. Suppose 2*m - 3 = -m. Let l = n + m. Which is the third biggest value? (a) l (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1372744 - 0.2\nAnswer: -1372744.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41 by 73192.\nAnswer: -41\/73192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 0.4, 816, -1\/5, -245?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-9) - 112\/(-63). Suppose -4*r + 5*c = 8, -c - g + 0 = -2*r. Which is smaller: 4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:43 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkk. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 28 = 4*w, -3*w - 5 = 4*p + 2. Let x be 1 - (1 + -2)*1. Let m be 5 - (-6)\/(-2) - x. Sort -2, m, p in increasing order.\nAnswer: -2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732756293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32255113 (base 7) in base 3?\nAnswer: -12011212211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + l + 1. Let i(z) = 30*z**2 + 33*z + 33. Calculate 2*i(y) - 66*v(y).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 9 = -g. Let t = -46 + g. Suppose t + 11 = 5*x - 3*f, 2*f = 3*x - 21. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.21013 take away 6063.1?\nAnswer: -6065.31013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 37\/37*(-2)\/(-6)*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2)*4*19700. Round j to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12009 and 3?\nAnswer: -36027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9085661 and 1970072?\nAnswer: 12961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1170*j + 1170*j - 42*j**4 + 2*j**4 - j**4 + j**4 + (2 - 2 - 2*j)*(-2*j**3 + 0*j + 0*j))*(2 + j - 2).\nAnswer: -36*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, x: 3, d: 6, k: 3}. What is prob of sequence vk?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a568b - 7?\nAnswer: 3a5684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/452034 and -17\/276243?\nAnswer: 4972374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1141 - -1152. Solve -a*r - 4 = -7*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30049169 divided by 137.\nAnswer: -219337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799226 (base 11) to base 13.\nAnswer: 3568c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5780330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-135))\/(12\/(-120))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/1056 and 179\/8820240.\nAnswer: 17640480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kh when two letters picked without replacement from {k: 1, h: 1, e: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 9, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203\/108 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*l + 180 = -162. Let y(a) = 3*a + 5 - 3*a - 7*a - 11. Let f(c) = -c - 1. Calculate l*y(t) + 6*f(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -5*c - 106, -5*n = -6*c + 7*c - 634. Suppose n + 99 = 5*i. Is i a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + u + 130, 3*i + 82 = -4*u + 465. Is i a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 486, 492, 504, 522, 546, 576?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 252*c**3*t**2 - 194*c**2*t**2 - c**2*t wrt c?\nAnswer: 1512*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p - 12. Let m be f(-16). Suppose -t = -2*k - 18, -3*t - m*k = -2*t + 6. What is the least common multiple of 8 and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**4\/24 + 8*f**3\/3 + 2*f**2 - 14. Determine n(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f + 2*f + 2*f)*(4*f**2 + 0*f**2 - 6*f**2 + (3*f - 4*f - f)*(1 - 1 + f)) to the form q*f**2 + t*f**3 + i + x*f and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/(-4)*6. Let t(x) = -x**3 - 2*x**2 - 3. Let d be t(o). Find the common denominator of (d\/2)\/((-3)\/(-11)) and -30\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 1456*z - 4386.\nAnswer: 2*(z - 3)*(z + 731)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3*o = -2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {u: 2, d: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 332 = 14*p. Suppose 0 = -n + z - 46, -3*n + 3*z - p = 7*z. Which is smaller: -2\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - s**5 - 2 + 10*s**5 + 3*s**5 - 38*s**5 + 2*s**5 - 1 + 1 + (-s - s**2 + s)*(-s + s**3 + s) + 2*s**5 - 2*s**4 - s**4 - s**5.\nAnswer: -24*s**5 - 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3888, 7541, 10964, 14157, 17120?\nAnswer: 19853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -363\/217 - -113591\/63364. Find the common denominator of 27\/188 and v.\nAnswer: 13724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5*4\/20*-4. Let r(i) = 110*i - 1. Is r(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9994, 19937, 29880, 39823?\nAnswer: 49766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**2 + 0 - c - 1\/6*c**3. Let i = 148 + -144. What is x(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18)*1)\/((-140)\/(-210))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -369 + 205. Let r = s - -4. Let z = r + 159.99921. What is z rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 71, 84, 103, 128, 159, 196?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-4)*(1 - 3). Let d be 0 + (-12 - 1)*m. Suppose -4*n + 101 = 3*v, -2*n - 190 + d = -5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-10)*(-8)\/(-2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 11*v + 18. Suppose 2*t = -2*t + 68. Let x(h) = 8*h + 5. Let g(k) = 23*k + 14. Calculate t*x(m) + v*g(m).\nAnswer: -2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 344115522 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3*(-15 + -32*110\/(-264))?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6837197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 r when four letters picked without replacement from rrrqrqrqqkrqrqqqrqr.\nAnswer: 108\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3777 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of -c**6\/80 - 11*c**5\/120 - c**4\/8 + 11*c**2 + 9*c. Let j(q) be the first derivative of p(q). Factor j(k).\nAnswer: -k*(k + 3)*(3*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6400 divided by 800?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l + l - 2*l + (3 - 2*l - 3)*(-1 - 3 + 2) + 2*l - 2*l + 3*l.\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 671.6602 litres in millilitres?\nAnswer: 671660.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.67841 times -20\nAnswer: 113.5682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.55ml?\nAnswer: 0.00355","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 12*r + 9. Let o be u(-1). Let j(q) = 6*q + 4. Determine j(o).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.5, 0.3, -22.1, 0, 34\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 - 1) + -3 + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a + 3*a = 19680. Does 13 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (0 - 2)) + 49\/21. Which is the nearest to -0.1? (a) x (b) -2\/11 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1182001 and 1986.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101000010111010111011011 - -11?\nAnswer: 1001101000010111010111011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 33 + 2800b?\nAnswer: 2803e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -473*g - 67. Let x be m(-3). Let n = -93 + x. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14906 is divided by 293.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 326, 486, 644, 800, 954?\nAnswer: 1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-19845)\/588)\/((-9)\/120). What is the greatest common factor of 1242 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*j + 1405 = 4027 for j.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2454*t**2 - 4*t - 4. Let b(j) = -2447*j**2 + 5*j + 5. Give -4*b(m) - 5*z(m).\nAnswer: -2482*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**3 + 3153820*d**2 + 497300644025*d - 8952433459290.\nAnswer: 5*(d - 18)*(d + 315391)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of -n**6\/30 - 7*n**4\/12 - 7*n. What is the third derivative of y(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -13 + 104311?\nAnswer: 104276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 49 - 95 = 0. Suppose 0 = 3*y + 2*y + 20. Let q be ((-2)\/y)\/(2\/12). Solve v = q*t + t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 2 + 2*a**2 - 6*a + 3*a**3 + 4*a + a to the form r*a**2 + c*a**3 + p + m*a and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 4:04 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 1 - 1)*(4*t**2 - 6*t**2 + 4*t**2) - t**3 + 2*t**3 + t**2 + 0*t - 2*t.\nAnswer: 5*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*s - 59*s + 135*s + 266 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14783 < 25932?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 + 70140*j**3 + 60307632*j**2 + 17577970704*j + 1715169946896 = 0.\nAnswer: -22498, -294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17161, -34327, -51493, -68659, -85825?\nAnswer: -102991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-18)\/(-8)*128\/84. Let o = 141\/35 - l. Let j = 1.7 - -0.3. Which is the nearest to j? (a) -0.8 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 15 = l + 4*h, 0 = -5*l + 2*h - 24. What is the nearest to -1 in -0.1, 2, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 57 = -5*f, 4*f - 115 = 5*t + 191. Let b = t + 67. Suppose 4*j - 5*r = 54 + 34, -48 = -4*j - b*r. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-7 + 19)) + 13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o = 2*i - 6456, -4*i + 12909 = -o. List the prime factors of i.\nAnswer: 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.407998818 - -1.408. Round m to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -10101100111000010010011011?\nAnswer: 10101100111000010010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -7*k - 5. Let n(s) = 4*s + 3. Let a(r) = -3*b(r) - 5*n(r). Let y(v) be the first derivative of 2*v**3\/3 - 2. Calculate y(a(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153*w + 1059 = -1848 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 194 divide 35114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3103 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -86. Suppose s*x - n - 1 + 7 = 0, -2*x + 2*n - 8 = 0. Put 7, x, -5, 3 in increasing order.\nAnswer: -5, x, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4146413\/105 - 39490. Let s = 32\/3 - 1118\/105. Let z = m + s. Which is the closest to -1\/4? (a) -4 (b) z (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 5)*(0*l - 2*l + 4*l)*(0 + 3 - 4).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (2 - 0 - (0 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-34) + (-26370)\/(-170). Suppose 2*h = z + n, 3*h + 6*z - 265 = z. Is 11 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 18 = -14, 5*w - 3*n = 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)\/(7\/14). Let q(i) = i**2 - 16*i - 56. Let l be q(19). Sort l, -3, r in decreasing order.\nAnswer: r, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 767 and 149923956?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 5, 2, -40, -8 in ascending order.\nAnswer: -40, -8, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 3*j + 16, 12836*j + 75 = 12835*j + 4*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5. Let b be f(0). Suppose -b*u + 0*l + 2*l - 796 = 0, -3*l = -4*u - 641. Let i = u - -237. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of l**6\/40 - l**5\/10 - 5*l**4\/8 + 3*l**3 + l**2 - 21*l. Let x(j) be the first derivative of z(j). Factor x(u).\nAnswer: 3*(u - 3)*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -84, -3, -5, -10, 921 in increasing order.\nAnswer: -84, -10, -5, -3, -1, 1, 921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -9) + (-7 - (24 - (-8 + 13))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2103, -2110, -2117?\nAnswer: -2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8862 + 10113. Calculate the remainder when g is divided by 53.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z - 67 + 145 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5333096 milligrams in grams?\nAnswer: 0.0005333096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, h: 6, u: 1, v: 10, s: 1}. Give prob of picking 2 h and 1 v.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 102 = 4*q - 4*p, -2*q - 55 = -5*p. Let x = -1.5 + 0.5. Is q greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-2)*1 - (-1407)\/14 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(4)*-4 + sqrt(192)*-5)\/(sqrt(324)*-1*1 + sqrt(324) - sqrt(324)).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -804288, -3217503, -7239528, -12870363, -20110008, -28958463, -39415728?\nAnswer: -51481803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(((-1)\/85)\/((-20)\/25)). Let w be 22\/((-2)\/12 - 92\/n). Calculate the greatest common factor of w and 44.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 214 = 4*n, -2*j - 2*j = 2*n - 92. Suppose 232 = 2*k + 2*y + n, 0 = -5*k + 4*y + 468. Is k a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/10 + 2\/(-10). Let n be -413 - (t + (-4)\/(-2)). Let i = -77 - n. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4 - 156*p**3 = 0. What is p?\nAnswer: -39, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -626 - -14c3?\nAnswer: c9b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2112 and 1712777.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 1:57 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*u**3 + 47 - 9 - 100*u**2 + 10 - 8*u - 8*u + 12*u**4.\nAnswer: 4*(u - 1)**2*(u + 6)*(3*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 19 + 4*w - 2*w + w**2 + 53. Let c be i(0). Let t = c - 38. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from szzzzzzzssszs.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of z**3\/3 + 11*z**2\/2 + 12*z - 1. Let j be f(-10). Let h(c) = 3*c**j - c**2 + 0*c**2. Let a(d) = 4*d. What is h(a(v))?\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -5563*z - 13643. What is the tens digit of r(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3400 and 24?\nAnswer: 10200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -47 (base 12) to base 2\nAnswer: -110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -22*z**2 + 0 + 0*z - 5\/3*z**3 - 1\/12*z**4. Let h(r) = 4*r. Let w(u) = -5*u. Let q(o) = 6*h(o) + 5*w(o). What is q(k(a))?\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1, -4, -2, -171 in descending order.\nAnswer: 5, 4, -1, -2, -4, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 5.4. Let q = w + 0.4. Suppose 2*x - 4 = -2*s, -5*s - 2*x + 3 = -1. Is s less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6293 and 8729?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-2)*v)*v)**(-3\/8))**48 assuming v is positive.\nAnswer: v**(-54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4814 is divided by 124?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.054 - -2.004. Let i = g + 0.05. Sort -5, i, -3.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 3:19 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 2. Let v be o(0). Let k = -0.8 - 0.6. Let r = k + -0.6. Which is the closest to -2\/5? (a) r (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 27. Suppose -2*j + 4 = -j. Suppose 0 = j*t + 20, -2*z - t = 2*z - 35. What is the remainder when z is divided by f(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1071864 is divided by 11930?\nAnswer: 10094","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 157494 + 4129.\nAnswer: 161623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.177973 rounded to three dps?\nAnswer: 29.178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6585788 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.63 take away -56?\nAnswer: 53.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454945 is divided by 833.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766 - 9438 = 2*i. Is i < -3836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1538, -1646, -1752, -1856?\n\"Answer: s**2 - 111*s - 1428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00029964 to six decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) - 2\/4. Let f be (10 - 6)*-2 + 5. Which is the third biggest value? (a) x (b) -4\/7 (c) -0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -239 + 237. Let n be (-547)\/t - -5 - (-2)\/4. What is the greatest common divisor of n and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20 + 14?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 291, 292, 305, 336, 391, 476, 597?\n\"Answer: j**3 - 6*j + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**2 + 6*y**2 - y**2.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 16) in base 8?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*c, -6*c = 5*r - 3*c + 103. Let p = r - -15. Let f = 45 + p. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 240965 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 14, n: 4}. What is prob of sequence nnp?\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 126299251*f**3 - 5945*f**2 + 936*f.\nAnswer: 757795506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000093 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 + -26. Suppose -z*o - 75 = 100. Let d(j) = -j. Let x(h) = -3*h - 1. Calculate o*d(u) + 2*x(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0702524604 rounded to three dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 17. Let a = 11 + o. Let s = -3 + 5. What is the closest to 0 in s, a, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/24 + u**3\/2 - 6*u**2 - 13. Let g(z) be the second derivative of k(z). Let a be g(3). Which is smaller: -2\/15 or a?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1100 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 955 a factor of 37365287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 70775*t**2 - 70775*t**2 - 1 + 2*t + 2717*t**3 in the form l*t + o*t**2 + z + g*t**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 403 = -r, -3*y + 6*r = 2*r - 406. Suppose -34 = -7*c + y. Calculate the remainder when (2 - c)*(-1 + 0) is divided by 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 177 = -5*i, -2*h + 6*h - 2*i = 142. Does 11 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbebgebrrkr. What is prob of sequence rebb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2046)\/(-1364)*8\/(-3))\/(-54)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 103*h + 103. Let w be k(-1). Solve 16 = 2*u + 3*j + 3, w = -4*j + 12 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107933584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 12 = 5*q + g, -4*q + g + 10 = 0. Let r(s) be the third derivative of 0*s**3 - 1\/48*s**4 + 0*s - 1\/120*s**5 + 0 + 3*s**q. Factor r(y).\nAnswer: -y*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10104030 (base 6) in base 8?\nAnswer: -1063522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1620, 1637, 1656, 1677, 1700, 1725, 1752?\n\"Answer: m**2 + 14*m + 1605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/8*(-5 - -3). Suppose 2*s - l*s + 90 = 0. Let a = s + 4. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2753993*g**3 + 5*g**4 + 2753993*g**3 + 643*g - 3 to the form l*g + w*g**3 + z + q*g**4 + o*g**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2035379*u**4 - 5*u**2 + 7*u - 128286858?\nAnswer: 8141516*u**3 - 10*u + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -6*t**2 + 4*t. Suppose 8026*f = 8016*f + 30. What is s(f)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 495081.\nAnswer: 3, 55009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 53 = 3. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -2\/21, -1, 0.3, -6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4937489 to the power of 1\/3, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3259 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 10:04 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*k**3*r + 1333974*k**2*r - 2*k*r + k - 7504*r + 6370 wrt k.\nAnswer: 504*k*r + 2667948*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - -6?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47146483 rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*o - 31 = 20*o. Calculate the remainder when o is divided by 0\/(-2)*-1 - -8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 2*w - 15. Suppose h - 16 = w*h. Let f be (3\/2)\/((-3)\/h). Let k(q) = 5*q - 1. What is k(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -10 - ((-4 - -1) + 182 + -186)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1148?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 3. Let w be g(5). Let n = w - -11. Suppose 14*h - 10*h - 16 = 0. Solve 0 = 4*j, -b - h*b - n*j - 25 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 50*r**4\/7 - 1270*r**3\/7 + 7332*r**2\/7 - 12456*r\/7 + 6480\/7 = 0.\nAnswer: 6\/5, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -5*g + 5*h, -24*g + 23*g + 5*h + 26 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 344, 334, 310, 266, 196, 94, -46, -230?\n\"Answer: -d**3 - d**2 + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 44a4 - 4?\nAnswer: 44a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 6:35 AM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 6. Let l(b) = -2*b - 13. Let w be l(-10). Let u be o(w). Suppose -2*y - u = -r, 5*r + 30 = -7*y + 3*y. Sort -2, 5, y.\nAnswer: y, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 15. Let n be v(-9). Let k be (10422\/36)\/(n\/(-16)). Let t = 1673 + k. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -219241\/882 + 32\/441. Let n = s + 248. Let o = -8.01 - -8. Which is the nearest to o? (a) -4 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2464 and -3409107596.\nAnswer: -3409105132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1361, -6071, -13925, -24923, -39065?\n\"Answer: -1572*w**2 + 6*w + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (27 + 0)\/3. Let g be (-8)\/6*h\/8. Suppose 2*f - 2 = -2*l, -6*l + l + 17 = g*f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5736*a**2 + 2962 wrt a.\nAnswer: -11472*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -933 - -928. Sort 0.1, -0.2, f, -32 in ascending order.\nAnswer: -32, f, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1920 and 38144?\nAnswer: 572160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1436?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49188.\nAnswer: 2, 3, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204 + -199. Solve 2*w - 3 = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -451946*p. Let n(q) = -q. Give h(n(c)).\nAnswer: 451946*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 242412 + -11?\nAnswer: 242401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 4, -1, -97, 37 in increasing order.\nAnswer: -97, -11, -1, 0, 4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*t**2 - 421*t**2 + 7*t - 10*t to j + o*t + h*t**2 and give h.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((10974\/4402)\/(-59))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 - 39. Let i = 25.00000013 + c. What is i rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 33, 59, 87, 117, 149?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -1\/13 (c) 15 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.603682 rounded to two dps?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 8*v - 7. Let u be h(-5). Let m = 48 + -12. Suppose 4*q + 2*d = -2*d + 60, 4*d - m = -2*q. Calculate the greatest common factor of u and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/49*4\/4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 0*l**2 + 39*l**3 + 0*l - l + l**2 - 37*l**3. Let k be c(1). Find the first derivative of 1 - 7 - k + 6*q**2 wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 3893, 4436, 5953, 8930, 13853?\n\"Answer: 81*f**3 + f**2 - 27*f + 3838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -12834, -12942, -13130, -13404, -13770?\n\"Answer: -i**3 - 34*i**2 + i - 12800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 50\/7 of a week?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-46)\/805)\/((-33)\/((135\/2)\/(-9))))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (126\/(-30))\/(2 - 5). Which is the nearest to l? (a) -0.4 (b) -0.2 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*p + 12. Suppose 5*g - d = -514, -d + 2 = -2. Let n = p - g. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 3*s**3 - s**3)*(-129 + 129 + 17*s).\nAnswer: -34*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*v**2 + 2194*v + 122.\nAnswer: -2*(v - 61)*(18*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -114.48?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 + 10*c + 4. Let g be j(-7). Calculate the greatest common divisor of g and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18477, -73940, -166385, -295812?\n\"Answer: -18491*f**2 + 10*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*(59 - -2) + 0?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 41*u + 26 = 46*u, -2*s - 4*u = -22 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:16 AM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t*t**5)**(47\/5)*t\/(t**(-5\/6)\/t)*t**(-5)*t*t\/(t**6*t)*t*t**(-8) assuming t is positive.\nAnswer: t**(3523\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 17*n - 3 - 3 - 9 - 4*n**2 + 3*n**2. Let m be v(16). Let y be (-2)\/(-1 + (-10)\/(-6)). Sort y, 5, m in increasing order.\nAnswer: y, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 3*r + 130409, -99*r - 97807 = -3*l - 97*r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04 + 0. Let t = -4\/9 - -1\/9. Is v smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356581 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 779.2137424 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 16667897?\nAnswer: -16667897.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 6837.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2066*v - 762461. Give b(369).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (33 - 31 - (1 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d - 7. Let y be u(-7). Suppose y = -s + 6 + 3. What is the units digit of 3 + -1 + -2 + s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 8*n + 12. Give i(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 1. Let w be ((-99)\/36)\/(1\/(-28)) + 4. Let t(s) = -5*s - 42 + 3*s + w - 38. What is 4*g(a) + 3*t(a)?\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 at least -6227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 121?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 15, s - w - 3 = 0. Suppose -15 = 3*t + 4*d, -3*d - 17 = 2*t - s. Is 1*148 + (t - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 + 3*q**2 - 6*q**2 - 6*q**2 + 3*q**2 + q**2 + 2*q**2 - 5*q**2 + q**2 + (2*q**2 - 3*q**2 + 4*q**2)*(0 - 1 + 3) to f*q**2 + p*q + c and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492221.15 nanoseconds in weeks?\nAnswer: 0.000000002467296875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*c - 117 = -10*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6, 26 in decreasing order.\nAnswer: 26, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 3.4456?\nAnswer: -3.7456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.1 = -3\/2483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*m - 6 = 27, -4*m = -3*y + 7. Solve y*s + 2 = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 30. Calculate the least common multiple of 25 and w(6).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 717, 719, 721?\n\"Answer: 2*w + 715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5888.39 rounded to the nearest ten?\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*((-7320)\/2196)\/((-10)\/72).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/5 - 33*l\/5 - 84\/5.\nAnswer: -3*(l + 4)*(l + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -17. Solve -o = 2*t + 4*o + 23, -n = t + 3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249963 divided by 3?\nAnswer: 83321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44\/12 + (-7)\/(-21). Let c be (-2)\/9 - w\/18. Let s = -1.8 - -2. Is c not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16, 25, 34?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o + 11*o - 117*o**2 + 2 + 15*o.\nAnswer: -117*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 765\/1072?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8409323 divided by -37\nAnswer: 227279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1590, -12337, -41402, -97941, -191110, -330065, -523962, -781957?\nAnswer: -1113206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 7414*z - 4764. Does 37 divide l(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - 2*s**2 + 496*s - 2025. What is y(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + 45\/(-20))\/((-5)\/(-80)*3). Solve 0 = 9*y + m + 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -5, 11.9, 33, 1\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 183909180*a - 49 + 138 + 183909179*a.\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, s: 2, a: 3, t: 2}. Give prob of sequence kt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/1)\/(0 + 1). Let a = x - 1. Let z(i) be the first derivative of -i**4\/4 + i**2\/2 + 5*i - 20. What is z(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(119)*1 + sqrt(119) + sqrt(119))*5)\/((sqrt(63)*-1)\/sqrt(9)).\nAnswer: -15*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 10, 0 = -p + 2*p + 5*g + 171. Let k = p - -1175\/6. What is the third smallest value in k, 2\/5, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (36 - -7) + -7 + (-2 - -4). Let o be 47*2 - (-3 - -2). What is the greatest common factor of o and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + o + 9 = 0. Let b(p) = -o - 2 + 2 + p**3 - 6*p**2 - 5. Let x = 19 - 13. Determine b(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2866359.72 or 2\/3?\nAnswer: -2866359.72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01582814 rounded to 4 dps?\nAnswer: 0.0158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18225?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*k**3 - 4*k**2 - 8*k**3 + 33*k**3 to the form g + d*k + t*k**3 + s*k**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682888?\nAnswer: 2, 85361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1229 in -0.1, 55\/3, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 + -3 + -6 - (2 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1110 a multiple of 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + h + 25. Let f = -6 - -24. Calculate the remainder when f is divided by d(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -59*v - 112. Let p be n(-2). Let k(b) = -9*b - 2*b**2 + 3*b**2 + 6 + 3*b. Give k(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (16 + -1) - 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 53082020 to the nearest one hundred thousand.\nAnswer: 53100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -18, 11, 62, 141?\nAnswer: 254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2209 - -31?\nAnswer: 223a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Let j be 1 - -1 - (1 + -1). Let m be 11\/4*(j - -2). Solve n = -2*l - 1 + m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5248999346 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 24. Suppose -4*p - 596004 = t*v, -8*v = p - 4*v + 149008. Round p to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8371 + 8433. Is 38 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*d - 4*m - 1, 0 = -5*d - 4*m + 21. Let j(u) = 2*u - 3. Let g be j(3). Which is the second smallest value? (a) d (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*5*sqrt(28)\/sqrt(4) - 3*(sqrt(343)*3)**2.\nAnswer: -9261 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 13) to base 10\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j + 1. Let d be a(-1). Let p(t) = 28 - t**2 - 39 - 2*t - d*t - 10*t. Is p(-13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o**(-5\/3)*o)\/o*o)\/o)**(-1\/61)*o**13\/((o**(8\/7)*o*o)\/o) assuming o is positive.\nAnswer: o**(13901\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 82*w**3\/3 + 35*w**2 + 8424*w - 7459. Differentiate y(j) with respect to j.\nAnswer: 164*j + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 1022?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31843147, 31843145, 31843143, 31843141, 31843139?\nAnswer: 31843137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*x - 363150 = 4*x. List the prime factors of x.\nAnswer: 3, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -5, 1231?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -37*w - 16. Let y(d) = 25*d + 11. Let i(r) = -5*m(r) - 8*y(r). What is i(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 68*c**2 + 377*c - 76*c**2 + 1183*c + 690*c + 3*c**4 - 43*c**3 wrt c?\nAnswer: 36*c**2 - 258*c - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3827 and 104662969?\nAnswer: 104662969.3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 688 divided by 518.\nAnswer: 344\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*f + 516 = -31*f - 173 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 269b - -31?\nAnswer: 26cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1763, 3530, 5297, 7064?\nAnswer: 8831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p = -9*p - 34*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - -118566?\nAnswer: 118551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**3 + 0*m**2 + 4 + 2*m**2 + 3 - 8. What are the prime factors of h(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4032*u - 419*u + 134103 + 75451 for u.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -89101*j**4 - 61*j**2 + 3*j + 89101*j**4 - 2360*j**6 wrt j.\nAnswer: -283200*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.06286 - -0.06286. Let m be 6308\/(-3696) - 4\/(-2). Let x = -1\/132 + m. What is the nearest to 5 in x, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -16, -6, 8?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*b**3*f**3 - 5*b**3*k - b**2*f**2*k - 485*b**2*f*k - 6*b*f**3*k wrt b.\nAnswer: 120*f**3 - 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 7*x + 1. Let r be p(7). Sort r, -3\/5, -0.8 in decreasing order.\nAnswer: r, -3\/5, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -331*r**8\/84 + 7*r**5\/12 - r**4\/4 + 8*r**2 + 24*r. Find the third derivative of y(l) wrt l.\nAnswer: -79440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 15*d**2 + 15*d - 24. Let t(g) = -g**3 - 22*g**2 + 18*g - 101. Let j be t(-23). What is h(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 15915176.4 to the nearest 10000.\nAnswer: 15920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 655*l - 9. Let c(j) = 366*j. What is a(c(n))?\nAnswer: 239730*n - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/4, 0.3, -35, -2\/27, 0 in decreasing order.\nAnswer: 0.3, 0, -2\/27, -7\/4, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 - 28027*n + 3*n**2 + 59376*n - 29696*n + 1 - n**2 - 1 + (-n**2 - 2*n**2 + 5*n**2)*(2 + 1 - 2).\nAnswer: 3*n**2 + 1653*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from eoppets.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -268 - (1 + (1 - 0)). Let i be (-2)\/15 + (-1116)\/l. Find the third derivative of i*p**2 - 5*p**2 + 3*p**5 + 6*p**5 - p**2 wrt p.\nAnswer: 540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - 4*h + 32. Let a be u(-11). What is the units digit of (108\/(-45) - -2)\/(1\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120157054?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = 5*w + 12, 24*w + 3*x - 3 = 27*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 4*h**2 + 5. Suppose -3*t - 2 = 2*w + 1, 3*w + 2 = -4*t. Let f = w - 2. List the prime factors of z(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 2 (c) -3 (d) -108\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 4. Let t = l - 7.925. Round t to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0\/(3\/(-3)))\/(19 + -17). Suppose -6*y = -u*y. Suppose -f - 2 + 5 = 0. Solve -3*p + 2*i + 3 = 4, 5*p - 2*i + f = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 12:01 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 19987394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -12*p**3 + 3*p**2 + 5*p + 5. Let k(c) = c**3 - c - 1. Let i(x) = -5*k(x) - m(x). Let q(n) = 84*n**3 - 35*n**2. Calculate 35*i(o) - 3*q(o).\nAnswer: -7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*m - 131 = 0, -4 - 4 = 4*m. Let z = f + -20. Let r be 12\/(-4) + 14\/z. What is the third biggest value in r, -1, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616202?\nAnswer: 2, 3, 7, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t + 97. Let i be 15\/(-20)*((6 - 2) + -12). What is the remainder when c(i) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -23*(-3 + 2 + 0). Let v(d) = -d**3 + 15*d**2 - 25*d - 26. Let y be v(13). Let q = n + y. Solve 0 = 3*k - 8*k - q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*r - 113*r = 27*r + 2500 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of 19*n**5\/20 + 25*n**4\/24 - n**2 + n. What is the second derivative of f(o) wrt o?\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 294, 197, 48, -141, -358, -591, -828, -1057?\n\"Answer: 2*z**3 - 38*z**2 + 3*z + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2042314 (base 5) in base 8?\nAnswer: -102444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 322, 645, 974, 1309, 1650?\n\"Answer: 3*d**2 + 314*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - v = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -467*s**3 - 187*s.\nAnswer: -2802*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1001 + 273 + 742*a**2 - 741*a**2 as m*a**2 + z + g*a and give z.\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -15*b**2 + 239*b**2 + 4*b - 2 + 9. Let n be f(-2). Let d = n + -194. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -87 + 55. Let g be 21 - 44\/(-4) - -2. Let x = g + r. Solve -8 = 2*l + x*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 - 15*z - 12 + 24 to the form y*z + m and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31546769 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 177583351?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -3 + (2 - 0). Let f be (1 - 6)*7\/(-7). What is the third derivative of -2*z**5 + p*z**f + 2*z**2 - z**5 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -4, 0.01?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -19. Suppose -a*u = 3*u + 8*u. Solve u = 4*d + 5*m + 3 - 0, 2*m = d - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125691.9 hours in days?\nAnswer: 5237.1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 93160339877+0.4\nAnswer: 93160339877.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245118 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 311, 4, -2, 738, 0 in ascending order.\nAnswer: -2, 0, 4, 311, 738","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -6, -32, -88, -186, -338, -556, -852?\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q**2\/2 + 699*q - 5688 = 0. Calculate q.\nAnswer: -474, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:14 PM?\nAnswer: 5:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -95 and -0.8.\nAnswer: -95.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*k**3 + 186*k**2 - 603*k - 270.\nAnswer: 3*(k - 3)*(k + 15)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33687, -33686, -33683, -33678, -33671, -33662?\nAnswer: -33651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a + 9. Let l be ((-2)\/a)\/((-6)\/(-27)). Solve 0 = -l*b - 8 + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-10)*12\/63?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x**2 + x + 3. Let p be v(2). Let q be 54\/(-14) + p\/49. Let f be 0\/(-7 - q) - -2. Solve f*w + 2 = 5*u + 5*w, u + w = 2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53778.92l in millilitres?\nAnswer: 53778920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 4*q - 3628 - 687, -5*u + 3215 = 3*q. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*v - 499 = -175*v + 1933 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2761, 5520, 8281, 11044, 13809?\nAnswer: 16576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*i - 5763 = -557*i - 19763 for i.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201621 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7776 and 101664.\nAnswer: 2744928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*f + 0*f - f)*(-14*f + 3*f - 3*f + (2*f - 5*f + f)*(-5 + 2 + 2) + 12 + 2*f - 12) to the form s*f + g*f**2 + n and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.03 + 0.03. What is the second smallest value in w, 3\/4, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*m*p*u**3 + 2*m*p*u**2 - 2*m*u**2 - 8*m - 5*p*u**3 + 2*p*u - 10*u**3 wrt u?\nAnswer: -30*m*p - 30*p - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35261159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**4 + 1419*g**3 - 8*g**2 - 6*g + 146. Let a(f) = 2*f**3 - f**2 - f - 2. Let k(v) = 6*a(v) - d(v). Find the third derivative of k(m) wrt m.\nAnswer: -24*m - 8442","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4263 - 616. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12806.986191 - -12807. What is d rounded to 4 dps?\nAnswer: 0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (15\/(-6))\/((-120)\/281616).\nAnswer: 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -272, -1060, -2366, -4190, -6532?\nAnswer: -9392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 124 and 49832?\nAnswer: 1544792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8370707*z**4 + 8*z**3 + 33*z - 5354055.\nAnswer: -100448484*z**2 + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than -5772801?\nAnswer: -5772805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 599.9, 1\/8, -0.3 in increasing order.\nAnswer: -0.3, 1\/8, 599.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80323, 160335, 240325, 320281, 400191, 480043?\nAnswer: 559825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*(-9 - (-1765)\/195). What is the closest to 0 in 0.3, -562, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/5 (b) -4 (c) -0.06 (d) 0.3 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582929.\nAnswer: 29, 20101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189092.\nAnswer: 2, 41, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 11*t + 8 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2672?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 83027.209 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 2)\/2 - -8. Suppose i*v - 22 = 10. Solve -q + 5*f = 21, v*q + 3*f = -f + 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5*s - 2*s)*(-1441*s + 4305*s - 1155*s + 4577*s) - 2*s**2 - 11 + 11.\nAnswer: 6284*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 6*p**2 - 6*p - 2. Let i be l(-4). Let u = 5.00014 - 0.00014. Which is the second smallest value? (a) -4 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**5\/9 + 800*j**4\/9 + 13570*j**3\/9 - 69620*j**2\/9 - 11960*j\/3 + 33616 = 0. Calculate j.\nAnswer: -382, -22, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -1702955.\nAnswer: -1702950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 + 10*z**2 - 9*z - 6. Calculate the least common multiple of 20 and v(-6).\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 25*b + 22*b = -23, 5*x - 2*b + 20 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4*g - 3*g + 2*g + 5 + g. List the prime factors of p(-10).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 56, -0.1, 2, 2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 1\/3 (c) -17415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(1\/14))\/(g\/(g**(-3)\/g*g)))**(-5)*g**(1\/3)\/(g*g**(-3)\/g*g)*(g**2*g*g)\/g**5 assuming g is positive.\nAnswer: g**(461\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, x: 3, m: 1, i: 2, r: 3}. Give prob of sequence ix.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 34 = 3*l, 2*f - 10 = -4*l + l. Suppose -l*m + 72 = 12. Calculate the highest common factor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-4 + -8 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66228?\nAnswer: 2, 3, 5519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 - 10191*g + 708471. Determine o(70).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 736*x**3 + x - 56*x**3.\nAnswer: 680*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 101. Let p = q - 37. What is the remainder when p is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -4, -19, -1, 7 in increasing order.\nAnswer: -19, -4, -1, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/1*(12\/14)\/6. Which is the nearest to -2\/3? (a) s (b) 2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1617 times -0.3\nAnswer: -485.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 1260?\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 2)*(1 + 2*i - 1)*(-3 - 2 + 3).\nAnswer: 12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**3\/6 + 2*s. Let b(k) = 3*k + 5. Let o(t) = 4*t + 6. Let z(c) = -6*b(c) + 5*o(c). Calculate w(z(m)).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**4\/4 + 29*n**3\/6 + n**2\/2 - 1445*n. Give i(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -173. List the prime factors of g.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + -41. Let v(w) = -w**3 + 3*w**2 + 5*w - 6. Let b be v(c). What are the prime factors of -1*(0 - b) - (-16 + 4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -372\/11 or 2\/65?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1\/5, 288 in descending order.\nAnswer: 288, 5, 3, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 - 4*g**2 + 4*g**2 + (-5*g**2 + 10*g**2 + 30*g**2)*(-g + 5*g - 2*g) + (0*g - 3*g + g)*(2*g**2 - 1 + 1) to n*g + a*g**2 + p + t*g**3 and give t.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -10*c - c**2 + c - 2 + 11. Suppose -5*q - 16 - 34 = 0. What is t(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5717351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ktxxxxxkxxtxxxktxx?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -4. Let g = 7 + m. Put 2, g, -2\/5 in ascending order.\nAnswer: -2\/5, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*x - 0*x - 18, -2*x = -2*n. Let m be ((-7)\/((-105)\/(-12)))\/(-1 + -3). Factor 1\/5*f - 1\/5 - m*f**3 + 1\/5*f**x.\nAnswer: -(f - 1)**2*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 40*p**5 - 90730*p**4 + 203955*p**3 - 33980*p**2 - 22660*p = 0.\nAnswer: -1\/4, 0, 1\/2, 2, 2266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 216 in -0.4, -5, -0.351, -4?\nAnswer: -0.351","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5917760 divided by 369860\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 26 - 10. Suppose 530 = -32*j + 1554. Calculate the highest common divisor of j and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14302387 (base 9) to base 10\nAnswer: 7087660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**3 + 4*r**2 - 3. Let l(t) = -t**3 - t**2 + 1. Let a(n) = -i(n) - 4*l(n). Determine a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -0.28. Let d = a + 0.2. Let k = 0.02000015 + d. What is k rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 550 + -553.177. Which is smaller: 1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2357, -2356, -2345, -2318, -2269, -2192, -2081?\n\"Answer: i**3 - i**2 - 3*i - 2354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 119*z + 136. Let u(p) = -17*p - 20. Let i(n) = -5*t(n) - 34*u(n). Let h(k) = -38*k + 10*k + 18*k. Give h(i(v)).\nAnswer: 170*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -42411523?\nAnswer: 42411523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1060 = 4*n, -2*o = 2*o. Suppose 0 = 5*m - 135 - n. Suppose 3*q - m = -2*q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -5*k**2\/6 - 20*k - 110\/3 = 0.\nAnswer: -22, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*b - 8 = -45*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -1012644900 to the nearest one million.\nAnswer: -1013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -42e74 (base 16) in base 8?\nAnswer: -1027164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282061 and 2704.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**7\/210 - m**6\/75 + m**5\/50 + 2*m**4\/15 + 7*m**3\/30 + m**2\/5 - 8*m - 4. What is r in s(r) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 40 = -6*u. What is the derivative of -6 - 27*p - 11 + u + 0 wrt p?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*f**2 + 22*f**2 - 15*f**2 - 6 wrt f?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6033*k**3 - 12055*k**3 + 6031*k**3.\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - t - 1. Let h(d) = -13*d**2 - 6*d - 1. Let s(r) = -h(r) + 2*m(r). Let l be s(10). Suppose -14 + l = 5*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*u**3 - 48*u**3 - 28*u**3 - 47*u**3.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/60 + t**5\/30 + t**3 - 2*t**2. Let x(r) = -r**3 - r - 1. Let p(b) = -w(b) - 3*x(b). Is p(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, -5, -0.3, 92 in decreasing order.\nAnswer: 92, -0.3, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1291, 2960, 4629, 6298?\nAnswer: 7967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t)*(3 + 3 - 3)*((3 + 3 - 3)*(5 - 4 - 2) - 4 + 4 - 2 - 1 + 0 + 3)*(0 - 1 - 3)*(-74*t**3 + 147*t**3 + 36*t**3).\nAnswer: -7848*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 233094947 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2526 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4677448 (base 9) in base 12?\nAnswer: -a20b68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 100 - 91, 5*n - g - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 3*i - 10*i.\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 66, 0, 17 in ascending order.\nAnswer: -255, 0, 17, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11605 - 6810 = -5*d. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369740091 by -3.\nAnswer: 123246697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 2*k - k + 2*s, -3*k + 97*s + 136*s + 327 = -63*s + 209*s for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -b + 22, -225*g + 220*g + 23*b = 136 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**5\/7 - 32*o**4\/7 + 360*o**3\/7 + 2592*o**2\/7 - 2916*o\/7 = 0.\nAnswer: -9, 0, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = -0*x. Suppose 4*a - 9 = 2*a + 5*j, -30 = -2*a - 2*j. Suppose 5 = w, -2*w + 42 - a = 4*m. Calculate the greatest common divisor of x and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/96 - 8\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*q - 283846, 0 = 2*o + 57*q - 61*q - 113536. List the prime factors of o.\nAnswer: 2, 5, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 191, 269, 337, 401, 467?\nAnswer: 541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**4\/9 - 2*h**3 + 4*h**2.\nAnswer: 2*h**2*(h - 6)*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5668 + 11587. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1c43 (base 15) to base 13\nAnswer: 2a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-528)\/(-80))\/(26\/20). Let u = o + -2812\/559. What is the second smallest value in u, -2, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 + 229 = -141*l + 8. Let q(v) = -5*v + 2. Let g be q(2). What is the nearest to g in 0.1, 3\/2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34968 and 888.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -7. Let t(l) = l + 8. Suppose -6*z + 50 = 5*h - 2*z, 55 = 5*h + 5*z. Determine h*r(j) + 5*t(j).\nAnswer: 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**6\/150 + f**5\/50 - 11*f. Suppose k(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*l**2 + 14*l**2 + 3*l**2)*(-3 + 0 + 1)*(-2*l**3 - 2*l + 2*l).\nAnswer: 108*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -97669, 3\/2.\nAnswer: -97669, -5, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1066, -72, -20, -4 in increasing order.\nAnswer: -72, -20, -4, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d + 13. Let f be y(6). Calculate the smallest common multiple of f\/((-6)\/(-9))*(-32)\/(-12) and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178762.\nAnswer: 2, 13, 45337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, b: 5, j: 6}. What is prob of picking 1 j, 2 c, and 1 b?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4066 and 741.\nAnswer: 158574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -7*c**2 - 2*c - 1. Suppose -s - 4*q + 1 = -6, 3*q = -s + 5. Let r be j(s). Let n = 1 + r. Let l(p) = p**3 + 5*p**2 - 2*p - 7. Determine l(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 36 (b) -13\/4 (c) 0 (d) -2\/121 (e) -1\/3 (f) 0.5 (g) 3\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqfk when four letters picked without replacement from fkkqqkykkfk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/78162 and -113\/48.\nAnswer: 625296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 + -21. Calculate the greatest common divisor of 180 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.096 (b) 0.3 (c) 2 (d) -4 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k**4 - 692*k**3 - 1088*k**2 + 368*k = 0. Calculate k.\nAnswer: -23, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 145*j + 277*j - 9*j - 10.\nAnswer: 413*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22677 - -22679. Solve -w - q = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4425\/(-354))\/(5\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -82.99613 - 0.00387. What is the closest to r in 4, 1, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 35 = 2*t + 13, -4*t + d - 69 = 0. What is the remainder when 83 is divided by t\/(-2)*(28\/3)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407 - 243. Suppose -f + 3*f = j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3154873 and 786?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m\/m**(2\/7)*m**(-1\/7)*m)\/(m\/m**(-1)*(m*m*m\/((m**0\/m)\/m)*m)\/m))**(-36))**(-39) assuming m is positive.\nAnswer: m**(-33696\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -843736 = -20*p + 306004. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 0.2034.\nAnswer: 0.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -41 - 9. Let g be (-1)\/(2 + (-49)\/25). List the prime factors of (-4)\/r - 310\/g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 7*q**2\/2 + 2127. Let k(t) = 64*t. What is m(k(p))?\nAnswer: 448*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 17*a**2 - 16*a - 23. Let l be o(18). Suppose -l*h = -5*h. Suppose 112 = f + q, -4*f + h*f + 466 = -2*q. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*m = 61*m - 1155. Calculate the remainder when m is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 6*n**2 + 5*n - 28. Let z be k(6). Let f(p) = z*p - 1144 + 1144. Let y(r) = -r**2 + r**2 - 2*r**2. What is y(f(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -29525040 divided by 7381260?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1937 - 3869\/2. Which is the smallest value? (a) g (b) 0 (c) -121 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 18*a. Let w(z) = 9*z**2 - 13*z + 13. Let l(y) = -4*y**2 + 6*y - 6. Let v(o) = 13*l(o) + 6*w(o). What is h(v(f))?\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s + 25*s - 2*s.\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9387305173 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 0 + 3 + -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.12 + 0.11. Let y = -0.05 + u. Let k = y - 0.34. Put k, -3, 0.02 in descending order.\nAnswer: 0.02, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/35, -0.16, -0.3?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 211 - 381 = 0. Calculate the remainder when z is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -794504 or -15095583\/19?\nAnswer: -794504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 38358757 to the power of 1\/3, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685 divided by -23627.\nAnswer: -685\/23627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267 and -0.185647?\nAnswer: 49.567749","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o - o + 1 + 5*o - 2*o to the form u*o + s and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 2*i**2 - 4*i - 6. What is x(-5)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 176 or -0.04?\nAnswer: 176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/4*(-12)\/(-27). Let n = -0.35 - -0.05. Let k = n + 0.3. What is the third smallest value in k, h, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -214116*k + 935. Is n(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 4*j - 3*i + 5, j + i = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -25. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.5 + 1.5. Let a = t - -1. Let r = a - 4. Which is greater: 0.1 or r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**18*x\/(x\/x**(1\/6))*(x*x**(-8))\/(x*x\/(x**(2\/7)*x)*x*x) assuming x is positive.\nAnswer: x**(355\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28 and 4070472.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 6. Let h(t) = t + 8. Let d be h(-7). Suppose -17 + d = -4*v. Let l be n(v). Solve -q = -3*c - c - 1, 0 = 2*q + l*c - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 5 + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 183\/(-1098) + 109\/6\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*m = -7, -3*l + 5*l - 4 = 4*m. What is the greatest common factor of 64 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + q + 3 + (1 - 1 + 2)*(-2*q - 1 + 1) + 0*q + 0*q - q + q - 2*q - q + 5*q - 2*q - q)*(1 + 3 - 3) in the form v + p*q and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131564145*d**6 + d**5 - 5*d**2 - 25502509*d.\nAnswer: 15787697400*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**3\/6 - 5*d**2\/2 - 7*d. Give u(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 18 + 90 = 0. What is the highest common factor of 18 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, g: 3, j: 1, s: 1, e: 3, x: 5}. What is prob of sequence sef?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 s, and 1 b when four letters picked without replacement from {s: 2, i: 3, b: 5, q: 2}?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*42\/2800*(-25)\/30?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77.29082643 - 25.29082895. Let p = d + -52. What is p rounded to seven dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q**4 - 115 - 196 + 6*q + 309 + 2*q**2 - 6*q**4 to c*q**4 + b + v*q + w*q**3 + r*q**2 and give c.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/3395 and 13\/5335.\nAnswer: 37345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of -y**8\/14 - y**5\/10 + y**4\/2 - 3*y. What is the third derivative of v(j) wrt j?\nAnswer: -480*j**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (3 + (-1 - 0)). Suppose -38 + 0 = -4*c + b*u, c - 16 = 4*u. Solve 5*f + 12 = -c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/19 + 23038*f\/19 - 46084\/19 = 0. What is f?\nAnswer: -11521, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5194 > -5193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(405) + 2 + -4*sqrt(405)*1)**2*-1.\nAnswer: -3654 - 162*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 12*b - 33. Let i = 75 + -68. Let v be r(i). Solve 2 = 2*y - 4*u - v, 0 = 5*u + 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389724429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-210) + 8\/(-40).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -2*b - 616. Let k be 407\/b + (-3)\/(-8). What is the greatest common divisor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -7 (b) -5 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 14, -2.6, -5, -0.0341?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 49. Let j be 1032*(-1 + 6\/f). Suppose 2*o + j = 4*n, 0*o - 4 = -o. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 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: b\"What is the kth term of -64824, -64827, -64830, -64833, -64836?\n\"Answer: -3*k - 64821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 9 (b) 2\/9 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1685 - 1781 = -12*l. What is the remainder when 126 is divided by l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 154.6 + -155. What is the nearest to -16 in b, 0.8, 2\/21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 50000008. Let f(m) = -5*m - 150000022. Let z(b) = -4*f(b) - 11*j(b). Let y be z(0). Round y to the nearest one million.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 44 = -6*w. Let p be (-1)\/(((-33)\/54)\/w). What is the greatest common divisor of 18 and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate q**3*r**3*v + 899*q**3*r + 2*q**3*v - 128*r**3*v + 2*r**3 with respect to v.\nAnswer: q**3*r**3 + 2*q**3 - 128*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5857 is divided by 1265.\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2583\/123)\/(267\/1513)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12084826979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1948492, -3896994, -5845494, -7793992, -9742488, -11690982?\nAnswer: -13639474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2095 (b) 4 (c) -2\/11 (d) 0.2 (e) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75\/61 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)*j)**(-17)\/(j**9*j**(-2\/11)) assuming j is positive.\nAnswer: j**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*sqrt(57))\/sqrt(3).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((5 + -1 + sqrt(1216) - (sqrt(1216) - (-1 + sqrt(1216) + -5) - sqrt(1216))) + (-2*(sqrt(1216) + 1) - (2 + sqrt(1216)*-1)))**2*-3*6.\nAnswer: -22541 + 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + v + 9, a + 4*v + 16 = -a. Solve s - 6 = -0*s + 5*x, -s + x + a = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 + 9*b + 17. Let j be o(-8). Suppose j*f - 399 - 357 = 0. What is the greatest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of 1\/2*q**4 + 0*q**2 + 0*q**3 - 10*q + 0. Let x(a) = -2*a**2. Determine y(x(r)).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 12.2. Let j = -3.2 + g. Which is the second smallest value? (a) -3 (b) j (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 26*u + 81. What is g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1190*u + 300*u + 292*u + 301*u + 290*u.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**2 + y. Let p be r(1). Is (1 - -1 - p) + 10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1011099166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31693 is divided by 148.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -21*n + 10*n. Let p be 2018\/2 + (1 - 1). Differentiate p + 4*k + n*k - 990 with respect to k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 2*s + 11, s + 4*s = -2*d - 22. Suppose 5*z = z - 64. Is (-4 + z)\/(s - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.54892057 rounded to 3 decimal places?\nAnswer: 2.549","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + a165?\nAnswer: a163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1504357 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -22*1*7\/(-7). What is the highest common divisor of f and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6952724 to the nearest integer?\nAnswer: 2637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 6*u**2 + 4*u - 7. What is w(6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-13)))**(-10\/3)\/(q**(-8\/5)*q**(-48)) assuming q is positive.\nAnswer: q**(94\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 19*k**4\/24 - k**2. Let q(n) = 657*n - 810. Let a(z) = -85*z + 105. Let h(v) = 54*a(v) + 7*q(v). Calculate h(p(w)).\nAnswer: 171*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -135\/11 + 911\/154. Find the common denominator of 61\/1684 and s.\nAnswer: 11788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 q when four letters picked without replacement from {q: 1, r: 13, f: 1}.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -106 - -1?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-362766)\/81)\/((-2)\/(-3)). Let j = t + 6710. What is the common denominator of j and 52\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + -3 - (31 + (29 - 65))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 7:27 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 895, 1833, 2799, 3787, 4791, 5805, 6823, 7839?\nAnswer: 8847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 2*s - 79364 = -282368, -4*s - 45112 = -2*i. What is the ten thousands digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*p = -q + 17, 0 = 5*q - 2*p - 37. Suppose -390 = -4*r - q*r. Calculate the highest common factor of r and 270.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 7*s - 47. What is the hundreds digit of l(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5949*m - 5969*m + 380 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1, 4\/9, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(36)*-5)*6.\nAnswer: -3*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/112)\/(5 + 74\/(-14)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v*v**(11\/2)*v*v*v**(-1\/6) assuming v is positive.\nAnswer: v**(28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 9*b. Suppose 2*d + 29 = -4*z - 17, -3*d = 15. What is t(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 3*p + 2. Let i be y(2). Let f be (-11)\/385*7 - 63\/(-15). Suppose 2*c - 17 = 3*m - f, 1 = -i*c - 3*m. Solve 3 = c*l + 9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 11 + 31*q - 8 - 32*q. Let v(u) be the second derivative of -u**3\/6 + u**2 + u. Let m be (4 - 1)*6\/(-9). Give m*j(n) + 3*v(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/9546 and -63\/148.\nAnswer: 19092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32) + 2 + sqrt(162) + -1 + sqrt(2).\nAnswer: 1 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 3\/5, -0.2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*s = 155*s - 266. What is the remainder when (2\/5)\/(2\/230) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-10 + 10 + 6*v**2) + 0*v**2 + 0*v**2 - v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.029 - 0.029. Sort -4\/7, -7\/5, d in decreasing order.\nAnswer: d, -4\/7, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n, 3*z + 3*n = 5*n + 198. Let q = 69 - z. What is the remainder when 11 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -783418*c**6 - 2*c**3 - 29*c**2 + 3*c + 80?\nAnswer: -94010160*c**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -531 (base 6) to base 11.\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*i**3\/3 - 638*i**2\/3 + 2707*i\/3 + 212\/3.\nAnswer: -(i - 4)*(i + 53)*(13*i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 30. Let i be f*-6*8\/12. Suppose 2*k - 205 - 217 = -3*a, 0 = -i*a - 4*k + 556. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Simplify (2 + -2 + (4 + 1*-3*sqrt(432))**2)*1.\nAnswer: -288*sqrt(3) + 3904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21428 by -199.\nAnswer: -21428\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 50 = -2*q. Let w(c) = -c**2 - 12*c - 4. Let r be w(q). Find the second derivative of -3*y + 18*y - 9*y - 6*y**3 + r*y**3 wrt y.\nAnswer: 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3190 divided by 73\nAnswer: 3190\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 96*g - 91*g - 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-7) + (72\/34 - 2) + 16159\/(-17017).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1634250*c**3 - 12422047*c wrt c.\nAnswer: 9805500*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (2 - (-2 + 4)). Let q be a - -1 - 0\/1. Let u(m) = -m**2 + 1. Let g(c) = -2*c**2 - c + 6. Let w(r) = -g(r) + 4*u(r). Calculate w(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193 = -3*y + 1433. Suppose g + 544 = 5*g - 4*h, -4*g + 2*h + y = 0. Let d = g + 554. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*j - 53 + 35 = 0, 12 = 2*j. Let y(o) be the second derivative of -1\/6*o**4 + k*o**3 - 1 + 0*o**2 - o. Let z(r) = -2*r**2 - 10*r. Give y(z(i)).\nAnswer: -8*i**4 - 80*i**3 - 200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -117 (b) -0.3 (c) -5 (d) 0.2 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2279952.387 rounded to the nearest 100?\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -62. Suppose 10*n - 162 = y*n. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 + 3*m**3 + 27*m - 27*m.\nAnswer: 3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2042 and 1144?\nAnswer: 1168024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/(22\/(54340\/171)*(-14)\/(-42)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*m - 21*m - 71*m**2)*(15 - 16 - 2*m**2 - 3*m**2)*(m - 3*m + 3*m).\nAnswer: 355*m**5 + 71*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8465 * 1390.\nAnswer: -11766350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 701, 1401, 2101, 2801?\n\"Answer: 700*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*m + s, -5*m - 3*s = 20 - 26 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f - 5. Let q(s) = -s - 1. Let l(z) = -4*q(z) + 2*y(z). Let g(h) = 4*h + 13. Determine -4*g(t) - 9*l(t).\nAnswer: 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*b + 50*b + 47*b = -4, 24 = 4*o + 3*b for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -41861, -41859, -41857, -41855?\n\"Answer: 2*h - 41863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*z + 89 = 0, 881*z + 25 = 4*y + 882*z. Let l(w) = 15 + 1 + 5 - 12*w. Let f(t) = -3*t + 5. Determine y*f(d) - 2*l(d).\nAnswer: -3*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 36. Let j be s(55). What is the highest common factor of 10 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19415 divided by 3883\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (2 - 1) + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 16 = -m. Solve 15 = -5*u - 5*d, -u + 5 = m*d + 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven quarters of a hour?\nAnswer: 9900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1209)\/104 + -1 + 13\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -82014.\nAnswer: -82019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542413?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 5 + 5*m + 3*m - 2*m. Let n be g(-6). Suppose 0 = 3*p - 2*c - 70, -n*c + 6 = 5*p - 119. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14764 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fk when two letters picked without replacement from {f: 8, k: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 2778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m + 525 = -43*m - 75*m - 4289 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -299967?\nAnswer: 299967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/14 and (-22)\/16 - 9\/(18\/(-8)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m**(-3)*(m*m**(-6)*m)\/m*m*(m**6*m)\/(m\/((m*m\/(m\/(m*m**(-2\/5)\/m*m))*m)\/m))*(m**(2\/7)*m)\/m**6*(m*m*m**(-6\/11))\/(m*m**(-3)) assuming m is positive.\nAnswer: m**(516\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-13) + -1 + (-2898)\/(-598)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18033992089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-2))\/(1 + 0). Suppose 2*q - 10 = 3*h - h, l*q - h = 9. Sort 5, -4, q in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6*i. Let x be i\/(1*-2*1). Let p(k) = k**2 + 4. Give p(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4800) + (sqrt(4800) - (-2*sqrt(4800) - sqrt(4800))) + sqrt(4800))\/(2*sqrt(486) - sqrt(6)))**2.\nAnswer: 28800\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 + 4*g**4\/5 - 249*g**3\/5 + 688*g**2\/5 + 28*g\/5 - 912\/5 = 0.\nAnswer: -19, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/128 and 59\/4.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1715*s + 1715*s - 3*s**2 + 10*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 29 = -5*k, 3*w - 5*k - 22 = 24. Is w greater than or equal to 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1960024575?\nAnswer: 3, 5, 991, 26371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c + 1 - 8199*c**4 + 18*c + 8201*c**4 + 3*c**3 + 11*c**2 in the form i*c**2 + v + p*c**4 + h*c**3 + u*c and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4139 + 6568 = 2260*t + 79 + 1588 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**6\/120 - r**4\/24 + r**2 + 4. Let o(y) be the second derivative of g(y). What is the second derivative of o(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - k + 29 = 366, -563 = -5*f + 3*k. Is f a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 7. Suppose 0 = 2*k + 10, j*k - 258 = -2*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 - 24438.6568002?\nAnswer: -24438.4568002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1890*k**2 + 11*k - 4. Is x(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1376 - 5*y**2 + 3*y**2 + 0*y**2 - 7171*y + 8545*y + 0*y**2.\nAnswer: -2*(y - 688)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3488 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -633 - -636. Solve 2*x - 2*o + 3 = r*x, -2*o = -4*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3002 = 29*u + 2712 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 - 83. Suppose -5*a + 29 = 3*x, -x - x + f*a - 10 = 0. Solve -x*w = -6*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -23810000 to the nearest 1000000.\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 77165, 77164, 77163, 77162?\n\"Answer: -f + 77166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*a - 4 = 0. Let j = 22 + -12. Let m = j + -10.3. What is the second smallest value in m, a, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-3) - 2\/(-6). Let m = -23 - -35. What is the remainder when -1*(-35)\/3*d is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 577 * -0.05.\nAnswer: -28.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -7\/7561 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 682, 1346, 2010, 2674?\n\"Answer: 664*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 717046 is divided by 1732?\nAnswer: 1730","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -20. Suppose 0 = 5*k + 2*n - 13, 2*k - 2*n = l - 6. Calculate the remainder when 3 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2 - 9875*d - 59286.\nAnswer: (d - 9881)*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.33 and 4.\nAnswer: 5.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.02, -3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -0.46, -5\/3, 28?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = n - 108, -2*i - 314 = -3*n + 3*i. Let x = -71 + n. Suppose -3*m + x = -6. What is the remainder when m is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*3\/(-12)*(-672)\/168*9\/(-6).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) - sqrt(162)*2*-4.\nAnswer: 81*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 17*s**2 + 3*s + 7. Let g(y) = -y**3 - 8*y**2 + 2*y + 3. Let f(i) = -9*g(i) + 4*q(i). What is f(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 38280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10 - (-288)\/27) + 1136\/6. Suppose 198 = 193*i - h*i. Calculate the greatest common divisor of i and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-760 + 760 + 20*k**5).\nAnswer: 40*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -104 + 413\/4. Let f(v) = v**2 - 11*v + 10. Let t be f(10). Put 2, k, t in decreasing order.\nAnswer: 2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.013073 to 4 decimal places.\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -85, -1, 96 in descending order.\nAnswer: 96, -1, -4, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3 + 27 = 0. Solve g*h + 24 = 4, -2*h + 5 = 3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/24*-28*123. Let j = s - 340. Let l = j + -100. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43722?\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.764582 meters to centimeters.\nAnswer: 476.4582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10360 + -10425 + (2 + 0 - 13).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.82 and -48?\nAnswer: 39.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 6:23 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41296 and 4442742?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 56050, 112053, 168056, 224059?\n\"Answer: 56003*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(605))**2.\nAnswer: -3630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(78\/456) - -4*48\/160*-5\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -314, -718, -1294, -2048, -2986?\n\"Answer: -v**3 - 77*v**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180*c**3*l**3 - 22*c**3 - 7*c*l**2 wrt l?\nAnswer: 1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 137898 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 46*t + 5 - 34*t - 38. Let x be y(3). Solve w + 2*w = -x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4218887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23979518.\nAnswer: 2, 3217, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 221 and 9.\nAnswer: 1989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(42)\/sqrt(7)))\/sqrt(11).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 5*u + 10. Let q be u\/3*6\/4. Let i(l) = l - 1 + q. Let s(x) = 2*x**2. Determine s(i(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 - 17*f**2 - 38*f + 209. Calculate y(5).\nAnswer: -1281","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 308580, 308568, 308554, 308538, 308520, 308500, 308478?\nAnswer: 308454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6759799019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*q + 41*q - 19 = -2*h, 4*h - 4*q = -12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r**3 + 5*r**2 - 4. Let j(t) = t**4 - t**3 + t**2. Let p(n) = g(n) - 5*j(n). What is the first derivative of p(c) wrt c?\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = j + 2*j. Suppose 3*d - 4*d + 5*c = -45, -3*c = -j*d + 137. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/((-180)\/150*80\/(-36)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 PM and 1:50 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -172, -2\/11, 1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 18, 0.075, -3\/2, -1 in increasing order.\nAnswer: -3\/2, -1, -0.2, 0.075, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -96*p + 42. Calculate the remainder when v(-1) is divided by 48.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 4*t - 17. Let l be s(-8). Suppose 8*a - l = -7. Suppose -j = -3*b - 83, 4*b = -j + 75 + a. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/3 - 1436*h**4\/3 - 1472*h**3 + 21684*h**2 - 38934*h = 0.\nAnswer: -9, 0, 3, 721","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/1545 (b) -500 (c) 0.3 (d) -4 (e) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 615.0679ml in litres?\nAnswer: 0.6150679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -aa8872d - 1?\nAnswer: -aa8872e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -30198*i**2\/5 + 634138*i\/15 + 28\/3 = 0. Calculate i.\nAnswer: -10\/45297, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 74?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 239*c - 236*c. What is the highest common divisor of 28 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 2*z**3\/9 + 16*z**2\/9 + 8*z\/3 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 + -9.96. What is the biggest value in 5, z, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -0.53, 5\/47353?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 5*r - 16, z - 10 = 18883*r - 18880*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21056*l**3 + 27994*l?\nAnswer: 126336*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -272 (b) 19 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 137771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4912, 4900, 4878, 4840, 4780, 4692?\n\"Answer: -r**3 + r**2 - 8*r + 4920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4214 - 75*l + 4214 + (1 - 1 - l)*(3 - 1 - 1))*(52 + 19*l - 52) as a*l**2 + p*l + b and give a.\nAnswer: -1444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 47656, 47649, 47644, 47641, 47640, 47641, 47644?\n\"Answer: w**2 - 10*w + 47665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 261, 3, -3\/5, 0.1, -3, -0.1029?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 2 m, and 1 u when four letters picked without replacement from {m: 5, g: 3, b: 1, c: 7, u: 3}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1143\/15 - (-2)\/(-10). Let t = -48 + x. What is the remainder when 18 is divided by (t\/12)\/((-2)\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67337?\nAnswer: 17, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/120 - 3*d**5\/10 + 35*d**4\/12 - d**3\/2 + 2*d**2 - 399*d. What is q(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 5. Let c = -0.95 + h. Let o = c - -3.15. What is o rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 29. Solve -w*g + 6 + 10 = s, -3*s = 2*g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23242\/3 + 302152\/39. Find m, given that 28\/13*m**2 + 0 - 98\/13*m - p*m**3 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 28. Let u be 2\/36 - n\/(-9). Which is the third biggest value? (a) 18 (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 15*f + 18. Suppose 2*j + 28 = -0*j. Calculate the remainder when 23 is divided by s(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, -30, -60, -92, -126, -162?\n\"Answer: -m**2 - 25*m + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43516, 43519, 43514, 43495, 43456, 43391, 43294, 43159?\nAnswer: 42980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*i - 58*i = 0. Suppose i = -7*n - 65 + 135. Calculate the remainder when 29 is divided by n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t*(t\/(t\/(t*t**(-1\/10)*t)))\/t*t))\/t)\/(t**(-15)\/t) assuming t is positive.\nAnswer: t**(121\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 5926*b\/3 - 5927\/3.\nAnswer: (b - 5927)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -912\/5*m**2 - 1236\/5*m - 522\/5 - 6\/5*m**4 - 204\/5*m**3 = 0. What is m?\nAnswer: -29, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-3)\/1 + -2. Suppose m*l = 3 + 1. Let u be (0 - -4)*(2 - 0). Calculate the greatest common divisor of u and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3789, 3788, 3787, 3786, 3785?\nAnswer: 3784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-8))\/((-3)\/(-12)). Suppose -2561 - 54 = -j + 3*m, -n*m + 10430 = 4*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111191 = -20*y + 265589. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -206 - 198. Let d = -121 - s. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (14\/84)\/((-1)\/(-10)). Solve -z*s**3 - 16\/3*s**2 - 4\/3*s + 25\/3*s**4 + 0 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**2 - 2*a**2 + 22*a + 5*a**2 + 0*a**2 to r*a**2 + g*a + l and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12827877 rounded to 2 dps?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 375?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d = 22. Suppose b - 10 = 3*u, -b - 4*u = -0*u + d. Let k = 3 - b. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c**2. Let b(w) = 6*w**3 - 2*w**2 - 2*w - 2. Let t(q) = 1. Let g(u) = -b(u) - 2*t(u). Determine g(d) + 4*h(d).\nAnswer: -2*d**3 - 2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12764*w = -12956*w + 8832. Suppose -3*z + 8*z = 4805. Suppose 5*y - z = -46. Calculate the remainder when y is divided by w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1525 * 18814.\nAnswer: -28691350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -475*k**2 - 2*k + 567 wrt k.\nAnswer: -950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 3*g)*(77 - 55 + 793).\nAnswer: -2445*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29929 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(228)\/(sqrt(6) - sqrt(96)))\/(sqrt(16)\/(sqrt(24)\/sqrt(3))) - ((sqrt(171) - 4*sqrt(171)*-2 - sqrt(171))\/(6*sqrt(9)*1))**2*-6.\nAnswer: -2*sqrt(19)\/3 + 608\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 975*k**3 + 22*k**2 + 10*k - 17. Let n be z(-21). Round n to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -5 + (-104)\/(-16) - 301\/(-2). Suppose -10*t + c = 52. Let w(i) = -13 - i**3 + 0*i + 14*i - 9*i + 10*i**2 - 3*i. Determine w(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-20 - -35 - 2)) + -100?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35709902, -71419797, -107129692, -142839587, -178549482, -214259377?\nAnswer: -249969272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**2 + 161*c + 185. What is o(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2251017478 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11435515 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 611830*b**4 - 92*b**3 + 12787494*b**2 - 7 wrt b.\nAnswer: 14683920*b - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25124*l**3 + l**2 - 14443 wrt l.\nAnswer: -150744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -1.55\nAnswer: -0.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 5*a**4\/12 + 3848*a. Let n(m) = 1577*m. Determine f(n(z)).\nAnswer: 12434645*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 69514 at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4559 - -4559.2. What is the third smallest value in -3\/4, c, -11\/9?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 12091804.\nAnswer: 133009844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6373*z - 144. Is a(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 32306, -4, -3 in ascending order.\nAnswer: -4, -3, 115, 32306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133347?\nAnswer: 3, 44449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u. Let z(s) = 3*s**2 + 3*s - 1. Let f be z(-2). Let p be (-31 - (-2)\/2)*(-2)\/f. Let c(t) = -8*t + p*t - t + 3*t. What is x(c(y))?\nAnswer: 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 844359539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 638108753 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 21984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w**2 - w - 2. Let k be n(4). Suppose 0*l - l + 2*g = -65, g = -3*l + k. Suppose -q - 23 + l = 0. Does 9 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 47. Suppose z - 6 = -2*o, o = -2*z + l*o + 4. Is 5 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 132*m**2 - 23*m + 8. Let l be a(2). What is the hundreds digit of ((-252)\/l*-60)\/(3\/56)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 13 (b) -2 (c) -3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -22c43 (base 15) to base 4\nAnswer: -123002223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a + 1. Calculate w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.865393848 + -97.\nAnswer: -97.865393848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-1 - 2) + 6. Let b(k) = 4*k**2 - 3*k**p + 5*k**2 - 5*k**2. Let u(l) = -2*l + 3*l - 2*l. Give u(b(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 2444 divide 94573207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 961 + 79. Let f(b) = 7*b**3 + 2*b**2 - 2*b - 1. Let t be f(-4). Let q = t + r. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 72\/33 + 4\/(-22). Suppose b + y = -0*b. What are the prime factors of (10\/(-4))\/(b\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence egp when three letters picked without replacement from {g: 7, e: 1, p: 2, z: 2}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 7*z**3 + 2*z**2 - z. Let g be p(1). Let u be ((-5)\/1)\/(g\/(-80)). Let o be (40\/u)\/(2\/5). Solve -5*y = 5, l = 4*l - o*y + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + w. Let f be g(-1). Let p be f\/1 + (-154)\/(-7). What is the common denominator of 25\/(-10)*42\/p and -45\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 + 585*k + 9050. Let h be b(-16). Solve -316 + h = 19*r for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/9 (b) -16\/3 (c) 2\/9 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 0.5, 0.7, -2\/13 in decreasing order.\nAnswer: 111, 0.7, 0.5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2294*f**3 + 10*f**2 + 9*f - 3. Suppose 70 = -4*m + 62. Is i(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - v**2 + 2*v + 3. Let s be w(-2). Let y = -9 - s. Solve 3*x - y*x = 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h. Let d(j) = j. Let f(s) = d(s) + 3*q(s). Let z(v) be the first derivative of -5*v**2\/2 + 5. Give f(z(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 - 276.\nAnswer: -275.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63.8 + 31.905. Let n = -29.9 - g. Let d = 0.005 + n. Which is the biggest value? (a) 1 (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3266, 3269, 3278, 3299, 3338, 3401, 3494?\n\"Answer: c**3 - 3*c**2 + 5*c + 3263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)\/j)\/j*j*j**(-2)*j*(j**1)**28 assuming j is positive.\nAnswer: j**(184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 + -3 + 2) - (0 - -5)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 4. Let h = j + 10. Let d(y) = 3*y**2 - 3*y + 1. Let z(v) = v**2. Let o(g) = -d(g) + 2*z(g). Calculate o(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1208 + -1202.01. Let y = -0.01 - x. Is y >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 8*q**4\/3 + q**3\/3 - 3705*q**2\/2 - 169*q. Find the first derivative of n(c) wrt c.\nAnswer: 64*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 11808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.49 - 1.9. Let v = -0.11 - p. What is the closest to -2\/7 in v, -0.19, 1\/3?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20\/3*l - 50 - 2\/9*l**2 = 0. What is l?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 5*g = 100, -g + 3*g - 224 = 4*x. Find the common denominator of -4 + (-255)\/x + 1\/1 and -61\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108153 (base 14) to base 6.\nAnswer: 20000445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99946*f - 96050*f + 42104*f.\nAnswer: -153892*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 573 + -569. Let x(c) be the second derivative of 0*c**2 - 1\/2*c**3 - 1\/6*c**q - 7*c + 0. What is the second derivative of x(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45717.\nAnswer: 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/495828 and 61\/18364?\nAnswer: 495828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 28623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.924737 years?\nAnswer: 0.000924737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 8, 2*g + 3*u = 5*u + 131992. Round g to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -122 (c) -4 (d) 3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4488 - -12628. What is a rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -1. Let t(n) = n**2 - 1. Suppose 4*d + 2 = o - 5, 4*d = 5*o - 3. What is o*z(c) - 2*t(c)?\nAnswer: -2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/437550 and -169\/170250?\nAnswer: 496619250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11847 + 12000. Calculate the greatest common factor of i and 5763.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9744212 a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6\/7, 1\/3, -0.2 in decreasing order.\nAnswer: 5, 6\/7, 1\/3, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332423887.\nAnswer: 2083, 159589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1\/9 (b) -0.8 (c) 0.2 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*j - 25*j + 3 + 52*j - 11*j**2 as x + k*j**2 + f*j and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -661*v**5 + 8*v**4 + 344*v**2 + 8. Let y(i) = i**5 - 2*i**4 - 2. Let t(r) = -u(r) - 4*y(r). What is the third derivative of t(n) wrt n?\nAnswer: 39420*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53529 divided by -438.\nAnswer: 17843\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 18*n**2 + 111*n + 270. Let r be a(-9). Solve 23*p + 21*p - 176 = r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 815825?\nAnswer: 5, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-2)\/(-9)*33\/22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 4076898 and -1.81.\nAnswer: 4076896.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*y - 39 = -5*b, 5*y - 21 = -3*b. Suppose -b*s = -s + 132. Sort -3, 3, s.\nAnswer: s, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108456 + 76186780?\nAnswer: 76295236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 671 + -2?\nAnswer: 66b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -29 (c) 0 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3224 + 3224 + 438*j)*(0*j**2 + 0*j**2 - 3*j**2).\nAnswer: -1314*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11042414 + -24411?\nAnswer: -11122330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8056741+-21\nAnswer: -8056762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 19610080 to the nearest one hundred thousand.\nAnswer: 19600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -207\/1787 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -83910.1 + 306921.1?\nAnswer: 223011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 263 + -151. Suppose 0 = -4*y + 496 - p. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6044*z - 5918. Calculate the remainder when a(3) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2565, 5142, 7717, 10290, 12861?\nAnswer: 15430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q + 19. Let d be h(0). Let j = d - 7. What is the least common multiple of j and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17967, 35940, 53923, 71922, 89943?\n\"Answer: f**3 - f**2 + 17969*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 26. Calculate the highest common divisor of d and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**6\/10 - s**3\/6 + 2*s - 2. Let f(u) be the first derivative of t(u). Find the second derivative of f(b) wrt b.\nAnswer: 36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*q**3 - 62*q**2 wrt q.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 6, 4\/3, -7609, 1\/4, 5?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*z - 39 = 0, 0 = 29*a - 31*a - 3*z - 47. Let b be 2\/4*(1 - -7). Let q be (a\/b)\/((-2)\/76). Calculate the greatest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 9. Let j = -38 + 24. Let f = x - j. What are the prime factors of f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**3\/15 - 418*r**2\/15 = 0?\nAnswer: -209, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -2\/15*r**5 + 0*r**3 + 0*r + 13*r**2 + 0 + 0*r**4. Let f(l) be the third derivative of -l**5\/30 + 5*l**2. Give f(q(g)).\nAnswer: -128*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -0.09 (b) 1\/11 (c) 1\/3 (d) 23\/4 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/40 and (450\/(-84))\/(-25)*133\/(-2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 5, 0.3, 4, -0.4, -4.4, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*l + 23, 3*r - 2*l + 77 = 93 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 50577476 + 12?\nAnswer: 50577488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -451?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(209) + 2*sqrt(209)))\/sqrt(11).\nAnswer: 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*k + 3 - 12 = 0, -5*y = -5*k + 5. Let b be y - 2 - (-2 + 81). Round b to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, i: 4}. Give prob of picking 3 i and 1 p.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -179.7325 rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - (-10 + 459))*(-1296)\/6048?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:11 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 5*s = -3*o + 524, -2*s = -2*o + 1068. Let v = s - -967. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000000 (base 2) to base 9.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (654 - 325 - 275)*(-v - 3*v + 35*v).\nAnswer: 1674*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, v: 1, u: 3, h: 1, a: 1, p: 4}. What is prob of picking 1 k and 1 a?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 155, 165, 203, 275, 387, 545, 755, 1023?\nAnswer: 1355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in months?\nAnswer: 7440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 11\/52 (b) -10137 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, n: 3, z: 1, a: 4, h: 4, c: 4}. What is prob of picking 1 a and 1 n?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*q - 26 = 1, -5*p + 15 = q. What is the remainder when 10 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (8\/(-20))\/((18\/40)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122 + -8 - (-75 - (25 + -77)).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -25) + -27 - -1. Let d be (2 - 3)*(-3 - -6). Which is smaller: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, s: 11, f: 7}. What is prob of sequence fbf?\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 2*n**4\/3 - 145*n**3\/6 + 11*n**2 - 131*n. Let g be i(18). Sort -20, -4, g in ascending order.\nAnswer: -20, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**7\/1680 - s**6\/720 - s**5\/240 + s**4\/48 - s**3 + 3*s**2. Let w(m) be the first derivative of b(m). Factor w(f).\nAnswer: (f - 1)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 16 = 0. Let f = 3 + n. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26221125 divided by 349615\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (51*30\/(-850))\/(9\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.169 to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 300 and 39511740.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 604\/(-6) + 1 + 1\/(-3). Let g = -98 - d. Let z = 1 - 0. Solve z = -w + g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2624 - 2422.5376. What is f rounded to the nearest 100?\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 2*z + 102, -z + 4 = s - 21. Let x be (0 - -1) + (-14)\/s. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-0.061.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -12 - (-2 + 0 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -18*i**3 + 13*i**2 + 3*i - 14. Let g be v(-7). Let t be (-54)\/(-81) + g\/6. What is t rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*d - 3280. Suppose 2*v - d = -5*l + 7*v, -4*l + 373 = 5*v. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 2 + 88*j**3 + 641*j**2 - 645*j**2 to c*j**3 + f*j**2 + n + r*j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*d + 91*d = 264*d + 1600 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23030033 - -210311?\nAnswer: 23301010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (680*y - 2694 + 5378 - 2687)*(-y + 0*y + 0*y) to g + o*y + q*y**2 and give q.\nAnswer: -680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + p = -900, 0 = -8*k + 3*k - 3*p + 900. Suppose -r - 2*r + 60 = 0. What is the greatest common factor of k and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129810 is divided by 792?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3981 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (6 - (-15 - -5))) + 7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 41323432 (base 5) to base 13\nAnswer: bb547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-3 + (-50)\/(-15)). Differentiate 33*h**3 - 54 - 16*h**3 - 11*h**4 + j*h**4 wrt h.\nAnswer: -8*h**3 + 51*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (12 + -11)\/(-3)*-2193. What is the greatest common factor of 387 and i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 10*x + 5. Let f(g) = -2*g + 1. Let u(n) = -5*f(n) + t(n). Let m(o) = 6496*o. Calculate m(u(v)).\nAnswer: -6496*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l - 4. Let i = 17 + -13. Is 12 a factor of g(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**2 + 40*l - 400 = 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6200 and 155?\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21029129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5 + 24*g**4 - 152*g**3 + 292*g**2 - 234*g + 68 = 0?\nAnswer: -17, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -7. Let t = 8 + k. Sort 0, t, 0.3.\nAnswer: 0, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-10))\/(14634\/390240)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*r**4 - 2028951*a**2*r + 34952626*a**2 with respect to r.\nAnswer: -16*a**2*r**3 - 2028951*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 19*a - 9. Suppose 635*l - 300*l - 154 = 313*l. Let f(s) = 19*s - 8. What is l*f(c) - 6*d(c)?\nAnswer: 19*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54 + -1120?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 5*c + 10 - 0, -2*a + 2*c - 8 = 0. Let z = -3 - a. Suppose -2*d + 7*d - 15 = z. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 5451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -983 and -1770 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -260 (base 8) to base 6.\nAnswer: -452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**3 - 6*w**2 + 5*w + 6. Let r = 2005 - 519. Let s(u) = u**3 + 3*u - r*u**2 + 3 + 1483*u**2 + 0*u**3. Determine -3*f(q) + 5*s(q).\nAnswer: -q**3 + 3*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -2)*((-651)\/6 + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -106. Calculate the greatest common factor of 225 and n.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = t - 7, 0 = -2*t - 4*w - 13 + 27. What is the remainder when 2295 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 - 4*t**2 - 8*t + 8. Let j(v) = -4*v**3 + 4*v**2 + 9*v - 9. Let q(a) = 2*j(a) + 3*r(a). Let l be q(5). Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(21)\/(sqrt(27) + sqrt(3) - sqrt(3)) + sqrt(21)\/sqrt(3)*-1 - (-2 + (1*sqrt(448))**2)).\nAnswer: -2230 - 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41375*o**5*s**2 - 11634*o**2*s**2 - 4*o wrt o.\nAnswer: 2482500*o**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4634011*p + 552001.\nAnswer: 4634011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 112*h + 56. Let m(b) = 111*b + 58. Let i(x) = -4*f(x) + 3*m(x). What is the derivative of i(l) wrt l?\nAnswer: -115","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1705 divided by -13\nAnswer: -1705\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5*w + 26, -d + 5*w - 14 = d. Suppose -49 = -d*b + 11. Solve -5*s + b = 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/4, -1\/2, 0.2 in ascending order.\nAnswer: -4, -1\/2, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {y: 4, o: 7, l: 2, v: 5}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6290*y + 6276*y + 1132 + 7366 = 0. What is the remainder when y is divided by 83?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**2*f**3*o*s + 33*b**2*f**2*o**3*s - 2*b**2*f*o - 2*b*f**2*o**2*s - 3*b*f*s + 33*f**3*o**3*s - f**2 wrt f?\nAnswer: -24*b**2*o*s + 198*o**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 998622430 a multiple of 4377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 17*h**2 + 2*h + 38. Calculate i(-17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -69571198*t**2 + 532657*t - 18 wrt t?\nAnswer: -139142396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -46464555 + 114?\nAnswer: -46464441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 7)*(5*s + 27*s + 18*s).\nAnswer: 250*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2109829 - -0.211. Round p to six decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-31 + 11 - -14 - -59) + (-12 - 3) + 6\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34190281?\nAnswer: 17, 2011193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -36 - 21 - 27 - 23126*g + 84 - 107342*g + (-1 + g + 1)*(-3 + 2 + 2).\nAnswer: -130467*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v + 1. Let x be w(-1). Suppose -i - k + 27 = x, i - 3 = 2*i - 5*k. What is the remainder when i is divided by 12\/8*(-4)\/(-9)*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/30 + -15 + (-43)\/(-3)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 13*w**2 - 4*w - 31. Let a be n(-13). Find the third derivative of 13*h**2 - 37*h**5 + a*h**2 + h**2 + h**2 wrt h.\nAnswer: -2220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1333701*f**4 + 2497888*f wrt f?\nAnswer: -16004412*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = u + 102. Let m = u + 419. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7*u - 5642 = 29*u. Which is bigger: u or -218?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q - 23*q + 6351 + 6979 = 0. Calculate the highest common factor of q and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 244, 0, 6, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Suppose -1 = 2*h + 1. Calculate the remainder when 3 is divided by l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5268*g + 95382. Give b(-18).\nAnswer: 558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9475)\/22740)\/((-1)\/12). Let s = -4 + 0. Sort s, 3, 0.1, g in decreasing order.\nAnswer: g, 3, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 103*c. Suppose 25*n - 24*n = 26. Calculate the remainder when p(1) is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1061 - -1125. What is the remainder when x is divided by (-5)\/(-1)*(-924)\/(-165)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52.2039kg to nanograms.\nAnswer: 52203900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -23, -19, -15, -11, -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75472184287 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69060 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4904 is divided by 64?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*t*t*t*t*t**(2\/5)\/t)\/((t**1*t)\/t)**(-38) assuming t is positive.\nAnswer: t**(212\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-84 - -6) - -33.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*v + 516*v - 101*v + 10968 = -657*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1826.8482 - -1827. Round w to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23654 + 20?\nAnswer: -23634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27287 is divided by 781?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 31 + 84 = -a, 3*a + 9 = 0. What is the highest common factor of 80 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044 - 28?\nAnswer: -28.044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 11.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 14*s + 19*s - 12.\nAnswer: 25*s - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13*b**2 - 16*b + 8. Let a(c) = 4*c**2 + 5*c - 3. Give -7*a(w) - 2*m(w).\nAnswer: -2*w**2 - 3*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 15 + 15)*(20674*s**2 - 20674*s**2 + 260*s**3) + (0*s**2 - s**3 + 0*s**2)*(0*s - 2*s + 0*s).\nAnswer: 262*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -365*u + 362*u - 18. Let w(d) = 7*d - 8. Let i(b) = 8*b - 8. Determine u*w(n) + 5*i(n).\nAnswer: -2*n + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.269231385 to two decimal places.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and -53132210.4.\nAnswer: -53132207.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 32*j - 483. Calculate u(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 1 = -11. Suppose w = -0*p - p. Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -148 (c) 27 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -58, -41, 2, 83?\nAnswer: 214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-126 + 131)) + 2 + -2 + -69?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 19*y + 34. Let l be g(-17). Suppose -3*c + 8*c - 15 = l, 4*c = -5*q - 5488. What is q rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014256014?\nAnswer: 2, 3, 73, 601, 3853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/120 + 4*b**5\/15 - 5*b**4\/12 + 25*b**3\/6 - 130*b**2. What are the prime factors of y(-10)?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/3730 and -11\/52220.\nAnswer: 52220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h. Let t(n) = n - 4. Let m(j) = 21*j - 8. Let v(z) = m(z) - 2*t(z). What is v(g(p))?\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -153 != -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + -71. Let v = p - -76.6. Suppose -2*t + 8 - 2 = 0. What is the nearest to 1 in -0.5, t, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*i + 1368 = -2*k, -k + 2*i + 272 = 0. Suppose -4*j + 1005 + 2175 = 0. Let o = j - k. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 342000 (base 5) to base 9.\nAnswer: 17562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gmgl when four letters picked without replacement from {m: 3, g: 3, l: 13}.\nAnswer: 13\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, b: 4, v: 1, i: 1, x: 3, y: 5}. What is prob of picking 1 y, 2 b, and 1 x?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(475) - (sqrt(475) + -2 + 4)) + sqrt(475) + -3)**2 - ((sqrt(475)*-2 + sqrt(475))**2 + 4 + (sqrt(475) + 1)*1)).\nAnswer: -55*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3023984, 6047748, 9071512, 12095276, 15119040?\n\"Answer: 3023764*a + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)*(0 + 0). Suppose 2*p + 20 = 2*r + p, s = -p. Suppose -5*z + 4*z - 1 = 5*w, -2*z + 2*w = -r. Solve 5*l - l + 20 = 0, 5*l = -z*g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) + 155\/(-15). Let u = -3 - x. Let a = u - 5. Solve -5*l - 5 = 0, -3*l - a = 4*h + 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2822.04 to the nearest one hundred.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 822 divided by 3.\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*j + 5*j - 18, -12 = 4*b - j. Let m(a) = 2*a**3 + 2*a**2 - 2*a + 1. Let n be m(1). Sort b, 1, n.\nAnswer: b, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -0.018736222.\nAnswer: -3.018736222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-3))\/((-70)\/(-297325)). Suppose 0 = -5*t + 5*o + x, 0 = -11*o + 7*o - 8. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13544595 divided by 4365\nAnswer: 3103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 5 - (142 + -147).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 + -0.244. Let w = p + 0. Round w to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162200.\nAnswer: 2, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q - 45*q - 11*q - 21*q to n + z*q and give z.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, g: 1, r: 1, o: 1, e: 1}. Give prob of sequence edr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2, -5, 2\/3, 1769, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -26. Let p = -9 - j. Let z = p + -6. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 + (-9)\/6. Suppose l = -0*r - 4*r + 24. Calculate the smallest common multiple of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 n when three letters picked without replacement from rnsjrsorsnr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:24 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g = -49 + 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/8255824 greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*p**3*r**2 - p**3*r - 8*p**2*r**5 + 65*r wrt r.\nAnswer: -58*p**3 - 160*p**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 12:18 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 11120101111?\nAnswer: 11120101102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-2)\/180*-226 - 2 and 23 + (-39830)\/2835 + (-1 - -10)*-1.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**5*h*h**(-1\/2)*h**(-4)\/h**(1\/10) assuming h is positive.\nAnswer: h**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**3 - 3*g**3 + 7*g**2 - 7*g**2 - 28*g**3.\nAnswer: -18*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n**9*(n*n\/(n**0*n*n)*n)**25)\/((n**(1\/3)*n*(n\/n**(-9\/5))\/n)\/(n*n*n\/(n\/(n*n\/(n*n**(-1)))*n))**(-40)) assuming n is positive.\nAnswer: n**(-1073\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46e18 (base 15) in base 13?\nAnswer: -7baa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2268741 + -4327409. Let y = u + -7421332. Round y to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/(-99)*3). Let n = p + -6. Let j be n\/(-2 + (-33)\/(-12)). What is the highest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**5\/7 - 1160*j**4\/7 + 177168*j**3\/7 - 74932*j**2 + 522194*j\/7 - 173676\/7 = 0.\nAnswer: -706, 1, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2 - 1 + 2*q - 4*q. Let w be r(-4). Suppose -w*d + 28 - 3 = 0. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.2. Let y = 3 + -2.5. Put -3, y, v in decreasing order.\nAnswer: y, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19270 rounded to the nearest one hundred?\nAnswer: -19300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -63 + 54. Suppose -24 = m + l*m. Is m less than or equal to -31\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 110221011?\nAnswer: -110221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 117923 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22221100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 42*i**2 + 49*i + 325. Let u be o(-41). What is the nearest to 2 in -2\/5, -0.3, u, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 9*h + i, -4*h - 18 = h + 108*i - 110*i for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11509 - -34526\/3. Which is the closest to v? (a) 0.2 (b) 0.35 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -22. Let t(f) = f**3 - 11*f**2 + 2*f - 12. What is the remainder when 18 is divided by t(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123232 (base 5) in base 11?\nAnswer: 368a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -547258\/7 = -78181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a = -15*a. What is the biggest value in 2\/3, -11, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {d: 5, i: 7, n: 1, o: 6}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8159, -8164, -8169, -8174, -8179, -8184?\n\"Answer: -5*w - 8154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136, -274, -412, -550?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-46)\/8 + 5)*(-60)\/9. Let t(g) = 90*g**2 - 13. Is t(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-21))\/(69\/1963717) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 246168 and 1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 60369145*k + 2 - 60369139*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(30\/(-355))*22\/44*-6*1\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293332193.\nAnswer: 7, 11, 223, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -10*i + 5. Calculate r(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - z**2 + 3. Let i(c) = c. Let f(b) = 3*i(b) + q(b). Let m be f(-2). Let a be (m + (-39)\/45)*-3. Sort 0.1, a, -3 in descending order.\nAnswer: 0.1, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 10:09 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*i - 119*i + 13*i.\nAnswer: -359*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/22? (a) -2 (b) 4 (c) -5.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-18))\/(2\/96). Let l = x + 50. Let z = 52 - l. Does 19 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4, -1.3, -12?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 20*g**4 - 155*g**2 - 75*g**3 + 24*g - 294*g - 104 - 31. Let j(a) = a**4 - a**3 + a**2. Let d(s) = h(s) - 25*j(s). Factor d(t).\nAnswer: -5*(t + 1)*(t + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 55\/19 - (-6)\/57. Let x(y) be the third derivative of 0*y + 1\/60*y**5 + 0 + 1\/6*y**p - 5*y**2 + 1\/6*y**4. Calculate x(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 17*q - 198 = 4*q for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30783012 by -6.\nAnswer: 5130502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 18. Let a be b(16). Suppose 2*j = -2*z - 0*j + 24, -32 = -3*z - a*j. Let q(d) = 4*d**2 - 16*d + 14. What is the units digit of q(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3))**7*k**(1\/12)\/k**(1\/3) assuming k is positive.\nAnswer: k**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - d = -98, -4*w - 3*d = d - 192. What is the greatest common factor of 550 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268 by -4.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8344 = 597*v - 7775 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 4:39 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -546\/5 - -508\/5. Let v be (-1)\/(((-2)\/54)\/1). What is the common denominator of 12\/(-42)*(v - 1) and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Which is the closest to 1? (a) 2\/3 (b) -0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -11 - 15) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8478\/36*884\/39 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, 2\/1434939, 0, -4, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of 0*g**2 + 0 - 1\/10*g**5 - 10\/3*g**3 + 7*g + 7\/6*g**4. Factor n(u).\nAnswer: -2*u*(u - 5)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o + 192. What is the hundreds digit of p(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75897574 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: Expand (110*z - 1 - 208*z + 114*z)*(-4*z**3 + 5*z**3 - 2*z**3).\nAnswer: -16*z**4 + z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/2816 and -73\/23760.\nAnswer: 380160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cc - -84674?\nAnswer: 845a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1344 - 492*z - 1096*z + 1333)*(-4*z**3 - z**3 + 3*z**3) to a*z + p*z**2 + y*z**4 + u*z**3 + k and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -3421*a. Let s(g) = 1451561*g - 1451561*g - 2*g**2. What is j(s(p))?\nAnswer: 6842*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -309*d**2 + 4. Let w(l) = -2*l**2 - 1. Let f(u) = -m(u) - 4*w(u). Let o(b) = -b**2. What is o(f(r))?\nAnswer: -100489*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 1. Let w(o) = 2*o**3 + 3*o - 2. Let v(j) = -35*j**3 - 5*j - 26*j**3 + 4 + 58*j**3. Determine s*v(m) + 5*w(m).\nAnswer: m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-14)\/(-42)*15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -194*x**2. Let q(l) = 17*l. Give k(q(j)).\nAnswer: -56066*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1478\/2217 + (-340)\/(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/4)\/(2\/8). Suppose 4*y - 17 = m*c, -2*y + y = -5*c - 17. Let o(x) = -1 + 2*x + 0*x**2 + 9*x**2 - 4*x**y. What is o(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -247963, -991830, -2231615, -3967330, -6198987, -8926598?\nAnswer: -12150175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*s - 172 = 0. Let k = -41 + s. What is the least common multiple of 18 and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28172 is divided by 825?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) + (-13)\/(-6). Let d be -4 - (3 + -14) - w. Let m(h) = -82*h**2 + 86*h**2 - d*h + 3*h**3 - 2*h**3. Determine m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1737266.99987 - -1737255. Let z = h + 12. What is z rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11372388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10200\/312 + -15 + -18.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6078 is divided by 115.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -45*u**3 - 3*u**2 - 7*u - 7. Let s(k) be the second derivative of 3*k**5\/4 + k**4\/12 + k**3\/3 + k**2 + 975*k - 1. What is -4*m(h) - 14*s(h)?\nAnswer: -30*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 26.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 6\/5*(-530)\/954\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/(-24))\/((-6)\/4)*-8. Suppose 3*q = -o*q. Solve q = j - 1 + 3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-28)\/(-56))\/(6\/4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88684220?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4211 + 8427\/2. Which is the closest to -19\/2? (a) 0 (b) r (c) 2 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2 - 0) - (-4 + -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of w**5\/4 - 495*w**4\/4 + 49005*w**3\/2 - 4851495*w**2\/2 + 51*w - 2. Determine p so that c(p) = 0.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + w - 2. Calculate the remainder when (37 + 1)*((-1125)\/300)\/((-60)\/8) is divided by u(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 0.4, -712412, 0.2, 0 in decreasing order.\nAnswer: 5, 0.4, 0.2, 0, -4, -712412","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 453*b - 199*b - 195*b - 1 + 3*b + 3*b - 3*b + (-5 + 0 + 3)*(-5*b + 2*b + 4*b).\nAnswer: 60*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-1\/15)\/q)\/q)\/q*q**3*q\/(q\/(q**(3\/8)*q))*q*q**(1\/5) assuming q is positive.\nAnswer: q**(421\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 1614*r + 1612*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 40465. Let b = -145597\/18 + t. What is the common denominator of b and -13\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 3:44 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59)\/(-135) + 84\/210*4\/(-4).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -w**6\/15 + 13*w**2\/2 - 11*w. Differentiate h(v) wrt v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a**3 - 2*a**3 + 4*a**3 + 3*a**3.\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6254?\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 5*g = -2*j - 8, 0 = 5*g - j + 10. Suppose 66 = -5*i - 19. Let a = i - -10. Put a, 2, g in descending order.\nAnswer: 2, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-44)\/24*(-9 - -3). Let i(d) = -5*d**3 - 6*d**2 - 6. Let o(b) = -9*b**3 - 11*b**2 - 11. Determine s*i(k) - 6*o(k).\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.1, 3, 2, -113 in decreasing order.\nAnswer: 3, 2.1, 2, -113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 18.0244ml?\nAnswer: 0.0180244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 98 = -354. What is the highest common divisor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 0*u**2 - 1\/4*u**4 + 38 - 4*u + 2*u**3. Determine y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2066610233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(612) + (sqrt(612) - (2 + 1 + sqrt(612)))**2) + 4.\nAnswer: 40 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence smsm when four letters picked without replacement from sssmsssmms.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 49 - (44 + -72 - -82) - (-28 + (-1 - 0))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.31 - 21.99. Round z to zero decimal places.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-24))**(-3\/4) assuming n is positive.\nAnswer: n**(-75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 + 3. Let s(t) = 5*t**2 - 7. Suppose 2*j - 4 = 2*q - 18, -3*q = j - 21. Let b(r) = q*f(r) + 3*s(r). Let h(u) = 2*u**2. Give h(b(w)).\nAnswer: 2*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*k - 11778 = -197*k + 2910 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32267, -129055, -290367, -516203?\nAnswer: -806563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - -3)\/(6\/3). Let t(y) be the first derivative of 5\/3*y**3 + 0*y - 5\/4*y**4 + j + 0*y**2. Find the third derivative of t(v) wrt v.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -3*l + 19*l**2 - 8*l**2 - 2 - 6*l**2. What is the tens digit of u(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**4\/12 + 11*m**3\/6 + 5*m**2 - 9*m - 2. Let y(x) be the first derivative of i(x). Is 26 a factor of y(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14+-102478\nAnswer: -102492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(1 - 1 - 1)*(0*c + c + 0*c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76 + 76.47. Let h = -0.77 + v. Let z = 1 + -3. Which is the second smallest value? (a) z (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 76? (a) -0.03 (b) 1\/4 (c) -0.5 (d) 0.11 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1400 + 10970. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 32 = 0, -4*g - 3470*y - 12 = -3471*y. Let s = -0.7 + 0.2. What is the closest to -8 in g, s, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323\/6 <= 53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392534 is divided by 464176.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101190?\nAnswer: 2, 3, 5, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.52312 to two decimal places.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11990303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1039 - -1802. What are the prime factors of y?\nAnswer: 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51478 + -35285. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2257*z + 63. Let j(f) = 4513*f - 127. Let m(g) = -11*a(g) - 5*j(g). Find the first derivative of m(x) wrt x.\nAnswer: 2262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, w: 17}. What is prob of picking 1 w and 3 p?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001002220 (base 3) in base 13?\nAnswer: 20ba01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 550770166 to the power of 1\/2, to the nearest integer?\nAnswer: 23468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -19*p**3 + 61*p**2 - 17*p - 77. What is a(6)?\nAnswer: -2087","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258*m - 140*m - 139*m)*(-3 - 3 + 4)*(-2*m + 2 - 2).\nAnswer: -84*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 287335, -89, 1 in ascending order.\nAnswer: -89, 1, 287335","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 31007000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/8*126\/(-189)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20ffff + 1?\nAnswer: 210000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1414*r**3\/9 - 27890*r**2\/9 - 7804*r\/9 + 80\/9 = 0. What is r?\nAnswer: -2\/7, 1\/101, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 + 2*f**2 + 0*f**2)*(0 + 0 + f)*(-3 - 2 + 4).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*v - 7, y + 3 = -5*v - 1. Let o be 1 + (3 - y) + 0. Solve 2*w + 35 = 6*h - h, o*w = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 141, 249, 283, 207, -15, -419, -1041, -1917?\n\"Answer: -6*s**3 - s**2 + 153*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528491604 to the power of 1\/2, to the nearest integer?\nAnswer: 22989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 + (-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 73 + 28 + (-55 - 16)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20695976 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 100 = -6*c, -2*k = 1210054*c - 1210055*c - 30 for c.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 2*o - 447, -145 - 164 = 2*m - 5*o. Let t be 0 + -2 + (-2 - 92). Let c = t - m. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) -6 (b) 0.3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-4))\/(0 + (-1)\/(12\/3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(102)\/sqrt(6) - sqrt(17) - 1*(sqrt(17) + 1).\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 - 24*l - 19. What is the lowest common multiple of r(9) and 124?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -1)\/(4\/184). Let a = i + 18. Let m = 31 + a. Solve -5*u + 22 = -m for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 3076\/25. What is the common denominator of r and -47\/8?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-486)\/(-18) - 418\/19.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*m**3 - 49*m**3 - 42*m**3)*((4 - 4 + 13)*(4 - 5*m - 4) - 3 + 3 - 2*m).\nAnswer: -670*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1933*n + 1188 = 1936*n. What is the greatest common divisor of n and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46*j**3 + 80*j**2.\nAnswer: -2*j**2*(23*j - 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/7 + 750*t**3 + 239384*t**2\/7 = 0.\nAnswer: -5204, -46, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x = -23*x + 60. Find the third derivative of -22*q**5 - 9*q**5 - 182*q**x + 23*q**2 - 29*q**2 - 96*q**2 wrt q.\nAnswer: -12780*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -603 - 777.\nAnswer: -1380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/529626 and 43\/3428?\nAnswer: 1059252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 225*k**4 - 2199*k**3 - 56961*k**2 + 247860*k = 0 for k.\nAnswer: -81, -15, 0, 4, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.1. Suppose -93*h = -69*h - 24. Which is the fourth smallest value? (a) x (b) h (c) 0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 233*s**3 - 3*s + 3. Let r = -116 + 117. Let v be u(r). Let j = -148 + v. Calculate the remainder when j is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 5*a - 175, 4*r - 185 = -a + 4*a. Suppose -17*t + 13*t = -13*t + 36. Calculate the remainder when r is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*q = -254*q - 9 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1240 divided by -1?\nAnswer: -1240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20429756.\nAnswer: 2, 5107439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.6, 0.4, 5, -0.3, -2\/35 in ascending order.\nAnswer: -0.6, -0.3, -2\/35, 0.2, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631 = 4*j + 99. Let w be j\/49 + 4\/14. Solve 2*l - 3 = w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 1062620\nAnswer: 1062620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 3 = -2*s - 11, 5*o + 19 = -4*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one ninth of a week in seconds?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 36270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2585*j + 288267*j**2 + 2585*j - 288273*j**2.\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32023251 + 4?\nAnswer: 32023255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 443 + 126 = 4*p, -3*p - 234 = 2*d. What is the common denominator of (1\/2)\/(p\/32) and 107\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -1b54696?\nAnswer: 1b54693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 1\/7*v**2 - 3\/7*v.\nAnswer: (v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2 - 17331*q - 409288. Give c(1949).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*sqrt(612) + -2) - (-2 + 2 + (sqrt(17) - (sqrt(136)\/sqrt(8)*3 + sqrt(17)))).\nAnswer: -8 + 99*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27588151.03 rounded to the nearest 100000?\nAnswer: 27600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r + 18. Let c(p) = -8*p + 35. Let v(y) = -13*a(y) + 6*c(y). Let x be v(0). Let f be x\/(-63)*18\/312. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4397548 divided by -2539\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3\/3 + 13*p**2\/6 - 13*p\/3 - 8\/3.\nAnswer: (p - 2)*(p + 8)*(2*p + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 6*c)*(-41 - 25 + 46).\nAnswer: -80*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 817 plus 442862168?\nAnswer: 442862985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2411.\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*k - 57*k + 2765. Solve -126 = -k*h - 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 26*x + 12. Let a be v(0). Solve 4*r + 3*j = -r + a, 12 = 3*j for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 6 + 0 + 2*a**2 in the form y*a + o + u*a**2 and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Let x(r) = -26*r. Give x(t(f)).\nAnswer: -78*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 686*h**2 + 5475 + 675*h**2 + 683*h**2 - 2048*h**2 as o + n*h**2 + q*h and give o.\nAnswer: 5475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -24.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -b - f + 1282, 0 = -b + 3*f + 434. Suppose -b = -6*d + 346. What is the remainder when d is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, w: 2}. What is prob of sequence wyw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5881412 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4000\/205279 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and 164.08898.\nAnswer: -492.26694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16195\/5 - (-10 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + (4 - 0)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4319 is divided by 416.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - 75. Let o = u - -16. Which is the smallest value? (a) -2\/7 (b) o (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o. Let w(a) = -1826*a**2. Determine z(w(h)).\nAnswer: 5478*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131634494207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y + 2 - 2 + (0 - 3 + 2)*(-2*y - y + 4*y) - 7*y - 3*y + 2*y + (-3 + 2 - 1)*(-4 + 4 + 5*y) + 2 - 2 - 2*y.\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 - -63 - ((-2 - -3) + -3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1130390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/610 - 31723\/1830. Let v = 17 + x. What is the fourth biggest value in 0, v, 0.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385357671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 10*f**2 + 13*f + 4. What is y(2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-2003\nAnswer: -200.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwq when three letters picked without replacement from {z: 3, q: 2, s: 2, w: 5}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 52138, 14, 1, -5 in increasing order.\nAnswer: -5, -0.1, 1, 14, 52138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2. Let z(v) = 15*v**2 - 2*v + 2. Let s(h) = -884*h**2 + 119*h - 119. Let u(t) = 2*s(t) + 119*z(t). Give u(p(b)).\nAnswer: 17*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101111011110111 (base 2) to base 8.\nAnswer: 257367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 9698387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -806 and 0.198.\nAnswer: -159.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75607.42 - -7482159.\nAnswer: 7406551.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**3 - 602*g**2 + 1825*g + 288. Calculate m(-304).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134\/5 - -27. Suppose -3*f = -2*l - 8, -2*f = -2*l - l - 12. Which is smaller: f or s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102479814 and 8496.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u = 157*u - 362752. What is the greatest common divisor of u and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*r + 50*r**3 - 31*r**3 - 32*r**3 wrt r.\nAnswer: -78*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 131 + -130.8. What is the second smallest value in 13, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2604423ug in nanograms?\nAnswer: 260.4423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -97558 <= -97556?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 2\/21 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285513 is divided by 561?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -y**5 - 2292*y**4 - 6*y**3 - 142*y**2 - 573*y wrt y?\nAnswer: -60*y**2 - 55008*y - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5757636 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 334 and -30.53.\nAnswer: -10197.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6049640, -12099277, -18148914, -24198551, -30248188, -36297825?\nAnswer: -42347462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 >= -919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, 12704258, 1\/2.\nAnswer: -4, -0.4, 1\/2, 12704258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -56208, -1, -0.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/371624040 and 85\/3042536.\nAnswer: 2601368280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d - 72*d - 236 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 + 2*o**3 + 2*o**3)*(-9 - 80 - 187).\nAnswer: -1656*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(3\/2))*b**(1\/12))\/(b**(1\/4))**(-3\/4) assuming b is positive.\nAnswer: b**(85\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p = 5*y - 13, -4*p + 8 = 0. Suppose -t = y - 2, 285 = 4*j - 5*t. Is 14 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11871640 + 11871640 + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose 0 = -0*n + r*n - 106. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373023298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -37*j**3 + j**2 + 2*j + 1. Let y = -1 + 0. Let f be x(y). Let c = -25 + f. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -42. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9*h**2 - 634*h + 347. Give z(-71).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 4:09 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 77 + (2 - 48) - 46?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 51210 - -6125. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c - 184 = -2*v - 198, 23*c + v + 0*v = 47 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - m = -5. Suppose -7 - 13 = -m*i. Suppose 13 = -i*n + 5*u, 4*n = -2*u + 10 + 12. Sort n, -4, 5.\nAnswer: -4, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639163 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*b = 2*b - 85, 4*u - 5*b - 83 = 0. Suppose -g + u = g. What is the lowest common multiple of (-35)\/(-10)*1014\/273 and g?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 106 + 16)*(-7*b - 7*b - 13*b).\nAnswer: -2943*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, -19, 5, -4, 1.\nAnswer: -164, -19, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22841889.\nAnswer: 3, 7, 155387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 3*z + 2. Let k(q) = -24*q**2 + 110*q - 80. Let f(p) = -8*d(p) + k(p). Suppose f(b) = 0. Calculate b.\nAnswer: 3\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 16*j.\nAnswer: -4*j*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 + 1242*p**2 - 1748364*p - 3501680.\nAnswer: 2*(p - 676)*(p + 2)*(p + 1295)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -441*d*q + 56*q with respect to d.\nAnswer: -441*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19500 (base 10) in base 16?\nAnswer: -4c2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -7*n**5\/30 + n**3 + 14*n**2. Let o(y) = -21*y**2 + 9. Let k(f) = 7*d(f) - 5*o(f). Differentiate k(w) wrt w.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 1:04 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 239 + -1677\/7. Let l = -2 + 5. Let b = 131 - 130.9. Put b, d, l in descending order.\nAnswer: l, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 34*b**2. Let d(p) = 9*p**2. Suppose 0 = -5*l - 3*c + 13, 5*l + c - 29 = 2*c. Let n(q) = -5*q**2. Let f(v) = l*n(v) + 3*d(v). Determine f(z(j)).\nAnswer: 2312*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.9698 rounded to one dp?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 take away -69092576?\nAnswer: 69092999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1643\/93 - 14)*(-22)\/(-10) + -8.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + j**2 - 2*j + 6. Let p(s) = -2*s**3 - 4*s + 0*s + 3*s**2 + 11 - 4*s**2 + 3*s**2. What is -11*l(b) + 6*p(b)?\nAnswer: -b**3 + b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 30543 + 4?\nAnswer: 30551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*z = 5*p - 92, -2*p = -2*z - 202. Let x = 141 - 116. What is the remainder when p is divided by x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12 - 4)*5?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 555\/180 + (-4)\/48.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, w: 3, m: 5, a: 8, t: 1}. Give prob of picking 1 m, 1 w, and 2 a.\nAnswer: 35\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -39 + 22*l + l**4 + 675 - 10*l**2 - 23*l + 8*l**2 in the form s*l**4 + t + p*l**3 + j*l**2 + f*l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 164, -1, -13, 6 in ascending order.\nAnswer: -13, -1, 6, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -186*d. Let w(y) = -50*y. Give c(w(z)).\nAnswer: 9300*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80*18\/630)\/((-3)\/(-7)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 561. Suppose -i = -b - 154. Suppose -4*l = -5*l + i. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122126 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 923043378 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 2*d - 5062 = 20*f, -20240 = -4*f + 4*d. What are the prime factors of f?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11022111 + 11222222?\nAnswer: 100022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggwwwwdwddwwgg. What is prob of sequence wdgw?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 716.5 - 716. What is the closest to 0.1 in j, 0.4, -93?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 2660. Let n = x - -4024\/3. Let z = n + -11. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 849 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/6*(2 + 1). Let y be (-6)\/(-5)*s\/(-3). Sort 1, y, 2 in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326037 is divided by 326033.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z + 3*z - 2*z. Let d(q) = -q**3 - 55*q**2 + 159*q - 866. Let n be d(-58). Give o(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-5 + sqrt(14)\/((sqrt(77) - -2*sqrt(77))\/sqrt(11)) - ((sqrt(32)*-1)\/sqrt(2))\/(sqrt(32)\/(-1*sqrt(4)))))**2.\nAnswer: 60*sqrt(2) + 233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6351*b**2 - 6036*b**2 + 11061*b**2)*(b + 2 - 6 + 2).\nAnswer: -1326*b**3 + 2652*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2454, -5176, -8172, -11442, -14986, -18804, -22896?\n\"Answer: -137*f**2 - 2311*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -0.13 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2*k**3 + 4)*(1 + 2 - 6) - 72*k**2 + 72*k**2 + 28*k**3 to the form q*k**2 + s*k + b + g*k**3 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 2, -6, 19, -323 in ascending order.\nAnswer: -323, -6, -1, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 73.67348 days?\nAnswer: 6365388672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3\/2 + 1255*u**2 + 8981035*u\/2 - 3255670740.\nAnswer: -5*(u - 959)**2*(u + 1416)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1294164 and 1638024?\nAnswer: 339070968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1588379 and 65819?\nAnswer: 793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 6, u: 6, h: 1, o: 6}. Give prob of sequence tqq.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -39)*50\/30. Suppose -162*i + c = -157*i. Let f(p) = -p**3 - 4*p**2 - 1. Let m be f(-4). Sort m, i, 2 in increasing order.\nAnswer: m, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**2\/2 - 3*r - 4. Let j(s) = -s**2 - 2*s - 5*s + s - 2. Let m be j(-5). Determine f(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 50*q - 8. Let w be v(-14). Let h = -448 - w. What is h rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80697272?\nAnswer: 2, 389, 25931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 divided by -38?\nAnswer: 110\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 7:11 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = 2*m + 6 + 39 + 9, 0 = -14*m + 42 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*i = 43*i - c - 44, 0 = -4*i + 5*c + 13 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1144 + -1088.98. Let h = s + -55. Which is the closest to 2? (a) 0.5 (b) 4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 212 = -4*o, 8966*o - 13 - 43 = -a + 8965*o for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Let x be 28*(-1 - 25\/(-20)). Suppose -x*p = -9*p + 16. Solve -3*u = -6, -6*u = d - b*u - p for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**2 - 10 + 0*z**2 + 0*z**2 - 8*z**2 in the form o + g*z + l*z**2 and give o.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-60)*12\/10*1.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161*l**4 - 253.\nAnswer: 644*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 + (-8)\/(-28) + 446\/7 and 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -456a000 (base 11) to base 7\nAnswer: -124636126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a - 48. Let w be p(9). Let o(j) = 0*j - 8 + 5 - 4*j + w*j + 38. Determine o(-18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let v(w) = 2 + w - w**3 - 2*w - 4*w - 9*w**2. Let m(d) = -4*j(d) + v(d). Let x(y) = -3*y**2 - y. Let i be x(1). Determine m(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*l**3*m*n**3 - 10*l**3*m*n**2 - 34*l**3*m - 142*l**2*n**3 + 7*l*n**3 - 7*m wrt l?\nAnswer: -48*m*n**3 - 60*m*n**2 - 204*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 192\/5*g**2 + 0*g + 2\/5*g**5 - 8*g**4 - 184\/5*g**3.\nAnswer: 2*g**2*(g - 24)*(g + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*q - 52*q = -24845. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**2. Suppose 6*s + 4*x = 2*s, 5*s = -2*x. Let l(q) = -4*q + 4*q + q + s*q. Calculate l(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 3:50 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 9617735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -447, -1959, -4541, -8199, -12939, -18767, -25689?\n\"Answer: -f**3 - 529*f**2 + 82*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/1557*(42\/(-63))\/((-45)\/(-81))?\nAnswer: 2\/173","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 362.0475*10\nAnswer: 3620.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - w = 1429, 710 = f + 196*w - 192*w. Calculate the greatest common divisor of f and 1326.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*w**2 - w**2 - 4*w**2 to s + r*w + o*w**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0)**(1\/6)\/(z**(2\/15)\/(z**(-1\/10)\/z))*(((z\/z**3)\/z*z)**(-1\/9))**3 assuming z is positive.\nAnswer: z**(-17\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118\/(161\/((-6279)\/(-78))).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -324 + 351. Which is smaller: 23 or t?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 3 + 51 = 0. Find the second derivative of -13*a**5 + u*a**2 - 16*a**2 - 32*a + 7*a**2 wrt a.\nAnswer: -260*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -95, -371, -823, -1445, -2231, -3175?\n\"Answer: h**3 - 94*h**2 - h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -453 - -2?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 + t + 2. Let v be p(7). Let m be (4 - 13)*8\/(-24). Solve -i = -3*b + 9, -4*i + v*i = -m*b + 9 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1617 - 202 + 738 - 23*m**3.\nAnswer: -23*m**3 + 2153","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zolld. Give prob of sequence dlz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*a + k = -71*a + 5, -12*k = 2*a + 5*a + 74 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 205*i**2 + 2504*i + 893. Calculate v(-192).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -0.5 (c) 4\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3 - 2644*z**2 - 170419*z - 330254 = 0 for z.\nAnswer: -61, -2, 2707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from vvvivvivvvvviv?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11*p - 32160 = -14*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + (12 - -18) - (3 - 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - -1620b2?\nAnswer: 1620b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -970, -2186, -3888?\nAnswer: -6076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 14 = 3*f. What is the remainder when f is divided by 1 + -2 + -1 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 4 - (-4 + 8) - 0.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 4*x + 12, 2*g + 2*x - 3 = 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*t, -3*v + 4*t = -4*v - 4. Let z be (-1 + (-22)\/(-8))*v. Let l = -77 - -126. What is the greatest common factor of z and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1227259639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 302776483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 351 + -211. Let z(b) = -71 - 69 + 4*b**2 + l. Let s(w) = 3*w**2. Calculate s(z(h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 63\/2195 - -28409\/4390. Factor y*o**2 - 3\/2 - 7\/4*o**3 - 13\/4*o.\nAnswer: -(o - 3)*(o - 1)*(7*o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*h - 277*h + 1355 - 111 = 0. Solve -15 = -h*r - 3*p, 2*p = 5*r - 10 - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 267 + 263 + 2540*c + 263 - 793 in the form m + w*c and give w.\nAnswer: 2540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3) - 14\/(-3). Suppose n*a - 33 - 23 = -3*l, 4*l - 38 = -2*a. Suppose 0 = -5*v + i + i - a, 0 = v - 4*i + 13. Which is greater: v or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - -6 - 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6048090 divided by -1.\nAnswer: 6048090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q - 13. Let t be g(9). Suppose 3*f + f + 2*m - 40 = 0, -5*f = -2*m - t. What is the smallest common multiple of 3 and (2\/(-3))\/((-2)\/f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 1. Let r be w(-6). Let d = -3 - r. Is (d\/(-3))\/(10\/(-1065)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12289002 a multiple of 242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**2. Let s(p) = 151*p**2 + 2*p - 19*p**2 + 130*p**2 - 2*p. What is s(d(n))?\nAnswer: 2358*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 7*l**2 - 9*l + 24. Let d be x(6). Let c(b) = -3*b + 1. Calculate c(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 2, -12, 12, -4\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 g, and 1 k when four letters picked without replacement from {k: 2, v: 4, g: 2}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*t = 3*w - 142904, 3*w = -4*t + 107199. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3560*d**2 + 5674*d**2 - 20940*d**2.\nAnswer: -18826*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -t**4\/12 - 20*t**3\/3 - 16*t. Let v(n) = 2*n. Calculate c(v(s)).\nAnswer: -4*s**2 - 80*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 330*x**2 - 21*x - 559. Let y(i) = 329*i**2 - 14*i - 558. Let q(u) = -2*a(u) + 3*y(u). Differentiate q(z) wrt z.\nAnswer: 654*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (177*i - 12*i + 28*i)*(0*i - 2*i + i + (-2*i + 3 - 3)*(1 - 2 + 2)).\nAnswer: -579*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-39)))**(-21)*r\/r**(-4\/5)*r*r\/r**5*r)**(-2\/101) assuming r is positive.\nAnswer: r**(8192\/505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3459 + 220 = 0. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7239626 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: Factor -l**5 + 105*l**4 - 206*l**3 - 2*l**2 + 207*l - 103.\nAnswer: -(l - 103)*(l - 1)**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 87, 1.59, -8\/9, 27, -5 in decreasing order.\nAnswer: 87, 27, 1.59, -8\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*c**3*d - c**3 - 2*c**2*d**2 - 1704*c + 31*d**2 - d wrt d.\nAnswer: -4*c**3 - 4*c**2*d + 62*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nxxn when four letters picked without replacement from {n: 5, x: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 5*c**2 - 4*c + 3. Let h = 22 - 18. Let s be t(h). What is the highest common divisor of s and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b*s**2 + 151*b - 16*s**3 + 2*s**2 wrt s.\nAnswer: -4*b*s - 48*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**3 - 8*k**2 - 7*k. Let v(r) = -5*r**3 + 9*r**2 + 8*r. What is 7*f(s) + 6*v(s)?\nAnswer: 5*s**3 - 2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 + -20?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43 + 39. Let w be -1 - (g - -6) - -2. What is the nearest to w in -0.4, 0.21, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 551022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1539266.706 rounded to the nearest 1000?\nAnswer: -1539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 952 a factor of 843472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + f + 3*f - 18, -3*f = -2*j - 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48072*p**5 - 28*p**4 - 5470*p + 72656?\nAnswer: 961440*p**3 - 336*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*c - 28*c = 318800. Round c to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0836 and 8.\nAnswer: 0.6688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07 + -23563.\nAnswer: -23563.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-340)\/(-55) - (-4)\/(-22). Let s(c) = 2*c**2 + 1. Let p be s(1). Calculate the highest common factor of x and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - z = 12, -7*z = -2*t - 2*z + 14. Suppose -5*r + 2 = 2*m + 23, -12 = -m + t*r. Which is the third smallest value? (a) -4 (b) m (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2538)*21*214\/(-749))\/((-1)\/(-9)).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 12*i - 2. What is the remainder when b(-4) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1929 is divided by 72?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244623 is divided by 206?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145033 = 5294*d + 30220 - 155181 for d.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 8611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 346 - 204. Suppose 151*s - 192*s = -3362. Let k = q - s. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 - 20\/5 - -1. Sort -1, -6, i in descending order.\nAnswer: -1, -6, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5402 and 9796527.\nAnswer: 19593054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0*x - 4*q - 14, 0 = 5*x + 5*q + 15. Suppose -4 = -3*h + x*h. Suppose -4*s + 0 = 5*d + 2, 4 = -h*d - 4*s. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2033 bigger than -91\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.12 + 0.12. Let s = 7 + a. Is 1 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6107379*g**6 - 14*g**4 + 4*g**2 - 15*g + 264315 wrt g?\nAnswer: 732885480*g**3 - 336*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hhhhhrhrhhhjhruhrhuu.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5524 - -5525. What is the closest to q in -2\/41, -2\/3, -18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from diddidlge. Give prob of sequence ie.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m + 2*m - 4*m - 7 - 3. Let s be a(-12). Let v = 5 + s. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389.9868 months to centuries.\nAnswer: 0.324989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 4*u**2 - 9*u + 21. Let k be q(8). Let z = 228 - k. What is the remainder when 113 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22\/149061691 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - 323?\nAnswer: -32a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sswwsss. Give prob of sequence sww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 4*u + 15. Suppose -4*b - 1 = -3*s, 5*s - 25 = u*b - 8*b. Find the third derivative of 5*v**3 + 0*v**3 + v**2 - s*v**3 wrt v.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 220*c = -224*c + 14, -5*c = -5*t - 40 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -737*n + 6596. Let i be r(9). Let p(z) = z**2 + 34*z - 111. What is p(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 7?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.18 and 2.82.\nAnswer: -3.3276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 t when three letters picked without replacement from bnkbt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:27 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3478*b**4 - 30322*b**3\/3 - 2956*b**2\/3 + 16*b = 0.\nAnswer: -4\/37, 0, 2\/141, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 3, 61370 in decreasing order.\nAnswer: 61370, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 290518 and 18?\nAnswer: 2614662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 82746371\/408288 + -1\/136096. Factor -q*b + 8\/3 - 3750*b**3 + 3950*b**2.\nAnswer: -2*(b - 1)*(75*b - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11299? (a) 2 (b) -4 (c) 2\/5 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-8 - 18)) + -33 - -69?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59179941 to the nearest integer?\nAnswer: 7693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 1\/23 (c) -0.6 (d) -2\/241 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 53*q**2 - 55*q + 757. What is d(27)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -19*b**2 + 130*b + 21. Let y be t(7). Is y > -2\/5361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -82. Let r be ((-2)\/4)\/(1*h\/(-10)). Find the second derivative of -4*p - 15*p - 23*p**r + 0*p**5 - 10*p wrt p.\nAnswer: -460*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 189 and 1281.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 22*n + 15*n + 49 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.68636872 from -0.0387961.\nAnswer: 0.64757262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6147*x + 18468. What is t(3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 15886844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 94018, 4.\nAnswer: 4, 74, 94018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-8)*(-608)\/24)\/1. Solve -8*r - h = 10 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 9*m + 12. Calculate the lowest common multiple of 52 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x**(-5\/7))*(x\/x**(-4)*x)\/x*x**(-1\/14)\/(x*x\/(x\/(x\/x**27)*x)*x*x) assuming x is positive.\nAnswer: x**(415\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -4, 5, 21, -11439 in decreasing order.\nAnswer: 21, 5, 0, -4, -5, -11439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:43 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4*(67\/2 + 2) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by -51.\nAnswer: 55\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.0098 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2120 or 2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Let q be 24\/4 - (-1 + t). Let l = 2 + q. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v = -36*v. Let w(q) = -q**3 - 4*q**2 + 741. What is the remainder when w(v) is divided by 53?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.014785 - 60.\nAnswer: -60.014785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-3 + 0 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127200.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i + 9. Suppose -2*w = -3 - 11. Let f be o(w). Suppose -4*k - 4 = -2*z, -4*z = 2*k - 4*k - 8. Calculate the highest common divisor of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 31 - 1561254?\nAnswer: -1561223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + v - 1)*(-5*v + v + 5*v) + 2*v**2 + 7*v - 7*v to the form d*v**2 + n + y*v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 956*v + 96. Give o(0).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0743 in 110, -1\/12, -0.1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -7 + (4 - 0) + 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 + 2*p**2 - 13 + 0*p**2 - p**2 to s + m*p**2 + v*p and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175 + 182.7. Let c = 7.9 + 1.1. Let n = c - o. What is n rounded to one decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 11:11 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607933697?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*((-3)\/(-3))\/(9\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373399974 to the power of 1\/3, to the nearest integer?\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 70*l**2 - 24*l + 52. List the prime factors of v(-70).\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from iyyyiyiiiii.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13374559, -13374556, -13374553, -13374550, -13374547, -13374544?\nAnswer: -13374541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 10. Sort 5, c, 2 in descending order.\nAnswer: 5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*n**4 - 656*n - 2934 with respect to n.\nAnswer: -12*n**3 - 656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-11 - 8)) + -4 + -12 + 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 307. Let x(d) = 5 - 40*d - 41*d - 10*d**2 + d**3 + 72*d - q*d**3 + 2*d**3. Determine x(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.5, -5, -1, 3\/5, 110 in decreasing order.\nAnswer: 110, 3\/5, 0.5, 0.09, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1701574290, 3403148582, 5104722874?\n\"Answer: 1701574292*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 9*w + 0 + 0. Let s(y) = -9*y. Let g = 10 - 7. Let b(d) = g*j(d) + 4*s(d). Let t(q) = q. Calculate b(t(r)).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -128000*y**5\/9 - 13769600*y**4\/9 - 49520080*y**3\/3 - 619211002*y**2\/9 - 1146184360*y\/9 - 263757056\/3 = 0.\nAnswer: -96, -4, -101\/40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f + 4758 = 508. Suppose f = 34*y - 9*y. What is the smallest common multiple of y and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - o + 1. Suppose 8*s + 14 = 6. Let i(z) = -22*z**4 - 6*z**3 - z - 4. Let k(v) = s*i(v) - 6*r(v). Find the second derivative of k(d) wrt d.\nAnswer: 264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*u**3*v**3 - 339441*u**3 + u*v**2 - 3*u - 12718*v**3 - 8*v**2 - 6*v wrt u.\nAnswer: -342*u*v**3 - 2036646*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 387, 1519, 3405, 6045, 9439, 13587?\n\"Answer: 377*f**2 + f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 13*s)*(1 + 4 - 4)*(-s**2 - 3*s**2 + 0*s**2) as i*s + z*s**3 + l*s**2 + p and give z.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 9:15 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -9*x**4\/2 + 9363*x**3\/2 - 24810*x**2 - 31122*x + 74520 = 0.\nAnswer: -2, 4\/3, 6, 1035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 349714.9 decades in centuries?\nAnswer: 34971.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 11 + 3 = 0. Let a = g - -3. Let l be a*(4\/(-2))\/10. What is the smallest value in 1\/9, 2, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*d = -p - 3, -4*p + 4*d = 36. Let r be (140\/15)\/((-1)\/p). List the prime factors of 304\/7 + (-24)\/r.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 21?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(1539) - (sqrt(1539) + 3*sqrt(1539))) + (sqrt(1539) - (2 + (sqrt(1539) - (sqrt(1539) + -2)))) + 5 - (0 + -3 + sqrt(1539)*3 + 4))**2.\nAnswer: -270*sqrt(19) + 38484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -22004 (base 5) in base 11?\nAnswer: -1148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 + 4*g**3 + g**3 - 6*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274830*c*o**5 - 22*c*o**3 - 43879273*c*o**2 wrt o.\nAnswer: -16489800*c*o**2 - 132*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0)*(-4)\/(-32)*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 4*v**2 - 5*v**2)*(0*v - 2*v + 6*v)*(19*v + 2*v + 63*v).\nAnswer: 336*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5 - (-7 + 13))*0)\/(3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 205 = 29*k. Sort 13, 0, k, -8 in descending order.\nAnswer: 13, 0, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, r: 1, k: 1, n: 2}. Give prob of sequence kr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21581588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -403025 (base 8) in base 14?\nAnswer: -36497","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 12) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101.2 - -101.24. Let l = 0.03 - -0.01. Let g = l - o. What is the fourth smallest value in g, 2, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 478 + -183. Calculate the least common multiple of 11 and v.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1426\/(-23))\/((-10)\/(20\/(-2))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 23634416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11649 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 298149 divided by -6.\nAnswer: -99383\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/7)\/(b**(-2\/7)\/b)*b**(-3\/5)\/b*b**(-1)*b)\/((b**0)**47\/((b*b*b\/(b**(1\/2)\/b)*b)\/b)**(-23)) assuming b is positive.\nAnswer: b**(-5637\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 99*k**2 + 30*k + 25. Let n(o) = -99*o**2 - 30*o - 27. Let f(y) = 2*c(y) + 3*n(y). Let v be f(-19). What is v rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = -2*u, 3 - 19 = 6*q - 4*u. Let x(m) = 3*m + 1 - 3*m**2 + 0*m**2 - m. Calculate x(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 8. Let a be t(3). Suppose -a*l + 20 + 166 = -3*w, 5*w = -10. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = -4*z. Suppose c - 4*c = z*f - 2, 0 = 4*c - 2*f - 26. Solve 4*y = -3*k - 0 - 1, -5*y = -c*k + 9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-405)\/(-189) + -2)*140\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -15*c**3 - 4*c**2 - c. Let y be j(-1). Solve y + 0 = 4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1 and -241310243440.\nAnswer: -241310243439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 33106332 (base 7) to base 2\nAnswer: 1010110101111111110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-51) + 0)*(-302)\/(-1208). What is the second smallest value in 0.1, -7, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -6*p - 94. Determine q(-6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x - 1. Suppose 5*s - 37 = -3*g, -4*s + 35 = g + 11. Suppose 0 = -2*t + g - 2. Calculate y(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32733 - 0.02733. Which is the nearest to 0? (a) q (b) -5 (c) 4\/3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (1 - -2)*191*27\/81 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -460 + 422. List the prime factors of (g + 1)*(12 + -11)*-19.\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.81 + -27.78. Let k = 1.085 - i. Let b = 11 - k. What is b rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 2*j - 495 = 0. Suppose -2*x - 3*m = 4*m - 5*m - 74, -10*m = 0. Calculate the remainder when j is divided by x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = 0. Suppose 10 = -5*u - b. Let j be 1 + 1 - (-12)\/(-2). Sort 1, j, u.\nAnswer: j, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96105830 and 53150.\nAnswer: 10630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (4 + -4))\/((-12)\/47688)?\nAnswer: 2, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*x + 570 = 106*x - 2*b, -2*x + 70 = 2*b for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -297 - -299. Let h be 14\/6 - 1\/3. Calculate the greatest common divisor of h and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pff when three letters picked without replacement from poffpsas?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*-2 - -1. Let p(m) = m**2. Let y(w) = -16*w + 26*w - 9*w**2 - 8*w. Let x(q) = v*y(q) - 6*p(q). Find the second derivative of x(b) wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1393 + 487 - 584)*(-5*v + 0*v + 4*v).\nAnswer: -1296*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -3. Let n(a) = -a + 7. Let t be n(9). Is 11 a factor of t\/f - (-79)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**4 + 0*i**4 - i**4)*(0 - i + 0 + (5*i + 0*i - 4*i)*(-3 + 0 + 1) + 2*i + i - 5*i - 4*i - 4*i + 6*i).\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 50 - -1d063?\nAnswer: 1d0b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -23*v**2 - 32. Let i(t) = 47*t**2 + 64. Let k(p) = 7*d(p) + 4*i(p). Differentiate k(u) wrt u.\nAnswer: 54*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -1. Suppose c = 3*s - 5*z - 24, s + z - 6 = 0. List the prime factors of (s - 2)\/(1 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**3 - 222*p**2 + 592*p + 6048 = 0. What is p?\nAnswer: -4, 7, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -633\/1330 + 9\/190. Let b = -2.06 + 0.06. What is the third biggest value in -1\/5, -5, z, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 88 = -94. Let p = q + 175. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Solve -3*c = -3*m + 9, -2*c - c = h*m - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -18387, -36802, -55217, -73632, -92047?\n\"Answer: -18415*g + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*v**4 - 419*v**4 - 211*v**4 + (-3*v**2 + 3*v**3 + 3*v**2)*(2*v - 2*v + 2*v) to the form k*v**3 + w*v**2 + q + l*v**4 + a*v and give l.\nAnswer: -637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.16, 93435\/197, -0.2 in descending order.\nAnswer: 93435\/197, 0.16, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -93 + (85 - (-70 - -164))?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + (16\/7 - 1). Let u = 1 + 5. Let o be (2\/(-3))\/(2\/u). Which is smaller: j or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -2*c + 2. Let v(p) = -9*p + 6. Let g(s) = 3*f(s) - v(s). Let i(x) = 22*x. What is i(g(y))?\nAnswer: 66*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3035468376 and 1.\nAnswer: -3035468375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 7, o: 5, s: 2, u: 1, f: 4}. Give prob of sequence doo.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2\/43 + (0 + 0)\/(-107 - -94)\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 17*x - 13. Calculate u(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795\/4 bigger than -296258?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -106143.27 - -105396. Let t = -744 - s. Let j = -0.27 + t. Which is the third smallest value? (a) 5 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dzdzidzzdddjddzddid.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -2\/5, -170, -2, -0.1, -37.69?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 4:05 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*n - 2825 - 3025. Let k(h) be the first derivative of -n + 2\/3*h**3 - 1\/6*h**4 - 8\/3*h + 0*h**2. Factor k(l).\nAnswer: -2*(l - 2)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -k**5\/10 - 352*k**4 - 495616*k**3 - 348913664*k**2 + 2904*k. Factor s(l).\nAnswer: -2*(l + 704)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, x: 11}. What is prob of picking 4 x?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -19*q - 163. Let j be f(-9). Let k(c) = -c**3 + 8*c**2 - c - 4. Determine k(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0545289431 rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 14) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214225 is divided by 71404?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 203 and -0.4.\nAnswer: -81.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -21 in increasing order.\nAnswer: -21, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.79047 + -6.64877. Let b = 5.94 + u. What is b rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 30 + 27. Let k = -33 - -16. Let n = k - -12. What is the closest to d in n, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15. Let t be (-4 - -10)\/(-3)*d. Solve t*a = -2 + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -1243, -2826, -5049?\nAnswer: -7912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31282453 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224 = 5*l + 27*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 21*a + 828. Let u be k(-39). Put -42.4, u, -0.3 in increasing order.\nAnswer: -42.4, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - -0.3. Let h = 0.076 - -3.224. Let f = h - 7.3. Put -1, z, f in decreasing order.\nAnswer: z, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 9:46 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -324075, -324088, -324113, -324156, -324223?\n\"Answer: -f**3 - 6*f - 324068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 2*b**2 - 2*b**2)*(15*b**2 + 550*b - 550*b).\nAnswer: -75*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + p - 13*p**2 + 13*p**2 - 2*p**4 - 4*p**3 to m*p**4 + t*p**3 + v*p + j*p**2 + z and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q**2 - 22*q - 22. Let l(r) = 7*r**2 + 43*r + 45. Let t(m) = -5*b(m) - 3*l(m). What is the units digit of t(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502718.\nAnswer: 2, 3, 7, 37, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-225789)\/(-21)*28\/(-17880). Let a = h - -3\/745. Let q = 7\/590 + 20341\/1180. What is the common denominator of q and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x**(-2\/5)\/x*x*x))*x\/x**(-12))**(3\/4)\/(((x\/(x\/(x*x**(-3\/4))))\/(x**(-5)\/x))\/(x*x*x\/x**9*x**(-2\/9))) assuming x is positive.\nAnswer: x**(-137\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4626407613?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/10 + 622\/5 + -7.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03 * 1485.76.\nAnswer: 44.5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 1:00 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27327092*q**5 + 2*q**4 - 42*q**2 + q + 72038?\nAnswer: 1639625520*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 15*i + 14. Let a(w) be the second derivative of 7*w**3\/6 + 7*w**2\/2 - 26*w. Let p(g) = 9*a(g) - 4*u(g). What is the tens digit of p(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0*c = -5*c - 235, -c + 94 = 2*k. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3175*m = y - 3180*m - 12, 4 = -2*m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 4480635068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -18) + (0 - (-12 + 31)) + -12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3529 is divided by 1170.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99) - ((-1 + sqrt(1584) + sqrt(1584) + sqrt(1584))**2 + sqrt(11)).\nAnswer: -14254 + 74*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2340*a**4*p - 37*a**3*p - 2*a*p - a - 18347*p - 1 wrt a.\nAnswer: 28080*a**2*p - 222*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*q**4 - 51*q**2 - 424*q + 19848687.\nAnswer: -220*q**3 - 102*q - 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 11. Which is smaller: l or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/5 + 5409*l**2\/5 - 3181113*l\/5 + 121053855.\nAnswer: -3*(l - 689)**2*(l - 425)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -1 + -3 - -14) + (-55 - (66 + -23))?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.58313us to nanoseconds.\nAnswer: 95583.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18800787 a multiple of 894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -10510 divided by 5255\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/12 - g**3\/2 - 5*g**2\/2 - 23*g + 15. Let y(k) be the first derivative of z(k). What is y(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-10)\/35)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 869952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20505876 is divided by 1705.\nAnswer: 1546","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n**2 + 3*n**2 - n**2)*(70*n - 31*n + 58*n).\nAnswer: -194*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 474202 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84.69 + -212.69. Sort -4, 5, -0.4, -5, j in ascending order.\nAnswer: j, -5, -4, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 - 702*j**3 - 708*j**2 + 702*j + 705 = 0. What is j?\nAnswer: -1, 1, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 26 = -5*a + 1, -2*p = -a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-23964453)\/(-38))\/9 - 5\/2 is divided by 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68 by -125.\nAnswer: -68\/125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 - 13 + 48 + 69 + 5*g**2 - 31 to the form h*g**2 + q + p*g and give q.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*o. Let a = 5 + o. Let m(k) = k**3 + 4*k**2 + 2*k - 2. Let b be m(-3). Solve b = -a*h + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-4)*7*(-16)\/560?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 667?\nAnswer: 1334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (3 + -2) - -2)\/((-216)\/(-1836))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 4. Let x = 0.26765 + -0.28765. Which is the nearest to 2? (a) x (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000313 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*p = -22*p + 88. What is the remainder when 53 is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1327*j = 1326*j + 7 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 + 66*r + 1539. What is f(-36)?\nAnswer: 5643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/28*(9 - (-3)\/(-1))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75662 = -17*d - 75730 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4180 is divided by 439.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**2 + 39*s**2 + 24*s**2)*(0*s**2 + s**2 + s**2 + (5 - 2 - 1)*(5 - 5 - 2*s**2) + s**2 + 0*s**2 - 4*s**2).\nAnswer: -230*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 408606 is divided by 29186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**3 + 2*a**2 - 1. Let c be h(1). Let q = c + 4. Suppose q = -4*x + 322 - 62. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4\/13 + 50*g**3\/13 - 138*g**2\/13 + 134*g\/13 - 44\/13.\nAnswer: -2*(g - 22)*(g - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/98 in 2\/9, -4, -347?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 5) to base 16.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4344*p**2 + 0 + 0 - 3444*p**2.\nAnswer: -7788*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r**2 + 821*r + 1028. Calculate p(-47).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.61128 litres in millilitres?\nAnswer: 46611.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1083 by 38.\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61752, 123395, 184926, 246345, 307652, 368847?\nAnswer: 429930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 84\/(-16)*8\/3. Suppose -5*a = -3*v - 41, -20 = 2*v - a + 5. Is v < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 35164 = 10*m + 1857. What is the remainder when m is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -177, -167, -153, -135?\n\"Answer: 2*k**2 + 4*k - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + -4 + 1 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and 2020.1.\nAnswer: 2019.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 620034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8 - 12*b**2 + b**3 + 0*b + 3*b + 8*b**2. Let k be v(7). What is the highest common factor of 16 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 7*u - 15. What is the second derivative of 3*g + 30*g**5 + 22*g**5 - 55*g**u wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -49434, -98869, -148304, -197739, -247174?\n\"Answer: -49435*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 284?\nAnswer: 25.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (20 + -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72974 is divided by 174.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Let j(l) = -3*l - 88. Calculate -g(w) - j(w).\nAnswer: 2*w + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*1 + 0\/(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose l + 0*l - x = 0. Solve -l*q - 5*p - 25 = 0, 0 = -5*q - 3*p - 8 - 7 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 3*i - 2*i**3 + 2 + 2 + i**3 - i**3. Let l be b(-3). Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -24*h - 23 + 2*h**2 + 83 - 3*h**2 + 0*h**2. Let t be q(-26). Solve -3*a = -4*l - t*a + 20, -4*l + 5*a - 20 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 51. Solve x*n = 2*d + 3, -5*n - 1 = -6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2 - 8*g - 2. Let c(n) = n**3 - 4*n**2 - 8*n - 1. Suppose -19*k + 24*k + 25 = 0. Let r(v) = k*c(v) + 4*t(v). Determine r(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 times 0.5?\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 12) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**3\/3 - 7*r**2 + 27*r + 14. Let q be c(-8). Let s = -61 + q. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579493247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 5*o - 60. What is the greatest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90*y = 100*y - 6010. Is y a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -149*u**3 - u**2 + u. Let c be a(1). Let r = 252 + c. What are the prime factors of r?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-14)\/105)*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3915649 times -3\nAnswer: 11746947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 13*y**3 - 6*y**2 - 5*y + 1. Let q(g) = -g**3 + g**2 + g. Let o(f) = -b(f) - 4*q(f). Let p be o(2). Let l = p - -127. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n - 62. Let t be a(-7). Solve -4*v - 2*z - t = 0, 4*v + 3*z + 12 = -z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/12 - 56\/(-12). Suppose -2*v + 0*k + 21 = g*k, v + 2*k = 8. Is (v\/(-4))\/(10\/13060) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 986970 by 197394.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4928.6 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 + 35*c**2 + 18*c + 5. Let f be d(18). Suppose 4*k + 0*b + 608 = -f*b, -k = -3*b + 169. What is k rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 + 3*q. Calculate h(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 12*z**2 - 24*z - 77. Let j be x(7). Solve p + 3*d = -j*p - 4, 3*p + 12 = 3*d for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (6\/(-9))\/((-6)\/387)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120437717 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38165 + -22174. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 + 116\/6. Suppose 5*m - 289 = 96. Suppose 3*d = -0*y - 2*y + 50, 3*y + 5*d - m = 0. What is the greatest common divisor of s and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17975142 is divided by 58?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 750\/495 - 12\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 3*o - 17, 0 = -3*y - 3*o + 8 + 7. Solve -3*x = y*i + 19 + 4, 5*i = -5*x - 45 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 9:41 PM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 o when three letters picked without replacement from {q: 4, o: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 5*r - 2*r - 74, -5*r - 3*p = -162. Calculate the remainder when 11 - 11 - 11*-11 - 3 is divided by r.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-16))\/((-2)\/(-44)). Suppose 0 = p - u + 5. What is the remainder when 9 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (84\/(-18))\/(-1*4\/48).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*42\/(-56))\/(-15)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3 - 9 = 0. Factor -2*n**2 + 3*n + 0*n + 0*n**s - 5*n.\nAnswer: -2*n*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 4*(sqrt(512) - (sqrt(512) + 0))*-3 + 3 + -2*-3*sqrt(512)*-4)**2.\nAnswer: -4608*sqrt(2) + 294948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3133442 - 4?\nAnswer: -3134001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 11. Let o = i + -6.95. Round o to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7\/5170?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 16) to base 3\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -15*y - 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 4*j**2 + 1 + 6*j + 3 + 3*j**2 - 7. Let i(b) = -14*b**2 - 12*b + 5. Let v(k) = 5*c(k) + 3*i(k). What is the second derivative of v(q) wrt q?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 482 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -4.4118.\nAnswer: -4.6118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -301 - -305. Solve -v*x - 18 = 2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4111?\nAnswer: 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.029 + 8.071. Let c = 0.9 + z. Let g = c - 9.000016. What is g rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 61 - 64. Is 518 + -2 + (-3)\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y + 13. Let i be l(11). Let r be (i\/(-4))\/((-1)\/6). Suppose -r = -4*x + 9. What is the remainder when 5 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 2*f - 3. Suppose -4*n + 43 = -n + 2*l, -5*l = -25. Suppose -4*g + 3 - n = 0. Let b(r) = r**2 + r - 2. What is g*k(x) + 3*b(x)?\nAnswer: -x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and 1053320?\nAnswer: -52666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d. Let h(f) be the first derivative of -5*f**4\/24 - 11*f**2\/2 + 106. Let p(a) be the second derivative of h(a). What is r(p(n))?\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1619 is divided by 39.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(66\/18 - 1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 3*h + 2. Let g be f(-2). Let w be (1 - 5) + (g - 1). Let a = -905.1 + 905. Which is smaller: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {s: 1, j: 1, w: 1, y: 1, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 - 233?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 11:01 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 7, 19, 47, 97?\nAnswer: 175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 divided by -349?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.1. Let j = -57667\/4 - -14417. Which is the closest to j? (a) -6 (b) g (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3324 and 28?\nAnswer: 23268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17 and 697.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 98494*i + 5414145. What is z(55)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 95, 157, 227, 305, 391, 485?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55097?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/55))\/(c*c\/(c\/(c\/c**(-9)))))**(2\/11))**(-27) assuming c is positive.\nAnswer: c**(29592\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*v + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-23484)\/(-45))\/(-6 - (-132)\/20). Let s = 872 - z. Factor 16\/9 - s*o + 2\/9*o**2 + 2\/9*o**3.\nAnswer: 2*(o - 2)*(o - 1)*(o + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d**(2\/5)*d))**(-13)*((d\/(d*d\/(d\/(d*((d**0\/d)\/d)\/d*d))*d))\/d)**(-5\/11) assuming d is positive.\nAnswer: d**(1026\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -397*m**2 + 868*m**2 - 1906*m**2 - 1095*m**2 - 942*m**2 in the form t*m + x + d*m**2 and give d.\nAnswer: -3472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -1. Let w(d) = -2*d**2 - 13*d - 9. Let v(q) = -6*l(q) + w(q). Let a(h) = -434*h + 46433. Let g be a(107). Determine v(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.9 - -41. Which is the third smallest value? (a) 2 (b) 0.01 (c) t (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 76*t**5 - 5*t**4 + 155*t**2 - 10*t + 1. Let r(z) = z**4 + z**2 + 2*z. Let u(k) = l(k) + 5*r(k). Find the third derivative of u(f) wrt f.\nAnswer: 4560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115251611.\nAnswer: 127, 907493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z*z**(-6)*z**(3\/7)*(z*z\/(z*z**(-2\/5)))\/(z\/(z\/z**7)) assuming z is positive.\nAnswer: z**(-321\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 2927*s**2 - 2360456*s - 311317612 = 0?\nAnswer: -1382, -163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from {a: 6, f: 10, m: 2}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:44 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 + 5*n**2 - 8*n + 6. Let p(w) = -w**3 + w - 1. Calculate 6*p(a) + y(a).\nAnswer: -a**3 + 5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61603 is divided by 19254.\nAnswer: 3841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 9946132?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 697012 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 156 = 24. Suppose -x = 58 - d. Let l be 52\/(-91) - x\/14. Solve 0*o = o + l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 179120.\nAnswer: 1612080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/7, 0.005, -16.1, -3\/8, 3?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 + 5*x**3\/6 + 5*x**2\/2 + 34*x. Give g(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6381133483 - 0.05.\nAnswer: -0.6881133483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261*w**2 - 190*w**2 - 3*w + 410*w**2 - 1 - 1.\nAnswer: 481*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104602 - -7.5.\nAnswer: 104609.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-4)\/(-2) + (-21)\/(-7). Suppose -4*z + 0*z - 3*m = -66, l*z - 69 = 3*m. Solve -5*y = -z, q + y + 1 = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 281333*m\/2 + 9989842.\nAnswer: -(m - 281404)*(m + 71)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 11*h = 13*h - 498, 4*h = 3*m + 371. Let s = 6 - 4. Is 28 a factor of ((-32)\/s)\/(3 + m\/40)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**4 + 1488*g**3 + 2986*g**2 - 1488*g - 2984 = 0. Calculate g.\nAnswer: -2, -1, 1, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486 = -43*k + 37*k. Let x = 82 - k. Let c be 2*(-2 - 75\/(-24) - x). What is the closest to 11 in c, -5, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 97 - 29)*(-4*c + 3*c + 0*c) - c + c - 2*c + (0*c - 2*c + c)*(-2 - 1 + 2) - c + 11*c - 2*c.\nAnswer: 141*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 3 + 5)*(-57 - 71 + 90)*(-2*i + 3*i - 2*i).\nAnswer: -152*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -147. Calculate the least common multiple of f and 4\/30 - (6 - (-1924)\/(-195)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 12*a. Let h(q) = -17*q. Determine h(k(i)).\nAnswer: -204*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**0\/m)**(-49)\/((m**(-2\/5)*m)\/m*m**2*m*m))**(-5\/11))**(1\/34) assuming m is positive.\nAnswer: m**(-227\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1125, -4496, -10117, -17994, -28133, -40540, -55221, -72182?\nAnswer: -91429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 124.051 + -124. Let m = 4.749 + z. Let w = 3.1 - m. Round w to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) - (sqrt(605) - (sqrt(605) + 0 + sqrt(605) + 0)))*6.\nAnswer: 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*r - 483 - 299, -589 = -3*u + r. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 + -1 - (173 + -153).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*b - 13 + 13)*(24 - 44 + 21)*(-1 + 1 + 2).\nAnswer: -18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101106, 101102, 101098, 101094, 101090?\nAnswer: 101086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + 3. Let g = -16 - -24. Calculate the highest common divisor of s and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171826577846.5 - -0.7\nAnswer: 171826577847.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -2 (b) 0.072 (c) -0.2 (d) 21\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1109328023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 + 0 - (17 - 20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-39)\/91) + (0 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/30125 and -17\/93250.\nAnswer: 22473250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 971 by -1228.\nAnswer: -971\/1228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*y**2 - 1428801*y + 1062960?\nAnswer: 10*y - 1428801","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -1 - 5. Suppose -w*b = -265 + 95. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = -3*w, -5*q + 7*w - 3*w - 10 = 0. What are the prime factors of 104 - (q - (-3 + 3))?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 69 - 78. Let m(y) = 23*y**2 + 68*y - 9. Let i(p) = 8*p**2 + 23*p - 3. Let c(x) = -17*i(x) + 6*m(x). What is the remainder when 18 is divided by c(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -11556008?\nAnswer: -11556006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -1. Let u = 5.831 - 8.831. What is the smallest value in u, 26, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 5511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 88 - 81. Suppose 0 = -2*k + w*k + 4*f - 708, -2 = -f. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = r + 51, -o + 0*r - 6 = 4*r. Is (-22976)\/(-288) + (-4)\/o a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2. Let r(t) = 2*t - 1257. Determine r(v(p)).\nAnswer: -2*p**2 - 1257","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - -9.8. Let v = 10.836 + -0.036. Let s = v - y. What is the third biggest value in -4, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c**4*c))\/c**(-1)*c*c\/(c*c\/c**7*c*c)*c*((c\/(c*c\/(c\/c**(6\/7))))\/c*c)\/c*(c**(-3\/2)*(c\/(c*c**(1\/3))*c)\/c)**27 assuming c is positive.\nAnswer: c**(-663\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 e when three letters picked without replacement from {q: 1, i: 3, u: 1, y: 5, e: 3, v: 6}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 865 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 209, 409, 601, 779, 937?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**3\/6 + 21698720*n**2\/3 + 235417224819200*n\/3 = 0.\nAnswer: -21698720, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0333966 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 9*l + 408. Suppose -9*t - l = -241. Is 5 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/4)*x*x**(2\/5)\/x)**15\/((x\/((x*x*x**0\/x)\/x*x))**(-14)*(x\/x**(-6))\/(x**7\/x*x)) assuming x is positive.\nAnswer: x**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2629 * 0.09\nAnswer: -236.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 25) + -976 + 1043?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1076\/7 greater than 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17087*d*g*o**3 + 3*d*g + 14*d*o**3 - 136*d*o + 10*d + 31*g*o**2 + 8*o - 4 with respect to g.\nAnswer: -17087*d*o**3 + 3*d + 31*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6739436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**3 - n**3 - n**3)*(-743*n + 1536 - 1536) to q + u*n**3 + i*n**4 + d*n + z*n**2 and give i.\nAnswer: 1486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 631*m - 597830*m**2 + 2*m**3 - m**4 + 1 + 597830*m**2 to the form g*m**2 + w + c*m + o*m**3 + j*m**4 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -757.1 * 0.1\nAnswer: -75.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6*(-12)\/72*4. Let k = -0.05 - -0.45. Which is the nearest to -2\/5? (a) k (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -325*z**4 - z**3 + 2*z**2 - 20863.\nAnswer: -1300*z**3 - 3*z**2 + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-6) - (-4)\/6. Let v = -1 + y. Let h = 54882 + -54884. Which is greater: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 312101 + 1101020?\nAnswer: 2013121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 258736*f**3*q**2 + 4*f**3 - f**2*q - 3329061*f*q**2 wrt f.\nAnswer: 1552416*q**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087.320503 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 - 9 = -m, c = 5*m - 11. Let k be (-2 + 73\/m)*70083. Let t = 915187 - k. What is t rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*q - 154 - 206 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*j - 126 = 0, -4*b + 6*b - 3*j - 85 = 0. Let n = -40 + b. Let i be 3\/(-27)*n + 2\/(-9). Solve i = 3*m - m - 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9088236019 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 367493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-142)\/12*3748\/34669 + 2\/(-37). Let p(y) = -y. Let j be p(-4). What is the closest to 0.1 in -4, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 2:58 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-321)\/(-21) + 4\/(-14). Let f be -2*6\/(-30)*-5. Let s be f*((-55)\/v + 4). What is the nearest to 2 in s, 2, -3\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -16*((-3)\/(-6) + -1). Factor l*j**2 - 5*j - 3*j + 10 - 4*j**3 - 8 + 2*j**2.\nAnswer: -2*(j - 1)**2*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -87 + 295\/4. Which is greater: c or -14?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - l + 2 + 2 - 3 + 4*l**2. Let d be g(1). Solve 3 + 0 = -d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) + 2*sqrt(36) - sqrt(36))\/sqrt(12) + sqrt(300) + 0 - (0 + sqrt(48) - sqrt(432)*-1))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -739 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317638.7km to meters.\nAnswer: 317638700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1. Let c(n) = -n - 3. Let o(z) = c(z) - 4*i(z). What is o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 24*p**2 - 21*p + 49. Let m be t(-23). Solve -b - y + 4 = m*b, 0 = b - 5*y - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, m: 1, p: 1, n: 1, s: 1, u: 2}. What is prob of sequence nmru?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -22, -48, -84, -130, -186, -252?\n\"Answer: -5*u**2 - u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*o = -15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**19\/(w*w*w**28*w))\/(w*w*w*w*w\/w**18)**2)**17 assuming w is positive.\nAnswer: w**238","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -88 + 0*m**2 - 5\/3*m**6 - 91\/3*m**3 + 0*m**4 + 1\/5*m**5 + 0*m. What is the third derivative of y(d) wrt d?\nAnswer: -600*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2386, -2421, -2478, -2557, -2658, -2781, -2926?\n\"Answer: -11*k**2 - 2*k - 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v + 1. Let m be o(1). Let l = 1\/1224 + 22439\/1224. Let d = l - 391\/21. Which is the nearest to d? (a) m (b) 1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15038 and -1381?\nAnswer: 13657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + f**2 + 2*f**2)*(0*f - 2*f + 0*f)*(0*f + 6*f - 2*f)*(-208 + 2085 + 2654) - 5*f**4 + 2*f**4 + 4*f**4 - f**2 + f**2 - 2*f**4.\nAnswer: 36247*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1 - 5) + (19 + -31 - 16).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*(3 + -13 - 218*57\/(-1235))?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004047 rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.67 + 0.7. Let h = 0.23 - k. Let v = -18\/23 - -105\/46. Which is the nearest to 2? (a) -1\/2 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -252*j**3 - j**2 + 2*j + 2. Suppose -4*a + 9 = -2*v + 3, -v + 4*a - 5 = 0. Is k(v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 604*b**3 - 26*b**2 + 13 wrt b.\nAnswer: 3624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*y + 77 = -1287*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3327 and 198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4\/3 - 14510*m**3\/3 + 53797213*m**2\/3 - 2810557980*m + 112556745612.\nAnswer: (m - 7174)**2*(m - 81)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -173, -333, -479, -605, -705, -773?\n\"Answer: i**3 + i**2 - 170*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 14. What is the units digit of (-122)\/n + (-15)\/(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 2. Let x be l(0). Let f(r) = -9*r - 4. What is the units digit of f(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2*p*y**2 + b**2*p*y - 17*b**2*p - 212*b*p*y + 6*p wrt y?\nAnswer: -4*b**2*p*y + b**2*p - 212*b*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.132 times -3?\nAnswer: 0.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.50621 millennia in months?\nAnswer: 606074.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 4*v**2 - 173*v + 449. Let x be j(41). Solve -8*y - x = 8*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p - 12. Is 24 a factor of o(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 177*c + 4 = 180*c, b + 3*c = 10 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 5*t - 81. Calculate b(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82 and 451?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144313984 - 57638622 = 508*n + 31961074. What is n rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/q**(-5)*q)*q*q*q**(-29\/3))**(-30))**(10\/9))**(-2\/29) assuming q is positive.\nAnswer: q**(-8200\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -2.1. Let a = 3 - 4. What is the nearest to a in -4, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1403423012 + 2?\nAnswer: -1403423010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n**2 - 4 + 23*n - 22*n - n**2. Let c(m) = 20*m**2 + 3*m - 20. Let k(q) = 22*a(q) - 4*c(q). What is the hundreds digit of k(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 11*u**2 + 17*u + 22. What is f(-9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 8*k. Let m(z) = 299*z**2 - 379*z + 8. Let v(h) = -102*h**2 + 126*h - 3. Let d(c) = 3*m(c) + 8*v(c). What is 2*d(y) + 33*r(y)?\nAnswer: -3*y**2 + 6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 136034?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21*k**2 + 24*k - 3. Let c(a) = a**3 + 62*a**2 + 73*a - 8. Let q(o) = -3*c(o) + 8*u(o). Factor q(j).\nAnswer: -3*j*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280 and 55720?\nAnswer: 55720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five sevenths of a week in hours?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g - g - 3*g**4 + (-2*g - g + 2*g)*(-g**2 + g**2 + 2*g**3) + 3*g**4 - 2*g**4 + 0*g**4.\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 442*n + 9858 = 0. Calculate n.\nAnswer: 31, 159\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8145313.\nAnswer: 11, 740483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000034874 rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141 - -382. Let w = i - 60. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132154076*u**4 - 600686524.\nAnswer: -528616304*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16.71 - -0.29. Let x = m - 17.00023. What is x rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92978463 to the power of 1\/3, to the nearest integer?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 + 44 - 108 - 994*f to l + k*f and give k.\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**6\/1080 - m**5\/360 + 2*m**3\/3 + 2*m. Let x(u) be the second derivative of f(u). Solve x(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101122201 (base 3) to base 5\nAnswer: 222033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18460 = -260*j + 187*j - 187*j for j.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k. Let f(w) = -w**2 - w + 1. Let q(h) = -h**3 + 4*h**2 + 10*h + 11. Let t be q(6). Let b = 1 + -2. Calculate b*y(p) + t*f(p).\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3200000)\/(-3 - (-35)\/10). Round h to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 6)*(10 + 64 + 100 + 2*u) as v*u + t and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -150277 by -1763.\nAnswer: 150277\/1763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 4*z**2 - 16*z - 2. What is the remainder when 83 is divided by v(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10*115\/(-92)*6\/20.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*o + 109. Let p = o + 28. Which is greater: -2\/31 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1586148 and 1752.\nAnswer: 231577608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5747611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(-1*sqrt(468) + 5 - sqrt(468)) - (-1 + (sqrt(468) - (-2 + sqrt(468))*1))) + 1)**2.\nAnswer: -120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -89.2, 6 in increasing order.\nAnswer: -89.2, -0.5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 21 = -m - 176, -5*i + m - 196 = 0. Let j be (-1)\/(-1 - i\/42) + -2. Calculate the greatest common factor of 30 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*a = -6424, -3*d + 19266 = 9*a - 6*a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 521830, 521835, 521840, 521845?\n\"Answer: 5*f + 521825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20931789?\nAnswer: 3, 31, 173, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 13. Suppose 6*j - l*j + 378 = 0. Calculate the remainder when 124 is divided by j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -582, -623, -662, -699, -734?\n\"Answer: l**2 - 44*l - 539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, l: 7, x: 1, c: 5}. What is prob of picking 1 c, 1 d, and 2 l?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -168297 and -167398 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 460\/161 + 3 + 18\/(-3). Let u = -0.5 + 3.5. Let z = u + 2. Which is the fourth smallest value? (a) 2 (b) z (c) n (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*x**4 - 418*x**2.\nAnswer: -456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**5\/20 - f**4\/6 + 7*f**3\/6 - 2*f**2 - 17*f - 55. Let n(z) be the first derivative of a(z). Factor n(c).\nAnswer: -(c - 1)**2*(c + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + (-228)\/44. Let k be p\/(-1) - (0 - 2). Suppose -k*v = -8*v. Solve 2*y + 2*y - 12 = v for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*r = -3*p + 2, -5*p + 10 = 3*r. Calculate the smallest common multiple of (3 - 4)\/((-3)\/30) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 26684.\nAnswer: -1\/6671","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by 14.\nAnswer: -296\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 145654 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 215266 = 215265?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 125\/(-20) - 0 - (-5 - (-13 - -3)). Let v be 2 + 1 + (-6 - -2). Which is bigger: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20304, -20310, -20316, -20322, -20328?\nAnswer: -20334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 8, a: 3}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.0037, -1\/58, 0.23, 4 in descending order.\nAnswer: 4, 0.23, -0.0037, -1\/58, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 17800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4346*h**6 - h**4 + 19*h**2 + 286?\nAnswer: -521520*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 1:16 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-1\/4)*q*q*q)**46)**20)**(-19\/4) assuming q is positive.\nAnswer: q**(-24035\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 2:44 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w**3\/5 - 17042862*w**2\/5 - 34085706*w\/5 - 3408570.\nAnswer: -6*(w + 1)**2*(w + 2840475)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1578804655911 - 1578804655911 - 13*p.\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 14*i**2 - 15*i - 3. Give s(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3204, -3203, -3202, -3201, -3200?\nAnswer: -3199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 2*v = -j - 49, 3*j = -5*v + 128. Let f = v + -28. Let r(h) = -45*h - 8. Is r(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 + 0 = 0, 5*i - 52 = 3*v. Let j = -13 - v. Let c(b) = 7*b**2 - 1. What is the lowest common multiple of j and c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13753355?\nAnswer: 5, 7, 11, 139, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a**2 + 250*a - 6016. Let k be x(-54). Solve -2\/7*d**2 - k + 32*d = 0 for d.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67.81 - -67.8. What is the closest to s in 2\/13, -4, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*g**2 + 2 - 7*g**2 - 3 + 0.\nAnswer: -94*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694811075?\nAnswer: 5, 7, 3970349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 254992348.5.\nAnswer: -254992348.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 10*o - 8. Let q be y(-8). Suppose 2*w - q = -0*w. Suppose 0 = -3*s + w*s - 28. What is the remainder when s is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + n - 1. Let g(x) = -65*x**2 - 6*x + 21. Let c(u) = -g(u) - 6*t(u). What is the first derivative of c(h) wrt h?\nAnswer: 118*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19261 + 0.2.\nAnswer: 19261.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 226106417?\nAnswer: 29, 601, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -520234 + 2022?\nAnswer: -514212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 6*h - 11*h. Let t(z) = z**3 - z + 13. Give t(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/20 - 0)\/(3\/36). Let x(d) = 2*d + 4. Let a(w) = 8*w + 15. Let b(o) = m*x(o) + 2*a(o). Calculate b(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.415 * -0.5.\nAnswer: 34.2075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 (base 10) in base 7?\nAnswer: -261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-7 + 1 - (-10 + 15 - -1))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 6:41 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -503 + 9553\/19. Let m = y - -27\/38. What is the smallest value in m, 1\/5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 28 = -2*i, 2*i - l - 3 = -0*l. Suppose i*u - 3921 = 2479. What is u rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 256 = 144. Suppose 8*z = 12*z - q. Let u(o) = 10 - 3*o + 9 - z. What is u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4907 + 33756 = 4*t - 5*n, 2*t + 2*n = 19354. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1.9 * 1.01\nAnswer: 1.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182694 is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.29.\nAnswer: -0.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 2 + 2. Let k be (-67 - -1)\/(-3) + q. Suppose 4 = 2*a, 5*a - 97 = -4*m - k. Calculate the highest common divisor of m and 96.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 234\/5 - 47. Suppose -i + 0 = 5*v + 1, 5*v - 5*i - 5 = 0. Suppose v = s - 3 + 4. Sort y, -4, s in decreasing order.\nAnswer: y, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*d - 105*d - 94*d - 7068 = 13476 for d.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by -3\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 AM and 2:02 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 66215 and 2176.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/3 + 70105*n**2\/3 - 1228572592*n\/3 - 1228782916.\nAnswer: -(n - 35054)**2*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -6*q**3 + 2*q - 1. Let l be b(1). Let s = -2 + -1. Let n = s - l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*f**4\/3 - 4096*f**3\/3 - 20708*f**2 - 74808*f = 0. Calculate f.\nAnswer: -9, -6, 0, 1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, a: 1, p: 2, n: 4}. What is prob of sequence tt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (22902\/57255)\/(1\/(-90))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 505, 502, 497, 490, 481, 470, 457?\n\"Answer: -m**2 + 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + m**2 + 0*m**2)*(-22*m**2 + 41*m**2 - 5*m**2).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + a - 7. Let i be h(3). What is the third derivative of -1105*u**i + u**6 + 5*u**2 + 1105*u**5 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 16, -10 in descending order.\nAnswer: 16, 8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 32915.73cm?\nAnswer: 329157300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-8))\/(1\/(-2)). Suppose -4*g + 5*d + 218 = 0, 3*d + 14 = 3*g - 151. Let y = 284\/5 - g. Which is the smallest value? (a) y (b) i (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13768826.95 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -x + 553. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 98?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -1)\/((-2)\/(-2)). Suppose -b + u*b = 0. Let t = 1 - -18. Solve b*s - l = 3*s + t, 0 = s - l + 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*f + 164 + 124 = -322 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 441421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a week in minutes?\nAnswer: 27720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 6:17 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/6 + 70\/21. Let o(a) be the second derivative of 1\/6*a**k + 0 - 1\/2*a**2 + a. Differentiate o(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 3031. Let f be k(0). Let w = f - 18091\/6. Find the common denominator of w and 25\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*c - 466*c + 176*c.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/11 and 5\/13948.\nAnswer: 13948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1892289 divided by 1077?\nAnswer: -1757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-12)\/(-4) + -32)*-1. Suppose -y = 9 - d. Calculate the least common multiple of 27 and y.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvchhc. What is prob of sequence vhy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + 0.37. Let f = 12 + -12.1. Which is the nearest to f? (a) m (b) -0.3 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 0*c = -329. What is the remainder when c is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 + 7236102*h + 4363431012867 = 0.\nAnswer: -1206017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3944600 a multiple of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -3 + (3 - -14) + -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -c + 19448, 3*i - 3346 + 22787 = c. List the prime factors of c.\nAnswer: 2, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7 - 470*a + 253*a - 54 + 212*a. Calculate z(-15).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1533, 1811, 2089, 2367, 2645?\nAnswer: 2923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g)**(2\/35)\/((g\/(g\/(g*g\/g**0)*g))\/(g*g\/g**(2\/3))) assuming g is positive.\nAnswer: g**(55\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114)*2 + sqrt(114))*4)\/(sqrt(6) + sqrt(150) + sqrt(150)*2 + sqrt(150) + sqrt(150)).\nAnswer: 6*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87064722 plus 726.56?\nAnswer: -87063995.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2561 - 2531*k + 1105*k - 2003*k + 604 - 750*k with respect to k.\nAnswer: -4179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 4:58 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -156\/7, 2, 5, -0.2 in descending order.\nAnswer: 5, 2, 2\/5, -0.2, -156\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v**3 - 4*v**2 - 336*v - 65. What is h(0)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-304)\/(-40) + -7)\/((-18)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.157 in 10\/11, -9, -1\/4, -11, 0.1, -0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -598, -2\/23, 3 in decreasing order.\nAnswer: 3, 0, -2\/23, -598","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*k + 25, k - 25 = -0*k + 5*n. Solve k = 2*s - 2 + 10 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -6*f + 5*f + 0*f. Let c(j) = 3*j - 5. Let b(u) = 15*u - 24. Let i(g) = -5*b(g) + 24*c(g). Determine i(t) - 5*v(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004286 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295577*v**4 + 1423*v**2 + 610*v.\nAnswer: -7093848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 6*d**2 - 7*d - 5. Let g be a(-5). Suppose -89 - 1 = -g*x. Suppose 0*t = -3*t + 108. What is the highest common divisor of t and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 135, 138, 141, 144?\n\"Answer: 3*z + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9705 + 9705. Put 0.2, -5, 0.012, h in descending order.\nAnswer: 0.2, 0.012, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1 + 6 - (0 + -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*u**4 - 892 with respect to u.\nAnswer: -320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 431, 423, 413, 401, 387?\nAnswer: 371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70841209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s\/s**2*s)*s*s\/s**(-15)*s*(s\/s**(-2))**(1\/14) assuming s is positive.\nAnswer: s**(255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7559 + -7557.4. Put -0.07, 2, 1\/3, -5, u in increasing order.\nAnswer: -5, -0.07, 1\/3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 19 = c - 37, -f = -5*c + 268. Calculate the smallest common multiple of c and 14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1737 = -47*y + 185*y + 219 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnnnnnnwnnnnn. What is prob of picking 1 w and 2 n?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20\/4 - 3)\/(4\/16). What is the highest common factor of l and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-8) - (-2)\/(-8). Suppose h - 3 - 4 = 2*v, 2*h + 5*v = 50. Suppose m = x*p - 38, -p = -4*p - 2*m + h. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (542 - 538) + (-1 - 11)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 + 2*f + 201. Determine o(0).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**(-3\/2)*d)\/d)*d**(2\/7)*d**(-2\/7)\/d**(-10) assuming d is positive.\nAnswer: d**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 39645354 to the power of 1\/3, to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -95c765 (base 13) to base 2.\nAnswer: -1101011001011100001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6452371*g**5 + 4012582*g**2?\nAnswer: 387142260*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 3153.\nAnswer: -7, -3, 3153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t**4 + 644 + 4*t**3 + 2*t**2 + t - 3*t**4 - 6*t**3 - 694 as n*t + h*t**3 + u*t**4 + v + w*t**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 4 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -45. Let o be (-4 - (-2 + u)) + 0. Suppose 0*m - o*m - 276 = -3*b, -2*m = 2*b - 174. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 13 = -2*u, -a + 1 = -0*a + u. Suppose -a*k = 20, 4*l - 2*k - 5 = 3. Suppose l = 4*y - 6 - 10. Solve -5*v + 4*w = y, v + 2*w = -w + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001363 rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 3*r + 7. What is j(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 2 = 2*c. Let r(s) = s**2 - 6*s + 3. Calculate r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5756, 10171, 17528, 27827, 41068, 57251?\n\"Answer: 1471*h**2 + 2*h + 4283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2347 + 242?\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q**3 + 5\/8*q**4 + 2 + 0*q - 32*q**2. Let c(v) = 3*v**2. What is h(c(f))?\nAnswer: 45*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -254032930 >= -254032934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 + 43. Suppose l*v - j - 7 = 11, 4*v + j - 18 = 0. What is the lowest common multiple of v and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674586108 to the power of 1\/2, to the nearest integer?\nAnswer: 40922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3759, -3792, -3799, -3768, -3687, -3544, -3327?\nAnswer: -3024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 916315493 to the power of 1\/2, to the nearest integer?\nAnswer: 30271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7197 is divided by 1437?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 4, 2*b + 5*u = -0*u + 28 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9502 + -95099\/10. Let a = -16 + 43. What is the common denominator of 6\/(-28)*(-3 + a) and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112110210212 (base 3) in base 14?\nAnswer: 75b80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 8*x - 30. Let m be n(11). Differentiate 8*t**3 + 40 - 6*t**3 + 3*t**m + 5*t**3 with respect to t.\nAnswer: 30*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 + 7*f**3\/3 - 3*f**2\/2 + 23*f - 6. Let d be k(7). Solve -8\/7*i + 6\/7 + 2\/7*i**d = 0 for i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 15 = -3*z, 6*z - 3*z = -4*u + 39. Does 57 divide (-3)\/9 - ((-1056)\/z + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o = -4*o + 12 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -0.3, -128931?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1811796849?\nAnswer: 3, 67103587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m + 24. Let l be p(5). Suppose s = l*s - 3. Let x = 3\/230 - -1023\/920. Is x at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 8. Let y be ((-2)\/4)\/(9\/f). Let w be 0\/((12 + -4)\/4). Sort w, y, 3.\nAnswer: w, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 1:33 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrffrrrrr. Give prob of picking 2 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 101381776 and 3082554?\nAnswer: 912435984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 28 = -2*b, 28 = 4*s + 5*b - b. Suppose -s*c + 94 = -179. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 7 - (70 + -60)) + 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 126 = 26*l. Suppose -l*p = -14*p + 1869. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 14. Suppose 4*b = -4*u + 24, 3 + 12 = m*u - 5*b. Solve 5*v = -7*w + 6*w - 5, -3*v = w + u for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60\/(-56)*-1 + 87\/(-58).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -4. Let t = -3 + -3. Let k = t - c. What is the second biggest value in k, -5, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31515 + -31507. Calculate the least common multiple of 6070 and u.\nAnswer: 24280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 3*r + 4*r)*(6 - 14 - 13)*(-8*r + 9*r + 4*r).\nAnswer: -210*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w - 7*w + 0*w + w in the form t*w + q and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -0.3 (c) -3 (d) -7 (e) -1597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -7*l + 27. Let x be (l + 1 - 2)*(-14)\/(-3). What is the greatest common factor of x and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3245 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * 1720.\nAnswer: -10320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1430835?\nAnswer: 3, 5, 7, 13627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -441 - -621. Let k = 166.1 - l. What is k rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 19*u = -22320. Is u a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -444) + 3\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 7*s + 0 - 17*s + 8. Let u be (-4)\/(-14) + 4\/(-14). Let k(b) = u + 4 - 3 - b. Determine -a(c) + 8*k(c).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - 15. Let l = 33 + q. Is (-216 + 4)*(-1)\/(3 + l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -179.6 + 180. Put 2\/141, j, -2\/3 in decreasing order.\nAnswer: j, 2\/141, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(3*p**4 - 2*p**4 - 3*p**4) - 3 + 2*p**4 + 3 + (2*p**2 + 3*p**3 + 455*p - 455*p)*(-p - p + p).\nAnswer: 3*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 5 = 0. Suppose -2*z - 12 = v + 3*v, 4*v + 12 = -3*z. Suppose 4*f + d + z = -3*q, -3*f = -3*q - 15. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 11:46 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*x**4 + 40*x**2 - 532 with respect to x.\nAnswer: 16*x**3 + 80*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 12:45 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 8, 4, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 1. Let b(v) = -2*v**3 + 4*v**2 + 3. Let s = 21 - 55. Let f = -35 - s. Give f*b(a) + 4*i(a).\nAnswer: 2*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 21*r + 5*r + 2. Let u(z) = -10*z + 1. Determine 3*i(k) - 4*u(k).\nAnswer: 7*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -545944*p**3 + 203973*p**2?\nAnswer: -3275664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 7*u + u)*(3179*u - 7604*u + 4 - 9265*u - 7*u - 4).\nAnswer: -68485*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**4 - 80*h**3 - 172*h**2 - 88*h.\nAnswer: 4*h*(h - 22)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*(sqrt(288)*2 - sqrt(288))*-2*-2.\nAnswer: -144*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 - 60*r + 25. Calculate the smallest common multiple of o(30) and 45.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -18, 656, 3, -40 in decreasing order.\nAnswer: 656, 3, -5, -18, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 426 = -2*f, -9*w + 5*w = -4*f - 420. Suppose -w*r - 86 = -110*r. Calculate the highest common factor of r and 559.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/1)\/(-6))\/(306\/1530)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 320 and 2752.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5*b + 187 = 0, 3*v + v - 189 = -3*b. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + y**2 - 3. Let z(l) = 6*l**3 - 24*l**2 + 18. What is 6*h(t) + z(t)?\nAnswer: 12*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11184888 and 3300.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(539)*3)*-2.\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 716.\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) -1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 89*p - 86*p = 777, -5*k - 5*p + 640 = 0. Calculate the remainder when k is divided by (-3)\/(19\/22 + -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2183 - -2182. Which is smaller: 3\/4853 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 47. Let z(l) = l. Let i(a) = -f(a) - 4*z(a). What is the remainder when i(0) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (-1 - (5 + -5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/666 and 42\/149.\nAnswer: 99234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a century in years?\nAnswer: 1480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4838 + -2843. Is 57 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 122, 117, 112?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 306 + 3?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 40 + 24 = 0. Let k(w) = -18*w**2 - 44 + 19*w**b - 63 - 8. Let p(i) = 2*i**2. What is p(k(q))?\nAnswer: 2*q**4 - 460*q**2 + 26450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/7 - 4\/14. Let w be (-7)\/((-28)\/(-8)) + r. Suppose 2*h = -4*u + h + 21, 2*h - 10 = w. Calculate the highest common divisor of u and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -309 + 340. Suppose -22*g + 18198000 = -q*g. Round g to the nearest one hundred thousand.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/8337259 and 19\/38253306.\nAnswer: 650306202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -2.8. Let i = 0.3 + 0.2. Let g be ((-9)\/12)\/(33\/(-8)). Which is the second biggest value? (a) i (b) f (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1366*t + 35282 = -234 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 17*a**2 + 31*a - 13. Let z be n(2). Let o(l) = -6*l - 20. Determine o(z).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/11484 and 109\/1566?\nAnswer: 34452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((41\/(6560\/128))\/((-8)\/(-6)))\/((-9801)\/(-110)).\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -4, 20, -5, 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -426512652.\nAnswer: 426512654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 7:09 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000062 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z + 11951 - 12055 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -37*v - 13. Suppose -2*g - 734 = -4*g. Suppose 0 = -5*p + 5, 0 = 4*t + p - 2*p - g. Calculate the remainder when t is divided by x(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - 4*sqrt(175)*4 - (-5 + 4 + sqrt(175) + sqrt(175) + sqrt(175)))**2 + ((sqrt(175) + 1 - sqrt(175))*-3)**2 + sqrt(175) + sqrt(175) + -4 + 2.\nAnswer: -170*sqrt(7) + 56708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69682?\nAnswer: 2, 34841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/5 and -18\/41?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from dcdqs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 350 + -354. What is the fourth smallest value in m, 1, 8, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = 2*d - w, 0 = 3*d + 2*d - 5*w - 965. Suppose -29 = -8*k + d. Is 14 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 504 - 518 = -2*n, -5*q + 38 = 2*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -566202 + 0?\nAnswer: -566202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11204 - 10988. What is the highest common divisor of 135 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 553647?\nAnswer: 3, 179, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 0, 29 in decreasing order.\nAnswer: 29, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 - -3.91. Let m = 1.9 - 2. Let a be 3\/(-119) + (-11)\/(-77). Sort a, m, x in descending order.\nAnswer: x, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1901? (a) -1 (b) -1\/12104 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20333546?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-106)\/5088)\/((-25)\/(-30)).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 7*x**2 + 11*x**2 + 2*x**2 in the form r + c*x + u*x**2 and give u.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + -1db63d?\nAnswer: -1db64c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (-6)\/(24\/28). Let g(i) = i**2 - 5*i - 3. Let p be g(6). Differentiate 6 + 0*z - 2 + t + p*z with respect to z.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52\/5 of a microgram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 5*h = -0*h - 17375, -3*g - 10421 = -2*h. Let y = 76413\/22 + g. Calculate the common denominator of -2 - -8 - 87\/6 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 + -20 + (0 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.667 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84388 and 75044.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + h + 3*y + 12 = -3*h + 1, -h - 1 = y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18145 - -18189. Suppose 0 = -5*w + 2*w. Calculate the remainder when a is divided by 15 + 0\/(1 - w).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -37*y. Let s(z) = -z**2 + z. Let t(o) = -r(o) - 37*s(o). Let m(h) = 3023*h - 5*h**2 - 3023*h + 2*h**2. Give t(m(f)).\nAnswer: 333*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728) + sqrt(27))\/(sqrt(9) + (sqrt(144) - 1*sqrt(144)) + sqrt(144)) + -3 + ((3*sqrt(384))\/(sqrt(2) - (sqrt(50) - sqrt(150)\/sqrt(3))))**2.\nAnswer: -3*sqrt(3) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4480 - 4257. List the prime factors of a.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30310 (base 4) to base 15\nAnswer: -39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30633 - 7696. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3934304l in millilitres?\nAnswer: 393.4304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2632)\/141)\/(-8))\/((-14)\/(-54))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -323540046823\nAnswer: 323540046821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:02 PM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 41. Let b(g) = 2*g**2 - 9*g + 13. Let w be b(4). Let f be x(w). Suppose 4*c + 2 = -6. Put 2, c, f in descending order.\nAnswer: 2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of 1\/3*d**3 + 0*d - 1\/1620*d**6 + 2*d**2 - 1\/270*d**5 - 1\/108*d**4 + 0. Let r(h) be the first derivative of b(h). Factor r(c).\nAnswer: -2*(c + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 9.16. Let i = r + 0.36. Which is the second smallest value? (a) 0.3 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -11*x**5\/10 + x**3\/6 + x**2\/2 + 3*x. What are the prime factors of q(-1)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 11 + -2 - (1 + -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 - -13. Which is the closest to -1? (a) -0.2 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2414 by 1207.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*u = -2*d, -4*u = 12. Let b = -33 - -3. Let g be 5*8\/b*d. What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82145837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*f - 5*f - 8*f - 19*f as c*f + l and give c.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -5. Suppose 6*b - 2*b - s = 0. Suppose b = m + m. Solve 0*l + m*l + 16 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2682 and 66454.\nAnswer: 598086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 77696227 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 760662750 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2210 = -71*c + 3*i, i - 55 - 41 = 3*c - 0 for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21788 - 21784.7052. Round s to one dp.\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -57? (a) -0.5 (b) -0.2 (c) 1\/3 (d) -5\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*-1*(-3 + 4). Let o = 0 - 5. Let a = -826 - -823. Sort p, a, o.\nAnswer: o, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3386.8 + -1760.4. What is r rounded to the nearest ten?\nAnswer: 1630","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 - h**4\/3 + h**3\/2 - 3*h**2\/2 + 139*h. Give s(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1123.784 decades?\nAnswer: 112.3784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7))**(7\/4) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/60*4)\/((-4)\/(-12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 484?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -9*t**2 + 3*t - 90. Let h be n(10). Round h to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15234.54 + -15791. Let b = -543 - q. Let k = b + -12. Round k to one dp.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1088) - (1*sqrt(1088) + sqrt(1088))).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 46 = 5*c, -13*c - 71 = -4*k - 16*c. Let g(l) = -4*l - 5. Let j(s) = -11*s - 14. What is k*g(r) - 6*j(r)?\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/29488 and 71\/16.\nAnswer: 29488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(2*q + q + 0*q)*(-2 + 6 + 0) + 3*q - 4*q + 3*q + (0 + 1 - 2)*(q - 2*q + 2*q).\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bdpb when four letters picked without replacement from {p: 1, b: 2, d: 1, l: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*p + 16*p. Solve -4 = 4*s - p*r, -3 - 1 = r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4cab8 (base 14) in base 9?\nAnswer: -316772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -450010 + 450892. Suppose -42*k - r - 1\/2*k**2 = 0. Calculate k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15470 and 15589?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1426 + -1425.9. Is c greater than 1974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 34 = -10. What is the common denominator of -27\/10 and ((-1)\/15)\/(r\/(-1460))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -535, -1067, -1599, -2131, -2663?\n\"Answer: -532*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence honh when four letters picked without replacement from ooohhohhnoohho?\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**3 + 7*y**3 + y**3)*(767 + 42*y - 767).\nAnswer: 168*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*p = -2681 - 44246, 0 = 5*p + 30. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15102646152318 + -0.4\nAnswer: 15102646152317.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**2 + 11*t + 17. Let n(q) = -q**2 - q - 5. Let s(p) = b(p) + 4*n(p). Suppose -11 = 4*l - 35. Give s(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 22, -186, -86, -4.\nAnswer: -186, -86, -4, -2, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*r - r - 3*r)*(0 - 4 + 6)*(-10*r - r - 2*r)*(6 - 72 - 2) to the form j*r**2 + a*r + b and give j.\nAnswer: -3536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 137?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8369 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 567 = 61*x + 455 - 681 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/803?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623507 is divided by 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 228c1 + -9ba?\nAnswer: 21e06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.8, -2\/13, 0.07.\nAnswer: -2, -0.8, -2\/13, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39015 > 39011?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 1100001111?\nAnswer: 1011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 + 5*w**2 + 12*w + 2500. What is the hundreds digit of n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31276 - 4084 = 183*a + 497*a for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2400709191.\nAnswer: 3, 10253, 78049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) -0.2 (c) 7 (d) -0.19 (e) 18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*u**2 - 7*a**3 - 3985*a*u**4 - 3684*u wrt u.\nAnswer: 4*a**3 - 47820*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 5*n - 10. Let w be u(-2). Solve -w*h + 12 = 4*k, -h = k + 3*h - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + -96 - 5\/1. Let v = 113 + p. Suppose 2*o - v = 0, 0 = -5*f - 4*o - o + 40. Solve 20 = f*g + g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10724686 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1. Let z(n) = -4*n + 6. Give 6*b(o) + z(o).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/3 of a week?\nAnswer: 224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*y + 32*y - 4. Let b be 24\/(-18)*3\/y. Solve b*o = -3*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23360 and 120?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a\/(a**1\/a)))**7\/(a**(-3\/22)\/a**(-5\/6)) assuming a is positive.\nAnswer: a**(208\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -906 - -918. Calculate the greatest common divisor of l and 6048.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13005 and 5865.\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 + 413. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*i = 1705705 + 1736615. Is i a multiple of 135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**5\/10 + 23*p**4\/30 - 9*p**3\/5 + 9*p**2\/5 - 28*p - 38. Let s(h) be the first derivative of r(h). Factor s(q).\nAnswer: -2*(q - 3)*(q - 1)*(5*q - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3154 = -0*c. Let y = 43795\/13 - 642479\/130. Let k = c - y. Find the common denominator of -34\/11 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -446450 or -446455?\nAnswer: -446450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/78 and -157\/17688.\nAnswer: 229944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-3 - -6) + 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 87 - 83. Suppose -4*g + 0*o + 3*o = -86, -t*o = -g + 28. Suppose -300 = 16*d - g*d. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*x - 7*x + 2*x)*(1 - 5 + 6) - 2*x + 1 - 3 + 7*x as y + n*x and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5534.334mg?\nAnswer: 0.005534334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:16 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of 0*s**2 - 155 + 2\/25*s**5 + 2\/5*s**3 + 0*s - 2\/5*s**4. Solve v(c) = 0 for c.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.23 + -0.53. Let n = -0.8 - d. Let i be (-4)\/14 - 4\/(-63). Which is the nearest to 0? (a) i (b) 1\/10 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = 1586444*d - 1586440*d - w, d + 4*w = 3 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -33 and 28?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1513, -1634, -1959, -2590, -3629?\nAnswer: -5178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - 4. What is r(-2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, 55, -1708.\nAnswer: -1708, -4, 1, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = v + 3*w, 4*v = 3*v - 4*w + 28. Does 4 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 3*h. Let u(n) = n**2 + n. Suppose 6*v + 32 = -2*k + 10*v, -8 = -4*v. Calculate k*u(s) - 4*q(s).\nAnswer: -16*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -4, 16 in decreasing order.\nAnswer: 95, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134 is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-1)\/(-3 - -2). Suppose -2*w + 3*k - 27 = 0, -1 = w - 5*k + 2. Let s be ((-3)\/6)\/(3\/w). Solve a + y + s = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -24, 5, -5, -3 in descending order.\nAnswer: 5, 4, 0, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 21 = -5*t, 3*u + 2 = 14. Let q = -7 - -4. Let z be 5 - (1 - (q - t)). Calculate the highest common factor of z and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccxxctcfttxc. What is prob of sequence tc?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/90 and (-12)\/10*(-2)\/(-40)?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29611*d**5*u - 11*d**2*u - 41*d*u - 2*d + 7*u + 288 wrt d?\nAnswer: 592220*d**3*u - 22*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-34)\/z*z**(-2\/17)*(z*z**6\/z)**(-33) assuming z is positive.\nAnswer: z**(-3963\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 77. Suppose -2*z - 3*z + 5*t = 20, t - n = -5*z. Sort 0.01, -3\/5, z in ascending order.\nAnswer: -3\/5, 0.01, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g**3 + 2*g**2 - 2*g + 1. Let n be o(1). Let j = -85 - -97. Suppose -m + 3 - n = -t, j = 3*t + 3*m. Solve 0 = 4*c + 3*a - 8, -t*a + 12 = -2*a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -656, -793, -920, -1031, -1120?\n\"Answer: g**3 - g**2 - 141*g - 515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = -14, -4*g = -5*d - 106. What is the remainder when 45 is divided by g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150411179?\nAnswer: 37, 149, 27283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 283805871 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.019? (a) -40 (b) -0.03 (c) 0.682 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**3 - 23*x**2 - 87*x + 108. Determine p(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -8*o**3 + 49. Let j(b) = -4*b. What is j(d(t))?\nAnswer: 96*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.23 (c) -5 (d) 5 (e) 4 (f) 1\/103\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 1 + 9 + 1. Give c(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-21)*21\/(-6). Which is the smallest value? (a) -10 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/20*(-175)\/(-50)*6\/147?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4568, -4586, -4620, -4676, -4760?\n\"Answer: -b**3 - 2*b**2 - 5*b - 4560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25152, 25137, 25098, 25023, 24900, 24717, 24462, 24123?\nAnswer: 23688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -276 + -5?\nAnswer: -27b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**2 - 8*f - 4. Suppose 1 = l - 0. Suppose 12*r - 5*v - 7 = 14*r, 0 = 5*r + 2*v - 35. Let j(g) = r + 6 + 0 + g - 14. Calculate l*y(p) + 6*j(p).\nAnswer: -2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -3\/5*i**3 - 3\/10*i**2 + 3 + 0*i - 3\/25*i**5 - 9\/20*i**4. Solve l(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1. Let k(v) = 2 + 0 - 5 + 56*v**2 - 54*v**2. Let n be (-18)\/(-14) - (-8)\/(-28). Give n*k(a) + 3*x(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3*n**5 - 45*n + 6*n**3 + 9*n**4 + 45*n = 0?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99767?\nAnswer: 99767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 116 - 115.9999951. Round l to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34636 by -1900.\nAnswer: -8659\/475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5191*p - 192084. Give q(-37).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 3:50 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024309514 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f**2 + 3*f - 3. Let m(g) = g**2 - g - 1. Let j(s) = 4*m(s) - p(s). Calculate the remainder when 57 is divided by j(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 6408*u**2 - 6840948*u - 13656240.\nAnswer: 3*(u - 2918)*(u + 2)*(u + 780)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 1. Suppose 3 = -b*z + 3*z. Let x(n) = 5*n - 2*n - 2*n**2 - z*n. Let a(t) = 3*t. Calculate a(x(v)).\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-107)\/4 - (5 - (-76)\/(-16)). Let q = -23 - l. Let s be 14*-4*(-8)\/16. Calculate the highest common factor of q and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r. Let y(u) = u. Let i(t) = -x(t) - 3*y(t). Let g be 1\/((-1)\/(-1))*1. Is 5 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.58507612 - 1.\nAnswer: 9.58507612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 118 + 125 + 123 - 23*j - 369. Determine o(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.46 - 0.06. Let a = 8722 - 8708. What is the nearest to -1\/4 in -5, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1134 - 0.0834. Let c = 3 - i. Round c to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w - 2)*(4*w + 6 - 6).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/8 and 51\/457778.\nAnswer: 1831112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833026080?\nAnswer: 2, 3, 5, 307, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4760 and -43\/7480.\nAnswer: 52360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*w - 300 = -30*w + 348. Sort 0, 10, w, -13.\nAnswer: -13, 0, w, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*f = -119*f + 84 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11594925 to the power of 1\/2, to the nearest integer?\nAnswer: 3405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807792673 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 + -395 - (61 - -1) - (6 - 5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 13*i - 1012. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.0918552 nanoseconds to days.\nAnswer: 0.00000000000017467425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 2*v - 1\/6*v**3 + 23\/2*v**2 + 0. Is 9 a factor of i(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12295, -12282, -12269, -12256, -12243, -12230?\n\"Answer: 13*w - 12308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**3 + 9*h + 9. Let y be t(-1). Suppose o + 3*u - 1022 = 0, 0 = 2*o + y*u - 0*u - 2029. Is o a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -119 (c) -1 (d) 76\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 - 4*o**2 + 3*o**2)*(o + 0*o + o) + 0*o**3 + o**3 + o**3 - 2201*o**3 + 4114*o**3 + 1 - 2275*o**3 to x*o + d*o**3 + b*o**2 + v and give d.\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 7\/12*o**4 - 7*o**2 - 14*o + 0 + 0*o**3. Differentiate u(p) with respect to p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 11*m - 3*t - 11, -24 = -4*m + 2*t. Solve 0 = -m*a - l - 3, 5*l = 2*a - 15 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17665961623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Let c(v) = -2 - v**3 + 5*v**2 + a - 4*v + 0. Let b be c(4). What is the highest common factor of b and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/63*7\/21\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 16*y**2 + 29*y + 194. Determine p(-17).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -449, -450, -455, -464?\n\"Answer: -2*x**2 + 5*x - 452","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11901228792 + 11901228822.499997315. Let v = i - 30.5. Round v to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3182973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5.83 (b) 0.5 (c) 321\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -354333358 take away 36?\nAnswer: -354333394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 3*l + 2. Let d be 2 - 1*(2 + 2). Let w(s) = s**3 + s**2 - s. Let z(f) = d*r(f) + 4*w(f). Factor z(i).\nAnswer: -2*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 312.36 - 312.3. Let n = -2.5 - -2. Which is the biggest value? (a) q (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -100*b. Let f(u) = 23*u**2 + u + 930. Determine w(f(g)).\nAnswer: -2300*g**2 - 100*g - 93000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5, 0 = -2*p + 2*h - 45 - 1927. Let b = 985 + p. Solve 4*m = -2*s + 6, -s - 2*s + b*m - 11 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8 and -742.372.\nAnswer: 5938.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -783251 or -783245?\nAnswer: -783251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 86\/301 - 52\/(-14). Suppose m*u = -2*q + 88, -5*q - 8*u + 241 = -5*u. Calculate the least common multiple of q and 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 9:34 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 0*u**2 + 0*u**4 + 0*u**4 + 6*u - 2*u**2 + 3*u**2 + u**4 - u**3 in the form k*u + z*u**4 + h*u**3 + a*u**2 + t and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -74 + 445\/6. Let s = 433 + -437. Which is the second biggest value? (a) s (b) j (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 298? (a) -2 (b) 2 (c) -5 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-100983)\/31939 - ((-4)\/82)\/(-1).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/2103712 and 9\/104?\nAnswer: 2103712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/238121955?\nAnswer: -1\/238121955","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -6*r. Let k(j) = j. Determine k(p(u)).\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -220168, -440336, -660504?\nAnswer: -880672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1481913070.\nAnswer: 2, 5, 11, 659, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -3*k + 26, -5*k - 3*u = -2 + 4 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6336)\/(-6960))\/66)\/(((-30)\/25)\/(-6))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1036664664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (6 + 9 + -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - (-10 + 3) - -13) + -7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of w**5\/60 + 11*w**4\/24 - 5*w**3\/3 - 17*w**2. Let s be h(-12). Solve s*d = d + 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3\/5, -9, 0.64, 1841 in decreasing order.\nAnswer: 1841, 0.64, 3\/5, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/(-4))\/11*91\/(5096\/700).\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -68498*a - 9. Let h(o) = -o**3 - 7*o**2 - 5*o + 4. Let c be h(-6). Let d be g(c). Suppose -3*q + d + 27413 = 0. Round q to the nearest one thousand.\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -715*z + 732*z - 55, g - 17 = -12*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 43*y + 518. Let k be q(-12). Suppose 0 = -k*x - 8*x. Factor 0*h + 4\/5*h**2 + 2*h**4 + x + 14\/5*h**3.\nAnswer: 2*h**2*(h + 1)*(5*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-9*4)*3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5b04c4 (base 13) to base 3.\nAnswer: 11002022200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 10831482.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*n + 30 + 15 - 42 to t*n + h and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1064, 9, -3 in decreasing order.\nAnswer: 9, -3, -1064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 + 173*p**2 - 72*p + 1790. Give j(86).\nAnswer: 2994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 - -38. Suppose -i + w = -5*o - 0, 4*i - 102 = -o. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4608 = 2*w, 0 = -5*w + 3*q + 2952 + 8564. Suppose 1852 = 4*y + i, 2*y + 2*i + w = 7*y. Let u = -211 + y. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 6*t - 5. Determine l(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:52 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 1974495403.\nAnswer: 1974495403.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12561 - -34627. Suppose 27*l = w + 6959. List the prime factors of l.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2. Let q(n) = -100*n - 1. What is t(q(g))?\nAnswer: -10000*g**2 - 200*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + 51\/(-30)*-10. Solve q*k + 65 = 34*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -158, -155, -152?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -17.9. Let t = 0.9 - f. Let s = 0.2 + t. Sort -2\/7, 4, s.\nAnswer: -2\/7, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -38*r**2 + 297*r. Let j(x) = 78*x**2 - 592*x. Let m(n) = 3*j(n) + 5*z(n). What is the second derivative of m(l) wrt l?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000475 days in microseconds?\nAnswer: 41040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.83009142 to 3 dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4317 + 19969. Does 9 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493082.\nAnswer: 2, 101, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 199289 - -76210. Let s = 275693.919 - d. Let v = 195 - s. Round v to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767980 is divided by 4097.\nAnswer: 1841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 16\/9*i**2 + 2\/9*i**4 - 8\/9*i - 10\/9*i**3 + 0 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18916 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 103187563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247889 or 245847?\nAnswer: 245847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = i + 2*i. Suppose 3*g + 4*k = 26, -g + 102*k - 103*k = -9. Solve 4*y = -i - g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -51. What is the closest to 7 in -0.2, 3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 70? (a) -7 (b) 3 (c) -0.134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5\/2 + 619*k**4 + 1237*k**3\/2.\nAnswer: k**3*(k + 1)*(k + 1237)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 7, l: 1}. Give prob of picking 3 n and 1 l.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 + h**2 + h. Let b(g) = 2*g**2 - 10*g + 1. Let p be b(0). Let c(y) = -8*y**3 + 12*y**2 + 10*y. Determine p*c(a) - 12*n(a).\nAnswer: 4*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 4)*(-4 - i + 3 + 0) + 2*i - i + 2*i.\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2302.5106 rounded to 0 dps?\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/412)\/(4\/(-602)). Let g = o + 2\/103. What is the second biggest value in 1\/4, 0, g?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 7*r**2 + r + 4. Let o = -43 - -36. Determine g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/13 - (8 - 5)*(-24)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m, -4*m + 3 = 2*w - 5*m. Suppose -5*l = -4*s + 3342, 276 - 1938 = -2*s - w*l. Let x = s - 592. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*z + 2*j, -5*z + 2*j - 7*j = 15 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 192701776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -3*y**2 + 798*y - 3144 = 0.\nAnswer: 4, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes before 3:24 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/8 - 153*v\/8 = 0.\nAnswer: -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 5925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 104517 (base 8) to base 10\nAnswer: 35151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.1 (b) 0.02 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**4 + 35*v**3 - 59*v**2 + 45*v - 13. Let l(p) = -p**4 - p**3 + p**2 + p - 1. Let x(a) = l(a) - n(a). Factor x(o).\nAnswer: 4*(o - 1)**3*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, 29, 111, 225, 371, 549?\n\"Answer: 16*d**2 + 2*d - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1893*z + 1784*z = -2398 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6423*l + 179826. Determine g(-28).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -3*f**5\/20 - 5*f**4\/12 - 29*f**3\/6 + 3039*f**2 - 3500*f. Differentiate z(o) wrt o.\nAnswer: -9*o**2 - 10*o - 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y - 4. Let t be c(-3). Let k be (4 - 5)\/((-1)\/t). Is 2*(2 - 3) + k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*q - 61 + 32*q**2 + 120 - 57 + (3*q + 0*q - 5*q)*(-4*q + 3*q + 2*q).\nAnswer: 30*q**2 - 12*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -11*v + 94. Let l be z(9). Which is smaller: l or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10001010100100001111 (base 2) in base 13?\nAnswer: -16b450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2981 - 1236. Let l be (5 + 0)*4\/(-5). Is c\/45 - l\/18 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-636)\/(-265) + ((-9231)\/(-220))\/(-17)\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/2)\/(1\/(-6)). Let p = d + 5. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3588 + 2264 + 8188 = 351*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d - 14. Let f be z(15). Suppose -p + f = -4*l + 7, p - 10 = -4*l. Suppose -3*h + 4*n = 8, 8 = l*h + 4*n - 0. Solve h = -4*m - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518, -527, -548, -587, -650?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 32. Let i = 29 + -19. Let y = 5 - i. Do n and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 178, 3\/71, 4\/3 in descending order.\nAnswer: 178, 4\/3, 3\/71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**5\/360 + r**3\/4 - 11*r**2\/2 - 10. Let g(i) be the second derivative of t(i). Find x such that g(x) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 + 4*m + 4. Suppose 2*r - 170 = 7*r. Let z = r - -29. Let f be k(z). Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.071 + -30.929. Let w = a + 20. Let q = w - -8. What is the closest to 2\/5 in 5, 5\/4, q?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -360986*h - 1082949. What is r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431880 divided by 21594.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, f: 3, a: 9, w: 1, b: 2}. What is prob of sequence dwfa?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zjdz. Give prob of picking 1 j, 1 z, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 7)\/(1\/3). Let v be s\/10*70\/(-4). Let m = 40 - v. Is -1 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 34 = 2*l, -f - 5*l - 3 = -2*l. Let d be (-32)\/(-18)*(-9)\/f. What is the biggest value in 2\/13, d, -8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -143134505 (base 6) to base 8.\nAnswer: -13205551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-69)\/(-944)*11\/(145695\/(-10)). Let g = i - -15972227\/81479708. Let n = -3\/136 + g. Find the common denominator of n and 59\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 296901 and 897?\nAnswer: 88773399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 6. Let r be m(10). Let s be (3 + r + -3)*-1. Let y be 7\/(-3) - s\/6. Is y less than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 402944, 402640, 402336, 402032?\n\"Answer: -304*m + 403248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 divided by 40?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 149, 155, 153, 137, 101, 39?\n\"Answer: -g**3 + 2*g**2 + 7*g + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 2\/117 (c) -0.2 (d) 2\/5 (e) 2 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -4, 0.5, 19 in increasing order.\nAnswer: -4, -3\/8, 0.5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - -116?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (1*sqrt(84) - sqrt(84))*-3 + sqrt(84))\/(3*sqrt(192)) - (-4*-3*sqrt(2268))**2.\nAnswer: -326592 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - (-2 + 9)) + 14 + -28?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/((1\/(-3))\/(4\/6)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 + 6*j - 4. Suppose -5 - 5 = -2*y, y = 5*f - 15. Let c be n(f). Solve c = -3*m + 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12830 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 + -1801265325433?\nAnswer: -1801265325433.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106149031*n**2 - 184*n**3 + 20*n**3 - 106149031*n**2 + 2.\nAnswer: -164*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 5*k - 2 + 5, k + 18 = 5*j. Which is the fourth biggest value? (a) j (b) -1 (c) 1 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281*p**2 - 209757 - 209755 + 277*p**2 - 209765 + 629277.\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3862*c**2 + 52*c + 9.\nAnswer: 7724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-23)\/4*-2 + -3. Which is greater: 2\/3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 366*n**3 + 3*n**2 - 13*n - 168788.\nAnswer: 1098*n**2 + 6*n - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1496 and 23901864.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 3*f**2 + f - 5. Let x be p(-3). Let k(l) = -6*l + 17. What are the prime factors of k(x)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/6720 + d**7\/504 - 7*d**5\/120 + 47*d**4\/24 - 6*d**2. Let z(k) be the second derivative of y(k). What is z(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004699308 rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 644 or 5161\/8?\nAnswer: 5161\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + (sqrt(11)*3 - sqrt(11)) + -4 - (sqrt(77)\/(sqrt(7)*1) + (sqrt(132)*-2)\/sqrt(12))).\nAnswer: -1 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7308963.676 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30891630 a multiple of 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3960 and 53\/48?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019195 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, k: 1, n: 1, u: 1, g: 1}. Give prob of picking 1 g, 1 n, and 1 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*d - 16 = 2. List the prime factors of -6 - (d*369 - 6).\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -15. Let h(j) = -j**2 - 4*j + 12. Let i be h(y). What are the prime factors of (-396)\/i + (-2 - 2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 218 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101110111010010101101110110 + 10?\nAnswer: 101110111010010101101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-1)\/(3905\/748))\/(258\/(-5375))?\nAnswer: -2\/213","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 32. Let t be s(-6). Let d be 8\/t - ((-72)\/5 - -1). What is the third derivative of -2*j**2 - 3*j**2 - d*j**3 + 4*j**3 + 0*j**2 wrt j?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1040 divided by 104?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41695 + -30?\nAnswer: -41725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 + 72. Let v be (0 + 0)\/(10 - f). Solve v = -4*u + 3 + 17 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 - 2*g + 4. Let u be v(-3). Let p be (11 - 3)\/(-1 + 2). Is u\/(-2) + 116\/p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4086 or 4085?\nAnswer: 4086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 3*q**2 + 5. Let a(g) = 4*g**2 - g + 6. Let y be 286\/(-65) + 3\/(-5). Let r(l) = y*a(l) + 6*x(l). What is the second derivative of r(j) wrt j?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*d**2 + 20*d**2 - 60*d**2 + 19*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from wwwyyyyywyy.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**7\/2520 + h**6\/120 - h**5\/30 - h**4\/8 - 4*h**2. Let x(v) be the second derivative of r(v). What is x(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 2 (c) 7 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 565759 or 565780?\nAnswer: 565759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1113\/231*11)\/(-1).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 1329. Let s(t) = 22*t**2. Give s(o(m)).\nAnswer: 22*m**2 - 58476*m + 38857302","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/12*212\/(-2) and -89\/15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.053 (b) -29 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -1775*v**3 - 9*v**2 + 27*v - 3. Let w be z(-9). What is w rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -629? (a) 5 (b) -1\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.5966808 centuries?\nAnswer: 0.05966808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 less than 90966534703?\nAnswer: 90966534703.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12\/7? (a) 1\/5 (b) 4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 4*c + 8*c - 6*c.\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 9*m - 43 = -2*h, m - 4*h = 13. What is the remainder when 6\/60*169 + (-1)\/(-10) is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert db (base 14) to base 8.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c - 3*h - 15954, -5*h + 10 = 0. Let z = c - 1949. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*j**2 + 188*j - 40.\nAnswer: -4*(j - 5)*(9*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*z**2 - 84*z**2 - 49*z**2 as m*z + s*z**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121556586, 243113170, 364669754, 486226338?\nAnswer: 607782922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 523, 2114, 4767, 8482, 13259, 19098?\n\"Answer: 531*t**2 - 2*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 874410 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a1aa39 (base 12) to base 9.\nAnswer: 16884460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 997220 a multiple of 419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*z - 1 = -0*z, 2*g - 3*z = 2. Do g and 5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h - 8*h + 7*h + 4*g + 8, -3*h = 3*g + 51 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 4. Let r be g(7). Let q(i) = 3 - 3 - 1 + 2 - 289*i + 563*i - 275*i. Calculate q(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52951 is divided by 1393?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885?\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127 a factor of 24890922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*q + 2*o, -4*q + 5*q + 4*o = -21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - 3*h + 3*h)*(118*h**3 - 41*h**3 + 117*h**3) as i + y*h**4 + c*h + s*h**3 + p*h**2 and give y.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4113458\/6775 - 5628\/271. Let t = v - -628. What is the nearest to 1 in t, -1, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.43 + -1.33. Let t = 0 - -0.3. Which is greater: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48941 divided by 24.\nAnswer: -48941\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/((-84)\/176) - 1 and -73\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44044 and 656942.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005 divided by -3?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -116.1823\nAnswer: -348.5469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(192)*-1 - sqrt(192) - sqrt(192)) + -2 + 4 + (sqrt(72)\/sqrt(3) + sqrt(24))\/sqrt(8) + 0)**2.\nAnswer: -568*sqrt(3) + 60496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76574, 76636, 76698, 76760?\n\"Answer: 62*h + 76512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**4\/6 - f + 16. Let z(p) be the first derivative of t(p). Let g(x) = 4*x**2. Calculate z(g(n)).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -3)*((-552)\/(-72) + -10)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 1)*(3*m + 0*m - 2*m) + 2*m - 5*m + 4*m - m - 5 + 5)*(2 + 1 - 2)*(5 + 2 - 3)*(1 + 5 - 3) in the form y*m + z and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22*n**2 - 9*n**2 - 11*n**2)*(58*n - 1830 + 1830) as f*n**3 + k*n**2 + t*n + o and give f.\nAnswer: -2436","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4213 - -1.421294287. Round q to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1352 = c + 1360. Let y be 63\/(-9) + (2 - -3). Sort 3, 0, y, c.\nAnswer: c, y, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 533883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 12*f - 9. Let l = -8 + 12. Suppose -l*u + 4*y = -y - 21, 3*u = 5*y + 17. Let r be h(u). What is the greatest common divisor of 273 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 35 = 21. Find the third derivative of 12 + 6*z**6 - 3*z**2 - 6*z**6 - 12*z**6 + n wrt z.\nAnswer: -1440*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 518*v**2 + 13 - 16 - 3*v + 971*v**2 + 4.\nAnswer: 1489*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -5*p - 7*f + 2*f, 5*p = -f + 121. Let b be ((-11)\/4)\/(-1) - p\/(-100). Sort 59, -4, b.\nAnswer: -4, b, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/(-2))\/((-3)\/42). Let d = -89 - b. Let y = -10 - d. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9159 and 2967.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((6\/15)\/((-7)\/35)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p = 181*p + 130*p - 2401 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87\/76 + 2\/19. Let i = -37\/105 - -1\/15. Which is the smallest value? (a) -4 (b) o (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672640182 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d**2*s*t - d**2*t**2 + 81*d*s*t**2 - 50*d*t - 4*s*t**2 - 8*s*t + 5*t**2 + 3*t wrt t?\nAnswer: -2*d**2 + 162*d*s - 8*s + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -i*l*m**2 - 2023*i*l - 121*l*m**3 - 3*m with respect to m.\nAnswer: -2*i*l*m - 363*l*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/34*1343\/79.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - k - 5*k**3 + 4*k**3)*(-798 + 1625 - 510).\nAnswer: 317*k**3 - 317*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-77)\/21)\/(2\/(-6)). What is the highest common factor of 44 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.99 - -4.69. Let s = 75 - 70. What is the nearest to n in -3\/4, 0, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 38640 and 19560?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a*g**3 - 5*a*g**2*w - 3*a*g*w**2 - a*g + 208*g**3*w**2 + 2*g**2*w - 34*w wrt w?\nAnswer: -6*a*g + 416*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -316, -522, -728?\n\"Answer: -206*b - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**2 - 2*s + 2. Let m be n(-3). Let v = m + -24. What is the least common multiple of 8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22107 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8594 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 + -229. What is the common denominator of 4\/8*41\/10 and 3010\/504 + w\/(-18) + -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5\/2 - -9\/4. Let s = -112.1 + 116. Let d = s + 0.1. What is the closest to 2\/9 in w, d, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgjjwjwjiwgwiwjwgjj. What is prob of sequence jggi?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 223 + 83 = 0. Suppose 0 = p*k - 8695 - 1565. List the prime factors of k.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-114)\/(-152))\/(1\/(-16))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 - m**2 - m - 1. Let x(o) = -3*o**3 + 7*o**2 + 7*o + 4. Let h(w) = t(w) + x(w). Let j be h(7). Let s(z) = 4*z - 1. What is s(j)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -41894.18 and 0.3?\nAnswer: 41894.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 566141\/60 - 9437. Calculate the common denominator of z and -49\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 4) to base 12\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssmm when four letters picked without replacement from {m: 6, s: 2, f: 5}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -25*i**3 - 11*i**2 + 7*i + 9. Suppose -31 = 5*u + 4*k, 21*u = 25*u - 6*k - 12. Let t(g) = 13*g**3 + 5*g**2 - 3*g - 4. Give u*c(b) - 7*t(b).\nAnswer: -16*b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**3 + 3*d**2 + 4*d + 5. Let v = 168 + -118. Let h = v + -52. Let s be w(h). What is the highest common divisor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 1234*n + 2432. Let x be g(-42). What is x rounded to the nearest 1000?\nAnswer: -49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 513503 - -12604?\nAnswer: 526307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -384, -514, -644?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2148 and 127.5333753.\nAnswer: 127.7481753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 2. Let t be 6 - (1 + -4 + 3\/1). Determine d(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*w = -6293, 4*o + 12*w - 4990 = 7*w. List the prime factors of o.\nAnswer: 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1a9c (base 15) to base 11.\nAnswer: 823289","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 4 = 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 27 - 13*l)*((-1 + 4 - 1)*(l + l - 4*l) - 2*l + l - 4*l) + (59*l + 23*l - 15*l)*(8*l + 19 - 19) in the form b*l + t + q*l**2 and give q.\nAnswer: 653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7519993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 26*d + 2. Let c be u(3). Suppose 5*o - 3*f - c = 82, -o = f - 34. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 1:45 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 5, q: 4}. What is prob of picking 2 b?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of 3*v**5\/20 - v**2. Let d(w) = 7*w - 3*w + w - 6*w. Calculate f(d(h)).\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-18)*6 + 1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 9) in base 10?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 - -103. Let a = 30.92 - g. Sort 3, -1, a in ascending order.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/2, 54, -4 in descending order.\nAnswer: 54, 1\/2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 792 and 264.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 + 3. Calculate the highest common divisor of 36 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 4*o = -1291, -2*o + 6499 = -5*u. Let v(c) = 4*c**3 + 11*c**2 - 21*c - 16. Let b be v(-9). Let f = u - b. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*i - i, 0 = -4*i + 2*h + 10. Let u be (i + -7)*(-44)\/6. Calculate the greatest common divisor of u and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + 252828\/28032 + -7 and -139\/24.\nAnswer: 7008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100 - 0?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 869879 (base 11) to base 4.\nAnswer: 11103023213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312966 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.7176 - -5620205.29.\nAnswer: 5620195.5724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + 10?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17448 and 2.54.\nAnswer: -44317.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-7))**(-20))**(-31) assuming f is positive.\nAnswer: f**4960","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(4 + 1 + sqrt(1900) + (sqrt(1900)*-2 + sqrt(1900))*1 + sqrt(1900) + sqrt(1900)))**2.\nAnswer: 7200*sqrt(19) + 274500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 25.47703ml?\nAnswer: 0.02547703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44956515817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - v - 710 = 2*v, -o - 5*v = 355. Calculate the remainder when (o - (2 + -4))\/(-1) is divided by 51.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**2 - 23*n + 9. Give b(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-8)*2 - (-47)\/(-188). Suppose w = 5*g - 3888 + 418. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78903923591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three tenths of a centimeter?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*q**2 + 299*q**2 - 149*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 540279463?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -91376200 + 0.03.\nAnswer: -91376199.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 57945.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*l + 0*l - l - 13*l - 333*l**2 to g*l + u + v*l**2 and give v.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -92.\nAnswer: 1472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -46*u. Let r be c(1). Let a(i) = -i**3 - 11*i**2 - 10*i - 10. Let f be a(-10). Let x be r\/(-10) + (-4)\/f. Solve -q = x - 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 20. Let w(g) be the second derivative of 5\/6*g**q + g + g**2 + 1\/12*g**4 + 0. What is w(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + h + 229, -g - 3*g - 2*h = -226. Suppose -x = g + 98. Let m = x + 234. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 + -2 - (1 + -2). Let c = 9 - k. Suppose -y = 0, -2*w + 18 = w + c*y. Calculate the greatest common divisor of w and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -968266*b**4 - 20*b**3 - b - 219808511?\nAnswer: -3873064*b**3 - 60*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m + c + 4110 - 4193 = 3*c, -5*m + 81 = -4*c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -47*a + 49*a. Suppose 18*t - 494 = a. Suppose -3*j = -67 - 92. Calculate the remainder when j is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100000111111011001001001 - -100?\nAnswer: 10010100000111111011001001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 e when two letters picked without replacement from fffqefefesfxfees.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 614 a factor of 34103402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74589 is divided by 100.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6367 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/4 + 4*f - 16.\nAnswer: -(f - 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**5\/15 + m**4\/12 + m**2 - m. Let z(n) be the first derivative of u(n). What is the second derivative of z(x) wrt x?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167812?\nAnswer: 2, 41953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 352\/(-1 + 3126\/3125). Round i to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29366*x**4 - 86*x + 8 wrt x.\nAnswer: 352392*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11 - 13152?\nAnswer: -13141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, 3, -13 in increasing order.\nAnswer: -16, -13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85943*t + 85943*t - 96*t**3.\nAnswer: -96*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - ((-1*sqrt(153)*-5 + sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153)))\/(4*sqrt(36)\/sqrt(4)))**2.\nAnswer: 833\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1 + -3*((sqrt(1377) - 6*sqrt(1377)*-2) + sqrt(1377)) + (1 + (sqrt(1377) - (1 + sqrt(1377))) + sqrt(1377) - sqrt(1377)) + 1))**2.\nAnswer: -54432*sqrt(17) + 87445152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 2. Let m(h) = 5*h + 4. Let d be m(-2). Is l > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 1 + 3*w - 4 + 4*w. Let f be a(4). Is (-167)\/(-13) - (-6)\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/9)*h)\/(h*h**0\/h))\/(h**(2\/7)\/h**(1\/5)) assuming h is positive.\nAnswer: h**(358\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -405a?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434 = -9*q - 110. What is the remainder when 104 is divided by q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110102 (base 3) to base 12.\nAnswer: 23b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10669082 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**5*n - 10*c**5 + 10*c**3*n + 59*c**2 - 3*c*n wrt c?\nAnswer: 60*c**2*n - 600*c**2 + 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -774.999999993 + 775. Round j to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**2 - 18 + 5*r**2 + 14*r**2 - 14 to m*r + q*r**2 + p and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 9:14 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 8, -39*p = 3*l - 44*p - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + 0*f)*(-4 + 24 - 11).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.127 + -107551936\nAnswer: -107551935.873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -26*n**3 + n**2 - n + 2. Suppose 0 - 3 = -3*a - p, 4*p = -2*a - 8. Let j be z(a). Let x = -91 - j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - (37 + -11) - 21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/100 and -5\/48?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b = -1910 + 1946. Solve -b*x + 7*x - 5*g + 29 = 0, 0 = -4*x - 2*g - 4 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24740868 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20589640 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 2*i**2 - 5 + 0*i + 7*i + 7*i**2. Let j = 6707 + -6715. Let r be w(j). Solve -3*d + 4 = -4*d - f, 0 = 5*d + r*f + 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnrr when four letters picked without replacement from rrnrrrrrrrrn.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353972940 to the power of 1\/2, to the nearest integer?\nAnswer: 18814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3 + 10 + 7*o**2 - 4*o**2 - 3*o**2 with respect to o.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of 1\/120*m**4 + 3\/20*m**3 - 1\/2*m**2 + 0 + 41*m. Find j such that u(j) = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h\/((h*h*h**(1\/3))\/h)*h*h)**4)**(-2\/9)*(h**1)**(-1\/35)*h**(-1)\/((h\/(h\/(h**(4\/9)*h*h)*h)*h)\/h) assuming h is positive.\nAnswer: h**(-6257\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 183, 185?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 54*d**3 - 48*d**2 - 45*d + 102. Let g(n) = -11*n**3 + 10*n**2 + 9*n - 20. Let m(s) = -4*c(s) - 21*g(s). Factor m(x).\nAnswer: 3*(x - 1)**2*(5*x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2\/9*f**2 - 46\/9*f - 2\/9*f**4 + 0 + 46\/9*f**3 = 0.\nAnswer: -1, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjrrjjjijjrrrrrji. What is prob of sequence rjij?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -4*z + 9. Determine n(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w - 2 + 1 - 3. Let a(u) = 4*u**2 + 468*u - 1448. Let f be a(-120). Calculate q(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 6*f**2 + 2*f. Let r be h(-6). Let w = -26 + 24. Let s = -0.4 - -0.7. Which is the smallest value? (a) w (b) r (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of 9\/2*o**2 - 10*o + 0 - 1\/6*o**3. What is the units digit of s(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1271, 5078, 11423, 20306, 31727, 45686?\n\"Answer: 1269*d**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, h: 1, a: 1, s: 2, p: 1, l: 1}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**4*o*y**2 - 443*k**2*y**2 - 47*k*o*y**2 - k*o*y + y wrt k.\nAnswer: 24*k**2*o*y**2 - 886*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -6*i - 6. Let k(v) = -1. Let q(w) = 6*k(w) - u(w). Suppose 3*h - 2*h + b + 4 = 0, 0 = h + 5*b + 24. Give q(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2. Let x(s) = -1967*s + 3. Let i(g) = 2083059*g - 3176. Let p(y) = -3*i(y) - 3176*x(y). What is b(p(m))?\nAnswer: -3940225*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 107, 153, 199, 245, 291, 337?\n\"Answer: 46*b + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1230 = -2*g, 0*x + 3075 = -5*g + 3*x. Let l be 32\/8*g\/(-4). Suppose l + 310 = 5*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + v - 12 = 0. Let m be (v - -11) + (-3*1 - 0). Find the third derivative of -15*u**2 - 11*u**3 + 14*u**3 + 19*u**m - 3*u**3 wrt u.\nAnswer: 456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 248 divide 522784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s. Let k = -1 + 4. Let c(g) = g**2 - k*g**2 + 6*g**2. Determine c(t(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175 - 185 = -p + f, -p + 5*f = -360. Suppose t - 7907 = -5*n + p, n + 41439 = 5*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16.154156 and -4.\nAnswer: -64.616624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/237515291 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1186, -10679, -36444, -86617, -169334, -292731, -464944?\nAnswer: -694109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 75218.9 and -6?\nAnswer: -451313.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 150?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15088 and 47150.\nAnswer: 377200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, -3, 9\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**5*y + 87065*h**5 + h**2 + h*y - 3409 wrt h?\nAnswer: -120*h**2*y + 5223900*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**6\/40 + 3*n**5\/20 + n**4\/2 + 15*n**2. Determine i, given that w(i) = 0.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 12, 9523 = -0*j + 3*j - 5*z. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 5 + x**3 + 5*x**2 + 10*x - 6*x - 2. Determine h(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1898 - -71.\nAnswer: 1969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7453084?\nAnswer: 2, 1863271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2. Let d be 1 + -1 - -5 - 4. Let g(m) = 3 - 2*m + m - 3. What is d*y(x) - 2*g(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3\/7 + 678*u**2\/7 + 38307*u\/7 = 0. Calculate u.\nAnswer: -113, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 17 = j, -j - g + 1 = 4. Factor -3*r - 7*r**3 + 2*r**4 + 3*r - r**3 + 2*r**j + 12*r.\nAnswer: 2*r*(r - 3)*(r - 2)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45588 by 5.\nAnswer: -45588\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 806286540 to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -81, 4, -1, 2 in decreasing order.\nAnswer: 4, 2, 0, -1, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31, 14, -17, -68, -145, -254, -401, -592?\n\"Answer: -b**3 - b**2 - 7*b + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 6*s**2 + 6*s + 10. Let c be a(7). Suppose -c*m - 205 + 60 = -2*n, 4*n = -3*m + 299. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*p**6 - p**4 - 220*p**2?\nAnswer: -3480*p**3 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 200\/(-210)*(-2)\/(4\/3). Let z = -38 - -43. Let h be z*1\/5*1. Do j and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - t + 5*t - 38 = 0, 2*f - 26 = -2*t. Suppose 120 - 10 = 2*i. What is the remainder when i is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 114*q + 2446. Determine d(-89).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:52 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 27101 = 3*t - 27096, 3*b - t - 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182801*c**5 + c**4 + 732*c**2 + 601*c.\nAnswer: 10968060*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 346428997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18.9 and 10?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1210)*2 + sqrt(1210) + sqrt(1210))\/(sqrt(2) + sqrt(98)*-1 - sqrt(2)))**2.\nAnswer: 9680\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 254897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 41 + 9 = 4*x + 34, 0 = 5*x - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 4*h + 4. Let r be v(4). Suppose 6*s + r = 9*s. Suppose -2*u - 21 = -5*u. What is the remainder when s is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/29372 and -107\/8100.\nAnswer: 59478300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1616850151 to the power of 1\/3, to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23114959267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35796 + 28865. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2003?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**(2\/51)*(j**2)**21 assuming j is positive.\nAnswer: j**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + 0 - 11*j + 1 + 4. What is the remainder when 29 is divided by s(-10)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14978382 to the nearest integer?\nAnswer: 3870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1576*x + 11. Let j(w) = -781*w + 5. Give 7*j(c) - 3*o(c).\nAnswer: -739*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1210\nAnswer: 2420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261718 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3432, 13786, 31066, 55272, 86404, 124462, 169446?\n\"Answer: 3463*n**2 - 35*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7273206 and 2214?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - g + 0*g)*(2 + g - 2)*(-14 + 5 + 7).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5368458074 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n + n - 3*n - 1 - 1. Let j be i(-3). Sort -4, -3, j in descending order.\nAnswer: j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -295\/166 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 724, 2461, 5840, 11407, 19708, 31289, 46696?\nAnswer: 66475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 80 = 14. Solve k*f + 10 = 27*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 910 is divided by 26?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 6 = l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 - 1131348*b - 1279948297104.\nAnswer: -(b + 2262696)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -37. Calculate the greatest common factor of c and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -628 or -174?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11573278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 677723*a**5*v**2 - 19*a**3*v**2 + 51*a**2*v**2 - 6992*a**2 - 6*a*v wrt a?\nAnswer: 40663380*a**2*v**2 - 114*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -47.058. Let z = 0.442 + m. Which is the third smallest value? (a) -0.2 (b) 5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:57 AM?\nAnswer: 1:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 289 + -161. Let x = u + -128.00398. What is x rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 719 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 186.\nAnswer: -930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 45. Which is the closest to 0? (a) -12\/7 (b) -3 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 3.8. Let w = 0.46 - -0.04. Let p = m + w. What is the third smallest value in 0.4, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*w = -1267 + 1487 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*c + 4, 0 = -3*f + 3*c + 12. Let r(q) = 1 - f*q**2 - 1. Let i(w) be the second derivative of w**3\/3 - 3*w. What is i(r(b))?\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4291*v. Let g(y) = -9*y. Determine g(t(i)).\nAnswer: -38619*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 85 + 90 = m, 5 = 5*q + m. Suppose q*k = -9*k + 15705. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 696 and 21?\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -1. Let s(d) = d**3 - 9*d**2 + 10*d - 12. Let a be s(8). What is b in -b**4 + 31*b - 31*b - b**a + 4*b**3 - l*b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0047762999 to six decimal places.\nAnswer: 0.004776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1856)\/(-696)*9\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2623 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4744.2163 rounded to the nearest 100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-34*(-2)\/(-4))\/(-1). Suppose 5*b + 37 = 2*i, 2*i = -b - 1 - 4. Let f = b + 11. Solve -2*y = -2*k - 12, -k + 2 + s = f*y for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 2*f + 135 - 46, 2*f - 51 = -3*i. What is the second derivative of -19 - 11*z**3 + i - 15*z wrt z?\nAnswer: -66*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 7*y**2 + 23 + (-2*y - y + 2*y)*(0*y - 3*y + y).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + p = -901, -3*g + 101*p + 646 = 96*p. Solve 0 = 72*f - g - 61 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 37*h**3 - 2*h**2 + 2*h - 1. Calculate t(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4423.676 meters to millimeters.\nAnswer: 4423676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7555, -4, -6\/13, 2?\nAnswer: 7555","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1301*u + 1290*u - 132 = 0 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(1 + sqrt(612)) - (-1 + sqrt(612) + -1)) + -5 - 4*(-5 + (sqrt(612) - 6*sqrt(612)*1) + -2))**2.\nAnswer: 3360*sqrt(17) + 120352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 951*w**2 - 35703*w - 34749.\nAnswer: 3*(w - 351)*(w + 1)*(w + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*j**2)*(-3*j**2 + 2*j**2 - j - 4 - j**2).\nAnswer: -4*j**4 - 2*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747 a factor of 910659639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y + 22 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/13)\/m)**(-30) assuming m is positive.\nAnswer: m**(330\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -70238893 - -206638888. Suppose 0 = -4*j - 5*c + g, c - 2*c + 170499999 = 5*j. What is j rounded to the nearest one million?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - s + 109 = 51, 5*s = -k + 5. Let r be (48\/(-324))\/(10\/k). Let l = 0 - -5. Which is the nearest to 2? (a) l (b) r (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 373695719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -q - 171181, 3*t = -q - 24370 - 146807. Is q\/(-28) + 4\/(-14 + -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2716159, 2716186, 2716203, 2716204, 2716183?\n\"Answer: -i**3 + i**2 + 31*i + 2716128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1813 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-19217273)\/(-2745393) + 14\/(-2). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 475276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 130 (base 4) to base 16\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1256*x - 690807. Calculate o(-550).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086*37.\nAnswer: -40182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -19*z + 29495. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36743 divided by 614\nAnswer: -36743\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17563 and 9737.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 13*j - 18*j + 2311, 2*j = -4*h + 928. Let a = -442 + j. What is the remainder when 171 is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - (16 + 15 + -11)) + 30?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11*f**6*r**3 - 12*f**5*r**3 + 4*f**2*r**3 - 45*f**2*r wrt f?\nAnswer: 1320*f**3*r**3 - 720*f**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 25 + -47 - (4 - (0 + (3 - 3)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -4271*f**5\/20 + 767*f**3\/6 + f**2\/2 - 4982*f. What is the second derivative of l(y) wrt y?\nAnswer: -25626*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(2\/135)\/(q\/(q**0*q))**(1\/24))**(-13) assuming q is positive.\nAnswer: q**(-13\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1133, -4, 4, -2 in decreasing order.\nAnswer: 4, 1, -2, -4, -1133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*r + 1, -16*r + 12*r = -k - 33 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {n: 1, b: 5, p: 3}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 764 + -759. Solve -c*t + 4*z = -0*t, 0 = -t + 4*z for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -6.64?\nAnswer: -6.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1632 + -1629. Solve -4*i + 4*m - m = 5, 0 = i + m + y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 155 + 145. Let d = 503 - t. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d = -72. Suppose -d*t - 4 = -14*t. Let w(a) = 8*a**3 + a + 1. Give w(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 5. Let k be s(-5). Solve k*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/5*b**2 - 2*b + 1\/3*b**3 + 0 + 4\/15*b**4 + 2\/25*b**5. Factor r(j).\nAnswer: 2*(j + 1)*(2*j + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -10. Let c be 5\/(-1 + (2 - 2)). Let v = c - -5. Solve 5*i + 3*x = 5*x - 1, -4*i - q*x - 14 = v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1656814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g. Let r(a) = 2050392*a**2 - a. Give r(y(b)).\nAnswer: 18453528*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.874, -148, -3?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -182*o - 79*o + 252*o - 112*o - 26 - 13 in the form s*o + x and give s.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -248*m**2 - m. Let i be b(1). Let h = i - -261. Let x(n) = 3*n**2 + 8. Calculate the remainder when x(-7) is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 15. Let u be c(16). Calculate the greatest common divisor of 1 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 7. Let w be ((-112)\/20 - -6)*10. Suppose l = w*y - 22, 2*l - 5*y = -46 + 17. Let z(d) = -4*d + 8. Calculate l*z(f) - 3*u(f).\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/(66\/(-495))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38.8 + -41. Let y = k - -2.1. Which is the second biggest value? (a) 3 (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 224\/207 - 30\/23. Let d be 4*-4*3\/(-168). Which is the closest to d? (a) j (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30039026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 368, 757, 1170, 1607, 2068, 2553?\nAnswer: 3062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1658662 + 0*t - 1658664 - 19*t + 3317326.\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296400 to the power of 1\/3, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2769772 and 739?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1014 in 0.1, 4, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54*(-49)\/3087)\/(36\/(-14) + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + n**2 - 3*n**2 - 3*n**2 - 2 + 2 + (-4*n + 3*n + 0*n)*(1 - 2*n - 1) to the form w*n + p*n**2 + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**4 - 850*o**3 - 6858*o**2 - 11214*o - 5194 = 0. Calculate o.\nAnswer: -371\/6, -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.243047 rounded to 3 dps?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*g = 115*g - 497*g + 3880 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-12)*w)\/w)**(-1\/17)*w**19\/w**10)**(-47) assuming w is positive.\nAnswer: w**(-7755\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 2*k - k. Let m(v) be the third derivative of 11*v**6\/360 - 7*v**3\/2 + v**2 + 5. Let r(u) be the first derivative of m(u). What is z(r(p))?\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 10*r + 12*r = -9, 30 = -m - 9*r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00569 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 468800 = 335*z - 303*z. What is the greatest common factor of z and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 8 + 13*q**4 + 46 + 16 wrt q?\nAnswer: 52*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 90 = -3*n + 80, 0 = 4*z - 5*n - 765. Let w = -1297\/7 + z. Let p = -2 + 2.3. What is the smallest value in w, p, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52065.69 + -0.241.\nAnswer: -52065.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560 is divided by 278.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(360\/5))\/(78\/(-702)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 10, 10, -8, -56, -146?\n\"Answer: -2*o**3 + 3*o**2 + 5*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1282.07 + 1290. Let a = j - -0.07. Let y be 702\/(-171) - (0 + -4) - 6313\/(-2033). What is the third biggest value in -1\/2, a, y, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + -5*sqrt(153)*1)\/(sqrt(9) + 1*sqrt(9)*-3) - (sqrt(34)\/sqrt(2) + 2 - (-2 + sqrt(17))*1).\nAnswer: -4 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**6\/360 - 43*q**5\/120 + 127*q**3\/3 + 96*q. Let z(p) be the second derivative of s(p). Factor z(v).\nAnswer: -v*(v + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. What is the third biggest value in 5, i, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/138 and -75\/92.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2896630*t**3 - 2748981 wrt t?\nAnswer: -8689890*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4770 - 4770. What is the biggest value in -5, -1, y, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -2*n - 30, 0 = g + 5*n - 3*n. Suppose -g = -5*v, 0*v + 26 = 4*t - 3*v. Let h = t - 6. Solve -5*o = 5*x - 15, h*o + 2 = -0*o for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide -4 + (3 - -7*25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5554291543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/340 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 - 29. Is v\/2*(-1060)\/(-6) - 2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -26*j**4 + 22*j**3 + 22*j**2 + 24*j. Let u(t) = t**4 - t**3 - t**2 - t. Let q(v) = 2*r(v) + 44*u(v). Find the second derivative of q(n) wrt n.\nAnswer: -96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1085 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (10 - (-5 - -1)) - -5) + -50?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 6571*o - 1. Let g(y) = 19*y**2. What is d(g(m))?\nAnswer: -361*m**4 + 124849*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y**4\/6 - y**3\/2 + y**2\/2 + 2*y. Calculate the smallest common multiple of i(3) and (-5184)\/(-96)*2\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2419*j**6 + 2429*j**3 + 45*j**2 - 17*j - 16511?\nAnswer: 290280*j**3 + 14574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = -4*w, -20 = -4*r - r. Let 2\/3*q + 4\/3*q**w + 0 = 0. Calculate q.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 - 178305*y**2 + 534850*y + 713160 = 0. Calculate y.\nAnswer: -1, 4, 35658","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.6, 0.1, 4, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10.801 (b) 2 (c) 79\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/6 (b) -875980 (c) -5 (d) -4 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3 - 475703*g**2 - 2598113 wrt g?\nAnswer: 6*g**2 - 951406*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -7\/6 (c) -2\/5 (d) 0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.06 - 1.06. Let f = -594 + 640. Let v = p - f. What is the nearest to v in -0.2, 0.1, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495131090 to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**2 + 244*r + 3192 = 0. Calculate r.\nAnswer: -42, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -y**7\/7 - y**5\/4 + 75*y**3\/2 - 134*y. Find the second derivative of w(g) wrt g.\nAnswer: -120*g**3 - 30*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-1)\/4 - 33\/(-4) and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4841\/6 less than or equal to 16603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2534 - 2488. Solve 0 = -25*i + f*i - 21 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -2*j + 3*f, -j - 3*f + 54 = j. Suppose -16 - j = -4*k. Calculate the remainder when 38 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 g, and 1 b when three letters picked without replacement from argozbo?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 744 and 8?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550934367?\nAnswer: 3, 67, 1619, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.5. What is the closest to -3 in d, 1\/4, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -80, -90, -100, -110?\n\"Answer: -10*g - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + 0*i**4 + 5817*i - 15*i**2 - 8 - 5816*i to l*i + s*i**4 + t*i**3 + v*i**2 + f and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*j = -12, 6*j + 20 = j. Find the second derivative of 5*y + y**4 + z*y - 4*y**4 + 2*y**3 - 3 + 0*y**3 wrt y.\nAnswer: -36*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 605422099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 1 + 1\/3*g**3 - 3\/2*g**2 + 0*g. Suppose a(q) = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*r + 7, 3*u - r - 7 = -2*r. Let j = 1 + u. Suppose j*a + 5 = -3*l, -5*l - a = -l + 1. Solve l + 2 = w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:41 AM?\nAnswer: 3:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 3\/8, 3, -1\/86 in descending order.\nAnswer: 42, 3, 3\/8, -1\/86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, -3, 0.2, 1.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by -37.\nAnswer: 48\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vcxfvsh. Give prob of picking 1 s and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of 2*h**3\/3 + 656. Let m(o) = 4*o - 5. Calculate m(v(x)).\nAnswer: 8*x**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 + h**2 + 6*h**2 + (0 + 0 - 2*h**2)*(-1 + 5 - 3) + 3*h**2 + 3 - 3 + (-4*h + h + 4*h)*(7*h + 5*h - 8*h) to i + j*h + y*h**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 765 and 2.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1917 - 1112. Let v = 1413 - n. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**11*i**7)\/(i\/(i\/i**(1\/2)))**(-7\/6) assuming i is positive.\nAnswer: i**(223\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376.7 less than or equal to -378?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a - 10 = -18*a. Suppose 22 = 5*t + b, -2 = -2*t - a*b + 5*b. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39056 and 1552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 298463.6 millennia?\nAnswer: 29846360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of -11*p + p**3 - 11*p**2 - 16*p**2 + 21*p + 41*p + 14. Factor o(i).\nAnswer: 3*(i - 17)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 15601839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80 - 45. Is w a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 665*g**2*w**2 + g**2*w + 9085*w**2 wrt g.\nAnswer: 1330*g*w**2 + 2*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*s - 2*s - 20. Let q(z) = -z**3 + 5*z**2 - 5*z + 1. Give q(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287877157 to the nearest integer?\nAnswer: 16967","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 90 - 21. Calculate the remainder when j is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(10) + sqrt(30)\/sqrt(3)))\/(-2*sqrt(48) + sqrt(12)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1426410 and 2.\nAnswer: 1426410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22268 + -22286. Which is the third biggest value? (a) u (b) -2 (c) 3\/4 (d) -49 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v + 2. Let s be 16\/(-10) - (-2)\/(-5). Let u = s - -6. Let c be 3\/2 + 2\/u. Give r(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - 2)*(-1 - -16). Factor s*z**2 - 15*z + 328*z**3 - 9*z + 12 - 331*z**3.\nAnswer: -3*(z - 2)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5732020093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1129315?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v + 3. Let w(t) = t**3 - 7*t**2 - 6*t - 19. Let f be w(8). Let j be c(f). Solve -b - 2*b + 15 = j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 273656.97 seconds?\nAnswer: 76.015825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 0*o**4 + 0*o**6 + 0*o + 188\/7*o**7 + 26\/3*o**3 + 0*o**2 + 0*o**5 - 256. What is the third derivative of k(n) wrt n?\nAnswer: 22560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-9))\/(-30)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(4212) + (1*sqrt(4212) - sqrt(4212)))\/(5*sqrt(400) + sqrt(4)))**2.\nAnswer: 1273\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/6 and -11\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 128?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**4 + 23*t**3 - 23*t**3 + (-1 - 2*t**3 + 1)*(-t + 2*t + 0*t) - t**4 - t**4 + 3*t**4.\nAnswer: -5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -345 - -385. What are the prime factors of 4 + (-3810)\/(v\/(-8))?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 217?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(3060\/16))\/((-12)\/(-30)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.379 to 1 decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108675876 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839127897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 12*j - 34. Suppose -j*d - 3 = -3*d. Suppose d*t + 4291 = 10*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 5759 in ascending order.\nAnswer: -3, -1, 5759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, -5, -42, -105, -200, -333, -510, -737?\nAnswer: -1020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/5, 55, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 2\/3, 5\/17, -3\/2, -6.7?\nAnswer: -6.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6bb - 1?\nAnswer: 6ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 68 - (-9 - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*l - 2*l**3 + 6*l**4 - 2 + 87*l - 3*l**4 + 4*l**2 - 5*l in the form j*l**3 + v*l**4 + i + q*l**2 + d*l and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, y: 2, b: 4}. What is prob of sequence yyw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, w: 1, f: 1, z: 1, d: 1, b: 1}. Give prob of sequence fd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-4\/9)\/u**(-2\/5))**(3\/2))**50 assuming u is positive.\nAnswer: u**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52556591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 k when three letters picked without replacement from ffoppfkfafkfpakop?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.4, -3\/2, -2\/91?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132894 + -64831. Let o = i + -43332. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:46 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.18 - 1.5. Let s = i + -1.18. Let h = 13 + -12.9. Which is the smallest value? (a) 2\/3 (b) h (c) s (d) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(2*i - 2*i - i)*(11*i + 6*i + 13*i).\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-4 - -1)*1. Let y be -3 + p + 10\/1. Suppose -i = 3*m - 8*m + 7, -4*i - y = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14502 + -632?\nAnswer: 13540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 169548093 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-6)\/4 - (-215)\/10 and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 3*b**5\/20 - 19*b**4\/8 + 13*b**3\/3 + 543*b**2 - b + 2. Calculate x(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15441 is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*f = -19, -5*i + 2*f + 7 + 11 = 0. Suppose 3*r = 3*m - i - 5, -3*m = 2*r + 11. Which is smaller: m or 1\/536?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 - (-4)\/(-12). Let o = s + 5. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.1 (c) 1\/6 (d) -0.66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54186 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.05 and -0.001.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 11618901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2.753 (c) -0.4 (d) 0.2 (e) -5 (f) -7 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 864951090 to the nearest one hundred thousand.\nAnswer: 865000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 18603 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: Find the second derivative of 2805*p**5*v**2 - 1989*p**2*v**2 - 3*p*v**2 - 4*p - 40*v**2 - 695*v wrt p.\nAnswer: 56100*p**3*v**2 - 3978*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -568*n**4 + 103958*n**3 - 6343146*n**2 + 129081490*n - 3177734.\nAnswer: -2*(n - 61)**3*(284*n - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4636111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 6554 and -38.6552.\nAnswer: 6515.3448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -29358.7 to the nearest one hundred.\nAnswer: -29400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 - 56922490*m\/3 - 37948324\/3.\nAnswer: -2*(m + 9487081)*(3*m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence apj when three letters picked without replacement from {j: 1, p: 1, a: 2, l: 4}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = 3*b. Let s = b + 5. Find the third derivative of -3*r**4 + 0*r**s + 2*r**2 + 6*r**4 wrt r.\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2*k - 498342, 700417 = 3*b + 4*k - 47110. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2721)\/(-15) + 4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32775 to the power of 1\/2, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**0\/l*l)\/(l\/l**(-6\/7)))\/(l**(-3\/2)*l*l**(-9)))**(2\/37) assuming l is positive.\nAnswer: l**(107\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42*((-2157)\/90 + 500\/(-15000)).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2. Let l(q) be the first derivative of -q**2\/2 + 5*q - 359. Calculate 3*l(d) + 7*u(d).\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 2*i**2 - 9*i + 6. Let h be m(1). Put 1, 5, -6, h in descending order.\nAnswer: 5, 1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388504183 to the power of 1\/4, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -11 - (-320 + 320)) + -40?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 166 or 154?\nAnswer: 166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*y = 260*y + 4*d + 25, y + 4*d = -5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**4\/6 + 10*u**3\/3 + 2*u**2 + 7*u. Let l be z(10). Which is the smallest value? (a) -3 (b) -4 (c) 0 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*p + 26 + 2 + 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(5))**2*-4 + sqrt(2) - sqrt(2) - (sqrt(72)*4 + sqrt(2)).\nAnswer: -25*sqrt(2) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/10*30\/(-45).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2268.08 + -2225. Let g = -43 + m. Which is the second biggest value? (a) 3\/4 (b) -0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3059*t - 3040*t - 3036*t - 3052*t + 12104*t.\nAnswer: -83*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43904 is divided by 104.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:19 AM?\nAnswer: 8:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 5*z + 6. Let j be a(2). Suppose -m + 6 = -j*m. Let c be 21*1 + (m - 7). Calculate the greatest common factor of 60 and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*t + 5, -3*h + 3*t + 10 = -5. Solve -12*y + 85 = h*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - (-3 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -23 + 0 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-134640)\/8910 - 16\/(-1).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 smaller than -3269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6690 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42)*2)\/(-7*4\/196)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.8 in 2\/7, 0.2, -0.1, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 6, -2\/3, 118, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**3 - 4 + 4 + 3*o**2 - 7*o**4 - 8*o**3 to the form i*o**2 + g*o**3 + h*o + a + x*o**4 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.24 + -1.34. Let r = l - -0.1. Let g = 0.3 + -0.3. Put r, g, -0.5 in ascending order.\nAnswer: r, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 98*v + 119. Give o(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - sqrt(612)*2 - sqrt(17))*2 + -2*(0 + 1 + sqrt(17)))**2.\nAnswer: 64*sqrt(17) + 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187669 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 + 3*z**2 - 3*z**2)*(-3*z**2 - 6*z**2 + 2*z**2).\nAnswer: -7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2 - -0.4. Let q = g + -0.1. Let y = 1.1 - q. Put -0.5, y, 5 in increasing order.\nAnswer: -0.5, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 36*n**2 - 1. Let l(x) = 704*x. Calculate l(c(s)).\nAnswer: 25344*s**2 - 704","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-28)\/21)\/((-8)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1203 - 1204. Let a(g) = 4*g**2 - 9*g + 4. Let o(r) = -r**2 + r - 1. Give u*a(x) - 5*o(x).\nAnswer: x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21, -30, -51, -90, -153, -246?\n\"Answer: -g**3 - 2*g - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102100212 (base 3) to base 8\nAnswer: -20135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 - 30*p - 44. Give j(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*b**2 - 26*b**2 - 6*b**2 + 3*b**3 - 58*b**2 - 40*b**2 - 56*b**2.\nAnswer: 3*b**3 + 74*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -0*q, 2*q = z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-420)\/(-9))\/((-8)\/(-732))?\nAnswer: 2, 5, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-21)\/35) - 3. Let f(y) = 5*y - 11. Let l be f(t). Sort -5, 4, l, -6.\nAnswer: -6, -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 8. Suppose 3*u - 3*v = 0, 2*u + y*v - 4*v = 0. Suppose i = -p + 87, u = -0*p + 3*p + i - 267. Calculate the greatest common factor of p and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 365333 + -4?\nAnswer: 365328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 1:02 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/260*-20*4\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 - -0.8. Let p = -0.04 - -0.12. Let b = 0.08 - p. Put d, b, -1\/7 in decreasing order.\nAnswer: d, b, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 420*r + 10272*r**2 - 210*r + 7289*r**2 - 210*r as w + n*r + j*r**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16468 divided by -92\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 = -4*y, -y + 2*t - 8 = 2*y. What is the second derivative of y*k - 5*k + 3*k - 2*k**2 wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (325\/(-195))\/((-10)\/516). Suppose -o + 5*o = 64. What is the lowest common multiple of o and -81 + k + 3*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7014011 rounded to two decimal places?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -188 - -156?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1007\/(-38) - -7) + 14.\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(-2*v**4 - 23*v**4 + v**4).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -148090 divided by -2\nAnswer: 74045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -211213 + 211317.953. Let f = 0.175 + -105.175. Let v = g + f. What is v rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 12999 and 12989 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 64*p - 69*p + 45. Let i be (-12)\/p*(-3474)\/24. Let z = -123 + i. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0.3 (c) 11 (d) 1 (e) 2\/5 (f) -1583\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4656185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a meter in millimeters?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 2*p**2 + p - 3. Suppose -4*w - w = -2*b - 45, 16 = -b - 4*w. Calculate the remainder when b\/(-4)*(3 - 1) is divided by o(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/10*(-12)\/(-21). Which is the closest to 0? (a) m (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*i - 1687 + 1752 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*j - 9*j - 87*j = -1035 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35266446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000051746107 to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4422*h**2 + 7365*h**2 + 8*h**3 - 2.\nAnswer: 8*h**3 + 11787*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 8\/(-4)*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 12. Let w(t) = -3*t**2 + 2. Let m be w(-2). Let i be ((-24)\/36)\/(m\/4 - 0). Which is smaller: i or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/60 + (-2)\/(-5). Let s = -168 - -168. Suppose 3*z + 17 - 5 = s. What is the third smallest value in z, l, 0.2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22745*o + 1451951 - 1451951 to the form z + n*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 681078794?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 + 0)*6)\/(-56 + 58)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005591 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1294, 1, -276, -5 in descending order.\nAnswer: 1, 1\/4, -5, -276, -1294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -21*m**2 + 17*m + 5. Suppose 3*w = 12*w - 81. Let p(c) = -5*c**2 + 4*c + 1 - c**2 + 8*c**2 - 7*c**2. Calculate w*p(h) - 2*u(h).\nAnswer: -3*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s + 1248 = 75*s. Let u = -33 + 54. Let c = s - u. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/19 - 468*r**3\/19 - 1514*r**2\/19 + 21708*r\/19 + 22752\/19 = 0.\nAnswer: -8, -1, 6, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 71175 and 915.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 844*s - 1344*s = -907*s + 7326 for s.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 11213?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -86*v**3 + 2*v + 59. Let n(o) = -7*o**3 + 2*o - 1. Determine -m(d) + n(d).\nAnswer: 79*d**3 - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u - 116*u = 30*u - 2789250. Is u a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*z**2 - 1449*z**4 + 70*z + 51*z - 111*z - 4*z**2 - 84*z**2 wrt z?\nAnswer: -34776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/(-4704) + 4\/6*(-24)\/(-112).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201115)\/8468*4\/5?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2032.2 rounded to the nearest one hundred?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. Let l(u) = -u + 55. What is 2*a(x) + l(x)?\nAnswer: x + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/20020 and 74\/315?\nAnswer: 180180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igb. Give prob of sequence bi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g - 25 = 3*o, 4*o + 2*g = -16. What is the lowest common multiple of (0\/o - -1) + 1 and (4 - (1 - -2)) + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 353 in decreasing order.\nAnswer: 353, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 204 or 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 9468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35912 divided by -3?\nAnswer: 35912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -4147\/9 greater than or equal to -462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1045\/6, -1\/3, 51.483 in descending order.\nAnswer: 1045\/6, 51.483, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*i - 3*i - 4*i + (-1 + 0 + 2)*(5 + 6*i - 5) in the form x*i + d and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10612929\/109759 + -1257\/13. Are 1 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292 a factor of 1451702868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -4*n + 3. Suppose 0 = 2*o + 2*o + 12. Let h be b(o). Let q be (0 + -3)*2\/h. What is the closest to -2\/3 in 0.1, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 2) to base 3.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.24 + -36.2. What is the closest to -8 in -2\/7, b, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m + 11. Let b be h(4). Let y(r) = -r - 2. Let a be y(-4). Does 9 divide a\/b + 1413\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 23*y - 188 + 959 = -583, 0 = -2*o - o - y - 50 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/6)\/l)**(-1\/35)*((l*l**(-6))\/l)\/(l\/l**(-16)) assuming l is positive.\nAnswer: l**(-4831\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*y**2\/3 - 6514*y + 14224\/3.\nAnswer: -2*(y + 889)*(11*y - 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 - 983*k**2 + 467*k - 12317. Determine d(-492).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*k**3 - 201*k**3 + 99*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11003312111 - 2?\nAnswer: -11003312113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2994003338?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2626 is divided by 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 11:58 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 21*c - 1 + 21*c + 49 - 25*c. Determine a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.924205.\nAnswer: -0.924205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.006 + -0.029. Let a = 39209.9230047 - 39209.9. Let d = i + a. Round d to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 5*x - 6 = 10, 0 = -3*x. Let b = -32 - -31. Let w = -6 - b. What is the nearest to -2\/3 in s, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.99 - 67.99. Let w = 67.0000162 + u. What is w rounded to 6 dps?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 207 - 974\/5. Calculate the common denominator of i and 29\/(-2)*(-1 - 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.07 + -3.07. Let i = -0.044 - -0.344. What is the third smallest value in 1\/8, i, u, -0.4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*m - 4*m + 10. Suppose 3*j + 6 = -3*k, -2*j + 2*k - 5 = -j. Let u(l) = l**2 + 4*l. Let z be u(j). Is z at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-12 + 4 - -5) + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*c**2*t**4 + 75*c**2*t**2 - c*t**5 + t**4 wrt t.\nAnswer: 552*c**2*t - 60*c*t**2 + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qs when two letters picked without replacement from {q: 3, s: 1, b: 1, g: 9}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -221 - -225. Is o + (-7)\/28*-64868 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548944 is divided by 19605.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/3402 and 3\/7322.\nAnswer: 1779246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 + -0.3. Let y(r) = r**3 + 6*r**2 + 5*r + 9. Let h be y(-5). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, r: 4}. Give prob of sequence bbr.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.433 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v. Let d be p(-1). Suppose 0 = -3*s - 1 + d. What is the remainder when 23 + (-1 - -1 - s) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 14, -12, -52, -106, -174, -256?\n\"Answer: -7*w**2 + 9*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {h: 1, l: 4, k: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.016180421 rounded to 5 dps?\nAnswer: 0.01618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (450\/12)\/(1\/2344). Round u to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000111100 + -1011?\nAnswer: -100001000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017679 rounded to six dps?\nAnswer: -0.000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 336. Let r be x(0). Suppose 6*f - r = 180. Is f a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 3380?\nAnswer: 30420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -143900, 36, -0.3, 0.1 in decreasing order.\nAnswer: 36, 0.1, -0.3, -143900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -16*g - 42. Let j be c(3). Let h = j + 98. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -168 - -468. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650230 - 31318 = 48*u. What are the prime factors of u?\nAnswer: 2, 3, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/1160 and -55\/445904.\nAnswer: 2229520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1292 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 + 1)*(-14672*t - 107*t**3 + 14672*t).\nAnswer: -749*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2 + 17*q - 25. Let k(p) = 2*p**2 + 3*p - 4. Give 34*k(c) - 6*u(c).\nAnswer: 2*c**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16995.4 rounded to the nearest ten?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s + 9. Determine x(16).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3030)\/(-8) + 1\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6080, 5, 2\/19, -3?\nAnswer: 6080","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 460\/96841 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 559799?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/24 + 4*p**3\/3 - 5*p**2. Calculate the remainder when 23 is divided by h(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4 - 13. Let p be (-384)\/(-18) - (-6)\/c. Is 4\/p - (-15771)\/77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**5\/13 - 114*d**4 - 4434*d**3\/13 - 4430*d**2\/13 - 1476*d\/13 = 0.\nAnswer: -738, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 5, w: 1, n: 3, e: 1, u: 1}. What is prob of picking 1 w and 1 e?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)*x*x)**(2\/161) assuming x is positive.\nAnswer: x**(15\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -133013 (base 4) in base 12?\nAnswer: -119b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - d + 2. Let x = -2 + 0. Let a(l) = l**2 + 4*l - l**3 - 3*l + 679 - 680. Let w(t) = x*b(t) - 4*a(t). Determine j, given that w(j) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/159 and -89\/212?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 237*q + 4. Let x(j) = 31050*j + 525. What is -525*c(d) + 4*x(d)?\nAnswer: -225*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2030c + -a2?\nAnswer: -203ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1 = 3*c, -5*c + 0*h + 0*h - h = 9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.70825913 and 0.189.\nAnswer: -2.51925913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*q + 12, -2*z - z - q = 32. Let x be (-30)\/z*24\/20. Let o(h) = 2*h - 6 + x - 5*h. What is o(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 104390*f**3 - 38*f**2 - 1702 wrt f.\nAnswer: 626340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 654097, 654305, 654511, 654715, 654917, 655117?\nAnswer: 655315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.32 (b) 1.3608 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 302, 713, 1300, 2063, 3002, 4117?\nAnswer: 5408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from {g: 1, s: 1, a: 2, u: 2, m: 1, y: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 228267.5873 to the nearest 10.\nAnswer: 228270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**4 + 2158939*y**2 - 4*y - 713825196.\nAnswer: 16*y**3 + 4317878*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007737 rounded to seven dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*u**3 + 176*u**3 - 41*u**3 - 49*u**3 - 45*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-12)*-2 - (-63)\/182. Let k = 9\/26 - g. Factor -3\/2 + k*b**2 + b.\nAnswer: (b - 1)*(b + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -595.5.\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(330) + sqrt(330) + (sqrt(330) - 1*sqrt(330))))\/(-2*-1*sqrt(11)))\/((sqrt(294) + sqrt(294) + 4*4*sqrt(294))*-3).\nAnswer: sqrt(5)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + 10?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2\/11477995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -12, -3*p = 2*f - 0*f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7490.1 to the nearest 10.\nAnswer: -7490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16816 (base 9) in base 16?\nAnswer: 2d4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhhhjhj. What is prob of sequence jh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425356 - 26356 = -84*o. Are o and -4750 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen tenths of a decade in years?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89376 and 150480?\nAnswer: 14747040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, w: 8}. What is prob of sequence zwzz?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232*k - 485 = 443 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-44))\/(1\/4). Let g be 4\/(-10)*(-15)\/54. Which is the nearest to -1\/3? (a) g (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-194 - (-64 + -30)) + -9\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 405?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352848*s**3 + 352875*s**3 - 1058604*s**3 + 352877*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.316 + -35.716. Which is smaller: i or 118?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 201 - (165 + -52) - -16.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6039 and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 49*c + 580. Give x(-13).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6504.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 400 = -54*s - 432 for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 minus -0.5?\nAnswer: -467.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 5*c - 7*c**2 + 3 - c**2 - 3 + (-c**2 - 2*c**2 + 2*c**2)*(-18 + 16 - 34) as o + w*c**2 + f*c and give w.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -4\/5, 1417, 0.2, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29873 is divided by 29870.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.321 + -0.221. Let p be (-2)\/(-12) + 52\/(-24). What is the nearest to h in p, 1.6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 29. Suppose 0 = 5*k + 3*y - r, -2*y - 1 = 3. Suppose k*l - 3*n = 4493 + 3898, 2*n = -l + 2106. Round l to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 + 76. Let u = -188 + 402. Let m = y + u. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 2*x + 12, -4*x + 38 = -5*v + 10*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17797428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 (base 10) in base 2?\nAnswer: -111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -698, -701, -714, -743, -794?\n\"Answer: -c**3 + c**2 + c - 699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -9 in decreasing order.\nAnswer: 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -257231, -257245, -257285, -257363, -257491?\nAnswer: -257681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -545*t. Let v(w) = 3*w + 54. Give v(u(h)).\nAnswer: -1635*h + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.467 + 0.66. Let x = -206 - -205.907. Let q = l + x. Which is the closest to 4? (a) 0.2 (b) 1\/11 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-211 - -232) + -14 + -1 + (-2 - -5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 0*(-5)\/15. Let c = l + 13. Solve 3*d - 6*d + c = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 5*w - 3. Suppose 0 = 3*b - 2 - 10. Let n(f) = 11*f - 7. Let x(h) = b*n(h) - 9*s(h). Suppose 19 + 51 = 14*m. Determine x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1631*u + 1613*u + 95*u**2 - 3242*u + 18 in the form g + k*u**2 + l*u and give k.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16578269 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -63990001*v**3 - 9*v**2 + v + 9. Let i be h(1). Round i to the nearest one million.\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2631 - 104*w - 2635 + 7905 - 2639.\nAnswer: -104*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/v**(-7)*v*v**(2\/71)*v*(v\/(v*v**(-4))*v)\/(v*v\/v**(-42\/11)*v*v))**30 assuming v is positive.\nAnswer: v**(192360\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from {g: 3, h: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 6144*v**2 + 70*v - 69. What is the tens digit of l(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1\/495017919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - (-2 + -3 - (17 + -23 + -119))) + 2.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1338.8 - -1339. Suppose -4*u = 4*n - 12, 3 - 40 = -3*u + 4*n. What is the fourth biggest value in c, -4, 3\/5, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48973 plus -5428?\nAnswer: -5427.51027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y. Suppose 0*s - 260 = 13*s. Let z be (-12)\/(-10)*s\/(-12). Let p(i) = 0*i**z - 5*i**2 + 5*i**2 - 8*i**2. What is v(p(k))?\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 10*q - 9. Calculate l(13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**3 - 32*n**2 + 198*n - 252 = 0. Calculate n.\nAnswer: -21, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + -5404949?\nAnswer: -5404948.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -38, -76, -114, -152, -190?\n\"Answer: -38*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-15)\/(-35))\/((-2)\/(-14)). Suppose -3*f + 2*k + 12 = 0, k + 0 = -t. Let c = f - 13. Is -13 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -165 + 164.16. Let w = 0.64 + i. Let f = -209\/5 + 42. Sort w, f, 3\/2, -0.4 in decreasing order.\nAnswer: 3\/2, f, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 114867 and 2313?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*q = -41*q + 22. Let j(t) = -11 - 9*t**2 - t**3 - 4*t**3 + 3*t**3. Let l(h) = h**3 + 5*h**2 + 6. What is q*l(z) + 6*j(z)?\nAnswer: -z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 46 - 10. Calculate the remainder when 31 is divided by b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*q**2*s**2 - q**2 - 21*q + 2*s**3 wrt s.\nAnswer: -28*q**2*s + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16*21.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2911 is divided by 105.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -m**3\/3 + m**2\/2 - 3200000*m + 3. Let r be o(0). What is r rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 - -0.4. Let f = -0.4 + g. Let y = f - 0. Sort -0.1, y, 5 in ascending order.\nAnswer: y, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 22. Let w(x) = -7*x + 1. Give w(a(j)).\nAnswer: -14*j - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 100*s**2 + 869*s + 42. Give z(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Let v = -4 + y. Find the first derivative of -2*g + 2*g**v + 2*g + 1 - g**3 wrt g.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*r - 394*r + 181*r + 110*r.\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 4\/3*b - 1\/27*b**6 - 4\/9*b**3 - 7\/9*b**2 + 189 + 0*b**5 + 4\/9*b**4. Suppose w(r) = 0. What is r?\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5830 - -416106?\nAnswer: 410166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4, 14, 38, 76, 128, 194, 274?\n\"Answer: 7*x**2 - 11*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -207 - -199 - (0 + 5).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pwdj when four letters picked without replacement from djnndnwppwjjwp?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 3, -3*g + 24 + 33 = 5*w. Let l = 857 + -395. Suppose s - 4*s + l = 0. Calculate the greatest common factor of s and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 3*s - 17, -z - 11 = 2*s - 5*s. Is 38 a factor of (-4)\/(-5 + z)*38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3916703 is divided by 2570?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 2*d = -3*d + 24, 5*s - 5*d + 30 = 0. What is the closest to 49 in s, -3, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**2 - 7*r - 6. Suppose -222 = -95*y + 823. What is the remainder when x(7) is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/16, -0.05, -5, 88 in ascending order.\nAnswer: -5, -0.05, 3\/16, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -138, 768, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/4 + (-5)\/((-20)\/1). Suppose u*v + v + 4*n = 0, 2*n = 2*v - 10. Suppose v*k - 371 - 669 = 0. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4517\/21 + -215. Suppose 2*y + 3*w - 6 = -y, 2*y + 5*w = 10. Is r >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 + -49. Calculate the greatest common factor of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 64*f**2 + 631*f - 908. Let i be y(10). What is k in 0 - 1369\/6*k**i - 37\/3*k**3 + 0*k - 1\/6*k**4 = 0?\nAnswer: -37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 372759587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:23 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 3*c - 104. Solve 4*t - 5*b - c = 0, -b - 6 = -3*t - 4*b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1188 and 0.6?\nAnswer: 1188.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 1736 + 419. Suppose 0 = c - 4*v + 247, -3*c + 4*v + i = 1212. What is the tens digit of c*(-3 - (-40)\/15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 PM and 12:26 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21988 and 234278.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - z + 1. Let a be l(3). Let q(u) = -u**2 + 3*u + 13. Let v be q(a). Is -2*5\/15*v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 21 = 4*a, -1442*t = 3*a - 1443*t + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-28)\/y*y*y*y)**(2\/35)*y**(-3\/8)\/y*y\/y**(-22) assuming y is positive.\nAnswer: y**(5639\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2543\/((-1)\/(164\/(-12))) + (-37)\/111?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8190665, 16381328, 24571999, 32762684, 40953389, 49144120, 57334883?\n\"Answer: g**3 - 2*g**2 + 8190662*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-11)*s)\/s*s)\/s**(7\/3)*(s**(-4)*s)**(-10) assuming s is positive.\nAnswer: s**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -887, -885, -883, -881, -879, -877?\n\"Answer: 2*u - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 5*h - 3 - 1, 0*t + 95 = -t + 3*t - 97*h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9\/85, 1\/4, 125 in ascending order.\nAnswer: -5, -9\/85, 1\/4, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1724622942 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 s, and 1 i when four letters picked without replacement from soiossosisi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 7628.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 0*c - 6 = 0. Is (-3 + (-49)\/(-14))\/(c\/(-3602)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 + 12180*l**2 + 7957200*l + 1429560000.\nAnswer: 3*(l + 380)**2*(l + 3300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e - 3983b?\nAnswer: -3981c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*w + w + w + (2*w - 6*w + w)*(1 + 0 + 0))*(-4 - 6*w + 6*w + w**3) as x*w + p*w**3 + j*w**4 + b + a*w**2 and give x.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r*s**3 - 77*r*s**2 + 2*r*s*x + 12*r*x - 24*x wrt s.\nAnswer: 3*r*s**2 - 154*r*s + 2*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161235 and 1710?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -437*s - 18786. Calculate l(-43).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - p + 0*p)*(-363 + 923*p - 380 + 747)*(-3*p**2 - p**2 + 3*p**2) to n*p + o*p**4 + v*p**3 + r + g*p**2 and give o.\nAnswer: 923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -1)*2 + -83. Let j = 342 + o. Suppose 3*m = 5*u - j + 24, 0 = 3*u + 3*m - 147. Calculate the highest common factor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70221 and 447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, r: 2, i: 3, q: 1}. What is prob of picking 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 431970 (b) 4 (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11341.\nAnswer: 11, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 184962941 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(567\/(-24))*(-3)\/(-4). Does 0.2 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147.1 times -23?\nAnswer: -3383.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 12*c**3 + 112*c**2 - 237*c + 6. What is i(-11)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8*h + 14. Determine w(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 2*c - 4*c)*(53 - 53 - 32*c)*(-2 - 2 + 5) + (-3*c + c + c)*(-37471 - 478*c + 37471) to the form b + o*c + n*c**2 and give n.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 + 4*j**2 + 2*j - 3. Let u be d(3). Let h(n) = 3*n**2 + 4*n - 5 + 5 + 5 - 1. Let m(b) = -12*b**2 - 15*b - 15. Give u*h(g) - 4*m(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 + -25. Let w(j) = j**2 + 5*j - 8. Calculate the smallest common multiple of 2\/a - 158\/(-14) and w(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m - 5*h + 30, 971*m - 991*m - 3*h - 143 = 0 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37544 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(512) + (sqrt(512) + sqrt(512) + sqrt(512)*-1 - sqrt(512))) + 0)*6.\nAnswer: 3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36332*a = -36198*a + 3350 for a.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 495 = -8*f. What is the remainder when f is divided by (-44)\/242 + 268\/22?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1866 = -4*h - 22. Suppose -3*t - 4*s = s - 511, 3*t - 5*s - h = 0. Calculate the greatest common divisor of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 6 = -4. Suppose 0*n + n = r. Suppose -m = -n - 2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 8*v + 18. Let l be (120\/(-16))\/(1\/(-2)). What is the common denominator of (-3)\/(4 + 2) + l and k(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 255 and 4485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -544228 - 2?\nAnswer: -544231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -0.9. Let l = -40240 + 362162\/9. Which is the nearest to -17? (a) l (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16071, -123942, -416733, -986904, -1926915?\nAnswer: -3329226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3*c + 234, q - 5*c - 272 = -28. Suppose -3*w - q = -6*w. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7391 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 28.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2108408 to the power of 1\/2, to the nearest integer?\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -3*h + 177, 9*m - 9 = 6*m. Suppose 0 = h*l - 51*l - 711. 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 182200 to the power of 1\/2, to the nearest integer?\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-186116)\/(-272) + 3\/(-12) is divided by 174?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 350 + -245. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1078, -2642, -4694, -7240, -10286, -13838, -17902, -22484?\nAnswer: -27590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 0 (c) -2 (d) 2 (e) 2\/271 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 67*i**3 - 14*i**2 - 75*i. Let j(v) = 44*v**3 - 10*v**2 - 50*v. Calculate -5*a(c) + 7*j(c).\nAnswer: -27*c**3 + 25*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -14318, 1, -0.2, 5, -2, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 511*a - 1531*a + 84*a**4 + 512*a + 105 + 509*a wrt a.\nAnswer: 336*a**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 518335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n**3\/4 + 191*n**2\/2 - 217039*n\/4 - 608080 = 0. Calculate n.\nAnswer: -691, -11, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t + 1. Let h be o(-1). Let x be (1 - h)*1\/(-3). Let r be 0\/((-9)\/(-5 - -2)). Which is smaller: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -206 (b) -0.5 (c) -3 (d) -2 (e) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 5*z - 5*z + (-6 + 6 - 6*z)*(-4 + 4 - 7) + (-1 + 3 + 0 - z)*(-3 + 0 + 2) as q*z + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (((-9)\/30)\/(15\/(-375)*30))\/(1\/(-7))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 3*c**2 - 2. Let q be i(-3). Let h = 4 + q. Find the second derivative of o**3 - o**h + o**2 + 2*o wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - h. Let i be v(-1). Let o(n) = -4*n**2 + 5 + 6*n + n**2 + 0 + 2*n**3 - 2*n**i. Let g(q) = -q**2 + q + 1. Calculate 5*g(u) - o(u).\nAnswer: -2*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, 51\/77, 38660?\nAnswer: 51\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13517.626 + -13546. What is a rounded to 1 dp?\nAnswer: -28.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/11 and 103\/60458.\nAnswer: 665038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 8. Let k be o(6). Suppose -13 = -k*n - g + 26, -3*g = -n + 30. Which is greater: n or 20?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -75 - (30 + 78 + -94).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 111 times -1\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/6 + 7*j**3\/6 + 5*j**2. Find the first derivative of i(x) wrt x.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1238 - 1238.411. Are g and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (484\/1694)\/((-52)\/(-91)*4\/86).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/7)\/(-5))\/(120\/168)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -10.51.\nAnswer: -557.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 + 95087?\nAnswer: 95086.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 261048?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*t - 3*u + 16, 5*t + u + 49 = 0. Let g(k) = 7*k**2 + 16*k - 11. Let r(m) = 10*m**2 + 24*m - 17. Let f(z) = -7*g(z) + 5*r(z). Determine f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*k - 57 = 15*h, 14 - 6 - 6 = 4*h + 3*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y. Suppose -19 = -2*n - 3. Is 34 a factor of h(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -11. Suppose 0 = a*g - 127 - 201. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 221986312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -19. Let b be (-5280)\/(-10)*250\/s. Round b to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -388042 - -33?\nAnswer: -38800a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 14847004 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: Let u(t) = 17*t**2 - 12*t - 24. Let i be u(-5). Let h = i - 365. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 7. Let d(n) = n**3 - 7*n**2 - 25*n + 51. Let j be d(9). Determine q(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/3 + (-11)\/(-3). Suppose -2*a = -3*r - 18, -5*r + 0*r - 14 = 2*a. Sort w, -3, a.\nAnswer: -3, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -233 - -368. Is 10 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + 2359*x + 4 = 2355*x, 4*q = -x + 39 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(5 + -11). Let l = i - 6. Let f = 8 - l. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1549 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 30 = 4*z. Suppose -5*s + 4 = -z. Suppose -s*q + 3*k = -4*q + 141, 3*q - 3*k = 189. Calculate the highest common divisor of 6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 7, 18, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -3*h**4 + 54*h + 133. What is the derivative of p(s) wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8617832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1149684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 317, 548, 699, 740, 641, 372, -97?\n\"Answer: -5*y**3 - 10*y**2 + 296*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*l - 28*l + 420. List the prime factors of l.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*z**4 + 6*z**3 + 12*z**2 - 10*z.\nAnswer: -2*z*(z - 1)**2*(4*z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.969130059 rounded to three decimal places?\nAnswer: 3.969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -7*j**7\/90 - 7*j**6\/20 - 109*j**5\/180 - j**4\/2 - 2*j**3\/9 + 4*j**2. Factor n(x).\nAnswer: -(x + 1)**2*(7*x + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**8\/336 - 623*q**5\/60 + q**4\/8 - 80*q**3\/3 + 11*q**2 + 2*q. What is the second derivative of m(r) wrt r?\nAnswer: -20*r**3 - 1246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12202221120001 + 11?\nAnswer: 12202221120012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/20 + i**4\/4 + 7*i**3\/6 - i**2 - 48*i. Give k(5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 648 = 255 + 273 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, s: 3, g: 1, w: 4, k: 1}. Give prob of picking 1 g and 2 w.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445774 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, y: 1}. What is prob of sequence ppy?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/8)\/(23\/1196) + -2.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 10:09 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 745837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 374, -0.03, -0.9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((-135)\/(-270)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1053*w**6 + 2*w**5 - 28*w**3 + 1776355*w**2 wrt w.\nAnswer: -126360*w**3 + 120*w**2 - 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12*6\/2594. Let a = z - 73921\/5188. Let h = 173\/15 - 4\/3. Calculate the common denominator of a and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 16*d - 53. Let v be m(3). Solve v*y + 285 = 277 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -4*r**2 + r - 2. Suppose -5*i = -6 + 11. Let a be (1\/(-5)*i)\/((-2)\/(-10)). Determine q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.25 + -0.15. Let j be 2\/6 - 1\/3. Let z = 5 - j. Which is the second smallest value? (a) 2\/7 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -68, -64, -60, -56, -52?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60496816 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 346*r**2 - 2372*r + 2068. Give n(-339).\nAnswer: 1729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 - -1002?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64.561 - 68.81. Round j to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 14224404?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -10.19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in 1\/3, 2\/19, -1.55, 2\/3?\nAnswer: -1.55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 3 in decreasing order.\nAnswer: 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4328 divided by 2\nAnswer: -2164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**3 + 9 - 7 - 3 + 2*p**4 to k*p**4 + u*p**3 + c*p**2 + f*p + a and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9561 = 5*g - 3*m - 96379, 0 = 2*m - 10. Suppose r - 204 = u + 6848, 4*u - g = -3*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from jijijjiiiqiijiqq?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1743664.99587 and 3?\nAnswer: 1743667.99587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 20 + 5 = 0, -5*k = q. Let u = -16 - -16.4. Let i = u - 0.5. Which is the second biggest value? (a) k (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18098333 and 1047011.\nAnswer: 126688331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*n**5 + 393640*n**2 + 136666*n - 4 wrt n.\nAnswer: -260*n**3 + 787280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 2:11 PM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8, -6, -24, -46, -72, -102?\n\"Answer: -2*z**2 - 8*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*o**4 - 2*o - 150 wrt o?\nAnswer: -56*o**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h + 51 = -81 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*l**2 + 91*l**2 - 51*l**2)*(3*l**2 - 3*l**2 - l**2) + (0*l**4 - 2*l**4 + 0*l**4)*(-2 - 2 + 3).\nAnswer: -21*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 3*k + 1. Let r be d(1). Let l = -0.129 - 4.871. Let f = 0.1 + -1.1. Which is the nearest to f? (a) r (b) -3\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -4*k + 13*l + 25, -5*l = k + 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16501 rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 41*z**2 + 8*z + 74. Let b be h(-20). Suppose -40*j = -34*j - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suus when four letters picked without replacement from usus.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(180)\/sqrt(6) + sqrt(30) - (sqrt(30) - 2*sqrt(4320)))*3)\/(-5*5*4*(sqrt(250) + (sqrt(250) + 2*sqrt(250) - sqrt(250) - sqrt(250)))).\nAnswer: -3*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.066149 - -3.303551. What is z rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 6*c**2 + 6*c - 1. Let f be (-2)\/(-5) - 2\/5. Let n(h) = -h**2 - 13. Let t be n(f). Let q = -18 - t. What is x(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 - 5*q**2 - 17 + 4*q**2 + 82 - 9*q**3 + 3*q**2.\nAnswer: -3*q**3 + 2*q**2 + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/11)\/b**8*b\/(b\/b**(1\/10))*b*(b\/(b**(9\/4)*b))\/b*b*(b**0*b**(-4))\/(b*b*b\/(b*b**(-1)\/b*b))**31 assuming b is positive.\nAnswer: b**(-23373\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96926, 97083, 97240, 97397?\nAnswer: 97554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**4\/12 - 2*k**3\/3 + 3*k**2. Let b = -15 - -35. Suppose 0 = -2*t - 3*t - b. Determine v(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**1*w*w\/w**(-3\/7)*w)**(-10)\/((w*w**(-4)\/w*w**(-3)\/w)\/((w\/((w\/(w*w**(-3\/4)*w))\/w))\/((w*w\/(w\/(w*w\/(w\/w**6)*w))*w*w)\/w))) assuming w is positive.\nAnswer: w**(-1513\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 41*r - 311. Let w be d(-31). Let h(q) = -21*q**2 - q - 3. Give h(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16134 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -63986437 + 187.\nAnswer: -63986250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 588.9 - 589. What is the closest to -2\/3 in n, -3, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 6*v**3 + 0*v**3 + (-3*v**2 + 2*v**2 + 3*v**2)*(3 - 3 + v) + 6*v**3 + 3*v**3 - 5*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 0.15 (c) -5 (d) 1\/17 (e) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.4. Let l = 566.7 + -609. Let n = 42 + l. Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2125*g**3 + 2*g. List the prime factors of a(-1).\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2, 1.97?\nAnswer: 1.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4666920173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k**2. Let c(d) = 5367*d. What is v(c(i))?\nAnswer: 86414067*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(z**2 + 0*z**2 - 8*z**2) - 11 + 11 - 45*z**2.\nAnswer: -59*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*w**2 - 83*w**2 + 33*w**2 + 25*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jsjjsssjjjjjs. What is prob of picking 4 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-3))\/((-4)\/3). Let o = -64 + 131\/2. What is the second smallest value in o, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-692)\/(-519)*(-9)\/(-2)*(-22)\/20.\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5 + i + 0*i**5 + 6*i**2 - 4*i**4 + 3*i**3 + 3*i**2 - 13*i**2 + 3*i**3 = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 + 260*j**3 + 1674*j**2 - 480816*j + 2328480.\nAnswer: 2*(j - 33)*(j - 5)*(j + 84)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/(-6) + 5)\/(2\/(-54)). Let g = 6 - w. Find i such that -282*i**3 + 29 - 5 - 111*i**2 - 66*i**4 + g*i - 117*i**4 - 30*i**5 + 27*i = 0.\nAnswer: -4, -1, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19872 and 1219552.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -1\/70*s**7 + 1\/60*s**5 + 2*s**2 + 0 + 0*s**4 + 0*s**6 + 0*s**3 + 0*s. Find the third derivative of o(w) wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y - y - y)*(-60 - 51 - 45).\nAnswer: -156*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 + 5. Let s be l(4). Suppose -s = -2*q + q. Suppose -q*b - d + 282 = 0, 5*b - 3*d + 2*d - 288 = 0. Is 18 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3773*a + 6677*a - 3674*a.\nAnswer: -770*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -39. Let l = f - 4. Find the third derivative of -8*g**3 + 16*g**2 - 6*g**2 - 22*g + l*g wrt g.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -618*j - 44*j = 262*j + 4620 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 411461553 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 comes next: 819267, 819323, 819375, 819423?\nAnswer: 819467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.03, 1, 0.1, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -13. Let t be (-2)\/d + (-55)\/(-25) + -1. Suppose -4*b - t - 97 = -g, 0 = 2*g - 3*b - 211. What is the highest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000307041533 to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*z - 33617 = 4831, 2*p - 76887 = -5*z. Is 1\/(12824\/p + 3\/(-9)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 11:41 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Is 5 + (-12)\/f + 751 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 10, -2*t + 9 + 10 = 5*v. Let s be (-2)\/((-1)\/t - 1). Factor -w**3 - 3 - 8*w**3 + s*w**4 - 6*w + 11*w**3 + 4*w**3.\nAnswer: 3*(w - 1)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19967.\nAnswer: 41, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3609494859?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-7))\/((-3)\/1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -128, -388, -830, -1460, -2284, -3308?\n\"Answer: -x**3 - 85*x**2 + 2*x - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2 + 138*x - 136 = 0. Calculate x.\nAnswer: 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58 and 62025403.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (3*sqrt(320))**2) + (5 + sqrt(40)\/sqrt(8) - (sqrt(5) + 1 + 1)).\nAnswer: -2878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188885433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.034 * 0.82\nAnswer: 0.02788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 3. Let w = -10 + 3. Let m be w\/14*0\/(-1). Determine f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1632754*u + 4*k = -1632746*u + 8, -5*u + 25 = 4*k + k for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4*i**2 + 10*i - 16. Let b(n) = 5*n**2 + 12*n - 18. What is 6*b(v) - 7*q(v)?\nAnswer: 2*v**2 + 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288 divided by 213482?\nAnswer: 1144\/106741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3, 2\/3, 43\/5 in ascending order.\nAnswer: -2\/3, 2\/3, 3, 43\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3933515463 to the power of 1\/2, to the nearest integer?\nAnswer: 62718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 11:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 0*i**2 + 5*i + 0*i**2 - i**2. Suppose -197 = 55*j + 6*j + 291. Let x(c) = -2*c**2 + 8*c. Calculate j*k(t) + 5*x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 3132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0804437 to three decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 11 + 2)*(-q**3 + 2 - 2) + (q + 3 - 3)*(-62 - 34*q**2 + 62) + 2*q**3 + 0*q**3 - q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12020338.\nAnswer: 2, 11, 37, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17787?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 - r**2 + 5. Let k(g) = -273*g - 1359. Let d be k(-5). Let y(x) = -x**3 - x**2 + 1. Give d*y(t) - z(t).\nAnswer: -2*t**3 - 5*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 15514404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p - 23 = -3*j, p = -4. Let g be ((-4)\/(-6))\/(j\/(-6)). Let d be ((-10)\/g)\/((-6)\/(-24)). Solve -6*k + k = d for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 303 - 3331\/11. Which is the biggest value? (a) 1\/5 (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6949896?\nAnswer: 2, 3, 19, 15241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 10:06 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4547687033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 209, 392, 627?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140942.\nAnswer: 2, 19, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2589012 (base 10) to base 15.\nAnswer: 3621ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0241161 and -0.1.\nAnswer: 0.00241161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2*sqrt(108)*3)**2 - (-2*(sqrt(108) + -1)**2 + (sqrt(108) - (-2 + sqrt(108) + -1))**2).\nAnswer: -24*sqrt(3) + 4097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2 + 11*n - 9. Let o(k) = 5*k**2 - 11*k + 10. Let q(c) = 5*o(c) + 4*p(c). Let d be q(11). What is the greatest common divisor of d and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497807 a multiple of 1540?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6209235456?\nAnswer: 2, 3, 4042471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0 = -12. Let v(a) = -a**3 + 3 + a**2 - 5*a**2 - n. What is the least common multiple of v(-5) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 59, 106, 155, 206, 259?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 0.2, -5, 2\/11, 2010.3.\nAnswer: -5, -0.02, 2\/11, 0.2, 2010.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + t - 4*t + 2*t)*(-1024 + 263 - 203 - 687).\nAnswer: 1651*t - 4953","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*v - 4*v - 13 + 13 to g*v + w and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 13 = y, -42*y + 4*o + 29 = -45*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2939, 6981 in descending order.\nAnswer: 6981, 2939, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 173137 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 1253707275 and 11422?\nAnswer: 5711","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1525355*h**3 + 2*h**2*i + 16*h - 224615164*i wrt h?\nAnswer: 4576065*h**2 + 4*h*i + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 e when three letters picked without replacement from vaaeeavaaavjaaavjaj.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 640 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3320 + 3580. Solve -2*j = 266 - x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 172\/(-2)*-1*(-1)\/(-2). Suppose -u + 20 = c, 0*c = -2*u - c + r. Solve 0 = -2*d + 5*y - u, 3*d + 6*y - y - 3 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, -2, -1, 2, 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2 - 7*x**2 + 20*x**2 - 10*x**2 + 10*x. What is the remainder when 28 is divided by z(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g + 166 + 167 - 333. Let j(m) = 10*m. Give j(c(l)).\nAnswer: 150*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 513530483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(252)*2)**2*1 + sqrt(252) - (sqrt(252) + ((sqrt(252) - (-1 + sqrt(252)))*-2 - sqrt(252)))**2).\nAnswer: -1004 - 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 785 divide 4091607615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 138942723 to the power of 1\/2, to the nearest integer?\nAnswer: 11787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:53 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73\/195 - -1\/39. Let x(f) = f**2 + 7*f + 6. Let b be x(-5). Let t = b - -4. Is t at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b - 1393 + 7857 = 128*b. Solve -b = 84*n - 92*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -238, -208, -146, -34, 146, 412, 782?\nAnswer: 1274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6975*s + 20164*s - 6851*s - 6829*s.\nAnswer: -491*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 3891700 to the nearest one hundred thousand.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11231 is divided by 342.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/3))**(1\/11)*(l\/(l**(2\/3)*l))\/(l\/l**(-5)) assuming l is positive.\nAnswer: l**(-74\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/16 + 1\/4. Let l(s) = -s - 1. Let u be l(j). Let w be 5 - 3 - (1 + u). Solve -w*d + 0*d = -8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*x + 14 - 14 - 5*x**2 in the form q*x**2 + a + b*x and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -3. Let b = -4.5 + i. What is the closest to 1 in -0.1, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(125) + -1 + -1 - sqrt(125))**2 + sqrt(125) + -5)*-5.\nAnswer: -75*sqrt(5) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (2*-1*sqrt(450) - sqrt(450)) + 0 + (-1 + sqrt(450) + 5)*1)**2 + 2.\nAnswer: -540*sqrt(2) + 1883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5453219836.\nAnswer: 2, 1363304959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3294 + 27 = m, 4*m = -12. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 22. Suppose 7 = -3*h - 4*a, -4*h + 0*a = -2*a - w. What is the first derivative of -h - 17*p**3 + 3*p**3 + 13 - 2 wrt p?\nAnswer: -42*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -2251\nAnswer: -46\/2251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83 - 267. Let v be 408\/l + 8\/28. Let y = v - -248\/225. What is the common denominator of 25\/8 and y?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 3)*(8 - 16 - 3) + 3 - 3 - 2)*(-13*d - 15*d + 13*d + (0*d + 6*d - 3*d)*(-1 + 4 - 1)).\nAnswer: -180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l - 3. Determine k(-13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 4*j + 1. Let l be w(-5). Suppose -2*p = 3*v - 36, 5*p = 3*v + 10 + 59. Calculate the greatest common factor of l and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 392b + -1?\nAnswer: 392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5553592)\/64)\/(-11) + -1 + 0. Let o = 7876 - m. What is the common denominator of o and 51\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k. Let b(f) = -f + 12. Let p be b(6). Let x(c) = -10*c. Let s(i) = p*x(i) - 55*g(i). Let t(y) = 31 - y**2 - 31. Calculate t(s(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 0*y - 520002 = -2*y, -y = -5*d + 649999. Round d to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27704 or -27717?\nAnswer: -27704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -13\/24, 0.1, -2, 5\/4?\nAnswer: -13\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7.84086 litres?\nAnswer: 7840.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(8\/7)*(-82860)\/261009?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344865202 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 2\/13, -5.068 in ascending order.\nAnswer: -5.068, 2\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -5590972 and -5590976 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2744 - 2744 + 8*i - 3*i + 6*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 - 44*i**2 - 2041*i + 1874. Determine n(72).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 15.42587 milligrams?\nAnswer: 15425.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -463610.6 rounded to the nearest 10000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p. Let q(k) = -6*k. Calculate d(q(x)).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1120 is divided by 62.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-75141)*-46)\/((-2)\/3)?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.02927 (b) 0 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12792, -51171, -115136, -204687, -319824?\n\"Answer: -12793*t**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l + 6 = 0. Let o = -23 + 29. Suppose 7*a**2 - o*a + 8*a + 8*a**3 + l*a**4 + a**4 = 0. What is a?\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**4\/4 + 3*p**3 - 9*p**2\/2 + 11*p + 4. Let i be q(8). Which is smaller: i or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 198312401?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -304*t**3 - 8*t**2 - 30*t + 1. Let q(z) = -455*z**3 - 11*z**2 - 42*z + 1. Determine 7*k(r) - 5*q(r).\nAnswer: 147*r**3 - r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - (3 + -3 + -1 - ((-2 - 5) + 3)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -1\/4 (c) -829 (d) -8 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/19 (b) 5\/8 (c) 77\/323 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + (-21)\/12)\/(3\/(-12)). Solve 3*m - 12 = k*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 18983.\nAnswer: -13\/18983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*d**4 + 1 + (-d + d + d**2)*(-657 + 657 + 181*d**2) to the form m*d + j + a*d**2 + u*d**4 + w*d**3 and give u.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -13.6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101010001010110110 (base 2) to base 10.\nAnswer: -697014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20433 and 6321?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**4 + 26868*z**3 + 26844*z**2 - 134308*z + 80592 = 0 for z.\nAnswer: -6716, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3150*q = 22129 - 113878 - 12201 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -29, -43, -73, -125, -205, -319, -473?\n\"Answer: -a**3 + a**2 - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 27 = 2*d + 7, 0 = s - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 797809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (-2 + -2)*1. Suppose -2*o = -g*s + 15, 5*s + 2*o + 5 = -0. Let f(z) = 14 - 2 - 13 + 2*z + 2*z. Give f(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5*k - 5*s - 19, 20 = 4*k - 4*s. Let r = k + 1. Sort r, -2\/9, 2\/13 in decreasing order.\nAnswer: r, 2\/13, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345*n**2 - 1343*n**2 - 77*n + 103*n + 727*n.\nAnswer: 2*n**2 + 753*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/14 and -19\/182318?\nAnswer: 1276226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 668*y + 13874. What is j(20)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 11*w + 8. Let o be g(7). Let i = 62 - 32. Suppose -109 = -4*y + 3*j + i, -3*j - 3 = 0. What is the greatest common factor of o and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x + 70. Let s be v(18). What is the greatest common factor of 64 and s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 + 3*q + 3. Suppose 12*b - 1576 = -1636. What is j(b)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -304607.438 rounded to the nearest 10?\nAnswer: -304610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1202713970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 21 - y**2 + 2*y**2 - 37 + 1. Give a(0).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08271 times 1?\nAnswer: -0.08271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101000 - 11011?\nAnswer: 100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -505254 by -787.\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 945*w**4 - 7*w**3 + 2*w**2 + 248*w + 2115.\nAnswer: 11340*w**2 - 42*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1644)\/9 + -2)\/(8\/(-12)). Let b = v - 181. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 77.7?\nAnswer: -85.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (51678\/(-960))\/(-9) - (0 - -6). Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10531 = -a + 258*u - 255*u, -2*a = 5*u - 21018. What is the highest common factor of a and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k**(-13)\/k)\/k)))\/((k*(k\/k**(-3\/2))\/k*k)\/k)*k\/(k\/((k**(-1)\/k)\/k))*k**(-3\/10)*k assuming k is positive.\nAnswer: k**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) + 42\/4. Suppose 3*b + v + 12 = 0, 3*v - o = 3*b + 13. Let p(l) = 4 + 0*l - 4 - l - 6. Determine p(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.368 - 23.7. Let j = l - 2.668. Which is the nearest to 3? (a) 3\/4 (b) 3 (c) j (d) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o + 6*o - 85*o + (3 - 5 + 3)*(-o + 0*o - o) + o + o + 4*o.\nAnswer: -79*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**8\/28 + 22*b**7\/105 + b**6\/2 + 3*b**5\/5 + b**4\/3 - 6*b**2. Determine q, given that n(q) = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 4*d - 132. What is the remainder when 339 is divided by v(34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 429634 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/1 + (-18)\/8. Let d = -36.2 + 84.2. Let g = d + -52. Sort j, g, -5 in descending order.\nAnswer: j, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 3:11 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 16*d**5\/5 + 3*d - 13. Differentiate o(i) with respect to i.\nAnswer: 64*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, -1\/4, -17.6 in increasing order.\nAnswer: -17.6, -5, -1\/4, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2414472 and 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16398 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1993 + 2001 + 1999 - 8235 + 2242 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f. Let d(t) = 8*t - 89. Determine d(l) + 2*u(l).\nAnswer: 4*l - 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -4*y**3\/3 + y**2\/2 + 9*y - 1. Let b(z) = -z**2 + z + 1. Let j(f) = 5*b(f) - c(f). Determine r, given that j(r) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 688.7 - 677.7. Are f and -1\/76 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -14. Put -3, l, 2\/3 in increasing order.\nAnswer: -3, l, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4124222, 4124224, 4124228, 4124234?\nAnswer: 4124242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/36)\/(1\/3). Let j be (-20)\/(-1) + ((-24)\/6)\/z. Let p(h) = h**3 + 3*h**2 + h - 2. Let y be p(3). Calculate the greatest common divisor of j and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 58052700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11247 - 67243\/6. Is r greater than or equal to 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 106112, -8.\nAnswer: -8, -5, 106112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 5 + -2 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n - 5*n)*(-n**2 - n + n) + (0*n + 5*n**2 + 0*n)*(-2*n + 4*n + 0*n) - 12*n**2 + 12*n**2 + 27*n**3.\nAnswer: 42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.235, 1\/3, 0, 3\/4, -120, 0.4.\nAnswer: -120, -0.235, 0, 1\/3, 0.4, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (19 - (36 + 14 + -57)) + 32\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 31322182*o.\nAnswer: 2*o*(o + 46983273)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2 + 65\/10 - (-40)\/(-10)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -263077, -264219, -266133, -268831, -272325?\nAnswer: -276627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 478333324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -224 - -218. Which is the closest to 0.1? (a) u (b) 3\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 9*t**2 + 3. Let g be 15\/(-6)*(-36)\/(-10). Let f be p(g). Solve -d - f = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1. Let d = 3 - 0. Let t = 1.98655 + -6.98655. Which is the closest to t? (a) p (b) d (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**4 + 2*f**4 + 0*f**4 + (0 + 1 + 1)*(-3*f**4 + 2*f**4 - f**4) + 3*f**4 - f**4 - 4*f**4 - 3*f**4 + 3*f**4 - f**4 - 4*f**4 + 2*f + 2*f**4 + f**4.\nAnswer: -7*f**4 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**6\/6 - 17*g**4\/24 - 14*g**2. What is the second derivative of n(r) wrt r?\nAnswer: -120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 443, -6 in descending order.\nAnswer: 443, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 17*s - 10. What is the remainder when (s - 4\/(-12))\/(10\/(-1965)) is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/3*(-5 - (-47072)\/(-1760)). What is the smallest value in -2\/15, 1\/6, -4, j?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000012755 to 7 decimal places.\nAnswer: 0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + -2 + 5)*5 - 80422\/5090?\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4784?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 10*i**2 + 9*i + 3. Let x = 6 - -1. Suppose 2*r - x = -25. What are the prime factors of o(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.12, 209, 0.2, 0.5, 1, -4\/7 in descending order.\nAnswer: 209, 3.12, 1, 0.5, 0.2, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509*h = -513*h + 2*y, -3*y + 1 = -5*h. What is the greatest common factor of 745 and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f - 3. Let q be d(-2). Suppose t + t - 48 = 0. Suppose t + 1 = -q*w. Let r(p) = -p - 2. Determine r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17484167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -49. Which is the second biggest value? (a) -2\/9 (b) l (c) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182958, 365918, 548878, 731838, 914798, 1097758?\nAnswer: 1280718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -1\/3*n**3 + 122 + 5*n - n**2. What is d(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/2140 and 113\/3780?\nAnswer: 404460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 467 in -65, 2.4, -2\/3, 0.2?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/10)\/(d\/(d*d*d**5*d)))**(-1\/33) assuming d is positive.\nAnswer: d**(-23\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4917056.\nAnswer: 2, 76829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxhx when four letters picked without replacement from oxxohxoooooohx?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j + 30 = 0. Let y be 8\/j*(-33)\/(-2). Let i be (1*-1 - -3)\/1. Calculate the highest common factor of y and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -55\/3. Find z, given that -4\/3 + 4*z**2 - 4\/3*z**3 + 4\/3*z - d*z**4 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 - (11 - 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -16*i - 6. What is the tens digit of x(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*9*(-63)\/(-27). Let x(c) = c**3 - 7*c**2 + 10*c - 4. Let m be x(5). Let j = m + r. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96799399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 3*k - 3 + 3*k. Let f(l) = -1. Let x(c) = -4610*c - 41491. Let t be x(-9). Determine t*p(n) + 2*f(n).\nAnswer: 6*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 49 - 4*c**2 + (-2 + 2 - c)*(-3*c + 2*c - c) - 2*c + 2*c - 5*c**2 to p*c**2 + z + w*c and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52.3 and 0.4.\nAnswer: -20.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-45))\/((2\/150)\/(105\/(-6615))).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.38 - -0.28. What is the fourth smallest value in 3\/2, -4, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 5*n + 35, -34 + 44 = b - n for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 t when four letters picked without replacement from eneeerkennt.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/108*(-1133)\/110 and -1\/20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3\/2, 0.3, -6358?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + 4 + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -21a030?\nAnswer: 21a031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*i - 2*u, 4 = -5*i + 4*u + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31801.\nAnswer: 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + 22 - 9 + 2*f)*(39 - 14*f - 39).\nAnswer: -70*f**2 - 182*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*r + 47*r = -412*d - 4527, -9*r = 2*d - 6*r + 37 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 - 3 + 4*w**4 - 7*w**4 - w**3 + w**4 + 0*w**4 - 2*w**4 + (1 - 1 - 2*w**2)*(w - w + w**2) + 2*w**3 + w**4 - 2*w**3 - w**4 + 2*w**4 - 4*w**4.\nAnswer: -8*w**4 - w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 14*j**2 - 7*j - 12. Let v be o(-3). Suppose -6*a = -15*a + v. Calculate the highest common factor of 1 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 - -135. Suppose -i + 100 + w = 0. Suppose b - 6*b + i = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 5*h. Let x be 2\/(-7) - 225\/21. Let w = h - x. Calculate the remainder when 31 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 80, 164, 262, 380, 524?\nAnswer: 700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*d = -273*d - 180 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 3. Let d(y) = -2056*y - 13. Determine d(u) + 5*g(u).\nAnswer: -2036*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millennium in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4466103 by 2.\nAnswer: 4466103\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, w: 3, c: 8}. What is prob of picking 1 c and 3 w?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9633 and 10621?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 15*u**2 - 32*u + 4. Let r be v(2). Suppose 0*q = 3*q - g - 16, -15 = -4*q - 5*g. Let m = q - 3. Solve y - m*y - 2 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 224 - 24*h - 224 to m + c*h and give c.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*k + 4*j, 1094*k - 1097*k + 94 = 5*j. Solve -k*g = -40*g - 96 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h - 15, 0 = k - 4*h - 18. What is the second derivative of 45*r + 16*r**3 + 11*r**3 - k*r**3 + 2*r**2 - 5*r**3 wrt r?\nAnswer: 96*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97*j*m**2*q**3 + 3*j*m**2*q + j*m*q**3 + 2*j*m*q**2 - 39*q**2 wrt q?\nAnswer: -582*j*m**2 + 6*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9517 and 0.094973?\nAnswer: 9517.094973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1021006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*o, -7*d - 4*o = -2*d - 4. Suppose -d*l + 55 + 135 = -2*x, 184 = 4*l - 4*x. Is ((-42)\/l)\/((-2)\/154) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.03 (b) -2 (c) -2\/3 (d) 35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 2*a - 1. Let v(m) = -18*m**3 - 82*m**2 - 10*m + 5. Let g(o) = -5*j(o) - v(o). What is the third derivative of g(x) wrt x?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/((18\/150)\/(9\/10)). What is the units digit of (-2 - 228)*(-24)\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 158?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -4. Let j = -14 + g. What is the smallest common multiple of 4 and (-10)\/j + 0 + (-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*r + 14 = 0, 3*t - 18 = 5*r - 0. Let q be -4*t\/(-4)*15. List the prime factors of (q - -2) + 2 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 - 1 + 2*k + (-5 + 3 + 3)*(491 - 20*k - 491) to r*k + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 34 = -419. Calculate the greatest common divisor of s and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -9 - 14 + 0*t**2 + 8*t**2 - 8 + 12*t**3 - 4*t + 4. Let d be y(-6). What is d rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppl when three letters picked without replacement from {l: 8, p: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 PM and 8:36 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 11*u - 3. Let j be c(3). Suppose -5*l - j = 15. Let f = -5 - l. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686303 is divided by 1342499.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 676115 is divided by 30580.\nAnswer: 3355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/77070 and 131\/110.\nAnswer: 847770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 4592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/13)\/((2\/(-6)*1)\/((-156)\/12))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 9*w = -1. Is w not equal to -3\/332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -184.568 + 10.688. Let o = -171 - r. Let m = -0.32 - o. Round m to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.3 + 3.7. Let t = 4.8 - -0.2. Let q = t + f. Which is the nearest to 0? (a) q (b) -1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00024279528 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -133 + 4?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (16 - 4) - (3 + -2 + 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**3 + 22*m**2 - 58*m - 289. Calculate z(6).\nAnswer: -493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7795 or 7788?\nAnswer: 7795","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -384 by 31659.\nAnswer: -128\/10553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 5*i + 12 + 5 in the form g + t*i and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 60*a - 59*a - 22, -232*y - 1402 = 5*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011101 (base 2) to base 11.\nAnswer: 3a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2795 and 1558535.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(114\/(-4)) - 1*7\/(-114)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(-39646)\/(-16813) + 2*(-1)\/23.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29 - 626 - (1 - 2*2). What is t rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*n, 0 = 2*n - n + 3*q + 2. Let x(z) be the first derivative of z - n + 0*z**4 + 0*z**3 + 0*z**2 + 2\/5*z**5. Differentiate x(f) wrt f.\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-2\/5)*a**(-3)\/a assuming a is positive.\nAnswer: a**(-22\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -201211212221?\nAnswer: 201211212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r. Let p = -13 - -13. Let f(o) = p + 4 - 3 - o. Let h(y) = 4*a(y) - 4*f(y). Differentiate h(q) wrt q.\nAnswer: 8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*u = 54, -4*f - 3*u + 57 = -50. Does 13 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -18 + 3, 5*t - r - 350 = 0. Let i = t - 2. What are the prime factors of i?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 105479 - 3332?\nAnswer: 102147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, e: 4, u: 8}. What is prob of sequence pepu?\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/20 - 5*m**4\/12 - 2*m**3\/3 - 7*m**2\/2 - 6*m. Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 5\/2, -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -3834, 2\/17, -0.64?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 q when three letters picked without replacement from llqqlqlllqlqllqlll?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/6)\/(10\/(-60)) + (116 - 109)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/12 + 2300\/30 + -8. Calculate the highest common divisor of 172 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus 32.64?\nAnswer: 34.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26*(4 - 252244\/63112). Let p be 43*(-8)\/(-343) - 1. Let i = r + p. Which is the second biggest value? (a) 2 (b) i (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -43*c + 568. Solve -2 = -19*f + c*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 330.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/278 + 281\/834. Let w = 2\/5 - -1\/10. Let -1\/2*g**4 + 1\/6*g**3 - n*g + 0 + 1\/6*g**5 + w*g**2 = 0. Calculate g.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.6503 and -0.06.\nAnswer: -2.7103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -103564*b**3*m + 35*b**3 + 462204*b**2 + 12*b*m**4 - 3*m**2 wrt m.\nAnswer: -103564*b**3 + 48*b*m**3 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -40*k**2 + 41*k + 1. What is s(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 13 = -37 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3\/2 + 71115*s**2\/2 - 35560*s.\nAnswer: 5*s*(s - 1)*(s + 14224)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/3196 and -39\/136.\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pccc when four letters picked without replacement from aaappccacaapacaa?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 8 + -26 + 20 + 3 + -9\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + sqrt(156)*2*-3)\/(5*1*sqrt(12)))**2.\nAnswer: 208\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 42 + 28. Suppose 16*y + 160 = 11*y. Let f = 48 + y. What is the smallest common multiple of f and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 23*h**2 + h. Let l(a) = -a - 10. Let f be l(-9). What is m(f)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(2\/3))**(-50)\/(f\/(f*f**(-4\/5)\/f)*(((f*f\/f**(-4\/5)*f)\/f*f)\/f)\/f) assuming f is positive.\nAnswer: f**(-304\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5*y - 5*y + 2*y)*(-2 - 8 - 4*y + 12) + (-3*y**2 + 3*y**2 - 2*y**2)*(20 - 38 - 28).\nAnswer: 84*y**2 + 12*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4755 is divided by 32?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oof when three letters picked without replacement from ofommmmommomoomomfo.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 35*n**3 - 19231 + 19231 - n**2.\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 399 divide 8793162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/11 + -12\/77. Let p(h) = -h**3 + 2*h. Let m be p(2). Let o be (1 + -1)*(-2)\/m. Is o smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22388 is divided by 106.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*j**2*l**2*w + 11*j**2 - 8*j*l**2 - 204*l**2*w - 48*l*w wrt j?\nAnswer: 44*j*l**2*w + 22*j - 8*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:45 AM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 6*y**3 - 3*y**2 + 26*y + 1. Let w(q) = -7*q**3 + 2*q**2 - 27*q - 2. Determine 5*m(l) + 4*w(l).\nAnswer: 2*l**3 - 7*l**2 + 22*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, -90, 2, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 8*t**2 - 6*t - 16. Let z be u(9). Suppose -8*c = -z*c - 912. What is the tens digit of c\/(-64)*(-1 + 33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 15*t - 200.\nAnswer: 5*(t - 5)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 32?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 5)*(-2 + 2 + i)*(-4 + 2 - 2 - 1 - 2 + 1 + (3 + 1 - 3)*(2 + 1 - 1))*(0 + 3 + 3) to f + r*i and give r.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 40 in decreasing order.\nAnswer: 40, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9.666 + 6.317. Let n = o - -1.349. Let h = 88 + -617\/7. Which is the nearest to -2\/5? (a) h (b) n (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*o. Suppose 0 = 4*t - 5*n - 351990, -5*t - 3*n = -o*n - 440006. Suppose b + b + t = 0. Round b to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -192*l + 179*l. Let t = 13 - -60. Let j = t + -44. Calculate the remainder when j is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 715953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15 - ((-17 - -8) + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 6 + -10 + 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2169523511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - 17. Let v = -2 - -4. Find the second derivative of -v*x**h - 7*x**2 + 0*x**2 + 6*x - 7*x wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 - -962?\nAnswer: 962.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 71\/643 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 273 + -402. Let u = g + 647\/5. Which is the nearest to -0.1? (a) 5 (b) u (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 2. Let t(g) = 36*g - 12. Let h(c) = -26*r(c) - 5*t(c). Determine h(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllldlldllllldlldd. What is prob of picking 3 d and 1 l?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7 + -7)*3\/18*3. Suppose 0*u - 25 = -u + v, -2*u + 4*v + 46 = m. Determine b, given that b**2 - u + 27 + 2*b - b**4 - 2*b**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1817 is divided by 42.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 499079?\nAnswer: 7, 83, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3779 + -2333. Let v = w + 211. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10347523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**3 - g**3 + 3*g**3 + 3*g**3 - 7*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/5 (b) 258 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08351 + 0.00649. Which is the fourth smallest value? (a) -1\/3 (b) 1 (c) 0 (d) -0.2 (e) g\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -1. Suppose 3*x + 4*r + 9 = -r, -x + r - 3 = 0. Which is smaller: l or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + v + 5*v)*(93 + 103 - 146) to the form w*v + x and give w.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 325 divided by 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1100000011111110011?\nAnswer: 1100000011111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*t**3 + 0 - 5*t**3 + 3*t**3 + 3*t**3 + (2 - 2 - t**2)*(1 - t - 1) + 2*t - 2*t + 2*t**3 + (-26 - 13*t**3 + 26)*(0 + 0 + 1).\nAnswer: -11*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 334\/8 - (117\/12)\/13. What is the third derivative of -2*g**2 + 12*g**6 + q*g**2 - 3*g**5 - 8*g**6 + 5*g**5 wrt g?\nAnswer: 480*g**3 + 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 17\/14424 (b) 0.3 (c) 0 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 + 7*q**2 - 9*q + 13. Let l be a(5). Let x(j) = -j**3 + 16*j**2 + 44*j - 16. Let o be x(l). What is the highest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -8 + (2 - -2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5\/5 - 107*c**4 + 3713*c**3\/5 - 8993*c**2\/5 + 8982*c\/5 - 3168\/5 = 0 for c.\nAnswer: 1, 2, 3, 528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 8*o**2 + 15*o + 11. Let a be g(-10). Let j = -86 + a. Let m = -4 - j. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1960 divided by -14?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27801.0044823 - 27801. What is w rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 20.37714 millennia?\nAnswer: 20377.14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((3 + sqrt(320))*-3)**2 - (sqrt(320) + (sqrt(320) + 3)**2)*-4).\nAnswer: 656*sqrt(5) + 4272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*s**4 - 4*s**4 + 4*s**4 - 19*s**2 + 2*s**3 - s**4 to the form t*s + p*s**3 + d*s**4 + w + k*s**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 291 + -290.9454. Let f = a - 0.1546. Which is smaller: -479 or f?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -335*v + 27 - 26 + 165*v + 0 - 1 + 164*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = 6*h - 10. Let s(w) = -h*w**3 - 3*w + 18*w**3 - 11 + 6*w**2 + w**3. Give s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*o - 4*x, -17*o + 22*o + 11 = -2*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 20 = 7*f. Suppose 5*k = -a + 27, 3*k - 1 = -4*a + f. Suppose 31 = 2*c + 27. Solve -c*h - k = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 40*x - 10*x**2 + 1\/3*x**3 - 12. Let g be d(18). Solve g*p - 16 = -4*a, 5*a - 9 - 11 = 4*p for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide (-22)\/88*-3*24024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let l(r) = 53*r + 13. Let z(k) = 27*k + 7. Let g(n) = -6*l(n) + 11*z(n). What is g(f(i))?\nAnswer: 42*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 23011099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2461 = -836. Let q = 1633\/5 + g. Factor -2\/5*t**4 + 0 - 2*t**3 - 16\/5*t**2 - q*t.\nAnswer: -2*t*(t + 1)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 105\/3 + -15 - 13. Solve -p*n = -11*n - 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -22*g**3 + 65*g**2 - 14*g. Let v(q) = 11*q**3 - 32*q**2 + 8*q. Let p(k) = -4*i(k) - 7*v(k). Find the third derivative of p(j) wrt j.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 3*h**5\/4 + 2997*h**4\/4 - 7521*h**3\/2 + 4521*h**2 + 3006*h - 6024 = 0.\nAnswer: -1004, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 8 + 5 + -11 - 6) + (-7 - 12).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202250*z**2\/7 + 404508*z\/7 - 16\/7 = 0. Calculate z.\nAnswer: 4\/101125, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/4 of a gram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*x**4 + 1058*x**3 - x - 1058*x**3 wrt x?\nAnswer: 252*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1647*z + 2 + 1639*z + 0 - 2.\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*z**2 + 18*z**2 - 25*z**2 - 14)*(1 + z**3 - 93*z + 93*z).\nAnswer: z**5 - 14*z**3 + z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2264601\/(-333747) - (3 - 75\/27).\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 4*v**2 - 5*v + 4. Let m = 7 - 4. Suppose 0 = -2*b - m*b - 25. Let g be y(b). Solve -g*j - 5 = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t**1*t))\/t)**(4\/7))**(-1\/11)\/(t*t*t**(-1)\/t*t*t**(2\/19)*(t**(-1\/2))**(-1\/14)) assuming t is positive.\nAnswer: t**(-867\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s - 24. Let z be b(16). Suppose 39*v = 37*v + z. Let y(u) = -u**3 + u**2 - u. Let x be y(0). Solve g + v = -x*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1528 take away -4.46603439?\nAnswer: 30.61883439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.156 + -0.146. What is the second smallest value in g, 2\/37, 4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -8*f + 18. Let u be g(-9). Let l = u - 84. Suppose 5*i - 8 = 12. Solve 0 = -2*v + i*v + l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -78 - 2. Suppose -o = -5*k - 25, -6*o + r = -o - 4*k. Are -1\/11 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -3*z - 7, 107*q - 3 = z + 108*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 8*j**2 - 5*j. Calculate i(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 - 2*a**2 - 3*a. Calculate the remainder when y(7) is divided by -8*((-15)\/6 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 2*k**2 - 2*k - 6. Let l be a(3). Let f be l*(-4)\/18 + (-428)\/(-6). Calculate the remainder when (f\/(-20))\/((-2)\/65) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -12*k**2 - 5*k**2 + 19*k**2. Let f(l) = 2*l + 3. Give z(f(j)).\nAnswer: 8*j**2 + 24*j + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 366 - 123. What is the remainder when s is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317880691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/21 (b) 4\/595 (c) 5 (d) 315 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 238b + 2?\nAnswer: 238d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2220)\/185 + 21)*16\/(-1).\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -50, -53, -56, -59?\n\"Answer: -3*j - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49652328 by -6.\nAnswer: -8275388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*f - 136*f + 444*f + 228*f.\nAnswer: 570*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000646 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 2*r = -16, -5*k - 5*r = 434 - 429 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g**2 + 3655*g + 74160.\nAnswer: -2*g + 3655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9299581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {a: 2, v: 10}.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1363 bigger than -1366?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/(-16))\/(-3)*(-7 - (-11 + -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -36 + 18. Let p be 2\/(-6)*a\/(-2). Let w be 7\/(-21) + 14\/p. Is w at least -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86400 divided by -60?\nAnswer: -1440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3)*-1 + 5 - (-5 + sqrt(9)\/sqrt(3) + sqrt(3))) + -2 + ((1*sqrt(33))\/sqrt(11) - sqrt(147)*1))**2 + -1.\nAnswer: -144*sqrt(3) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-15) - (-52)\/20. Let x be 0\/(-1 + 2) - -4. Are h and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2171 - -2163. What is the closest to c in 0.1, -0.08, 2\/11?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.22 in 60, -2\/9, -4\/5, 12\/7, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -41, -23, -11, -11, -29, -71?\n\"Answer: -y**3 + 3*y**2 + 16*y - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -1 + 7, 0 = 4*c - 4*v - 32. Suppose 3*y - c = y. Solve y*u - 3*a = -0*u + 3, -5*u + 35 = 5*a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (845\/105 - 8)\/((-2)\/(-12)). Put -0.21, d, 1\/7 in increasing order.\nAnswer: -0.21, 1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -156, -275, -394?\nAnswer: -513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fw when two letters picked without replacement from fffwfwff?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 12222 + 3242 = -5*q, 5*c - 77215 = 4*q. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let c = -4 - -11. Suppose 3*f + 8 = c*f. Suppose f*d + 2 = 5*x + 8, -3*x - 4 = -d. Calculate z(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -826596*h**4 + 4414848*h**2?\nAnswer: -19838304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55*(-210)\/21175)\/(2\/(-6))?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.363.\nAnswer: 0.1815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2454 and 1612392.\nAnswer: 659468328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1109cb?\nAnswer: 110a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 4*o**4 + 4820*o**3 + 1394168*o**2 - 35715152*o - 316676640 = 0.\nAnswer: -614, -7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2100)\/(-45))\/(2\/6). Suppose 3*u - 2*s - 430 = 0, f = u + 2*s + 2. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 20?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3*p + 14949947*m**3 + 139551*m**2*p + 19*p wrt p?\nAnswer: m**3 + 139551*m**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3344.685 years to decades.\nAnswer: 334.4685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 72 and 240.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 37, -26, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1675, -1687, -1701, -1717, -1735, -1755, -1777?\nAnswer: -1801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (31 + -22)) + 5 + (0 - 4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121\/26 - 9\/2. Let r = -3.221 + 2.221. Which is the fourth smallest value? (a) 0 (b) r (c) 15 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 913292\/21 + -43553. Let p be (362\/(-9))\/((-2)\/3). Let k = n + p. Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 19346 - 8393*p**2 - 19346 as n*p + w*p**2 + t and give w.\nAnswer: -8393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u - 13. Give q(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6275 and 1506?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 393 - 374. Let n = m - 23. Which is the closest to -1? (a) 9 (b) n (c) -3\/2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 26 = -4*c. Let a = c + -46. Suppose -i - a*i - 5*u = -15, i = 2*u - 6. Solve -b = -i*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -81*l**2\/2 - l + 2. Suppose 5*q = -2*t - 9, -q + 0*t - t - 3 = 0. What are the prime factors of n(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 30c6 - -29?\nAnswer: 3100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-300)\/9)\/4)\/((40\/15)\/8).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*(((r**(-29)*r)\/r*r)\/r)\/r*r))\/r**(-2\/7))\/(r**(-2\/49)\/(r\/r**14)) assuming r is positive.\nAnswer: r**(751\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5493*v**5 - v**4 - 578*v**2 - 51356428*v wrt v.\nAnswer: 109860*v**3 - 12*v**2 - 1156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 338*v**3 + 27*v**2 + 5*v - 25. Is y(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -599, -1466, -2603, -4010?\n\"Answer: -135*y**2 - 462*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -8. Suppose -2*c = -4 + 2. Suppose -4*i - 4 = -4*x, 2*x + 3 = -4*i - c. Solve x = r - l*r - 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-91))\/(1\/7). Let g(o) = 8960*o + 17. Is g(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3120 and 3358160?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -179, 4, -2\/11, -1.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + 8 - (-805 + 799).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 4 - 4. Is ((-42)\/4)\/((-1)\/p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10830, -10826, -10824, -10824, -10826, -10830?\nAnswer: -10836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4550465 + 16?\nAnswer: 4550503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6631, -6846, -7063, -7282?\nAnswer: -7503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 12*a**2 - 188*a + 513. Calculate z(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574, -2290, -5140, -9118, -14218, -20434, -27760?\nAnswer: -36190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-36))\/(145\/58). Let d(y) = -y**2 - 5*y - 3. Suppose -w = 4*w + 2*z + 24, -5*w + 5*z - 10 = 0. Let c be d(w). Are l and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-4) - (-17)\/(-2). Let g be 0 - (-2 - 0 - z). Let s be ((-1)\/(4\/18))\/g. Is 0 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, s: 6}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -1\/18*c**6 - 1\/15*c**5 - 1\/3*c + 1\/6*c**4 - 1\/6*c**2 + 2\/9*c**3 - 2. Factor s(l).\nAnswer: -(l - 1)**2*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) - ((-3*sqrt(88) + sqrt(88))*-1 + sqrt(88) - sqrt(88))) + sqrt(88))\/(5*sqrt(32)\/sqrt(4) - sqrt(8)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 106.23979 rounded to zero dps?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235573?\nAnswer: 13, 18121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m)\/m**(-5\/4)*(m\/m**(-2\/15))\/(m\/(m**(2\/3)*m)) assuming m is positive.\nAnswer: m**(21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 15*u**2 - 7\/30*u**6 - 11\/6*u**4 + 0*u + 0 + 16\/15*u**5 + 4\/3*u**3. Find p such that f(p) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 5)*((4*v + 0*v - 3*v)*(-11 + 5 + 8) + v + 2*v - 4*v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 303 = 289. Do 2 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -89b0d + -2?\nAnswer: -89b0f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4*g**3 - 2*g**2 - g + 3. Let w be y(3). Let b be -5*(0 + (-28)\/(-35)). Let v be 12\/(-18)*(5 + 74\/b). What is the highest common divisor of v and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 982 = -114*v + 640 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -328625 or 3?\nAnswer: -328625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t - 4. Suppose 0 = 2*p - 4*h + 5*h + 8, 38 = -5*p - 7*h. Let m(o) = -21*o - 17. What is p*m(j) + 9*f(j)?\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.7, -0.09, -93, -1\/2, -43?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 2.6.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1812502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(((v**(-1)\/v)\/v)\/v))\/v)**(3\/16)*v**(4\/9)\/(v*v**(-2\/27))*v**(-2)*v*v*v**(-1\/5)*v**(4\/5)\/v*v**2\/v assuming v is positive.\nAnswer: v**(469\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**(2\/21)*x))\/x*x\/(x*x**(3\/2))*x)**(16\/7) assuming x is positive.\nAnswer: x**(-536\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 61908*a**2 - 513292770*a + 519762969064.\nAnswer: -2*(a - 14891)**2*(a - 1172)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.03 + 0.03. Let k = -4 - x. What is the smallest value in k, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(208) + -1 + sqrt(208) + 4 + sqrt(208) + -5*(sqrt(208) + -2 + sqrt(208) + -3 - sqrt(208))))**2 + -2.\nAnswer: -17280*sqrt(13) + 62350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 5 = 4 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 790*q + 8 + 0.\nAnswer: 790*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 97495 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k + 5 = 14*k. Suppose -4*o + 18711 = -k*x, o - 4158 - 523 = -2*x. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 542 - 544. Let p(y) = 41*y**3 + 6*y**2 + 19*y + 5. Let h(x) = -20*x**3 - 3*x**2 - 9*x - 3. Let b(v) = 9*h(v) + 4*p(v). Is b(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8c918 (base 13) to base 16.\nAnswer: 3e98a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1926 + -1566. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 11. Let h be c(-3). Solve -k = h*k - 18 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {y: 2, u: 11}.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w**3 + 51*w**2 + 240*w + 192 = 0. Calculate w.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9c (base 13) in base 5?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29874236 from 523934.\nAnswer: -29350302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(30 + (-13129)\/437)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 883, 887, 891, 895?\n\"Answer: 4*t + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -12. Let h = -6 - x. Suppose 185 = h*r + 2*p - 73, 253 = 4*r + 3*p. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/15))\/r)\/((r\/r**(-17)*r)\/r)*(r**16)**(-3) assuming r is positive.\nAnswer: r**(-988\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 6*a**2 - 8*a - 6. Let w = -13 - -6. Determine p(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + l = -4, -2*l + 20 = 5*i - 7*l. Let m(v) = v**2 - v + 16. Let o be m(i). Let u be ((-6)\/4 - -2)*o. Solve -u - 4 = -4*n - c, -n + c = -8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19269 and 18036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298*n**2 + 1343*n**2 + 1386*n**2.\nAnswer: 2431*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 29. Is 1\/75 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1089987*d**3 + 24*d**2 + 569*d + 52?\nAnswer: -6539922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 6 - 7) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -12. Let f be (g\/6)\/(4\/(-6)). What is the nearest to 1 in f, 0.2, 1\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*j - 5*v, -3*j + 12*v = 7*v - 28. Suppose j*q - 318 = 1092. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 30*a + 16691. Is k(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 AM and 12:56 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 258\/(-10) + 192\/240. Let g(b) = -b**2 - 26*b - 33. What is g(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 147 + 67. Is (-4)\/8 + q\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/286)\/((-1470)\/(-6370))*(-40)\/4?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*m + 50*m = 3280. Calculate the remainder when m is divided by 318.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 4:03 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 380689 and 380715 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + x + 4 + 5*x - 5*x - x + (-5*x + x + 6*x)*(3 - 3 - 1) - 5*x + 0*x + 3*x + 2*x + x - 5*x)*(3 + 2*x**2 - 3).\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**4 - 3*t**4 + 0*t**4 + (68*t**2 + 138*t**2 - 71*t**2)*((-t - t + 0*t)*(2*t + t - t) + 3*t**2 - 8*t**2 - 2*t**2).\nAnswer: -1486*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18711991 is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w - 12. Let h be b(-10). Let q = 80 + h. Is 16 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -653, -582, -459, -284, -57, 222, 553?\n\"Answer: 26*b**2 - 7*b - 672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1533\/252*24\/(-2)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-35)\/700)\/(2*(-1)\/4).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 m when three letters picked without replacement from {e: 4, m: 2, q: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g**5 - 6*g**5 + 6*g**5 + (-2*g**3 - 2*g**3 + 6*g**3)*(-186*g**2 - 1366*g + 1366*g).\nAnswer: -368*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -2\/3*c**3 + 5\/6*c**4 + 1\/15*c**6 + 0 - 2\/5*c**5 - 2*c + 0*c**2. Determine x so that v(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3229255, -6458511, -9687767?\nAnswer: -12917023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 38081 - 38115 + 2*t + 3*t**3 - 2*t**3 + 0*t + 2*t**2 to a*t**4 + n*t**2 + q*t**3 + p*t + o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 + 7 + -2 - 5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 10*j**2 + j - 21. Calculate t(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**4\/4 - 2*b**3\/3 + 5*b**2\/2 + 5*b - 840. Calculate z(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11414)\/8060)\/((-2)\/8) - 262\/4061.\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -67 (b) 3\/2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 6.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-510)\/6*(-2*20\/200)\/(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515007 is divided by 459.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.096 (b) 5 (c) -7\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21 - -365?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -130 - -140. Let m(a) = a**3 - 4*a**2 - 28*a + 7. What is the hundreds digit of m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from dggaiyggiiydgigygi.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 16, -2\/29?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 21. Sort 2\/5, 1, 4, j in descending order.\nAnswer: 4, 1, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Let k(j) = -j. Let l(u) = 7*k(u) + 4*n(u). Let w(a) be the second derivative of 2*a**3\/3 + a. Calculate l(w(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 496 a factor of 64976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 36568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74 + 5 + 3*i - 7*i + (0 - 3 + 0)*(2*i + 0*i + 0*i).\nAnswer: -10*i - 69","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*i - 205*i + 30*i - 10067 = -519 for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.14 - -0.99. What is x rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(143)*-4)\/(-2*2*sqrt(11)) + 3.\nAnswer: -sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/(-12)*306\/561.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 21*r - 36. Let k(l) = -3*l + 5. Let s(y) = -2*h(y) - 15*k(y). Let c be s(0). Let x(b) = b**3 + 3*b**2 - b - 2. Give x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 4:16 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q - 6. Let o(r) = 8*r + 5. Let w(i) = 5*i**3 + i**2 - 3*i + 2. Let y be w(1). Suppose -y*t - 66 = -16*t. Give t*o(g) + 5*h(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 18 = -11*c - 2*n, 15 = -3*c + n. Let x be (8 + c - 1) + 2. Find y, given that 16\/5*y**x + 2\/5 + 8*y**2 + 17\/5*y = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -327 + 329. Suppose 6*h - 2*n = h + 101, -3*n = 2*h - 48. Is 1\/(d + h\/(-11)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 14*g - 1. Let r(f) = -3*f - 819. Give p(r(y)).\nAnswer: -42*y - 11467","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - v**2 + 8. Let m be p(0). Suppose m + 4 = 4*z. Let n(x) = -x**2 - 13*x - 37. Let f be n(-7). Sort 0, z, f.\nAnswer: 0, z, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 159 + 167. Which is the closest to -98? (a) n (b) -0.3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(2\/21))**(-25)*o**19\/o*o**(-2\/39))**(2\/85) assuming o is positive.\nAnswer: o**(-10\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/4*-4 + 0. Suppose n + 7 = m. Suppose -3*k = -2*k + j - m, -j = -3*k + 38. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -3 - 10) + 6 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1142*s - 19045. Determine u(-17).\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 4*l - 3. Let c be q(5). Suppose c*u - 1 = -19. Let g be -2 + 2\/(-1) + -5. Is u <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**2 + 2*s**2 + 0*s**2 + (-3 - 4*s + 3)*(s - 32 + 32).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = 10*x + 151. Is (-12896)\/x - 2\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (-11 + 54)) + (0 - 0) + 6 + -8.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31487 is divided by 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -11. Let p be (n - 3)\/((-1)\/(-6)). Let z(k) = -k**3 + 6*k**2 + 4*k - 6. What are the prime factors of z(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*g + 3*j, 4*j = -2*g + 2*j + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 8*y - 45 = 0. Suppose -f = -4*f + y. Suppose 2*z + 5*k = -z + 17, -4 = -4*k. Solve -4*q = z*s, 0 = 4*q + 6*s - f*s + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xee when three letters picked without replacement from penxdxpey?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -23, -1, -4 in descending order.\nAnswer: -1, -4, -23, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6, -1, -5753, 2, -0.1, -1\/82?\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16638, -16694, -16724, -16728?\nAnswer: -16706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/28 + 12\/(-7). Let h be ((-8)\/12)\/j*6. Suppose h*m = 3*m. What is the closest to m in -2\/9, 0.5, 1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*h + 8*h + 10*h + 2*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((0 + sqrt(176) + -3)*-5 - (sqrt(99) + 1*sqrt(99) - -2*sqrt(275)))**2 + -1.\nAnswer: -1080*sqrt(11) + 14477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 13458, -1, -0.3 in decreasing order.\nAnswer: 13458, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1057*l - 284. Let a be z(2). Round a to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88419*s + 1472 = 88483*s for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6444.76 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -214*b - 2566. Give f(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -2\/21 (c) -3\/40 (d) 760\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2927 divide 28746067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*k + 6 = 0, 22*o + 5*k - 4 = 23*o. Let d(b) = -5*b + 15. Let p be d(o). Let q = -26 - -36. Solve -5*i = -q*i - p for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/14 + (-135)\/756?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -16562*g - 761855. Determine v(-46).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1192)\/38*(-2)\/(-4) - -16?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017 equal to 1012?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 256968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 0. Let s be -4*(1 - (-141)\/(-138)). Which is the smallest value? (a) s (b) -4\/5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824733819 a multiple of 2467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58350 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/8*(550\/(-4950))\/(-1 - (-20)\/6)\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1091, 1777, 3559, 6965, 12523, 20761, 32207, 47389?\n\"Answer: 88*f**3 + 20*f**2 + 10*f + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30932 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: Suppose 0 = 4*g - 2*g + 20. Let h = 90 + g. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 9 - 25. Let x be 1*(1\/(-3)*0 - 2). What is the units digit of 312\/o + 1\/x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of q**5\/20 - 3*q**4\/4 + 7*q**3\/6 + 3*q**2\/2 - 197*q. What is t(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -205*k - 96*k + 318 + 284. Solve -21*j - 152 = -k*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 226997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/25 of a millennium?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7\/4 (b) 0.5 (c) 224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 102 + -542102?\nAnswer: -542000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 35*j**2 + 2 - j - 5*j**3 + 4*j**3 - 43*j**2 - 4. What is the remainder when b(-8) is divided by ((-3)\/9)\/(1\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136*q - 133*q = 21. Let p(d) = 4*d**2 + 2*d - 3. Calculate the remainder when p(-3) is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15202545 (base 7) to base 5\nAnswer: -332240431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.072, -0.4, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-65))\/((-6192)\/6880)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 5*l - 120, -4*l - 41*t - 25*t + 49 - 3 = -68*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 3. What is the least common multiple of w(-1) and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfw when three letters picked without replacement from ffwffwffffffffwfff?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -434.9175 + 435. What is u rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 158889?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 4. Suppose -5*l - 92 = -4*a, 4*l - 2*a + 5*a = -86. Calculate the smallest common multiple of (-4 + -1)*32\/l and f(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1855*i**3 + 3 - 1858*i**3.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9249 < 9979?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = q + 2*g + 2*g, 11 = q + 2*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 u when three letters picked without replacement from yyuyllyyluyulylyl.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1373689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 902 - 212944?\nAnswer: -212042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*w - 10. Solve q + w*q = 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (0 - 4) - (14 - (-10 - -9)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**4 + 6*g**2 - 2*g**4 - 2*g**4 - g**4 wrt g?\nAnswer: -48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (-2 + 1 - (-18 - -7)). Let c(q) be the first derivative of q**2\/2 + 13*q - 29. Calculate c(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1137, 1944, 2651, 3264, 3789?\nAnswer: 4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 134566 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -2321 + 656. Let f = 189 - r. Solve f*i = 8, -o + 4 = i + i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1501238286?\nAnswer: 2, 3, 9266903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 55159950, 110319901, 165479852?\n\"Answer: 55159951*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 23 = j, 3*j + 2*j - 67 = 4*l. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 1.8. Let o be (-4)\/(-96)*6 - 14\/24. Which is the second biggest value? (a) k (b) 9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4566962 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of -2*t**2 - 1. Let k(m) be the third derivative of 1\/8*m**4 + 0*m + 3*m**2 + 0*m**3 + 0. What is v(k(r))?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -20*u + 6. Determine v(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*z + 3*g, -2*g + 4*g = -4*z + 16. Let c(y) = 7*y - 4. Let v be c(2). What is the greatest common divisor of z and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 4.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 2*h**2 + h - 2. Let a be v(2). Let u = 74393\/18 - 4134. Find the common denominator of u and a + (55\/(-2) - -2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6420 (b) -2\/11 (c) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:22 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 7*d**2 - d + 10. Let h be l(7). Suppose h*g - 24 = -12. Solve -g*k - 25 = -i, k + 0*i = -3*i + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1921)\/(-1173)*3 + -1 + -3 - 1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 - 3 = 0. Suppose -4*o = -52 + j. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 8:54 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1529?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12432435 is divided by 956341?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -43*x - 352. What is j(-10)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*t + 8 = 0, 3 + 13 = 3*x - t. Suppose x*j - 20 = -j. Solve -j*z - z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -45, 0.4, 3, 4\/9, 1\/5?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1390 + -735. List the prime factors of t.\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.9, -2\/7, 2\/17, -3\/5 in increasing order.\nAnswer: -3\/5, -2\/7, 2\/17, 2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-7) - (-4)\/(-14). Let v = n - 1. Solve -2*g - v = -3*x + 1, 0 = -3*g - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -7872*m**5 + 10880*m**4 - 3300*m**3 + 300*m**2 - 8*m = 0.\nAnswer: 0, 2\/41, 1\/12, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1)**(4\/17)\/(b**4\/(b*b\/(b\/b**(-1))*b*b)) assuming b is positive.\nAnswer: b**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 225670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 809, 3.1, -0.21?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzz. Give prob of sequence zzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 4, v: 3, y: 10, g: 1}. What is prob of picking 1 q and 1 y?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 2. Let z be l(7). Suppose -z*x + 610 = 3*p - 0*p, 0 = 4*x + 4*p - 496. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -388 - -557. Suppose u - k = 21. List the prime factors of u.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 5*p**3\/3 + 2. Suppose 4*c = 2*m - 18, 0 = 3*m - 3*c - c - 23. Suppose 4*t = m*u - 0*t + 5, 3*t - 2 = 2*u. What is s(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/11, -46\/19, 0.4, -12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 1.5. Let f = 950 - 948.93. Let u = f + -1.27. Which is the closest to u? (a) -0.1 (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.99 - -0.01. Suppose 4*b - 3*l = 580, -5*b + 899 = -5*l + 179. Let u be ((-16)\/(-10) + 0)\/(b\/370). Sort 2\/3, u, r, 2\/9 in decreasing order.\nAnswer: u, r, 2\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/8, 1, 0.06, 4\/7, 36?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42497754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*t + 2, -30*n + 5*t = 32*n - 67*n + 30 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18938 is divided by 204.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 28. Let w be n(-13). Solve -c + 0*i - i + 2 = 0, 5*i + w = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*g**5 + 2*g**4 - 1348644*g**3 + 10*g**2 + 256*g + 13211.\nAnswer: -600*g**2 + 48*g - 8091864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 1) + -1 + -15 - (-1033 - -1029)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y + 166*y - 496 = 4404. Solve -8 = y*k - 24*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.2 (b) -46.8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v + 1. Let z be d(4). Suppose 4*h = z - 1. Solve w = h*w - 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*s + 1 = 373*s + 3*r, -3*r = -4*s - 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1040583 (base 10) to base 9\nAnswer: -1855363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6611 * 86.8\nAnswer: -573834.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200223000 + -2330?\nAnswer: 200220010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1841 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -143*d + 2 + 75*d + 44*d + 2*d**2 as x + o*d + n*d**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 - 259*c**2\/8 - 42*c + 85\/2.\nAnswer: -(c + 2)*(c + 85)*(3*c - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -7*x**5\/36 - 115*x**4\/2 - 590*x**3\/9 + 58*x**2 + 1. Factor s(h).\nAnswer: -5*(h + 118)*(7*h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20731 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -490, -1965, -5042, -10303, -18330, -29705, -45010?\nAnswer: -64827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2304 and 7074?\nAnswer: 905472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 10:37 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/((-83)\/(14442\/116)).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*f**2 - 6*f + 11*f + 87 - 43 wrt f.\nAnswer: -12*f + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 - 3776*h**2 - 11202*h + 203580.\nAnswer: -2*(h - 6)*(h + 9)*(h + 1885)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*m = 40*m - 348 - 52. Solve -73*r + 12 = -69*r, -m*b - 5*r = -23 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80480 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**2 + 4*y. Calculate the remainder when c(-2) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 13 - (-6 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3759130, 3759122, 3759114, 3759106, 3759098?\n\"Answer: -8*a + 3759138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39.5 - 0.5. Let m = -40 - j. Which is the third biggest value? (a) -2\/13 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*l + 510. Let g = l + 381. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**2\/h)**47)**(2\/29) assuming h is positive.\nAnswer: h**(94\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + i + 4. Let k be u(0). Suppose -13 = -5*m + 4*a, a - 3 = k*m - 9*m. Let h(x) = -15*x - 1. Determine h(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512989 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 + 21.7. Let h = 2.7 - m. What is the second biggest value in -3, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -18*j**3 - j**2 + 2*j - 1. Let v be u(1). What is the remainder when 26 is divided by (-76)\/v + 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2*x - 50 = 0. Find the first derivative of 11*a**3 + 72 - 10*a - x + 10*a wrt a.\nAnswer: 33*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f**3 - 9*f**3 - 10*f**3 - 5*f**2 - 5*f**3 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2268254)\/(-63715) + 2\/(2\/(-25)).\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pap when three letters picked without replacement from {a: 17, p: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 324 (base 10) to base 12.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4910*v - 1 + 6388*v - 1 - 1.\nAnswer: 11298*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1255 and 1823935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 142*w - 73*w - 68*w - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**5\/5 - 21*l**4\/2 - 46*l**3 - 71*l**2 - 48*l + 235. Let j(v) = 0. What is v?\nAnswer: -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of i**5\/20 + i**4\/6 - i**3\/3 + 3*i**2\/2 + i. Let r be o(-3). Let a be r - (-1 + 0 - -2). Are -1 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhoh when four letters picked without replacement from {h: 7, o: 5}?\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 9, -14, -19 in increasing order.\nAnswer: -19, -14, -2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by -4\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = q - 3*q + 23, -5*t + 4*q = 1. Is 9 a factor of (-16)\/t*18\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000383011099 rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c + 8. Let u be (2 - -42)*(-4)\/(-16). Let l = u + -4. Let q be j(l). What is the greatest common factor of 11 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 2*t + 66 = 0. Let r(l) = -l + 9. What is the remainder when t is divided by r(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/2 (b) -2\/7 (c) 5 (d) 106\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24 - -4.24. Let x = 2009\/92 - 462\/23. Which is the fourth smallest value? (a) j (b) -1 (c) 1\/4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3313561?\nAnswer: 3313561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.030515 - -1.030515. Let k(g) = g + 5. Let y be k(-6). Let r be (2\/(-26))\/(y\/2). What is the closest to 1\/3 in o, -3\/4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 10*g**2 - 8*g - 4. Let j be o(6). Suppose 3*w = -17 + j. Let v = 36 - w. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 + 697. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(352))\/(-1*sqrt(72)).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1200) - 1*sqrt(1200)))\/((sqrt(24)*-2)\/sqrt(6) - sqrt(4) - (sqrt(16) - (2*sqrt(16) + sqrt(16)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*o + 6*o**4 - 2*o**2 + 13*o)*(1 - 1 - 2*o).\nAnswer: -12*o**5 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 21*a**3 + 240*a**2 + 198*a + 1081. Calculate w(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose f = -f + m. Solve 15 = x + 4*s, 4*x - s - 3 = f*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 211*d - 1324. Calculate v(112).\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 5) to base 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 232?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 539932 and 387833.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156175679.9305 + -0.18.\nAnswer: 156175679.7505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1735 + -1309. What are the prime factors of m?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 t, and 1 u when three letters picked without replacement from {t: 2, a: 1, x: 8, q: 2, u: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Suppose -5*l + 4*x - 1 = 5, 0 = l - 2*x + 6. Let k = 3 - 1. Let z(w) = 0*w**2 - 4*w**l + w**k. Determine f(z(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r + 69655996. Suppose 2*i = -81413999 + r. Round i to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(-1*sqrt(4)*-1) + -1 + (-2 + (sqrt(13) - sqrt(26)\/sqrt(2)) - sqrt(13)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43131873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -43? (a) 0.9 (b) 2\/7 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -7*g**3 + 6*g**2 - 43*g + 3. Let j(v) = -19*v**3 + 19*v**2 - 130*v + 8. What is 8*a(d) - 3*j(d)?\nAnswer: d**3 - 9*d**2 + 46*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/234 and (33\/180 + 0)*(-22 - 16610\/(-780)).\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -34*x**2 + 12*x + 39*x**3 - 14*x**4 + 3*x**5 - 2*x**2 - 4*x**4.\nAnswer: 3*x*(x - 2)**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 12. Let m(u) = -2. Let f(h) = 6*m(h) + o(h). Let z(d) = 145*d. Calculate f(z(g)).\nAnswer: 145*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 7. Let b(n) = -4*n - 14. Let t(x) be the third derivative of x**4\/8 + 7*x**3\/3 + 38*x**2. Let w(g) = u*t(g) - 2*b(g). Calculate w(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377657?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/270 and -181\/270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmlmmmmmmmmmmmt.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 79 - 122. Which is the smallest value? (a) 0.1 (b) n (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, d: 1, i: 1, g: 1, x: 2}. What is prob of picking 1 n and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1296, 2107, 2918, 3729, 4540?\nAnswer: 5351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 191*g*n**4 + 10383*g + 4*n**4 - 1 wrt n.\nAnswer: 764*g*n**3 + 16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1530780.\nAnswer: 2, 3, 5, 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 3 = 18. Solve h*i - 8*i = -4*z + 5, -z = 2*i - 11 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42247116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 389*y + 1362*y = 45526 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(60\/100)*(-2 + 2 + 1445)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgg when three letters picked without replacement from omggmmg.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65157.\nAnswer: 3, 37, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 827055.\nAnswer: 3, 5, 18379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((3036\/(-110))\/(-23))\/(-3*(-3)\/45)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684 divided by -192974.\nAnswer: 342\/96487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-5)\/((-30)\/9) + -2. Let v be (-1)\/3 + 16\/30. Let x = 2 + -2.1. What is the closest to m in v, -2\/9, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -382, -1206, -2030?\n\"Answer: -824*i + 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i = 201*i - 1332 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75653 - 75651. Let -1\/5*v**3 + 1\/5*v - 2\/5 + 2\/5*v**r = 0. Calculate v.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 2272*u - 210972. Calculate k(-97).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5*b**2 - 1.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -690, -1426, -2162, -2898?\n\"Answer: -736*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05 and 3040.\nAnswer: 3040.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0118 and -202.1.\nAnswer: -202.0882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18399854 to the nearest integer?\nAnswer: 4290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 5. Let h(f) = -f + 4. Determine 6*h(s) + 5*u(s).\nAnswer: 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.133048 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*(-4 + ((1*sqrt(275))**2 - sqrt(275)) + 3).\nAnswer: -3288 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (282\/658)\/((-102)\/(-28))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 10*c**3 - 127*c**2 - 35*c - 51. What is r(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 433340 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 2\/3, 138, 3 in descending order.\nAnswer: 138, 5, 3, 2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -7.86697 and 0.17.\nAnswer: -7.69697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 3*j - j)*(-21 + 24 + 12)*(-58*j**4 + 127 - 127).\nAnswer: 1740*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w + 47. Let h(a) = -4*a + 19. Let c be h(8). Let r be l(c). What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 + 186*z + 92. What is the ten thousands digit of t(43)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00159595321 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000433081349 to 5 dps.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4130?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(98) + -2) - sqrt(98)) + -3 - -1*sqrt(98)*2*1)**2.\nAnswer: -140*sqrt(2) + 417","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14585 + -14566. Solve w - f = 5*l - 2*w, 6 = 2*w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 94 + 4 = 0. Let o = h + -60. List the prime factors of o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.41 * -0.5802.\nAnswer: -1.398282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5*d - 2. Let h(y) = -9*y + 4. Suppose 5*n = -3*z + 39, -2*n + 4*z + 6 = 2*z. Suppose n*q = 21*q - 60. Determine q*h(a) + 7*s(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 813970.9 decades in centuries?\nAnswer: 81397.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o**3 + 2*o**2 - 1. Suppose 8*h - 336 = -72. Suppose 0 = h*w - 27*w - 12. Let b(t) = -5*t**3 + 3*t**2 - 2. Determine w*b(n) - 3*y(n).\nAnswer: 2*n**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001935158 rounded to five decimal places?\nAnswer: 0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 + 19 = 0. Find the third derivative of -4*l**5 + 8*l**5 + j*l**5 - 3*l**2 - 2*l**2 wrt l.\nAnswer: 780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*r - 26*r + 6*r.\nAnswer: -33*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2877121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-166)\/(-2) + (7 - (-3 - -13)). Calculate the highest common factor of 50 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*s**5 + 85*s + 8*s + 330 - 333 - 26*s**5 wrt s.\nAnswer: -1160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**2 + 526*q - 828*q + 46*q**2 + 38*q**2 + 90*q**2.\nAnswer: 169*q**2 - 302*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132082681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6179\/(-222) - -28)\/(5\/2).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1111111001111111111010 (base 2) to base 4\nAnswer: 33321333322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000528604 to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 4 (c) -1 (d) -0.751\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -125. Let w = z - 26. Calculate the remainder when 167 is divided by w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 27*f**2 + 673*f - 194. Determine w(-26).\nAnswer: -792","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152670037.\nAnswer: 13, 223, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 33*r - 153. Suppose 4*i + 4*q = 488, -8*i - 3*q = -3*i - 618. What is the remainder when i is divided by d(6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433199756 a multiple of 204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**2*s*t + 4*i**2*s - 1841*i**2*t + i**2 + 2*i - 263*s - 82*t wrt i.\nAnswer: -10*s*t + 8*s - 3682*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 854 + -831. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 105*y + 256. Calculate j(-7).\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 17. Let t be q(4). Suppose t*a + a = 390. Let c = a - -44. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12.88 and -0.042605?\nAnswer: 12.837395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11831555 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30.957*-0.4.\nAnswer: 12.3828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:56 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (-14 - 2) - -13.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*k + 22 = b, -2*b = -2*k - 12. Let f be b\/((5\/(-1))\/(-55)). Let a(h) = -h**3 + 10*h**2 + 20*h + 5. Is 8 a factor of a(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 206835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/21 + 32\/(-30). Let i = 43 + -43. Which is greater: t or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + c + 2)*(c + 22*c + 7*c)*(-7*c**2 + 2*c**2 + 0*c**2) as x*c**2 + y + b*c**4 + g*c + v*c**3 and give b.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -477*x**3 + 78*x**2*z + x**2 + 4895*x*z - 4*x + 13*z + 2 wrt x.\nAnswer: -2862*x + 156*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1136*x + 1236*x - 7120 = -731*x - 457*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-35)\/(-14)*(-12)\/(-5). Let g be k + -4 + 1 + (-5 - -2). Solve 4*t + 16 = -g*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*c**2 - 2 + 2 + 2*c**2.\nAnswer: 73*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4318*u**2 + 2 - 12050*u**3 + 12062*u**3 + 0.\nAnswer: 12*u**3 - 4318*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 25 - 5. Suppose -5*c + 10 + 0 = 0. Let h be (-2)\/6*28 + c\/6. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -625323*j**4 + 26*j**3 + 367869051*j wrt j.\nAnswer: -7503876*j**2 + 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 0.2, 2, 4\/7 in decreasing order.\nAnswer: 2, 4\/7, 0.2, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26170, 26181, 26206, 26251, 26322, 26425, 26566, 26751?\nAnswer: 26986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -109608*5\nAnswer: -548040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3074 is divided by 738?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 15178?\nAnswer: 15183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 2600004*b.\nAnswer: 4*b*(b + 650001)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(-25*23\/(-1725))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 61 - 57. Suppose -n - t*r = -11, n - 2*n - 5*r = -16. Is 30 a factor of 153 + (-29)\/9 + (-2)\/n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 0*c + 3*c)*(8 - 8 + 8*c**4) + 4*c**5 - 4*c**5 + 4*c**5 + (c**2 + 2*c**3 - c**2)*(73*c**2 - 193*c**2 + 69*c**2).\nAnswer: -90*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2755*f - 20. Let v(h) = 2756*h - 30. Calculate 3*g(y) - 2*v(y).\nAnswer: 2753*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 0.02684.\nAnswer: 0.005368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -5, -39\/5 in increasing order.\nAnswer: -39\/5, -5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*p - 55*p + 627*p.\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112375 + 324149 = 3307*u for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*(-1 + (3*sqrt(128)*-1*2 - (3 + 3*sqrt(128))*5))**2.\nAnswer: -1417600 - 134400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10720*z**4 + 11421*z.\nAnswer: -128640*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -1\/3, 22\/9, -592, -3, -36?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*p - 20, 2*p + 20 = -3*p. Let w(a) = -7 - 3 - 2641*a**2 - 5*a + 15 + 2642*a**2. Let l(y) = 2*y + 5*y - 3*y - 4 - y**2. Give j*w(m) + 5*l(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -108 (base 16) in base 6?\nAnswer: -1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17982 and -48281061.\nAnswer: -48263079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26794*l = -3*p + 26789*l - 92, 6*p + 4*l + 160 = 0 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 4)*(-10*n**2 + 6*n**2 - 11*n**2)*(-3601*n + 1020*n + 1930*n) to the form s*n**2 + z + u*n + j*n**3 and give j.\nAnswer: 19530","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 185 + 2970*t - 374 + 189 - 8939*t to the form g + x*t and give x.\nAnswer: -5969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 + 125\/6. Let s = 319\/777 - -2\/111. Which is the smallest value? (a) s (b) k (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.069 - -2.469. Which is smaller: -0.1 or s?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -1 + 1 + 0*i**2 + 4*i**2. Let b = 173 - 125. Let n(l) = -8*l - 48 + b - 6*l. Give x(n(j)).\nAnswer: 784*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*b - 2*b - 42 - 14*b)*(-40 - 79 + 23) as w*b + u and give w.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 89. What is the units digit of 4\/18 - -53*(-87)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 41 - 15 + 42 = 4*q, -2*m = 3*q - 31 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2326, -2237, -2122, -1993, -1862, -1741, -1642?\nAnswer: -1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-3))\/(1\/(-3)). Let c(q) = 2*q**2 + 2*q + 8. Let z be c(-7). Suppose -2*j = 1 + 3, -s + z = -j. What is the greatest common divisor of u and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 149160 and 6216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -44*((1 - 2) + -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - x - 8. Let f(k) = k**3 - k**2 + 1. Determine 2*f(m) + i(m).\nAnswer: 2*m**3 - m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(44))**2 - (sqrt(11) - ((sqrt(11) - sqrt(11)*-1)**2 - sqrt(11)))*-5.\nAnswer: -176 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16532143 + 231550271\/14. Let d = f - 7168. What is the common denominator of -27\/2 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3160 - -7274. Is 185 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 6:02 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u*v**3 + 463116*u*v**2 + 4*u*v + 6385*v**3 + 887*v with respect to u.\nAnswer: 2*v**3 + 463116*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -1.5. Which is the closest to -2\/3? (a) n (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 3*v + 21 = 0, 5*m + v - 45 = -2. Let w = m - 7. Which is greater: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 322728 by -5.\nAnswer: -322728\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1044 or -1032?\nAnswer: -1044","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -69 - o**2 + 69. Let w(h) = -9*h**2. What is c(w(y))?\nAnswer: -81*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 730131 is divided by 10581.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51 + 104*z - 77 - z wrt z?\nAnswer: 103","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 3*s. Solve s = -3*t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0 + 12. Suppose 0 + 2 = 2*x, -5*u + 20 = -5*x. Suppose u*p - 33 = -v. Solve 2*y = -p, 2*y = 2*h - 6 - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -290*c + 348 wrt c.\nAnswer: -290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*i**4 - 4*i**3 + 91*i**2 - i + 2 wrt i?\nAnswer: 144*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -58 + 18. Solve -2*c = m*o + 20, 2*o - 2*c + 1 = -9 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -188, -542, -1068, -1766?\nAnswer: -2636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 5*o**2 + 7*o + 18. What is the least common multiple of l(-4) and 56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 196\/16 - 1\/4. Suppose -3*k = 2*o - 0*o - 8, -5*k + 3*o - y = 0. Is 36 - (-1 - (k + 0)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + p**2 + 2632*p + 10580. Determine n(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.380000782 - 4.38. Round x to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/33))**(3\/46))**(-2\/49) assuming z is positive.\nAnswer: z**(-2\/12397)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q**2 + 13 - 3*q**2 - 1 + 9*q. Let j be v(10). Let b be 4\/8 + 2539\/j. What is b rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3*p**2 + 4*f**3*p - 6*p**2 + 2*p wrt f?\nAnswer: -6*f**2*p**2 + 12*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fssssrfrrs. What is prob of sequence rrsr?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -7, 2, -4\/25, -2\/5, -0.5?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, -8, 0.053, -0.4, 8 in descending order.\nAnswer: 8, 1, 0.3, 0.053, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1047 + 73291\/70. Let b(u) be the third derivative of 3*u**2 + 0*u + 0*u**3 + 1\/420*u**6 + v*u**5 + 1\/42*u**4 + 0. Factor b(l).\nAnswer: 2*l*(l + 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -207\/5 + 41. Let w = -6330 - -6325. Sort s, -3, w in ascending order.\nAnswer: w, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -16 + 4 + -5 - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2))\/(-35 - 1627083\/(-46498))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -58*f**2 + 3*f - 21. Let l = -83 + 89. Let w(y) = 59*y**2 - 4*y + 21. Let p(q) = l*v(q) + 5*w(q). Find the second derivative of p(k) wrt k.\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 46*d**2 + d + 46. Let k be a(-46). Solve 2*j = -k*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4133024?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/26 and -5\/104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**2 + 9*j + 2. Let w be 490\/55 + (-17)\/(-187). Give o(w).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7377 - -6698315\/908. Let g = -25885\/6356 - d. What is the common denominator of g and (-2)\/6 + (-38)\/(-132)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -22 and 21952.\nAnswer: -482944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 + (34\/6)\/((-10)\/30). Let x(k) = -k**3 - 6*k**2 - 3*k + 1. Let q be (-17)\/3 - -1 - 50\/(-75). Let o be x(q). Is v greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.344 times -877?\nAnswer: -301.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249647, 499269, 748885, 998495?\nAnswer: 1248099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32068996132 less than 6?\nAnswer: 6.32068996132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0737655327 - -1.\nAnswer: 0.9262344673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 8:55 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.10252 months to millennia.\nAnswer: 0.00367521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vheshshesaevveeeve. What is prob of picking 2 e, 1 a, and 1 h?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 2*l + 16, -4*l + 4*z + 1563 = 1587 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 994*v**3 - 8270*v + 2*v**2 + 16555*v - 8283*v as y + l*v**2 + d*v + u*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 4*p**2 + 3*p - 1. Let y be j(-3). Let g = -28 - y. Solve 3*c - 2*c = g for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*b**2*n**4 + b**2*n - b*n - 243*b - 761*n**5 - 103*n**2 wrt n.\nAnswer: 1632*b**2*n - 45660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*m = -22, -73*q + 71*q + 4*m + 92 = 0. Solve 0 = 14*h + q + 18 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2385295 is divided by 46770?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8114 and 894.\nAnswer: 3626958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -19332, -77288, -173882, -309114?\n\"Answer: -19319*i**2 + i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.47 - 0.57. Sort 2, r, -3 in ascending order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16954 = -26*t + 67988. Let j = -35907\/11 + t. Suppose 2\/11*y**4 - 18\/11*y - 14\/11*y**3 + 0 + j*y**2 = 0. Calculate y.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943 a factor of 507623355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -210\/59 or -4?\nAnswer: -210\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201374, 402755, 604134, 805505, 1006862, 1208199, 1409510, 1610789?\nAnswer: 1812030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 10) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -276.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 - m**2 + 2*m**2 + (10*m + 9*m**2 - 10*m)*((-3 + 5 - 4)*(-2 + 1 + 0) - 2 - 5 + 3 - 1 - 1 - 3) in the form v*m + r + b*m**2 and give b.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13740 and 31251630?\nAnswer: 62503260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 2) + (50 - -2). Suppose 3*m + 5*l = 46, -5*m + 4 + c = -3*l. Solve 3 = -5*j + 3*i, 2*j = 4*i - 2 + m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -276\nAnswer: 1\/276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 6*u**4 + 14*u**3\/3 - 4*u**2\/3 = 0?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1034 (base 6) to base 16.\nAnswer: -ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-53)\/((-2)\/12*-9). Let l = -2129\/60 - p. Suppose -5 = -3*a + 4*f + f, 5 = -5*f. Is a < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1537905*h**4 - 1143692 wrt h?\nAnswer: -6151620*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.33573 or -9\/14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31187 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 593370793 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-5)*(-700)\/(-105)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 385 is divided by 73?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 0*s**2 + 0*s**2)*(5 - 1 + 0)*(-9 + 13*s + 9).\nAnswer: 104*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, 3, 54, 143, 276, 459, 698, 999?\n\"Answer: i**3 + 10*i**2 - 18*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -991, -2668, -5015, -8032?\nAnswer: -11719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/56))**(-33)*j**36*j*j\/((j\/j**11)\/j) assuming j is positive.\nAnswer: j**(2777\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -555 - -763. Calculate the greatest common divisor of 48 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 1:58 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2035, -3779, -5265, -6493, -7463, -8175?\n\"Answer: 129*p**2 - 2131*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27975, 55682, 83389, 111096, 138803, 166510?\n\"Answer: 27707*q + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075404615 a multiple of 10845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30493?\nAnswer: 30493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(5) + 2*sqrt(5) + 5 - (0 + sqrt(5) + -2)) + -4 + 0 + sqrt(15)\/((sqrt(15)*-5)\/sqrt(5) - sqrt(3)).\nAnswer: -1 + 11*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22950*t**2*z**3 - 5*t**2*z**2 - 2*t**2*z + 6*t + 61*z**2 wrt z.\nAnswer: 137700*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {a: 1, f: 3, p: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -421938500 divided by 6.\nAnswer: -210969250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - 5*o**3\/6 - o**2 - 11*o. Let z be (27\/(-6))\/((-3)\/4). Let m be r(z). Solve g = x + 3, 0*x + x + m*g + 8 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from gfren.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 27, 73, 177, 369, 679, 1137?\n\"Answer: 5*w**3 - w**2 + 14*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Let p be 912\/216 + 10\/18*(-38)\/95. Sort -5, r, -1, p.\nAnswer: -5, -1, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 567.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230 = -5*w + 20*s + 10*s, -2*w + 4*s - 176 + 343 = 139 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -248.39 + 570.01. What is n rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-215)\/(-35) + (-6 - -1) - 1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 8*w**3 + w**2 - w - 2. Let k be c(2). Let n be (-8)\/6 - k\/(-48). Solve -5*h = -n*h - 20 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-9)\/15)\/(9\/(-10))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2. Let h(o) be the third derivative of 899*o**4\/12 - 1367*o**2. What is w(h(q))?\nAnswer: 3232804*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 29138 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 3. Let n(t) = 2*t - 3. Let i(m) = -7*m - 5. Let u(f) = 8*f + 6. Let g(v) = 7*i(v) + 6*u(v). Let x(d) = -g(d) - n(d). What is 2*q(y) + 3*x(y)?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2 + 3*j - 4*j - 3*j. Let c(k) = 6*k - 5. Let r(w) = -w + 1. Let t(v) = -c(v) - 5*r(v). Let u = 13 + -19. Give u*t(f) + d(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15 - 2412154220?\nAnswer: -2412154201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-1*1 + -6). Let n(q) = 497*q**3 - 496*q**3 + 5*q**2 + 2*q**2. Calculate n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (24\/(-4830))\/2*-4 and -62\/1771.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 335\/6. Which is the nearest to -0.1? (a) 1 (b) h (c) 0.54 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-3))\/(1019\/(-6114))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*a + 0*a + 8*a)*((5 - 6 - 3)*(-1 + 4 - 2) + 2 - 2 - 2) as j*a + q and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -15*l + 62 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77122489 to the nearest integer?\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -5189 != -472302\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a7a257 + 4?\nAnswer: 2a7a260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*t + 576, -2*l = 3*t - 474 - 86. What is the greatest common divisor of 235 and t?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -443503 divided by -20?\nAnswer: 443503\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + -30 + 74 + -32.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -3*g**4 + 2090*g**3 - 5549*g**2 - 2082*g = 0.\nAnswer: -1\/3, 0, 3, 694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12546 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-900)\/1)\/((-2)\/60)*(0 + 22). What is w rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 36 and -0.1413859?\nAnswer: -5.0898924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4129948 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, 100 in increasing order.\nAnswer: -7, 5, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -65889*c - 592995. Give j(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6609362795 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -111, -113, -115, -117?\n\"Answer: -2*i - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 450.3 + -449.3. Put -13, l, 2\/17, -0.5 in descending order.\nAnswer: l, 2\/17, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35760 and 17880.\nAnswer: 35760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 - 265. Suppose -2*k - g = -101, -2*g - 21 = -3*k + h. Let v = -207\/4 + k. Which is the third biggest value? (a) 4 (b) v (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8544*r**2 + 102522*r + 51. Determine h(12).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2\/((((z\/(z**(-1)*z))\/z)\/z)\/z))\/(z*z**(2\/5)*z*z)**(-7\/4))**(-10) assuming z is positive.\nAnswer: z**(-199\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.157 in -11, -14, 1, 0, -4\/43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3526)\/104 + 6\/39. Let d = 34 + a. Which is greater: 2\/5 or d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -24 (b) 0.1 (c) 2\/11 (d) 0.0236 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*w - 10, 0*x - 3*x + 2 = 5*w. Suppose -3*t - 42 = 18*t. Put 5, t, x in increasing order.\nAnswer: t, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392836 = -14*u - 94706. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1416 divided by -469.\nAnswer: -1416\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/(-6)*-2 - (-138567)\/(-117). What is the common denominator of -9\/32 and t\/(-208) + -1*2?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 4*a**2 + 3*a**2 + (1 + 1 - 4)*(2 + 0 - 3)*(-a**2 - 3*a**2 + 2*a**2))*(-5 + 6 - 3 + (1 + 2 - 5)*(-6 + 4 + 0)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from {r: 2, b: 4, z: 2, g: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1400)\/(-160) + (3\/(-5) - (-37)\/(-5))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 1\/20*b**5 + 0 + 0*b**4 + 1\/2*b**2 + 1\/6*b**3 - 18*b. Calculate j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5877702 is divided by 267167.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -11*m**3 - 5*m**2 + 5*m + 24. Let b(x) = -x**2 + x. Let s = -2 - 3. Let v(j) = s*b(j) + o(j). Differentiate v(i) wrt i.\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 3 = 13. Solve -2*z + 20 = -4*f, -u*z + f - 1 = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0 (c) 172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 576832.7 decades to months.\nAnswer: 69219924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((4 - 2) + (-8 - -7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5265 by -13.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/1449845?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114259721?\nAnswer: 114259721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1 and -339?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kama when four letters picked without replacement from {m: 6, a: 4, k: 1, x: 1, g: 3}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2042351.37064 - 1820607.3693. Let r = -221841 + h. Let n = -97 - r. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wsswsswsssswss. Give prob of picking 2 w and 1 s.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16880, -33716, -50556, -67400?\nAnswer: -84248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence illm when four letters picked without replacement from {m: 1, l: 2, i: 1, j: 3}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.02, -0.00559, -1\/3, 0.0474?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-19)\/((-437)\/(-207)))\/(-3)*((-80)\/(-36))\/(-4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24*k - 115. Let m be l(-5). Suppose -5*g - 10 = m*p - 8*p, 3*p + 6 = -3*g. Solve w + p*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 115 + 198)*(2*a - 5*a + a)*(1 - 1 + 2).\nAnswer: -312*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -2*2090\/352?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/20 - 3*a**4\/8 - 2*a**3 - 10*a**2. Determine x so that q(x) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -7*g + 1634. Let u = 211 - g. Solve u*b + 5 = -b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -332*j + j**4 + 331*j - 23*j**3 - 5*j**2 - 18*j**3 + j**4 + 3*j**2 to o + a*j**3 + x*j**2 + d*j**4 + v*j and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61\/3 in 6, -0.5, 1\/6, 0.4, 45?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*q = -10, -5*j - q = -0*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.79596km in meters?\nAnswer: 1795.96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -9\/2 (b) -2\/41 (c) 5 (d) -82 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 18. Suppose v = 2*y + 3*y + 155. Let c = 26 + y. Let z(b) = -b - 6. Determine z(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2147 is divided by 1064.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290435555.\nAnswer: 5, 179, 191, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/3)*(f**(-23)*f)\/f)**27 assuming f is positive.\nAnswer: f**(-612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 75190000 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x - 14*x + 4*x as y*x + h and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2 (c) -0.1 (d) -2\/7 (e) 1\/191\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*b + 1251 - 1566 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/45225 and -133\/1457250?\nAnswer: 13115250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6911041 to the nearest integer?\nAnswer: 2629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n - 3*n**4 - 4*n - 3*n**4 + 0*n**4 wrt n.\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67 - 67. Let p(w) = w**2 + w - 1. Give p(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 15*i**2 - 4*i - 15. Suppose 70*b = 68*b - 4. Let j(h) = -h**2 - h. Let z(n) = b*j(n) - y(n). Is z(13) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5 = 2*f, -m - 4*f = -5*m + 4. Is m > 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, f: 6, c: 3}. What is prob of picking 1 j and 1 f?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*w - 45 + 721. Calculate the greatest common divisor of 8 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1974353 + -572292. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5)**(-9) assuming x is positive.\nAnswer: x**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2154 - 2216) + -1 + 127.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 2 - 0. Suppose 5*o = 2*c - 32, -6*c + 32 = -2*c - h*o. Suppose -2 + c = -2*s, -2*s = -n + 7. Solve -3*w - 16 = y, n*w = y - w - 12 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2620466*h*s**2 + 7*h + 24*s**5 + 8897692*s wrt s.\nAnswer: 5240932*h + 480*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*p**3 + 72211*p**2 + 5612162*p.\nAnswer: -p*(p - 7298)*(10*p + 769)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 12, -j + 4*j - 4*c = 31. Let r = 11 - j. Suppose r*k = -4*s + 4*k + 34, -3*s = 5*k - 15. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by -3551652\nAnswer: 77\/3551652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130*h**2 - 257*h**2 - 138*h**3 + 127*h**2 + 112 wrt h.\nAnswer: -414*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1020816903?\nAnswer: 3, 6521, 52181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4424 = -31*d + 4548 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2531.18925 nanoseconds to days.\nAnswer: 0.000000000029296171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.13 + 0.13. Let g = 15 - -2. Let f = g + -17. Sort 3, f, o in ascending order.\nAnswer: o, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009511915 to five dps.\nAnswer: -0.00951","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 45497117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-3 - 2) + 13 + -27.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -3*d - 10, 0 = -2*d. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzcmzcz. What is prob of picking 1 c and 1 m?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1530\/3400)\/(195\/10*2\/(-5))?\nAnswer: -3\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -5. Let d = l - -18. Suppose -9*h = -d*h. Solve h = 2*x - 3 - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 40, -5, 5, -1\/4, -1\/3, -929, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4.9. Let x = -3.9 - p. Let o = -0.6 + 0.9. What is the closest to -0.2 in x, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {f: 1, x: 2, r: 9, i: 7, a: 1}.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 0. Differentiate 4*a**3 + 5 - 10 + j*a**4 - 4*a**3 with respect to a.\nAnswer: 52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v**3 - 2*v**2 - 2. Let i(l) = 3*l**3 + l**2 + l + 1. Let z be i(-1). Determine j(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27760741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-189) - (-1615)\/7. Let g = i + -48. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -281.5*-33444\nAnswer: 9414486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/4 - 17*m**3 - 543*m**2\/2 + 595*m - 1225\/4.\nAnswer: -(m - 1)**2*(m + 35)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4048, -4081, -4086, -4063, -4012, -3933, -3826?\n\"Answer: 14*j**2 - 75*j - 3987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 28. Let i = 1 - -21. Let x = i - s. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*m + 5, -4*x + 2 = 2*m. Suppose -x*b + 107 = 27. What is the highest common divisor of b and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -2 (c) -1.9 (d) 2\/17 (e) 1.61 (f) 2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 796850589 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 96 = -5*r + t, -2*t - 28 = r. Let b be (2\/12)\/(r\/16). What is the nearest to 4 in 3, -1\/8, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129791 or 1782?\nAnswer: -129791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 5*h**2 - h - 2. Suppose 4*o + 19 = -3*n, -4*n + 3*n - 4*o = 9. Let b be p(n). Factor 0*v**4 - v**3 + 2*v - v**b - 2*v**2 + 2*v**4 + 0*v**2.\nAnswer: 2*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26538 in -0.1, 3, -14.2, 1\/2?\nAnswer: -14.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 1 = -a + 8, -n + 8 = -a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*x**2 + 18*x**3 - 2*x**3 - 28*x**3 + x + 11*x**3 - 2 + 57*x**2 as a + n*x + j*x**3 + u*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*p = -0*p - 20, -p = 5. Suppose 8 = 2*f - c, b = -2*f - f - 2*c + 12. Solve 7 = -f*o - 5*a - 10, 3*o + 2*a = -4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*s - 32 = 23*s. Let t be 1\/((-10)\/(-4) + -2). Suppose z + 2*z = 0. Solve z = t*w - s*w - 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 20. Sort 5, -0.2, b in decreasing order.\nAnswer: 5, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43059 - 43061 + 86131 + 123*f.\nAnswer: 123*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13328040 and 151455?\nAnswer: 13328040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.149 - -1.749. Let z = -5.76 - l. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - -40. Suppose 5*m + w = k, 2*m = -4*k + 140 + 180. What is the least common multiple of k and 3\/(-2)*(-36)\/(-18) + 17?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*k**3 + 413*k**3 + 129*k**3 + 694*k**3 + 384*k**3 - 291*k**3.\nAnswer: 2188*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 1\/64, 1\/6?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 197972?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -22254, -22307, -22324, -22299, -22226?\n\"Answer: z**3 + 12*z**2 - 96*z - 22171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 4 + (5 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422511?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2124, 4439, 6754?\nAnswer: 9069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56639 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 931*r + 34. Let z(g) = -1861*g - 62. Calculate -11*s(a) - 6*z(a).\nAnswer: 925*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(3\/10)\/(r**(-2))**42 assuming r is positive.\nAnswer: r**(849\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccccscccccs. Give prob of picking 2 s.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 622973 and 303038?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 2*w - 1. Suppose 6*b - 9*b = 5*r - 28, -b - 3*r + 16 = 0. Let m be 11\/(33\/(-5)) - b\/3. Calculate u(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17468818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -28 + -35 + (18 - 0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -11348702\nAnswer: -10213831.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 29. Let q be 2\/13 + w\/(-26). Let b(f) = -f**2 - 4*f + 4. Let g(x) = -x**2 + x - 1. Let j(c) = b(c) + 5*g(c). What is j(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 63. Let a be i(-11). Let -1 + 12*m - 3*m**3 + m**2 - a + 0 = 0. Calculate m.\nAnswer: -2, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -4?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3103 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/25 and (0 - (-1 + 2))*(-2)\/((-43080)\/252).\nAnswer: 8975","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 75264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/6 and -52\/46954289.\nAnswer: 281725734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/10 + 399\/35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -284 divided by 1?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4\/11)*w*w\/(w*w\/(w*w**(3\/5))*w*w))**(2\/5) assuming w is positive.\nAnswer: w**(26\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 5, -57.88, -1\/5, -2, -1\/3?\nAnswer: -57.88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 1263, 4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -161615 from 0.1.\nAnswer: 161615.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q = 68*q - 10. Suppose -4*f - q*y + 6304 = 0, f - 1729 + 148 = 2*y. List the prime factors of f.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66945053?\nAnswer: 7, 1667, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -17. Let i = -0.5 + 0.4. Sort -2\/13, y, i in increasing order.\nAnswer: -2\/13, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**3 + 13*r**2 + 71*r**2 + 41*r**3 wrt r?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 5*d + 14. Let g be y(7). Suppose 23 = 3*x + s + 3*s, g = -2*x - s + 12. Solve 5*a - 8 = -w, -4 = x*a - w - 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 16, 2, -30, -86, -172, -294?\n\"Answer: -s**3 - 3*s**2 + 2*s + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -4*j + 48. Let r be i(11). Suppose 515 = r*v - 437. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 11*y - 8. Let v be t(-12). Solve -o + v*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -5. Let f = y - 7. Put 1, 2, f in decreasing order.\nAnswer: 2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 19. Suppose -16 = c*k - 70. Let o = 0 - -10. What is the remainder when k is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 10. Give r(-13).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399592 to the nearest integer?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 2*sqrt(128) + sqrt(128) + 3.\nAnswer: 3 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 7*v + 7. Suppose -2*z = -6*z + 140. Let r be 4\/6 + z\/15. Suppose 3*t - r = 3*s, -t = -5*s - 0*t - 21. Determine g(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = p - 123 - 43, 4*k - 270449*p = -270454*p - 234 for k.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w. Let j(n) be the second derivative of -72*n**3 - 86*n**3 - 59*n + 42*n**3. Determine o(j(l)).\nAnswer: -696*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-6*((sqrt(448)*5 + sqrt(448) - sqrt(448))**2 + sqrt(448)).\nAnswer: -336000 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -832439\/1254 - -1991\/3. Calculate the common denominator of n and -89\/228.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 - (3 - 10))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.882 to zero decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 110 = -m, h - 22 = -0*m - 5*m. Calculate the remainder when h is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4125953\/38 or 108577?\nAnswer: 108577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 65628d (base 14) to base 7\nAnswer: 41130336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6521 and 281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 484323 or 484322?\nAnswer: 484323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k - 3*k**3 + 4*k**4 - 3*k**4 - k**3 + 2*k**3 in the form p + a*k**4 + q*k**3 + w*k + c*k**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p\/((p\/(p**(-6)\/p))\/p))\/p)\/(p*p\/(p**(-4\/5)*p*p*p)) assuming p is positive.\nAnswer: p**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 21*c - 36. Suppose 3*d - 4*a = 17 - 1, c*a = -d + 16. Which is smaller: 7 or d?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 1. Suppose -r = 2*c - 4*c. Suppose -3*x - 15 = -2*v, -3*v - 25 = c*x + 3*x. Solve k - 3 = -g, 0*k - 2*k - 3*g + 8 = v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-1 - 4) + 0). Let u(p) = 4*p + 10. Let o be u(-8). Let h = -24 - o. Sort 4, s, h, 0 in ascending order.\nAnswer: h, 0, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19063 is divided by 155?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let u = 6 + h. Suppose 10*j - 6*z - 5 = -z, -3 = -5*j + 2*z. Calculate the remainder when u is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**4 - 5*h**3 - 49*h**2 + 60*h + 21 wrt h.\nAnswer: 12*h**2 - 30*h - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**3 - 35 + 35)*(g + g - 4*g).\nAnswer: -26*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59562 is divided by 8367?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4093946032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/12)\/(-6 + (-1430)\/(-240)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)*q**(-2\/3))**47 assuming q is positive.\nAnswer: q**(-235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5556 + -2.5656. Let l = -7\/3 + 2. What is the nearest to j in 1\/9, 3, l?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 197*l - 189*l. Let m = 0.9499 + 0.0501. Sort m, l, 31 in increasing order.\nAnswer: l, m, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 6 + 0*i - 2\/15*i**4 + 0*i**3 + 29\/200*i**6 + 1\/30*i**7 - 3*i**2 + 2\/15*i**5 + 1\/420*i**8. Solve d(r) = 0.\nAnswer: -4, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 2*m + 4*m)*(5*m**4 + 6*m**4 - 6*m**4) - 3*m**5 - m**5 + 2*m**5.\nAnswer: 8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g + w - 4263, g + 4*w = 845. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzzfj. What is prob of picking 2 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79 - -79. Which is the nearest to m? (a) 13 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from jnrljwvv.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*r + 20*r = -3*d - 29, 5*r = -4*d - 7 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235\/78 or -2?\nAnswer: -235\/78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16162*z - 16183*z + 32361*z.\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 840 + -585. Let z be 6\/4*(-2)\/(-1). Suppose -z*q + n = -294. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + (-5 - 47) + 32 + -64.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 + -141. Suppose 2*n = 5*z - 2, -10*n = -12*n - 4*z + 16. Solve -6*h + n*h = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 6*l**2 - 6*l. Let g be s(-5). Suppose g*n + 1304 = 3*p, -3*p + 1319 - 10 = -4*n. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/15 in -629, 24, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69515 = -2*p + 69487 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-165)\/210 + 1 + 4117\/(-22218).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*d - 48*d = -88*d. Suppose d = -3*b + 4*f - 25 - 42, 4*f - 16 = 0. Is b at most as big as -15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2244 + 9057\/4. Let h = -65314\/7 - -2161508\/231. Let d = h + -31919\/1320. What is the common denominator of o and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872949*q - 873152*q = 4060 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -1, 62.\nAnswer: -1, 62, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102 and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 - (-39)\/(2340\/80). Let z(w) be the second derivative of 0*w**3 + 8*w**y - 11\/12*w**4 + 3*w + 0. Differentiate z(l) with respect to l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6168774.7658 + 6170198. Let z = 1423 - k. What is z rounded to 2 dps?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 137717720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e - -f3595?\nAnswer: f3567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (sqrt(228) + sqrt(228) + sqrt(228)*-1 - sqrt(228)) + sqrt(228))*-3 + -2*sqrt(228)*1)\/(sqrt(144)\/(3*sqrt(432) + sqrt(12))).\nAnswer: -152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1886334190?\nAnswer: 2, 5, 13, 23, 31, 47, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2634282 and -107\/209898.\nAnswer: 445193658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -431, -2278, -5355, -9662?\n\"Answer: -615*b**2 - 2*b + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/10*325\/26. Let o = x + -1\/4. Let i = 2 + -4. Which is the biggest value? (a) i (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1262 divided by -376\nAnswer: 631\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4892 = -4*s, 2*m - 1361 = -s - 147. Let a be (-820)\/(-615)*78\/8. Calculate the highest common divisor of s and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -433 + 1214041?\nAnswer: 1213103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 995532 by -23.\nAnswer: -43284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of n**7 - 2*n**3 - 2. Find the third derivative of s(i) wrt i.\nAnswer: 840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30410 - 30306. What is the second smallest value in -10, x, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**3 + 805*g**2 + 15895*g + 84095 = 0. Calculate g.\nAnswer: -139, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*b - 3. Let w be (4\/b)\/(-1) + 3 + 0. Solve -2*r = 1 + w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 36 - 17)*(4*k + 6*k + 3*k)*(-2*k + 5*k + k).\nAnswer: 1040*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 1 = -4*v. Let n(y) = -v*y**3 + 35 + y + 3*y**3 + y**2 - y. List the prime factors of n(0).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -123160, -123158, -123156, -123154, -123152?\nAnswer: -123150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 607 is divided by 77.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59658179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6540*n**5 + 2*n - 48 wrt n.\nAnswer: -130800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1 + 1738*b**2 - 582*b**2 + 3*b + 59*b**3 - 577*b**2 - 582*b**2. Give y(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-25\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -71. Let a = -25 - y. What is the remainder when 85 is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.8 + 41.97. Let o = 2.07 - n. What is the closest to 1\/3 in 4, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m + m - 9*m.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p. Let z be f(9). Let m = 431\/6 + z. Let j = -1.04 + 0.74. Which is the smallest value? (a) -21 (b) 5\/4 (c) j (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:28 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 876\/7*b - 2\/7*b**2 - 95922\/7 = 0.\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11006)\/(-6) + -1 + (-2)\/6.\nAnswer: 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = 9*x + 54 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*11\/(-5)*(-355)\/(-71)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 4*m = -3. Let k(t) be the first derivative of t**5\/60 - t**4\/6 - t**3\/6 + 8*t**2 - 13. Let s(d) be the second derivative of k(d). Determine s(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -68*y**3 - 8*y**2 - 2*y + 2. Let o(u) = -342*u**3 - 40*u**2 - 11*u + 11. Calculate 2*o(s) - 11*z(s).\nAnswer: 64*s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-1))\/(1\/2). Let n be 24\/60 + (-18)\/f. What is the nearest to -1 in n, -3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10842237 and -1.\nAnswer: -10842238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**5\/15 + i**4\/24 - i**3\/2 - 2*i**2. Let h be y(3). Suppose 4 = 4*q - h. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.1, 1, -1, -1\/10, 53 in ascending order.\nAnswer: -1, -1\/10, 1, 1.1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 4*k**2 + 5*k - 4. Let f be u(3). Suppose 0 = f*p + 2. Does 10 divide (0 + p)*(-2 - 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.7? (a) 4 (b) 10 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 11, 5, 1 in decreasing order.\nAnswer: 11, 5, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688 = 7*p - 1132. Suppose -t + 14*t = p. What is the remainder when 77 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100 divided by 29899\nAnswer: -100\/29899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142 + (-5 - -9) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 - (-1 + (-4 - -289)). Which is smaller: -1193\/4 or f?\nAnswer: -1193\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5932)\/(-106) + (2583 - 2639) + (-4560)\/(-53)?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4*a - 366 = 0, -88 - 110 = w - 5*a. Let i = -131 - w. Calculate the greatest common divisor of i and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.5 + 23. Let a = 10 + p. Let l = a - 0.4. Which is smaller: l or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i = -31*i + 509 + 1086 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w + 2*w)*(15 - 21 - 22).\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/3, -8\/13, 4, 3?\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 16571374, 16571375, 16571376, 16571377, 16571378?\n\"Answer: z + 16571373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1848056?\nAnswer: 2, 7, 61, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110110111011111010010 + 101111?\nAnswer: -110110111011110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/30 + (-172)\/(-6). Suppose x*u - 4325 = 4*u. What are the prime factors of u?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 4 - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0092 * -0.676381.\nAnswer: -0.0062227052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > 2\/117367005?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50 + -50.0003. What is i rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 - 14 + 16 - 2*q - q**2 - 2*q. Let y(z) = -z**2 - z + 1. Give g(n) - 2*y(n).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 9, -4*m + 18 = -3*t - 23. Suppose 3*j - 9*o - 15 = -m*o, o + 10 = 2*j. Let d be j - -8 - (-2 + 0). Solve 8*f = 3*f + d, 2*c = -2*f + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, o: 2, c: 5, i: 3, x: 5}. What is prob of picking 1 i and 1 h?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7988 - 513 = 5*f. Let l = f + -1005. Let q be -3*1\/(-5) - 274\/l. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 9. Let y(z) be the third derivative of z**7\/5040 - z**6\/80 + 4*z**5\/15 - 2*z**2 - z. Let p(k) be the third derivative of y(k). What is p(r)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 1654 = h, 3*n - 4966 = 2*h. Suppose -49*s = -47*s - n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g + 8*g**3 + 71 - 2*g + g - 70 - g to the form d*g + u + f*g**2 + m*g**3 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1038 divided by -2\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*t + 6*t - 2*t)*(-176 - 63 + 55) to l*t + j and give j.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 2 (c) -7 (d) -0.5 (e) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/10 - 88\/55 - -2. Is n greater than 1\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -940, 62, -30, -2, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/4)*(a\/a**(-3\/2))\/a*a)\/(a**(1\/3)\/a*a)**(9\/4)*(a**(-1))**(-12\/7)*(a*a**(1\/2))\/((a\/(a\/(a*a**(-1\/2)*a)))\/a) assuming a is positive.\nAnswer: a**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 69.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s + 7. Let d be b(3). Let w(h) = -h**2 - 5*h + 5. Let y be w(d). Calculate the greatest common factor of y and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 2*a - 9, -2*a - s - 2 = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2365 and 2?\nAnswer: 4730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30.72 - -30.7. Let q = 1363 - 1363.3. Let h = 0 - 0. What is the nearest to m in 5\/2, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3794 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 31 = -23*b + 4*z, 0 = -3*b - 5*z + 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15898 is divided by 15884.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 119505132 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/85*-2*3\/6. Let u = -7.13 + 0.13. Put u, i, 5 in ascending order.\nAnswer: u, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 3\/2, 9, 1\/8, -0.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhhhhhihihih. What is prob of picking 1 i and 1 h?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*(b**26\/b)\/b))\/b**(-14) assuming b is positive.\nAnswer: b**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 9*l**3 - l**2. Let r be n(-1). Let d = 120 - r. What is the first derivative of 2 - w**2 + 130*w - d*w wrt w?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 907552 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22120142303 + -3?\nAnswer: -22120142311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*4)\/sqrt(6) + 4 + sqrt(17) + 3.\nAnswer: 7 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + 21*g**2 + 96*g - 2. Let r be p(-14). Suppose -f - 1175 = -5*c, -4*c - c + 1145 = 5*f. What is the greatest common divisor of r and c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/128*6*(-96)\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 3, 2\/11, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952 is divided by 422.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k + 5*k - 11*k.\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 13*d**3 - 2*d**2 - d + 2. Does 7 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 7*o + 15. Let n be -1*33\/3 - (-2 + -2). Let d be m(n). Let x = d - -21. Does 5 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/10 + ((-3612)\/15)\/(-7). Is -31 + k + (-342)\/(-1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -145\/3*s + 26\/3 + 11\/3*s**2.\nAnswer: (s - 13)*(11*s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = 0, -9*b + 2*f + 1958 = -8*b. Suppose 0 = 2*h + 2*h + 20. List the prime factors of 2\/(h*(-4)\/b).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -6. Let s(t) = -t**3 - 18*t**2 - 18*t - 17. Let o be s(-17). Put o, z, 4 in increasing order.\nAnswer: o, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvvvvvvvvh. Give prob of picking 1 h and 1 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 3, a: 12, c: 2}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, x: 1}. What is prob of picking 1 q and 1 x?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2 + 25*t + 3. Let n be o(-7). Suppose -2*z = -2*k + 6, -n*k + 23*k = 5*z - 15. Solve 0 = -5*d + 3*c + 4, 2*c + z*c + 16 = -4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 11*k**5\/60 - 667*k**2. Let z(l) = 22*l**2. What is z(u(a))?\nAnswer: 2662*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*t + 7881*d - 189219*t - 99 wrt t?\nAnswer: -d - 189219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3*y + 11169 = 0, 6671 = 2*r + 4*y + 1103. Suppose -50*a + 41*a = -r. What are the prime factors of a?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 31, 4, 90 in descending order.\nAnswer: 90, 31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -112877, -223239, -333601, -443963, -554325, -664687?\nAnswer: -775049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2\/3*j**4 - 1\/6*j**3 - 2*j + 0 - 1\/20*j**5 + 4*j**2. Let x be d(8). Solve x*c - 4 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 4*g + 22*g)*(5 + 0 + 2).\nAnswer: 84*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 26, 22, 14, 8, 10?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -723014*a + 70*a**3 + 73*a**3 + 723016*a as y*a**3 + s*a**2 + r + w*a and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -3*q + 17*q. Suppose -4*n = q*s - 8 - 2, 5 = 2*s + 3*n. Calculate the greatest common divisor of s and 120.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3, -0.1, 1.2, 186, 1.1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 372 divided by 4.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 651 + 658 = 3*g, -2 = 2*g + 2*u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -644, -5084, -17138, -40616, -79328, -137084, -217694, -324968?\n\"Answer: -635*b**3 + 3*b**2 - 4*b - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1305347 (base 9) to base 3.\nAnswer: 1100012101121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 - 2 + 3*s**4 + 2*s**4 - 5*s**4 - 3*s as t*s + l*s**3 + x*s**4 + r + j*s**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001259 to 4 decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1272 - 606. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*x**2 - 34*x + 126*x**2 + 75*x - 41*x.\nAnswer: 316*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 262 and 476.\nAnswer: 62356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 6:41 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*r - 112*r - 62*r - 30*r to w*r + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from {x: 2, j: 1, f: 1, n: 11, i: 3}?\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - h + 183, -103*h = u - 102*h - 59. Which is bigger: u or 60?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 49*p**3 + 15*p**2 + 4*p + 25. Let l be y(15). Suppose -4*x = -2*o - 3*x + 84435, 0 = 4*o + 5*x - l. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192907?\nAnswer: 11, 13, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in five quarters of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, w: 2, y: 1, c: 1}. What is prob of sequence ww?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/4 + 2445*r\/4 + 1225\/2.\nAnswer: -5*(r - 490)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 26, 14, -14, -64, -142?\n\"Answer: -v**3 + v**2 + 2*v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 595821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1644.1*2.\nAnswer: 3288.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12228220 to the nearest integer?\nAnswer: 3497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*n + 9, n = 2*m + 11 - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, -118, -127, -136, -145?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -328 - -324.64. Let v = l + 3.56. What is the closest to 11 in -4\/3, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68553683?\nAnswer: 11, 47, 97, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**2 + 10*l - 1. Let n be s(3). Let p = 163 - n. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 0, 2, -50 in increasing order.\nAnswer: -50, -5, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/2)\/(40\/(-100)). Let g be 138\/120 + (-6)\/l. Let z = 77 - 76.6. What is the second biggest value in g, 3\/8, -3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24 = -74. Suppose 0*g + 5 = -g. Let h = g - s. Solve -h*w - 4*d = 17, -5*w - d - d = 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/24 and -91\/14334.\nAnswer: 57336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**4 - i**3 + i + 1. Let z(g) = 35*g**5 - 8*g**4 - 15*g**3 - 53*g**2 + 8*g + 13. Let y(j) = -8*f(j) + z(j). Find the third derivative of y(r) wrt r.\nAnswer: 2100*r**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-1)*204\/(-1224)*36?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 8*t**2 + 18*t - 35. Calculate q(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 36693*d = -36698*d + 83, -4*x - 4*d + 76 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 883296 divided by 3067.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/(-57) + (-4)\/(-480)*-358)\/(12\/(-32))?\nAnswer: -14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 3. What is the remainder when 9 is divided by s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 14*s - 241. Suppose 0 = o - i - 1635, s*o + 7*i - 1651 = 13*o. What are the prime factors of o?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*s + 4. Suppose s*w - 38 = 202. Let c be (-1 - -71251)\/(w\/(-800)). What is c rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1607739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 206287327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/3 (b) -0.5 (c) 79.4 (d) -2168 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 123 divide 4434697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 - (12\/(-4) + -3). What is the second derivative of w - g + w - 11*w**2 - 4*w + 3 wrt w?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107 times 3148\nAnswer: -336836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -263230 to the nearest 1000.\nAnswer: -263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b - 557. Let j(y) = -7*y**2. What is j(w(r))?\nAnswer: -63*r**2 + 23394*r - 2171743","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1874 divide 102809657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8767072 divided by -547942\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 628 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 2*q**2 + 2*q. Suppose 5*u = -3*b - 40, 0*b + 5*u = 5*b. Let t = -8 - b. Let h be v(t). Put h, -4, 4 in increasing order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**4\/4 - 78*d**3 + 2607*d**2\/4 - 1995*d\/2 = 0. What is d?\nAnswer: 0, 2, 7, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 74, -20, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 + 22be?\nAnswer: 22c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 22*h - 19*h = -6, -2*m - 5 = h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 24 = -0*z. Let p = -9 - z. List the prime factors of 156\/4 + 0 + p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijjtrza. What is prob of sequence jtj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5b7b (base 12) to base 2\nAnswer: 10100001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.4 (b) -0.28 (c) 0.05 (d) -2\/21 (e) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*((6*(sqrt(117) + sqrt(117)*-2) - (-2 + sqrt(117))*-1) + (sqrt(117) + 1)*4 + sqrt(117) + -3 + 2 + sqrt(117)))**2.\nAnswer: 144*sqrt(13) + 1908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*a - 78*a + 24*a - 47605 = 850*j - 27*a, -3*j + 3*a = 165 for j.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 5*p + 2*t - 90, 3*t = -6. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 r, and 1 c when three letters picked without replacement from cgggrwr?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19615.\nAnswer: 5, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 856397490 to the power of 1\/3, to the nearest integer?\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/14, 5, -2\/2839?\nAnswer: -2\/2839","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202 - -12210?\nAnswer: 23012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.41 - -0.16. Let s = -0.45 - v. Put -3\/7, -5\/2, s in increasing order.\nAnswer: -5\/2, -3\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:45 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 6*l - 4. Let f be o(5). What is the common denominator of (f\/(-2))\/((-6)\/558) and -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7, -2\/5, -4, -0.405, 1\/7, -3.7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/7 (b) -5 (c) 16 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 512 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1643 + 1770.9. Let f = z - 108. What is f rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f + 6*f - 92, -3*y - 5*f = -83. Let p = 11 - 23. Let b = p + y. Which is smaller: 8 or b?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56) - sqrt(280)\/(sqrt(20)\/sqrt(4))) + sqrt(56))\/(sqrt(1152) + sqrt(1152) + (sqrt(1152) - 2*sqrt(1152)))*3.\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/((y*y*y**(-19))\/y))*y)**(7\/8)*(y*y**(15\/4)*y)**(-2\/71) assuming y is positive.\nAnswer: y**(-4519\/284)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46923 divided by 5?\nAnswer: -46923\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4340 by 35.\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-7) + (-25)\/7 + 3. Let l be 9 - (3 - 23)\/n. What is the third derivative of 7*g**5 + 3*g**5 + l*g**2 - 6*g**2 + 7*g**5 wrt g?\nAnswer: 1020*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, y: 2, m: 2, x: 1, b: 2}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/4 (b) 2\/25 (c) 0.03 (d) -0.2 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 - -179. Suppose -2*n - 4*v + 72 = u*n, 2 = -n + 3*v. Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**4\/17 + 1197508*u**3\/17 + 179332194362*u**2\/17 + 23656202921208*u\/17 + 780482594969352\/17 = 0 for u.\nAnswer: -299311, -66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 - 28*u - 4. Calculate the remainder when 158 is divided by h(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, k: 4, t: 4}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 437 is divided by 189?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - 13. What is the second biggest value in 0.5, v, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240)\/(sqrt(30)\/(sqrt(3) - sqrt(3)*2)))\/(sqrt(96)\/sqrt(512)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 44*r - 6. Let m be g(-6). Is 1\/1 + (-14 - m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/60)\/(156\/728)*-18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -377 + 373. Which is bigger: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -39. Suppose 3*u + 3*a - s = a, 0 = 2*u + 5*a - 22. What is the greatest common factor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 32028*q**4 + 2*q**2 - q + 6239719 wrt q.\nAnswer: 128112*q**3 + 4*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87*4\/(-30))\/((67\/268)\/(20\/(-128))).\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -3*f**3 - 58*f**2 - 33*f - 7. Is g(-29) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -110188, -220374, -330562, -440752?\n\"Answer: -h**2 - 110183*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 3*b**2 + 12*b - 8. Let t = -45 + 49. What is the least common multiple of o(t) and -2*(-2)\/(-4) - -11?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 0.1, -127, -1\/2, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35\/12 - -25\/6. Let n be (4 + -2 + -1)*(-7 + 406\/56). Suppose -12 = -4*p + p. What is the smallest value in p, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1000)\/(-32) - 2\/8.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 266?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.08.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15.067232 - 0\nAnswer: -15.067232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -6*f - 15. Let p be q(-6). Let v be 3\/(-9) - (-70)\/p. Suppose 0 = 3*j + 9, v*n - 7*n - j + 269 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48\/27 - 6\/(-27). Suppose w = s*w. Suppose w = -2*y + y + 160000. Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -140 - -455. Calculate the greatest common factor of c and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 578189167647*c**2 - 2 + 2 - 578189167648*c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3 = 3*h, -5*h + 20 + 15 = -3*k. Suppose l = 5*d + 24, 5*l = 5*d + 50 - 10. Let b = h + d. Solve 0 = -b*y - y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.4, -14, 0.05, 4 in descending order.\nAnswer: 4, 0.4, 0.05, -0.1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5276665151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/2 equal to 4\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*i**2*o + 2*i**2*r + 2*i**2 - 2*i*o*r - o - r + 1 with respect to i.\nAnswer: 18*i*o + 4*i*r + 4*i - 2*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 36?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(12*-14))\/(9\/72)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 66502973 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 212 - 172. Suppose -39*l + g*l + 18 = 0. Is l at most as big as -53\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 - (2 - 3) - 37.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 42770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57226792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33163945 at least as big as 33163945?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*k + 48. What are the prime factors of k\/1*(-1 + 2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 858 and 1394250.\nAnswer: 1394250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323178 is divided by 349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -17 + 5 - 2*t + 11 - t**3 + 65. Let b be r(0). Let o = -35 + b. Is o a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 61 = -11. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -3*r + 2*r. Suppose 1718*n - 1053 = 2383. Calculate the highest common divisor of n and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z + 3*z - z + (-24*z + 12*z - 22*z)*(-3 + 7 + 3)*(0 - 1 + 0) to the form d*z + o and give d.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8\/63 - -9130\/72891. Let g = h + -105207\/46280. Find the common denominator of -85\/6 and g.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 + 290630 - 3*d**3 - 290630 + 3*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (34\/(-6))\/(1\/(-63)). Let r = x + -212. Let g be -5 - r\/(-30) - 31\/(-6). Solve -3*s - 10 - g = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83.3 + -1.62\nAnswer: 81.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/33)*t*t**6*t*t)**(3\/4))**(-6) assuming t is positive.\nAnswer: t**(-885\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/17)*g**24\/g assuming g is positive.\nAnswer: g**(389\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 5*m\/4 - 3\/4.\nAnswer: (m + 3)*(2*m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2213789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-32))**(5\/13)\/(b**21)**(-2\/25) assuming b is positive.\nAnswer: b**(4671\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (771\/1799)\/((-6)\/28).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 532832 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 23191 (b) -0.17 (c) 5 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 2992?\nAnswer: 32912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3879 (base 12) to base 5\nAnswer: 201204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/376893 and 11\/141.\nAnswer: 376893","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:36 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 752 + 90\/6 + -7. Let l = -331 + k. What are the prime factors of l?\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2*a - 5*k + 850 = 0, 328 = -2*a + 5*k. Let h = -111 - a. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 57*l - 48. Let u(j) = -2*j**2 + 57*j + 49. Let n(t) = 5*b(t) + 4*u(t). Let x be n(-24). Round x to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*r - 132 = -0*r, -r = 3*j - 132. Is ((-15)\/(-6))\/5*j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/(-12))\/((-4)\/6). What is the third derivative of 3*r**q - 4*r**3 - r**2 - r**2 + 2*r**2 wrt r?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 236 + 4109. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34660.\nAnswer: 2, 5, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064 divided by -152.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 259, 258, 257, 256, 255, 254?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3. Suppose 0*s + 5*s + 10 = 5*j, 4*j + 3*s = 29. Suppose 4*h - 2 = -2*q, -j*h + 0*h = 4*q - 19. Suppose -3*z = q + 1. What is n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3892, 3890, 3886, 3880?\n\"Answer: -v**2 + v + 3892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99767, 199343, 298919, 398495, 498071?\nAnswer: 597647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(11))*-6 + (sqrt(275)\/sqrt(5))\/sqrt(5) - ((-1*sqrt(66)*1)\/sqrt(6)*-6)**2.\nAnswer: -378 - 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4988*f + 10160*f - 4796*f. Let u(h) = -4*h. Give d(u(c)).\nAnswer: -1504*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammmrrm. Give prob of sequence mar.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((4*sqrt(1088))**2 + -5 + sqrt(17) + 2)*-1.\nAnswer: -17404 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2804188\/81 - 34619. Find the common denominator of o and 10\/297.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4\/21)\/(a*a\/(a\/(a*(a*a**(-22)*a)\/a))))**(-2\/27) assuming a is positive.\nAnswer: a**(-790\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*v - 27 = -43*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.69 + 48.61. Let k = b + -39. Let x = k - 12. Sort -5, 2, x.\nAnswer: -5, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-654*p**2 - 445042*p + 445042*p)*(p**2 - p**2 + p**2).\nAnswer: -654*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 119, -5\/4, -793, 0.13 in descending order.\nAnswer: 119, 0.13, -5\/4, -793","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25488*i**2 - 7799*i wrt i?\nAnswer: -50976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*d = 237607 - 245377 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 640 - 1279\/2. What is the closest to i in 2\/129, -2\/5, -1?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q - 3*q + q + 3*q + q - 5*q + (-2*q + 0*q + 0*q)*(-3 - 2 + 3) + 0*q + 0*q - 5*q + (-2*q + 5*q + 6*q)*(-1 - 2 + 5).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 0.13?\nAnswer: 33.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 + -58. Suppose x*r - 5*c = r - 20, 3*r + 4*c = 16. What is the derivative of 14*o**2 + r + 4 - 5 + 6 wrt o?\nAnswer: 28*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1888538293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 3. Give y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -11. What is the derivative of 3*i**3 + 0*i**3 + 1 + 3 - i**t wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 842997 = 3*y, 3*y + 92 + 280911 = -s. Round s to the nearest 10000.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 4698?\nAnswer: 4694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -1 - 2. Suppose 3*g = 5*u - b, 4*g + 2*u - 4 = 12. Solve t + g = -0*t + 2*h, -h + 14 = -3*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 22, 5, -1949 in descending order.\nAnswer: 22, 18, 5, -1949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -22. Suppose -r + 1 = 3*x. Let s = 6506 + -6505. What is the closest to x in s, -3\/4, 2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*m - 26*m = -16. Solve -m*u - 4*c = -0*c - 4, 5*c = 2*u - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*z + 20 + 38*z - 71.\nAnswer: 2*z - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/29)*y)**(-2\/13)\/(y*((y*(y\/y**13)\/y*y*y*y*y*y*y)\/y)\/y*y*y)**(-45) assuming y is positive.\nAnswer: y**(-84887\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0801 and -1.1.\nAnswer: -1.0199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 270 and -90.4865?\nAnswer: -24431.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 4*g - 59. Solve -4*m = g*j, m - 3*j - 10 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -54*r**2 - 1. Let x(j) = -13642*j. What is x(k(g))?\nAnswer: 736668*g**2 + 13642","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 30*b**3 + b**2 - 1. Let y be x(-1). Let s = 63 + y. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 3. Suppose 3*y - 4*n = 0, 5*y + n + 3*n + 32 = 0. Let g be b(y). Let a = g - -9. Are -5 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 41474133*w - 183. Let b be m(15). Suppose 27*j + 323428188 = -b. What is j rounded to the nearest one million?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 11*k - 4. Let w be x(-4). Let g be (-24)\/(-9)*30\/1. Let s = g + -48. What is the greatest common divisor of w and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = f, -5 = -2*g + 5. Put -90, 5, f in ascending order.\nAnswer: -90, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101750 is divided by 338?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-85)*((-1500)\/(-10))\/(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/349083 and -67\/2393712?\nAnswer: 16755984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-4))\/((-3)\/(-6)). Let f(h) = 3*h**2 - 2*h + 1. Let t be f(g). What is the greatest common factor of 18 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) 5 (b) -0.048 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/121 and 62\/1287.\nAnswer: 14157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 10, c: 2}. What is prob of picking 2 c and 1 q?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 10 = -6. Suppose -g*u + 1 = -3. Solve 3*o - 2 - u = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.4906 + 0.0894. Round j to one decimal place.\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 51. Suppose 2*q - 2*m = 460, k*m - 5 = 8*m. List the prime factors of q.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.2, 19.49, 3, 0.4, 14\/47, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a\/(a\/((a\/a**(-3\/8)*a)\/a*a)*a))\/a)\/a))\/a**17)**17 assuming a is positive.\nAnswer: a**(-2091\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/5 + -1)\/((-9)\/(-45)). Let g(w) = w**2 - w. Let b(l) = -4*l**2 + 2*l + 1. Let f(a) = b(a) + 3*g(a). Let q be f(k). Put 0, q, 5 in descending order.\nAnswer: 5, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-7)\/t**1)\/(t**(-3))**(-7\/2))**(5\/6) assuming t is positive.\nAnswer: t**(-185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (89\/(-534))\/(((-2)\/(-12))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 203. What is a(-44)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:23 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 25*b**2 - 19*b + 29. Is i(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6500.725 millilitres?\nAnswer: 6.500725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 1482.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kiyyyyrieeeyykikyr. What is prob of picking 1 k, 2 r, and 1 y?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 164.199 to the nearest integer.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 276256 and 4183.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5\/15 + 94*r**4\/3 - 292*r**3\/5 - 12956*r**2\/15 - 21394*r\/15 - 3262\/5 = 0.\nAnswer: -3, -1, 7, 233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 2178.\nAnswer: 204732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-8)*v\/(v*v**(-7)))\/(v**(-2\/3))**(-2\/45) assuming v is positive.\nAnswer: v**(2156\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 53.\nAnswer: -7\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 + 4.7. Let p = -0.7 - -0.5. Suppose 2*y + 14 = -3*f, y = -2*f - 2*y - 16. What is the nearest to p in g, -6\/5, f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)\/(0 - -1). Let s = -293.9 - -293.8. Which is the nearest to -1\/4? (a) g (b) 2\/13 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -190 - r**2 + 28*r + 150 - 3*r**2.\nAnswer: -4*(r - 5)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -140904 (base 10) to base 11\nAnswer: -96955","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 837 = -f - 116, -i + 5*f + 499 = 0. Calculate the smallest common multiple of 632 and i.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1 = 4. Solve q = x - 2 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122862.2 + 7\nAnswer: 122869.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011000110 + 1110?\nAnswer: 1000011010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.07 + 4.07. Let y = -0.3 - -0.2. Let v = -6 - -9. What is the nearest to y in v, -4, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77190.\nAnswer: 2, 3, 5, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 67 - 8. Suppose -i = -x - 5*b + b, 2*x = 2*b + 168. What is the remainder when x is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -953.\nAnswer: -21919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, v: 5, w: 3, y: 3, f: 4}. Give prob of picking 1 n, 1 y, 1 w, and 1 v.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10146223 a multiple of 2386?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32985 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -68.\nAnswer: -340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -224 - 30?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 1538 - 618 = 0 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -g**6\/20 - 7*g**4\/24 - 334*g**3\/3 + 95*g**2 - 3*g. What is the first derivative of l(a) wrt a?\nAnswer: -18*a**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -5*q - 21 - 2, -4*q + 32 = 4*l. Let v(r) = -17 + 47 + 11*r - 24 + 104. Let p be v(-10). Solve -z + j - l = 3*j, p = z + 5*j + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12113 + 203?\nAnswer: -11410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 432901 (base 11) in base 8?\nAnswer: 2507247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 610583 - 1057583. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s - 4. What is the remainder when 2\/(1 - (-1)\/1) is divided by g(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 546 and 65002?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 1 n when three letters picked without replacement from {e: 2, n: 2, c: 3, d: 5}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(208)*2 - sqrt(208)) + -1 + sqrt(208) + sqrt(208) + -2 + sqrt(208).\nAnswer: -3 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 20*b + 36. Factor -6 + 141*o**2 - b*o + 6 - 11*o**3 - 156*o**2.\nAnswer: -o*(o + 1)*(11*o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*r = -r - 34 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13657929 by 104259.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-7*w - 13*w + 6*w)*(-6*w + 4*w + 4*w).\nAnswer: -56*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*w**6 - 15*w**3 + 100*w**2 + 2 wrt w?\nAnswer: -1200*w**3 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 16. Let f be -2*(3 + -2) + (127 - -1). Suppose 2*x = -t - 0*x + f, k*x = -4*t + 513. Calculate the greatest common factor of 12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.93768 - -0.06232. Is u smaller than 3821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2743\/1850 + 574\/185. Let y = j - 3\/25. Let b = 4 + -13. Sort y, 3, b in descending order.\nAnswer: 3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -6 = -411\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -104*y - 118*y + 218*y - 2 + y**2 in the form u*y**2 + r + k*y and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6979, 8520, 10061?\nAnswer: 11602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) - (sqrt(448) + -2)*2)**2 + (-1*sqrt(112)*6)**2.\nAnswer: -64*sqrt(7) + 4496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 665721.\nAnswer: 3, 7, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -16*u**3 - u - 2. Let m be h(-1). Solve 4*j = 3*j + 4*l - 24, 3*l - m = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ac5b (base 13) in base 2?\nAnswer: 10011110100101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(7\/4))\/u*u*u**(-13\/2))\/(u**4)**(-2\/31) assuming u is positive.\nAnswer: u**(-743\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(0 - 5 + 0)*(0*r - 3*r + 4*r)*(0 - 3 + 0).\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0.2 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -31*j + 35*j. Suppose 6*x + j = 31. Suppose k + 6*a - x*a - 10 = 0, -2*k + a = 0. Solve 2*v - k = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006959 rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/5 + 600\/(-125)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -169, -3, 75 in decreasing order.\nAnswer: 75, -3, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrxrrrrxrrxrrrxxxr. What is prob of sequence rr?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -61743.7 rounded to the nearest one hundred?\nAnswer: -61700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 213536 and -0.3.\nAnswer: 213535.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 23, -36, -129, -262, -441, -672?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**3\/3 - 5*k**2 - 6*k. Let z be i(-6). Let d = 3 - 3.1. What is the closest to d in 3, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/2 + 9*j**3\/2 + 3*j**2\/2 - 9*j\/2 = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = d + 3281*n - 3285*n, -4*d + 26*n - 28*n = 22 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 260*o + 1911. What is s(-7)?\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a decade in months?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 451*o - 448*o + 900*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, -0.1, -4, 9, -2\/29?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -458250, -458255, -458260, -458265, -458270, -458275?\n\"Answer: -5*i - 458245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44920.67nm to meters.\nAnswer: 0.00004492067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 9*i + 0*i + 3*i + 3*r = 5*i + 18, -8*r + 48 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 - 4*w. What are the prime factors of d(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by -65\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363653?\nAnswer: 23, 97, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, z: 1, i: 3, e: 5, b: 3, w: 1}. Give prob of picking 1 w, 1 e, and 1 b.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11106*x - 1022*x**3 + 2*x**5 + 9656*x - 19094*x wrt x?\nAnswer: 40*x**3 - 6132*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 43, 40, 35, 28, 19, 8, -5?\n\"Answer: -l**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((-2*sqrt(330))\/sqrt(10))\/sqrt(11) - (sqrt(24)\/(sqrt(24)\/sqrt(3)) + 4)**2) + -3.\nAnswer: -20 - 10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -3*t - 4. Calculate the least common multiple of 11 and (t + (-6)\/2)*-1.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -30911758 and 2466?\nAnswer: 30914224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 7 + 103 = 0. What is the lowest common multiple of f and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s**3 + 11*s**2 - 8. Let k = 15 + -24. Let r be 3 + -5 - k - -1. Let d(q) = 2*q**3 + 4*q**2 - 3. Determine r*d(i) - 3*f(i).\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 6. Calculate the least common multiple of 24 and l(-3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 2*n = 98*r + 60*r + 8472, 2*r - 3*n + 94 = 0 for r.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-14)*2*7. Suppose 2*k - m*k = 0. Suppose 4*u = -k*z - z + 266, -u + 59 = 4*z. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -73 - -15. Let n = q + 89. Let c = 28 - n. Sort c, 0.4, 1.\nAnswer: c, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -6*q + q + 28, 8 = z + q. Suppose -5*d = v - 30, -v = -z*d - 2*d + 40. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2175600 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 426119185, 426119184, 426119183, 426119182, 426119181?\n\"Answer: -x + 426119186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - ((-1)\/2 + 20\/8). Let d(k) = 523*k - l*k**2 + 3*k**2 - 520*k. Determine d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/2*28\/84)\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-8)\/72*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2547)\/(-4) - 10\/(-40). Let q = 1\/15876 - 7828\/3969. Calculate the common denominator of c\/(-1120) + (-4)\/10 and q.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15*r - 34431 = -11*r, -3*t - r + 20662 = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 56 = 17*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -63*d**2 + 8982*d - 5115. Determine t(142).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -130*p**2 - 174 wrt p?\nAnswer: -260*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49750 is divided by 157?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -2*q - 5 - 0, 4*m - 2 = 2*q. Let h = 2 + m. Let x(v) = -3*v + 22. Calculate the remainder when x(7) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21568 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(0*t**2 + 2*t**3 + 0*t**2 - 5*t**3 + 2*t**3 + t**3 + (-4 + 4 + 2*t**2)*(-4 + 4 - 2*t))*(-1 + 2 + 0).\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -1, 1\/4, -258, 2, -0.46?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 524.9563 millimeters to kilometers.\nAnswer: 0.0005249563","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14184)\/(-10945) + -1 + 60\/75. Let b = -1\/199 + p. Factor -2\/11 - 8\/11*d - 8\/11*d**3 - b*d**2 - 2\/11*d**4.\nAnswer: -2*(d + 1)**4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/2 (b) -0.4 (c) -4\/15 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * -5.72.\nAnswer: -51.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 2\/9, -3\/8, -1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 50*n**2 - 135*n - 129. Determine o(47).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*(u**(-1\/10)*u)\/u*u)\/u)*u**10)**(-2\/27))**11 assuming u is positive.\nAnswer: u**(-1111\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 7540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 1:25 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/14 and 103\/5096590.\nAnswer: 35676130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118235825 is divided by 80928?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2.238 * -0.2\nAnswer: 0.4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4670717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -37. Let j be (2 + i)*0 + -5. Sort j, -18, 5.\nAnswer: -18, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*q**3 - 15*q**2 + 460*q + 60.\nAnswer: -5*(q - 2)*(q + 2)*(23*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -185\/12 - -71\/4. Let p be 6\/(-15) - (68\/(-20) + 1). Let g be (p*(-3)\/15)\/(-1). Which is the closest to 1\/5? (a) -0.3 (b) g (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*m - 376*m + 173*m + 142*m**2.\nAnswer: 142*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*v - 8. Let m(j) = 2*j**2 - v*j**2 + 0*j**2. Let d(i) be the third derivative of -i**4\/24 - 12*i**2. Calculate d(m(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqqjqqqqqq. What is prob of picking 1 q and 1 j?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 6:25 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*s - 2*l - 42, 0 = 51*s - 49*s + l + 20 - 32 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -143 + 146. Solve -h = -0*i + i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -j + 60. Is (16\/(-2))\/4 + j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 - 7*v**3 + 10*v**2.\nAnswer: v**2*(v - 5)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 28*z**2. Let c(v) = 4*v - 6. Let n(q) = 5*q - 7. Let g(k) = 7*c(k) - 6*n(k). Determine o(g(u)).\nAnswer: 112*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + o - 2*g + 4 = 0, -5*o + 31 = -4*g. Let l = 9 + -6. Solve 22 = 5*s + o*k, -4*s + 25 = -l*k - 2*k for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486.8 + -488. Let b = -2.8 - -1.4. Let v = b - g. Is -3 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3, 0*b - j = 2*b - 57. Let x be (-2 - (1 + -6))*(-1510)\/(-6). Let l = 761 - x. Calculate the remainder when b is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 126146148 by 3292.\nAnswer: 38319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*r = 1096, -2*k + r + 4 + 553 = 0. Find the common denominator of 1\/15 and (-4)\/(-18) - 6\/432*k.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104307 divided by -838?\nAnswer: 104307\/838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8294 is divided by 249.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1301922 or 1302329?\nAnswer: 1301922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s + 48. Suppose 13 = a + 3*y + 2, -3*a - 2*y + 12 = 0. Is 12 a factor of 2\/12 + 718*a\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (2 + (-2 - 3) - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*l - 2500 + 2531. What is the fourth biggest value in 4, l, -11, -2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -542, 3, 132 in decreasing order.\nAnswer: 132, 3, -542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -798*x + 239 wrt x?\nAnswer: -798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/6230 and 67\/17032820.\nAnswer: 17032820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2578745 + 2578745 - 2*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539463237?\nAnswer: 3, 179821079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 - 31*b**2 + 24*b + 17. Give l(-16).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 11*z**2 + 6*z - 7. Let y(n) be the third derivative of 11*n**5\/20 + 17*n**4\/24 - 10*n**3\/3 + 247*n**2. Give 17*r(b) - 6*y(b).\nAnswer: -11*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -357 - -381. Let u = x - 24.39. What is the second biggest value in 0.2, 2\/13, u, -3\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 22*t + 56. Let p be y(8). Let k = 403 - p. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3423 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 6*n - 1. Let m(j) = -j**2 + 1. Suppose 4*v = -0*v + 4. Let x(i) = v*p(i) + 2*m(i). What is x(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328810*r**4 - 4277995*r**2 wrt r.\nAnswer: 7891440*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**3 - 61*q**2 + 394*q - 31. Let l be n(9). Suppose 2*z = -z + 369. Suppose -7*s = l - z. What is the greatest common divisor of 247 and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34996.2l to millilitres.\nAnswer: 34996200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(14\/3)*r*r)\/(r\/(r*r\/(r\/(r*r**(-29)\/r))*r)))\/(r**(11\/5)\/(r\/r**(-23))) assuming r is positive.\nAnswer: r**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4261584 and 4261584?\nAnswer: 4261584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 44*l**2. Let x(j) = 7*j**2. Determine x(i(m)).\nAnswer: 13552*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -23, -56, -113, -200, -323, -488?\nAnswer: -701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 11) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 + -26. Let g = 15 + k. Suppose -19 = -2*a - y, 0*a - g*y + 6 = -2*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 + 0 + -2)*6\/729*9?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -h - b, h - 10 = -2*h + 2*b. What is the third derivative of -2*r**3 + 8*r**2 - 4*r**2 + h*r**3 wrt r?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 0 - 3. Let d = o + 1. Suppose 4*u - 3 = -2*n - u, -n - 2*u + 4 = 0. What is the greatest common divisor of d and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**4 - 3*t**4 + 2*t**4)*(339 - 339 - 32*t) - t**5 - t**5 + 0*t**5 + (-t - 2*t**3 + t)*(1 + 2*t**2 - 1) - 6*t**4 + 6*t**4 - 6*t**5.\nAnswer: 52*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(2\/3)*k)**40*(k*k*k**2)**(-1) assuming k is positive.\nAnswer: k**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from {q: 4, e: 1, s: 5, m: 1, a: 3, c: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 3*l - 16 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684 + 20139*w + 684 + 773*w.\nAnswer: 20912*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (178\/(-2937))\/(12\/(-42)*(-7)\/(-9)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 28)\/(56 - (-1050)\/(-21))?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 10 = -0*h. Suppose h*i + 16 = 6*i. Suppose -2*w = i*b - 62, -3*w + 56 = -w + 2*b. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0*(w*w\/w**0)\/w)\/((w*((w\/w**(-5)*w*w)\/w)\/w)\/(w\/(w**(1\/9)*w))) assuming w is positive.\nAnswer: w**(-46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 7. Let t = a + 0. Let k(g) = g**2 - 3*g - 3. Let r be k(t). Solve 3*i + r = 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, 15, 12 in ascending order.\nAnswer: -4, 0.2, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/827 and -43\/31.\nAnswer: 25637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0.07, -5, -0.5, 7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (801560\/(-33168))\/(((-44)\/24)\/11).\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-8)*2)\/1. Suppose 0 = -s*a + 2*y - 0*y + 180, -y + 108 = 3*a. Suppose 3*i - a = -i. Solve 0 = 4*f - i - 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 2. Let j(h) = 10*h**2 - 7*h**2 - 3 - 4*h - h**3 - h**2 + h**2. Is 23 a factor of j(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, b: 2, w: 1, o: 3, y: 4}. What is prob of sequence yyy?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72117 divided by -9.\nAnswer: 8013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 - 5) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3241 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3963687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8599*i - 25799. Determine j(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2483561681 to the nearest integer?\nAnswer: 1354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/6068 and -3\/82.\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 0 + 6*p - 1158*p**2 + 1159*p**2 - 6 - 5. Give i(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}